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Veronika [31]
3 years ago
9

Evaluate the function below for x=2. F(x)=x^4+6x^3+3

Mathematics
1 answer:
Nitella [24]3 years ago
7 0
Answer:
f(2)=67
Step-by-step explanation:
In order to evaluate the function f(x)=x^4+6x^3+3 for x=2, you must replace all of the x's with the number two and then simplify:
f(2)=2^4+6(2)^3+3
f(2)=16+6(8)+3
f(2)=16+48+3
f(2)=16+51
f(2)=67
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A manufacturer of tires wants to advertise a mileage interval that ex-cludes no more than 10% of the mileage on tires he sells.
Sergio039 [100]

Answer:

This mileage interval is from 30120 miles and higher.

Step-by-step explanation:

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.

In this problem, we have that:

All he knows is that, for a large number of tires tested, the mean mileage was 25,000 miles, and the standard deviation was 4000 miles. This means that \mu = 25000, \sigma = 4000.

A manufacturer of tires wants to advertise a mileage interval that ex-cludes no more than 10% of the mileage on tires he sells. What interval wouldyou suggest?

The lower end of this interval is X when Z has a pvalue of 0.90.  That is Z = 1.28.

So

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

1.28 = \frac{X - 25000}{4000}

X - 25000 = 4000*1.28

X = 30120

This mileage interval is from 30120 miles and higher.

7 0
2 years ago
Evaluate 4k2 + 3 when k = 5
lyudmila [28]

Answer:

103

Step-by-step explanation:

Evaluate 4k2 + 3

To evaluate 4k² + 3, when k = 5, which means when you sees k, put 5 in replacement

4k² + 3 = 4(5)² + 3

4(5×5) + 3

4(25) + 3

open the bracket

4 × 25 = 100

∴ 100 + 3 = 103

Please mark me brainliest  

7 0
2 years ago
Read 2 more answers
PLEASE HELP I WILL GIVE BRAINLIST PLEASE
ivolga24 [154]

Answer: D: 4.5

Step-by-step explanation:

So the Equation I used for this would be

6(2x+3) = 3(6x-3)

In Which the left is the Hexagon (The 6 is for the 6 Sides) and the right of the equation is the triangle (given the 3 for the 3 sides. In order to solve, we need to solve for x. Distribute the equation and your left with

12x+18=18x-9

-12x            +9

27=6x

Divide to get X by itself

and your left with

4.5 = x

Hope it helped.

3 0
2 years ago
Convert 0.0002 ug to mg:<br> Please help
Ksju [112]

1 ug = 0,001 mg

0,0002 ug= x

x= (0,0002×0,001)/1

x= 2e-7

8 0
3 years ago
In a​ bookcase, there are 7 fiction books for every 5 nonfiction books. There are 72 books in the bookcase. How many nonfiction
Fynjy0 [20]

Answer:

There are 30 nonfiction books.

Step-by-step explanation:

The answer is 30 because 7 plus 5 is 12 and 72 divided by 12 is 6 and 6 times 5 is 30.

P.S Can I have brainliest?

7 0
2 years ago
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