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2 years ago

Please help me I will give you the brain thing and extra points. (image below) 1/13

Mathematics

2 answers:

Gekata [30.6K]2 years ago

7 0

Answer:

50 Barrles filled at a certain time.

Step-by-step explanation:

Lunna [17]2 years ago

3 0

Answer:

50 barrels

Step-by-step explanation:

it should be 50 because that is where the point of intersection is

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Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask

Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

$P(x=r)=^nC_r p^r q^{n-r}$

Where, $^nC_r=\frac{n!}{r!(n-r)!}$

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

$P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}$

$=56(0.4)^5 (0.6)^3$

$=0.12386304$

(b) the probability of the number that say they would feel secure is more than five

$P(X>5) = P(X=6)+ P(X=7) + P(X=8)$

$=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}$

$=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8$

$=0.04980736$

(c) the probability of the number that say they would feel secure is at most five

$P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)$

$=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}$

$=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3$

$=0.95019264$

8 0

3 years ago

Explain how you would solve for the value of x when you are given the solution to a function.

Svetlanka [38]

Answer:

Substitute

Step-by-step explanation:

Substitute the values given in the function

and you will get the answer.

P.s. It depends on the question

3 0

2 years ago

Are the following equations equivalent why or why not Branilist for people who explain

wariber [46]

Answer:

Yes, they are equivilant

Step-by-step explanation:

5(3m+2p)-4m = 13p+11m-3p

Distribute 5: 15m+10p-4m = 13p+11m-3p

Combine like terms: 15m+(-4m) = 11m ; 13p+(-3p) = 10p

11m+10p = 11m+10p

6 0

2 years ago

In triangle POR, PO = 9cm and PR = 12cm. If

Olin [163]

Answer:

Area of trangle = 1÷2 (9×12×sinRpo)

23= 1÷2 (108×sinRPO)

8 0

3 years ago

Select the two values of x that are roots of this equation.

makkiz [27]

Answer:

$\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}$

Step-by-step explanation:

Given :-

A quadratic equation is given to us.
The equation is 2x² + 7x +6=0

And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,

Given equation :-

$\implies 2x^2 + 7x +6=0$

Step 1: Find out the factors of 12 :-

We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .

And 3 + 4 = 7. So we will break the middle term into 3x and 4x .

Step 2 : Breaking the middle term :-

$\implies 2x^2 + 3x+4x +6=0$

Step 3: Take out common from terms :-

$\implies x(2x + 3) +2(2x +3)=0$

$\implies ( x +2)(2x+3)=0$

Step 4 : Equate them with 0 :-

$\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}$

Hence the correct options are C and D .

5 0

2 years ago