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Harman [31]
3 years ago
8

You skate at a rate of 12 feet per second. Your friend skates at a rate of 10 feet per seconds and has a head start of 20 feet.

A. How long will it take you to catch Your friend
Mathematics
1 answer:
sesenic [268]3 years ago
3 0

Answer:

Correct answer:  t = 10 seconds

Step-by-step explanation:

Given:

V₁ = 12 ft/s , V₂ = 10 ft/s  initial distance d = 20 ft

To the moment  he catches his friend the first skater will have crossed the distance d₁ and the second d₂.

d₁ = d + d₂

d₁ = V₁ · t

d₂ = V₂ · t

when we substitute this into the initial formula we get:

V₁ · t = d + V₂ · t ⇒ d = V₁ · t - V₂ · t  ⇒ d = t (V₁ - V₂) ⇒ t = d / (V₁ - V₂)

t = d / (V₁ - V₂) = 20 / (12 - 10) = 20 / 2 = 10 seconds

t = 10 seconds

God is with you!!!

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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
The difference of twice a number and 5 is 3.
Elan Coil [88]
Option C is the right way to solve the equation.
6 0
3 years ago
Arthur bought a life insurance policy at $10.98 per month for a 20 year term. What will he pay over 20 years for the premium?
andre [41]
12(months) x 20 (years) = 240

10.98 x 240 = 2635.20

So Arthur will pay $2635.20 over 20 years for premium.

I hope this helps :)
5 0
2 years ago
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Gilyann got a new puppy for her birthday. She went to the pet store to buy what she needed for the puppy: a food dish for $7.95,
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Answer:

76.48

Step-by-step explanation:

5 0
3 years ago
There are 1,200 people at the beach. If 88% of them went in the water, how many people DID NOT go in the water?
kiruha [24]

Answer:

144 people

Step-by-step explanation:

88% = 0.88

We multiply the total number with 0.88 to see how many people went in the water:

1200(0.88) = 1056

To find the number of those who did NOT go in the water, we subtract the product from the total number:

1200 - 1056 = 144

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3 years ago
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