"If 5x+7=-13, then x=-4"
The contrapositive is the inverse and converse of a conditional statement. So, the contrapositive of this statement would be:
"If x does not equal -4, then 5x+7 does not equal -13."
Answer:
Step-by-step explanation:
Given that the sample mean for a random sample of 100 cars is 27.2 miles and assume the standard deviation is 2.4 miles.
H0: x bar = 25.9
Ha: x bar ≠ 25.9
(Two tailed test at 95% confidence)
Alpha =0.05
The hypothetical mean is 25.900
The actual mean is 27.200
The difference between these two values is 1.300
The 95% confidence interval of this difference:
From -3.462 to 6.062
t = 0.5417
df = 99
standard error of difference = 2.400
The two-tailed P value equals 0.5893
Since p >0.05 this difference is considered to be not statistically significant.
<h3>
Answer: 10.68% decrease (choice F)</h3>
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Explanation:
A decrease of 23% means that you still retain 77% of the original value. This is because 23% + 77% = 100%. Or you could write it like this: 100% - 23% = 77%. The 77% then converts to the multiplier 0.77
An increase of 16% will involve the multiplier 1.16 in which we can think of it like 1.16 = 1 + 0.16 = 100% + 16%
Now we'll multiply those two decimal values mentioned:
0.77*1.16 = 0.8932
This result is smaller than 1, so we have a percent decrease of some sort. Subtract it from 1 to find the decimal form of the percent decrease
1 - 0.8932 = 0.1068
Lastly, move the decimal point 2 spots to the right:
0.1068 converts to 10.68%
We have a decrease of 10.68% overall when combining the initial 23% decrease followed by the 16% increase.
It turns out the order doesn't matter, and we could do the 16% increase first then the 23% decrease next. The key as to why the order doesn't matter all relies on the fact that multiplication can be done in any order. As you can probably guess, this process can be extended for as many percentage increases and/or decreases that you want.
49/7 = 7 as a whole number