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Svetradugi [14.3K]
3 years ago
15

5x < -10 please help me and solve this so I don't fail

Mathematics
1 answer:
Setler [38]3 years ago
4 0

Answer:

x<-2

Step-by-step explanation:

Divide both sides of the inequality by 5 to solve for x.

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Answer:

tip = $23.55

Step-by-step explanation:

156.98 x 0.15 = 23.55

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2 years ago
:<br> Which is the solution to –7x &gt; 49?
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X < -7
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3 years ago
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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.

5 0
2 years ago
There are 4 red, 8 yellow, and 6 blue socks in a drawer. Once a sock is selected, it is not replaced. Find the probability of re
mote1985 [20]

Answer:

11/306

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to  the  number of total outcome.

Given that  there are 4 red, 8 yellow, and 6 blue socks in a drawer where the  probability of  picking a red, yellow and blue socks be  p(r), p(y), and p(b) respectively.

The probability of reaching into the drawer without looking and drawing out 2 blue socks

= 6/(4 + 8 + 6) * 5/(4 + 8 + 5)

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8 0
3 years ago
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Answer:

r=28

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36/42 = 24/r (determine the defined range)

36/42 = 24/r , r ≠ 0 ( Reduce the fraction)

6/7 = 24/r (cross multiply)

6x = 168 ( divide both sides)

r=28 , r ≠ 0

7 0
2 years ago
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