Answer:
Its the second option:
f(x) = (x + 3)(x - 1)(x - 4).
Step-by-step explanation:
As it passes through x = -3 that is one root so one factor is (x + 3).
As it also passes through x = 1 another factor is (x - 1).
Also as it passes through x = 4 the third factor is (x - 4).
Answer:
Hypotenuse = 85 cm
Hypotenuse = 89 cm
Hypotenuse = 103.08 cm (Approx.)
Hypotenuse = 54.71 cm (Approx.)
Step-by-step explanation:
Shape 1
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √36² + 77²
Hypotenuse = √1,296 + 5,929
Hypotenuse = √7,225
Hypotenuse = 85 cm
Shape 2
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √39² + 80²
Hypotenuse = √1,521 + 6,400
Hypotenuse = √7,921
Hypotenuse = 89 cm
Shape 3
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √25² + 100²
Hypotenuse = √625 + 10,000
Hypotenuse = √10,625
Hypotenuse = 103.08 cm (Approx.)
Shape 4
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √17² + 52²
Hypotenuse = √289 + 2,704
Hypotenuse = √2,993
Hypotenuse = 54.71 cm (Approx.)
Answer: 1 = 8 cups because 2 x 4 = 8.
2. 35... 7 x 10 = 70, 70 / 2 = 35
1
3. 20.53 + 1.55 + 0.02.. line up decimals!
<u> + 1.55</u>
22.08
4. Mean is average.
so add up all the numbers and divide by the amount of numbers you added
18+9 = 27, 27 + 15 = 42, 42 + 11 = 53, 53 + 13 = 66, 66 + 15 = 81.
81 divided by 6 = 13.5 or 13 1/2.
5. c = 5b
b=55
c = 5 x 55
5 x 55 = 275.
c = 275.
<u>NEXT PAGE</u>
<u></u>
1. 48, 6 x 8 = 48.
2. 6, 4 x 3 = 12, 12 / 2 = 6
1
3. 9. 12 + 5.78 + 6.01
5.78
<u>+ 6.01</u>
20.91
4. 36 + 42 + 66 + 54 + 23 = 221, 221 / 5 = 44.2 or 44 1/5
5. t = 20c c = 21
t = 20 x 21 = 420
t = 420.
Answer:
I'm not entirely sure but I got:
Answer:
0.7422 = 74.22% of scores are above 74.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Calculate the proportion of scores above 74.
This is 1 subtracted by the pvalue of Z when X = 74. So
has a pvalue of 0.2578
So 1-0.2578 = 0.7422 = 74.22% of scores are above 74.
