Options :
A.) On average, the height of a child is 80% of the age of the child.
B.) The least-squares regression line of height versus age will have a slope of 0.8.
C.) The proportion of the variation in height that is explained by a regression on age is 0.64.
D.) The least-squares regression line will correctly predict height based on age 80% of the time.
E.) The least-squares regression line will correctly predict height based on age 64% of the time.
Answer:
C.) The proportion of the variation in height that is explained by a regression on age is 0.64.
Step-by-step explanation: from the scenario stated above, The correlation Coefficient R = 0.8, which shows the strength of relationship between age and height of children. From the value of correlation Coefficient Given, we can obtain the Coefficient of determination (R²) which gives the percentage of Variation which can be explained by the regression model.
Hence the Coefficient of determination (R²) = 0.8² = 0.64. Hence, the proportion of variation in height of children which can he due to age is 0.64 while 0.36 can be based on other factors.
Based on the line created from the data to the height of a child based on age the correct statement is given by: Option C.) The proportion of the variation in height that is explained by a regression on age is 0.64.
How can we get to know the variability of one variable to other from correlation coefficient?For that, we can use the coefficient of determination.
The coefficient of determination is square of correlation coefficient and thus, ranges from 0 to 1.
The coefficient of determination tells for unit variation in one variable will lead to how much variation in other variable and vice versa.
Let we take:
X = age of children of the sample considered
Y = height of children of the sample considered
Then, as it is given that:
[tex]r(X, Y) = 0.8[/tex]
Thus, the coefficient of determination is: [tex]r^2 = 0.8^2 = 0.64[/tex]
Thus, we get that 0.64 of the variation in the height is explained by the age of the children.
Thus, the true statement is:
Option C.) The proportion of the variation in height that is explained by a regression on age is 0.64.
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The total number of students enrolled at Phillips Middle School is 1,800 students. If the ratio of boys to girls is 4 to 5 for the school, how many students are boys and how many are girls? Show your work.
Answer:
There are 800 girls and 1000 boys.
Step-by-step explanation:
The total no of students enrolled = 1800
Ratio of boys to the girls is 4:5.
Let there are 4x boys and 5x girls.
ATQ,
4x+5x=1800
9x=1800
x = 200
No of boys = 4x = 4(200) = 800
No of girls = 5x = 5(200) = 1000
So, there are 800 girls and 1000 boys.
Answer:
kjhb
Step-by-step explanation:
piyg
factor the expression -15 + 6y
Answer:
3(2y - 5)
Step-by-step explanation:
-15 + 6y OR 6y - 15
Since 3 can divide the equation, we will use it to factor the equation;
3(2y - 5)
A car bought for $2500 is sold for $2000. What
is the loss as a percentage of the cost price? Please help.
Answer:
20% lost
Step-by-step explanation:
the difference is 500 and 500 is 20 percent of 2500
Answer:
20 percent
Step-by-step explanation:
Dimitri is buying a camera on an installment plan. He makes equal monthly payments. The equation below can be used to find the amount he owes after any number of months of payments.
y=−25x+400
What does the number 400 represent in the equation?
Answer: How much he owes initially
Step-by-step explanation: It is in slope-intercept form. y=mx+b. My comment earlier was incorrect. m is how much money he has to pay every month, and b is how much he initially owes.
How much he owns initially
A group of experimenters has 40 mosquitoes in a large container and needs to assign 10 to each of the four groups labeled A, B, C, and D for an experiment. They can capture the mosquitoes one at a time when the mosquitoes enter a side chamber in the container that is baited with water. Which of the following methods is most likely to result in four comparable groups of 10 mosquitoes each?
A. Label the first 10 mosquitoes caught as group A, the second 10 caught as group B, the third 10 caught as group C, and the fourth 10 caught as group D.
