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3 years ago

Each circumference is given using the ≈ symbol. What does that mean about

Mathematics

1 answer:

netineya [11]3 years ago

8 0

Answer:

Circumference ≈ 3.142 cm

Step-by-step explanation:

≈ basically means that it's an approximate value.

The formula to find the circumference of a circle is:

Circumference = 2πr

The diameter is given, but we can find the radius by halving the diameter.

radius = $\frac{d}{2}$ = $\frac{1}{2}$ = 0.5 cm

Now that we know the radius, we can add the radius into the formula and find the circumference.

Circumference = 2 × π × 0.5

Circumference = π × 1

Circumference ≈ 3.142 cm

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Use fives fact to help you solve 7 x 6. Show your work using

fredd [130]

7 x 6 = 7 x 4 = 28
/ \ = 7 x 2 = 14
4 2 + __
42

3 0

3 years ago

2a ⁵ + 5 but a = 5<br> step by step please:D

Sav [38]

Answer:

Step-by-step explanation:

Alright so we are going to be Evaluating on this Equation

So We Substitute for A=5

2a⁵+5

2(5⁵)+5

Step 2

2(5⁵)+5 Simplify

2(3125)+5

6250+5

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Your answer would be 6255

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3 years ago

The health of the bear population in a park is monitored by periodic measurements taken from anesthetized bears. A sample of the

Vikki [24]

Answer:

$182.167-2.03\frac{114.05}{\sqrt{36}}=143.580$

$182.167+2.03\frac{114.05}{\sqrt{36}}=220.754$

So on this case the 95% confidence interval would be given by (143.580;220.754)

Step-by-step explanation:

Assuming the following dataset:

77, 349,417,349, 167 , 225, 265, 360,205

145,335,40,139, 177,108, 163, 202, 22

123,439, 125,135, 86,43, 217,49, 156

119,178, 151, 61, 350, 312, 91, 89,89

We can calculate the sample mean with the followinf formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}= 182.167$

And the sample deviation with:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}=114.05$

The sample size on this case is n =36.

Previous concepts

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".

$\bar X=182.167$ represent the sample mean

$\mu$ population mean (variable of interest)

s=114.05 represent the sample standard deviation

n=36 represent the sample size

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The point estimate of the population mean is $\hat \mu = \bar X =182.167$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=36-1=35$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,35)".And we see that $t_{\alpha/2}=2.03$