Answer:
The distribution of all values of <em>X</em> is the sampling distribution of <em>X</em>.
Step-by-step explanation:
The sampling distribution of a statistic is the probability distribution computed through a large number of samples taken from a specific population.
For example, the sampling distribution of mean is the probability distribution of sample mean, were the sample means are computed from various samples taken from a specific population.
In this case a class of 35 students is divided into samples of 7.
Each sample is considered and the heights of the 7 students are noted.
The random variable <em>X</em> is defined as the tallest height.
The distribution of all values of <em>X</em> is the sampling distribution of <em>X</em>.
To solve this problem, we are going to set up a system of equations, or two equations that we can use to find out two variables. Let x represent the measure of one of the side lengths, and b represent the length of the base.
We know that the sum of the two equal legs is six more than three times the length of the length of the base, or the following equation.
2x = 6 + 3b
We also know that the perimeter, or the addition of both equal side lengths and the base equals 38, or the following equation.
2x + b = 38
To solve this system of equations, we can use substitution for 2x. (This means that because we know what 2x equals in terms of b, we can substitute this value into the other equation).
6 + 3b + b = 38
Now, we have to simplify and solve this equation.
4b + 6 = 38
4b = 32
b = 8
This means that the base measures 8 cm. Because we know this measurement, we can substitute 8 into one of our beginning equations for b to solve for x.
2x + b = 38
2x + 8 = 38
2x = 30
x = 15
Therefore, the base of the triangle is 8 cm, and the equivalent side lengths both measure 15 cm.
If the weight of the bottom box is b then the weight of a stack of four boxes is b + b/2 + b/4 + b/8
= 8b/8 + 4b/8 + 2b/8 + 1b/8
= 15/8 b
A stack must weigh less than 100 pounds
15/8 b < 100
b < 100 x 8/15 = 53 1/3 pounds
If boxes have a minimum weight of 1 pound then
for stacks that contain 4 boxes the range of b is [8, 53 1/3)
and if stacks contain 1 to 4 boxes the range of b is [1, 53 1/3)
If the only restriction is a maximum of 100 then the range of b is [0, 53 1/3)
Answer: 45%
Step-by-step explanation:
Just divide 9/20 and you get 0.45 or 45%
Answer: The product is less than 3/5
Step-by-step explanation:
To know the solution, we have to multiply 3/5 by 6/7. This will be:
= 3/5 × 6/7
= 18/35
Note:
18/35 to decimal = 0.5143
3/5 to decimal = 0.60
6/7 to decimal = 0.8571
Therefore, we can see that the product is less than 3/5.