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Ilya [14]
3 years ago
14

John is saving for his trip to see the alamo he started with $24 in his savings account. every week he earns $15 for babysitting

out of that he spends eight dollars and save the rest john uses the rule add seven to find out how much money he has at the end of each week what are the first eight numbers in the pattern
Mathematics
2 answers:
sashaice [31]3 years ago
8 0

Answer:

Since he started with $24 in his account, on addition of $7 weekly, the first 8 numbers will be 31,38,45,52,59,66,73

Step-by-step explanation:

Opening savings balance = $24

every week he earns $15 for babysitting out of that he spends eight dollars and save the rest hence

Amount saved weekly = 7

To find the first 8 numbers in his pattern, the pattern can be shown using the arithmetic progression formula.

Tₙ = a + (n - 1)d where n is the number of term, d is the common difference and Tₙ is the nth term

In this instance, a =24, d= 7

therefore Tₙ = 24 + (n - 1)7

Tₙ = 17 + 7n

T₁ = 24

T₂ = 17 + 7(2) = 31

T₃ = 17 + 7(3) = 38

T₄ = 17 + 7(4) = 45

T₅ = 17 + 7(5) = 52

T₆ = 17 + 7(6) = 59

T₇ = 17 + 7(7) = 66

T₈ = 17 + 7(8) = 73

T₉ = 17 + 7(9) = 80

The numbers are 31,38,45,52,59,66,73

marta [7]3 years ago
4 0
24, 31, 38, 45, 52, 59, 66, 73, 80
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oksian1 [2.3K]

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<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

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  • z is the critical value.
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In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

n = 864, \pi = \frac{426}{864} = 0.493

Then, the bounds of the interval are given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46

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The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

More can be learned about the z-distribution at brainly.com/question/25890103

4 0
2 years ago
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q = 1 - p = 1 - 75% or 1 - 0.75

To find mean

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For Standard Deviation (SD)

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