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2 years ago

Someone help please and please make sure it’s right :)

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

6 0

Answer:

Step-by-step explanation:

5x + 5 = 4x + 16 ( being alternate angles)

5x - 4x = 16 - 5

x = 11

Hope it will help :)

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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

How do you solve 24=x•30

ollegr [7]

I Tired To Explain It As Best As I Could.

Isolate the variable by dividing each side by factors that don’t contain the variable.

24 = x • 30

Use The Commutative Property To Reorder The Terms

24 = 30x

Swap The Sides Of The Equations

30x = 24

Divide Both Sides Of The Equations By 30

30x ÷ 30 = 24 ÷ 30

Any Expression Divided By Itself Equals 1

x= 24 ÷ 30 or x =24/30

Reduce The Fraction With 6

x = 4/5

Exact Form:

x = 4/5

Decimal Form:

x = 0.8

5 0

3 years ago

If the surface area of a cube is 294, whats the length of the cube?

tatyana61 [14]

Answer:

Step-by-step explanation:

Total number of surfaces of cube are 6.

Each surface is square.

And area of square is (side)^2

That means, total surface area will be 6 * (side)^2

From question,

294 = 6 * (side)^2 ( Surface area given)