The display summarizes the favorite sports among 9th graders.Favorite sports Baseball or Softball
▪ Basketball
■ Lacrosse
■ Soccer
- Field hockey
12%
16%
8%
20%
44%
Which of the following describes the data set?
O The data is univariate and categorical.
The data is univariate and numerical.
O The data is bivariate and categorical.
O The data is bivariate and numerical.
Answers
The data set of favorite sports among 9th graders is univariate and numerical.
What are univariate and bivariate data?Univariate data just has one variable. Since there is only one variable that varies, univariate data analysis is the most straightforward type of analysis.
In bivariate two different variables in this kind of data. The analysis of this kind of data focuses on linkages and causes, and it seeks to understand the causal connection between the two variables.
Given, A set of data of the favorite sports among 9th graders.
Baseball or Softball, Basketball, Lacrosse, Soccer and Field hockey
and the percentage of 9th graders who plays a certain type of sport.
This is a univariate and numerical type of data set not bivariate,
An example of bivariate data is temperature and ice cream sales in the summer season as the sales of ice cream must be related to the temperature.
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Related Questions
The surface area of the block is
Answers
Answer:
656 cm2
Step-by-step explanation:
Hope this helps!
what is the product if the polynomials(8x^2 - 4x - 8)(2x^ + 3x + 2)
Answers
To solve the product, we have to use the distributive property.
\((8x^2-4x-8)(2x^2+3x+2)=16x^4-12x^2-16\)The powers with similar bases are solved by just adding their exponents.
Therefore, the product of the polynomials is equivalent to\(16x^4-12x^2-16\)
Which angle is congruent to ∠8? Select all that apply.
A. ∠1
B. ∠2
C. ∠3
D. ∠4
Answers
Answer:
Angle 1,Angle 4
Step-by-step explanation:
They're
The value of angle ∠1 and angle ∠4 will be congruent with angle ∠8. The correct options are D.
What are lines and angles?Lines are straight with little depth or width. Perpendicular lines, intersecting lines, transversal lines, and other types of lines will be covered. An angle is a shape formed by two rays emerging from a common point. In this field, you may also come across alternate and corresponding angles.
Given that there are two lines e and f cut by the transversal line g making different angles.
From the property of the alternate interior angles the two angles, 1 and 4 are congruent to angle 8. The value is mathematically written as,
∠1 = ∠4 = ∠8
Therefore, the value of angle ∠1 and angle ∠4 will be congruent with angle ∠8. The correct options are D.
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I need help Please finish the problem until the end and
answers in order !!
Here
thitase Cotines
Suppose that supply and semand for a ceitain coenmodity are descrbed by the supply aurve, \( p \) w \( 000019+063 \); and demand ourve \( p=-0003 q+92.10 \) : Determine the quantivy o
Answers
The equilibrium quantity for the commodity is approximately 286,896 units, and the equilibrium price is approximately $15.61.
To determine the equilibrium quantity, we need to find the quantity at which the supply and demand curves intersect. This is the point where the quantity supplied is equal to the quantity demanded.
The supply curve is given by
�
=
0.000019
�
+
0.63
p=0.000019q+0.63 and the demand curve is given by
�
=
−
0.0003
�
+
92.10
p=−0.0003q+92.10.
Setting the two equations equal to each other, we have:
0.000019
�
+
0.63
=
−
0.0003
�
+
92.10
0.000019q+0.63=−0.0003q+92.10
To solve for
�
q, we can simplify the equation:
0.000319
�
=
91.47
0.000319q=91.47
Dividing both sides of the equation by 0.000319, we get:
�
≈
286
,
895.92
q≈286,895.92
Therefore, the equilibrium quantity is approximately 286,896 units.
To determine the equilibrium price, we can substitute the value of
�
q into either the supply or demand equation. Let's use the demand equation:
�
=
−
0.0003
(
286
,
895.92
)
+
92.10
p=−0.0003(286,895.92)+92.10
Calculating this, we get:
�
≈
15.61
p≈15.61
Therefore, the equilibrium price is approximately $15.61.
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whats 78,563 divided by 98
Ty for whoever helps me <3
Answers
Answer:
801.66
Step-by-step explanation:
calculator
Answer:
801.6632653061
Step-by-step explanation:
.......
