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3 years ago

Find the area, round to the nearest tenth if necessary.

Mathematics

1 answer:

Strike441 [17]3 years ago

4 0

Answer:

108 ft squared.

Step-by-step explanation:

The figure is made up of a triangle and a square.

The area of a triangle is (1/2)*b*h. The height of the triangle is 6 ft and the base is 9 ft, since the triangle shares a side with the square. Since all sides of the square are equal we know that the line that is shared by the triangle and the square must also be 9ft.

Area of the triangle: (1/2)*9*h = 27 Square feet

To find the area of a square you multiply b*h or sides squared

Area of the square: 9*9 = 81 squared feet

Finally, you have to add the two areas together to get the overall area.

So, 27 Feet Squared + 81 Feet Squared = 108 Feet Squared

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The probability that the sample proportion will be less than 0.04 is 0.0188 or 1.88%.

The true proportion given to us (p) = 0.07.

The sample size is given to us (n) = 313.

The standard deviation can be calculated as (s) = √[{p(1 - p)}/n] = √[{0.07(1 - 0.07)}/313] = √{0.07*0.93/313} = √0.000207987 = 0.0144217.

The mean (μ) = p = 0.07.

Since np = 12.52 and n(1 - p) = 291.09 are both greater than 5, the sample is normally distributed.

We are asked the probability that the sample proportion will be less than 0.04.

Using normal distribution, this can be shown as:

P(X < 0.04),

= P(Z < {(0.04-0.07)/0.0144217}) {Using the formula Z = (x - μ)/s},

= P(Z < -2.0802)

= 0.0188 or 1.88% {From table}.

Thus, the probability that the sample proportion will be less than 0.04 is 0.0188 or 1.88%.

Learn more about the probability of sampling distributions at

brainly.com/question/15520013

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2 years ago

A company loses $5,400 as the result of a manufacturing defect. Each of the 8 owners have agreed to contribute an equal amount,

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x=$5400:8

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Dennis_Churaev [7]

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HELP!!! Describe the shape of the data distribution

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3 years ago

Event v occurs 28% of the time on Tuesdays.

vampirchik [111]

Answer:

68%

Step-by-step explanation:

Probability of occurrence of Event v = P(v) = 28% = 0.28

Probability of occurrence of both Events v and Event w together = P(v and w) = 19% = 0.19

We have to find what is the probability that event w occurs with event v given that event v occurs on a Tuesday. This is a conditional probability. In other words we have to find what is the probability of event w given that event v occurs of Tuesday. i.e we have to find P(w|v)

The formula to calculate this conditional probability is:

$P(w|v) = \frac{P(v \cap w)}{P(v)}$

Using the given values, we get:

$P(w|v) = \frac{0.19}{0.28}\\\\ P(w|v) = 0.68\\\\ P(w|v) = 68\%$

Therefore, the probability that even w will occur with event v given that event v occurs on Tuesday is 68%

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3 years ago