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pychu [463]
3 years ago
5

What is the value of x in the equation 2x+3y=36 when y=6

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0
2x+3y=36
2x=36-3y
y=6
2x=36-3*6
2x=36-18
2x=18
x=18:2
x=9
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24% of U.S. adults say they are more likely to make purchases during a sales tax holiday. you randomly select 10 adults. find th
neonofarm [45]

Answer:

a) p(X= 2) = 0.261

b) P(x>2) = 0.566

c) P(2<x<5)  = 0.334

Step-by-step explanation:

Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday

Probability 0f U.S. adults say they are more likely to make purchases during a sales tax holiday (p) = 0.24

                            n = 10

By using Poisson distribution

mean number of make purchases during a sales tax holiday

λ = np = 10 X 0.24 = 2.4

a)

The probability of getting exactly '2'

The probability p(X= 2) = e^{-\alpha } \frac{\alpha^r }{r! }

p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }

p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }= 0.261

b) The probability of getting more than '2'

P(X>2) = 1- {p(x=0)+p(x=1)+p(x=2)}

                = e^{-2.4 } \frac{(2.4)\^0 }{0! }+ e^{-2.4 } \frac{(2.4)\^1 }{1!}+e^{-2.4 } \frac{(2.4)\^2 }{2!}

              = 0.090 + 0.2177+0.261 = 0.566

P(x>2) = 0.566

c) The probability of getting between  two and five

P( 2<x<5) = P(x=3)+p(x=4) == e^{-2.4 } \frac{(2.4)\^3 }{3! }+ e^{-2.4 } \frac{(2.4)\^4 }{4!}+

P(2<x<5) = 0.2090 + 0.125 = 0.334

4 0
3 years ago
What is the equation of the line that passes through (1, 3) and (-2,-3)?
Fofino [41]
Y=2x+1 is the equation.
3 0
3 years ago
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If f(x)=x+8 and g(x)=-4x-3 find (f+g)(x)
nydimaria [60]

Answer:

for this case we have the following functions:

f (x) = x + 8

g (x) = -4x - 3

Subtracting the functions we have:

(f - g) (x) = f (x) - g (x)

(f - g) (x) = (x + 8) - (-4x - 3)

Rewriting:

(f - g) (x) = x + 8 + 4x + 3

(f - g) (x) = 5x + 11

Answer:

D. (f - g) (x) = 5x + 11

7 0
3 years ago
FIRST TO ANSWER GETS BRALYIST<br> good luck :-)
Ratling [72]

Answer:

My answer is 20ft I'm not really sure but hope this helps

7 0
3 years ago
What is the simplified sum of 3x/x-4 + x-3/2x
zubka84 [21]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>-1 - 1/2x</em>

▹ Step-by-Step Explanation

3x ÷ x - 4 + x - 3 ÷ 2x

Divide and Rewrite:

3 * 1 - 4 + x - 3 ÷ 2 * x

Calculate:

3 - 4 + x - 3/2x

-1 + x - 3/2x

= -1 - 1/2x

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

4 0
3 years ago
Read 2 more answers
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