Given the mean of 15 of them is 18 and the mean of the rest is 13
And the total numbers are 25
So,
First, we need to find the sum of all numbers
the mean of 15 of them is 18
so, the sum of the 15 numbers are = 18 * 15 = 270
The rest of the numbers = 25 - 15 = 10
the mean of the rest is 13
so, the sum of the rest = 13 * 10 = 130
so, the sum of all numbers = 270 + 130 = 400
so, the mean of the all numbers =
So, the answer is, mean = 16
Answer:
Ebony will win the competition
Step-by-step explanation:
<u>Kiara:</u>
where t represents the time in seconds, and m represents the number of math facts completed.
When t = 1, then m = 5
5 math facts per second
<u>Giovanni:</u>
From the table:
20 math facts - in 5 seconds
40 math facts - in 10 seconds
60 math facts - in 15 seconds
4 math facts per second
Ebony:
From the graph
12 math facts in 2 seconds
24 math facts in 4 seconds
36 math facts in 6 seconds
48 math facts in 8 seconds
60 math facts in 10 seconds
6 math facts per second
Ebony will win the competition
Answer:
tan θ × sin θ
From trigonometric identities
So we have
We have the final answer as
Hope this helps you
Answer:
The <em>p</em>-value is 0.809.
Step-by-step explanation:
In this case we need to perform a significance test for the standard deviation.
The hypothesis is defined as follows:
<em>H</em>₀: <em>σ</em>₀ = 4 vs. <em>Hₐ</em>: <em>σ</em>₀ ≤ 4
The information provided is:
<em>n</em> = 9
<em>s</em> = 3
Compute the Chi-square test statistic as follows:
The test statistic value is 4.5.
The degrees of freedom is:
df = n - 1
= 9 - 1
= 8
Compute the <em>p</em>-value as follows:
*Use a Chi-square table.
Thus, the <em>p</em>-value is 0.809.