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Dafna1 [17]
3 years ago
5

Toby went in for his annual physical and found out that he had doubled his weight from two years ago when he weighed a third of

his moms weight. Since then his mom has gained 26 pounds and now weighs 149 pounds. How much does Toby currently weigh?
Mathematics
1 answer:
sasho [114]3 years ago
5 0
Toby now weighs 82 pounds
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son4ous [18]

Answer:

a) 0.23

b) The 95% confidence interval for the population proportion is (0.1717, 0.2883).

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 zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Point estimate

The point estimate is:

\pi = \frac{46}{200} = 0.23

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.23 - 1.96\sqrt{\frac{0.23*0.77}{200}} = 0.1717

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.23 + 1.96\sqrt{\frac{0.23*0.77}{200}} = 0.2883

The 95% confidence interval for the population proportion is (0.1717, 0.2883).

5 0
3 years ago
A coin is tossed $9$ times, and at least $7$ of the tosses were heads. How many different sequences of tosses could there have b
Dimas [21]
I don’t even kno buh I can guess
8 0
3 years ago
if a line passes through the point (-2,3) and has a slope of 1/5, what would be the point-slope form?
Dmitry_Shevchenko [17]

Answer:

y-3=1/5(x+2)

Step-by-step explanation:

y-3=1/5(x--2)

the negatives cancel out making it

y-3=1/5(x+2)

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The savings account at Frost bank earns 3% simple interest each year. if Juliet invest $1200 in a savings account at Frost bank
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I=prt
I=1200x0.03x4

She would make $144
8 0
3 years ago
Joel borrowed $1,512. He was to pay that amount back along with an additional 9% interest. He could only pay back 82% of what he
vodka [1.7K]

Answer:

  • $1351.43

Step-by-step explanation:

<u>The amount to pay:</u>

  • $1512 + 9% =
  • $1512*1.09 =
  • $1648.08

<u>The amount paid back:</u>

  • 82% of $1648.08 =
  • 0.82*1648.08 =
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