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3 years ago

The diameter of a circle is 2 yards. What is the circle's radius? d

2 answers:

8 0

The diameter of a circle refers to a straight line passing from side to side through the center connecting to points in the circumference.
In the other hand the radius is a line passing through the center of the circle to the circumference, and it is the half of the measure of the diameter.

On this question is given that the diameter of a circle is 2 yards and it is asked to find the radius.

Radius=1/2diameter
Radius=1/2(2)
Radius=1

The radius of a the circle is 1 yard.

Natalka [10]3 years ago

6 0

The circle's radius is 1 yard. You take half of the diameter to get this value.

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serg [7]

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3 years ago

Find the distance between the two points in simplest radical form for (-6,1) and (-8,-4)

Elina [12.6K]

Answer:

Step-by-step explanation:

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3 years ago

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2 years ago

A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

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

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case 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".

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

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

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

$p_v =P(z>1.768)=0.039$

6 0

3 years ago

What percent of 50 is 9?

d1i1m1o1n [39]

9 is 18% of 50. So, 50 percent also written as 50% means 50 out of 100 parts. Since there are exactly two 50s in 100, fifty percent is the same number as one half. 50 percent=0.5 in but as a fraction, its 1/2.

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3 years ago