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tensa zangetsu [6.8K]
3 years ago
10

A square that is 10cm on a side contains a circle that touches the inside the square?

Mathematics
1 answer:
omeli [17]3 years ago
8 0
Hello,

Area of the square= 10²=100
Area of the circle= π*5²=25π
Area seached= 100-25*π=21,46018...(cm²)
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A rectangular prism has a volume 144 centimeters. The base is a square with a length of 4 cm. What is the height of the prism?
Vitek1552 [10]
The volume is the product of the height and the area of the base.
  V = Bh
The area of the square base is (4 cm)² = 16 cm², so the height can be found from
  144 cm³ = (16 cm²)h
  h = (144 cm³)/(16 cm² = 9 cm

The height of the prism is 9 cm.
6 0
3 years ago
When using statistics in a speech, you should usually Group of answer choices manipulate the statistics to make your point. cite
NARA [144]

Answer:

Avoid Using too many statistics

Step-by-step explanation:

when a speaker is giving a speech, the listeners prefer main points to hearing too much of statistics. Too many statistics bore the audience and sometimes divert their attentions from the crux of the speech. If statistics are to be given, they must be clearly expressed and the source should be clearly stated.

Numbers that are of large decimal points can be rounded off so as not to confuse the audience and to make them grasp the main idea.

3 0
3 years ago
Suppose the standard deviation of a normal population is known to be 3, and H0 asserts that the mean is equal to 12. A random sa
blagie [28]

Answer:

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

p_v =P(z>1.9)=0.0287  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=12.95 represent the sample mean

\sigma=3 represent the population standard deviation for the sample  

n=36 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 12, the system of hypothesis would be:  

Null hypothesis:\mu \leq 12  

Alternative hypothesis:\mu > 12  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

P-value  

Since is a right tailed test the p value would be:  

p_v =P(z>1.9)=0.0287  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

4 0
3 years ago
Read 2 more answers
John is paid 5% commission on the value of photocopiers he sells. Last week he sold $24,000 worth of copiers. He decided to inve
allsm [11]

Answer:

5040

Step-by-step explanation:

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1200+5%=1260

1260x4=5040

3 0
3 years ago
Angles 8th grade math
fiasKO [112]
Yeah... I'm normal good at angles, but the way you've taken the picture, it's pretty hard for us to figure out. All you need to do is grab you protractor and start measuring. Pretty simple.<span />
7 0
3 years ago
Read 2 more answers
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