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3 years ago

B) The perimeter of the shape is 25.71 cm

Mathematics

1 answer:

natita [175]3 years ago

4 0

Answer:

$r=4cm$

Step-by-step explanation:

Having the radius to be involved, the shape is a circle.

<u>Circumference formula </u>

$c=2\pi r$

Finding radius, formula will be reversed.

$r=\frac{25.72cm}{2\pi }$

$r=\frac{25.71cm}{2(3.142)}$ $r=\frac{25.71cm}{6.284}$ $r=4.09cm$

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Is 10/9 closets to 0, 1/2 ,or 1

VARVARA [1.3K]

1 because 10/9= 1 1/10
which is closer to 1

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3 years ago

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Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this ye

slega [8]

Answer:

A sample size of 1031 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

37% of freshmen do not visit their counselors regularly.

This means that $\pi = 0.37$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}$

$0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}$

$\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2$

$n = 1030.4$

Rounding up:

A sample size of 1031 is required.

4 0

3 years ago

An airplane travel at a constant speed of 575 miles per hour.write and equation that can be used to determine the number of mile

Oxana [17]

Answer:

$m = 575h$

Step-by-step explanation:

Given

$Rate = 575 miles/hour$

Required

Determine the equation for the model

Represent the number of hours with h and the miles with m.

Using distance formula:

$Distance = Speed * Time$

In this case, it is:

$Miles = Rate * Hour$

So, we have:

$m = 575 * h$

$m = 575h$

3 0

3 years ago

What do the unknown factor and quotient represent?

beks73 [17]

Unknown factor is known as the factor that is not understood and not know(you have no idea what the value is)

quotient is the answer of two different numbers called dividend and divisor being divided with each other

7 0

3 years ago

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I can’t figure this out at all.

Liula [17]

The fact that this triangle is a right angle triangle makes you now have 2 angles and the 1 side given, so it should be solvable.
First, You know that A=46 and C=90 as it is the right angle, and you know that the sum of any triangle's angles is 180. so now B=180-(90-46)=44
Now to the sides,
sin(B)=opp./hyp.=b/c=8/c=sin(44)
so, c=8/sin(44) which is approximately 11.52 unit length
now, use Pythagoras to find a,
a=√c²-b² =√11.52²-8² which is approximately 8.3 unit length.
Hope this helps.

6 0

3 years ago