Answer:
Y=76⁰
X=104⁰
Z=104⁰
Step-by-step explanation:
Y is equal to 76 bcz directly opposite angles are equal
x=180-76 which is 104⁰ bcz angles on a straight line add up to 180⁰
Answer:
(x - 8)(x + 3)
Step-by-step explanation:
x² - 5x - 24
Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × + 3 = - 24 and - 8 + 3 = - 5
Use these factors to split the x- term
x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )
= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term
= (x - 8)(x + 3) ← in factored form
Answer:
x = 14
Step-by-step explanation:
4x + 2x + 6 = 90
Combine like-terms
6x + 6 = 90
6x = 84
x = 14
Step-by-step explanation:
Exponential function: f(x)=250(1.03)^x
Simplify both sides of the equation.
f(x)=250⋅1.03x
Evaluate the function.
250⋅1.03x
Answer:
P(X = 0) = 0.25
P(X = 1) = 0.75
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The probability distribution of X.
3 red balls out of 4, one picked, so we can have either 0 red balls or 1 red ball. The probability disitribution is the probability of each outcome.

