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Zarrin [17]
2 years ago
10

Do the following lengths form a right triangle?​

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
5 0

Answer:

yes, this forms a right angle

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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
It’s not B someone plz help
lisov135 [29]
It’s c

The reason is you just multiply all the numbers together to get 1170cm^3
6 0
3 years ago
Read 2 more answers
Please solve with working 7/3a+2/5 I need help ASAP!
Gelneren [198K]
6a+35/15a is your answer

5 0
3 years ago
X = y - 3
mojhsa [17]
Hello,
{x=y-3
{x+3y=13;

{x=y-3
{y-3+3y=13;


{x=y-3
{4y=13+3;

{x=y-3
{4y=16;

{x=y-3
{y=16:4=4;

{x=4-3=1
{y=4;

{x=1
{y=4

the solution to the system of equations is (1,4)

Bye :-)
8 0
3 years ago
What is the y-intercept of the line described by the equation y= 7x+4
Eddi Din [679]
The slope-intercept form: y = mx + b

m - the slope
b - the y-intercept

y = 7x + 4

Answer: The y-intercept b = 4 ⇒ (0; 4)
6 0
3 years ago
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