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2 years ago

In the diagram of circle P, m∠XYZ is 72°. What is the value of x? 108° 144° 216° 252°

Mathematics

2 answers:

mezya [45]2 years ago

5 0

Answer: 108°

Step-by-step explanation: just took the test

BigorU [14]2 years ago

3 0

Answer:

108°

Step-by-step explanation:

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The function A(b) relates the area of a trapezoid with a given height of 10 and

Natali5045456 [20]

The function of the trapezoid area is:

A(x)=(B+b)*h/2

Where B and b are the bases and h is the height.

With the given data: h=10 B and b =7 and x (it may vary which one is bigger)

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So that function becomes:

A(x)=(7+x)*10/2

A(x)=(7+x)*5

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So if you want the inverse function, you have to operate to find x:

A(x)/5=7+x

A(x)/5-7=x

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So the new function is:

x(A)=A/5-7

6 0

2 years ago

must a function that is decreasing over a given interval always be negative over that same interval explain

kolbaska11 [484]

check the picture below.

notice, a function that is decreasing, namely have a negative slope, doesn't have to be negative.

8 0

2 years ago

Read 2 more answers

Mrs.Helio has 2 3/4 acres of farmland. she will plant corn on 1/4 of this land, potatoes on 1/12 of the land, wheat on 5/8 of th

Kazeer [188]

2 3/4 acres is the same as 11/4 acres
To find how much of the land is beans, find how much is already taken up, and the rest is beans.
Farmland-Corn-Potatoes-Wheat=Beans
1-(1/4)-(1/12)-(5/8)=1/24

Corn: (1/4)x(11/4)=11/16 acres
Potatoes: (1/12)x(11/4)=11/48 acres
Wheat: (5/8)x(11/4)=55/32 acres or 1 23/32 acres
<span>Beans: (1/24)x(11/4)=11/96 acres</span>

4 0

2 years ago

As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o

wlad13 [49]

Answer:

Step-by-step explanation:

Solve the inequality (20 + 0.5x) + 0.15(20 + 0.5x) ≤ $62.10 for x:

20 + .5x + 3 + 0.75x ≤ 62.10

Combining the x terms, we get:

20 + 3 + 1.25x ≤ 62.10.

Combining the constants on the left:

23 + 1.75x ≤ 62.10

Combining the constants:

1.75x = 39.10

Solving for x: 39.10/1.75 = 22.34

Thus, the max number of whole pages she can have in her book is 22.

4 0

2 years ago

The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv

Rina8888 [55]

Answer:

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X=14.42$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=6.95$ represent the population standard deviation

n=36 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

5 0

2 years ago