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eduard
3 years ago
6

Kyle swann 450 yards in 5 minutes. What is the average number of yards he swam per minute show the work

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

\frac{450 (yards)}{5 (minutes)} = \frac{90 (yards)}{1 (minute)} = 90 yards per minute

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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that n = 533, \pi = \frac{351}{533} = 0.6585

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

6 0
3 years ago
Consider the following system of equations:
IrinaK [193]

Answer:

x = 6 ; y = -9

Step-by-step explanation:

8 x + 2 y = 30  ..........equ No 1

7 x + 2 y = 24......... equ No 2

8 x = 30 - 2y

∴ x =\frac{ 30 - 2 y}{8}

substituting the value of x in equ No 2

7 \frac{30 - 2 y}{8} + 2 y = 24

7 ( 30 -2 y) + 2 y × 8 = 24 × 8

7 × 30 - 14 y + 16 y = 192

210 + 2 y = 192

2 y = 192 - 210

2 y = - 18

∴ y = - 9

put y = -9 , 8 x = 30 - 2 y

        8 x = 30 - 2 ( -9)

    8 x = 30 - ( -18)

  8 x = 48

∴ x = 6

x = 6 ; y = -9

3 0
3 years ago
The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of
EastWind [94]
If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² =  3n³ + 13n² + 16n + 4 / <span>3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
</span>s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4

Therefore, the area of the square base is <span>n² + 4n + 4.</span>
8 0
3 years ago
What’s the answer to this? 4x-4=4x is it infinitive solution?
emmasim [6.3K]

Answer:

16 ?

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Della by tree seedling that was 2 1/4 feet tall during the first year it grew 1 1/6 ft after two years it was 5 ft tall how much
jasenka [17]
<h2>Greetings!</h2>

Answer:

\frac{19}{12} feet

Step-by-step explanation:

First, we need to find the height after one year:

2.25 + 1 1/6 = \frac{41}{12}

Now to find the amount in the second year, we can subtract the above amount from 5:

5 - \frac{41}{12} = \frac{19}{12}

So in the second year it grew \frac{19}{12} feet


<h2>Hope this helps!</h2>
8 0
3 years ago
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