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3 years ago

Please help!!! i’m having trouble with this one

Mathematics

1 answer:

Elodia [21]3 years ago

5 0

Step-by-step explanation:

17x 8.50 = 144.50

9x 5.50= 49.50

144.50+49.50= 194

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A college student organization wants to start a nightclub for students under the age of 21. To assess support for this proposal,

eduard

Answer:

a) Sample size = 822

b) Margin of error = 0.03407

Step-by-step explanation:

We are given the following in the question:

p = 74% = 0.74

a) Sample size is required to obtain margin of error of 0.03

Formula:

$\text{Margin of error} = z_{\text{statistic}}\times \sqrt{\dfrac{p(1-p)}{n}}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$0.03 = 1.96\times \sqrt{\dfrac{0.74(1-0.74)}{n}}\\\\n = (\dfrac{1.96}{0.03})^2(0.74)(1-0.74)\\\\n = 821.24 \approx 822$

Thus, the sample size must be approximately 822 to obtain a 95% confidence interval with an approximate margin of error of 0.03

b) Margin of error for the 95% confidence interval

p = 54% = 0.54

Formula:

$\text{Margin of error} = z_{\text{statistic}}\times \sqrt{\dfrac{p(1-p)}{n}}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$\text{Margin of error} = 1.96\times \sqrt{\dfrac{0.54(1-0.54)}{822}}\\\\=0.03407$

The margin of error now will be 0.03407.

5 0

4 years ago

John has a sink that is shaped like a half-sphere. The sink has a volume of 1072 in?. One

hodyreva [135]

Answer:

Anthony must scoop out of the sink 85 cups of water to empty it

Step-by-step explanation:

The formula of the volume of a sphere is  $V=\frac{4}{3}\pi r^{3}$  , where r is its radius

The formula of the volume of a cylinder is V = πr²h, where r is the radius of its base and h is its height

∵ The sink is shaped like a half-sphere

∵ The sink has a volume of 1072 in³

∵ One cup has a diameter of 2 in

- The radius is half the diameter

∴ The radius of the cup = $\frac{1}{2}$ × 2 = 1 in.

∵ The height of the cup is 4 in

- Find the volume of the cup using the 2nd formula above

∴ V = π(1)²(4) = 4π in³

To find the number of cups that Anthony use to scoop out of the sink to empty it divide the volume of the sink by the volume of the cup

∵ The volume of the sink = 1072 in³

∵ The volume of the cup = 4π in³

∴ The number of the cups = 1072 ÷ 4π

∴ The number of the cups = 85.3070495

- Round it to the nearest whole number

∴ The number of cups is 85

Anthony must scoop out of the sink 85 cups of water to empty it

8 0

4 years ago

Help im stuck on this problem

kotykmax [81]

Answer:

${ \bf{m \angle A}} = { \bf{180 \degree -48 \degree }} \\ { \tt{m \angle A = 132 \degree}}$

6 0

3 years ago

A company makes wax candles shaped like a rectangular prism each candle is 5cm long 2cm wide and 12cm tall if the company used 5

sveta [45]

Answer:

42 candles

Step-by-step explanation:

Firstly, we need to find the surface area of the pyramid used. This can be obtained by finding the area of the base, multiplied by the height of the pyramid.

The area of the base since it is rectangle is L * B and that is 5 * 2 = 10cm.sqr

The volume of the pyramid is A * h and that is 10 * 12 = 120cm.cub

To fInd the number of candles used , we simply divide the volume of wax by the volume of a candle.

That is 5040/120 = 42 candles

6 0

4 years ago

5th grade math. correct answer will be marked brainliest

soldi70 [24.7K]

Answer:

4 pieces 1/3 of a yard left over

5 0

3 years ago