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MrMuchimi
3 years ago
5

BRAINLIEST ANSWER THIS IS URGENT PLEASE HURRY. ANSWER ALL THE BLANK BOXES.

Mathematics
1 answer:
shusha [124]3 years ago
7 0

The answers are:

1) x

2) x

3) \frac{ln(x+4)}{2}

The explanation for this answer is shown below.

1. To solve this problem you must apply the following proccedure:

2. You have the function f(x)=e^{2x}-4\\  y=e^{2x}-4

3. You must switchx and y and then solve forx:

x=e^{2y}-4\\ x+4=e^{2x}\\ ln(x+4)=2y\\ y=\frac{ln(x+4)}{2}

4. Finally, you obtain:

f^{-1}(x)=\frac{ln(x+4)}{2}

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Evaluate the expression below when h=13h=13 and j=3j=3
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Consider the figure below where MN is parallel to PQ, angle PTS is equal to (19x +5) and angle NST is equal to (17x +15), determ
topjm [15]

From the figure shown where MN is parallel to PQ:

m<MSR   =  100°

m<STQ   =  80°

By carefully observing the figure shown:

<MSR is vertically opposite to <NST

Vertically opposite angles are equal

m<NST  =  (17x  +  15)

<NST is alternative to <PTS

Alternative angles are equal

Therefore, m<NST  =  m<PTS

m<NST = 17x + 15

m<PTS  =  19x + 5

17x  +  15   =  19x  +  5

19x  -  17x =  15  -  5

2x   =  10

x   =  10/2

x   =  5

m<NST  =  17x + 15

m<NST  =  17(5)  +  15

m<NST  =  100°

Since m<MSR  =  m<NST

m<MSR   =  100°

m<PTS  =  19x + 5

m<PTS  =  19(5)  +  5

m<PTS  =  100°

m<PTS  +  m<STQ  =  180° (Sum of angles on a straight line)

100   +  m<STQ   =  180

m<STQ   =  180 - 100

m<STQ   =  80°

From the figure shown where MN is parallel to PQ:

m<MSR   =  100°

m<STQ   =  80°

Learn more here: brainly.com/question/25022812

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Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for
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Answer:

Alternative hypothesis is that Worker productivity is higher with automatic dispensers.

The Rank for  Group1  is 115.5 and Group 2 is 55.5.

Conclusion is that Worker productivity is higher with automatic dispensers.

Step-by-step explanation:

The null and alternative hypotheses are

H0: Group1 ≤ Group2   against the claim

Ha: Group1 > Group2

Alternative hypothesis is that Worker productivity is higher with automatic dispensers.

Calculations:

                                        Group1               Group2

Sample Mean   x `       139.22               114.67

Sample size n                   9                         9

Sample SD                     18.21                  11.937

Rank                               115.5                       55.5

U                                      10.5                          70.5

<u><em>The Rank for  Group1  is 115.5 and Group 2 is 55.5.</em></u>

<u><em></em></u>

<em><u>1. H0 hypothesis</u></em>

As p-value < alpha  and Z lies in the critical region, H0 is rejected.

The randomly selected value of Group1's population is considered have greater productivity  than the randomly selected value of Group2's population.

<em><u>2. P-value</u></em>

The p-value equals 0.0046.

<em><u>3. Test statistics</u></em>

<em><u>Z= u-μ+c/σ</u></em>

The critical region for one tailed test for z at 0.01 significance level is

z > 2.33.

The test statistic Z equals 2.6063, which lies in the critical region of acceptance z> 2.326

<u><em>4. Conclusion</em></u>

As the calculated test statistic lies in the critical region H0 is rejected and it is concluded that

<em><u>Worker productivity is higher with automatic dispensers. </u></em>

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