Answer: -2(x²+22x+40)
Step-by-step explanation:
When you factor an expression, you are taking out a common factor between the terms. A common factor we can take out is -2 or 2.
-2(x²+22x+40)
2(-x²-22x-40)
Both of these answers work, but we can also take out a -1, therefore, our factor is -2(x²+22x+40). Also, it looks nicer with more positive terms than negative.
<span>What is 7/17 as a decimal you ask? Converting the fraction 7/17 into a decimal is very easy.
To get 7/17 converted to decimal, you simply divide 7 by 17. Don't worry. You don't need to get the calculator out, because we did this for you.
7/17 as a decimal is:
0.411765
</span>
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
173
Decimal Form:
5.¯6
Mixed Number Form:
523
Step-by-step explanation:
Answer:
The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).
Step-by-step explanation:
Intern No. of Breast
Number Exams Performed X²
1 30 900
2 40 1600
3 8 64
4 20 400
5 26 676
6 35 1225
7 35 1225
8 20 400
9 25 625
<u>10 20 400 </u>
<u> </u><u> ∑ 259 ∑ 7515</u>
Mean= X`= ∑x/n= 259/10= 25.9
Variance = s²= 1/n-1[∑X²- (∑x)²/n]
= 1/0[7515- (259)²/10]= 1/9[7515- 6708.1]
= 806.9/9=89.655= 89.66
Standard Deviation= √89.655= 9.4687
Hence
The value of t with significance level alpha= 0.05 and 9 degrees of freedom is t(0.025,9)= 2.262
The 95 % Confidence interval is given by
x`±t(∝,n-1) s/√n
So Putting the values
25.9± 2.262( 9.4687/√10)
= 25.9 ±2.262 (2.9943)
= 25.9 ± 6.7730
= 25.9 +6.7730=32.6730
25.9 -6.7730= 19.1269
= 19.1269, 32.6730
The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).
in order to get rid of the denominator, multiply it with all the other numbers