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yarga [219]
2 years ago
13

What is 2(x+5)<4+5x can i please get answer fast?

Mathematics
1 answer:
Korolek [52]2 years ago
4 0

Answer:

x > 2

Step-by-step explanation:

2(x+5) = 2x + 10 -> 2x + 10 < 4+5x

Subtract 4 from each side.
2x +6 < 5x
Subtract 2x from each side
6 < 3x
2<x

So, x must be > 2

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c and d

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3 years ago
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Sixty-two more than nine times a number 116
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Answer:

62>(9*116)

Step-by-step explanation:

7 0
3 years ago
What is the surface area of a cylinder that has the following measurements? area of each base: 50.24 ft2 area of lateral surface
irinina [24]

Answer:

TSA = 175.84 ft²

Step-by-step explanation:

We are given;

Lateral surface area; A_L = 75.36 ft²

Area of base; A_b = 50.24 ft²

Height of cylinder; h = 3ft

Formula for total surface area of Cylinder is;

TSA = 2πr² + 2πrh

Now, lateral surface area is given by the formula; A_L = 2πrh

Area of base is given by the formula;

A_b = πr²

Thus, let's apply these 2 formulas to the formula for total surface area;

TSA = 2(Area of base) + Lateral surface area

TSA = (2 * 50.24) + 75.36

TSA = 175.84 ft²

3 0
3 years ago
2.A production process manufactures items with weights that are normally distributed with mean 10 pounds and standard deviation
Vesna [10]

Answer:

Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

sample mean = 9.8 < x > 10.2

The z score can be computed as:

z = \dfrac{\bar x - \mu}{\sigma}

if x > 10.2

z = \dfrac{10.2- 10}{0.1}

z = \dfrac{0.2}{0.1}

z = 2

If x < 9.8

z = \dfrac{9.8- 10}{0.1}

z = \dfrac{-0.2}{0.1}

z = -2

The p-value = P (z ≤ 2) + P (z ≥ 2)

The p-value = P (z ≤ 2) + ( 1 -  P (z ≥ 2)

p-value = 0.022750 +(1 -   0.97725)

p-value = 0.022750 +  0.022750

p-value = 0.0455

Therefore; the probability of defectives  = 4.55%

the probability of acceptable = 1 - the probability of defectives

the probability of acceptable = 1 - 0.0455

the probability of acceptable = 0.9545

the probability of acceptable = 95.45%

4.55% are defective or 95.45% is acceptable.

sampling distribution of proportions:

sample size n=1000

p = 0.0455

The z - score for this distribution at most 5% of the items is;

z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = −15.86

p-value = P(z ≥  -15.86)

p-value = 1 - P(z <  -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

6 0
3 years ago
There are 200 9th graders in the freshman class. 2/5 of the students are girls. How
alekssr [168]

Answer: 80

Step-by-step explanation:

7 0
2 years ago
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