Answer:
c
Step-by-step explanation:
Answer: median
I say this as the mean would be too off due to the one outlier (it's best used when there are multiple outliers), and the range wouldn't make sense as a mid-measurement.
A student investigating study habits asks a simple random sample of 16 student at her school how many minutes they spent on their English homework the previous night. Suppose the actual parameter values for this variable are mu = 45 minutes and sigma = 15 minutes. Which of the following best describes what we know about the sampling distribution of means for the student's sample? O mu x = 45; sigma x unknown; shape of distribution unknown O mu x = 45; sigma x = 15; distribution approximately Normal O mu x = 45; sigma x = 15; shape of distribution unknown O mu x = 45; sigma x = 3.75; distribution approximately Normal O mu x = 45; sigma x = 3.75; shape of distribution unknown
The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.
What is Sampling Distribution?Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.
Given that,
μ = 45 minutes and σ = 15 minutes
Sampling distribution of means for the student's sample is :
μₓ = μ = 45
σₓ = σ / √n, where n is the sample size.
σₓ = 15 / √(16) = 15 / 4 = 3.75
Now since the sample size 16 which is less than 30, shape of the distribution is unknown.
Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.
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write an equivalent expression by applying the distributive property (x-5)^2
Answer:
x^2 - 10x + 25
Step-by-step explanation:
Hope it helps.
The binomial y2 - 49 has y - 7 as one of its factors.
What is the other factor of the binomial?
Helpppp
Step-by-step explanation:
If you use long division to divide y² - 49 by y - 7, you get the other factor y + 7
y + 7
____________
y - 7 ║ y² - 0 y - 49
- (y² - 7y) ↓
______________
+ 7y - 49
- (7y - 49)
___________
⇒ y² - 49 = (y - 7) (y + 7)
Review the simple interest rate trased off PICO Scores to answer the questions
FICO Score Simple Interest Rate
800-850 4.295%
740-799 5.597%
670-739 8.132%
580-669 9.358%
300-579
A homeowner, with a credit score of 725, is planning a home improvement project and needs to borrow $3,500.00 with a simple interest rate loan. Determine the
interest rate the homeowner will qualify for if they raise their credit score 40 points.
4.295%
O5.597%
08.132%
12.413%
09.358%
The interest rate in which the homeowner will qualify for if they raise their credit score to 40 points is 5.597%. The Option B is correct.
What does our credit score mean?A credit score ranges from 300 to 850 and represents a consumer's creditworthiness. Credit scoring factors include repayment history, loan types, length of credit history, and an individual's total debt.
According to the given table, a credit score of 725 falls under the range of 670-739, which corresponds to a simple interest rate of 8.132%. If the homeowner raises their credit score by 40 points, their new score would be 765, which falls under the range of 740-799 in the table. This corresponds to a lower simple interest rate of 5.597%.
Therefore, if the homeowner raises their credit score by 40 points, they could qualify for a simple interest rate of 5.597% for their $3,500.00 loan.
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do anybody know the answer to dis
53.9 - 5.07
Answer:
48.83
Step-by-step explanation
A football team has a net yardage of −22 1 /3 yards on a series of plays. The team needs a net yardage of 10 yards to get a first down. How many yards does the team have to get on the next play to get a first down? Enter your answer as a mixed number.
Answer: 36(1/3) yards. If thats an option not 100% sure tho.
Step-by-step explanation:
Mark me brainliest.
A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish.
Answer:
The tanks by volume per fish from least to greatest:
Tank C, Tank A, Tank B
Step-by-step explanation:
A pet store has three fish tanks, each holding a different volume of water and a different number of fish.
Order the tanks by volume per fish from least to greatest.
Tank A holds 40 L and 5 fish.
= 40L/5 fishes
= 8 volume per fish
Tank B holds 100 L and 12 fish
= 100L/12 fishes
= 8.3333333333 volume per fish
Tank C holds 180 L and 23 fish.
= 180L /23 fish
= 7.8260869565 volume per fish
The tanks by volume per fish from least to greatest
Tank C, Tank A, Tank B
in a bag, there are 4 red shapes, 5 blue shapes, and 3 yellow shapes. there is one triangle, one square, and one circle in each group. there is 1 red and blue rectangle, and 1 blue hexagon. what is the probability of selecting a shape that is blue or a triangle?
Help please 10 points. Picture has question
Answer:
16 i believe
Step-by-step explanation:
Shana lives in a town with a population of 130,000. standing outside the largest grocery store, shana surveyed people to find out how many have cats. of the people she asked, 106 people had cats and 694 did not. how many cat owners are predicted to live in the town? a. there should be 694 cat owners in town. b. there should be 1,226 cat owners in town. c. there should be 17,225 cat owners in town. d. there should be 19,855 cat owners in town.
