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3 years ago

Help ? Plz forgot the steps (3z+9)(z-4)

1 answer:

3 0

It's a binomial times a binomial, so you FOIL
First multiply the First numbers
3z*z = 3z(^2)
Then multiply Outers:
3z* -4 = -12z
Nest, Inners:
9*z = 9z
Finally, the Lasts:
-4*9 = -36
Then, throw it all together in descending order, starting with the variable of highest degree to lowest:
3z^2 - 12z + 9z - 36
Last of all, simplify coefficients with like terms and you're good to go:
3z^2 - 3z - 36
Hope this helps!

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In answering on a multiple choice test, a student either know the answer or guesses. Let p be the probability that the students

LenaWriter [7]

Answer:

$P(A_{1}|B ) =\frac{mp}{1+p(m-1)}$

Step-by-step explanation:

For mutually exclusive events as A1, A2, A3, etc, Bayes' theorem states:

$P(A|B)= \frac{P(B|A)P(A)}{P(B)}$

P(A|B) is a conditional probability: the likelihood of event A occurring given that B is true.

P(B|A) is a conditional probability: the likelihood of event B occurring given that A is true.

P(A) is the probability that A occurs

P(B) is the probability that B occurs

For this problem:

A1 is the probability that the student knows the answer

A2 is the probability that the student guesses the answer

B is the probability that the student answer correctly

$P(A_{1})=p \\P(A_{2})=1-p \\P(B|A_{1})=1 \\P(B|A_{2})=\frac{1}{m} \\P(B)= P(A_{1})P(B|A_{1}) + P(A_{2})P(B|A_{2})= p+\frac{1-p}{m} \\$

P(B|A₁) means the probability that the answer is correct when he knew the answer

P(B|A₂) means the probability that the answer is correct when he guessed the answer

P(A₁|B) means the probability that he knew the answer when the answer was correct

Replacing everything in the Bayes' theorem you get:

$P(A_{1}|B)= \frac{P(B|A_{1})P(A_{1})}{P(B)}=\frac{(1)(p)}{p+\frac{1-p}{m}} =\frac{mp}{mp+1-p} =\frac{mp}{1+p(m-1)}$

5 0

2 years ago

5/2.35 = x/12 what does x=

postnew [5]

Answer:

$x = \frac{60}{2.35}$ or $x = 25.531...$

Step-by-step explanation:

Step 1: Cross Multiply

$\frac{5}{2.35} = \frac{x}{12}$

$5(12) = 2.35(x)$

$60 = 2.35x$

Step 2: Divide both sides by 2.35

$60 / 2.35 = 2.35x / 2.35$

$x = \frac{60}{2.35}$ or $x = 25.531...$

Answer: $x = \frac{60}{2.35}$ or $x = 25.531...$

5 0

3 years ago

Number Lines / Algebra. Can anyone please tell me to answers to all of these number lines below. Thank you!!

iren [92.7K]

I will do the first-two lines only.

-4 -3 -2 -1 0 1 2 3 4 5 6

Next line below.

-5 -4 -3 -2 -1 0 1 2 3 4 5

Do the rest.

5 0

3 years ago

Under which condition does a country with a small GDP have a large per capita income? if it has a large population if it has a s

ratelena [41]

Per capita means per head or per person.

now, if a country has a small GDP hmmm say for the sake of example, $1000, and it has 1000 residents, then the per capita is $1000/1000 or a buck each.

now, $1000 is a really tiny GDP, but, if the population is say hmm 20 folks only, then the per capita amount is $1000/20, or $50 per person, now, that's a large "per capita" figure, more so than $1 per person, even though the GDP never changed, it was all along $1000.

so, if the population is comparitively small, the per capita is large, I think a good example of that is Switzerland.

sidenote:

bear in mind that per capita figures are very misleading, since you could have a tiny portion of the population making huge amounts and others making little, like in the US, and the per capita is very inaccurate to reflect the economy wealth distribution.

7 0

3 years ago

Read 2 more answers

Find the distance between points P(1, 2) and Q(4, 8) to the nearest tenth. i neeeeeed help

Stella [2.4K]

The answer is
the vector PQ has (4-1, 8-2) as components, so it is vecPQ= (3, 6)
using the definition
the distance PQ= sqrt ( 3²+6²)= sqrt(9+36)=sqrt(45)

5 0

2 years ago