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poizon [28]
3 years ago
7

The most common shape for cylindrical container in which the height and the diameter are equal.

Mathematics
2 answers:
nevsk [136]3 years ago
8 0

Answer:

a) total surface area= 2πr (r+h)

b) volume= πr^2h

Step-by-step explanation:

Jobisdone [24]3 years ago
7 0

Answer:

A

Step-by-step explanation:

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Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog
lara31 [8.8K]

Answer:

SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048

If we replace the values obtained we got:

0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257

0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443

The 95% confidence interval would be given by (0.257;0.443)

Step-by-step explanation:

Notation and definitions

X=35 number of people that agree.

n=100 random sample taken

\hat p=\frac{35}{100}=0.35 estimated proportion of people that agree

p true population proportion of peopl that agree

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The standard error is given by:

SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048

If we replace the values obtained we got:

0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257

0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443

The 95% confidence interval would be given by (0.257;0.443)

6 0
3 years ago
Read 2 more answers
A hot air balloon travels 18miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4hour?
Nikolay [14]

Answer:

4,5 miles

Step-by-step explanation:

In 1 hour:    18/3 = 6 miles

6 . 3/4 = 18/4 = 4,5 miles

3 0
3 years ago
Image attached on the bottom
julia-pushkina [17]

Answer:

c

Step-by-step explanation:

i just took it

5 0
3 years ago
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Mrs James is a boutique owner who recently started selling Over-The-Knee boots. She buys them from her supplier for $300 per set
Lelechka [254]

Answer: $39.60

Step-by-step explanation:

300/10 for one pair of boots is $30

30/100=x/132

x is the selling price

Cross multiply: 100x=3960

Divide: x=39.60

3 0
2 years ago
Read 2 more answers
In the triangle shown, B=60 and AC=9√3 how long is AB answer exactly, use a radical if needed
zavuch27 [327]

Length of AB is 18

Step-by-step explanation:

  • Step 1: Find length of AB when AC = 9√3 and ∠B = 60°. Use trigonometric ratio sine.

sin 60 = opposite side/hypotenuse = 9√3/x

x = 9√3/sin 60

   = 9√3/√3/2 = 9√3 × 2/√3 (∵ a ÷ b = a×1/b)

   = 18

5 0
3 years ago
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