Answer: B) x + y = 17
1.60x + 2.45y = 34
Step-by-step explanation:
Cost of x = $1.60 per pound
Cost of y = $2.45 per pound
Total pounds of x and y = 17
Cost per pound of mixture = $2
Total number of pounds of the mixture :
x + y = 17
Since the cost per pound of the mixture = 2
Hence ;
(Cost of x * number of pounds of x) + (Cost of y * number of pounds of y)
(1.60 * x) + (2.45 * y) = (cost per pound of mixture * total number of pounds of the mixture)
1.60x + 2.45y = 2 * 17
1.60x + 2.45y = 34
Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Answer:
D. 23.1%
Step-by-step explanation:
852-692=160 160/692=0.231213873 rounds to 0.231 move decimal over two places to the right to make it percent which is 23.1%
Step-by-step explanation:
Two angles are called suplementary when their measures add to 180 degrees.
D+F= 180
3x+5+2x= 180
5x+5=180
5x= 175
x= 35°
angle D = 3x+5= 3(35)+5= <u>110°</u>
First divide the coefficients:-
-18 / -12 = 3/2
a^-2 / a^-4 = a^2
b^-5 / b^-6 = b
so the expression simplifies to 3a^2b / 2
