Answer:
10
3.59
6 7/12
Step-by-step explanation:
4 - (-6)
= 4+ 6 ( because when we multiply the negative sign with the negative sign we get a positive sign or a plus sign)
= 10
-2.5 + 6.1 -10.3 - (-7.79) -4 + 6 1/2
= -2.5 + 6.1 -10.3 +7.79 -4 + 6.5 [ (-*-=+) ( converting 6 1/2 into decimal = 6.5)]
= 6.1+7.79+ 6.5 -2.5 -10.3-4 { adding the + numbers and - numbers separately}
= 20.39 - 16.8 { subtracting the totals of + and - numbers}
= 3.59
8 5/6 + (-2 1/4)
= 53/6 - 9/4 { Converting into improper fractions}
= 53( 2) - 9(3)/12 { Taking LCM = 12}
= 106-27/12
= 79/12
= 6 7/12
{ Converting into improper fractions and vice versa}
- we multiply the denominator with the whole number and add it to the numerator to get the improper fraction.( 8 5/6= 53/6)
- we divide the numerator with the denominator the answer gives the whole number and the remainder gives the numerator of the proper fraction. ( 79/12 = 6 7/12)
{ Taking LCM = 12}
Factors of 6 are 3 and <u>2</u>
Factors of 4 are 2 and <u>2</u>
Least Common Multiple is taking the common factors and multiplying it with the rest . 2 is common in both . It will be taken once and then multiplied with the other 2 and 3 so we get
LCM = 2*2*3= 12
Answer:
D. on edge
Step-by-step explanation:
Answer:
a) A sample size of 5615 is needed.
b) 0.012
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
99.5% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
(a) Past studies suggest that this proportion will be about 0.2. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015.
This is n for which M = 0.015.
We have that 
A sample size of 5615 is needed.
(b) Using the sample size above, when the sample is actually contacted, 12% of the sample say they are not satisfied. What is the margin of the error of the confidence interval?
Now 
.
We have to find M.
-x+6>-(2x+4)
first distirubte
-x+6>-2x-4
add 1x to both sdies
6>-x-4
add 4 to both sdies
10>-x
multily -1 and don't forget to switch > to <
10<x
(9z+5)/4+18<26
multply both sdies by 4 to get rid of fraction
9z+5+72<104
add like terms
9z+77<104
subtract 77
9z<27
divide both sdies by 9
z<3
The answer is B. +$200. Because when Ralph purchased the vase for $400 and is selling them at a higher price for $600. The difference is $200. He has gained $200 as a profit for every vase that is sold.
