Answer:
a)1 cup of flour
b)67.5 minutes
Step-by-step explanation:
a) A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
From the above question, we know that:
27 dinner rolls = 3 cups of flour
9 dinner rolls = x
Cross Multiply
27 rolls × x = 9 rolls × 3 cups
x = 9 rolls × 3 cups/27 rolls
x = 1 cup of flour
Hence, 1 cup of flour is needed to make 9 dinner rolls
b) Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?
From the above question:
4 km = 18 minutes
15km = x
Cross Multiply
4km × x = 15km × 18 minutes
x = 15km × 18minutes/4km
x = 67.5 minutes
Hence, in a 15km race , it would take her 67.5 minutes to complete her race.
Answer:
x = ± 10
Step-by-step explanation:
Given
y = x² - 100 ← a difference of squares , that is
y = x² - 10² = (x - 10)(x + 10)
To find the x- intercepts let y = 0 , that is
(x - 10)(x + 10) = 0
Equate each factor to zero and solve for x
x - 10 = 0 ⇒ x = 10
x + 10 = 0 ⇒ x = - 10
Answer:
a. 0.1864
b. Events D and P are dependent
Step-by-step explanation:
a.
P(D)=0.29
P(P)=0.59
P(P and D)=P(P∩D)=0.11
We have to find
P(D/P)=?
P(D/P)=P(P∩D)/P(P)
P(D/P)=0.11/0.59=0.1864
Thus, the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight is 18.64%
b.
The events D and P are independent if
P(D/P)=P(D)
P(D/P)=0.1864
P(D)=0.29
As P(D/P)≠P(D), so the events D and P are dependent.