The length of arc AB using the measure circle are 5) 6.28 feet and 6) 18.84 feet.
How to find length?To find the length of arc AB with a measure of 80°, use the formula:
length of arc AB = (measure of arc AB / 360°) x circumference of circle
The diameter of the circle is given as 9 feet, so the radius is 4.5 feet. The circumference of the circle is:
circumference = 2 x π x radius
circumference = 2 x 3.14 x 4.5
circumference = 28.26 feet
Using the formula:
length of arc AB = (80° / 360°) x 28.26
length of arc AB = 0.2222 x 28.26
length of arc AB = 6.28 feet
Rounding to the nearest hundredth:
length of arc AB ≈ 6.28 feet
To find the length of arc AB with a measure of 240°, use the same formula as above:
length of arc AB = (measure of arc AB / 360°) x circumference of circle
Using the same values for the diameter and radius of the circle:
length of arc AB = (240° / 360°) x 28.26
length of arc AB = 0.6667 x 28.26
length of arc AB = 18.84 feet
Rounding to the nearest hundredth:
length of arc AB ≈ 18.84 feet
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seven less than the product of a number z and 3 is equal to 4
Equation: z-7+3=4
z-7+3=4
z=4+7-3
z=11-3
z=8
In thi coordinate plane, the ditance between each gridline repreent 1 mile. What i the ditance, in mile, between the library and the chool? You can ue the coordinate plane to help you find the anwer by plotting the two point
The distance between the library and the school using the coordinates plane is 7.28 miles.
A coordinate plane is a two-dimensional plane which is formed by the intersection of two number lines - a horizontal number line called the x-axis and is a vertical number line called the y-axis. It is a graphing and description system for points and lines. On the provided coordinate plane, the coordinate of the library is (-3,3) and the coordinate of the school is (4, 1).
The distance formula between two coordinates is given by:
d =√((x2 – x1)^2 + (y2 - y1)^2)
Using the distance formula, the distance between the library and the school are:
d =√((-3 – 4)^2 + (3 - 1)^2)
d =√((-7)^2 + (2)^2)
d =√((-7)^2 + (2)^2)
d =√(49 + 4)
d =√53
d = 7.28 miles
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pls help!!
A line is parallel to y = -3x + 2 and intersects the point (4,3). What is the equation of this parallel line?
y = [?]x + [ ]
Step-by-step explanation:
Parallel lines have the same slope so they can therefore never touch. Just change the y-int. (Any number as long as it's not the same as the previous)
I.E.:
y = -3x - 12
If there are 3 apples for every 4 oranges, how many apples would you have if you had 20 oranges?
Answer:
6 Apples
Step-by-step explanation:
There would be six apples and 2 oranges left over.
Hope this Helps!
:D
Answer:
I was kind of confused on this one but is it 15 apples?
Step-by-step explanation:
3, 6, 9, 12, 15
4, 8, 12, 16, 20
I think the answer is 15 apples.
what is negative 81 plus 97
Answer:
16
Step-by-step explanation:
1. Medical: Blood Protoplasm Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy adults, x is approximately normally distributed with mean p=38 and standard deviation 6-12 (see reference in Problem 25). What is the probability that: (a). x is less than 60? (that is, P(x < 60); (b). x is greater than 16? (that is, P(x > 16) (c). x is between 16 and 60? that is, P (16 < x <60); (d). x is more than 60? (that is, P(x > 60)} (This may indicate an infection, anemia, or another type of illness.) 2. Basic Computation: Find z Values in the following problems find the z value described and sketch the area described. (To be done in class on Thursday, May 12,2022) a. Find z such that 8% of the standard normal curve lies to the left of z b. Find z such that 9.4% of the standard normal curve lies to the left of 2 c. Find z such that 97.5% of the standard normal curve lies to the left of t. d. Find z such that 6% of the standard normal curve lies to the right of z. c. Find z such that 72% of the standard normal curve lies to the right of z. f. Find the z value such that 90% of the standard normal curve lies between -z and Z.
1.a. P(x < 60) = P(z < z-score) = P(z < calculated value) b) P(x > 16) = P(z > z-score) = P(z > calculated value) c) P(16 < x < 60) = P(x < 60) - P(x < 16) d) P(x > 60) = 1 - P(x < 60) 2a) we need to find the z-score that corresponds to the cumulative probability of 0.08.
