A fourth grade teacher gives homework every night in both mathematics and language arts. The time to complete the mathematics homework has a mean of 10 minutes and a standard deviation of 3 minutes. The time to complete the language arts assignment has a mean of 12 minutes and a standard deviation of 4 minutes. The time to complete the mathematics and the time to complete the language arts homework has a correlation rho = -0.75. The variance of the time to complete the entire homework assignment is

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Given that:

X = time taken to complete mathematics homework

Y= time taken to complete language homework

Standard deviation of X ; SD(X) = 3

Standard deviation of Y ; SD(Y) = 4

rho = - 0.375

rho = Cov(X, Y) / SD(X) * SD(Y)

-0.375 = COV(X, Y) / 3 * 4

COV(X, Y) = 12 * - 0.375

COV(X,Y) = - 4.5

Variance(X, Y) = V(X, Y)

V(X, Y) = V(X) + V(Y) + 2COV(X,Y)

V(X) =SD(X)² = 3² = 9

V(Y) = SD(Y)² = 4² = 16

V(X,Y) = 9 + 16 + 2(-4.5)

V(X, Y) = 16

SD(X, Y) = sqrt(V(X, Y)) = sqrt(16) = 4

Hence, standard deviation to complete entire homework, SD(X, Y) = 4


Related Questions

In January of 2011, the U.S. saw an increase in gas prices. Imagine the average price per gallon was $3.12 with a standard deviation of $0.27, according to a source such as AAA (Automobile Association of America) that tracks gas prices. You are on your long mid-semester break, so you and some friends decide to go on a 3000-mile road trip. You record the price of gas each of the 10 times you fill up your tank, and you compute an average price per gallon of $3.16. What percent of other sample means, based on 10 gas stations, would be greater than the one you observed

Answers

Answer:

31.92%

Step-by-step explanation:

We are given;

Population mean; μ = $3.12

Sample mean; x¯ = $3.16

Sample size; n = 10

Standard deviation; σ = $0.27

Z-score formula is; z = (x¯ - μ)/(σ/√n)

z = (3.16 - 3.12)/(0.27/√10)

z = 0.04/(0.08538)

z ≈ 0.47

Now, the percent of other sample means, based on 10 gas stations, that would be greater than the one observed is;

P(x¯ > 3.12) = 1 - P(z < 0.47)

From z-table attached P(z < 0.47) = 0.68082

Thus;

P(z > 0.47) = 1 - 0.68082

P(z > 0.47) ≈ 0.3192

This expressed in percentage is 31.92%

Find the area of the figure.
4.5 cm
24 cm
5.5 cm

Answers

Answer:

The answe is 34. Hope this helped!

Step-by-step explanation:

multippy all the given measurements:

24× 5.5.× 4.5

you will get area as :

594 cm²

someone please please help me!

Answers

Answer:

B os correct because its multiplied itself 5 times

determine the sum of the prime factor of 675​

Answers

Answer:

5 ÷ 5 = 1 - No remainder! 5 is one of the factors! The orange divisor above are the prime factors of the number 675. If we put all of it together we have the factors 3 x 3 x 3 x 5 x 5 = 675.

Step-by-step explanation:

SPEED RUN

The sum of the prime factor of 675​ is, 8.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Number is,

⇒ 675

Now, Factorization of 675 is,

⇒ 675 = 3 x 3 x 3 x 5 x 5

Hence, Prime factors of 675 are 3 and 5.

Thus, The sum of the prime factor of 675​ is,

⇒ 3 + 5

⇒ 8

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A jet fighter is capable of reaching speeds up to 1.5 x 10^3 miles per hour. A typical passenger plane can reach speeds of approximately
5.0 x 10^2 miles per hour. About how many times faster can the jet fighter travel per hour than the typical passenger plane?

Answers

Answer:

3 times faster

Step-by-step explanation:

[tex]\frac{1.5(10)^{3} }{5.0(10)^{2}} = \frac{1.5(10)}{5} = \frac{15}{5} = 3[/tex] times faster

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 140 centimeters in 35 seconds. What is the time in seconds the toy robot moves when the total distance is 70 centimeters?

Answers

Answer:

17.5 seconds

Step-by-step explanation:

140 cm/35 sec (find unit rate)

4 cm/ 1 second

[tex]\frac{4}{1} = \frac{70}{x}[/tex] (divide 70 by 4)

70/4=17.5

[tex]\frac{4}{1} = \frac{70}{17.5}[/tex]

Plot and connect the points A (-4, -5), B (-2, -3), C (4, -3), D (6, -2), E (6, 6), F (-1, 6), G (-4, 2), and find the length of EF.What is it in units

Answers

Answer:

The length EF is 7 units.

Step-by-step explanation:

The length between the points E and F, using the plot below, is:

[tex]\bar{EF}=7\: u[/tex]

Therefore the length EF is 7 units.

I hope it helps you!

A model car is made to a scale of 1:50 (model: real). If the model has a length of 10 cm, calculate the length of the real car (answer in meters).

