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emmainna [20.7K]
4 years ago
14

Subtract 8 y^2 − 5 y + 7 from 2 y^2 + 7 y + 1 1 The answer is: −6y ^2 +12y+4

Mathematics
1 answer:
lys-0071 [83]4 years ago
4 0

Answer:

\large\boxed{-6y^2+12y+4}

Step-by-step explanation:

(2y^2+7y+11)-(8y^2-5y+7)\\\\=2y^2+7y+11-8y^2-(-5y)-7\\\\=2y^2+7y+11-8y^2+5y-7\qquad\text{combine like terms}\\\\=(2y^2-8y^2)+(7y+5y)+(11-7)\\\\=-6y^2+12y+4

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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
NEED ANSWER ASAP pls
EleoNora [17]

Answer:

Let F = Fran's income

Let W = Winston's income

Combined income is 80000  ==>  F + W = 80000

One quarter of Winston's income is the same as one-sixth of Fran's income  ==>  

(1/4)*W = (1/6)*F

Multiply the 2nd equation by 12 to clear the fractions  

3*W = 2*F

Solve this equation for F

F = (3/2)*W

Substitute this value for F into the 1st equation

(3/2)*W + W = 80000

(5/2)*W = 80000

W = (2/5)*80000 = 32000

So F = 80000 - 32000 = 48000

So Winston earns 32000 and Fran earns 48000

Check:  One quarter of Winston's income is 32000/4 = 8000

           One sixth of Fran'e income is 48000/6 = 8000

Step-by-step explanation: Hope this helps

4 0
3 years ago
What is the equation of the line that is parallel to y=6x−1 and passes through the point (−3,4)?
BabaBlast [244]

Answer: y = 6x + 22

Step-by-step explanation:

Parallel lines have same slope. So, a line parallel to y = 6x − 1 is y = 6x + c.

Now to find c, put (-3,4) to this equation since the line passes through the point.

4 = 6 × -3 + c

4 = -18 + c

4 + 18 = c

c = 22

So, equation is y = 6x + 22

3 0
3 years ago
Read 2 more answers
What is the sum of 3/5 and 1/10?
Blababa [14]
The sum of 3/5 and 1/10 is 7/10.
6 0
3 years ago
Kind of easy giving alot points to anyone who knows​
kotykmax [81]

Answer:

5 hours

Step-by-step explanation:

6 0
3 years ago
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