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givi [52]
3 years ago
8

At the last basketball game ,12 out of the first 48 people who entered the stands were wearing a coat. if this sample is represe

ntative of the 200 people attending the game , about how many are wearing a coat?
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0

Answer: attending the game

Step-by-step explanation:

Given: 12 out of the first 48 people who entered the stands were wearing a coat.

That means, Proportion of people wearing coat = \dfrac{12}{48}=\dfrac{1}{4}  (People wearing coat divided by Total people)

Total people in the sample attending the game= 200

Number of people wearing a coat = 200\times\dfrac14

=50

Hence, 50 people are wearing a coat.

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faust18 [17]
According to the euclidean triangle theorem
9 = z² / 13
z² = 9 x 13 = 117
z = 3 √13
3 0
3 years ago
What Fraction Of The Wall Did Kevin Paint?
Mila [183]

Kevin painted \frac{1}{9} of the wall.

Solution:

Fraction of the wall painted by Elena = \frac{5}{9}

Fraction of the wall painted by Matthew = \frac{3}{9}

Fraction of the wall painted by Kevin = ?

Full wall can be taken as 1.

<u>To find the wall painted by Kevin:</u>

Rest of the wall = Full wall – painted by Elena – Painted by Matthew

                          $=1-\frac{5}{9}-\frac{3}{9}

                          $=\frac{1}{1} -\frac{5}{9}-\frac{3}{9}

To make the denominator same, multiply the numerator and denominator of the first term by 9.

                          $=\frac{9}{9} -\frac{5}{9}-\frac{3}{9}

                          $=\frac{9-5-3}{9}

                          $=\frac{1}{9}

Rest of the wall = \frac{1}{9}

Hence the kevin painted \frac{1}{9} of the wall.

6 0
3 years ago
What is the area of a gameboard if it is 9 1/2 inches by 11 3/4 inches
Reil [10]
You just need to multiply 9 1/2 by 11 3/4. simplify these into decimals: 9.5 and 11.75

Then do 9.5*11.75=111.625
4 0
4 years ago
According to Scarborough Research, more than 85% of working adults commute by car. Of all U.S. cities, Washington, D.C., and New
tamaranim1 [39]

Answer:

The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

Here the population standard deviation (σ) is not provided. So the confidence interval would be computed using the <em>t</em>-distribution.

The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) using the <em>t</em>-distribution is:

CI=\bar x\pm t_{\alpha /2,(n-1)}\frac{s}{\sqrt{n}}

Given:

\bar x=27.97\\s=10.04\\n=25\\t_{\alpha /2, (n-1)}=t_{0.01/2, (25-1)}=t_{0.005, 24}=2.797

*Use the <em>t</em>-table for the critical value.

Compute the 99% confidence interval as follows:

CI=27.97\pm 2.797\times\frac{10.04}{\sqrt{25}}\\=27.97\pm5.616\\=(22.354, 33.586)\\\approx(22.35, 33.59)

Thus, the 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).

8 0
3 years ago
Crystal can ride her bike 200 meters in 20 seconds what is her velocity
soldi70 [24.7K]

Answer:

10m/s

Step-by-step explanation:

The answer should be 10m/s. Hope it helps!

5 0
3 years ago
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