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svp [43]
3 years ago
8

If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth tes

t for a 90 average?
Mathematics
2 answers:
gladu [14]3 years ago
8 0
Average = sum/count

current count = 4
current sum = 76+92+89+97=354

we need average = 90 = sum/5
so, we need sum = 90*5=450

To get sum 450, he needs to score 450-354=96 on his best test.

Now, (76+92+89+97+96)/5=90
Keith_Richards [23]3 years ago
4 0
You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
87
+
88
+
92
+
X
4
(4) = 90 (4)
Multiplying for four on each side cancels out the fraction.
So now you have:
87 + 88 + 92 + X = 360
This can be simplified as:
267 + X = 360
Negating the 267 on each side will isolate the X value, and give you your final answer:
X = 93
Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
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<h3>Answer: A and C</h3>

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4 0
3 years ago
Five hundred eleven (511) homes in a certain southern California community are randomly surveyed to determine if they meet minim
allsm [11]

Answer:

The confidence interval at the 90% confidence level for the true population proportion of southern California community homes meeting at least the minimum recommendations for earthquake preparedness is (0.3136, 0.3830).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

511 homes were surveyed, of which 178 met the minimum recommendations for earthquake preparedness. This means that n = 511 and p = \frac{178}{511} = 0.3483.

Find the confidence interval at the 90% confidence level for the true population proportion of southern California community homes meeting at least the minimum recommendations for earthquake preparedness.

So \alpha = 0.10, z is the value of Z that has a pvalue of 1 - \frac{0.10}{2} = 0.95, so z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3483 - 1.645\sqrt{\frac{0.3483*0.6517}{511}} = 0.3136

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3483 + 1.645\sqrt{\frac{0.3483*0.6517}{511}} = 0.3830

The confidence interval at the 90% confidence level for the true population proportion of southern California community homes meeting at least the minimum recommendations for earthquake preparedness is (0.3136, 0.3830).

6 0
3 years ago
Write an equation for the line parallel to the given line that contains C C(-1,7);y=5/9x-1
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Answer:

The equation of the line would be y = 5/9x +  68/9

Ste-by-step explanation:

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y - y1 = m(x - x1)

y - 7 = 5/9(x + 1)

y - 7 = 5/9x + 5/9

y = 5/9x +  68/9

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The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity at t = 8 by finding the derivati
hodyreva [135]

Hello! There are a few ways to find the derivative. One famous formula is below:

Note, t = x = 8

\frac{f(x + h) - f(x)}{h}

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\frac{f(x + h) - f(x)}{h}

\frac{(-9 - 3(x + h)) - (-9 - 3x)}{h}

Insert x = 8

\frac{(-9 - 3(8 + h)) - (-9 - 3(8))}{h}

Do the Math

\frac{(-9 - 3(8 + h)) - (-9 - 3(8))}{h}

\frac{(-9 - 24 - 3h)) + 9 +24)}{h}

Group Like Terms

\frac{-9 + 9- 24 +24 - 3h )}{h}

Cancel Terms and Finish Doing The Math

\frac{-9 + 9- 24 +24 - 3h )}{h}

\frac{ -3h }{h}

\frac{ -3h }{h} = -3

---------------------------------------------------------------------------------------

So when t = 8 the instantaneous velocity = -3

6 0
3 years ago
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