Answer:
100°
Step-by-step explanation:
all four angles added together total 360°
x = 360° - 60° - 110° - 90°
x = 100°
(x+3)(5x-4)(2x-1)
multiply the first two by foil method
F x × 5x =5x²
O -4 × x =-4x
I 3 x 5x =15x
L 3 × -4 =-12
(5x²+11x-12)(2x-1) distribute
2x(5x²+11x-12)=10x³+22x²-24x
-1(5x²+11x-12)=-5x²-11x+12
combine like terms
10x³+22x²-5x²-24x-11x+12
Answer: 10x³+17x²-35x+12
Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
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.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.
10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.
From above
So
The mean is
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
The average is (0.76+0.88) / 2 = 1.64 / 2 = 0.82
Answer:
The cost of soft drink is $0.95
Step-by-step explanation:
Let the cost of hot dog be x
Cost of 2 hot dogs = 2x
Let the cost of soft drink be y
Cost of 3 soft drinks = 3y
At a cost restaurant the cost for a hot dog and a soft drink is $2.10.
So, x+y=2.10
The cost for two hot dogs and three soft drinks is $5.15
So, 2x+3y=5.15
Plot the lines on the graph:
x+y=2.10 --Purple line
2x+3y=5.15 --- Black Line
Intersection point =(x,y)=(1.15,0.95)
Hence The cost of soft drink is $0.95