Answer: Approximately 15.2% of Jerry's net monthly income is spent on food.
Step-by-step explanation:
We are given that Jerry's Net Monthly Income is $2970.
Out of this, his expenses are on Housing, Utilities, Food, Transportation, Healthcare Expenses, Savings, and Other Expenses.
To find the percentage of income spent on food, we note that the food related expenditure is given to be $450.
So, to calculate the percentage, we use the formula
(\frac{450}{2970}).(100)
that is, we divide the expenditure on food by the net income and multiply this by 100 to get the percentage.
Calculating the above expression, it works out to be 15.15% or 15.2% when rounding off the decimal.
Answer:
(a) 93.19%
(b) 267.3
Step-by-step explanation:
The population mean and standard deviation are given as 502 and 116 respectively.
Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.
(a) The percent of the SAT verbal scores are less than 675 can be calculated as:
Thus, the required percentage is 93.19%
(b)
The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:
So,
Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.
Answer:
shortest side = 15
Step-by-step explanation:
The question is a bit ambiguous. Do you mean (3/4) x or do you mean 3/(4x)?
I'll take it to be the first one.
(x + 3) + 4(x - 13) + (3/4)x = 3x + 6 Remove the brackets on the left
x + 3 + 4x - 52 + 0.75 x = 3x + 6 Combine
5.75x - 49 = 3x + 6 Subtract 3x from both sides.
2.75x - 49 = 6 Add 49 to both sides
2.75x = 55 Divide by 2.75
x = 55/ 2.75
x = 20
Now for the shortest side
x + 3 = 23
4(x - 13) = 4(20 - 13) = 4*7 = 28
(3/4)*20 = 15
The shortest side = 15
Answer:
x = 31.12
Step-by-step explanation:
First find the base (hypotenuse) of the smaller triangle (the isosceles triangle): Its three sides are 11, 11 and b. b can be found using the Pythagorean Theorem: b^2 = 11^2 + 11^2 = 242. Then b = √242, or b = approximately 15.56.
b (which is approximately 15.56) is the shorter leg of the large (right) triangle. The trig function needed to solve for x is the cosine:
adjacent side
cos 60 degrees = ----------------------
hypotenuse,
15.56
which becomes (1/2) = ------------
x
Solving this for x, we get: x = 2(15.56) = 31.12
