Which equation in slope would you multiply x by on both sides A. X/1=3/Y B. 3Y=X C. X/Y=3/1 D. Y=3X E. Y=1/3X ???????????

The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard

zvonat [6]

Answer:

a) 0.59871

b) 0.22663

e) 0.95994

Step-by-step explanation:

The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches.

We solve using z score

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 65 inches

σ is the population standard deviation = 4 inches

a). Taller than 64 inches

This means x > 64

Hence,

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x<64) = 0.40129

P(x>64) = 1 - P(x<64) = 0.59871

b.) shorter than 62 inches

Hence,

62 - 65/4

=- 3/4 =- 0.75

P-value from Z-Table:

P(x<62) = 0.22663

c.) between 64 inches and 68 inches

Hence,

for 64 inches

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x = 64) = 0.40129

For 68 inches

Hence,

68 - 65/4

= 3/4= 0.75

P-value from Z-Table:

P(x = 68) = 0.77337

d.) between 58 and 68 inches

e.) taller than 58 inches

Hence,

58 - 65/4

= -6/4 = -1.5

P-value from Z-Table:

P(x<58) = 0.040059

P(x>58) = 1 - P(x<58) = 0.95994

7 0

3 years ago

The prism shown in the diagram has a volume of 39 units^3. What is the volume of the pyramid? Explain your reasoning. I WILL GIV

jolli1 [7]

The volume of the pyramid is 13 units³.

<h3>What is the volume of the pyramid?</h3>

A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces. The volume of a pyramid is one-third that of a prism.

Volume of a pyramid = 1/3 x prism

1/3 x 39 = 13

To learn more about rectangle pyramid, please check: brainly.com/question/9222686

#SPJ1

7 0

2 years ago

You ride your bike at an average of 12 miles per hour on the way to school, and at an average of 15 miles per hour on the way ho

-Dominant- [34]

Answer:

2.44 miles

Step-by-step explanation:

Give the following :

Average miles to school = 12 miles per hour

Average Miles from school = 15 miles per hour

Total ride time : ( time to school + time from school) = 22 minutes = (22/60) = 0.3667

Recall:

Speed = distance / Time

Time = distance / speed

Let distance = d

For the scenario described :

d/12 + d/15 = 0.3667

(5d + 4d) / 60 = 0.3667

5d + 4d = 22

9d = 22

d = 22/9

d = 2.44 miles

6 0

3 years ago

The function c ( x ) = 63 ⋅ ( 1.03 ) x models the cost in dollars, c , of 1 ounce of a certain chemical used in a laboratory. x

Fudgin [204]

9514 1404 393

Answer:

$98.15

Step-by-step explanation:

2005 is 15 years after 1990. Using the formula we find ...

c(15) = 63·1.03^15 ≈ 63·1.55797

c(15) ≈ 98.152

An ounce of the chemical costs about $98.15 in 2005.

4 0

3 years ago

Steve made a sign for his room that is shaped like a triangle. It is 4.5 feet long and 3 feet high. He wants to make another sig

Fed [463]

Answer: PART A : $\frac{4.4}{x}$ = $\frac{3}{4}$

PART B : 5.9 FEET

Step-by-step explanation:

Length of the first sign = 4.4 feet

height of the first sign = 3 feet

Length of the second sign = x feet

height of the second sign = 4 feet

If two shapes are similar , then the ratio of their sides are equal,

That is ;

$\frac{h_{1}}{h_{2} }$ = $\frac{L_{1}}{L_{2} }$

PART A

$\frac{4.4}{x}$ = $\frac{3}{4}$

PART B

$\frac{4.4}{x}$ = $\frac{3}{4}$

cross multiplying , we have

3x = 4.4 x 4

3x = 17.6

Divide through by 3

x = 17.6/3

x = 5.86666666666667

x≈ 5.9 feet

Therefore , the length of the new sign is 5.9 feet

6 0

3 years ago