On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points. Lorenzo needs at least
2 answers:
Answer:
Step-by-step explanation:
Number of points scored for each multiple choice question = 4 points
Number of points scored for word problem = 8 points
Let x denotes number of correct multiple choice questions and y denotes number of correct word problems.
So,
Total points scored for correct multiple choice question = 4x
Total points scored for correct word problems = 8y
Number of points required by Lorenzo to earn B in class = Atleast 50 points
According to question,
Total points scored for correct multiple choice question + Total points scored for correct word problems 50
On taking 2 common, we get
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Answer:
4.979044478499338 × 10²⁶
Step-by-step explanation:
Combination can be used to determine the number of ways the mice can be selected for the drugs (A, B) and the control group.
Combination factorial is define by ⁿCr =
21 group of mice receiving Drug A can be selected in ⁶⁰C₂₁ =
(60 - 21 = 39 ) mice remained for selection of 21 mice for the second drug
Drug B 21 mice can be chosen with ³⁹C₂₁ =
( 39 - 21 = 18) remained for control with ¹⁸C₁₈ =
The number of ways the mice can be chosen for drug A, drug B and the control = ⁶⁰C₂₁ × ³⁹C₂₁ × ¹⁸C₁₈ = ×
×
= 4.979044478499338 × 10²⁶
Answer:
d. The average is equal to 12 ounces.
Step-by-step explanation:
In this problem, the drink filling machine must be perfectly calibrated at 12 ounces since it needs to be shut down in cases of overfilling (mean > 12 ounces) and underfilling (mean < 12 ounces). Therefore, the correct approach would be to test if the mean is 12 ounces and the correct set of hypothesis would be:
The correct alternative is d. The average is equal to 12 ounces.