Answer:
27
Step-by-step explanation:
Let the 5 digit palindrome formed from 1,2,3,4,5 be represented as XYZXY
Possible outcomes of X are 1,2,3 which give 3 possible outcomes
Possible outcomes of Y are 1,2,3 which also gives 3 possible outcomes
Possible outcomes of Z are 1,2,3 which will give 3 possible outcomes.
The total possible outcome = 3*3*3
= 27
Answer:
16
Step-by-step explanation:
180-164=16 do the answer is 16
Answer:
In the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these samples are consistent with what the company said.
Step-by-step explanation:
Given that a large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs, and to investigate this claim researchers collected data from a random sample of the companys customers, whose results were 305 wood, 121 plastic, and 74 metal, to determine if the data from the sample consistent with the companys claim the following calculations should be performed:
305 + 121 + 74 = 500
500 = 100
305 = X
305 x 100/500 = X
30,500 / 500 = X
61 = X
500 = 100
121 = X
121 x 100/500 = X
12,100 / 500 = X
24.2 = X
100 - 61 - 24.2 = X
39 - 24.2 = X
14.8 = X
Therefore, in the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these are samples that are consistent with what the company said.
To solve the absolute value equation you first need to get everything not in the absolute value bars to the other side of the equation.
Step 1) Divide by 4
|n+8| = 14
*Remember: when solving absolute value equations, you make what the expression (n+8) is equal to negative and positive. Not the other way around.
Step 2) Make two equations
n+8 = 14
n+8 = -14
Solve and you'll see that n= 6 and -22
We know that her mom will be home in 70 minutes and if its 4:12 then that means that her mom will be home at 5:22 because 70 minutes is 10 minutes more than an hour. If her gymnastics lessons are at 6:00 then she has 38 minutes in-between the time her mom gets home and her gymnastics lesson.
Hope this helped!