How to find the z Values1. Medical: Blood Protoplasm Porphyrin
(a) To find P(x < 60), we need to calculate the probability that the random variable x is less than 60. Since x is approximately normally distributed with a mean of 38 and standard deviation of 6-12, we can use the normal distribution to find this probability.
We can standardize the value 60 using the formula z = (x - μ) / σ, where μ is the mean and σ is the standard deviation.
Standardizing 60:
z = (60 - 38) / 6-12
Next, we can use a standard normal distribution table or a calculator to find the corresponding probability associated with the z-score. Let's assume the probability is P.
Therefore, P(x < 60) = P(z < z-score) = P(z < calculated value)
(b) To find P(x > 16), we need to calculate the probability that the random variable x is greater than 16. Similarly, we can standardize the value 16 and find the corresponding probability P.
P(x > 16) = P(z > z-score) = P(z > calculated value)
(c) To find P(16 < x < 60), we need to calculate the probability that the random variable x falls between 16 and 60. We can calculate this probability by finding the difference between P(x < 60) and P(x < 16).
P(16 < x < 60) = P(x < 60) - P(x < 16)
(d) To find P(x > 60), we need to calculate the probability that the random variable x is more than 60.
P(x > 60) = 1 - P(x < 60)
2. Basic Computation: Find z Values
(a) To find z such that 8% of the standard normal curve lies to the left of z, we need to find the z-score that corresponds to the cumulative probability of 0.08.
(b) To find z such that 9.4% of the standard normal curve lies to the left of 2, we need to find the z-score that corresponds to the cumulative probability of 0.094.
(c) To find z such that 97.5% of the standard normal curve lies to the left of z, we need to find the z-score that corresponds to the cumulative probability of 0.975.
(d) To find z such that 6% of the standard normal curve lies to the right of z, we need to find the z-score that corresponds to the cumulative probability of 0.06 (subtracting it from 1).
(e) To find z such that 72% of the standard normal curve lies to the right of z, we need to find the z-score that corresponds to the cumulative probability of 0.72 (subtracting it from 1).
(f) To find the z value such that 90% of the standard normal curve lies between -z and z, we need to find the z-score that corresponds to the cumulative probability of 0.95 (dividing 90% by 2 and adding it to 0.5 to find the area on each side).
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The graph below models the value of a $20,000 car t years after it was purchased. Value of Car A graph titled Value of Car has years on the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000). Which statement best describes why the value of the c
Answer:
Each time, t, is associated with exactly one car value, y.
Step-by-step explanation:
The concept being tested is functions.
The graph describe is a vertical parabola that opens downwards.
All vertical parabolas are functions because the pass the vertical line test.
In other words, each time, t, is associated with exactly one car value, y.
The correct answer is the second option.
Now consider the so-called random walk with absorbing barriers on 1 = {0, 1, 2, 3, 4}. This is also a Markov chain on N = {0,1,2,3,4} with the following transition probability matrix ſi 0 0 0 0] 0 0 0 P= 0 0 0 0 0 0 (a) Draw a graphical diagram that shows how this chain moves. (b) Is this chain irreducible? Why or why not? (c) Find E(X5 | X3 = 1, Xo = 2). (d) Find a row vector such that a has every coordinate nonnegative and the sum of coordinates is one and TP = 7. Is a unique?
(a) 0 --► 0 (absorbing)
| |
▼ ▼
1 --► 2 --► 3 --► 4 (absorbing)
(b) This chain is not irreducible.
(c) \(E(X_5 | X_3 = 1, X_0 = 2) = E(X_5 | X_2 = 2) = 9\).
(d) a = [1, 1, 7, 49, 343] satisfies all the conditions, and it is unique up to scaling by a constant factor.
How to graphical diagram that shows chain moves?(a) The graphical diagram for the random walk with absorbing barriers on {0, 1, 2, 3, 4} is as follows:
0 --► 0 (absorbing)
| |
▼ ▼
1 --► 2 --► 3 --► 4 (absorbing)
The arrows represent the possible transitions between the states of the Markov chain, with the absorbing states shown in parentheses.
Why this chain is not irreducible?(b) This chain is not irreducible because there is no way to transition from states 0 or 4 to any other state.
