Answer:
3/5
Step-by-step explanation:
Think: What's the greatest common factor of 18 and 30? It's 6.
Starting with 18/30, divide both numerator and denominator by 6, obtaining:
3/5
The pre tax cost of the four DVDs will be:
4 × 9.99 = 39.96
6.75% tax will amount to 6.75/100 × 39.96 →.0675 × 39.96 = 2.697 or 2.70 rounded off.
Cost of DVDs after tax will be 39.96 + 3.70 = 42.66 $
20% discount will be 20/100 × 42.66 →0.2 × 42.66 = 8.53 $
Cost of DVDs with 20% discount will be 42.66 - 8.53 = 34.13
Rounded off to the nearest cent, the total cost of the order is 34 $ and 10 cents.
Answer:
I'm guessing you are wondering how many miles are in the distance. The answer would be 75
Step-by-step explanation:
30 ÷ 2 = 15
15 × 5 = 75
Answer:
b. The student's scores on the posttest would have a smaller standard deviation.
Step-by-step explanation:
The first test is taken before the material is covered in class so we expect the standard deviation to be high because not everyone's scores would be lying close to the mean. Equal number of students mastered most, some or almost none of the material from reading the textbook based on the pretest result. this means the data is varying, so the standard deviation is large.
Whereas, after the teacher has taught the material and given the homework, they must have understood most of the material. The test they take after teaching as a post test. The results of the post test would have a smaller standard deviation as most of the students would have scored good. Hence, the student's scores on the posttest would have a smaller standard deviation.
Answer:
The probability that our guess is correct = 0.857.
Step-by-step explanation:
The given question is based on A Conditional Probability with Biased Coins.
Given data:
P(Head | A) = 0.1
P(Head | B) = 0.6
<u>By using Bayes' theorem:</u>

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.
Now,
P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)
By putting the value, we get
P(Head) = 0.5 × 0.1 + 0.5 × 0.6
P(Head) = 0.35
Now put this value in
, we get



Similarly.

Hence, the probability that our guess is correct = 0.857.