Step-by-step explanation:
First, distribute the -4 to the parenthesis:
24a-22=-4+24a
Add 22 to both sides:
24a-22+22=-4+22+24a
Simplify:
24a=18+24a
Subtract 24a from both sides:
24a-24a=18+24a-24a
Simplify:
0=18
hope this helps :)
Answer: 0.9477
Step-by-step explanation:
p = 10% = 0.1, q = 90% = 0.9, n = 4
The question follows a binomial probability distribution since the experiment (defectiveness of random sample of calculator) is performed more than once ( 4 calculators are defective).
The question is to find the probability that not more than one in a random sample of 4 calculators is defective that's
p(x≤1) = p(x=0) + p(x=1)
The probability mass function of a binomial probability distribution is given below as
P(x=r) =nCr × p^r × q^n-r
At x = 0
p(x=0) = 4C0 × 0.1^0 × 0.9^4-0
p(x=0) = 4C0 × 0.1^0 × 0.9^4
p(x=0) = 1 × 1 × 0.6561
p(x=0) = 0.6561.
At x = 1
p(x=1) = 4C1 × 0.1^1 × 0.9^4-1
p(x=1) = 4C1 × 0.1^1 × 0.9^3
p(x=1) = 4 × 0.1 × 0.729
p(x=1) = 0.2916
p(x≤1) = 0.6561 + 0.2916 = 0.9477
Answer:
28. (H) 24 ft
30. (F) 
Step-by-step explanation:
28. A right triangle can be formed, where the length of the cable represents the hypotenuse, and the ground represents the base of the triangle. From the pythagorean theorem,
where a and b are legs, and c is the hypotenuse of a right triangle.
So
30. The probability of drawing a red 1 is 
(a red star 1 or a red heart 1), the probability of drawing a black 3 is (a black triangle 3 or a black circle 3), and the probability of drawing a six of hearts is 
(since there is only one six of hearts in the entire deck). Since each of the cards is mutually exclusive from one another, the probability of drawing any of them is simply all of their probabilities added together. That is,
A(0,0) A'(2,1)
distance(AA') = √(2^2 + 1^2)
= √5
= 2.24
answer
Distance AA' = √5 or = 2.24
Answer:
y = -x + 6
Step-by-step explanation:
<u>Use point slope form: (y - y1) = m(x - x1)</u>
m is -1
<u>Step 1: Plug in</u>
(y - (-4)) = -1(x - 10)
y + 4 - 4 = -x + 10 - 4
y = -x + 6
Answer: y = -x + 6