How to find the value of \(E(X_5 | X_3 = 1, X_0 = 2)\)?(c) To find \(E(X_5 | X_3 = 1, X_0 = 2),\) we first note that \(X_3\)= 1 and \(X_0\)= 2 imply that the chain is currently in state 2. Therefore, we can condition on \(X_2\) = 2 and use the Markov property to compute the conditional expected value:
\(E(X_5 | X_3 = 1, X_0 = 2),\) \(= E(X_5 | X_2 = 2)\)
To compute this, we can use the law of total probability and conditioning on the next transition:
\(E(X_5 | X_2 = 2) = \sum j P(X_3 = j | X_2 = 2) E(X_5 | X_3 = j, X_2 = 2)\)
Since the chain is absorbing, we have E(X5 | X3 = j, X2 = 2) = 5 if j = 4, and \(E(X_5 | X_3 = j, X_2 = 2) = 1 + E(X_5)\) if j ≠ 4. Therefore, we have:
\(E(X_5 | X_2 = 2) = P(X_3 = 4 | X_2 = 2) * 5 + \sum j≠4 P(X_3 = j | X_2 = 2) * (1 + E(X_5))\)
To compute the probabilities, we can use the transition probability matrix:
\(P(X_3 = 4 | X_2\) = 2) = P(4 | 2) = 1
\(P(X_3 = j | X_2\)= 2) = P(j | 2) = 0 for j ≠ 1, 3
Therefore, we have:
\(E(X_5 | X_2\)= 2) = 5 + 0.5 * (1 + E(\(X_5\)))
Solving for E(\(X_5\)), we get:
E(\(X_5\)) = 9
Therefore, E(\(X_5\) | \(X_3\) = 1, \(X_0\) = 2) = E(\(X_5\)| \(X_2\) = 2) = 9.
How to find all coordinates are nonnegative and sum to one and a Is a unique?(d) To find a row vector a such that all coordinates are nonnegative and sum to one, and TP = 7a, we can use the fact that a is a left eigenvector of P with eigenvalue 7. That is, we have aP = 7a. Writing out the equations, we get:
a₀ = 7a₀a₁ = 7a₀a₂ = 7a₁a₃ = 7a₂a₄ = 7a₃Since the sum of the coordinates of a is one, we can choose any nonzero value for a₀ and normalize the vector accordingly. For simplicity, we can choose a₀ = 1, giving:
a₀ = 1a₁ = 1a₂ = 7a₃ = 49a₄ = 343Therefore, a = [1, 1, 7, 49, 343] satisfies all the conditions, and it is unique up to scaling by a constant factor.
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Moonstone, Inc., has a total equity of $183,000 and total
assents of $275,000. What is the total debt-equity ratio?
a) 0.82 b)0.50 c)1.18 d) 1.50
The total debt-equity ratio is 0. 50. The correct answer is B.
A company's debt-to-equity ratio (D/E ratio) reveals how much debt it has in relation to its assets. It is calculated by dividing the total debt of a corporation by the total shareholder equity.
To calculate the total debt-equity ratio, we divide the total debt by the total equity.
Total equity = $183,000
Total assets = $275,000
Total debt = Total assets - Total equity
Total debt = $275,000 - $183,000
Total debt = $92,000
Debt-Equity Ratio = Total debt / Total equity
Debt-Equity Ratio = $92,000 / $183,000
Debt-Equity Ratio ≈ 0.5027
Rounding to two decimal places, the total debt-equity ratio is approximately 0.50.
Therefore, the correct option is b) 0.50.
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A force of 68 N is applied to an area of 540 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.
Answer:
\(P=1259.26N/m^2\)
Step-by-step explanation:
From the question we are told that:
Force \(F=68N\)
Area \(A=540cm^2=0.054m^2\)
Generally the equation for Pressure is mathematically given by
\(P=\frac{F}{A}\)
\(P=\frac{68}{0.054}\)
\(P=1259.26N/m^2\)
at a rehearsal dinner the night before a wedding, the bride and groom need to assign 10 people to two tables of five people. how many different groups of five can they form?
The bride and groom can form 252 different groups of five people from the total of 10 people at the rehearsal dinner, as they need to assign them to two tables of five people each.
To determine the number of different groups of five people that can be formed, we can use the concept of combinations. In this scenario, we have 10 people who need to be divided into two groups of five people each.
