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ra1l [238]
3 years ago
15

Simplify 9x + 4(x + 2) - 5:

Mathematics
2 answers:
Yakvenalex [24]3 years ago
6 0

9x + 4(x + 2) - 5

mutiply the bracket by 4

(4)(x)= 4x

(4)(2)= 8

9x+4x+8-5

9x+4x= 13x

8-5= 3

answer:

13x+3 or 3+13x

densk [106]3 years ago
3 0

Answer:

9x + 4(x+2) - 5

9x + 4x + 8 - 5

13x + 3

Step-by-step explanation:

I hope this helps!

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The solution to the Questions are

  • The alternate hypothesis demonstrates that there are two possible outcomes for the test.
  • Decision rule: If z > 2.05 or z<-2.05, reject H0
  • z=2.59
  • The two-tailed nature of the test is shown by the alternative hypothesis.
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<h3>What is the alternate hypothesis?</h3>

(a)

The alternate hypothesis demonstrates that there are two possible outcomes for the test.

(b)

Here we have

n_{1}=40,\\\\ \bar{x}_{1}=102,\sigma_{1}=5,n_{2}=50,\bar{x}_{2}=99,\sigma_{2}=6

(b)

Here the test is two-tailed. So for \alpha =0.04, the critical values of the z-test are -2.05 and 2.05.

Decision rule: If z > 2.05 or z<-2.05, reject H0

(c)

Test statistics will be

z=\frac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu_{2})}{\sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}}  \\\\\\z=\frac{(102-99)-(0)}{\sqrt{\frac{5^{2}}{40}+\frac{6^{2}}{50}}}

z=2.59

(d)

The two-tailed nature of the test is shown by the alternative hypothesis.

(e)

The result of the test yields the following P-value: 0.0096

Read more about P-value

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