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Gwar [14]
3 years ago
5

Could someone help me.

Mathematics
1 answer:
Rasek [7]3 years ago
3 0

Answer:

Step-by-step explanation:

The central angle of the two arcs (marked as 40 degrees each) means that <HPN = 80. The central angle = the arc measurement.

Now here's the tricky part.  Any point on the circumference of a circle that has the same measurement using NH as a chord = 1/2 the central angle.

So <HRN = 1/2 the central angle

Since the central angle = 80, then 1/2 of it = 40

<HRP = 40 degrees because PR is a part of RN

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Angelina_Jolie [31]

Answer: AAS

Step-by-step explanation:

8 0
3 years ago
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Levart [38]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
The U.S. Census Bureau announced that the median sales price in 2014 for new homes was $282,800 and the mean sales price was $34
victus00 [196]

Answer:

a) 0.9964

b) 0.3040

Step-by-step explanation:

Given data:

standard deviation =  $90,000

Mean sales price =$345,800

sample mean =  $370,000

Total number of sample = 100

calculate z score for [/tex](\bar x = 370000)[/tex]

z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{370000 - 345800}{\frac{90000}{\sqrt{100}}}

z = 2.689

P(x<370000) = P(Z<2.689)

FROM STANDARD NORMAL DISTRIBUTION TABLE FOR Z P(Z<2.689) = 0.9964

B)

calculate z score for (\bar x = 350000)

z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{350000 - 345800}{\frac{90000}{\sqrt{100}}}

z = 2.133

P(350000 \leq \bar x \leq 365000) = P(0.467 \leq Z\leq 2.133) = P(Z\leq 2.133) - P(Z\leq 0.467)

FROM NORMAL DISTRIBUTION TABLE Z VALUE FOR

P(Z\leq 2.133) = 0.9836

P(Z\leq 0.467) = 0.6796

SO,  = 0.9836 - 0.6796 = 0.3040

4 0
3 years ago
Find the value of a and of b for which<br>(a) the solution of x2 + ax &lt; b is<br>-2&lt;x &lt; 4​
KengaRu [80]

Answer: a = -2

b = 8

Step-by-step explanation:

Given :

x^{2} +ax

re - writing the equation , we have

x^{2} +ax-b

we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.

The formula for finding the quadratic equation when the roots are known is :

x^{2} - sum of roots(x) + product of root = 0

sum of roots = -2 + 4 = 2

product of roots = -2 x 4 = -8

substituting into the formula , we have:

x^{2} -2x-8=0 , which could be written in inequality form as

x^{2} -2x-8

comparing with x^{2} +ax-b , it means that :

a = -2

b = 8

3 0
2 years ago
Graph the solution of 2 ≥ 4 - v
Lerok [7]
For this case we have the following inequality:
 2 ≥ 4 - v
 The first thing we must do in this case is to clear the value of v.
 We have then:
 v ≥ 4 - 2
 v ≥ 2
 Therefore, the solution set is given by:
 [2, inf)
 Answer:
 
See attached image.

6 0
2 years ago
Read 2 more answers
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