Answer: 148 degrees
Step-by-step explanation:
The total measure of all exterior angles of a convex pentagon is 360 degrees.
If four of them equal 53 degrees then all those together is 212 degrees
53 times 4 = 212
Then you would just subtract 212 from 360 to see the measure of the last exterior angle. Which is 148 degrees!
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:
84
Step-by-step explanation:
i swear
To solve this, first solve the part of the equation in parentheses: (-4+3) = -1. Then multiply using the exponent 2 squared is 2×2 which is 4. Now the equation is -4(-1)+4. Next you multiply, -4(-1)=4. You are then left with 4+4 which equals 8.
-4(-4+3)+2 squared
-4(-1)+2 squared
-4(-1)+4
4+4
8
No honey they are not equal