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To evaluate the given probability we proceed as follows:
The z-score is given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
from the question:
mean=272, sig=15
but the sample is n=36, thus we shall have:
√σ/n
=15/√36
=2.5
thus the z-score will be as follows:
x=272
z=(272-272)/2.5=0
x=274
z=(274-272)/2.5==0.8
thus
P(272<x<274)
=P(z<0.8)-P(z<0)
=0.7881-0.5
=0.2881
Hence the answer is 0.2881
A. The internet told me again
Answer:
9/5 miles in 1 hour
Step-by-step explanation:
As we are finding here the miles distance in 1 hour so we have to use here the formula which is
Rate = Distance / Time
Rate = 3/5 divided by 1/3
SO using third proportion rule we have to change the Numerator of second fraction with denominator and denominator with numerator and division sign will be change into Multiplication so this one will be
3/5 x 3/1
9/5 will be the answer
Set up a system of equations.
When you're shopping you multiply how many of the same item you buy with the item's price. Example if an apple costs 20 cents, 5 apples cost a dollar
4.55A + 5.75B = 898.00
A+B = 176 Number of type A and type B total
Get B or A by itself. Let's do B. Subtract A from both sides:
B= 176-A
Plug in B into the other equation.
4.55A + 5.75B = 898.00
4.55A + 5.75(176-A) = 898.00
Solve for A.
4.55A +1012 - 5.75A = 898.00
-1.2A = -114
A = 95
Now you know A, you can find B. Plug A into any equation to get B.
95 + B = 176
B=?