Answer:
53.13
Step-by-step explanation:
cos^-1(54/90)
Answer:
(19x-290)/(4(x+2)(x-6)
Step-by-step explanation:
Apply Fraction Rule:
(41)/(4x+8)-(11)/(2x-12)
Factor:
(41)/4(x+2)-(11)/(2x-12)
Factor:
(41)/4(x+2)-(11)/2(x-6)
LCM:
(41)(x-6)/(4)(x+2)(x-6)-(22(x+2))/(4)(x+2)(x-6)
Expand:
= (19x-200)/4(x+2)(x-6)
Answer:
The difference of two numbers is 5:
x - y = 5
Their quotient is 2:
x/y = 2
Since x/y = 2 then x = 2y
Substituting into x-y=5 gives:
2y - y = 5
y = 5
x = 2y = 2(5) = 10
Your numbers are 10 and 5
Hope it helps
Step-by-step explanation:
Answer:
0.9146 = 91.46% probability that the proportion of persons with a college degree will differ from the population proportion by less than 4%
Step-by-step explanation:
Problems of normally distributed samples are 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.
For the sampling distribution of a sample proportion of size n, we have that
In this problem, we have that:
What is the probability that the proportion of persons with a college degree will differ from the population proportion by less than 4%?
Population proportion between 0.47-0.04 = 0.43 and 0.47+0.04 = 0.51, which is the pvalue of Z when X = 0.51 subtracted by the pvalue of Z when X = 0.43. So
X = 0.51
has a pvalue of 0.9573
X = 0.43
has a pvalue of 0.0427
0.9573 - 0.0427 = 0.9146
0.9146 = 91.46% probability that the proportion of persons with a college degree will differ from the population proportion by less than 4%
Answer:
"Process is shown below"
Step-by-step explanation:
Since collinear, they are on the same line. They are positioned as below:
B-----------------------A-------------------C
AB, BC, and AC's expressions are given.
To find BC, first looking at the picture, we can say:
BC = AB + AC
Putting the expressions and solving for x:
7x+5 = 4x - 3 + 5x - 16
7x + 5 = 9x - 19
19 + 5 = 9x - 7x
24 = 2x
x = 12
1. BC = 7x + 5 = 7(12) + 5 = 89
2. AB = 4x - 3 = 4(12) - 3 = 48 - 3 = 45
3. AC = 5x - 16 = 5(12) - 16 = 60 - 16 = 44
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