There are 17225 cat owner are predicted to live in the town.
To estimate the number of cat owners in the town, we can use a proportion. It is known that out of the people Shana surveyed, 106 had cats and 694 did not, can set up the following proportion:
Given :
Total population = 130000
On survey,
Number of people had cats = 106
Number of people had not cats = 694
Total = 106+694=800
So, Probability of cat owners would be 106/800
So, the number of cat owners are predicted to live in the town would be
= (106/800)*130000 =17225
Hence, there are 17225 cat owner are predicted to live in the town.
Hence option c is correct.
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twenty-one percent of all light emitting diode (led) displays are manufactured by samsung. what is the probability that in a collection of two independent led hdtv purchases, at least one is a samsung? (round your answer to 3 decimal places.)
The probability of at least one is a Samsung in the purchase collection of two independent LED HDTV is equal to 0.376.
Percent of all LED display manufactured by Samsung = 21%
Probability that at least one purchase is Samsung
= 1 - Probability that both purchases are not Samsung
Probability that the first purchase is not Samsung is 1 - 0.21 = 0.79.
The probability that the second purchase is also not Samsung is also 0.79.
Since the purchases are independent,
Multiply these probabilities to get the probability that both purchases are not Samsung,
P(neither is Samsung)
= 0.79 x 0.79
= 0.6241
The probability that at least one purchase is Samsung is,
P(at least one is Samsung)
= 1 - P(neither is Samsung)
= 1 - 0.6241
= 0.3759
Rounding to 3 decimal places, we get,
P(at least one is Samsung) = 0.376
Therefore, the probability that in a collection of two independent LED HDTV purchases, at least one is a Samsung is 0.376.
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Lin's smart phone was fully charged when she started school at 8:00 a. M. At 9:20 a. M. , it was 90%
charged, and at noon, it was 72% charged.
1. When do you think her battery will die?
2. Is battery life a function of time? If yes, is it a linear function? Explain your reasoning.
1. It's impossible to determine exactly when Lin's battery will die without more information on her phone's battery capacity and usage patterns. However, we can estimate that it will likely die sometime after noon if the rate of battery drain remains constant.
2. Yes, battery life is a function of time. The longer a battery is in use, the more its charge will deplete. However, it is not necessarily a linear function as the rate of battery drain can vary depending on factors such as usage patterns, app activity, and temperature. In this specific case, it appears that the rate of battery drain may be slowing down as the percentage decrease from 90% to noon is less than the decrease from fully charged to 90%.
In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one. For distinguishing such a linear function from the other concept, the term affine function is often used. A linear function from the real numbers to the real numbers is a function whose graph (in Cartesian coordinates) is a non-vertical line in the plane. The characteristic property of linear functions is that when the input variable is changed, the change in the output is proportional to the change in the input.
Linear functions are related to linear equations.
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Robert is running a race to raise money for cancer research. He raised $5 for the first mile
he runs, $6 for the second mile, and $7.20 for the third mile.
If this pattern continues, what is the total amount of money he will raise if his race is
26 miles total?
The pattern tells that the amount raised by Robert in 26th mile is $90.
What is a pattern?
A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern.
The amount of money raised by Robert for first mile = $5
The amount of money raised by Robert for second mile = $6
The amount of money raised by Robert for third mile = $7.2
The difference between amount raised in first and second mile = $1
The difference between amount raised in second and third mile = $1.2
Similarly, the difference between amount raised in third and fourth mile will be = $1.4
Similarly, the difference between amount raised in fourth and fifth mile will be = $1.8
Following this pattern the difference between 25th and 26th mile will be = (26 × 0.2) + 0.4 = $5.8
Now, the amount raised in 26th mile = 84.2 + 5.8 = 90
Therefore, the amount raised is $90.
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Jaidee and Beth each improved their yards by planting rose bushes and ivy. They bought their supplies from the same store. Jaidee spent $140 on 2 rose bushes and 12 pots of ivy. Beth spent $120 on 6 rose bushes and 6 pots of ivy. What is the cost of one rose bush and the cost of one pot of ivy?
The cost of one rose bush is $10 and the cost of one pot of ivy is $10.
Let's assume the cost of one rose bush is represented by "R" and the cost of one pot of ivy is represented by "I".
According to the given information:
Jaidee spent $140 on 2 rose bushes and 12 pots of ivy:
2R + 12I = 140 ...(1)
Beth spent $120 on 6 rose bushes and 6 pots of ivy:
6R + 6I = 120 ...(2)
We now have a system of two equations with two variables. To solve this system, we can use either substitution or elimination method. Let's use the elimination method.
Multiply equation (1) by 3 and equation (2) by 2 to make the coefficients of "R" in both equations equal:
6R + 36I = 420 ...(3)
12R + 12I = 240 ...(4)
Now, subtract equation (4) from equation (3):
(6R + 36I) - (12R + 12I) = 420 - 240
-6R + 24I = 180 ...(5)
Now we have a new equation (5) that relates "R" and "I".