B. Write the letters A, B, C, and D on separate slips of paper. Pick one of the slips of paper randomly and assign the first 10 mosquitoes caught to that group. Pick another slip and assign the next 10 mosquitoes caught to that group. Pick another slip and assign the next 10 mosquitoes caught to that group. Assign the remaining mosquitoes to the remaining group
C. When each mosquito is caught, roll a die. If the die shows an even number, the mosquito is labeled A If the die shows an odd number, the mosquito is
labeled B. When 10 mosquitoes have been labeled A and 10 have been labeled B. split the remaining 20 mosquitoes into groups C and D.
D. Place each mosquito in its own numbered container (numbered from 1-40) in the order it was caught. Write the numbers from 1 to 40 on slips of paper, put the slips in a jar, and mix them well Pick 10 numbers out of the jar Assign the mosquitoes in the containers with those numbers to group A. Pick 10
more numbers for group B. Pick 10 more numbers for group C. Assign the remaining 10 mosquitoes to group D.
E. When each mosquito is caught, roll a die if the die shows a 1 or 2, the mosquito is labeled A. If the die shows a 3 or 4, the mosquito is labeled B. If the die shows a 5 or 6, the mosquito is labeled C. Repeat this process for 30 mosquitoes Assign the remaining 10 mosquitoes to group D.
Answer: D. Place each mosquito in its own numbered container (numbered from 1-40) in the order it was caught. Write the numbers from 1 to 40 on slips of paper, put the slips in a jar, and mix them well Pick 10 numbers out of the jar Assign the mosquitoes in the containers with those numbers to group A. Pick 10 more numbers for group B. Pick 10 more numbers for group C. Assign the remaining 10 mosquitoes to group D.
Step-by-step explanation:
This way of gathering the mosquitos is more randomized thus ensuring fair and comparable groups of 10 mosquitos each.
Answer:
The answer is D. I took this test!
Step-by-step explanation:
Vertex of y = -2|x + 11 - 2
Answer:
Ballls lol
Step-by-step explanation:
Why beacon because yes beacon
Read the equations in the table below. Then drag a description of the situation and a table to represent each equation. Indicate whether each of the relationships is proportional or non-proportional.
PLEASE ADD YOUR OWN PICTURE OF ANSWERS! thanks ;)
Answer:
The Following
|
v
Step-by-step explanation:
Equation: y=3x
Situation: Justin gets 3 cookies for every$1 he spends at the bakery
Table:
x y
0 0
1 3
2 6
3 9
4 12
Relationship: Proportional
The Other Answers Go To: y= 3 + x
Sorry I couldn't add pic! :(
Answer:
Step-by-step explanation:
Which pair of triangles must be similar? Group of answer choices Triangles 1 and 2 each have a 35∘ angle. Triangles 3 and 4 are both isosceles. They each have a 40∘ angle. Triangle 5 has a 30∘ angle and a 90∘ angle. Triangle 6 has a 30∘ angle and a 70∘ angle. Triangle 7 has a 50∘ angle and a 25∘ angle. Triangle 8 has a 50∘ angle and a 105∘ angle.
Answer:
b
Step-by-step explanation:
Jacob drew the following composite figure.
What is the area of this composite figure?
Answer:
978 square inches
Step-by-step explanation:
In which way do RElTs resemble mutual funds?
a. Money is invested in a fund that is controlled by a board, and dividends are paid out to the investors.
b.Both mutual funds and REITS provide the investor with a monthly income.
c. Both REITS and mutual funds are deferred until after retirement.
d. Mutual funds and REITS are involved with investing money in real estate.
Answer:
A, 100 on Edge :)
Step-by-step explanation:
Christina's grade for her history class will be the average of
her midterm exam, final exam, and final paper. She received a
91 on her midterm and an 86 on her paper. What grade must
she get on her final exam to receive a grade of 90 for the
class? Explain using R.A.C.E.
The average is calculated by the sum of the total test scores divided by the total number of tests. This can represented in the equation:
91 + 86 + x /3 = 90
177 + x /3 = 90 ⇒ Multiply both sides by 3 to get rid of the /3
177 + x /3 x 3 = 90 (3)
177 + x =
177 - 177 + x = 270 - 177 ⇒ Subtract 177 from both sides to isolate x
x =93
Therefore, they must get 93% to end with a 90% final mark
Abe had 156.43$ in his bank account at the beginning of the month. He made the two withdrawals shown in his check register. How much money does he have left in his bank account? He must have at least 100$ in his account by the end of the month or he will be charged a fee. How much money does he need to deposit to avid being charged a fee?
