Hello,
Let's f the age of the father
s the age of Simran
f=3*s
f-5=4*(s-5)
==>3s-5=4s-20
==>s=15
f=3*15=45
Subtract the fee from the total:
131- 35.50 = 95.50
Now divide that by the price per mile:
95.50/ 0.40 = 238.75
They drove 238.74 miles
Given:
The given table represents the ingredient need to make 4 muffins.
To find:
The amount of flour needed to make 12 muffins.
Solution:
We have, the data for 4 muffins.
From the given table it is clear that,
Flour need for 4 muffins = 250 g
Flour need for 1 muffins =
g
Flour need for 12 muffins =
g
=
g
=
g
So, 750 g flour is need to make 12 muffins.
Therefore, the correct option is D.
Given:
μ = 25 mpg, the population mean
σ = 2 mpg, the population standard deviation
If we select n samples for evaluation, we should calculate z-scores that are based on the standard error of the mean.
That is,

The random variable is x = 24 mpg.
Part (i): n = 1
σ/√n = 2
z = (24 -25)/2 = -0.5
From standard tables,
P(x < 24) = 0.3085
Part (ii): n = 4
σ/√n = 1
z = (24 -25)/1 = -1
P(x < 24) = 0.1587
Part (iii): n=16
σ/√n = 0.5
z = (24 - 25)/0.5 = -2
P(x < 24) = 0.0228
Explanation:
The larger the sample size, the smaller the standard deviation.
Therefore when n increases, we are getting a result which is closer to that of the true mean.