Use subtraction the answer is 44
Answer:
Step-by-step explanation:
Angles 153 and QRP are straight angles, and thus Angle QRP is
180 - 153, or 27 degrees.
The interior angles of the triangle must sum up to 180 degrees:
27 + (3y + 5) + (2y - 7) = 180.
combining like terms, we get:
5y - 25 = 180, or 5y = 155, or y = 31
Then Angle Q is 3(31) + 5, or 93
Angle P is 2(31) - 7, or 55, and
Angle QRP is 27 degrees (found earlier).
sin α = opposite leg/ hypotenuse
For ΔABC,
sin A = |BC|/|AB|
sin A = 12/37
Answer:
a) 8*88*10⁻⁶ ( 0.00088 %)
b) 0.2137 (21.37%)
Step-by-step explanation:
if the test contains 25 questions and each questions is independent of the others, then the random variable X= answer "x" questions correctly , has a binomial probability distribution. Then
P(X=x)= n!/((n-x)!*x!)*p^x*(1-p)^(n-x)
where
n= total number of questions= 25
p= probability of getting a question right = 1/4
then
a) P(x=n) = p^n = (1/4)²⁵ = 8*88*10⁻⁶ ( 0.00088 %)
b) P(x<5)= F(5)
where F(x) is the cumulative binomial probability distribution- Then from tables
P(x<5)= F(5)= 0.2137 (21.37%)
Anything multiplied by zero is zero
