<h2>Solution :- </h2>
Let the number be "x" , then according to the question :
• 2x - 12 = -8
Further solving
→ 2x = -8 + 12
→ 2x = 4 .
→ x = 2
Answer:
1) 6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
x = 10 feet
2) 15^2 + 8^2 = x^2
225 + 64 = x^2
x ^ 2 = 289
guy rope = 17 feet
Step-by-step explanation:
Answer:
P(Y ≥ 15) = 0.763
Step-by-step explanation:
Given that:
Mean =135
standard deviation = 12
sample size n = 50
sample mean
= 140
Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses
Then,

The probability that X is greater than 140 is :
P(X>140) = 1 - P(X ≤ 140)



From z tables,


Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140
Then;


∴
P(Y ≥ 15) = 1- P(Y< 15)
P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

P(Y ≥ 15) = 0.763
Answer:
So 3x = x +8 is your equation
We adjust the equation to isolate the x and we end up with 2x = 8
We have to isolate the x even more to turn it into x = 4.
So our final answer is x = 4
Answer:
x = 3, -1/2
Step-by-step explanation:
Use the quadratic formula: x = [-b ± √b² - 4ac]/2a
The square root sign should be over the entire expression b² - 4ac
In this problem, a = -6, b = 15, and c = 9
So, putting in those values, we get x = -15 ± √225+216, all divided by -12
Simplifying further, we get -15 ± 21 all divided by -12, or -36/-12 = 3 OR
6/-12 = -1/2