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Lostsunrise [7]
3 years ago
6

Someone please please help ASAP.

Mathematics
1 answer:
valkas [14]3 years ago
8 0
The slope for the line is 3/4
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What is the following is the solution to the equation 25^(z+2) = 125
maksim [4K]

First, rewrite the equation 25^{z+2} = 125 with the base equal to 5. Note that:

  • 25=5^2;
  • 125=5^3;
  • 25^{z+2}=(5^2)^{z+2}=5^{2\cdot (z+2)}.

Then

5^{2\cdot (z+2)}=5^3.

Since the bases are equal, you have that powers are equal too:

2\cdot (z+2)=3,\\ \\2z+4=3,\\ \\2z=3-4,\\ \\2z=-1,\\ \\z=-\dfrac{1}{2}.

Answer: z=-\dfrac{1}{2}.


3 0
3 years ago
Can some one please help me with my previous question?
zloy xaker [14]

Answer:

Sure

Step-by-step explanation:

:)

4 0
3 years ago
Read 2 more answers
An insurance company states that it settles 85% of all life insurance claims within 30 days. A consumer group asks the state ins
BlackZzzverrR [31]

Using the z-distribution, it is found that since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is not enough evidence that the proportion is below 85%, that is:

H_0: p \geq 0.85

At the alternative hypothesis, it is tested if there is enough evidence that the proportion is below 85%, that is:

H_0: p < 0.85

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are:

p = 0.85, n = 250, \overline{p} = \frac{203}{250} = 0.812

Hence the test statistic is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.812 - 0.85}{\sqrt{\frac{0.85(0.15)}{250}}}

z = -1.68

<h3>What is the p-value and the conclusion</h3>

Using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -1.68, the p-value is of 0.0465.

Since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

4 0
1 year ago
7 more than 5 times a number is 122
Luba_88 [7]

Answer:

The number is 23.

Step-by-step explanation:

5n + 7 = 122               Subtract 7 on both sides

     5n = 115                 Isolate the variable by dividing 5 on both sides

        n = 23

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>
4 0
3 years ago
Over the interval 2 to 4 by how much does the function increse
gulaghasi [49]

The answer is 2 because two plus two equals 4 and 4-2=2 so the answer is 2. Hope this could help a lot and this was a useful answer


3 0
3 years ago
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