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myrzilka [38]
3 years ago
6

Solve the inequality (-3,-3) (3,-1) on a graph

Mathematics
1 answer:
Firdavs [7]3 years ago
5 0
The first number is x axis while the second is y

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(Ross 5.15) If X is a normal random variable with parameters µ " 10 and σ 2 " 36, compute (a) PpX ą 5q (b) Pp4 ă X ă 16q (c) PpX
pochemuha

Answer:

(a) 0.7967

(b) 0.6826

(c) 0.3707

(d) 0.9525

(e) 0.1587

Step-by-step explanation:

The random variable <em>X</em> follows a Normal distribution with mean <em>μ</em> = 10 and  variance <em>σ</em>² = 36.

(a)

Compute the value of P (X > 5) as follows:

P(X>5)=P(\frac{x-\mu}{\sigma}>\frac{5-10}{\sqrt{36}})\\=P(Z>-0.833)\\=P(Z

Thus, the value of P (X > 5) is 0.7967.

(b)

Compute the value of P (4 < X < 16) as follows:

P(4

Thus, the value of P (4 < X < 16) is 0.6826.

(c)

Compute the value of P (X < 8) as follows:

P(X

Thus, the value of P (X < 8) is 0.3707.

(d)

Compute the value of P (X < 20) as follows:

P(X

Thus, the value of P (X < 20) is 0.9525.

(e)

Compute the value of P (X > 16) as follows:

P(X>16)=P(\frac{x-\mu}{\sigma}>\frac{16-10}{\sqrt{36}})\\=P(Z>1)\\=1-P(Z

Thus, the value of P (X > 16) is 0.1587.

**Use a <em>z</em>-table for the probabilities.

8 0
3 years ago
Amie had an operation on her knee. To help it get strong again, she walks once around this rectangular path in the park every mo
77julia77 [94]
You would need to know how long the path is to answer this question

8 0
3 years ago
Read 2 more answers
1. Use the following graph to determine the coordinated of the y-intercept.
jarptica [38.1K]

Answer:

I believe it's C. (0.4)

Step-by-step explanation:

6 0
2 years ago
Vertex of -2(x+3)^2+7
alekssr [168]

Answer:

The vertex is (-3, 7)

Step-by-step explanation:

As the equation is already in 'rectangular form), to work out the vertex, we can just compare this equation to that of the standard parabola y = x^2, and in particular, consider how it has been translated:

the (x+3) part moves the graph the the left 3 (i.e in the negative direction), while the +7 moves the graph up 7.

So as the vertex of the simple parabola y = x^2 is (0,0), the vertex of this graph is just (-3,7).

Note that the -2 at the front doesn't impact this vertex - this -2 just changes the 'scale' of the parabola (i.e makes it more narrow, and also turns it upside down as it's a negative number).

6 0
3 years ago
What is the sales tax on $8.50 purchase of the sales-tax rate is 6 1/2%?
tester [92]

Answer:

$

8.50

×

0.065

=

$

0.5525

cents rounded to  

$

0.55

or  

55

cents.

Explanation:

The sales tax rate is usually a percentage (assumed here).  

6.5

percent equals  

0.065

(percent means "per 100" so is divided by  

100

).

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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