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Ira Lisetskai [31]
3 years ago
13

-4 = r/20 -5Solve for r. Show your steps​

Mathematics
2 answers:
Delvig [45]3 years ago
3 0
-4 = r/20 - 5

Add 5 to both sides

1 = r/20

Multiple by 20 on both sides

20 = r
Paladinen [302]3 years ago
3 0

Answer:

r = 20

Explanation:

-4 = r/20 - 5

  • Simplify both sides of the equation

-4 = r/20 - 5

-4 = 1/20r + -5

-4 = 1/20r - 5

  • Flip the equation

1/20r - 5 = -4

  • Add 5 to both sides

1/20r - 5 + 5 = -4 + 5

1/20r = 1

  • Multiply both sides of the equation by 20

(20)1/20r = 1(20)

  • r = 20
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Is 10.846 an integer ​
yulyashka [42]

Hello!

An integer is defined as a number which is not a fraction or irrational. It should be able to be written out as just a number, without a decimal point or additional fraction. (It can have a negative sign) For example, a few integers would be 2, 5, -8, and 9109, while some non-integers would be 3.1, 3 3/2, and 5i.

In this case, 10.846 is not an integer, as it has a decimal.

Hope this helps!

3 0
3 years ago
A personnel director in a particular state claims that the mean annual income is the same in one of the​ state's counties​ (Coun
Shalnov [3]

Answer:

a) The hypothesis that the mean annual income is the same could not be rejected. There is no enough evidence to claim they are different.

b) The critical values for this two-sided test are t=±1.711.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>(a) Identify the claim and state  H0  and  Ha. </em>

<em> Which is the correct claim​ below?</em>

<em>(b) Find the critical​ value(s) and identify the rejection​ region(s). </em>

<em> Enter the critical​ value(s) below.</em>

We have an hypothesis test on the difference of two means.

The null and alternative hypothesis are:

H_0: \mu_a-\mu_b=0\\\\H_a: \mu_a-\mu_b\neq 0

The claim of the alternative hypothesis is that the mean annual income is different in County A and County B.

The null hypothesis is that the mean annual income is equal in both counties.

The significance level is α=0.10.

The sample from County A has a mean of S40,400, a s.d. of $8,700 and a sample size of 18 residents.

The sample from County B has a mean of S39,200, a s.d. of $6,000 and a sample size of 8 residents.

The standard error of the difference of means is:

\sigma_d=\sqrt{\frac{\sigma_a^2}{n_a}+\frac{\sigma_b^2}{n_b}}=\sqrt{\frac{8700^2}{18}+\frac{6000^2}{8}}=\sqrt{8705000}=2950

The degrees of freedom are:

df=n_a+n_b-2=18+8-2=24

Then, the test statistic is:

t=\frac{\Delta M-\Delta \mu}{\sigma_d} =\frac{(40,400-39,200)-0}{2950} =\frac{1200}{2950}=0.407

For a statistic t=0.407, and df=24, the P-value is P=0.69. As the P-value is bigger than the significance level, the null hypothesis failed to be rejected.

If we would use the critial value approach, we would have to calculate the critical values for t, for df=24, two sided test and α=0.10.

The critical values, looking in a table, are t=1.711.

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Answer: #2

Step-by-step explanation:

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