Answer:
Step-by-step explanation:
= 7(19) - 142(31) = <em>- 4269</em>
= 7(- 8)(- 9) + 11(2)(- 16) + 21(55)(- 1) - 21(- 8)(- 16) - 7(2)(- 1) - 11(55)(- 9) = <em>1768</em>
= 9.07(2.5)(2.35) + 6.02(3.5)(3.55) + 2.01(- 30.7)(- 1.1) - 2.01(2.5)(3.55) - 9.07(3.5)(- 1.1) - 6.02(- 30.7)(2.35) = <em>647.3561</em>
They are perpendicular lines. they form right angles
Answer:
2,436 students
Step-by-step explanation:
At a 90% confidence level, the z-score is 1.645 and the confidence interval is given by:

Where s is the standard deviation, and n is the sample size.
If they want the length of their confidence interval to be no greater than 0.2, it must be no further than 0.1 from the mean 'X':

Rounding up to the next whole number, the sample size should be 2,436 students.
Considering it's volume of 113 cm³, the approximate radius of the sphere is given by:
A. 3 cm
<h3>What is the volume of an sphere?</h3>
The volume of an sphere of radius r is given by:

In this problem, we have that V = 113 cm³, hence the radius in cm is given as follows:



![r = \sqrt[3]{\frac{113 \times 3}{4\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B113%20%5Ctimes%203%7D%7B4%5Cpi%7D%7D)
r = 3 cm.
Hence option A is correct.
More can be learned about the volume of an sphere at brainly.com/question/25608353
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Answer:
0/7 (no solutions)
Step-by-step explanation:
2 - 2 / 4 - (-3) = 0/7