Answer:
$92.05$7.95Step-by-step explanation:
1. Abe had $156.43 in his account and then withdrew $24.97 and $39.41. The amount left is;
= 156.43 - 24.97 - 39.41
= $92.05
2. He needs to have at least a $100 to avoid a fee so the minimum he needs to deposit is;
= 100 - 92.05
= $7.95
What two numbers multiply to -28 and add up to -3?
Answer:
-7 and 4
Step-by-step explanation:
-7 + 4 = -3
-7 x 4 = -28
the difference between two number is 5 and difference in thrie squares is 65 . find the larger number.?
Answer:
it is 9 and 4
Step-by-step explanation:
he is correct
Mary has $120 to spend on a tour of a
castle with her friends. The cost is $15 for a
tour guide and then $12 per person. Which
equation best represents how many friends
she can invite?
A. 15x + 12 > 120
B. 15x + 12 < 120
C. 12x + 15 > 120
D. 12x + 15 < 120
Answer:
12x+15>120, choice C
Step-by-step explanation:
$12/person
$15/guide
X=12
It cannot be B or D because she only has 120 to spend. It is not possible to spend more than that. It cannot B either because X=12, the number f friends she can invite which is our unknown variable. The answer has to be C. It makes the most sense.
The population of the US is about 300 million people there are approximately 1.2×10 to the 10th power US dollars in existence if that money is given to the population equally what amount does each person receive
Answer:
206.39121408
Step-by-step explanation:
So you do, (1.2*10)^10 which equals to 61917364224. divide that number by 300million. and that answer is 206.39121408 or in money, you could say, 206 dollars and 39 cents
The population of the United States is approximately 300 million people, and there are approximately 1.2 × 10 to the tenth power US dollars in existence; if that money is distributed evenly, each person receives $206.39121408.
What is meant by equation?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. For example, 3x + 5 = 14 is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.In mathematics, an equation is a relationship of equality between two expressions written on both sides of the equal to sign. 3y = 16 is an example of an equation.A mathematical statement made up of two expressions joined by an equal sign is known as an equation.3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.Given that,
[tex](1.2\times10) ^{10}[/tex] which equals 61917364224.
divide 61917364224 by 300million
∴ 61917364224 / 300
= 206.39121408
Therefore, 206.39121408 is an abbreviation for 206 dollars and 39 cents.
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Find a rational number between 6 and 7.
find the perimeter of polygon rstuv for y= 9
show work please thank you !!!!
Answer: 225 units
Regular pentagons have 5 sides of equal length and 5 angles of equal measure. so if you have one side you can solve the rest. We have y so 5 times y equals 5 times 9=45 units per side. Multiply by the number of sides (5) and you get 225 units.
3.02 Quiz: Constructions of Segments Angles and Bisectors
What are the steps for using a compass and straightedge to construct the bisector of ZR?
R
Drag the steps and drop them in order from start to finish.
Use the straightedge to draw RU
Without changing the opening of the compass, place the point of the compass on point T and draw another are in the interior of
the angle.
Place the point of the compass on point S and draw an arc in the interior of the angle.
Place the point of the compass on point R and draw an arc that intersects the sides of ZR. Label the points of intersection as
Answer:
The steps to construct the bisector of ∠R using a compass and a straightedge in order from start to finish are;
1) Place the point of the compass on point R and draw an arc that intersects the sides of ∠R. Label the points of intersection as T and S
2) Place the point of the compass on point S and draw an arc in the interior of the angle
3) Without changing the opening of the compass, place the point of the compass on the point T and draw another arc in the interior of angle ∠R. Label the point of intersection of the two arcs as U
4) Use the straightedge to draw RU
Step-by-step explanation:
In order to construct the bisector to an angle
The compass is used to draw an arc that intersects the two rays forming the angle.
