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youngchapo813p8d9u1
28.12.2019 •
Mathematics
The jones family drove to kankakee in 5 hours and returned in 4 hours. their rate on the return trip was 9 mph faster than their rate going. find their rate going?
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Ответ:
36 mph
Step-by-step explanation:
Let
D be the distance covered in on trip
x be the rate on return
y be the going rate
if the Jones family drove to Kankakee in 5 hours and returned in 4 hours.
y = D/5 and x = D/4
D = 5y and D = 4x
5y = 4x Equation 1
Their rate on the return trip was 9 mph faster than their rate going
x = y + 9 Equation 2
substitute into equation 1
5y = 4(y + 9)
5y = 4y + 36
collect like terms
5y - 4y = 36
y = 36 mph
Ответ:
z=(x-μ)/σ
μ=1252
σ=129
The answer to the questions given will be as follows:
a] what is the probability that a randomly selected bag contains between 1100 and 1400 chocolate chips?
z=(1400-1252)/129
z=1.15625
P(x≤1400)=0.8770
z=(1100-1252)/129
z=0.1190
P(X≤1100)=0.1190
the answer will be:
P(1100≤x≤1400)=0.8770-0.1190=0.758
b]what is the probability that a randomly selected bag contains fewer than 1000 chocolate chips?
z=(1000-1252)/129=-1.954
P(X≤1000)=0.0256
c] what proportion of bags contains more than 1200 chocolate chips?
z=(1200-1252)/129
z=-0.4031
P(X≥1200)=1-P(X≤1200)=1-0.4031=0.5969