The number of ways to choose five people out of 10 can be calculated using the combination formula. The formula for combinations is given by:
C(n, r) = n! / (r! * (n - r)!)
Where n represents the total number of people and r represents the number of people to be chosen. In this case, n = 10 and r = 5.
Plugging these values into the formula, we get:
C(10, 5) = 10! / (5! * (10 - 5)!)
= (10 * 9 * 8 * 7 * 6 * 5!) / (5! * 5 * 4 * 3 * 2 * 1)
= (10 * 9 * 8 * 7 * 6) / (5 * 4 * 3 * 2 * 1)
= 252
Therefore, the bride and groom can form 252 different groups of five people from the total of 10 people at the rehearsal dinner. This means that there are 252 distinct ways to divide the 10 people into two tables of five people each, providing flexibility in creating diverse groups for the dinner.
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4p+3=9.8 what does p equal
Answer:
p = 1.7
Step-by-step explanation:
Step 1: Write equation
4p + 3 = 9.8
Step 2: Solve for p
Subtract 3 on both sides: 4p = 6.8Divide both sides by 4: p = 1.7The cutting department of Pharoah Manufacturing has the following production and cost data for July.
Production
Costs
1.
Completed and transferred out 12,500 units.
Beginning work in process
$-0-
2.
2,850 units in ending work in process inventory are 60% complete
Direct materials
42,980
in terms of conversion costs and 100% complete
Direct labour
15,700
in terms of materials at July 31.
Manufacturing overhead
18,404
Materials are entered at the beginning of the process. Conversion costs are incurred uniformly throughout the process.
(a)
Correct answer icon
Your answer is correct.
Determine the equivalent units of production for materials and conversion costs.
Direct Materials
Conversion Costs
Total equivalent units
enter a number of units enter a number of units
eTextbook and Media
Attempts: unlimited
(b)
Calculate unit costs and prepare a cost reconciliation schedule. (Round unit costs to 2 decimal places, e.g. 15.25.)
Unit costs
Direct materials
$enter a dollar amount rounded to 2 decimal places
Conversion costs
$enter a dollar amount rounded to 2 decimal places
Cost Reconciliation Schedule
Costs accounted for
Completed and transferred out
$enter a dollar amount
Work in process inventory, July 31
Direct materials
$enter a dollar amount
Conversion costs
enter a dollar amount enter a subtotal of the two previous amounts
Total costs
a) The determination of the equivalent units of production for materials and conversion costs is as follows:
Equivalent units of production:Units Materials Conversion
Completed and transferred out 12,500 12,500 12,500
Ending work in process 2,850 2,850 1,710
Total equivalent units 15,350 15,350 14,210
b) The calculation of the unit costs is as follows:
Unit costs:
Direct Materials Conversion Costs
Production costs $42,980 $34,104
Total equivalent units 15,350 14,210
Unit costs $2.80 $2.40
c) The preparation of the cost reconciliation schedule is as follows:
Cost Reconciliation Schedule:Direct Materials Conversion Costs Total Costs
Beginning work in process $0 $0 $0
Cost to be accounted for $42,980 $34,104 $77,084
Total production costs $42,980 $34,104 $77,084
Costs accounted for units:
Completed / transferred out $35,000 $30,000 $65,000
Ending work in process $7,980 $4,104 $12,084
Total costs accounted for $42,980 $34,104 $77,084
What are equivalent units?Equivalent units are the multiplication of the number of physical (or actual) units on hand by the percentage of completion of the units.
1. Completed and transferred out 12,500 units.
2. Beginning work in process = $0
Ending work in process = 2,850 units 60% complete
Production Costs
Direct materials costs = $42,980 100% complete in terms of materials at July 31.
