Answer:
0.1855
Step-by-step explanation:
Assuming normal distribution, Sampling mean = $190
Sampling standard deviation =
= $2
a) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is less than $187 = P(X < 187)
= P(Z < (187 - 190)/2)
= P(Z < -1.5)
= 0.0668
b) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is more than $193.5
= 1 - P(X < 193.5)
= 1 - P(Z < (193.5 - 190)/2)
= 1 - P(Z < 1.75)
= 1- 0.9599
= 0.0401
c) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is between $191.70 to 194.5 = P(X < 194.5) - P(X <191.7)
= P(Z < (194.5 - 190)/2) - P(Z < (191.7-190)/2)
= P(Z < 2.25) - P(Z < 0.85)
= 0.9878 - 0.8023
= 0.1855
B^-2 / b^-3 = b^(-2-(-3) = b^1 = b
answer is d
Image is missing, so i have attached it.
Answer:
AC = 10sin 40°
Step-by-step explanation:
From the diagram attached, using terms in trigonometric ratio, AC is the opposite side, BC is the adjacent side and AB is the hypotenuse.
Thus, since we want to find AC;
We know that in trigonometric ratios; opposite/hypotenuse = sin θ
In the diagram, θ = 40° and AB = 10
Thus,
AC/10 = sin 40°
Multiply both sides by 10 to get;
AC = 10sin 40°
Answer:
Decimal form: 7.25
Mixed Number: 7 1/4
Step-by-step explanation:
9 3/4 = 39/4 (times 9*4 then add 3, keep the denominator).
2 1/2 = 5/2 (times 2*2 then add 1, keep the denominator).
39/4 - 5/2
29/4 (simplify)
ANSWER- 7 1/4
a² - b² = (a - b)(a + b)
49x² - 9 = (7x)² - 3² = (7x - 3)(7x + 3)