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miskamm [114]
3 years ago
7

Worth 50 points if you help Plz it’s due in 3 hours it’s math and show ur work plz

Mathematics
2 answers:
vodomira [7]3 years ago
5 0

Answer:

1 We set z=-4

(2*-4 + b)(-4 - 3) = 0

(-8 + b)(-7) = 0

Set the factor (-8 + b) equal to 0.

-8 + b = 0

Solving for b, we get 8

b = 8

2We simplify the equation to the form, which is simple to understand  

6x-12=51-3x

We move all terms containing x to the left and all other terms to the right.  

+6x+3x=+51+12

We simplify left and right side of the equation.  

+9x=+63

We divide both sides of the equation by 9 to get x.  

x=7

3 Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 6x = 35 + -8

Combine like terms: 8 + -8 = 0

0 + 6x = 35 + -8

6x = 35 + -8

Combine like terms: 35 + -8 = 27

6x = 27

Divide each side by '6'.

x = 4.5

Simplifying

x = 4.5

4 Combine like terms: 6x + x = 7x

14 + 7x = 70

Solving

14 + 7x = 70

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + 7x = 70 + -14

Combine like terms: 14 + -14 = 0

0 + 7x = 70 + -14

7x = 70 + -14

Combine like terms: 70 + -14 = 56

7x = 56

Divide each side by '7'.

x = 8

Simplifying

x = 8

5 15-4=11+3=14

19-14= x=5

6Combine like terms: -2 + 10 = 8

8 + 6x + 8x = 8

Combine like terms: 6x + 8x = 14x

8 + 14x = 8

Add '-8' to each side of the equation.

8 + -8 + 14x = 8 + -8

Combine like terms: 8 + -8 = 0

0 + 14x = 8 + -8

14x = 8 + -8

Combine like terms: 8 + -8 = 0

14x = 0

Solving

14x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '14'.

x = 0

Simplifying

x = 0

7idk sorry

8Solving

0.8 + 0.4x = 2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.8' to each side of the equation.

0.8 + -0.8 + 0.4x = 2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0

0.0 + 0.4x = 2 + -0.8

0.4x = 2 + -0.8

Combine like terms: 2 + -0.8 = 1.2

0.4x = 1.2

Divide each side by '0.4'.

x = 3

Simplifying

x = 3

Step-by-step explanation:

i hope this is right good luck

Marysya12 [62]3 years ago
5 0

Answer:

1. Z = -5

2. x = 13

3. x = 4.5

4. x = 8

5. x = -4

6. x = 0

7. y = 69

8. x = 3

Step-by-step explanation:

1. -2 = 2z + 8

2z = -10

z = -5

2. 3x = 39

x = 13

3. 3x + 4 = 17.5

3x = 13.5

x = 27/6 = 4.5

4. 6x + 14 + x = 70

7x = 56

x = 8

5. 15 - 4x - 12 = 19

-4x = 16

x = -4

6. 6x - 2 + 8x + 10 = 8

14x = 0

x = 0

7. 5y + 15 = 360

5y = 345

y = 69

8. 0.4x + 0.8 = 2

0.4x = 1.2

x = 3

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No, political science classes does not require less writing than history classes.

Step-by-step explanation:

We are given that the 55 randomly selected political science classes assigned an average of 19.6 pages of essay writing for the course. The standard deviation for these 55 classes was 4.8 pages.

The 50 randomly selected history classes assigned an average of 20.2 pages of essay writing for the course. The standard deviation for these 50 classes was 3.3 pages.

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Alternate Hypothesis, H_A : \mu_1-\mu_2  or  \mu_1   {means that political science classes require less writing than history classes}

The test statistics that will be used here is <u>Two-sample t test statistics</u> as we don't know about the population standard deviations;

                     T.S.  = \frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}  } }  ~ t__n__1+_n__2-2

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s_2 = sample standard deviation for history classes = 3.3 pages

n_1 = sample of selected political science classes = 55

n_2 = sample of selected history classes = 50

Also, s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2}  }{n_1+n_2-2} }  =  \sqrt{\frac{(55-1)\times 4.8^{2}+(50-1)\times 3.3^{2}  }{55+50-2} }  = 4.154

So, <u><em>the test statistics</em></u>  =  \frac{(19.6-20.2)-(0)}{4.154 \times \sqrt{\frac{1}{55}+\frac{1}{50}  } }  ~  t_1_0_3

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<em>Now at 0.01 significance level, the t table gives critical value of -2.367 at 103 degree of freedom for left-tailed test. Since our test statistics is more than the critical value of t as -0.739 > -2.367, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that political science classes require more or equal writing than history classes.

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