A student was studying the relationship between how much money students spend on food and on entertainment per week. Based on a sample size of 270, he calculated a correlation coefficient (r) of .013 for these two variables. Which of the following is an an appropriate interpretation?

a. This low correlation of .013 indicates there is no relationship.
b. There is no linear relationship but there may be a nonlinear relationship.
c. This correlation indicates there is some type of linear relationship.

the prime factorization of 140 is 2^2 x 5 x 7

the prime factorization of 80 is 2^3 x 5 x 2

Solution :

Given that :

Height of the cylinder, h = 21 cm

Diameter of the cylinder, d = 7 cm

Radius = 3.5 cm

Number of balls fits in the cylindrical container = 3

a). The volume of the container is given by

     [tex]$V = \pi r^2 h$[/tex]

         = 3.14 x 3.5 x 3.5 x 21

         = 807.76 cm cube

b). Volume of each tennis ball is given by :

     [tex]$V=\frac{4}{3}\pi r^3 $[/tex]

    [tex]$V=\frac{4}{3}\times 3.14 \times (3.5)^3 $[/tex]

       =  179.50 cm cube

c). Volume of three tennis balls = 3 x 179.50

                                                    = 538.50 cm cube

    Therefore, percentage of the container taken up by the three tennis ball is :

[tex]$=\frac{807.76 - 538.50}{538.50} \times 100$[/tex]

= 50 %

Answer:

3+5=5+3

Step-by-step explanation:

a+b=b+a

comunitive property

Answer:

3+5 = 5+3

Step-by-step explanation:

Communative Property states that the numbers on which we operate         (the numbers you use to do addition and multiplication) can be moved or swapped from their position without making any difference to the answer. In your awnser it dosen't matter if you were to swich around the 5 and 3. You would still get the same awnser.

Answer:

Step-by-step explanation:

if you need 4 h to complete a trip of 200 miles

200/4=50 miles/hour

Answer:

y = 3/2x + -14

Step-by-step explanation:

y = -2/3 x

has a slope of -2/3

We want a line perpendicular

Take the negative reciprocal to find the slope

- (1 / -2/3)

3/2

The slope of a line perpendicular is 3/2

Using the slope intercept form of a line

y = mx+b  where m is the slope and b is the y intercept

y = 3/2x +b

Substitute a point into the equation

-8 = 3/2(4) +b

-8= 6+b

Subtract 6 from each side

-8-6 = b

y = 3/2x + -14

Answer:

360 ft^3

Step-by-step explanation:

plz brainliestt

Answer:

thanks for the oints

Step-by-step explanation:

Answer:

Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

Step-by-step explanation:

look at the attachment.

Answer:

D.) 0.075

Step-by-step explanation:

Answer:

C on Edg

Step-by-step explanation:

<3

Answer:

x=29/90 or 0.3222222

Step-by-step explanation:

ok, rewrite the question as a ratio

18/0.29=20/x, cross multiply

18x=.29*20, evaluate x

18x=5.8

x=29/90 or 0.3222222

29

Step-by-step explanation:

29/90

Answer:

I think it is ether-1 or o,5

Answer:

Did you got the answers for this whole I need them please

Answer:

D

Step-by-step explanation:

Answer:

[tex]a.\: \frac{1}{12}[/tex]

Step-by-step explanation:

The probability he will roll an odd number on the first roll is [tex]\frac{1}{2}[/tex] as there are three odd numbers and three even numbers on a fair six-sided dice.

The probability he will roll the number 4 on the second roll is [tex]\frac{1}{6}[/tex] as out of the six numbers, only one is the number 4.

Therefore the probability of both happening is [tex]\frac{1}{2}\cdot \frac{1}{6}=\fbox{$a.\: \frac{1}{12}$}[/tex].

