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4 years ago

3X-7>5 SOLVE THIS INEQUALITY PLEASE

Mathematics

1 answer:

Alja [10]4 years ago

7 0

3x - 7 > 5
+7 on both sides
3x > 12
/3 on both sides
x > 4

Answer:
x > 4

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At a certain non-profit organization, 51% of employees are college graduates and 47% of employees have more than ten years of ex

Lady bird [3.3K]

Answer: 0.21

Step-by-step explanation:

Let A denotes the event that employees are college graduates.

B denotes that the event that employees have more than ten years of experience.

As per given , we have

P(A)=0.51

P(B)=0.47

P(A∪B)=0.77

We know that , $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

$0.77=0.51+0.47-P(A\cap B)$

$P(A\cap B)=0.51+0.47-0.77=0.21$

Hence, the probability that a randomly selected employee will have more than ten years of experience and be a college graduate = 0.21

8 0

3 years ago

Eight less than the product of three and a number is twenty-two

aleksandr82 [10.1K]

Answer:

The number is 10.

Step-by-step explanation:

Given that if we product 3 with a number and then subtract eight from it then we will get twenty-two.

So, if the number is x, then by the condition given we can write

3x - 8 = 22

This is a linear equation of single variable x, so it will have a single solution.

Now, 3x - 8 = 22

⇒ 3x = 30

⇒ x = 10 (Answer)

4 0

3 years ago

The length of a rectangle is 2 inches more than 4 times the width. The perimeter is 64 inches. Find the length and the width.

pashok25 [27]

<span>The width is 6 inches and the length is 26 inches.

Explanation:
L=4w+2, since the length is 2 more than 4 times the width.

The perimeter is given by P=2L+2w; using our equation for L, we have
P=2(4w+2)+2w.

Using the distributive property, we have
P=2*4w+2*2+2w
P=8w+4+2w.

Combining like terms, we have P=10w+4.

We know the perimeter is 64, so we have
64=10w+4.

Subtract 4 from both sides:
64-4=10w+4-4
60=10w.

Divide both sides by 10:
60/10 = 10w/10
6=w.

Substitute this into the equation for length: L=4*6+2=24+2=26</span>

5 0

3 years ago

Read 2 more answers

A blood bank needs 7 people to help with a blood drive. 17 people have volunteered. Find how many different groups of 7 can be f

Andreas93 [3]

Answer:

ay no sirrr

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

You want to estimate the proportion of kids between the ages of 12 and 15 who have tried marijuana. You take a random sample of

kirill115 [55]

<h2>Answer with explanation:</h2>

Let p represents the population proportion.

By considering the given information, we have

$H_0: p=0.29\\\\H_a: p\neq0.29$

∵ the alternative hypothesis is two tailed , so the test is two-tailed test.

Given : For sample size :n= 130, $\hat{p}=0.23$

Test statistic: $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

$z=\dfrac{0.23-0.29}{\sqrt{\dfrac{0.29(1-0.29)}{130}}}\\\\=-1.50762993902\approx-1.51$

P-value (two -tailed test)= $2P(z>|-1.51|)=0.1310434\approx 0.131$

Since , the p-value (0.131) is greater than the significance level (0.03), so we accept the null hypothesis.

Thus , we conclude that we have sufficient evidence to support the null hypothesis that the true population proportion of Maryland students who have smoked marijuana is 29% .

5 0

3 years ago