2x + 5 > 9
so 2x > 9-5
2x > 4
x > 2
5x <= 30
x <= 6
answer is 2 < x <= 6
or interval notation it is (2, 6]
Answer:
Natalie's age is 14
Sasha's age is 17
Step-by-step explanation:
Let
Sasha's age be "s", and
Natalie's age be "n"
<u>Sum of Sasha and Natalie is 31:</u>
s + n = 31
<u>Twice Natalie is 11 more than Sasha:</u>
2n = s + 11
We ca solve this equation for s first:
s = 2n - 11
We put this into first equation and solve for n first:
s + n = 31
2n - 11 + n = 31
3n = 31 + 11
3n = 42
n = 42/3 = 14
Natalie's age is 14
Also, s = 2n - 11
s = 2(14) - 11
s = 28 - 11
s = 17
Sasha's age is 17
Answer:
- <em><u>The female has a higher count relative to the sample of females than the male relative to the sample of males.</u></em>
Explanation:
When you want to compare the means of two samples with different statistics you may use the z-score.
The z-score measures how far a value (data point) is from the mean, in terms of the standard deviation.
The z-score is calculated as:
Where:
<u>1. Male with a count of 5.58 </u>
<u />
<u>2. Female with a count of 5.23</u>
Therefor, the z-score of the female is greater than the z-score of the male.
The greater z-score means that, relative to her group, the female has a higher count than the male.
You are given the information that he takes six lessons per week. First we will calculate the total lessons he could potentially take per year.
6 • 52 = 312
He could potentially take 312 lessons in one year.
Now that you know this information, you simply subtract the days he missed from that total.
312 - 5 = 307
Your final answer: Peter took 307 lessons during the year.