Find the magnitude of WX for W(3, -3, 1) and X(8, -3, -6)
Answers
Answer:
Step-by-step explanation:
\(WX=\sqrt{(8-3)^2+(-3+3)^2+(-6-1)^2 } \\=\sqrt{25+0+49} \\=\sqrt{74}\)
Answer:
sqrt 74
Step-by-step explanation:
edge 2020, just did the practice
help me solve the simultaneous linear inequalities
Answers
Answer:
The inequality form is -4<x<-2
The Interval Notation is (-4, -2]
I hope this helps!
A rubber ball is dropped from a height of 100 feet above the ground. Each time the ball hits the ground, it bounces back to reach a height that is 80% of its previous height. After how many bounces will the ball first no longer reach a height of at least 62 feet? Responses
A. 1
B. 2
C. 3
D. 5
Answers
The ball will no longer reach the height of 62 feet after 2 bounces. The Option B.
How many bounces until ball reaches <62ft?Let h be the height of each bounce.
Initially: h = 100 feet.
After first bounce, the height is 0.8h.
After the second bounce, the height is \((0.8)^2 * h\)etc.
After n bounces, the height of the ball will be (0.8)^n * h.
We have to get smallest n such that \((0.8)^n h < 62.\)
Solving for n, we get:
\((0.8)^n * h < 62\\(0.8)^n * 100 < 62\\(0.8)^n < 0.62\\n > log(0.62) / log(0.8)\\n > - 0.2076083105 / - 0.096910013\\n > 2.1422792555\\n > 2.\)
Therefore, the ball will no longer reach the height of 62 feet after 2 bounces
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resolver
-[(5-8+12] ÷ 9:
Answers
Answer:
Are you sure you're not missing any brackets? Cause if you do, the answer might be different
Answer:
-1
Step-by-step explanation:
-[(5-8)+12]÷9
\(=-(-3+12)\)÷9
\(=-(9)\)÷9
\(=\frac{-9}{9} \\=-1\)
Solve for a positive value of x. log9 (x) = 3
Answers
Here is a triangle ABC.
A
30°
Work out the value of sin ABC
Give your answer in the form
6.5 cm
n
C
10.7 cm
m where m and n are integers.
B
/+21.
Answers
Triangle ABC, we are given the measure of angle A as 30 degrees, the length of side AC as 10.7 cm, and the length of side BC as 6.5 cm.
To work out the value of sin(ABC), we can use the trigonometric ratio of the sine function.
The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle.
In the given information, we don't have a right triangle or the length of the side opposite angle ABC.
Without this information, it is not possible to calculate the value of sin(ABC) accurately.
If you have any other information regarding the triangle, such as the length of side AB or the measure of angle B or C, please provide it so that I can assist you further in calculating sin(ABC).
We may utilise the sine function's trigonometric ratio to get the value of sin(ABC).
The sine function connects the ratio of the hypotenuse length of a right triangle to the length of the side opposite an angle.
A right triangle or the length of the side opposite angle ABC are absent from the provided information.
The value of sin(ABC) cannot be reliably calculated without these information.
Please share any more information you may have about the triangle, such as the length of side AB or the size of angles B or C, so I can help you with the calculation of sin(ABC).
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What is the value of the expression below?
Answers
Answer:
A.11
Step-by-step explanation:
5×5+6-4*（2+3）=25+6-4*5=11
to calculate the expected risk premium on a stock, one must subtract the ________ from the stock’s expected return.
Answers
To calculate the expected risk premium on a stock, one must subtract the Inflation rate from the stock’s expected return.
How to complete the blank in the statement?From the question, we have the following parameters that can be used in our computation:
Expected risk premiumStock's expected returnMathematically, the relationship between the expected risk premium and the stock's expected return is represented as follows
Expected risk premium = Stock's expected return - Inflation rate
This means that the Inflation rate must be subtracted from the stock’s expected return to calculate the expected risk premium
Hence, the statement that completes the blank is Inflation rate.
