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3 years ago

Find the product of 2r^2(6r^3+14r^2-30r+14)

Mathematics

2 answers:

steposvetlana [31]3 years ago

8 0

Answer: 2r2(6r3+14r2−30r+14)

Step-by-step explanation:

Apply the distributive property

2r2(6r3)+2r2(14r2)+2r2(−30r)+2r2⋅14

Simplify

2⋅6(r2r3)+2⋅14(r2r2)+2⋅−30(r2r)+28r2

Simplify each term

12r5+28r4−60r3+28r2

mylen [45]3 years ago

6 0

Answer:

12 $r^{5}$ + 28 $r^{4}$ - 60 r³ + 28 r²

Step-by-step explanation:

a(b ± c) = ab ± ac (distributive property)

$a^{m} * a^{n} = a^{m+n}$

2r²(6r³ + 14r² - 30r + 14) = 12  $r^{5}$  + 28  $r^{4}$  - 60 r³ + 28 r²

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7. License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we con

sergejj [24]

Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.

Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.

let $p_{1}$ be the probability that commercial cars have rear license plates and $p_{2}$ be the probability that connected trucks have rear license plates.

Cars Trucks Total

Total 2049 334 2383

x 239 45 284

p 0.1166 0.1347 0.1191

α=0.05

Hypothesis will be :

$H_{0}:p_{1} =p_{2}$

$H_{1} :p_{1} < p_{2}$

It is a left tailed test at 0.05 significance.

Standard errors of p= $\sqrt{p(1-p)/n}$

= $\sqrt{(0.1191*0.8809)/2383}$

= $\sqrt{0.1049/2383}$

=0.0066

Test statistic Z=p difference/standard error

=(0.1166-0.1347)/0.0066

=-0.0181/0.0061

=-2.967

p value=0.001505<5%

Since p is less than 5% we reject null hypothesis.

We cannot calculate standard deviation so we cannot calculate confidence interval.

Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

Learn more about z test at brainly.com/question/14453510

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5 0

2 years ago

What is the mean? Round to one decimal place. 1,6,2,7,9

Viefleur [7K]

Answer:

Step-by-step explanation:

The mean represents an average of all the numbers, so we have $\frac{sum-of-all-numbers}{total-amount-of-numbers}$ . Although that may seem confusing, it's actually pretty easy.

We have a total of five numbers, which are 1, 6, 2, 7, and 9.

We add these numbers up to find the sum, so 1 + 6 + 2 + 7 + 9 = 25

So our final answer will be $\frac{25}{5}$ which can be simplified to 5.

3 0

3 years ago

Please answer this as soon as possible thank you I appreciate it

jok3333 [9.3K]

Not enough information

8 0

3 years ago

Find the value of x. If necessary, round to the nearest tenth.

Ghella [55]

Answer:

x = 10.3 in

Step-by-step explanation:

To find the value of a, use the area formula for a triangle. The formula is A = 1/2 *b*h. Here b = x and h= x. The formula becomes A = 1/2 *x². Substitute A = 53 and solve for x by using inverse operations.

A = 1/2x²

53 = 1/2x²

106 = x²

√106 = x

10.3 = x

5 0

3 years ago

. Write the exponential function modeling an initial population of 67,000 and a relative growth rate of 1.7% per year. What popu

Vlada [557]

Answer:

In 37 years the population will be 125,012

Step-by-step explanation:

Giving the following information:

Initial population (PV)= 67,000

Growth rate (g)= 1.7%= 0.017

Number of years (n)= 37

First, we will establish the future value (FV) formula:

FV= PV*(1+i)^n

FV= 67,000*(1.017^n)

Now, for 37 years:

FV= 67,000*(1.017^37)

FV= 125,012

In 37 years the population will be 125,012

6 0

3 years ago