Let's solve equations (5) and (2) together:
-6R + 24I = 180 ...(5)
6R + 6I = 120 ...(2)
Add equation (5) and equation (2):
(6R - 6R) + (24I + 6I) = 180 + 120
30I = 300
Divide both sides of the equation by 30:
I = 10
Now substitute the value of "I" into equation (2) to find the value of "R":
6R + 6(10) = 120
6R + 60 = 120
6R = 120 - 60
6R = 60
Divide both sides of the equation by 6:
R = 10
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Most Algebra 1 Formulas for needed for CST
The below would be most important Algebra 1 Formulas for CST.
Linear Equation:
\(Ax + By + C = 0\)
Equation of Straight Line or Slope:
\(y = mx+b\)
Point-slope form:
\(y-y_{1} = m(x-x_1)\)
Slope when 2 points are given:
\(m = \frac{(y_2 - y_1)}{(x_2-x_1)}\)
Quadratic Equation:
\(Ax^2 + Bx +C = 0\)
When lines are parallel:
Slope of both lines are equal. \(m_1 = m_2\)
When lines are perpendicular:
Slope of perpendicular lines are opposite reciprocals, meaning if the slope of a line \(l_1\) is \(\frac{1}{2}\). The line \(l_2\) perpendicular to \(l_1\) is \(-\frac{2}{1}\).
Work Formula:
Total Work Done = Number of Days \(\times\) Efficiency
where Efficiency is inversely proportional to Time Taken.
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In △ABC, ∠ABC = 60○
P is a point inside △ABC such that ∠APB = ∠BPC = ∠CPA, PA = 8, and PC = 6. Find PB.
A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.
A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is \(180^{o}\).
In the given question, point P is such that <APB = <APC = <BPC = \(120^{o}\). Also, line PB bisects <ABC into two equal measures. Thus;
<ABP = \(30^{o}\)
Thus,
<ABP + <APB + <BAP = \(180^{o}\)
30 + 120 + <BAP = \(180^{o}\)
<BAP = \(180^{o}\) - 150
<BAP = \(30^{o}\)
Apply the Sine rule to determine the value of PB, such that;
\(\frac{AP}{Sin B}\) = \(\frac{BP}{Sin30}\)
\(\frac{8}{Sin30}\) = \(\frac{BP}{Sin 30}\)
BP = \(\frac{8*Sin30}{Sin 30}\)
= \(\frac{4}{0.5}\)
BP = 8.0
Therefore, the value of BP = 8 units.
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x=3 how would I graph it
ANSWER:
STEP-BY-STEP EXPLANATION:
When x is equal to a constant, the graph will be a straight line parallel to the y axis, the straight line is located at the value of the constant, like this:
A student must have a score of at least 81 to receive a B on an exam. Which of the following correctly compares the numbers of students who scored a B or higher on the exams?
A. The same number of students scored a B or higher on the two exams.
B. One more student scored a B or higher on the second exam than on the first exam.
C. Two more students scored a B or higher on the first exam than on the second exam.
D. Two more students scored a B or higher on the second exam than on the first exam.
Answer:
D
Step-by-step explanation:
if you add up the people who got a b or higher on the first exam, you would get 9 people. If you add up the people who got a b or higher on the second exam, you would get 11 people. 11 - 9 = 2.
zero of the function f(x)=3x/x2-9
Answer:
It should equal zero or seven. I think is zero
LOOK AT THE PICTURE
PLEASE PLEASE HELP ASAP THIS TEST IS IMPORTANT I WILL MARK BRAINLIEST AND GIVE 20 POINTS OR MORE LOOK AT THE PICTURE
Maria is trying to estimate 30. She uses this table of values:
What should she do next to find 30 to the nearest hundredth?
A. She should find the squares of numbers between 5.5 and 5.6.
B. She should estimate that 30 is 5.50.
C. She should find the squares of numbers between 5.4 and 5.5.
D. She should find the average of 5.4 and 5.5.
Answer:
A im pretty sure :)
Step-by-step explanation:
-10 = y -12 If you can help please hurry!!!!
Answer:
y=2
Step-by-step explanation:
probably
Answer:
y = -2
Step-by-step explanation:
-10 = y - 12
For the correct form, we have to get y by itself.
So, to get rid of ten, we'll add it to both sides.
-10 = y - 12
+10 +10
y = 10 - 12
Now, we'll simplify the answer.
y = -2
what is 100 in scientific notation
Answer:
1*10^2
Step-by-step explanation:
Answer:
The answer would be 1x10^2 since you move the decimal place to the left two times.
