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Schach [20]
2 years ago
13

Consider the problem 208.4 x 396.51. If I round 208.4 down to the nearest hundreds place and I round 396.51 up to the nearest hu

ndreds
place, which of the following answers is a reasonable estimate?
Mathematics
1 answer:
WARRIOR [948]2 years ago
6 0

Answer:

The answer is 82,472

Step-by-step explanation:

The nearest estimate of 208.4=208.

The nearest estimate of 396.51 is 396.5

So the product is 82,472

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Which of these could be the dimensions of a unit cube? Select all that apply.
nevsk [136]

Answer:

1 ft. by 1 ft. by 1 ft.

1 mm by 1 mm by 1 mm

Step-by-step explanation:

it's a cube, all sides are the same :)

4 0
3 years ago
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
The base of a triangle is seven less than twice its height. If the area of the triangle is 100cm^2 find the length of the base
Alexeev081 [22]
2x-7 * x
----------- =. 100^2= 10000 
     2


2x^2-7/2= x^2-7/2

x^2-7/2=10000

x^2 = 20007/7
7 0
3 years ago
Read 2 more answers
Can you guys please help! write an equation of the line ​
Nataly [62]

Answer:

y = 2/3x+3

Step-by-step explanation:

5 0
3 years ago
Byron bought a keyless entry door lock that has the digits 0 through 9 on the keypad. He wants to choose a three-digit
kolbaska11 [484]

Answer:

the answer is 10,000

Step-by-step explanation:

thats what i put on the test and got it right

5 0
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