Direct labour = $15,700
Manufacturing overhead = $18,404
Total conversion costs = $34,104 ($15,700 + $18,404)
Equivalent units of production:
Units Materials Conversion
Completed and transferred out 12,500 12,500 12,500
Ending work in process 2,850 2,850 (100%) 1,710 (60%)
Total equivalent units 15,350 15,350 14,210
Unit costs:
Direct Materials Conversion Costs
Production costs $42,980 $34,104
Total equivalent units 15,350 14,210
Unit costs $2.80 $2.40
($42,980 ÷ 15,350) ($34,104 ÷ 14,210)
Cost Reconciliation Schedule:
Direct Materials Conversion Costs Total Costs
Beginning work in process $0 $0 $0
Cost to be accounted for $42,980 $34,104 $77,084
Total production costs $42,980 $34,104 $77,084
Costs accounted for units:
Completed / transferred out $35,000 $30,000 $65,000
(12,500 x $2.80) (12,500 x $2.40)
Ending work in process $7,980 $4,104 $12,084
(2,850 x $2.80) (1,710 x $2.40)
Total costs accounted for $42,980 $34,104 $77,084
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Triangle ABC is translated using the rule (x, y) → (x + 1, y − 4) to create triangle A′B′C′. If a line segment is drawn from point A to point A′ and from point B to point B′, which statement would best describe the line segments drawn? (1 point) They share the same midpoints. They create diameters of concentric circles. They are parallel and congruent. They are perpendicular to each other.
If a line segment is drawn from point A to point A′ and from point B to point B′, the statement which would best describe the line segments drawn is that: C. they are parallel and congruent.
What is a line segment?A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
What is a translation?A translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.
In this context, we can reasonably infer and logically deduce that a translation would shift the geometric figure (triangle) parallel to the natural axis by the same distance and in the same direction, which makes it congruent.
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A box contains 9 balls written B,E,R,N,H,E,A,R,T. Two balls are drawn at random without replacement. what is the probability of getting both balls written with R ?
Answer:
How many balls have “R” written on them initially? We can see this is 2.
How many balls are there initially? This is 9.
As a result, the probability of initially drawing a ball with an R on it is 2/9, as out of the 9 possible draws we could make, 2 of them result in a ball with R on it.
How many balls have “R” written on them now? We can see this is 1, since we just drew one ball with R on it and didn’t replace.
How many balls are there in total right now? This is 8, because we took away one.
As a result, the probability of drawing a ball with an R on it after having already done so is 1/8, as out of the 8 possible draws we could make, 1 results in a ball with R on it.
We then multiply these two values (2/9)*(1/8) = 2/72, which is our probability.
Another way to think about this is that there are 72 possible combinations of balls that we could draw, counting each ball uniquely. This is because of our denominator, since 8*9=72. Out of those 72 outcomes that could possibly happen, 2 outcomes will result in both balls being written with R.
Step-by-step explanation:
y = 2(x + 3)2 – 6
Change the vertex form to standard quadratic form
Answer:
2xsquare +12x+12=0. i think thats the ryt answer
2. Elena has a square piece of wood with an area of 74 square inches. How long should each side be rounded to the nearest tenth of an inch?
Answer:18.5
Step-by-step explanation:
Okay if it's a square that means four sides.so you would take 74 divide it by four and get the final answer of 18.5
Soledad buys 5 ounces of frozen yogurt for $2.25. What is the unit price of the frozen yogurt in dollars per ounce?
Answer:
0.45
Step-by-step explanation:
You divided 2.25 by 5
how to graph
\(1 \frac{1}{3} \)
and
\( \frac{2}{3} \)
on a cartesian plane? please explain how
The point (1 and 1/3, 2/3) on the Cartesian plane is given by the image shown at the end of the answer.
How to graph the points on the Cartesian plane?All the points on the coordinate map have a x-coordinate and an y-coordinate, and the format of the point is given by the relation as follows:
(x,y).
The meaning of each coordinate is given as follows:
x-coordinate: horizontal position relative to the origin, that is, relative to x = 0.y-coordinate: vertical position relative to the origin, that is, relative to y = 0.The x-coordinate of the point in this problem is:
x = 1 and 1/3.
It is a mixed number, hence the decimal equivalent is of:
x = 1 + 1/3 = 1 + 0.33 = 1.33.
Meaning that the point is at an horizontal position that 1.33 units from the origin zero, that is, one point plus one third of the distance from one to two.
The y-coordinate is of:
y = 2/3.
Meaning that the vertical position of the point is 2/3 of the way from y = 0 to y = 1.
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11. a bag contains 8 red marbles, 9 yellow marbles, and
7 green marbles. how many additional red marbles
must be added to the 24 marbles already in the bag so
that the probability of randomly drawing a red marble
is
15.
a 11
b. 16
c. 20
d. 24
e. 32
To get a probability of 3/5, 16 red marbles must be added.
