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.

7 0

3 years ago

In Triangle XYZ below, x2+y2=z2.

choli [55]

4, 2, 1, 3

we cannot use 2 before having another triangle, so 4 must be before 2

we can use 1, but it will be just a restatement of the given information is not done before 4 and 2

3 is the final goal, which is always the last step

8 0

4 years ago

Which choice is equivalent to the expression below when y 0?

olasank [31]

$y\sqrt{y}+\sqrt{9y^3}-3y\sqrt{y}=y\sqrt{y}+\sqrt9\cdot\sqrt{y^2\cdot y}-3y\sqrt{y}\\\\=y\sqrt{y}+3y\sqrt{y}-3y\sqrt{y}=y\sqrt{y}\\\\Answer:C.$

6 0

3 years ago