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Georgia [21]
3 years ago
10

If ƒ(n) = 3n 2 - 7, then ƒ(-2) equals _____.

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0
F(n) = 3n² - 7

f(-2) = 3(-2)² - 7
f(-2) = 3(4) - 7
f(-2) = 12 - 7
f(-2) = 5
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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,564 miles, with a standard
DerKrebs [107]

Answer:

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 48564, \sigma = 3293, n = 281, s = \frac{3293}{\sqrt{281}} = 196.44

What is the probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct?

This is the pvalue of Z when X = 48101. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{48101 - 48564}{196.44}

Z = -2.36

Z = -2.36 has a pvalue of 0.0091

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

6 0
3 years ago
If a car is moving at the speed of 60 miles per hour how many miles would a car travel i 120 minutes
sertanlavr [38]

Answer:

120 miles

Step-by-step explanation:

120minutes= 2hour

2×60÷1=120 (miles)

8 0
3 years ago
O is the midpoint of segment FG. FO=3x+17, OG=7x-15. <br><br><br> 98 points
AlladinOne [14]

O is the midpoint so both sides FO and OG need to equal each other.

3x + 17 = 7x - 15

Subtract 3x from both sides:

17 = 4x -15

Add 15 to both sides:

32 = 4x

Divide both sides by 4:

x = 32/4

X = 8

Now you have the value of X, solve for the lengths:

FO = 3x +17 = 3(8) +17 = 24 +17 = 41

OG = 7x -15 = 7(8) -15 = 56-15 = 41

Total length would be 41 + 41 = 82

5 0
3 years ago
Read 2 more answers
5+4 hbjjnb jbjb gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
kkurt [141]

Answer:5+4 = 9

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Place the numbers in order from greatest to least.90.9890.08990.989.8990
padilas [110]

EXPLANATION:

The decimal number that is greater is the one with the largest integer part. If they have the same integer part, the first different decimal place is compared.

Now we are going to order the numbers of the exercise,

The correct order is:

-90.98

-90.9

-90.089

-90

-89.89

6 0
1 year ago
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