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3 years ago

How do you simplify the inequality 4x-7>1

1 answer:

4 0

Solve it like an equation

4x-7>1
+7 +7

(-7+7)= 0 They cancel each other.

(1+7)=8

4x>8
/4 /4

(4/4) Cross it out, since they are both the same number. So, you stay with x.

(8÷4)= 2

You get x>2

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Montell gets $10.50 each week for doing yard work for his neighbors. He has earned $63 so far. Write and solve an equation to fi

Ilia_Sergeevich [38]

Answer:

10.50x = 63

You'll divide 63 by 10.50 to get 6 weeks.

8 0

4 years ago

Someone claims that the breaking strength of their climbing rope is 2,000 psi, with a standard deviation of 10 psi. We think the

denpristay [2]

Answer:

The sample size must be greater than 37 if we want to reject the null hypothesis.

Step-by-step explanation:

We are given that someone claims that the breaking strength of their climbing rope is 2,000 psi, with a standard deviation of 10 psi.

Also, we are given a level of significance of 5%.

Let $\mu$ = mean breaking strength of their climbing rope

SO, Null Hypothesis, $H_0$ : $\mu$ = 2,000 psi {means that the mean breaking strength of their climbing rope is 2,000 psi}

Alternate Hypothesis, $H_A$ : $\mu$ < 2,000 psi {means that the mean breaking strength of their climbing rope is lower than 2,000 psi}

Now, the test statistics that we will use here is One-sample z-test statistics as we know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = ample mean strength = 1,997.2956 psi

$\sigma$ = population standard devaition = 10 psi

n = sample size

Now, at the 5% level of significance, the z table gives a critical value of -1.645 for the left-tailed test.

So, to reject our null hypothesis our test statistics must be less than -1.645 as only then we have sufficient evidence to reject our null hypothesis.

SO, T.S. < -1.645 {then reject null hypothesis}

$\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < -1.645$

$\frac{1,997.2956-2,000}{\frac{10}{\sqrt{n} } } < -1.645$

$(\frac{1,997.2956-2,000}{10}) \times {\sqrt{n} } } < -1.645$

$-0.27044 \times \sqrt{n}< -1.645$

$\sqrt{n}> \frac{-1.645}{-0.27044}$

$\sqrt{n}>6.083$

n > 36.99 ≈ 37.

SO, the sample size must be greater than 37 if we want to reject the null hypothesis.

7 0

4 years ago

XD Plzzzzzz do 2 slides (4 problems)

Leya [2.2K]

Answer:

Slide 1:

1. Solution = (-3,2)

y = 2x - 1

y = 3/2x + 6

2. No solution

y = -4/2x + 4

y = -4/2x - 5

Slide 2:

3. Solution = (1, -6) ONE SOLUTION

4. Solution = (-4, -1) ONE SOLUTION

p.s i attached the graphs for problems 3 and 4. The first picture is for problem 3 and the second picture is for problem 4

I really hope this helped :)

6 0

3 years ago

Is the sequence 2, 1, 1/2, 1/4,.. A)arithmetic B) geometric C) both D)neither

Sonbull [250]

The given sequence is a geometric sequence. The property of geometric sequence is that each term is multiplied by a specific number known as "common ratio" to get the next term. In this case the common ratio is 1/2.
2 x 1/2 = 1
1 x 1/2 = 1/2
1/2 x 1/2 = 1/4
and so on..

6 0

3 years ago

This rule applies: rational + __________ = irrational.

Vaselesa [24]

Answer:

Rational+irrational =irrational is your answer.

Step-by-step explanation:

Hope it will help you :)

3 0

4 years ago