How many additional red marbles must be added?
There are 8 red, 9 yellow, and 7 green marbles, for a total of:
8 + 9 + 7 = 24.
The probability of getting a particular color of marble is given by the quotient between the number of marbles of that color and the total number of marbles.
Here, we want to get a probability of drawing a red marble equal to 3/5.
So, if we add x red marbles, the probability of getting a red marble will be:
P = (8 + x)/(24 + x)
And that must be equal ot 1/5, then we write:
(3/5) = (8 + x)/(24 + x)
If we multiply both sides bt (24 + x), we will get:
3*(24 + x)/5 = 8 + x
Now we can solve that for x.
3*24/5 - 8 = x - x(3/5) = (2/5)*x
x = (3*24/5)*(5/2) - (5/2)*8 = 16
So 16 red marbles must be added, the correct option is b.
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Question 12 of 17
Which of the following pairs of functions are inverses of each other?
A. f(x)=3(3)-10 and g(x)=+10
-8
B. f(x)= x=8+9 and g(x) = 4(x+8)-9
C. f(x) = 4(x-12)+2 and g(x)=x+12-2
4
OD. f(x)-3-4 and g(x) = 2(x+4)
3
Answer:
Step-by-step explanation:
To determine if two functions are inverses of each other, we need to check if their compositions result in the identity function.
Let's examine each pair of functions:
A. f(x) = 3(3) - 10 and g(x) = -8
To find the composition, we substitute g(x) into f(x):
f(g(x)) = 3(-8) - 10 = -34
Since f(g(x)) ≠ x, these functions are not inverses of each other.
B. f(x) = x + 8 + 9 and g(x) = 4(x + 8) - 9
To find the composition, we substitute g(x) into f(x):
f(g(x)) = 4(x + 8) - 9 + 8 + 9 = 4x + 32
Since f(g(x)) ≠ x, these functions are not inverses of each other.
C. f(x) = 4(x - 12) + 2 and g(x) = x + 12 - 2
To find the composition, we substitute g(x) into f(x):
f(g(x)) = 4((x + 12) - 2) + 2 = 4x + 44
Since f(g(x)) ≠ x, these functions are not inverses of each other.
D. f(x) = 3 - 4 and g(x) = 2(x + 4)
To find the composition, we substitute g(x) into f(x):
f(g(x)) = 3 - 4 = -1
Since f(g(x)) = x, these functions are inverses of each other.
Therefore, the pair of functions f(x) = 3 - 4 and g(x) = 2(x + 4) are inverses of each other.
SOMEONE PLEASE HELP WITH THIS KHAN ACADEMY QUESTION ONLY DO IT IF YK WHAT U DOING DONT GUESS
Answer:
A. 32.5
Step-by-step explanation:
1st, HELLO! Sorry I took a while to answer. You are probably already done but...
You need to find the distance for each line segment. So, since AB is flat, we know it is equal to 4. If you form a triangle on BC, the legs would be 8 and 5. So, 8^2+5^2=89=c^2 so c=sqrt89 or about 9.4. Now, CD has legs of 4, so (4^2)*2=32=c^2. C~5.656~5.7. DE has legs of 8 and 5 so 8^2+5^2=64+25=89. Sqrt89 is about 9.4. EA is 4. So, combine them all and you get
4+9.4+5.7+9.4+4=32.5
:)
Simplify the expression 17x-24x+13x. Your answer should have the variable x in it only once.
I need help ASAP!! PLEASE EXPLAIN YOUR ANSWER
Answer:
600
Step-by-step explanation:
Volume of cuboid = l x w x h
length = 12
width = 10
height = 5
12 x 10 x 5 = 600 yd^3
answered by g a u t h m a t h
Please help:)
Find the median of x, 2x + 1, x/2 - 13, 45 and x + 22 if the mean of this set of numbers is 83.
