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hoa [83]
3 years ago
9

For a standard normal random variable, what z-score has (a) probability 0.175 to the right?

Mathematics
1 answer:
Mumz [18]3 years ago
7 0
Answer: 0.935

Explanation: 

Let S = z-score that has a probability of 0.175 to the right. 

In terms of normal distribution, the expression "probability to the right" means the probability of having a z-score of more than a particular z-score, which is Z in our definition of variable Z. In terms of equation:

P(z ≥ S) = 0.175   (1)

Equation (1) is solvable using a normal distribution calculator (like the online calculator in this link: http://stattrek.com/online-calculator/normal.aspx). However, the calculator of this type most likely provides the value of P(z ≤ Z), the probability to the left of S.

Nevertheless, we can use the following equation:

P(z ≤ S) + P(z ≥ S) = 1 
⇔ P(z ≤ S) = 1 - P(z ≥ S)  (2)

Now using equations (1) and (2):

P(z ≤ S) = 1 - P(z ≥ S)
P(z ≤ S) = 1 - 0.175 
P(z ≤ S) = 0.825

Using a normal distribution calculator (like in this link: http://stattrek.com/online-calculator/normal.aspx),

P(z ≤ S) = 0.825
⇔ S = 0.935 

Hence, the z-score of 0.935 has a probability 0.175 to the right.
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Solve the equation 2p/3-12=-2
-BARSIC- [3]
Hey there! 

\frac{2p}{3} - 12 = -2

Firstly, we are going add 12 on each of the sides that we're working with. like ↓ 

p - 12 + 12 \\ \\ = -2 + 12

This gives us \frac{2}{3}p = 10 (if you are wondering how we got the out come of 10 it is because I added -2 + 12 = 10

Now multiply \frac{3}{2} on each of your sides 

\frac{3}{2} ( \frac{2}{3}p)  \\ \\  =  \frac{3}{2} (10)

Cancel the first set and you will find the value of p

p = 15

Good luck on your assignment and enjoy your day 

~LoveYourselfFirst:)
5 0
3 years ago
the perimeter of a triangle z measures 48 cm . it was dilated with a scale factor of 0.8 to form triangle p . what is the perime
Aliun [14]

Answer:

The perimeter of the p triangle = 38.4 cm

Step-by-step explanation:

Given

The perimeter of a triangle z be = 48 cm

The triangle is dilated by a scale factor of 0.8

To determine

What is the perimeter of the triangle after it is dilated by a scale factor of 0.8?

  • As the scale factor < 1, it means the new perimeter will be reduced.

The new perimeter of the triangle p can be calculated by multiplying the perimeter of the original triangle z by 0.8

i.e.

Perimeter of triangle p = 48 × 0.8 = 38.4 cm

Therefore, the perimeter of the triangle p is = 38.4 cm

4 0
2 years ago
Select all of the potential solution(s) of the equation 2log5x = log54.
Vanyuwa [196]

Answer:

x = ±2

Step-by-step explanation:

A equation is given to us , which is ,

\longrightarrow 2log_5(x) = log_5 4

From <u>properties </u><u>of </u><u>logarithm </u>we know that ,

\longrightarrow alog\ m = log \ m^a

Applying this to LHS , we have ;

\longrightarrow log_5 x^2 = log_5 4

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

\longrightarrow x^2 = 4

Put square root on both sides,

\longrightarrow x =\sqrt{4}

Simplify ,

\longrightarrow \underline{\underline{ x =\pm 2 }}

This is the required answer.

6 0
2 years ago
Which statement is true about 143? A. It is a prime number. B. It is a composite number. C. It is a whole number that is neither
Stels [109]

Answer:

B. It is a composite number.

Step-by-step explanation:

143 can be divided by 11 and 13 making it a composite number.

5 0
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