Answer:
Step-by-step explanation:
Given
Proportion = 55%
Required
Probability that at least one out of 7 selected finds a job
Let the proportion of students that finds job be represented with p
Convert to decimal
Let the proportion of students that do not find job be represented with q
Such that;
Make q the subject of formula
In probability; opposite probabilities add up to 1;
In this case;
Probability of none getting a job + Probability of at least 1 getting a job = 1
Represent Probability of none getting a job with P(none)
Represent Probability of at least 1 getting a job with P(At least 1)
So;
Solving for the probability of none getting a job using binomial expansion
Where and n = 7; i.e. total number of graduates
For none to get a job, means 0 graduate got a job;
So, we set r to 0 (r = 0)
The probability becomes
Substitute 7 for n
Substitute and
Recall that
Substitute
Make P(At least 1) the subject of formula
<em>(Approximated)</em>
Answer:
A
Step-by-step explanation:
y - 3 = 4(x+5)
Let's convert the point-slope equation to y-intercept form: y = mx + b
Distribute the 4 to the equation inside the parenthesis
y - 3 = 4x + 20
Add 3 to both sides
y - 3 = 4x + 20
+ 3 + 3
y = 4x + 23
The slope of this equation is 4, meaning our equation's slope will have to be -1/4 to be perpendicular
y = -1/4x + b
Plug in the given x and y
-3 = -1/4(4) + b
-3 = -1 + b
Add 1 to both sides
-3 = -1 + b
+ 1 + 1
b = -2
y = -1/4x - 2
Answer:
7-y=-3(6-x)
Step-by-step explanation:
Point slope form:
Substitute y in for 7. Substitute x in for 6. Substitute m in for -3.
Answer: B. GCF of 72 and 81 is 9.
C. 72+81 = 9(8+9)
Step-by-step explanation:
The greatest common factor of two or more numbers is the highest number that divides all of them.
Given numbers : 72 and 81
Prime factorization of 72 and 81:
72 = 2 x 2 x 2 x 3 x 3
81= 3 x 3 x 3 x 3
GCF(72,81) = 3x 3 =9
Consider 72+81 = 9 x 8 + 9 x 9 [72= 8 x 9, 81 = 9 x 9]
= 9(8+9)
Hence, B. GCF of 72 and 81 is 9.
C. 72+81 = 9(8+9)
-4n-8=-12n+8
-4n+12n=8+8
collect the like terms
8n=8+8 then you add 8+8
8n=16 divide both sides by 8
n=2