Answer:
x = -16 or x = 6
Step-by-step explanation:
To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.
x² + 10x - 96 = 0
We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.
(x + 16)(x - 6) = 0
If a product of two factors equals zero, then one factor or the other or both must equal zero.
x + 16 = 0 or x - 6 = 0
x = -16 or x = 6
Answer:
e = 1.04
Step-by-step explanation:
To find e, we apply the sine rule
e/sineE = f/sineF
e/sine55 = 1.2/sine109
e/0.8192 = 1.2/0.9455
0.9455e = 1.2 x 0.8192
e = 0.9830/0.9455
e = 1.0397
to nearest tenth = 1.04inch
Answer:
Check Explanation.
Step-by-step explanation:
The sample will be a representative of the entire build us in the city.
For a sample size 35, 3 have fire code violations, hence, the proportion of houses with fire code violations = (3/35) = 0.0857 = 8.57 %
The uncertainty in the estimate is given in the form of standard error.
Standard error = √[(p(1-p)/n]
n = sample size = 35, p = 0.0857, 1 - p = 0.9143
Standard error of the sample = √(0.0857×0.9143/35) = 0.1616
In terms of the population, (0.1616/35) = 0.00462
Proportion of buildings with fire code violations = (8.57 ± 0.462) %
Answer:
3000 words
Step-by-step explanation:
450 words in 3 minutes is 150 words in 1 minute. 20 minutes = 1 times 20.
1 minute = 150 words so 150 words times 20 minutes = 3000 words.
12.36% I think sorry if its wrong ;-;