Answers

Answer:

5 m

Step-by-step explanation:

A model car is made to a scale of 1:50 (model: real).

If the model has a length of 10 cm, calculate the length of the real car (answer in meters).

We have a scale of :

model: real = 1:50

The model has a length of 10cm

Hence:

1 cm = 50 cm

10 cm = x cm

Cross Multiply

x cm × 1cm = 10 cm × 50 cm

x cm = 10 cm × 50 cm/1cm

x cm = 500 cm

The length of the real car is 500cm

Converting the length of the real car to meters

100cm = 1 m

500 cm = x m

Cross Multiply

100cm × x m = 500 cm × 1 m

x m = 500 cm × 1 m/100 cm

x m = 5 m

The Length of the real car in meters is 5m

find the solution of given expression

[tex] \sqrt{587 \times 587} [/tex]

Answers

Answer:

√{587×587}=√587²=±587 is your answer

Answer:

587

Step-by-step explanation:

If you look at the problem carefully, you will see that the question is basically just asking "what is the square root of 587 squared?" The square root and squared of something always cancel out, so the answer would be 587.

You could also just use your calculator. If you don't have one, your phone or computer should. Just plug it in and it will solve for you.

Hope this information helps. Please let me know if you need any more help!

what is 3 3/4 dived by 2 5/8

Answers

Answer:

[tex]1 \frac{36}{84} [/tex]

simplified :

[tex]1 \frac{3}{7} [/tex]

Step-by-step explanation:

first, we turn them into improper fractions

[tex]3 \frac{ + 3}{ \times 4} \div 2 \frac{ + 5}{ \times 8} [/tex]

First, we multiply 3×4=12+3=15 the demoninator will remain the same.

2×8=16+5=21, denominator remains the same.

[tex] \frac{15}{4} \div \frac{21}{8} [/tex]

when it comes to division with fractions, you flip the right(direction)fraction then multiply.

[tex] \frac{15}{4} \times \frac{8}{21} [/tex]

15×8=120

4×21=84

[tex] \frac{120}{84} [/tex]

then turn in back into a mixed fraction.

[tex]1 \frac{36}{84} [/tex]

demoninator remains the same, how many times 84 goes into 120, which is once(whole number) and how many is left over (numberator)

What is the Value of 9 in 91486?

Answers

Answer:

Ten thousands place.

9 IS IN THE TEN THOUSANDS PLACE

Benjamin is having a picnic at his house. He plans to make burgers for each of his guests. He uses 4 ounces of ground beef for each burger. How many pounds of ground beef does bengimen need to buy to make 24 burgers

Answers

There are 16 ounces in 1 pound that should help

Who can help me out please???

Answers

Answer:

10

Step-by-step explanation:

sqrt (8^2+6^2) = 10

hope it helps

( 16.9 - 5.47 ) x 7.09 plzz i want with full solution

Answers

Answer:

81.03

Step-by-step explanation:

(16.9-5.47)×7.09

(11.43)×7.09

81.0387

OR

81.03

HOPE THIS HELPS YOU

1.draw a scatter plot that shows a positive, linear association and has one clear outlier. Circle the outlier
2.Draw a scatter plot that shows a negative association that is not linear.


PLS HURRY WILL GIVE BRAINLEST

Answers

Step-by-step explanation:

Here is the correct answer.See the pic

Ps:Can I be the brainliest.Thx

The grouping of data  or sample points is a component of the machine learning process known as clustering.

What is Clustering?

The task of arranging a set of objects into an identical group in a way that makes them more similar to one another than those found in different groups is known as cluster analysis or clustering.

here, we have,

A scatter plot is an unique type of plot or mathematical diagram that displays data for usually 2 parameters for a collection of data. It uses Cartesian coordinates.

Coordinates, it is a set or group of values that show an exact or accurate position.

Hence, The grouping of data  or sample points is a component of the machine learning process known as clustering.

To learn more about Clustering, visit:

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Can someone please help me without any links or guessing? I’m putting a lot of points into this one so if you could just help me that would be very much appreciated!

Justin made a large kite consisting of one parallelogram and two identical triangles, as shown below. What is the area of Justin's kite?

A) 14 ft sq
B) 20 ft sq
C) 28ft sq
D) 40ft sq

Answers

Answer:

C

Step-by-step explanation:

this is the question for

Answers

The answer is choice b

PLS HELP QUICK, I HAVE A TEST, more points

Answers

Answer:

Options (1), (3), (5) and (6)

Step-by-step explanation:

Option (1)

Both the circles M and H are same in shape. Therefore, both are similar.

