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Arlecino [84]
2 years ago
13

Factor completely. 3x^2 – 36x + 60

Mathematics
1 answer:
konstantin123 [22]2 years ago
3 0

Answer:

3(x-10) (x-2)

Step-by-step explanation:

3x² - 36x+60

3(x² - 12x+20)

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How many inches are represented by 5 degrees on the rim of a 16-inch diameter flywheel
solniwko [45]
2 to the average 5 and times the inequality of 16-inch
5 0
3 years ago
Write the inequality: the speed limit on Rollins road is 35 miles per hour.
Radda [10]

Answer:

x < 35 mph

._._._._._._._._._

3 0
2 years ago
In Quebec, 90 percent of the population subscribes to the Roman Catholic religion. In a random sample of eight Quebecois, find t
AysviL [449]

Answer:

Probability that the sample contains at least five Roman Catholics = 0.995 .

Step-by-step explanation:

We are given that In Quebec, 90 percent of the population subscribes to the Roman Catholic religion.

The Binomial distribution probability is given by;

 P(X = r) = \binom{n}{r}p^{r}(1-p)^{n-r} for x = 0,1,2,3,.......

Here, n = number of trials which is 8 in our case

         r = no. of success which is at least 5 in our case

         p = probability of success which is probability of Roman Catholic of

                 0.90 in our case

So, P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= \binom{8}{5}0.9^{5}(1-0.9)^{8-5} + \binom{8}{6}0.9^{6}(1-0.9)^{8-6} + \binom{8}{7}0.9^{7}(1-0.9)^{8-7} + \binom{8}{8}0.9^{8}(1-0.9)^{8-8}

= 56 * 0.9^{5} * (0.1)^{3} + 28 * 0.9^{6} * (0.1)^{2} + 8 * 0.9^{7} * (0.1)^{1} + 1 * 0.9^{8}

= 0.995

Therefore, probability that the sample contains at least five Roman Catholics is 0.995.

3 0
3 years ago
Pumpkins at a local farm sell for $.49 per pound. Jim Ring spent $73.50. How many pounds of pumpkins were purchased?
Leona [35]
Number of pounds purchased multiplied by price per pound equals the total $ spent.

x= # pumpkin pounds purchased
0.49x=$73.50
Divide both sides by 0.49
x=150 pumpkin pounds purchased

Hope this helps! :)
6 0
3 years ago
Read 2 more answers
If the point A is located at ( –5, – 3) and A’ is the image of A after being rotated about the origin by 270° (counter clockwise
Ede4ka [16]

Answer:

A'(- 3, 5 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x ), hence

A(- 5, - 3 ) → A'(- 3, 5 )

5 0
3 years ago
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