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Alina [70]
3 years ago
6

A boat traveld 27 miles in 2 hours. At this rate ow many miles will the boat travel in .5 hour?

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

You have to ask yourself “how many half hours segments are in 2 hours?” The answer is 4. Now, since you want to find out how many miles the boat can travel in half an hour, divide 27 by 4 (because there are four half hours in 2 hours). 27 divided by 4 equals 6.75. The boat travels 6.75 miles in half an hour.

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If a bake sale is selling 3 cookies for $1.05, what is the price of one cookie?
ElenaW [278]

Answer:  $0.35 which is the same as 35 cents

==========================================

Work Shown:

3 cookies = $1.05

3/3 cookies = $1.05/3

1 cookie = $0.35 = 35 cents

7 0
2 years ago
Read 2 more answers
An obtuse triangle has a side length of $16,$ and a side length of $21.$ The third side length is also a positive integer. How m
Ymorist [56]

Answer:

3

Step-by-step explanation:

3 0
3 years ago
⦁ In a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football. Construct a 95% confiden
fomenos

Answer:

95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

Step-by-step explanation:

We are given that in a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football.

Firstly, the pivotal quantity for 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is given by;

        P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } ~ N(0,1)

where, \hat p = proportion of adults in the United States whose favorite sport to watch is football in a sample of 1219 adults = \frac{354}{1219}

           n = sample of US adults  = 1291

           p = population proportion of adults

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5%

                                                    significance level are -1.96 & 1.96}

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } ) = 0.95

<u>95% confidence interval for p</u> = [ \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } , \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } ]

                         = [ \frac{354}{1219}-1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} } , \frac{354}{1219}+1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} } ]

                         = [0.265 , 0.316]

Therefore, 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

5 0
3 years ago
I am needing to know the answer to 3/7 of what number is 9?
kolezko [41]
In math, "of" almost always means "times".

So your question is:  3/7 times (the number) = 9

Multiply each side of that equation by  7 :   3 times (the number) = 63

Divide each side by 3 :             <em> The number = 21</em>
3 0
3 years ago
Read 2 more answers
Please help me with this i will mark brainliest<br><br><br><br><br>QUICK!!!!!!
Yanka [14]

Answer:

w - 3.3 + -3.3 = 5.6 - 3.3

w = 2.3

3 0
3 years ago
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