From the point of intersection of the arc constructed above and the two rays, two arcs are drawn with the same radius, on the inside of the angle to be bisected, intersecting each other
From the point of intersection of the two arcs drawn wit the same radius, drawn from the intersection of the first arc and the two rays forming the angle to be bisected, a line is drawn with a rule or straightedge to the vertex of the angle to be bisected.
Answer:
The steps to construct the bisector of ∠R using a compass and a straightedge in order from start to finish are;
1) Place the point of the compass on point R and draw an arc that intersects the sides of ∠R. Label the points of intersection as T and S
2) Place the point of the compass on point S and draw an arc in the interior of the angle
3) Without changing the opening of the compass, place the point of the compass on the point T and draw another arc in the interior of angle ∠R. Label the point of intersection of the two arcs as U
4) Use the straightedge to draw RU
Step-by-step explanation:
In order to construct the bisector to an angle
The compass is used to draw an arc that intersects the two rays forming the angle.
From the point of intersection of the arc constructed above and the two rays, two arcs are drawn with the same radius, on the inside of the angle to be bisected, intersecting each other
From the point of intersection of the two arcs drawn wit the same radius, drawn from the intersection of the first arc and the two rays forming the angle to be bisected, a line is drawn with a rule or straightedge to the vertex of the angle to be bisected.
Step-by-step explanation:
Bob runs 4 laps around a track in 10 minutes. A) How many minutes per lap is that? B) How many laps per minute is that? C) If Bob runs 17 laps at the same rate, how long does it take him?
Answer:
Step-by-step explanation:
Firstly, let us solve for Bobs speed
speed= distance/time
given
distance= 4 laps
time= 10 min
speed= 4/10
speed=0.4laps/min
this is the rate at which Bob is running
A) How many minutes per lap is that?
this is given as
=time/distance
=10/4
=2.5 min per lap
B) How many laps per minute is that?
this is given as
=distance/time
=4/10
=0.4lad per min
C) If Bob runs 17 laps at the same rate, how long does it take him?
given that the speed is 0.4 laps per min
and a distance of 17 laps, we want to find time
speed=distance/time
0.4=17/time
time=17/0.4
time=42.5min
Please help fast thank you. The problem is in the picture.
Answer:
B. acute
Step-by-step explanation:
Answer:
B: Acute triangle
Step-by-step explanation:
All of the interior angles are acute, so this is an acute triangle.
ASAP——-Write the slope-intercept form of the given line. Include your work in your final answer,
Answer:
Step-by-step explanation:
slope is -1/3
y=-1/3x+b
take the point (1,0) and put in the equation
0=-1/3(-1)+b
0=1/3+b
-1/3+0=-1/3+1/3+b
-1/3=b
y=-1/3-1/3
Suppose you work on a tree farm and you need to find the height of each tree. You know that the length of an object with its height. Find the constant of variation
Answer:
The answer is below
Step-by-step explanation:
Suppose you work on a tree farm and you need to find the height of each tree. You know that the length of an object varies directly with its height. a) Find the constant of variation b) find the height of the tree
Solution:
a) Let y represent the length of an object and x represent the height of the object. Given that y ∝ x. Let k be the constant of variation, therefore the relationship between y and x is:
y = kx
y = 2 ft 2 in = 13/6 ft (1 ft = 12 in)
x = 6 ft
Substituting gives:
13/6 = k(6)
k = 13/6 ÷ 6
k = 13/36
b) y = (13/36)x
Given that y = 8ft 4 in = 25/3 ft
Substituting:
y = (13/36)x
25/3 = (13/36)x
x = 25/3 ÷ (13/36)
x= 300/13 ft ≈ 23 ft
Which of the following equations is the perpendicular bisector of the line AB given:
A(3,1) & B(-3,6)
O y = 6/5x + 4
O y = 6/5x + 9/2
O y = 6/5x + 7/2
O y = -5/6x + 7/2
Answer:
C. y = ⁶/5x + ⁷/2
Step-by-step explanation:
First, find the slope of line AB that goes through A(3, 1) and B(-3, 6):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 1}{-3 - 3} = \frac{5}{-6} [/tex].
