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earnstyle [38]
2 years ago
12

Please help me with this question :(

Mathematics
1 answer:
stiv31 [10]2 years ago
8 0

Answer:

∠1 and ∠3 as well as ∠5 and ∠7 are corresponding

∠2 and ∠7 are alternate

Step-by-step explanation:

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Which of the following is the simplest form of this expression?
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The numerator could be written a⁴/⁵

The denominator could be written a²/³


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This is the simplest way
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Identify 2 objects you could find in a grocery store that holds more than 100 milliliters
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Milk carton
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If a+b=5 and a-b=4 then b^2-a^2 =
Anna007 [38]

Answer:

a + b = 5 \\ a \:  = 5 - b \\  a - b = 4 \\ 5 - b - b = 4 \\ 5 - 2b = 4 \\ 5 - 4 = 2b \\ 1 = 2b \\  \frac{1}{2}  =  \frac{2b}{2}  \\0.5 = b \\  b = 0.5 \\ a = 5 - b \\  = 5 - 0.5 \\  = 4.5 \\  {a \: }^{2}  -  {b}^{2}  = ( {4.5}^{2})  - (  {0.5}^{2} )  \\  = 20.25 - 0.25 \\  = 20 \\  {a}^{2}  -  {b}^{2}  = 20

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY.

5 0
2 years ago
Why is -1 3/8 a rational number but not a integer?
olga_2 [115]

Answer:

because it is not a whole number

Step-by-step explanation:

5 0
2 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
2 years ago
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