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3 years ago

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A 50-fluid ounce bottle of laundry detergent washes 32 loads of laundry. A 100-fluid ounce bottle washes 60 loads of laundry. Ar

e they proportional?

1 answer:

Alex3 years ago

7 0

Answer:

I think that the answer in NO

Step-by-step explanation:

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According to American Airlines, flight 71098 from New York to Los Angeles is on time 88.9% of the time. Assume that we randomly

katovenus [111]

Using the normal approximation to the binomial, it is found that the probabilities are given as follows:

a) 0.0055 = 0.55%.

b) 0.2296 = 22.96%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with $\mu = np, \sigma = \sqrt{np(1-p)}$ .

The parameters of the binomial distribution are given as follows:

n = 150, p = 0.889.

Hence the mean and the standard deviation of the approximation are:

$\mu = E(X) = np = 150 x 0.889 = 133.35$ .

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{150(0.889)(0.111)} = 3.8473$

Item a:

Using continuity correction, the probability is P(123.5 < X < 124.5), which is the <u>p-value of Z when X = 124.5 subtracted by the p-value of Z when X = 123.5</u>, hence:

X = 124.5:

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

$Z = \frac{124.5 - 133.35}{3.8473}$

Z = -2.3

Z = -2.3 has a p-value of 0.0107.

X = 123.5:

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

$Z = \frac{123.5 - 133.35}{3.8473}$

Z = -2.56

Z = -2.56 has a p-value of 0.0052.

Hence the probability is 0.0107 - 0.0052 = 0.0055 = 0.55%.

Item b:

The probability is P(112.5 < X < 130.5), which is the <u>p-value of Z when X = 130.5 subtracted by the p-value of Z when X = 112.5</u>, hence:

X = 130.5:

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

$Z = \frac{130.5 - 133.35}{3.8473}$

Z = -0.74

Z = -0.74 has a p-value of 0.2296.

X = 112.5:

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

$Z = \frac{112.5 - 133.35}{3.8473}$

Z = -5.42

Z = -5.42 has a p-value of 0.

Hence the probability is 0.2296 - 0 = 0.2296 = 22.96%.

More can be learned about the normal approximation to the binomial at brainly.com/question/14424710

#SPJ1

5 0

1 year ago

If right I’ll mark brainiest if u have questions put it in the comments

Vika [28.1K]

Answer:

The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Hey how would you put this in a system equation and using the Elimination method. Thank you❤

denpristay [2]

$\bf \begin{cases}
t=tacos\\
m=milk
\end{cases}~\hspace{7em}
\begin{cases}
\stackrel{1~taco}{t}+\stackrel{1~glass}{m}=\stackrel{\$}{2.10}\\[0.8em]
\stackrel{2~tacos}{2t}+\stackrel{3~glasses}{3m}=\stackrel{\$}{5.15}
\end{cases}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\begin{array}{llll}
t+m=2.10&\stackrel{multiplied~by}{\times -3}\implies &\stackrel{notice}{-3t\stackrel{\downarrow }{-3m}=-6.3}\\[0.8em]
2t+3m=5.15&\implies &~~2t+3m=5.15\\
\cline{3-3}
&&-t+0m=-1.15
\end{array}
\\\\[-0.35em]
~\dotfill$

$\bf -t=-1.15\implies t=\cfrac{-1.15}{-1}\implies \blacktriangleright t=1.15 \blacktriangleleft
\\\\\\
\stackrel{\textit{and now substituting on the 2nd equation}}{2(1.15)+3m=5.15}\implies 2.3+3m=5.15
\\\\\\
3m=2.85\implies m=\cfrac{2.85}{3}\implies \blacktriangleright m=0.95 \blacktriangleleft$

notice, we used -3 in the multiplication to <u>eliminate</u> the m's.

6 0

3 years ago

Read 2 more answers

HeLLPPPP PLLLSs!!!!!

zubka84 [21]

Answer:

(x+1)(3x^3+2x^2-4x+4)

Step-by-step explanation:

I hope this helps!

7 0

3 years ago

Round each number to the nearest million, thousand, and ten

yawa3891 [41]

Answer:

1)

<em> </em><em>a</em><em>.</em><em> </em>4,000,000

<em>b</em><em>.</em><em> </em>4,327,000

<em>c</em><em>.</em><em> </em>4,326,800

2)

<em>a</em><em>.</em><em> </em>30,000,000

<em>b</em><em>.</em> 29,727,000

<em>c</em><em>.</em><em> </em>29,726,520

3)

<em>a</em><em>.</em> 3,000,000

<em> </em><em>b</em><em>.</em><em> </em>2,867,000

<em>c</em><em>.</em> 2,867,000

Step-by-step explanation:

i mean,,

7 0

3 years ago