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jeka57 [31]
3 years ago
13

What is the square root of 105 rounded to the nearest integer

Mathematics
2 answers:
brilliants [131]3 years ago
8 0

Answer:

11

Step-by-step explanation:

Step 1: find square root of 105

10.246950766  ( i did it with a calculator on google )

Step 2: round to nearest integer

rounds up to 11 ( i don't know how to write that )

Lelechka [254]3 years ago
4 0

Answer:

It is 11.

Step-by-step explanation:

10.246950766 is rounded to 11.

You might be interested in
a national survey conducted among a simple random sample of 1,507 adults shows that 56% of americans think the civil war is stil
soldier1979 [14.2K]

a)

z=4.658\\p_v=P(z > 4.65)=1-P(z < 4.65)=1.581x*10^{-6}

b) By assuming a significance level of α = 0.05 and observing that p_v > α, we can reject the null hypothesis at this level of significance. And in this instance, it makes sense that more than 50% of Americans believe that the Civil War still has an impact on American politics and political life.

c) The confidence interval at 90% would be shown (0.527;0.593).

About 54% to 59% of all Americans, in our opinion, believe that the Civil War is still significant today.

<h3>What is a survey?</h3>

A survey is a set of questions used in human subject research with the goal of gathering specific information from a certain population. Surveys can be carried out via the phone, by mail, online, at street corners, and even in shopping centers.

a)

1) The presented data and the notation "n=1507" refer to the random sample of Americans, "X" denoting the proportion of those Americans in the sample who believe that the Civil War is still significant to American politics and political life, and "p cap" denoting the estimated number of those Americans.

Since the problem specifies that majority  α=0.05 represents the significance threshold, p_0 is the number that we wish to test (no given, but is assumed)

Z would stand for the statistic (interesting variable), and p_v for the p value (variable of interest)

P is the percentage of the public that believes that the Civil War still has an impact on American politics and political life.

2) Useful concepts and formulas

The allegation that more Americans than 50% believe the Civil War is still significant to American politics and political life needs to be tested through a hypothesis (Majority). :

Alternative Hypothesis: p\geq 0.5

Null Hypothesis: p\leq 0.5

The proportion is thought to have a normal distribution.

This test for the percentage of union membership has one tail higher.

Verify whether the sample conforms to the presumptions required for the test to be applied.

a) The random sample must be representative; in this situation, there is no mention of this issue, but it is safe to presume that it exists.

b) The sample size must be sufficient.

np_0=1507*0.5=753.5 > 10\\n(1-p_0)=1507*(1-0.5)=753.5 > 10

3. Determine the statistic.

The formula used to calculate the statistic is as follows:

z=\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n} } }= \frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{1507} } }=4.658

P value= p_v=P(z > 4.65)=1-P(z < 4.65)=1.581*x*10^{-6}

According to the alternative hypothesis, the following would be the p value:

P value= p_v=P(z > 4.65)=1-P(z < 4.65)=1.581*x*10^{-6}

Using this formula, the confidence interval would be determined.

p ± z_{\frac{\alpha }{2}}\sqrt{\frac{p(1-p)}{n} }

With the value of \alpha and \alpha _2, we can get the quantile necessary for the interval in the normal standard distribution for the 90% confidence interval.

z_{\frac{\alpha }{2} }=2.58

adding the following to the formula for the confidence interval:

0.56-2.58\sqrt{\frac{0.56(1-0.56)}{1507} } = 0.527\\0.56+2.58\sqrt{\frac{0.56(1-0.56)}{1507} } = 0.593

Also provided would be the 90% confidence interval (0.527;0.593).

About 54% to 59% of all Americans, in our opinion, believe that the Civil War is still significant today.

And because the interval does not contain the value of 0.5, we can conclude that, at a 90% level of confidence, the percentage of Americans who believe that the Civil War is still relevant to American politics and political life is higher than 0.5. This result is consistent with the result of part b.

To know more about survey, visit:

brainly.com/question/13192080

#SPJ4

6 0
2 years ago
Determine whether the given measures can be the lengths of the sides of a triangle write yes or no
ohaa [14]

NO.,the given measures can not be the lengths of the sides of a triangle

Step-by-step explanation

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

so, Find the range for the measure of the third side of a triangle given the measures of two sides.

here given measures are 2,2,6

2+2 = 4 which is less than the third side 6

        = 4 < 6    

This not at all a triangle.

Hence, the given measures can not be the lengths of the sides of a triangle

3 0
3 years ago
Stuck On this one too. Think I’m missing a step
Elis [28]

Answer:

The answer is B) 152

Step-by-step explanation:

3 0
2 years ago
A roller coaster begins at 45 feet above ground level. Then it descend 52 feet. Find the height of the coaster after the first d
ioda

Answer:

-7 feet above the ground

Step-by-step explanation:

8 0
3 years ago
U0ukj787y8fr7hjhy7 which one
Sedbober [7]

If ABC and DEF are complementary, then the value of x will be,

90 - ABC = x

90 - 53 = x

x = 37°

5 0
2 years ago
Read 2 more answers
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