What is the frosted area of the bottom cake? (Round to the nearest tenth)
What is the total surface area of cake that will be frosted?
Answer:
$22.5.
Step-by-step explanation:
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
y = (25 - x)(100 + 5x)
Simplifying,
y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
dy/dx = 0 = 25 - 10x
Answer:
Total number of skittles in bag are 40
There are 10 orange skittles.
There are are 9 green skittles.
Step-by-step explanation:
Suppose there are "x" number of skittles in the bag.
Given that 2/5 of x = 16
Solving above equations gives , x = 40
That means total numbers of skittles are 40.
2/5 of 40 = 16 red skittles.
25 % of 40 = 10 orange skittles
1/8 of 40 = 5 yellow skittles
40-16-10-5 = 9 green skittles.
Answer:
replace the given values of x and y
Step-by-step explanation:
hope it helped!!!
Answer:
Step-by-step explanation:
Hello!
X₁: Life span of a battery of Brand X
X₁~N(μ₁;σ₁²)
μ₁= 102hours
σ₁= 6.8hours
X₂: Life span of a battery of Brand Y
X₂~N(μ₂;σ²)
μ₂= 100hours
σ₂= 1.4hours
To complete the first two sentences, you have to use the empirical rule:
μ±δ= 68% of the distribution
μ±2δ= 95% of the distribution
μ±3δ= 99% of the distribution
1. About 68% of brand x’s batteries have a lifespan between 95.2 and 108.8 hours.
μ₁±σ₁= 102 ± 6.8= 95.2; 108.8
2. About 68% of brand y’s batteries have a lifespan between 98.6 and 101.4 hours.
μ₂±σ₂= 100 ± 1.4= 98.6; 101.4
3. The life span of brand Y ’s battery is more likely to be consistently close to the mean.
The standard deviations show you the dispersion of the distribution. A low standard deviation indicates that the values are close to the mean. A high standard deviation indicates that the values are further away the values are from the mean.
The standard deviation for the X batteries is σ₁= 6.8hours and the Y batteries are σ₂= 1.4hours since the standard deviation for the Y batteries is less than the standard deviation for the X batteries, you'd expect that the life span of the Y batteries will be closer to the mean than the life span of the X batteries.
I hope it helps!
Add these expressions
(3x+15) + (4x+13)
Answer:7x+28
Step-by-step explanation:
Answer:
7x + 28
Step-by-step explanation:
Line up the columns just like with standard addition. Keep the x numbers in the same columns and keep the integers in their columns. It will look like this:
3x + 15
PLUS 4x + 13
----------------------
7x + 28
2 = 4
Answer:
x = 16
Step-by-step explanation:
x - 12 = 4
+ 12 = +12
x = 16
Answer:
16
Step-by-step explanation: