Answer:
-10 points
Step-by-step explanation:
A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?
Let us say Initial number of points = 0
Hence,
He answers 2 incorrectly = 0 - 50 - 50
= -100
He answers 3 correctly =-100 + 30 + 30 + 30
His final score = -100 + 30 + 30 + 30
= -10 points
Answer:
A.
by the SAS postulate.
Step-by-step explanation:
We have been two triangles. We are asked to determine the theorem by which both triangles could be proven congruent.
We can see that side DF of triangle DEF is equal to side AC of triangle ABC.
We can also see that side BC of triangle ABC is equal to side EF of triangle DEF.
The including angle between sides AC and BC of triangle ABC is equal to the including angle between sides DF and EF of triangle DEF.
Since both triangles have two sides and their included angles equal, therefore, triangle ABC is congruent to triangle DEF by SAS (Side-Angle-Side) congruence and option A is the correct choice.
C = πd ( in terms of the diameter ), C = 2πr ( in terms of the radius )
Answer:
Given :An Internet survey was e-mailed to 6977 subjects randomly selected from an online group involved with ears. There were 1337 surveys returned.
To Find : Use a 0.01 significance level to test the claim that the return rate is less than 20%.
Solution:
n = 6977
x = 1337
We will use one sample proportion test



We are given that the claim is the return rate is less than 20%.

Formula of test statistic = 
= 
= 
Refer the z table
P(z<-1.85)=0.0332
Significance level = 0.01=α
Since p value > α
So, we accept the null hypothesis .
So,the claim that the return rate is less than 20% is false.