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Brums [2.3K]
3 years ago
5

A student made in finding the interval(s)

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

Answer:

Positive:  (-1,3)

Negative: (-\infty,1)\cup (3,\infty)

Step-by-step explanation:

The graph represents a parabola that has a maximum vertex at (1,4).

The portion of the graph above the x-axis is considered positive

For -1\:, the function is positive.

We can write this in interval notation as: (-1,3)

For x\:>\:3 or x\: , the function is negative.

We can write this in interval notation as: (-\infty,-1)\cup (3,\infty)

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at a farm the ratio of the number of hens to the number of ducks is 3:5 there are 125 ducks at the farm how many hens are there
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3 : 5

x : 125

125 ÷ 5 = 25

25 × 3 = 75

no. of hens = 75

8 0
3 years ago
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During a recent student election only 1550 students voted if they were 2000 eligible voters what percent of students voted
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Hello there! To find the percentage of students that voted, all you have to do is divide the number of students that voted by the amount of eligible voters and multiply it by 100. 1,550/2,000 is 0.775. 0.775 * 100 is 77.5. There . 77.5% of students voted. The answer is C: 77.5%.
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x-intercept: -3 y-intercept: 3

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3 years ago
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Suppose that 80% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou
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Answer:

P=0.147

Step-by-step explanation:

As we know 80% of the trucks have good brakes. That means that probability the 1 randomly selected truck has good brakes is P(good brakes)=0.8 . So the probability that 1 randomly selected truck has bad brakes Q(bad brakes)=1-0.8-0.2

We have to find the probability, that at least 9 trucks from 16 have good brakes, however fewer than 12 trucks from 16 have good brakes. That actually means the the number of trucks with good brakes has to be 9, 10 or 11 trucks from 16.

We have to find the probability of each event (9, 10 or 11 trucks from 16 will pass the inspection) .  To find the required probability 3 mentioned probabilitie have to be summarized.

So P(9/16 )=  C16 9 * P(good brakes)^9*Q(bad brakes)^7

P(9/16 )= 16!/9!/7!*0.8^9*0.2^7= 11*13*5*16*0.8^9*0.2^7=approx 0.02

P(10/16)=16!/10!/6!*0.8^10*0.2^6=11*13*7*0.8^10*0.2^6=approx 0.007

P(11/16)=16!/11!/5!*0.8^11*0.2^5=13*21*16*0.8^11*0.2^5=approx 0.12

P(9≤x<12)=P(9/16)+P(10/16)+P(11/16)=0.02+0.007+0.12=0.147

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3 years ago
What property is 6+8=8+6
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The Property of Addition
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