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guajiro [1.7K]
3 years ago
10

List all factors of 36

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0
The factors of 36 are the following: 1, 2, 3, 4, 6, 9, 12, 18, and of course, 36 :)
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A line has a slope of -3/2 and has a y-intercept of 3. What is the x-intercept of the line?
timofeeve [1]

Answer:

x = 2

Step-by-step explanation:

the equation of the line can be found using the slope intercept form

y = mx +b

y= -3/2 x + 3

x intercept is found by setting y=0 bc that will give you the x-value at which the line crosses the x -axis so

0 = -3/2x+3 (subtract the 3 on both sides) would cancel out the + 3 and would

-3 = -3/2 x  (divide by -3/2 on both sides to cancel out the -3/2)  

x = 2

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3 years ago
Rewrite the function by completing the square.<br> f(x) = x2 – 10x + 44<br> +<br> f(x) = (x+
iVinArrow [24]

Answer:

f(x)=(x-5)^{2}+19

Step-by-step explanation:

we have

f(x)=x^{2}-10x+44

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-44=x^{2}-10x

Complete the square. Remember to balance the equation by adding the same constants to each side.

f(x)-44+25=x^{2}-10x+25

f(x)-19=x^{2}-10x+25

Rewrite as perfect squares

f(x)-19=(x-5)^{2}

f(x)=(x-5)^{2}+19

8 0
3 years ago
Compute​ P(x) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate thi
stich3 [128]

Answer:

The answers to the questions are;

A) P(X) where x = 12 is equal to 3.55 ×10⁻²

B) P(x) using the normal distribution is given by the probability distribution function and is equal to 3.453 ×10⁻²

C) The calculated probabilities of P(x=12) using the binomial probability formula and the probability distribution function differ by 9.7×10⁻⁴

D) The normal distribution be used to approximate this probability because     a. because np(1-p) %u2265 ⇒ np(1-p) ≥ 10

E) c. the value of fi represents the expected proportion of observation less than or equal to the ith data value.

Step-by-step explanation:

To solve the question, we note that

n = 58

p = 0.3

x = 12

Here we have n·p = 17.4 and n·q = 40.6 both ≥ 5 that is the normal distribution can be used to estimate the probability

A) We are to use the binomial probability formula to find P(X)

Where x = 12, we have P(12) = ₅₈C₁₂×0.3¹²×0.7⁴⁶

= 891794789340×0.000000531441×7.49×10⁻⁸ = 3.55 ×10⁻²

B) Using the standard distribution table we have

the z score for x = 12 given as z = \frac{x-\mu}{\sigma} = -1.55

From the normal distribution table, we have the probability that value is below 12 = .06057 while the normal probability distribution function which gives the probability of a number being 12 is given by

\frac{1}{\sigma\sqrt{2 \pi } } e^{\frac{-(x-\mu)^2}{2\sigma^2} }

where:

σ = Standard deviation = \sqrt{npq} = \sqrt{np(1-p)} = \sqrt{58*0.3*(1-0.3)} = 3.48999

μ = Sample mean = n·p = 58×0.3 =17.4

Therefore the probability density function is \frac{1}{3.49\sqrt{2 \pi } } e^{\frac{-(12-17.4)^2}{2*3.49^2} } = 3.453*10^{-2}

C)  The probabilities differ by 3.55 ×10⁻² -  3.453 ×10⁻² =  9.7×10⁻⁴

D) The normal distribution be used to approximate this probability because     n·p and n·p·(n-p) ≥ 5

E)   f_i represents the area under the curve towards left of the ith data observed in a normally distributed population.

Therefore, the value of fi represents the expected proportion of observation less than or equal to the ith data value  

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3 years ago
Find the measure angle measure.
ZanzabumX [31]

Answer:

42.3

Step-by-step explanation:

add both angles then subtract by 180 and the negative number is your answer

6 0
3 years ago
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Answer please. If you answer, you get 44 points. I don't use the points here. So answer please. I want full work.
ra1l [238]

Answer: you simplfy the two equations already there then plug them in to find factors

Step-by-step explanation:

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3 years ago
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