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sladkih [1.3K]
3 years ago
12

Point B on the number line shows Benny's score after the first round of a quiz: A number line is shown from negative 10 to 0 to

positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point B is shown on 2. In round two, he lost 6 points. Which expression shows how many total points he has at the end of round two?
A) 2 + 4 = −6, because −6 is 4 units to the left of 2
B) 2 + (−4) = −6, because −6 is 4 units to the left of 2
C)2 + 6 = −4, because −4 is 6 units to the left of 2
D)2 + (−6) = −4, because −4 is 6 units to the left of 2
Mathematics
1 answer:
Neko [114]3 years ago
7 0
D. <span>2 + (−6) = −4, because −4 is 6 units to the left of 2</span>
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A tire company produced a batch of 6 comma 700 tires that includes exactly 250 that are defective.
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Therefore, the probability that one is not defective is 6450/6700

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b. all 100 have to be not defective: (6450/6700)^100

If you type this into a calculator, you will get about 0.022, so a probability of 2 % that all of them are not defective. As this is a very small probability, the outlet should plan with returned tires.

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Answer:

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b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

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P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007

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