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nadezda [96]
3 years ago
14

Is line BC parallel to DE? Choose the best justification.

Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0

Answer:

C

Step-by-step explanation:

The last one.

Hope this helped!

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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
40 pounds of sugar are repackaged of 1/16 pounds each. how many packet of sugar are there?
jarptica [38.1K]
We know to each pound of such, there is 16 packets produced per?

So, 16 x 40 = 640.
8 0
3 years ago
You are given that<br> 4a-2b = 10<br> (a)<br> Write down the value of<br> 2a - b
Simora [160]

Answer:

2a - b = 5

Step-by-step explanation:

4a - 2b = 10

take out the highest common factor of the left side

2(2a - b) = 10

divide both sides by two

2a - b = 10/2

2a - b = 5

6 0
3 years ago
Graph the system of
9966 [12]

Answer:

(-0.2, 2.8)

General Formulas and Concepts:

<u>Algebra I</u>

  • Reading a Cartesian plane
  • Coordinates (x, y)
  • Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations.

6 0
2 years ago
A radar measures the speed of a car at 45 miles per hour. The actual speed of the car is 40 miles per hour what is the percent e
sweet-ann [11.9K]
Hi☺️ i think it is around the number of less than 2
hope this help !
8 0
3 years ago
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