Answer:
2, 7, 13
Step-by-step explanation:
182/2 = 91
91/7 = 13
The prime factors of 182 are 2, 7, and 13.
182 = 2×7×13
Answer:
The 99th percentile for a man’s arm span is 80.47 inches.
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:
99th percentile
X when Z has a pvalue of 0.99. So X when Z = 2.327.
The 99th percentile for a man’s arm span is 80.47 inches.
Answer:
1018.28
Given -
Diameter of cone = 18 cm
To get the radius divide it by 2 -
Radius, r = 18/2 = 9
height, h = 12 cm
To find -
Volume of cone.
Solution -
Volume = 1/3 hπr²
→ V = 1/3 18 × 22/7 × 9 × 9
→ V = 7128/7
→ V = 1018.28
Therefore, the volume of the cone is 1018.28.
Answer:
145
Step-by-step explanation:
We will let x equal our unknown number. So:
(x + 5)/2 = 75
Now we can solve for x
We can first multiply both sides of the equation by 2. This will get rid of the fraction on the left side:
x + 5 = 75 * 2 ----->
x + 5 = 150
Next, subtract 5 from both sides:
x + 5 - 5 = 150 - 5 ----->
x = 145
Answer:
ANSWER = −6x^5 +9x^4 − 9x^3
Step-by-step explanation:
Let's simplify step-by-step.
(−3x^3) (2x^2 + 3) + 9x^4
Distribute:
=(−3x^3) (2x^2) + (−3x^3) (3) + 9x^4
=−6x^5 + − 9x^3 + 9x^4
Answer:
= −6x^5 +9x^4 − 9x^3
