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dimaraw [331]
2 years ago
5

Please answer below :-)

Mathematics
2 answers:
prohojiy [21]2 years ago
6 0

Answer:

(x+3)(x+2)

Step-by-step explanation:

The numbers 2 and 3 add to 5 and multiply to 6. Therefore when you put them in a factor box, you will end up with x^2+5x+6

sertanlavr [38]2 years ago
6 0
Answer : (x+3) (x+2) :

Step-1 : Multiply the coefficient of the first term by the constant 1 • 6 = 6

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 5 .

-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7
2 + 3 = 5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 3
x2 + 2x + 3x + 6

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+2)
Add up the last 2 terms, pulling out common factors :
3 • (x+2)
Step-5 : Add up the four terms of step
(x+3) (x+2)



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A practice law exam has 100 questions, each with 5 possible choices. A student took the exam and received 13 out of 100.If the s
Cloud [144]

Answer:

z=\frac{13-20}{4}=-1.75

Assuming:

H0: \mu \geq 20

H1: \mu

p_v = P(Z

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest (number of correct answers in the test), on this case we now that:

X \sim Binom(n=100, p=0.2)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We need to check the conditions in order to use the normal approximation.

np=100*0.2=20 \geq 10

n(1-p)=20*(1-0.2)=16 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=100*0.2=20

\sigma=\sqrt{np(1-p)}=\sqrt{100*0.2(1-0.2)}=4

So we can approximate the random variable X like this:

X\sim N(\mu =20, \sigma=4)

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  The letter \phi(b) is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: \phi(b)=P(z

The z score is given by this formula:

z=\frac{x-\mu}{\sigma}

If we replace we got:

z=\frac{13-20}{4}=-1.75

Let's assume that we conduct the following test:

H0: \mu \geq 20

H1: \mu

We want to check is the score for the student is significantly less than the expected value using random guessing.

So on this case since we have the statistic we can calculate the p value on this way:

p_v = P(Z

5 0
2 years ago
What does the quantity 28-8 represent?
nikklg [1K]
You question implies simple subtraction is needed:

28-8=20
5 0
2 years ago
a right triangle has a hypotenuse with a length of 20. the lengths of the legs are whole numbers. what are the lengths of the le
Y_Kistochka [10]

Answer:

12;16

Step-by-step explanation:

The Pythagorean theorem states that

a^2+b^2=c^2 where a and b are legs of a triangle, and c is the hypotenuse.

This means that we have to find 2 values that once squared, add up to 400. (20^2)

Based on this, we can use the values of 12 and 16 to satisfy this.

12^2+16^2=144*256=400

Therefore, the legs of the triangle are 12 and 16.

5 0
3 years ago
Which of the following is the equation of a line parallel to the line y = 4x + 1,
Lisa [10]

Answer:

y = 4x - 19

Step-by-step explanation:

The line is parallel to the line whose equation is;

y = 4x + 1

Parallel lines have the same slope so the slope of our line is 4.

The line passes through point (5,1)

Slope = change in y ÷ change in x

Taking another point (x,y) on the line,

Slope = \frac{y-1}{x-5} = 4

y - 1 = 4x - 20

y = 4x - 19

4 0
3 years ago
HELP ME PLEASE I NEED TO PASS THIS
irga5000 [103]

Answer:

i believe the answer is D

5 0
2 years ago
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