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Crazy boy [7]
2 years ago
6

Which is a perfect square? 6 Superscript 1 6 squared 6 cubed 6 Superscript 5 Mark

Mathematics
2 answers:
Debora [2.8K]2 years ago
7 0

Answer:

B

Step-by-step explanation:

Mazyrski [523]2 years ago
3 0

Answer:

6^2

Step-by-step explanation:

The square root of a perfect square is a rational number.

So let us take the square root of each number to see which is a rational number.

\sqrt{6^1}=\sqrt{6}......irrational

\sqrt{6^2}=6......rational

\sqrt{6^3}=6\sqrt{6}.........irrational

\sqrt{6^5}=36 \sqrt{6}irrational.

Therefore 6^2 is a perfect square

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Which of the following is an example of a null hypothesis? A. The average quantity of detergent put into a box by this filling m
gavmur [86]

Answer:

C

Step-by-step explanation:

Null hypothesis: hypthesis to test that there is no significant difference between the specific characteristic of a population. Analysts look to reject a null hypothesis

A. the shipping company's average delivery time is different from 3 days. This is an example of alternative hypothesis. Null hypothesis is writtien as a claim

B. This again is an example of alternate hypthesis. The claim that mean is 0.03 is rejected with the results

C. This is a claim

D. This is rejection of a claim that mean is 1 pound

E. This is rejection of claim that average delivery time is 3 days.

5 0
2 years ago
The picture below shows a box sliding down a ramp:
Gennadij [26K]

Answer:

AC=15.1\ ft

Step-by-step explanation:

we know that

In the right triangle ABC

The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC

so

sin(68\°)=\frac{AB}{AC}

substitute the values and solve for AC

sin(68\°)=\frac{14}{AC}

AC=\frac{14}{sin(68\°)}

AC=15.1\ ft

4 0
2 years ago
The $120 repair bill included $36 for parts and rest for labor. What percent of the bill was for labor?​
Bogdan [553]

Answer:

30%

Step-by-step explanation:

3 0
2 years ago
A sample of 1714 cultures from individuals in Florida diagnosed with a strep infection was tested for resistance to the antibiot
Damm [24]

Answer:

a) p represent the real population proportion of people who showed partial or complete resistance to the antibiotic

b) \hat p=\frac{973}{1714}=0.568 represent the estimated proportion of people who showed partial or complete resistance to the antibiotic

c) We are confident (95%) that the true proportion of individuals in Florida diagnosed with a strep infection was tested for resistance to the antibiotic penicillin present partial or complete resistance to the antibiotic is between 54.5% to 59.1%.  

Step-by-step explanation:

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".

Part a

Description in words of the parameter p

p represent the real population proportion of people who showed partial or complete resistance to the antibiotic

\hat p represent the estimated proportion of people who showed partial or complete resistance to the antibiotic

n=1714 is the sample size required

z_{\alpha/2} represent the critical value for the margin of error

The population proportion have the following distribution  

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

Part b

Numerical estimate for p

In order to estimate a proportion we use this formula:

\hat p =\frac{X}{n} where X represent the number of people with a characteristic and n the total sample size selected.

\hat p=\frac{973}{1714}=0.568 represent the estimated proportion of people who showed partial or complete resistance to the antibiotic

Part c

The confidence interval for a proportion is given by this formula

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

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

And replacing into the confidence interval formula we got:

0.568 - 1.96 \sqrt{\frac{0.568(1-0.568)}{1714}}=0.545

0.568 + 1.96 \sqrt{\frac{0.56(1-0.56)}{1714}}=0.591

And the 95% confidence interval would be given (0.545;0.591).

We are confident that about 54.5% to 59.1% of individuals in Florida diagnosed with a strep infection was tested for resistance to the antibiotic penicillin present partial or complete resistance to the antibiotic.  

5 0
2 years ago
If the screws that are 4/8 of an inch are laid end to end touching each other how far would the row extend?
Irina18 [472]
Idk because you did not say yes you did how many sides there were
8 0
2 years ago
Read 2 more answers
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