Answer:
-8,-40,-200,-1000,-5000,-25000
Step-by-step explanation:
a1 = -8
Let n = 2
a2 = 5 a1 = 5*(-8) = -40
Let n =3
a3 = 5 * a2 = 5 * -40 = -200
Let n =4
a4 = 5 * a3 = 5 * -200 = -1000
Let n =5
a5 = 5 * a4 = 5 * -1000 = -5000
Let n =6
a6 = 5 * a5 = 5 * -5000 = -25000
Answer:
8 times the square root of 2
Step-by-step explanation:
Look up the 45-45-90 triangle
Answer:
98.01% probability of getting 5 clean sheets
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order that the sheets are chosen is not important, so we use the combinations formula to solve this problem.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

0.4% of the sheets contain spots
Of 500, that is 0.004*500 = 2.
What is the probability of getting 5 clean sheets although 0.4% of the sheets contain spots?
Desired outcomes
2 are defective, so 5 sheets from a set of 500 - 2 = 498.

Total outcomes
5 sheets from a set of 500.

Probability:

98.01% probability of getting 5 clean sheets
Answer:
The mean of the distribution of heights of students at a local school is 63 inches and the standard deviation is 4 inches.
Step-by-step explanation:
The normal curve approximating the distribution of the heights of 1000 students at a local school is shown below.
For a normal curve, the mean, median and mode are the same and represents the center of the distribution.
The center of the normal curve below is at the height 63 inches.
Thus, the mean of the distribution of heights of students at a local school is 63 inches.
The standard deviation represents the spread or dispersion of the data.
From the normal curve it can be seen that values are equally distributed, i.e. the difference between two values is of 4 inches.
So, the standard deviation is 4 inches.
Answer:
V = 7385.28
Step-by-step explanation:
Formula of the volume of a cylinder: V = pi*r^2*h
Since you are told to replace pi with 3.14, now plug in the numbers that you are given into the formula...
V = (3.14)(14)^2*(12)
= 7385.28
Notes: Remember you always have to divide your radius in half if it gives you a diameter, BUT since in this question it's given, you don't have to do any extra work :)