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OlgaM077 [116]
3 years ago
8

A building contractor buys 7070​% of his cement from supplier A and 3030​% from supplier B. A total of 9595​% of the bags from A

arrive​ undamaged, while 7070​% of the bags from B arrive undamaged. Find the probability that anan undamagedundamaged bag is from supplier Upper AA.
Mathematics
1 answer:
tatiyna3 years ago
8 0

Title:

<h2>The answer is \frac{133}{174}.</h2>

Step-by-step explanation:

Let the building contractor bought 1000 cement in total.

70% of 1000 = 700 cements were from A and (1000 - 700) = 300 cements were from B.

The number of undamaged bag from A was 95% of 700 = \frac{95}{100} \times700 = 7\times95 = 665 and the number of undamaged bags from B was 70% of 300 = \frac{70}{100} \times300 = 210.

Total undamaged bags were (665 + 210) = 870.

The probability that an undamaged bag is from A is \frac{665}{870} = \frac{133}{174}.

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Write an equation in slope for a line that passes through (3,4) (and has a y intercept of -8)
Vlad [161]

Answer:

Part 1) The equation in slope intercept form is y=4x-8

Step-by-step explanation:

Part 1) Write an equation in slope-intercept form for a line that passes through (3,4) (and has a y intercept of -8)

we know that

The equation of a line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

b=-8

point\ (3,4)

substitute

4=m(3)-8

solve for m

4+8=3m

3m=12

m=4

therefore

y=4x-8

5 0
3 years ago
The graph of F(x) shown below has the same shape as the graph of G(x) = x^2 but it is shifted down 5 units and to the left 4 uni
grandymaker [24]

\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis}

\bf \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}


with that template in mind, let's see

down by 5 units, D = -5

to the left by 4 units, C = +4


\bf G(x)=x^2\implies G(x)=1(1x+\stackrel{C}{0})^2+\stackrel{D}{0} \\\\\\ \begin{cases} D=-5\\ C=+4 \end{cases}\implies F(x)=1(1x+\stackrel{C}{4})^2\stackrel{D}{-5}\implies F(x)=(x+4)^2-5

5 0
3 years ago
The water was pumped out of a backyard pond. What is the domain of this<br> graph?
nignag [31]
The correct answer to your question is C.
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3 years ago
Read 2 more answers
Jerry is a judge. he hears 5 cases every 2 3/8 hours how many cases does he haer per hour
vampirchik [111]

Answer:

2 2/19

Step-by-step explanation:

5 cases in 2 3/8 hours

The unit rate of cases per hour is calculated by dividing the number of cases by the number of hours.

5/(2 3/8) = 5/(19/8) = 5 * 8/19 = 40/19 = 2 2/19

7 0
3 years ago
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Alik [6]

Answer:

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b) We have to find X when Z has a p-value of \frac{a}{100}, and X is given by: X = \mu - Z\sigma, in which \mu is the mean and \sigma is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean \mu, standard deviation \sigma

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean and \sigma is the standard deviation.

b. If the length of pregnancy is in the lowest a​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

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8 0
3 years ago
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