Answer: choice B is true.
Step-by-step explanation:
We are asked to find which value is similar to the value of the expression:
30% of 81.
We know that 30% of 81 could also be represented mathematically as:
30%×81=
which could also be written as:
choice A:
=
Which is not similar to equation (1).
Hence choice A is not similar.
Choice B:
This expression is similar to equation (1).
Hence choice B is true.
Choice C:
Which is not similar to equation (1).
Hence, choice C is not true.
Choice D:
=
Which is not similar to equation (1).
Hence, choice D is not true.
Choice E:
Which is not similar to equation (1).
choice D is not true.
Hey there!
This grocer is mixing two kinds of coffee. I always love the smell of coffee!
We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.
Altogether there are 24 pounds of coffee he is selling.
The algebraic equation would be x + y = 24
At $1.30 per pound, he will make 24 * $1.30 = $31.2
So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?
The algebraic equation would be 1.15x + 2.75y = 31.2
We now have two equations :
x+y = 24
1.15x + 2.75y = 31.2
Substituting x= 24 -y in the second equation gives us
1.15(24-y) + 2.75y = 31.2
27.6 - 1.15y + 2.75y = 31.2
27.6 + 1.6y = 31.2
1.6y = 31.2 - 27.6
0.3y= 3.6
y= 2.25
x + y = 24
x + 2.25 = 24
x = 24 -2.25
x = 21.75
If y=2.25, then x= 21.75 as well.
So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.
~Done~
Answer:
I said 24. I hope this helps and works
Answer:
a) 0.216
b) 0.1587
c) 0.369
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12.2 grams
Standard Deviation, σ = 2.8 grams
We are given that the distribution of weights of impurities per bag is a bell shaped distribution that is a normal distribution.
Formula:
a) P(contains less than 10 grams of impurities)
P(x < 10)
Calculation the value from standard normal z table, we have,
b) P(contains more than 15 grams of impurities)
P(x > 15)
Calculation the value from standard normal z table, we have,
c) P(contains between 12 and 15 grams of impurities)
d) The mean divide the data in exactly two parts. Since 15 is farther away from the mean as compared to 10, the probability obtained in part (b) is smaller as compared to probability obtained in part (a).
He would pay 1.40 for the four mini muffins and he could buy 7 mini muffins with $3