Step-by-step explanation:
Find the perimeter and area of the regular polygon with the given consecutive vertices. Round to the nearest tenth, if necessary.
hexagon A B C D E F ; A(-4,2), B(0,5)
The perimeter of the hexagon is approximately 16.4 units, and the area is approximately 23.8 square units.
To find the perimeter of a regular polygon, we need to calculate the sum of the lengths of all its sides. In this case, the given consecutive vertices of the hexagon are A(-4,2), B(0,5), C(?), D(?), E(?), and F(?). The missing vertices can be determined by evenly dividing the 360-degree angle around the center of the polygon.
Using the given coordinates, we can calculate the lengths of the sides AB, BC, CD, DE, EF, and FA. The distance formula can be used to find the length between two points.Once we have the lengths of all sides, we add them up to find the perimeter of the hexagon.To find the area of a regular polygon, we can use the formula: Area = (1/2) * apothem * perimeter, where the apothem is the distance from the center of the polygon to the midpoint of any side.
With the perimeter and apothem, we can calculate the area of the hexagon.After performing the calculations, the perimeter of the hexagon is approximately 16.4 units, and the area is approximately 23.8 square units.
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What is the solution to the equation StartFraction y Over y minus 4 EndFraction minus StartFraction 4 Over y + 4 EndFraction = StartFraction 32 Over y
The solutions to the equation y/ (y- 4) - 4/ (y + 4) = 32/ y are approximately 30.948, 4.627 and -3.575.
The given equation is y/ (y- 4) - 4/ (y + 4) = 32/ y
Let us simplify the left hand side (LHS) :
Make the denominator same to (y - 4)(y + 4)
y/ (y- 4) - 4/ (y + 4) = (y/ (y- 4))×((y + 4)/(y + 4)) - (4/ (y + 4))×((y - 4)/(y - 4))
y/ (y- 4) - 4/ (y + 4) = ( y(y + 4) - 4(y - 4))/ (y - 4)(y + 4)
y/ (y- 4) - 4/ (y + 4) = (y² + 4y - 4y + 16)/ (y² - 16)
y/ (y- 4) - 4/ (y + 4) = (y² + 16)/ (y² - 16)
Now plugging this simplified version in LHS
(y² + 16)/ (y² - 16) = 32/ y
y(y² + 16) = 32(y² - 16)
y³ - 32y² + 16y + 32×16 = 0
The solutions are approximately 30.948, 4.627 and -3.575.
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Consider the dictionary below: student ={ "name": "Em "class": 9, "marks": 75 "name": "Emma", Select all the correct methods to obtain the value(s) of the key marks from the dictionary m= student.get(2) m= student.get(’marks’) m=( student [2])
m=( student[’marks’])
none of the above A and C B and D
Method 4: Here, the square bracket notation is used with the key marks, which is enclosed within quotes. As the key marks is not enclosed within quotes in the dictionary, this method is incorrect.
Hence, the method is incorrect.
The correct methods to obtain the value(s) of the key marks from the given dictionary are as follows:a. `m= student.get('marks')`b. `m= student['marks']`.
Method 1: Here, we use the get() method to obtain the value(s) of the key marks from the dictionary. This method returns the value of the specified key if present, else it returns none. Hence, the correct method is `m= student.get('marks')`.
Method 2: Here, we access the value of the key marks from the dictionary using the square bracket notation. This method is used to directly get the value of the given key.
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Please show ur work or tell me how to find the answer without using the calculator
The correct statement regarding the quantities in this problem is given as follows:
C. The two quantities are equal.
How to compare the quantities?The first quantity in this problem is given as follows:
\(\frac{2^{30} - 2^{29}}{2}\)
We can apply the common factor in the numerator, hence:
\(\frac{2^{29}(2 - 1)}{2} = \frac{2^{29}}{2}\)
When two terms have the same base and different exponents and are divided, we keep the base and subtract the exponents, hence:
\(\frac{2^{29}}{2} = 2^{29 - 1} = 2^{28}\)
Meaning that the two quantities are equal, hence option c is the correct option for this problem.
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What is the equation of the line that passes through the point (-8,−7) and has a slope of 11?
Answer:
-7=11*-8+b
-7=-88+b
+88 both sides
81=b
y=11x+81
Which number is a rational number?
Answer:
C
Step-by-step explanation:
17.156 is the irrational number as it is terminating(means it ends)
Rest all are irrational
your puppy dug up two thirds
Answer: your puppy dug up two thirds of the yard.
Step-by-step explanation:
Lisa is making triangles patterns each triangle is three toothpicks. If I had 81 toothpicks, what pattern number could you make? I need Help can you please help me? This problem is worth 11 points.
Answer:
27
Step-by-step explanation:
divide 81 by 3 :p
Answer:
Step-by-step explanation:
81nBdivided by 3 is 28