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3 years ago

Algebra 1. i just need help with understanding multiple step equations like...

Mathematics

2 answers:

Lapatulllka [165]3 years ago

4 0

$72+4-14d=36 \\\\ 76-14d=36 \\\\ 14d=36-76 \\\\ -14d=-40 \ |:(-2) \\\\ 7d=20 \\\\ \boxed{d=\frac{20}{7}}$

11111nata11111 [884]3 years ago

4 0

$72+4-14d=36\\
-14d=-40\\
d=\frac{40}{14}=\frac{20}{7}$

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Twenty-five percent of what number is 80?

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D3<br> Find two numbers between 100 and<br> 150 that have a HCF of 22.

vesna_86 [32]

The first two numbers between 100 and 150 that have a HCF of 22 are 110 and 132

<h3>Highest common factors</h3>

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

According to the question, we are to find two numbers between 100 and

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1 year ago

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) Standard deviation of 23 bags

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b) P( fill volume of 23 bags is below 5.95 ounces)

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$P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)$

$= 1 - P(z < 12.57)$

Calculation the value from standard normal z table, we have,

$P(x < 5.95) = 1 - 1 = 0$

c) P( fill volume of 23 bags is below 6 ounces) = 0.001

P(x < 6) = 0.001

$P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})$

Calculation the value from standard normal z table, we have,

$P( z \leq -3.09) = 0.001$

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If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

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3 years ago

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