A^2 + b^2 = c^2
a^2 + 7^2 = 11^2
49= 121
121 - 49 = 72
Square root(72) = 8.49
or you can just keep the square root symbol with 72 under it
Answer:
The value of the test statistic is 4.70.
Step-by-step explanation:
The hypothesis for this test can be defined as follows:
<em>H</em>₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.
<em>H</em>ₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.
The population standard deviations are not known.
So a <em>t</em>-distribution will be used to perform the test.
The test statistic for the test of difference between mean is:

Given:

Compute the value of the test statistic as follows:

Thus, the value of the test statistic is 4.70.
Answer:
$31.36
Step-by-step explanation:
If she has $38.36 and you subtract 7 you would get the answer $31.36. I hope I helpped (◡ ω ◡)
Answer:
2/12
Step-by-step explanation:
You have to divide 2/3 by 4 which is the same as multiply 2/3 with 1/4.
This will give you 2/12
<h3>
Answer: 5 < x < 29</h3>
=========================================
Explanation:
Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.
So 2x-10 < 48
At the same time, 2x-10 is also larger than 0.
Overall, we can say 0 < 2x-10 < 48
---------
Let's solve for x
0 < 2x-10 < 48
0+10 < 2x < 48+10 ...... add 10 to all sides
10 < 2x < 58
10/2 < x < 58/2 ..... divide all sides by 2
5 < x < 29