Answer:
79.1
Step-by-step explanation:
Given that :
Mean, μ = 62
Standard deviation, σ = 5.7
The value, x that is +3 standard deviations from the mean :
x = μ + 3(σ)
x = 62 + 3(5.7)
x = 62 + 17.1
x = 79.1
Answer: The <u>ten ounce drink</u> is a better deal.
The Explanation: Why? Well, since you are getting 10 ounces of a drink you spend only 32 cents on each ounce whereas with the 6 ounces you end up spending 36 cents per ounce. You might be spending more money on the ten ounces but when you break down the cost of the drink per ounce you figure out that it is the best deal possible!
Given:
The bases of triangular prism are right triangles with a base of 12 inches and height of 9 inches.
The height of the prism is 11 inches.
To find:
The surface area of the triangular prism.
Solution:
Using the Pythagoras theorem, the hypotenuse of the bases of the triangular prism is:
Taking square root on both sides.
The surface after of the triangular prism contains 3 rectangles of dimensions 12 inches by 11 inches, 9 inches by 11 inches, 15 inches by 11 inches and two triangles with base 12 inches and height 9 inches.
Area of the rectangle:
So, the area of three rectangles are:
Area of a triangle is:
So, the area of the triangles is:
And, the triangles have same dimensions so their areas are equal.
Now,
Therefore, the surface area of the triangular prism is 504 sq. inches.
Answer: The value of y is 8
Step-by-step explanation:
Since we know x=2 we can sub in 2 for x in the equation
y=2(2)+4
y=4+4
y=8
First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.
N will represent nickels
D will represent dimes
N + D = 30
---The problem tells us that there are 30 total coins
0.05N + 0.10D = 2.95
---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95
Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.
N + D = 30
N = 30 - D
Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.
0.05(30 - D) + 0.10D = 2.95
1.5 - 0.05D + 0.10D = 2.95
1.5 + 0.05D = 2.95
0.05D = 1.45
D = 29
Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.
N = 30 - D
N = 30 - 29
N = 1
Therefore, there are 29 dimes and 1 nickel.
Hope this helps!