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.
From 10 to 15 -> 10 increased with half its size (5), that means increase of 50%
From 16 to 12 -> decrease of 4, which is a quarter of 16, that means a decrease of 25%
Answer:
16 cm²
Step-by-step explanation:
The figure is a trapezoid with two parallel sides.
The formula for the area is
A = ½(a + b)h
Data:
a = 5 cm
b = 3 cm
h = 4 cm
Calculation:
A = ½(5 + 3) × 4 = ½ × 8 × 4 = 16 cm²
The area of the trapezoid is 16 cm².
Answer:
C. 60%
Step-by-step explanation:
<u>Consider 1st row of table</u>
Total Price = P= 22.50
Discount=D=13.50
Percent discount=(D/P) x 100
=(13.5/22.5) x 100
= 60%
<u>Consider 2nd row of table</u>
Total Price = P= 27
Discount=D=16.20
Percent discount=(D/P) x 100
=(16.2/27) x 100
= 60%
Now we know discount rate is r=60%
Answer:
A
Step-by-step explanation:
Intercept form
