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Goryan [66]
3 years ago
6

Sin^2xcos^2x=1-cos4x/8

Mathematics
1 answer:
Korolek [52]3 years ago
7 0
\sin^2x\cos^2x=\left(\dfrac{1-\cos2x}2\right)\left(\dfrac{1+\cos2x}2\right)=\dfrac{1-\cos^22x}4=\dfrac{1-\dfrac{1+\cos4x}2}4=\dfrac{2-(1+\cos4x)}8=\dfrac{1-\cos4x}8
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Consider the function f(x)=6x+5 <br> (A) find it’s average rate of change by changing x=1 to x=5
soldier1979 [14.2K]

Answer: I really don’t know

Step-by-step explanation: I need help with this as well. I’m really sorry if you were looking for a real answer

8 0
3 years ago
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16
dusya [7]

Answer:

F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have n_2 -1 =16-1=15 and for the denominator we have n_1 -1 =16-1=15 and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

p_v =2*P(F_{15,15}>2.2)=0.138

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

Step-by-step explanation:

Information given

n_1 = 16 represent the sampe size 1

n_2 =16 represent the sample 2

s^2_1 = 2.5 represent the sample deviation for 1

s^2_2 = 5.5 represent the sample variance for 2

\alpha=0.10 represent the significance level provided

The statistic is given by:

F=\frac{s^2_2}{s^2_1}

Hypothesis to test

We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:

H0: \sigma^2_1 = \sigma^2_2

H1: \sigma^2_1 \neq \sigma^2_2

The statistic is given by:

F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have n_2 -1 =16-1=15 and for the denominator we have n_1 -1 =16-1=15 and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

p_v =2*P(F_{15,15}>2.2)=0.138

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

5 0
3 years ago
What are all the factors of 47?
nikklg [1K]
The factors are 1 and 47, since 47 is a prime number.
5 0
3 years ago
Question 8
diamong [38]

Answer:

Total apples=10

no.of honeycrisp Apple=2

1). Probability-2/10. =1/5

now total apples left=9

tolyal honey crisp apples left=1

2) probability=1/9

6 0
3 years ago
A CD player is on sale for $90 at an electronics store. If the original price was $125, what was the percent of discount
krek1111 [17]
This is the working of how it is 28% discount

Find the amount of discount : $125 - $90 = $35
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Change in to percentage : 0.28 x 100 = 28%

Therefore the percentage discount is 28% off

:)
8 0
3 years ago
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