Answer:

360 km

Step-by-step explanation:

Let stream speed = x

Speed of water = 3km/hr

Therefore,

Upstream speed = (x - 3) km/hr

Downstream speed = (x + 3) km/hr

Time taken downstream = 15 hours

Time taken upstream = 20 hours

Recall:

Distance = speed * time

Upstream Distance = downstream distance

20(x - 3) = 15(x + 3)

20x - 60 = 15x + 45

20x - 15x = 45 + 60

5x = 105

x = 105 / 5

x = 21

Upstream speed = (21 - 3) = 18

Distance between the two towns :

18 * 20 = 360 km

Answer: 11y+14

Step-by-step explanation:

Answer:

36pi

Step-by-step explanation:

Volume formula = 4/3 × pi × r^3

Answer/Step-by-step explanation:

Recall: if two figures are similar, we know that the ratio of their areas = the square of the ratio of their corresponding sides

Apply this knowledge to solve the problems given.

✔️Problem 1 (4-sided polygon):

Let the missing area be x cm²

Therefore,

[tex] \frac{x}{9} = \frac{8^2}{4^2} [/tex]

[tex] \frac{x}{9} = \frac{64}{16} [/tex]

[tex] \frac{x}{9} = 4 [/tex]

Multiply both sides by 9

x = 9*4

x = 36 cm²

✔️Problem 2 (3-sided polygon):

Let the missing area be y cm²

Therefore,

[tex] \frac{y}{240} = \frac{8^2}{32^2} [/tex]

[tex] \frac{y}{240} = \frac{64}{1,024} [/tex]

[tex] \frac{y}{240} = \frac{1}{16} [/tex]

Multiply both sides by 240

y = ¹/16 × 240

y = 15 cm²

✔️Problem 3 (5-sided polygon):

Let the missing area be z cm²

Therefore,

[tex] \frac{z}{40} = \frac{3^2}{2^2} [/tex]

[tex] \frac{z}{40} = \frac{9}{4} [/tex]

Multiply both sides by 40

[tex] z = \frac{9}{4} * 40 [/tex]

[tex] z = \frac{9}{1} * 10 [/tex]

z = 90 cm²

Answer:

10/10

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28

If you need more help, you can comment! :)

Step-by-step explanation:

lenght = x + 8

width = x

[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]

then

Lenght = x + 8 = 20 + 8 = 28

Width = x = 20

Step-by-step explanation:

L=8+2W

P=2L+2W

P=2(8+2W)+2W

P=16+4W+2W

P=16+6W

P=96

96=16-6W

80=6W

W=13.3333

Hey there!

• A.

–5 + 7 – 2 = ?

–5 + 7 = 2

2 – 2 = 0

Answer: 0 ☑️

• B.

–4 * 3 = ?

“Guide”

• Negative & Negative = Positive

• Positive & Positive = Positive

• Negative & Positive = Negative

• Positive & Negative = Negative

• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!

–4 * 3 = –12

Answer: –12 ☑️

• C.

3.5 + 4.5 = ?

5 + 5 = 10

• CARRY your 1

3 + 4 + 1 = ?

3 + 4 = 7

7 + 1 = ?

Answer: 8 ☑️

You basically had to do ORDER OF OPERATIONS / PEMDAS

(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

its elastic i got it correct trust me also put brainliet plz

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer is B

Answer:

The answer is B

Step-by-step explanation:

BBBBBBBBBBBBBBBBBBBBBBBBBB IS THE ANSWER

Answer:

The house is 18.75 feet tall

Step-by-step explanation:

The triangles are similar by the AA postulate.  

We are given the length of the bottom sides of the triangles, 4 and 15 respectively.  

Thus, the ratio is 4:15

We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.

[tex]\frac{4}{15} = \frac{5}{x} \\4x = (5*15) = 75\\x = \frac{74}{4} \\x = 18.75[/tex]

Thus, the house is 18.75 feet tall.

Answer:

[tex]\overline{SR}\sim \overline{NM}[/tex]

Step-by-step explanation:

In similar triangles, all corresponding sides are similar. Since [tex]SR[/tex] corresponds with [tex]NM[/tex], they are similar. None of the other answer choices use corresponding sides.