True

Option (2)

MH = MS = [Radii of a circle]

MH = MO + OH

MH = ME + OH [Since, MO = ME]

MH = 10 + 25 = 35 cm

Area of circle M = πr²

                          = π(35)²

                          = 1225π

Area of circle H = π(25)²

                           = 625π

[tex]\frac{\text{Area of M}}{\text{Area of H}}=\frac{1225\pi }{625\pi }[/tex]

Area of M = 1.96(Area of H)

False

Option 3

OH + MS = 25 + 35

               = 60 cm

True

Option 4

m∠HMS = 90°

Can't be figured out with the given informations

False

Option 5

Diameter of circle H = 2(radius)

                                 = 2(25)

                                 = 50 cm

True

Option 6

Circumference of circle S = 2πr

                                           = 2π(ES)

Circumference of circle M = 2π(MS)

Ratio of the circumference of circle S and M = [tex]\frac{2\pi (ES)}{2\pi (MS)}[/tex]

                                                                          = [tex]\frac{ES}{MS}[/tex]

True.

Options (1), (3), (5) and (6) are correct.                    

PLEASE HELP FAST

If the area is 1,180 square inches, find the correct values for r, width
and length from the list in your right.

Answers

the formula for the area of a rectangle is (length × width) in this case  (length × width) = 42

if the length is 7... then what # times 7 = 42? The width has to 6.

 

to find the perimeter... (2 × length ) + (2 × width) = Perimeter

OR

length + length + width + width = perimeter

7 + 7 + 6 + 6 = ?

Th answer: 26 inches

ramon has 6.75 kg coffee. he wants 0.25 kg bags. how many bags does he need?

Answers

Answer:

Ramon would need 27 bags

Step-by-step explanation:

This is because if you divide 6.75 by 0.25 you would get 27

Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.

To determine the number of 0.25 kg bags Ramon needs for his 6.75 kg coffee, we divide the total weight of the coffee by the weight of each bag.

Total weight of coffee = 6.75 kg

Weight of each bag = 0.25 kg

Number of bags = Total weight of coffee / Weight of each bag

Number of bags = 6.75 kg / 0.25 kg

Calculating this division, we find:

Number of bags = 27

Therefore, Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.

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HELP ME PLEASE!!,I WILL GIVE BRAINLIEST!!

Answers

Answer:

D

Step-by-step explanation:

The answer is correct and cannot be simplified any further. Can I get that brainliest thay you promised me last time?

Hope this helps

Answer:

The Answer is D!

Step-by-step explanation:

1. Compute the percent of Mikki's Mathematics score. That is compute P X( 5 60).
Circle your answer below
(a) P X( <= 60 78.81%) |
(b)P X( <= 60 34.46%)
©PX( 1= 6
= 60 88.49%)
a) P X( 3 = 60 50%)
(e) P X( 5 = 60 95.54%)

Answers

Answer:

sorry kid idontknow

Step-by-step explanation:

HELP, what do I put in the 3 boxes below?

Answers

for the first box u r gonna look at y2 and y1 and simply subtract them
5 - 9 = -4

for the second box ur gonna subtract x2 - x 1
-3 - -10 = -7

for the third box u r gonna divide the answers u got in the previous two boxes
-4 / -7 = 4 / 7

What is the sum of the interior angles of the polygon?

Answers

Answer:

180

Step-by-step explanation:

because im always right

Answer:

180 degrees

Step-by-step explanation:

All triangles have an interior angle sum of 180 degrees.

The ratio of men to women working for a company is 5 to 8 . If there are 273 employees total, how many women work for the company?

Answers

Answer:

110 women, see below for explanation. (hope this helps)

Step-by-step explanation:

3 to 5

3x + 5x = 176

8x = 176

x = 176/8

x = 22

3*22 = 66 men

5*22 = 110 women

how do I write the equation of the parabola in intercept form​

Answers

Answer:

The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].

Step-by-step explanation:

The equation of the parabola in intercept form is defined by following formula:

[tex]y = a\cdot (x-r_{1})\cdot (x-r_{2})[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a[/tex] - Vertex constant.

[tex]r_{1}, r_{2}[/tex] - Intercepts of the parabola.

According to the graph, we find that intercepts are 0 and 4, respectively, and a point in the parabola is [tex](x,y) = (3, 2.25)[/tex]. If we know that [tex]r_{1} = 0[/tex], [tex]r_{2} = 4[/tex] and [tex](x,y) = (3, 2.25)[/tex], then the vertex constant is:

[tex]a = \frac{y}{(x-r_{1})\cdot (x-r_{2})}[/tex]

[tex]a = -\frac{3}{4}[/tex]

The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].

When Frank buys three packs of pens, he knows he has 36 pens. When he buys five packs, he knows he has 60 pens. What is the constant of proportionality between the numbers of packs and the number of pens?

Answers

Answer:

just add

Step-by-step explanation:

96

help please! Use the area to find the value of x:

Answers

Answer:

x = 6

Step-by-step explanation:

A = 1/2bh

36 = 1/2(12)(x)

x = 6

what is the missing length?

Answers

7.9^2 + 8.5^2= sqrt 134.66 = 11.60 ft

What is the next number in this sequence? 2,   16,   128,   1024,   ___________
Explain what you did to get your answer.

Answers

just multiply by 8 each time hope this helps :)))
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