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r-ruslan [8.4K]

3 years ago

13

Is this prime or can it be factored?

1 answer:

poizon [28]3 years ago

3 0

Factor the following:
6 x^2 - 19 x + 10
Factor the quadratic 6 x^2 - 19 x + 10. The coefficient of x^2 is 6 and the constant term is 10.
The product of 6 and 10 is 60. The factors of 60 which sum to -19 are -4 and -15.
So 6 x^2 - 19 x + 10 = 6 x^2 - 15 x - 4 x + 10 = 2 x (3 x - 2) - 5 (3 x - 2):
2 x (3 x - 2) - 5 (3 x - 2)
Factor 3 x - 2 from 2 x (3 x - 2) - 5 (3 x - 2):
Answer: (3 x - 2) (2 x - 5)

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Bridgette had a whole pie. She ate 1/4 of the pie for a snack and ate another 25% of the pie for dessert. What fraction of the p

Kisachek [45]

Answer:

1/2

Step-by-step explanation:

Bridgette ate 1/4 of the pie, and 25% of the pie.

25% is converted to 1/4.

1/4 + 1/4 = 1/2.

1 - 1/2 = 1/2.

Bridge did NOT eat 1/2 of the pie.

8 0

3 years ago

Read 2 more answers

Estimate 19% of 44. 8, 9, 9.5, 10

Anna71 [15]

10% of 44 is 4.4 and 5% is 2.2 so 6.6 is 15% so an estimate of 8 is the most accurate

4 0

3 years ago

Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93

Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

$M = \frac{a + b}{2}$

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 2.93 and 3.1 volts

This means that $a = 2.93, b = 3.1$ . So

Mean:

$M = \frac{2.93 + 3.1}{2} = 3.015$

Standard deviation:

$S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049$

What is the probability that a battery has a voltage less than 2.98?

$P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941$

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

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2 years ago

Erica baby sits for 4 1/2 hours and is paid $27.

nalin [4]

A. Erica gets 6 dollars per hour.
B. She would get 48 dollars for 8 hours.
C. I would say 5 and a half hours. Maybe 5 hours and 45 minutes.

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3 years ago

Please write the converse of the statement. If Daphne has flu, then she is ill

Hitman42 [59]

Converse = reversing two statements

If she is ill, then Daphne has the flu.

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3 years ago