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3 years ago

Solve the system 2x + 2y equals -6 and 3x - 2y equals 11 What is the solution to the system

Mathematics

1 answer:

ivann1987 [24]3 years ago

3 0

Answer:

Step-by-step explanation:

(1,-4) is the answer reason why is you add the equations in order to solve for the first variable plug it in the equations in order to solve for the remaining variables

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While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem

Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = population proportion.

So, Null Hypothesis, $H_0$ : p = 0.013 {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, $H_A$ : p > 0.013 {means that this is an unusually high number of faulty modems}

The test statistics that would be used here One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion faulty modems= $\frac{10}{367}$ = 0.027

n = sample of modems = 367

So, the test statistics = $\frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }$

= 2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that this is an unusually high number of faulty modems.

6 0

3 years ago

Given the expression (−2x2)(3x)(x), Jose says that different products occur if the order of the quantities being multiplied chan

Kaylis [27]

Answer:

Jose is incorrect.

Step-by-step explanation:

Using the communitive property, you can rearrange (-2x2), (3x), and (x) in the problem and get the same product. You can rearrange it to (3x)(x)(-2x2). You can rearrange it to (3x)(-2x2)(x). Now matter where you rearrange them, the equation will always have the same product.

3 0

2 years ago

Given: M(-4,-1), B(-5,-3) find the midpoint

Dmitry [639]

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
M&({{ -4}}\quad ,&{{ -1}})\quad 
% (c,d)
B&({{ -5}}\quad ,&{{ -3}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ -5}}-4}{2}\quad ,\quad \cfrac{-3-1}{2} \right)$

4 0

3 years ago

Read 2 more answers

Mr. Jones is getting a 6% raise. If he made $720 a week, how much more will he make with the raise?

kirill115 [55]

$720 * .06 = 43.2

He will make $43.20 more each week.

7 0

3 years ago

Find the value of x. Please help. I am confused

Oxana [17]

Answer:

x=30

Step-by-step explanation:

Exterior Angle Theorem = the exterior angle of a triangle is equal to the sum of the two opposite interior angle

Thus, 2x+6+36=4x-18

2x+42=4x-18 add 18 to both side

2x+60=4x minus 2x

60=2x

x=30

7 0

2 years ago