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2 years ago

Free Response - calculator may be used. Please help 50 points and brainliest

Mathematics

2 answers:

Naily [24]2 years ago

5 0

Answer:

the answer would most likely be A

Step-by-step explanation:

Ann [662]2 years ago

3 0

Answer:

None of the expressions are equivalent, but there may be a typo. I that is the case, the first answer is most likely correct(it should be 3x²+x-4).

Step-by-step explanation:

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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

What is the center and radius of a circle whose equation is x2 + y2 -2x -6y -5 = 0?

ddd [48]

x²+y²-2x-6y-5=0

x²-2x+y²-6y=5

x²-2x+1+y²-6y+9=5+1+9

(x-1)²+(y-3)²=15

(x-1)²+(y-3)²=(V15)²

-> centre of the circle: C(-1,-3)

-> radius of the circle: V15

4 0

2 years ago

Help me plz help me

alukav5142 [94]

Answer:

1=3 given

1=2 vertical angles

3=4 vertical angles

2=4 transitive property (?)

Step-by-step explanation:

it's been a while since i've done proofs but i think this is right

4 0

2 years ago

A graphic designer creates an image for a t-shirt that measures 8 inches tall and 10 inches wide. She can use this image for sma

jeka57 [31]

1.125 times 8=9
1.125times10=11.25

1.125=112.5%

So she will have to enlarge the logo for the large shirt by 12.5%

8 0

2 years ago

What is half of 18 !!!

skelet666 [1.2K]

Answer:

Step-by-step explanation:

5 0

3 years ago