Slope of line AB = -⅚.
The slope of the line that is a perpendicular bisector of line AB will be a negative reciprocal of the slope of line AB.
Thus:
Negative reciprocal of -⅚ = ⁶/5. (Reciprocal of ⅚, also the sign will change from positive to negative).
Next is to find the y-intercept, b, of the line.
To do this, you need to find the midpoint where the two lines intersect:
Therefore,
Midpoint (M) of AB, for A(3, 1) and B(-3, 6) is given as:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] A(3, 1) = (x_1, y_1) [/tex]
[tex] B(-3, 6) = (x_2, y_2) [/tex]
Thus:
[tex] M(\frac{3 +(-3)}{2}, \frac{1 + 6}{2}) [/tex]
[tex] M(\frac{0}{2}, \frac{7}{2}) [/tex]
[tex] M(0, \frac{7}{2}) [/tex]
Substitute x = 0, y = ⁷/2, and m = ⁶/5 into y = mx + b and find the value of b.
⁷/2 = ⁶/5(0) + b
⁷/2 = b
b = ⁷/2
The slope (m) and the y-intercept, b, of the line we are looking for are ⁶/5 and ⁷/2, respectively.
Therefore, substitute m = ⁶/5 and b = ⁷/2 into y = mx + b.
y = ⁶/5x + ⁷/2
The equation that is the perpendicular bisector of the line AB is y = ⁶/5x + ⁷/2.
Azarel spent half of his weekly allowance on comic books. To earn more
money his parents let him clean the windows in the house for $9. What is
hsi weekly allowance if he ended up with $12? *
Answer:
His weekly allowance is $6.
Step-by-step explanation:
You can get the answer by using algebraic expressions.
Let 2x be Azarel's weekly allowance.
Let [tex]\frac{1}{2}[/tex](2x) be the amount after Azarel spends his allowance on comic books.
The equation will be: 12=2x+9-[tex]\frac{1}{2}[/tex](2x)
Let's solve for x:
Step 1: 12=2x+9-x
Step 2: 12=x-9
Step 3: x=12-9
Step 4: x=3
Step 5: Replace 2x with 2(3) = 6
The answer is $6. This is the allowance of Azarel every week. He spends $3 for comic books weekly, which is half of $6.
the perimeter of a rectangular window is 280cm. if the length of the window is 83cm, what is the width
Answer:
the width would be 57cm
Step-by-step explanation:
to find the perimeter you have to add up all of the sides so for this one you would multiply 83 by 2 which would give you 166cm and then subtract it by 280cm which would give you 114cm and then you divide 114 by 2 which would give you 57
In the following figure, given a parallelogram ABCD. Find x and y
Answer: Ctrl + U scroll to the bottom and see your answers
Step-by-step explanation:
Mrs. Garza went to dinner at ChaChi's with her family. The food bill was
$58.00. Because the Garza's won the lottery, Mr. Garza tipped the waiter 30%
of the food bill. How much money did the Garza's pay in total, including the
tip?
Answer:
$75.40
Step-by-step explanation:
first you need to find what 30% of 58 is. to find that you would multiply the decimal form of the percentage (so 30% would become 0.3) by 58. this gets you 17.4. then you add that to the original price (58) to get the answer (75.4). then of course you change the format so that it can fit the whole dollar and cent thing so you get $75.40.
hope this helped :))
A group of students were competing to raise money for a local animal shelter; their goal was to raise $400. Phillip raised 60% of the goal himself himself. How much money will the rest of the students raise.
Answer:
the rest of the students will have to raise $240
Step-by-step explanation:
times 400 by 60% or 0.60
400 x 0.60 = 240
A soccer team practices 3 times a week. Each practice lasts for 110 minutes. The team practiced for 14 weeks during the season.
Answer:
4620
Step-by-step explanation:
3 time110=330 a week
3 times 14=42 pratices
3 times 42 =4620
