Answer:
Mean : 95
Median : 85
Mode : 90
Part B : Impossible
Step-by-step explanation:
We can make an equation to find the mean using the first 5 history test scores.

So a 95 would be needed to have a mean of 85.
Next, the median.
First, we sort the first 5 history scores from least to greatest.
We get 75, 75, 80, 90, 95.
Since, 80 is the middle value, it will be used in the calculation of the median.
We can make an equation with this.

So a score a 85 would be needed to have a median of 82.5
Thirdly, the mode.
Since 90 is already in the set once, we can just have Maliah score another 90 to make 90 the mode (with the exception of 75 of course).
Finally, Part B.
We can use the equation we had for the first mean calculation but change 85 to 90.

So Maliah would need a score of 125 to make her mean score 90, but since the range is only from 0-100, it is impossible.
Answer:
i think the first one and thrid
Step-by-step explanation:
Answer:
Step-by-step explanation:
A circle is inscribed in an equilateral triangle PQR with centre O. If angle OQR = 30°, what is the perimeter of the triangle?
This is a circle inscribed in an equilateral triangle with side s.
If you are asking for the perimeter of PQR, it is 3s.
If you are asking for the perimeter of OQR, it is (3+23–√3)s
Since OR and SR are the hypotenuses of right triangles with adjacent side equal to ½ s, their length is ½s / cos 30° = (√3) /3.
(3/3)s + ((√3) /3)s + ((√3) /3)s = ((3 + 2√3)/3)s ≈ 2.1547s
Hope it helps
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Answer:
Null Hypothesis,
: p
45%
Alternate Hypothesis,
: p < 45%
Step-by-step explanation:
We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.
The collected random sample of size 50 showed that only 18 were women.
<u><em>Let p = proportion of women in similar sales positions across the country in 2004</em></u>
So, Null Hypothesis,
: p
45%
Alternate Hypothesis,
: p < 45%
Here, <u><em>null hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.
On the other hand, <u><em>alternate hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is less than 45%.
The test statistics that would be used here is One-sample z proportion test statistics, i.e;
T.S. =
~ N(0,1)
Hence, the above hypothesis is appropriate for the given situation.
Answer:
$75.08
Step-by-step explanation:
x over 57.75 = 30 over 100
57.75 * 30
1732.5 / 100
17.325
57.75 + 17.325
75.075
Simplify = $75.08