The answer is number 2.CD
Answer:
1.5
Step-by-step explanation:
Because the triangle are similar, they possess a proportional relationship in which the one triangle's side length is dilated by a unknown factor (y) to make its corresponding counterpart. Using this knowledge we can make the following two equations
3y=7 & xy=x+2 y is the variable representing the dilation factor
y=7/3 find the value of y
x(7/3)=x+2 substitute the value y into the equation
7/3x =x+2 solve for x
4/3x =2
(3/4)(4/3x)=2(3/4) multiply by the reciprocal
x=1.5
Answer:
The equation is 39=3r-6
Step-by-step explanation:
Let x = # of years from the start of the Great Depression to the first Presidential election of Nixon
Let r = Raul's age
The question gives us what x equals so...
x=39
Now we just turn the sentence into an equation.
"The number of years from the start of the Great Depression to the first Presidential election of Nixon [(x)] is six years less than three times Raul's age [(3r-6)]"
Remove the icky words...
x=3r-6
replace x with what it equals (39)
39=3r-6
Now you can go on to olve it
Overal Raul is only 15 :)
Answer:
Step-by-step explanation:
The probability an electric motor is defective is 5%. This means that the probability of success, p = 5/100 = 0.05
The probability of failure, q = 1 - p = 1 - 0.05 = 0.95.
number of samples is 100, so n = 100
We would apply binomial distribution. The formula for binomial distribution is expressed as
P(x = r) = nCr × q^(n - r) × p^r
We want to determine the probability that there would be no defective. This is expressed as
P(x = 0) = 100C0 × 0.95^(100- 0) × 0.05^0 = 1 × 0.0059 × 1 = 0.006
