If the diameter of a circle is 124 centimeters, then what is the radius.
2 answers:
You might be interested in
Answer:
The number of dimes is <u>14</u> and the number of quarters is <u>7</u>.
Step-by-step explanation:
Given:
Emily has $3.15 worth of dimes and quarters.
<em><u>She has twice as many dimes as quarters.</u></em>
Now, to determine the number of dimes and the number of quarters.
Let the number of quarters be
And the number of dimes be
So, the total worth of dimes and quarters = $3.15.
Now, to get the number of dimes and quarters:
According to question:
<em>Dividing both sides by 0.45 we get:</em>
<em>Thus, the number of quarters</em> = 7.
<em>So, the number of dimes</em> =
Therefore, the number of dimes is 14 and the number of quarters is 7.
Answer:
There is sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same frequency.
Step-by-step explanation:
In this case we need to test whether there is sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same frequency.
A Chi-square test for goodness of fit will be used in this case.
The hypothesis can be defined as:
<em>H₀</em>: The observed frequencies are same as the expected frequencies.
<em>Hₐ</em>: The observed frequencies are not same as the expected frequencies.
The test statistic is given as follows:
The values are computed in the table.
The test statistic value is .
The degrees of freedom of the test is:
n - 1 = 12 - 1 = 11
Compute the <em>p</em>-value of the test as follows:
p-value < 0.00001
*Use a Chi-square table.
p-value < 0.00001 < α = 0.05.
So, the null hypothesis will be rejected at any significance level.
Thus, there is sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same frequency.
