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notsponge [240]
3 years ago
12

Martika surfs with her friends at Virginia Beach. Her friend, Mark, caught 8 waves out of 20 possible waves to ride in to shore.

They plan to stay out in the water for 50 more waves. How many of the 50 waves do you predict Mark will catch?
Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

20 waves

Step-by-step explanation:

Out of 50 waves, Mark will catch 20 waves. To find this, first, you have to put it into a ratio.

8        x

---  =  -----

20      50

To solve this, you need to multiply 8 x 50, which is 400. Next you need to divide 400 by 20, which is 20 waves.

This means x = 20 waves.

Hope this helped!! :) If you have any questions, make sure to comment!!

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A square of side lengths 5 cm. find its diagonal length​
kramer

Answer:

7.07107cm

Step-by-step explanation:

d= \sqrt{2} a =\sqrt{2} (5) = 7.07107

5 0
3 years ago
You are planning to invest $5000 in an account earning 9% per year for retirement. a. If you put the $5000 in an account at age
ICE Princess25 [194]

Answer:

A).Amount = $218250

B). Amount = $88700

Step-by-step explanation:

A) .$5000 in an account at age 23, and withdraw it 42 years

Number of years t= 42 years

Principal P = $5000

Rate r= 9%

Number of times compounded n= 42

A= p(1+r/n)^(nt)

A= 5000(1+0.09/42)^(42*42)

A= 5000(1+0.002143)^(1764)

A= 5000(1.002143)^1764

A= 5000(43.65)

A= 218250

Amount = $218250

B).waits 10 years before making the deposit, so that it stays in the account for only 32 years

Number of years t= 32 years

Principal P = $5000

Rate r= 9%

Number of times compounded n= 32

A= p(1+r/n)^(nt)

A= 5000(1+0.09/32)^(32*32)

A= A= 5000(1+0.0028125)^(1024)

A= 5000(1.0028125)^1024

A= 5000(17.74)

A= 88700

Amount = $88700

5 0
3 years ago
What is the value of the tangent of
kiruha [24]

Answer:

Step-by-step explanation:

With reference < H

perpendicular (p) = 12

base (b) = 5

so now

tangent of < H

= p / b

= 12 / 5

hope it helps :)

7 0
3 years ago
Read 2 more answers
Find the directional derivative of g(x, y) = xey − yex , 2x x − y at the point (1, 0) in the direction v = 3i + 4j
salantis [7]

no rurio greob tryo yeu

7 0
3 years ago
Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans
statuscvo [17]

Answer:

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

Step-by-step explanation:

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.  

The confidence interval is given by

CI = \bar{x} + t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\

Where \bar{x} is the mean weight \sigma is the standard deviation t_{\alpha/2} is the critical value from t-table and n is the sample size.

The term t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) is known as margin of error.

As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).

7 0
3 years ago
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