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Norma-Jean [14]
2 years ago
14

Which expression is equivalent to ( 11 x − 8 ) + ( 7 − 4 x ) ?

Mathematics
1 answer:
dlinn [17]2 years ago
6 0

Answer:

7x-1

Step-by-step explanation:

Use commutative property:

(11x-4x) + (-8+7) = 7x-1

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A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b
nata0808 [166]

Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

p = 0.1

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

We need a sample size of at least n, in which n is found M = 0.04.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.1*0.9}{n}}

0.04\sqrt{n} = 0.588

\sqrt{n} = \frac{0.588}{0.04}

\sqrt{n} = 14.7

(\sqrt{n})^{2} = (14.7)^{2}

n = 216

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

7 0
3 years ago
What is 36.993 to the nearest thousandth
finlep [7]

The next larger thousandth is 36.994 .
The next smaller thousandth is  36.992 .
Neither of those is any nearer to  36.993
than  36.993  already is.

The last '3' at the end of 36.993 is in the thousandths' place.
There is no more piece of another thousandth after it.
So  36.993 is already on a complete thousandth, and
there's no rounding required.

7 0
3 years ago
Will mark brainliest !!!
Wittaler [7]

Answer:

just mark points it is very easy

5 0
3 years ago
1 What is the value of x in the equation 8x - 5(x - 1) = 20?
fiasKO [112]

Answer:

x = 5

Step-by-step explanation:

1. Expand

    8x - 5x + 5 = 20

2. Simplify

    3x + 5 = 20

3. Subtract 5 from both sides

    3x = 20 - 5

4. Simplify

    3x = 15

5. Divide both sides by 3

    x = 15/3

6. Simplify

    x = 5

8 0
3 years ago
I GIVEEEEE BRAINLILSTE
charle [14.2K]

Answer:

20.4cm²

Step-by-step explanation:

base= 10.2

height= 2

10.2×2=20.4cm²

3 0
3 years ago
Read 2 more answers
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