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lesya [120]
3 years ago
15

An irregular polygon is shown below: Image of irregular polygon with length of 7 units and height of 3 units labeled on left sid

e. Top side length of 4 units, the side adjacent to it on the right is 2 units. The area of the irregular polygon is ____ square units.
Mathematics
1 answer:
torisob [31]3 years ago
7 0
I don’t see the image can you please add one to the comments so I can answer it. Thanks
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Find the value of x. If necessary, you may learn with the markings on a figure indicate.
love history [14]

Answer:

112

Step-by-step explanation:

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3 years ago
Each of 8 students reported the number of movies they saw in the past year. This is what they reported:
elena-14-01-66 [18.8K]

Answer:

10.75

11

Step-by-step explanation:

the mean is the average, so add up all of the values and divide by 8 because there are 8 values :

(11 + 17 + 14 + 11 + 4 + 7 + 11 + 11)/8 = 10.75

the median is the middle value when the numbers are written in ascending or descending order :

4, 7, 11, 11, 11, 11, 14, 17

we can cross out the values on the ends, to get to the middle. if we do this, we are left with 11, 11

find the average of these numbers :

which is 11.

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3 years ago
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The distribution of a sample of the outside diameters of PVC pipes approximates a normal distribution. The mean is 14.0 inches,
lakkis [162]

Answer:

A. 13.9 and 14.1 inches

See explanation below.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the outside diameters of a population, and for this case we know the distribution for X is given by:

X \sim N(14,0.1)  

Where \mu=14 and \sigma=0.1

If we want the middle 68% of the data we need to have on the tails 16% on each one

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.84   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.16 of the area on the left and 0.84 of the area on the right it's z=-0.994. On this case P(Z<-0.994)=0.16 and P(z>-0.994)=0.84

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.994

And if we solve for a we got

a=14 -0.994*0.1=13.9

And since the distribution is symmetrical for the upper limit we can use z = 0.994 and we have:

z=0.994

And if we solve for a we got

a=14 +0.994*0.1=14.1

So the correct answer for this case would be:

A. 13.9 and 14.1 inches

3 0
3 years ago
Jase used a drawing program on the computer at school to create the figure below using a
Xelga [282]

Answer : 15.75 square inches

Step-by-step explanation:

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What does z equal? <br><br> Equation: 9 (z - 82) = 90
matrenka [14]

Answer:

Z=92

Step-by-step explanation:

Distribute, 9z-738=90

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3 years ago
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