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saw5 [17]
3 years ago
5

Find the maximum and minimum values of the function. Y=-cos8x

Mathematics
1 answer:
natka813 [3]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Given a sinusoidal function (sine function or cos function) in the form

y = A Cos (Bx), we can say that A is the amplitude.

<em>Amplitude defines the function's maximum and minimum.</em>

The maximum of this form of function is A and the minimum is -A.

The function given is y = -Cos(8x), so A is -1

Thus, maximum value is 1 and minimum value is -1.

Correct answer is A

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I need help with question 2 Only
kiruha [24]
The correct answer is C
5 0
3 years ago
It is desired to compare the hourly rate of an entry-level job in two fast-food chains. Eight locations for each chain are rando
notka56 [123]

Answer:

It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration

Step by Step Solution:

The given data are;

Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80

Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65

Using the functions of Microsoft Excel, we get;

The mean hourly rate for fast-food Chain A, \overline x_1 = 4.25

The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478

The mean hourly rate for fast-food Chain B, \overline x_2 = 4.25625

The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649

The significance level, α = 5%

The null hypothesis, H₀:  \overline x_1 = \overline x_2

The alternative hypothesis, Hₐ:  \overline x_1 ≠ \overline x_2

The pooled variance, S_p^2, is given as follows;

S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}

Therefore, we have;

S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682

The test statistic is given as follows;

t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}

Therefore, we have;

t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176

The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14

At 5% significance level, the critical t = 2.145

Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration

3 0
3 years ago
Which equation is true for x = 6? A) 2x + 5 = 25 B) 3x + 5 = 17 C) 5x − 18 = 7 D) 6x − 10 = 26
Anit [1.1K]
D is the answer.
6×6-10=26
4 0
3 years ago
The inchworm moves 1/5 inch per hour. How far will the inchworm have moved after 6 hours?
melisa1 [442]

Answer: 1 1/5 inches.

Step-by-step explanation:

1/5 * 6

1/5 * 6/1

6/5 = 1 1/5

5 0
3 years ago
2 divided by 1/3 in simpleast form
leva [86]

Answer:

6

Step-by-step explanation:

When dividing by a fraction flip it over and multiply

2 / (1/3) = 2 * 3/1

2 / (1/3) = 6/1

2 / (1/3) = 6

8 0
3 years ago
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