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Suppose you are driving 25 milesihour with a compass reading of 36.9% north of east. Represent the vector using the simulation. How fast is your car traveling in the north direction? How fast in the east direction? Figure out how the components could be calculated using geometry it you couldnt use the simulation. 3. Suppose ycu and a friend are test driving a new car. You drive out of the car doalership and go 10 miles east, and then 8 mies soueh. Then, your friend dives 8 miles west, and 8 mies forth. If you had the dealer's homing pigeon in the car, haw far do you think it would have to fly to get back to the dealership? Use the simulation to tost ideas: simulation to add vector. For question fumber 2. How fast is the car traveling in the North diection? Uke milechour for the unit but only give the number in your answer. QUESTION 2 For quesion number 2. How fast is the cae traveling in the East diection? WSe mileshour for the unt but only give the number in your answer. QuESTION 3 For question number 3: How mary miles would the pisgeon hove to fiy (n a straight ine) to oet back hame? frind your ansuer to the nearest fenth and anly give the number in your answer. QUESTIONA your anwwer to the nedest whole number and only give the nimber in your anwwer. QUESTION 5
Answers
Using the simulation to represent the vector, the car's speed in the north direction is approximately 9.225 miles/hour.
Using the simulation, the car's speed in the east direction is approximately 17.126 miles/hour.
To calculate the components without using the simulation, we can use trigonometry. The compass reading of 36.9% north of east can be converted to an angle. The angle between the vector and the east direction is given by:
Angle = arctan(North component / East component)
Using this angle, we can determine the components of the vector. The north component is given by:
North component = (Speed) * cos(Angle)
The east component is given by:
East component = (Speed) * sin(Angle)
By substituting the values of the speed and angle, we can calculate the north and east components of the vector.
If you drove 10 miles east and then 8 miles south, and your friend drove 8 miles west and then 8 miles north, you would have formed a right triangle with sides of length 10 miles and 8 miles. The distance the homing pigeon would have to fly to get back to the dealership can be calculated using the Pythagorean theorem:
Distance = \(\sqrt((10 miles)^2 + (8 miles)^2)\)
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Write the number of Sigaificant figures for each number below 4) 0.500 5) 500 6) 5.9×10
4
7) 0,40001 8) 1.7×10
3
9) 650 . 10) 4.150×10−4 11) 361.0 12) 0.000620 13) 96 14) 678.02400 15) 30000 2. Perform the operation and report the answer with the correct number of sig figs. 1. (a) (10.26)×(0.01540)= (b) (10.26)+(0.01340)= (c) [(10.26)+(0.01540)]+[(10.26)×(0.0t540)] 2.0.254−1.36+5.4892= 3. 24.80×6.45×300= 4. (2.65×10
−7
)−(1.981×10
2
)= 5. (1022+0.456)(13.2×12.00)= 3. Convert: write yoar answers in scientific notation a) 10,0 cm to mm. b) 10,0 mm to m. c) 0.564 kg to cg d) 152.0 nm to mm. e) 25,0μC to nC f) 85×10
−3
F to mF. 4. Use Micresoft word to type Coulamb's Law belaw
Answers
Significant figures (also known as significant digits) are the digits in a number that carry meaningful information about its precision. The rules for determining significant figures are as follows:
1. Non-zero digits are always significant. For example, the number 345 has three significant figures.
2. Zeros between non-zero digits are significant. For example, the number 506 has three significant figures.
3. Leading zeros (zeros to the left of the first non-zero digit) are not significant. For example, the number 0.0032 has two significant figures.
4. Trailing zeros (zeros to the right of the last non-zero digit) are significant if they are after a decimal point. For example, the number 2.5000 has five significant figures.
5. Trailing zeros that are not after a decimal point are not significant unless they are specified with a decimal point. For example, the number 400 has one significant figure, but if it is written as 400.0, it has four significant figures.
