The area of a rectangle is its <u>length x width</u>.
The perimeter of a rectangle is its <u>length + length + width + width</u>.
Let's have l stand for length and w for width. A will stand for area and P for perimeter. This gives us:
399 = l x w
80 = 2l + 2w We can divide both sides of this equation by 2 to get <u>40 = l + w</u>.
Now we need to find two numbers whose sum is 40 and product is 399.
Fitting some random numbers in gives us the numbers 19 and 21 for the length and width.
Answer:
The radius is 10 because the radius is half of the diameter
Probability that no samples are mutated is 0.83, probability that at most one sample is mutated is 0.9812 and probability that more than half the samples are mutated is 0.
Given percentage of rejuvenated mitochondria defective is 1%, and sample size is 18.
Binomial distribution is the probability of exactly x successes on n repeated trials and X can have two outcomes.
P(X=x)=
percentage of defective rejuvendated mitochondria=1%
p=0.01
Sample size=18
n=18
a) No samples are mutated
This means P(X=0)=
=0.83
b) At most one sample is mutated.
P(X<=1)=P(X=0)+P(X=1)
so,
P(X=0)=
=0.83
P(X=1)==
=0.1512
P(X<=1)=0.83+0.1512
=0.9812
c) More than half the samples are mutated.
P(X>9)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)+P(X=16)+P(X=17)+P(X=18)
Using two decimals digits precision all will be 0.
Hence Probability that no samples are mutated is 0.83, probability that at most one sample is mutated is 0.9812 and probability that more than half the samples are mutated is 0.
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Answer:
69.1% of the woman spend less than $160
Step-by-step explanation:
Assuming that the random variable X= spend on beauty products by women during summer months distributes normally , then using the standarized variable Z:
Z= (X - mean / st. dev) = (160.00-146 )/28 = 0.5
then using normal probability tables for Z:
P(X<160)=P(Z<0.5) = 0.691 (69.1%)
thus 69.1% of the woman spend less than $160
Answer:
x=-4
Step-by-step explanation:
(x+4) ^ (1/3) + (2x+8) ^ (1/3) = 0
Subtract (x+4) ^ (1/3) from each side
(x+4) ^ (1/3) - (x+4) ^ (1/3)+ (2x+8) ^ (1/3) = -(x+4) ^ (1/3)
(2x+8) ^ (1/3) = -(x+4) ^ (1/3)
Cube each side
(2x+8) ^ (1/3) ^3= -(x+4) ^ (1/3)^3
2x+8 = -(x+4)
Distribute the negative sign
2x+8 = -x -4
Add x to each side
2x+8 +x =-x+x-4
3x+8 = -4
Subtract 8 from each side
3x+8-8 =-4-8
3x =-12
Divide by 3
3x/3 = -12/3
x = -4