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USPshnik [31]
3 years ago
8

"absmiddle" class="latex-formula">(6x + 2)=7
solve for X
Mathematics
1 answer:
BartSMP [9]3 years ago
5 0
I hope this helps you 6x+2=7.2 6x+2=14 6x=12 x=2
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Which row operation will trangularize this matrix?
Nadya [2.5K]

\left[\begin{array}{ccc}1&0&1\\0&0&1\\2&0&1\end{array}\right|\left\begin{array}{ccc}1\\6\\10\end{array}\right] \xrightarrow{-2R_1+R_3}\left[\begin{array}{ccc}1&0&1\\0&0&1\\0&0&-1\end{array}\right|\left\begin{array}{ccc}1\\6\\8\end{array}\right]\\\\Answer:\ C.\ -2R_1+R_3

8 0
3 years ago
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An architect increases the radius of a circle window by 20 percent. By what percent
ale4655 [162]

Answer: 44%

Step-by-step explanation:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

If we increase the radius by 20%, the new radius will be:

R´ = R + 0.20*R = 1.20*R

The new area will be:

A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2

   = 1.44*pi*R^2

And pi*R^2 = A, the original area, then_

A´ = 1.44*A = A + 0.44*A

This means that the percentage in which the area increased is:

0.44*100% = 44%

6 0
2 years ago
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In a random sample of 1066 U.S. adults, 580 think that the U.S. government
alexandr402 [8]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the adults who think that the U.S. government is doing too little to protect the environment presently and the adults who think that the U.S. government is doing too little to protect the environment 10 years ago. The population proportions would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of adults who think that the U.S. government is doing too little to protect the environment presently and the adults who think that the U.S. government is doing too little to protect the environment 10 years ago.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 ≠ p2

p1 - p2 ≠ 0

it is a two tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For the present,

x1 = 580

n1 = 1066

p1 = 580/1066 = 0.54

For 10 years ago,

x2 = 514

n2 = 1038

P2 = 514/1038 = 0.5

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (580 + 514)/(1066 + 1038) = 0.52

1 - pc = 1 - 0.52 = 0.48

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.54 - 0.5)/√(0.52)(0.48)(1/1066 + 1/1038) = 0.04/0.02178551744

z = 1.84

Since it is a two tailed test, the curve is symmetrical. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area above the test z score in the right tail 1 - 0.967 = 0.033

We would double this area to include the area in the left tail of z = - 1.84 Thus

p = 0.033 × 2 = 0.066

Alpha = 0.1

Since alpha, 0.1 > p value 0.066, we would reject the null hypothesis.

Therefore, at a = 0.10, we can reject the

claim that the proportion of U.S. adults who think that the U.S. government

is doing too little to protect the environment has not changed.

4 0
3 years ago
5 points To edit a manuscript, Riley charges $50 for the first 2 hours, and $20 per hour after the first 2 hours. How much will
fiasKO [112]

240 dollarsAnswer:

Multiply the 12.5x20

5 0
3 years ago
Eighty-five mall customers were randomly surveyed across the state to determine if the live entertainment provided had increased
Marat540 [252]

Answer:

YES

Step-by-step explanation:

Yes, the probability can be found through the binomial probability formula.

Binomial probability is used when there are two possible outcomes. The success (p) and failure (q) must be clear. Here, in the question if we need to find out the probability if live entertainment had increased the amount of money spent, then the percentage increase will be considered as success.

While if we want the probability that there is no change in the percentage of money spent, then it will be considered as failure.

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3 years ago
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