The numbers of Significant Figures:
4) 0.500 - 3 significant figures
5) 500 - 1 significant figure
6) 5.9×10^4 - 2 significant figures
7) 0.40001 - 6 significant figures
8) 1.7×10^3 - 2 significant figures
9) 650 - 2 significant figures
10) 4.150×10^-4 - 4 significant figures
11) 361.0 - 4 significant figures
12) 0.000620 - 3 significant figures
13) 96 - 2 significant figures
14) 678.02400 - 8 significant figures
15) 30000 - 1 significant figure
Operations with Correct Significant Figures:
1. (a) (10.26)×(0.01540) = 0.1582
(b) (10.26) + (0.01340) = 10.3
(c) [(10.26) + (0.01540)] + [(10.26)×(0.01540)] = 10.3
2. 0.254 - 1.36 + 5.4892 = 4.3832 (rounded to four decimal places)
3. 24.80 × 6.45 × 300 = 47,448 (rounded to three significant figures)
4. (2.65×\(10^{-7}\)) - (1.981×\(10^2\)) = -198.1000003 (rounded to eight decimal places)
5. (1022 + 0.456) × (13.2×12.00) = 16,023.072 (rounded to three decimal places)
Conversions:
a) 10.0 cm to mm = 100.0 mm
b) 10.0 mm to m = 0.0100 m
c) 0.564 kg to cg = 56,400.0 cg
d) 152.0 nm to mm = 0.152 mm
e) 25.0 μC to nC = 25,000.0 nC
f) 85×10^-3 F to mF = 0.085 mF
Coulomb's Law:
Coulomb's Law states that the magnitude of the electrostatic force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
Mathematically, Coulomb's Law can be expressed as:
\(\[ F = \frac{{k \cdot q_1 \cdot q_2}}{{r^2}} \]\)
where:
\(\( F \)\) represents the magnitude of the electrostatic force between the charges,\(\( k \)\) is the electrostatic constant \((\( k \approx 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \))\),\(\( q_1 \)\) and \(\( q_2 \)\) are the charges of the particles, and\(\( r \)\) is the distance between the particles.Learn more about significant figures: https://brainly.com/question/29621565
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if you deposit money in a savings account with an interest rate (apr) of 6.2% and the account compounds monthly, which is your annual percentage yield (apy)? convert your answer to a percent and round it to two decimal places.
Answers
The Annual Percentage Yield (APY) for the savings account with an APR of 6.2% and monthly compounding is approximately 6.22%.
To calculate the Annual Percentage Yield (APY) for a savings account that compounds monthly, we can use the following formula:
APY = (1 + r/n)^n - 1
Where:
r is the annual interest rate expressed as a decimal (6.2% = 0.062)
n is the number of times the interest is compounded per year (monthly compounding = 12)
Let's plug in the values and calculate the APY:
APY = (1 + 0.062/12)^12 - 1
APY = (1.0051667)^12 - 1
APY ≈ 0.062161 (rounded to five decimal places)
To convert the APY to a percentage and round it to two decimal places, we multiply the result by 100:
APY ≈ 6.22%
Therefore, the Annual Percentage Yield (APY) for the savings account with an APR of 6.2% and monthly compounding is approximately 6.22%. This indicates the effective annual rate of return you would earn on your savings, taking into account the compounding of interest over the course of a year.
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Find the entropy of a source that emits one of 10 symbols A, B, C, D, E, F, G, H and I in a statistically independent sequence with probabilities 1/2,1/1,1/1/2,1/2,1/1,1/1/2 and 1/2 respectively
Answers
The entropy of the source that emits the given symbols with their respective probabilities is approximately 1.859 bits.
To find the entropy of a source that emits symbols with given probabilities, we can use the formula for entropy:
H(X) = -Σ P(x) log2 P(x)
where H(X) represents the entropy of the source, P(x) represents the probability of symbol x, and the sum is taken over all symbols emitted by the source.
Given the probabilities for symbols A, B, C, D, E, F, G, H, and I as 1/2, 1/1, 1/1/2, 1/2, 1/1, 1/1/2, and 1/2 respectively, we can calculate the entropy as follows:
H(X) = -(1/2) log2(1/2) - (1/1) log2(1/1) - (1/1/2) log2(1/1/2) - (1/2) log2(1/2) - (1/1) log2(1/1) - (1/1/2) log2(1/1/2) - (1/2) log2(1/2)
Simplifying the expression:
H(X) = - (1/2) log2(1/2) - 1 log2(1) - (2/3) log2(2/3) - (1/2) log2(1/2) - 1 log2(1) - (2/3) log2(2/3) - (1/2) log2(1/2)
H(X) = - (1/2) (-1) - (2/3) (-log2(2/3)) - (1/2) (-1) - (2/3) (-log2(2/3))
H(X) = 1/2 + (2/3) log2(2/3) + 1/2 + (2/3) log2(2/3)
H(X) ≈ 1.859
Therefore, the entropy of the source that emits the given symbols with their respective probabilities is approximately 1.859 bits.
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Mr. DiCicco monitored the growth of his zucchini. The zucchini originally weighed 27 ounces. The zucchini grew at a rate of 5 ounces per week. The equation below can be used to describe the weight, in ounces, of the zucchini.
