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White raven [17]
2 years ago
5

Given that (9,-8) is on the graph of f(x), find the corresponding point for the function f(x-2)

Mathematics
1 answer:
MrRa [10]2 years ago
4 0

Answer:

(11,-8)

Step-by-step explanation:

f(x-2) determines a horizontal translation 2 units to the right. Since (9,-8) is the point for f(x) then f(x-2) will be the point (11,-8) where 9 has moved two units to the right 11.

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Answer:

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Step-by-step explanation:

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kaheart [24]

Answer:

53

Step-by-step explanation:

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5 0
3 years ago
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
hammer [34]

Answer:

a) The probability that this whole shipment will be​ accepted is 30%.

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

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

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

8 0
3 years ago
Which number line represents the solution to -3x ≤ -36?
seraphim [82]

Answer:

x ≥12

Step-by-step explanation:

-3x ≤ -36

Divide each side by -3, remembering to flip the inequality

-3x/-3 ≥ -36/-3

x ≥12

4 0
3 years ago
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