Answer:
102.857
Step-by-step explanation:
First solve for x:
\(\frac{x + (2x + 1) + (x/2-13) + 45 + (x + 22)}{5} = 83\)
x + (2x + 1) + (x/2 - 13) + 45 + (x + 22) = 83 × 5
x + 2x + 1 + x/2 - 13 + 45 + x + 22 = 415
(x + 2x + x/2) + (1 - 13 + 45 + 22) = 415
(7/2)x + 55 = 415
(7/2)x = 360
x = 720/7
Plug in the x values to the numbers:
x = 720/7 ≈ 102.8572x + 1 = 2(720/7) + 1 ≈ 206.714x/2 - 13 = (720/7)/2 - 13 ≈ 38.42945x + 22 ≈ 124.857Order least to greatest:
38.429, 45, 102.857, 124.857, 206.714
Find the median:
102.857
what is the slope? Rise/Run
Answer: divided by 3
Step-by-step explanation: x is rise y is run
Answer:
The answer is 1/3
Step-by-step explanation:
y2 - y1 0 - (-1)
_______ = ______ = 1/3
x2 - x1 0 - (-3)
Question 8(Multiple Choice Worth 5 points) (Two-Step Linear Inequalities MC) A Solve the inequality and graph the solution. -3p+ 6.7> -4.4 (HELP ASAP!)
Answer: p < \(-\frac{11.1}{3}\)
Step-by-step explanation:
To solve, we will isolate the p variable.
Given:
-3p + 6.7 > -4.4
Subtract 6.7 from both sides of the equation:
-3p > -11.1
Divide both sides of the equation by 3:
Note, you must switch the sign since you're dividing by a negative.
p < \(-\frac{11.1}{3}\)
Answer:
p < 3.7
Step-by-step explanation:
-3p + 6.7 > -4.4
1- subtract 6.7 to leave -3p alone
-3p + 6.7 -6.7 > -4.4 - 6.7
-3p > -11.1
2- Divide both sides by -3. NOTE; u must change the > sign to < because u r dividing by a negative
-3p/-3 = p
-11.1/-3= 3.7
p < 3.7
The American Academy of Pediatrics recommends that parents begin reading to their children soon after birth and that parents set limits on screen time. A new study reinforces these recommendations. In the study, 27 four-year-olds were presented with stories in three different formats: audio (sound only), illustrated (sound and pictures), and animated (sound and animation). During the presentations, a magnetic resonance imaging (MRI) machine measured each child’s brain connectivity. The researches found a "Goldilocks effect," in which audio was too cold (with low brain connectivity as the children strained to understand) and animation was too hot (with low brain connectivity as the animation did all the work for the children). The highest connectivity (just right!) was found with the illustrated format, which simulates reading a book to a child.
a)What is the explanatory variable? Is it categorical or quantitative?
b)What is the response variable? Is it categorical or quantitative?
c)How many observational units (or individuals) are there?
a) The explanatory variable in the study is the format of the stories presented to the four-year-olds: audio, illustrated, and animated. This variable is categorical because it involves distinct categories or formats.
b) The response variable in the study is the brain connectivity measured by the magnetic resonance imaging (MRI) machine. This variable is quantitative as it represents a numerical measurement of brain connectivity.
c) The study includes 27 four-year-olds as the observational units or individuals.
Determine the different story format?The study aimed to investigate the impact of different story formats on brain connectivity in four-year-olds. The explanatory variable, format, was categorized into three groups: audio, illustrated, and animated.
The response variable, brain connectivity, was measured using an MRI machine. The researchers found a "Goldilocks effect" in the brain connectivity, indicating that the audio format was associated with low brain connectivity, possibly due to the children straining to understand.
On the other hand, the animated format also resulted in low brain connectivity, suggesting that the animation did all the work for the children.
The highest brain connectivity, considered optimal, was observed with the illustrated format, which simulated the experience of reading a book to a child.
The study included 27 four-year-olds as the observational units, providing insights into the relationship between story format and brain connectivity in young children.
To know more about magnetic resonance imaging, refer here:
https://brainly.com/question/30523981#
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The height put together is 4.625 and the diameter is .9375 so the equation u guys have to do is
V= 1/3(3.14)(.9375)(4.625)
Step-by-step explanation:
This was the best I could do.
Since V = 1/3(3.14)(.9375)(4.625)
The answer is 4.53828125
Answer:
4.54 in³
Step-by-step explanation:
V = ¹/₃(3.14)(0.9375)(4.625)
V = 4.53828120462
can yall do me a favor, i know this random but i got played by someone so can u spaam his ig, acc name is sturdyyyyy_ just spam his comments called him a cheater and tell him he weird. please. females help a person out.
Answer:
okkkkk
Step-by-step explanation: