Answer:
$1.80
Step-by-step explanation:
5 ounces
1st ounce = .80¢ plus 25¢ for every other ounce. You have 4 ounces left. 25¢ times 4. = $1.00
$1.00
+0.80
_____
$1.80
Answer:
system of equations
Step-by-step explanation:
You can eliminate one of the variable terms in a <u>system of equations</u> by adding or subtracting another equation.
Answer:
Option 3 and 4.
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:
Given that mean (μ) = 82, standard deviation (σ) = 5
1) For x = 74:
Option 1 is incorrect
2) For x < 87
From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%
Option 2 is incorrect
3) For x = 95:
Option 3 is correct
4) For x < 77
From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%
Option 4 is correct
5) For x > 92
From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%
Option 5 is incorrect
4.
The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:
Simplify the exponent:
Cross multiply:
Divide 9 to both sides:
So the surface area of the second solid is 54 square meters.
The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:
Simplify the exponent:
Cross multiply:
Divide 64 to both sides:
5.
A globe is a sphere, use the formula for the volume of a sphere:
The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:
Simplify the exponent:
Multiply: