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3 years ago

3(x+4) - 6x < -9 what my anwer show work

Mathematics

2 answers:

DerKrebs [107]3 years ago

8 0

3x + 12 - 6x < -9
-3x +12 < -9
-3x < -21
x < 7

Scilla [17]3 years ago

6 0

Simplifying 2(x + 2x + -2) = 17 Reorder the terms: 2(-2 + x + 2x) = 17 Combine like terms: x + 2x = 3x2(-2 + 3x) = 17 (-2 * 2 + 3x * 2) = 17 (-4 + 6x) = 17 Solving -4

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Which of the following is a correct interpretation of the expression -4 + 13−4+13minus, 4, plus, 13?

7nadin3 [17]

Answer:

Step-by-step explanation:

-4 + 13 - 4 + 13 - 4 + 13

9 - 4 + 13 - 4 + 13

5 + 13 - 4 + 13

18 - 4 + 13

14 + 13

6 0

2 years ago

There is strong believe that language skills of Political science students are greater than students who study Finance. Research

BaLLatris [955]

Answer:

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 > \mu_2$

$p-value = 0.232$

The decision rule is

Fail to reject the null hypothesis

Step-by-step explanation:

From the question we are told that

The value given is

S/N

1 7 5

2 4 3

3 8 7

4 8 8

5 7 9

6 7 5

7 6 5

Generally the sample mean for the first sample is mathematically represented as

$\= x _1 = \frac{\sum x_i }{n}$

=> $\= x _1 = \frac{7 +4 + \cdots + 6}{7}$

=> $\= x _1 = 6.714$

Generally the sample mean for the second sample is mathematically represented as

$\= x _2 = \frac{\sum x_i }{n}$

=> $\= x _2 = \frac{5 + 3+ \cdots + 5}{7}$

=> $\= x _2 = 6$

Generally the sample standard deviation for the first sample is mathematically represented as

$s_1 = \sqrt{\frac{\sum (x_i - \= x_1)^2 }{n-1 } }$

=> $s_1 = \sqrt{\frac{ (7 - 6.714 )^2 +(4 - 6.714 )^2 + \cdots + (6 - 6.714 )^2 }{7-1 } }$

=> $s_1 = 1.905$

Generally the sample standard deviation for the second sample is mathematically represented as

$s_2 = \sqrt{\frac{\sum (x_i - \= x_2)^2 }{n-1 } }$

=> $s_2 = \sqrt{\frac{ (5 - 6.714 )^2 +(3 - 6.714 )^2 + \cdots + (5 - 6.714 )^2 }{7-1 } }$

=> $s_1 = 4.33$

Generally the pooled standard deviation is

$s = \sqrt{\frac{(n_1 - 1 )s_1^2 + (n_2 - 1 )s_2^2}{n_1 + n_2 -2 } }$

=> $s = \sqrt{\frac{(7 - 1 )1.905^2 + (7 - 1 )4.333^2}{7 + 7 -2 } }$

=> $s = 1.766$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 > \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x _1 - \= x_2 }{s * \sqrt{\frac{1}{n_1} + \frac{1}{n_2}} }$

=> $t = \frac{6.714 - 6 }{1.766 * \sqrt{\frac{1}{7} + \frac{1}{7}} }$

=> $t = 0.757$

Generally the degree of freedom is mathematically represented as

$df = n_1 + n_2 - 2$

=> $df = 7 + 7 - 2$

=> $df = 12$

From the t distribution table the probability of $t = 0.757$ at a degree of freedom of $df = 12$ is

$t_{ 0.757 , 12} = 0.232$

Generally the p-value is

$p-value = t_{ 0.757 , 12} = 0.232$

From the values obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

8 0

3 years ago

Which expression is equivalent to 36a-12b? 3(6a-2b). 6(6a-2b). 3(6a+2b). 6(6a+2b)

Maurinko [17]

Answer:

6(6a-2b)

Step-by-step explanation:

4 0

2 years ago

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Solve for x 510 (2x + 3) 65% 60° 64° 43 (3x - 1)º

marshall27 [118]

Answer:

2x plus 3 hope this helps. Mark as brainlist

5 0

2 years ago

Please help me !!! I will give you brainliest !!!!

MatroZZZ [7]

Sorry if it's wrong, I tried

6 0

2 years ago

Read 2 more answers