The density of the gold is 772.8 kilograms\cubic meters
Answer:
-0.3 with a line on top of the 3
Answer:
B) 
Step-by-step explanation:
Given:
Height of cylinder (h) = 10 yd
Diameter of cylinder (d) = 14 yd
We need to find the surface area of the cylinder.
Solution:
First we will find the radius of the cylinder.
Radius is half of the diameter.
radius (r) = 
Now we know that;
Surface area of cylinder is equal to 2 times π times radius(r) times sum of radius (r) and height (h).
Framing in equation form we get;
Surface area of cylinder = 
Substituting the given values we get;
Surface area of cylinder = 
Rounding to nearest tenth we get;
Surface area of cylinder = 
Hence the surface Area of cylinder is
.
Answer:
There is a 24.3% probability that one of the calculators will be defective.
Step-by-step explanation:
For each calculator, there are only two possible outcomes. Either it is defective, or it is not. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
The probability of a defective calculator is 10 percent.
This means that 
If 3 calculators are selected at random, what is the probability that one of the calculators will be defective
This is P(X = 1) when n = 3. So


There is a 24.3% probability that one of the calculators will be defective.
Answer: the interval of heights that represents the middle 95% of male heights from this school is between 66 inches and 76 inches.
Step-by-step explanation:
Let x be a random variable representing the heights of males from this school. With the mean and standard deviation given, then the Empirical Rule says the that
1) About 68% of the x values lie between 1 standard deviation below and above the mean.
2) About 95% of the x values lie between 2 standard deviations below and above the mean.
3) About 99.7% of the x values lie between 3 standard deviations below and above the mean.
From the information given,
mean = 71 inches
Standard deviation = 2.5 inches
We want to determine where 95% of x values lies. This is 2 standard deviations from the mean Therefore,
2 standard deviations = 2 × 2.5 = 5 inches
The heights are
71 - 5 = 66 inches and
71 + 5 = 76 inches