72 = 27 + 5x
Mr. DiCicco correctly determined that x = 9. What does the solution of the equation mean?
A. The zucchini grew at a rate of 9 ounces per week for 72 weeks.
B. The zucchini grew at a rate of 72 ounces per week for 9 weeks.
C. It took 9 weeks for the zucchini to grow to a weight of 72 ounces.
D. It took 72 weeks for the zucchini to grow to a weight of 9 ounces.
Answers
answer is C
common sense i guess...
Explain how the vertical line test proves that a relation is not a function.
Choose the correct answer below.
O A. A vertical line at a specific x-value of the domain will intersect the graph of a relation at each y-value in the range that
the x-value is mapped to by the relation. The vertical line will intersect the graph more than once if the graph of the
relation is not a straight line. If the graph is a straight line, then the relation is a function; otherwise, it is not a function.
B. A vertical line at a specific x-value of the domain will intersect the graph of a relation at each y-value in the range that
the x-value is mapped to by the relation. If even one such line has more than one intersection, then one input has two
or more outputs and the relation is not a function.
O c. A vertical line at a specific y-value of the range will intersect the graph of a relation at each x-value in the domain that
the relation maps to that y-value. If even one such line has more than one intersection, then one output has two or
more inputs that map to it and the relation is not a function.
D. A vertical line at a specific y-value of the range will intersect the graph of a relation at each x-value in the domain that
the relation maps to that y-value. The vertical line will intersect the graph more than once if the graph is not a straight
line. If the graph is a straight line, then the relation is a function; otherwise, it is not a function.
Plz help:)
Answers
Graph the equation.
y=2|x-2| +3
Answers
The graph of the absolute value equation y = 2 | x - 2 | + 3 is attached
How to plot the graphA graph is pictorial representation of dat the dat is represented in Cartesian coordinate as follows
Locating the input in the graphlocating the corresponding output making a point where the two points intersectrepeating step 1 to 3 to complete the valuesJoining the pointsThe given equation is y = 2 | x - 2 | + 3
The input values (x values) are chosen from -2, 0, 2. substituting the x values into the equation gives the y values as follow
for x = - 2
y = 2 |-2 - 2 | + 3
= 2 | -4| + 3
=-8 + 3 OR 8 + 3
= 5 OR 11
for x = 0
y = 2 |0 - 2 | + 3
= 2 | -2| + 3
=- 4 + 3 OR 4 + 3
= -1 OR 7
for x = 2
y = 2 |2 - 2 | + 3
= 2 | 0 | + 3
=- 3
absolute values yield double output values hence the graph is two straight lines
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Which property of multiplication is shown below?
If x = a + bi and y = c + di, x × y = y × x.
Answers
The commutative property of multiplication is as shown x × y = y × x .
The given values of x and y are:
x = a + bi and y = c + di
By the commutative property which states that it is a binary operation in which ab=ba whenever you change the order of the operands.
Therefore,
x = a + bi and y = c + di
Now, x × y = (a + bi) × (c + di)
= ac + adi + bci + bdi²
= ac - bd + i(ad + bc)
Now, y × x = (c+ di) × (a + bi)
= ac + bci + adi + bdi²
= ac - bd + i(ad + bc)
Therefore, x × y = y × x
and when ab = ba then the property is known as commutative property.
Hence commutative property of multiplication is as shown above.
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10. (01.03 lc) when constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle? (1 point) connect every other intersection of an arc and the circle with a segment. connect the intersections of the diameters and the circle with a segment. connect every intersection of an arc and the circle with a segment. connect the midpoint of the radius to the endpoint of the diameter.
Answers
The correct option is C. Connect every intersection of an arc and the circle with a segment.
When constructing an inscribed regular hexagon, the steps come after six arcs are created on the circle is connect every intersection of an arc and the circle with a segment.
What is regular hexagon?A hexagon is a two-dimensional geometric shapes shape with six sides that have the same or different length dimensions. A hexagonal flooring, pencil cross-section, honeycomb, and other real time of the hexagon shape include.
Some key features related to regular hexagon are-
A regular hexagon is a closed 2D shape with six equal sides as well as six equal angles. Each regular hexagon angle measures 120 degrees. The total of all interior angles is 120 × 6 = 720 degrees.Both have six sides, six interior angles, and six vertices.All six interior angles add up to 720 degrees.All six exterior angles add up to 360 degrees.To know more about the regular hexagon, here
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It is the location of the center of an equal distance point traced from the center. A circle's radius is the distance among its center and its circumference.
When building an engraved regular hexagon.
Following the creation of six arcs on the circle, the following steps will be taken.
A segment should be connected to every intersection of an arc and a circle.
The correct question is -
When constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle?
A. Connect every other intersection of an arc and the circle with a segment. B. Connect the intersections of the diameters and the circle with a segment.
C. Connect every intersection of an arc and the circle with a segment.
D. Connect the midpoint of the radius to the endpoint of the diameter.
Answer: (C) Connect every intersection of an arc and the circle with a segment.
Step-by-step explanation: butter
The gold trophy has 27 racers, she will 12 racers on the racetrack that runs.
How many racers did she have runs?
Answers
She will have run a total of 2.25 racers in 27 racers
How to determine the number of racers?From the question, we have the following parameters that can be used in our solution:
Total number of racers = 27 racers
Number of racers in a run = 12 racers
From the above parameter, we can calculate the total number of racers using the following equation
The total number of racers is calculated as
Total number of racers in the run = Total number of racers/Number of racers in a run
Substitute the known values in the above equation
So, we have the following equation
Total number of racers in the run = 27/12
Evaluate the quotient
Total number of racers in the run = 2.25
Hence, the total number of racers in the run is 2.25 racers
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Match the behavior if the graph of a function with the slope of its graph
Answers
Answer:
A
Step-by-step explanation:
Kate is a buyer for a men’s fashion retail store. She will order a new cloth overcoat from Paris for the fall fashion season. Based on her experience, she expects to sell at least 100 coats, and at most 400, but she feels that any number of sales in between is equally likely. Therefore, she estimates that her sales are uniformly distributed between 100 and 400. The total cost to the store is $100 per coat, and the retail price is set at $180. Any coats left over at the end of season would be sold at $60 each.
part 1: a) How many coats should Kate buy if she wants to maximize profits?
part 2: b) Assume Kate buys the number of coats suggested in part a), what is the probability that the coats sell out? What is the probability that they do not sell out?
Answers
Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).
To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.
Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.
Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.
The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.
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Which graph represents a linear function?
Answers
Answer:
If it is not a straight it is not considered a linear function. The image does not show all of the graphs, but it is not a linear function.
The help is needed for these times
Answers
Answer:
This be soooo hard ;w;
Step-by-step explanation:
.w.
according to the u.s. labor department, the average hourly wage for private-sector production andn nonsupervisory workers as $22.34 in january 2018. assume that the standard deviation for this population is $6 per hour. a random sample of 35 workers from this group was selected. what is the probability that the mean for this sample is less than $21.50?
Answers
The probability that the mean for this sample is less than $21.50 is approximately 0.2033.
To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means from a population with a known mean and standard deviation is approximately normal, as the sample size gets larger. In this case, we are given the population mean and standard deviation, so we can assume that the sample means are normally distributed.
The formula for the standard error of the mean is
SE = σ/√n
where σ is the population standard deviation, n is the sample size, and SE is the standard error of the mean.
Plugging in the given values, we get
SE = 6/√35 ≈ 1.013
Next, we need to standardize the sample mean using the z-score formula
z = (X - μ) / SE
where X is the sample mean, μ is the population mean, and SE is the standard error of the mean.
Plugging in the given values, we get
z = (21.5 - 22.34) / 1.013 ≈ -0.829
Now, we need to find the probability that a standard normal variable is less than -0.829. Using a standard normal distribution table or calculator, we find that this probability is approximately 0.2033
Learn more about central limit theorem here
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Draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure ({N}, {T}, {M})
Answers
A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.
To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:
Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.
Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.
Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.
The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.
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Elizabeth records the number of points her favorite basketball team scores in each game. She predicts that the team will score about 120 points in its next game is Elizabeth's prediction reasonable?
pls help it due tomorrow
Answers
Answer:
Based on the data that Elizabeth has gathered about her favorite basketball team's previous game scores, it's difficult to say whether her prediction of 120 points in the next game is reasonable. However, if the team has been consistently scoring around that range in the past few games, then it's possible that Elizabeth's prediction could be accurate. However, it's always important to keep in mind that any prediction or estimate is subject to unexpected changes, so it's always best to take them with a grain of salt.Step-by-step explanation:
yeah