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3 years ago

Lem. 2.) 5 + 2x = 13 Solve for x

Mathematics

1 answer:

BARSIC [14]3 years ago

4 0

Answer:

x=4

Step-by-step explanation:

5+2x=13

-5 on both sides

2x=8

÷2 on both sides

x=4

Hope this helps :)

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(Ill give brainliest :) )

meriva

Answer:

A and C

Step-by-step explanation:

A.¼×6766=1691.5

B.6×6766=40,596

C.½×6766=3383

D.1×6766=6766

4 0

3 years ago

The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x. We know the length is 9

Lerok [7]

Given:

The value of the solid's surface area is equal to the value of the solid's volume.

Length(l) = 9 units

width(b) = 4 units

Height(h) = x units

To find:

The value of x.

Solution:

Solid's surface area is

$Area=2(lb+bh+hl)$

$Area=2(9\times 4+4\times x+x\times 9)$

$Area=2(36+4x+9x)$

$Area=2(36+13x)$

$Area=72+26x$

Volume of solid is

$Volume=l\times b\times h$

$Volume=9\times 4\times x$

$Volume=36x$

Solid's surface area = Volume of solid

$72+26x=36x$

$72=36x-26x$

$72=10x$

Divide both sides by 10.

$7.2=x$

Therefore, the value of x is 7.2.

4 0

3 years ago

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat

Mrrafil [7]

Answer:

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

Step-by-step explanation:

Data given and notation

$\bar X=114$ represent the sample mean

$\sigma=22$ represent the population standard deviation

$n=36$ sample size

$\mu_o =120$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part 1

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

8 0

3 years ago

Find the sum of the measures of the interior angles of a convex 30-gon.

Kisachek [45]

The sum of the interior angles of a polygon with N sides is (N-2) x 180 degrees.

For a 30-gon, the sum of interior angles is (28) x (180) = 5,040 degrees.

It makes no difference whether or not the polygon is convex at every vertex.

7 0

3 years ago

Read 2 more answers

A supermarket sells two flavors of cereal: a fruit flavor and a chocolate flavor. In a market survey, the event that a customer

Sedaia [141]

This is a binomial distribution.
p = 0.71, q = 1 - p = 1 - 0.71 = 0.29, n = 20

P(x ≤ 19) =1 - P(x = 20) = 1- 20C20 x (0.71)^(20 - 20) x (0.29)^20 = 1 - 0.29^20 = 1 - 0 = 1

4 0

3 years ago