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Mathematics

1 answer:

alexira [117]2 years ago

6 0

Answer:

Step-by-step explanation:

2081.25 ; 2312.50 ; 2543.75 ; ..... 7500

a= 2081.25

d = 231.25

$t_{n}= 7500$

$a + (n-1)d = t_{n}$

2081.25 + (n-1) * 231.25 = 7500

(n -1) *231.25 = 7500 - 2081.25

231.25n - 231.25 = 5418.75

231.25n = 5418.75 + 231.25

231.25n = 5650

n = 5650/231.25 = 565000/23125

n = 904/37

n = 24 years 157 days

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What expression is equivalent to 5(4 + 2x) Using distributive property

Elodia [21]

Using the distributive property, 10x + 20.

(5 * 4) + (5 * 2x) = 20 + 10x = 10x + 20.

5 0

3 years ago

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A driving school wants to find out which of its two instructors is more effective at preparing students to pass the state’s driv

jonny [76]

Answer:

Yes, there is evidence to support that claim that instructor 1 is more effective than instructor 2

Step-by-step explanation:

We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in instructor quality, then the difference in proportions will be zero. That makes the null hypothesis

H0: p1 - p2 = 0

The question is asking whether instructor 1 is more effective, so if he is, his proportion will be larger than instructor 2, so the difference would result in a positive number. This makes the alternate hypothesis

Ha: p1 - p2 > 0

This is a right tailed test (the > or < sign always point to the critical region like an arrowhead)

We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.645.

If our test statistic falls in this region, we will reject the null hypothesis.

<u>See the attached photo for the hypothesis test and conclusion</u>