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zysi [14]
3 years ago
6

Dakota tiled a floor with tiles that look like this:

Mathematics
1 answer:
Sliva [168]3 years ago
3 0
AB=8 in.
AC=6 in. 
BC=10 in.
<ABC=37 
<CAB=90
<ACB=53
<BCE=2*37=74
<CED=2*53=106
l=6*AB=6*8=48 in.
w=6*AC=6*6=36 in.


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Put the following equation of a line into slope-intercept form, simplifying all fractions. 5x+6y=42
Sever21 [200]

Answer:

y=-\frac{5}{6} + 7

Step-by-step explanation:

Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.

1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.

6y=-5x+42

2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:

y=-\frac{5}{6} + 7

4 0
1 year ago
Consider the probability that greater than 96 out of 153 DVDs will work correctly. Assume the probability that a given DVD will
ICE Princess25 [194]

Answer:

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 153, p = 0.62

So

\mu = E(X) = np = 153*0.62 = 94.86

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.62*0.38} = 6

Probability that greater than 96 out of 153 DVDs will work correctly.

97 or more DVDs, which is 1 subtracted by the pvalue of Z when X = 97. So

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

Z = \frac{97 - 94.86}{6}

Z = 0.36

Z = 0.36 has a pvalue of 0.6406

1 - 0.6406 = 0.3594

0.3594 = 35.94% probability that greater than 96 out of 153 DVDs will work correctly.

3 0
3 years ago
Give an answer to the picture above or below
Ostrovityanka [42]

Answer:

Graph

Step-by-step explanation:

8 0
3 years ago
Margie needs to know the square footage for the first floor of the condo her client wants to make an offer on. The kitchen is 10
rodikova [14]

Answer: the total square footage is

850 ft³

Step-by-step explanation:

The kitchen is 10 feet by 15 feet. This means that the volume of the kitchen would be

10 × 15 = 150 ft³

The living/dining combo is 20 feet by 25 feet. This means that the volume of the living/dining combo would be

20 × 25 = 500 ft³

The office and sunroom are each 10 feet by 10 feet. This means that the volume of the office would be

10 × 10 = 100 ft³

Also, the volume of the sunroom would be

10 × 10 = 100 ft³

Therefore, the total square footage is

150 + 500 + 100 + 100 = 850 ft³

3 0
3 years ago
A small, upscale boutique examines the income of 10 random households to determine if the community will be a good location for
USPshnik [31]
The correct answer for the question that is being presented above is this one:  "D) The boutique will not locate a store in a community where everyone does not make at least $100,000. " The likely reason that the boutique chooses not to locate in the community is that the boutique will not locate a store in a community where everyone does not make at least $100,000. 
7 0
3 years ago
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