Answer:
75.94% of the households spent between $5.00 and $9.00 on sugar.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What proportion of the households spent between $5.00 and $9.00 on sugar?
This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 5. So
X = 9
has a pvalue of 0.7611
X = 5
has a pvalue of 0.0017.
So 0.7611 - 0.0017 = 0.7594 = 75.94% of the households spent between $5.00 and $9.00 on sugar.
Let us assume that the time after which Brad will have the same number of key chains as Velma = x hours
We already know that
Number of key chains Brad can make in an hour = 4
Number of key chains that Velma can make in an hour = 3
So after x hours,
Number of key chains that Brad can make = 4x
Number of key chains that Velma can make = 3x
Number of key chains that Velma already has = 6
Then the equation will be
3x + 6 = 4x
4x - 3x = 6
x = 6
So, from the above deduction, we can conclude that after 6 hours Brad will have the same number of key chains as Velma.
10.Let's solve for f.
gx=fx−4
Step 1: Flip the equation.
fx−4=gx
Step 2: Add 4 to both sides.
fx−4+4=gx+4
fx=gx+4
Step 3: Divide both sides by x.
fx/x=gx+4/x
The correct answer would be f= gx+4/x
11. Let's solve for f.
hx=12fx+2
Step 1: Flip the equation.
12fx+2=hx
Step 2: Add -2 to both sides.
12fx+2+−2=hx+−2
12fx=hx−2
Step 3: Divide both sides by 12x.
12fx/12x = hx-2/12x
The correct answer would be F= hx-2/12x
12. Let's solve for f.
kx=(−2f)(−x)
Step 1: Flip the equation.
2fx=kx
Step 2: Divide both sides by 2x
2fx/2x= kx/2x
The correct answer would be F= k/2
Side note: "/" is supposed to represent division and fractions
A² + b² = r²
5² + 4² = r²
25 + 16 = r²
41 = r²
r = √41
so AG = √41 or 6.40