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liq [111]
3 years ago
9

Suppose y varies directly with x, and y = 15 when x = 3. What is y when x = 12?

Mathematics
1 answer:
sveticcg [70]3 years ago
5 0

Answer:

y = 60 when x = 12

Step-by-step explanation:

Direct variation is

y = kx

15 = k3

Divide by 3

15/3 = k

5 =k

y = 5x

Let x = 12

y = 5*12

y = 60

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A particular group of men have heights with a mean of 174 cm and a standard deviation of 6 cm. Earl had a height of 192 cm. a. W
Sati [7]

Answer:

a) 18 cm

b) 18

c) 3

The Earl's height is unusual because the  z score does not lies in the given range of usual i.e -2 and 2

Step-by-step explanation:

Given:

Mean height, μ = 174 cm

Standard deviation = 6 cm

height of Earl, x = 192 cm

a) The positive difference between Earl height and the mean = x - μ

= 192 - 174 = 18 cm

b) standard deviations is 18

c) Now,

the z score is calculated as:

z=\frac{x-\mu}{\sigma}

or

z=\frac{192-174}{6}

or

z = 3

The Earl's height is unusual because the  z score does not lies in the given range of usual i.e -2 and 2

5 0
3 years ago
Use the formula to find the length of the radius if the area is 25 square centimeters.
Alexandra [31]

Answer:r = 2.81 centimeters

Step-by-step explanation:

The area of this circle can be found using the formula

A=πr^2

Where r = radius of the circle

π is a constant whose value is 3.14

We are given the area of the circle to be 25 square centimeters. To determine the length of the radius of the circle , we will make r the subject of the formula

r^2 = A/π

Taking square root of both sides of the equation,

r = √A/π

Since A = 25 and π = 3.14,

r= √25/3.14

r = 2.82166323992

Approximating to the nearest tenth of a centimeter,

r = 2.81 centimeters

5 0
3 years ago
Please help me ,38 points for 2-7 this is 7th grade 1 step equation word problems
larisa [96]

Answer:

the answer would be the equilibrium of 28.59295

7 0
2 years ago
Read 2 more answers
Help me and I give you points because u like points ;)
ValentinkaMS [17]

Answer:

-1/5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help I'll give you brainliest
PSYCHO15rus [73]

Answer:

Equation 1: No solution

Equation 2: Infinity

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Equation 4: Infinity

Equation 5: No solution

Hope this helps you. Do mark my answer as brainly. Thanks

7 0
3 years ago
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