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2 years ago

8

The formula c = 5p + 210 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to

1 answer:

Lesechka [4]2 years ago

5 0

It would be 31 because if they are willing to spend 365 on the party then you’d replace the c with 365 and then subtract 210 from 365 and then divide 5 to get the variable by itself

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For the given polynomials find the sum of the squares of the roots. P(x)=x^3-x^2-18x+k

slega [8]

$\text{Given that,}\\\\P(x) = x^3 -x^2 -18x+k\\\\\text{If the roots are}~ \alpha, ~ \beta,~\text{and}~ \gamma, ~ \text{then},\\\\\alpha +\beta+\gamma= -\dfrac{(-1)}1 = 1\\\\\alpha \beta +\beta \gamma + \gamma \alpha= -\dfrac{18}1 = -18\\ \\\text{Now, sum of the squares of the roots,}\\\\\alpha^2 + \beta^2 + \gamma^2 = ( \alpha + \beta + \gamma)^2 -2(\alpha \beta + \gamma \beta + \gamma \alpha)\\ \\~~~~~~~~~~~~~~~~~~=1^2 - 2(-18)\\\\~~~~~~~~~~~~~~~~~~=1+36\\\\~~~~~~~~~~~~~~~~~~=37$

6 0

1 year ago

Below is a probability distribution for the number of failures in an elementary statistics course. X 0 1 2 3 4 P(X=x) 0.41 0.18

faust18 [17]

Answer:

a) P(X=2)= 0.29

b) P(X<2)= 0.59

c) P(X≤2)= 0.88

d) P(X>2)= 0.12

e) P(X=1 or X=4)= 0.24

f) P(1≤X≤4)= 0.59

Step-by-step explanation:

a) P(X=2)= 1 - P(X=0) - P(X=1) - P(X=3) - P(X=4)= 1-0.41-0.18-0.06-0.06= 0.29

b) P(X<2)= P(X=0) + P(X=1)= 0.41 + 0.18 = 0.59

c) P(X≤2)= P(X=0) + P(X=1) + P(X=2)=0.41+0.18+0.29= 0.88

d) P(X>2)=P(X=3) + P(X=4)=0.06+0.06= 0.12

e) P(X=1 or X=4)=P(X=1 ∪ X=4) = P(X=1) + P(X=4)=0.18+0.06= 0.24

f) P(1≤X≤4)=P(X=1) + P(X=2) + P(X=3) + P(X=4)=0.18+0.29+0.06+0.06= 0.59

3 0

3 years ago

Read 2 more answers

Which is smaller -5 or -17

inessss [21]

-5 because it is closest to zero and -17 is farther than zero on a number line :) <span />

8 0

2 years ago

Read 2 more answers

Y=7x-3. y=-7x+3<br><br> What type of solution is this?

aivan3 [116]

One solution: (3/7, 0)

6 0

2 years ago

BRAINLIEST AND POINTS!!!<br><br> PLEASE EXPLAIN

timofeeve [1]

Answer:

Option C. $\$23,134.61$

Step-by-step explanation:

we know that

$A=\frac{P[(1+r)^{n} -1]}{r(1+r)^{n}}$

we have

$P=\$400$

$r=0.075/12=0.00625$

$n=6*12=72\ months$

substitute in the formula

$A=\frac{400[(1+0.00625)^{72} -1]}{0.00625(1+0.00625)^{72}}\\ \\A=\frac{226.446972}{0.009788}\\ \\A=\$23,134.61$

4 0

2 years ago