If all the angles of the triangle must equal 180, then we have to subtract the 2 known values from 180.
180 - 68.5 - 49.5 = x
62 = x
So that means the missing side is equal to 62!
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Hi there,
9. Which of the following is the value of x in the solution to the
system of equations given below?
8 + 2x = 5y (1)
4x - y = 2 (2)
▪ (1)
y = ( 8 + 2x ) ÷ 5
▪ (2)
4x - [( 8 + 2x ) ÷ 5] = 2
( 20x - 8 - 2x ) ÷ 5 = 2
20x - 8 - 2x = 2 × 5
20x - 2x = ( 2 × 5 ) + 8
18x = 10 + 8
18x = 18
x = 18 ÷ 18
x = 1
The answer is : A. 1
•It was nice to help you, SkullNoggin!
Answer:
b) In 10 weeks, the loan is paid in full.
Step-by-step explanation:
10×$100=$1000
Answer: Our required probability is 0.83.
Step-by-step explanation:
Since we have given that
Number of dices = 2
Number of fair dice = 1
Probability of getting a fair dice P(E₁) = 
Number of unfair dice = 1
Probability of getting a unfair dice P(E₂) =
Probability of getting a 3 for the fair dice P(A|E₁)= 
Probability of getting a 3 for the unfair dice P(A|E₂) = 
So, we need to find the probability that the die he rolled is fair given that the outcome is 3.
So, we will use "Bayes theorem":
Hence, our required probability is 0.83.
Answer:
Since the calculated z=40 falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.
Step-by-step explanation:
The national average is 17% .The z proportional hypothesis test is used.
1) Let the null and alternate hypothesis be
H0: p =0.17
against the claim
Ha: p ≠ 0.17
Choose the significance level ∝= 0.05
The critical region is z > 1.96 and Z <- 1.96 because it is two tailed test.
Computing
z= p^-p / sqrt [pq/n]
Z= 0.22-0.17/ √0.17*(1- 0.17)/90147
z= 39.965
Since the calculated z=40 falls in the critical region this indicates that the true obesity rate for children in Marion County is different from the national average at the 0.05 significance level. We reject the null hypothesis that population proportion is 0.17.
