On a unit circle, the terminal point of 0 is (square root of 2/2, square root of 2/2) what is 0?

Mathematics

1 answer:

Thepotemich [5.8K]2 years ago

8 0

Answer:

Step-by-step explanation:

0 should never be used as a substitute for θ!

(√2/2, √2/2) = (cos(45°), sin(45°))

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A professor records the difference between the marks scored by the students in the class test last week and those scored in the

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Answer: $(10.82\ , 13.18)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\mu\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 35 , large sample (n>30)

Mean difference : $\overline{x}=12$

Standard deviation : $\sigma=3$

Significance level : $\alpha=- 1-0.999=0.001$

Critical value : $z_{\alpha/2}=z_{0.0005}=3.4807567$

Now, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students will be :-

$12\pm\ (3.4807567)\dfrac{2}{\sqrt{35}}\\\\=12\pm1.18\\\\=(10.82\ , 13.18)$

Hence, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students = $(10.82\ , 13.18)$

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Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?

Yuliya22 [10]

<span>–4(x + 3) ≤ –2 – 2x

>>.....-4x -12 </span>≤ -2 -2x

>> -12 +2 ≤ +2x

>> - 10 ≤ 2x

>> -5 ≤ x............>> x >= -5

This answer is not represented in the pictures you attached

The line starts in x = -5 and goes up to infinity

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