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Alik [6]
2 years ago
15

Kendra washes windows in an office building. She washes 2/5 of the windows on Monday. She washes 1/3 of the windows on Tuesday.

What fraction of the windows remain for Kendra to wash?
Mathematics
2 answers:
Svet_ta [14]2 years ago
8 0
First, u find conman denominator which is 15 so 2/5=6/15 & 1/3=5/15, which adds up to 11/15, so the remaining fraction that kendrs has to wash is 4/15
Dominik [7]2 years ago
7 0

Answer:

\texttt{Fraction of the windows remain for Kendra to wash = }\frac{4}{15}

Step-by-step explanation:

Kendra washes windows in an office building. She washes 2/5 of the windows on Monday. She washes 1/3 of the windows on Tuesday.

Let w be the total number of windows.

\texttt{Windows washed on Monday = }\frac{2}{5}w\\\\\texttt{Windows washed on tuesday = }\frac{1}{3}w

\texttt{Total number of windows washed on Monday and Tuesday = }\frac{2}{5}w+\frac{1}{3}w\\\\\texttt{Total number of windows washed on Monday and Tuesday = }\frac{6+5}{15}w\\\\\texttt{Total number of windows washed on Monday and Tuesday = }\frac{11}{15}w

Remaining number of windows to be washed = Total number of windows - Total number of windows washed on Monday and Tuesday

\texttt{Remaining number of windows to be washed =}w-\frac{11}{15}w=\frac{4}{15}w

\texttt{Fraction of the windows remain for Kendra to wash = }\frac{4}{15}

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The mean life of a television set is 119119 months with a standard deviation of 1414 months. If a sample of 7474 televisions is
Pepsi [2]

Answer:

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean

In this problem, we have that:

\mu = 119, \sigma = 14, n = 74, s = \frac{14}{\sqrt{74}} = 1.6275

What is the probability that the sample mean would differ from the true mean by less than 1.11 months?

This is the pvalue of Z when X = 119 + 1.1 = 120.1 subtracted by the pvalue of Z when X = 119 - 1.1 = 117.9. So

X = 120.1

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

By the Central Limit Theorem

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

Z = \frac{120.1 - 119}{1.6275}

Z = 0.68

Z = 0.68 has a pvalue of 0.7517

X = 117.9

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

Z = \frac{117.9 - 119}{1.6275}

Z = -0.68

Z = -0.68 has a pvalue of 0.2483

0.7517 - 0.2483 = 0.5034

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

3 0
3 years ago
All questions are about this system of equations:
sertanlavr [38]
If we are eliminating x, we would multiply the 2nd equation by -5

5x + 18y = 23
x + 3y = 2....multiply by -5
-----------------
5x + 18y = 23
-5x - 15y = - 10 (result of multiplying by -5)
----------------add
0 + 3y = 13.....bye-bye x :)

6 0
3 years ago
The line plot shows students favorite pizza toppings. Which can you find using the line plot: the median, mode, range, or outlie
DiKsa [7]

Answer:

The mode is pepperoni. This data set isn't numerical.

Step-by-step explanation:

The data set is skewed right.

7 0
3 years ago
Choose the best option.
Setler [38]
Answer:

Point

Explanation:

It makes the most sense
5 0
2 years ago
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tiny-mole [99]

Answer:

y = .5x+30

Step-by-step explanation:

m= \frac{y2-y1}{x2-x1}

<em>hope this helps, good luck :)</em>

8 0
2 years ago
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