How do you write
25/4
as a percentage?

Answer:

Any polynomial of the form f(x)=rx²+(1-4r)x+(3r+6) passes through these points.

Step-by-step explanation:

Let f(x)=rx²+bx+c be a polynomial that passes through (1,7) and (3,9). This means that f(1)=7 and f(3)=9, that is,

f(1)=r(1)²+b(1)+c=r+b+c=7, and

f(3)=r(3)²+b(3)+c=9r+3b+c=9

We have the equations r+b+c=7 and 9r+3b+c=9. Substract the second equation minus 9 times the first to obtain -6b-8c=-54, then 6b+8c=54 or equivalently b=9-4c/3.

Substract the second equation minus 3 times the first to obtain 6r-2c=-12. Then 2c=6r+12, thus c=3r+6. We have written c in terms of r. Substitute in b=9-4c/3 to obtain b=9-4(r+2)=-4r+1. The polynomial acquires the form

f(x)=rx²+(1-4r)x+(3r+6).

Answer:

Length of a room is 10ft

Step-by-step explanation:

Given

Required

Determine the length of each room

Here, we'll assume that the carpet will cover each room completely.

If so:

Take square root of both sides

Take positive square root

Hence, the length of a room is 10ft

Given initial savings are 15,000 dollars.

It says to place one-third in an account with 4.6% APR compounded annually. So we invest $5,000 in this account.

Amount after 3 years = 15000(1+0.046)³ = 17,166.68 dollars.

Remaining Balance = 15,000 - 5,000 = 10,000 dollars.

It says to place one-quarter of the remaining balance into 3-year bond with 5.2% APR compounded annually. So we invest $2,500 in this bond.

Bond's value after 3 years = 2500(1+0.052)³ = 2,910.63 dollars.

Remaining Balance = 10,000 - 2,500 = 7,500 dollars.

It says to invest rest in a stock that increases in value 3% the first year; decrease 8% in value the second year; and increases 6% in value in the third year.

Stock's value after 3 years = 7500×(103%)×(92%)×(106%) = 7500 x 1.03 x 0.92 x 1.06 = 7,533.42 dollars.

Total amount after 3 years = Saving Account + Bond value + Stock value = 17,166.68 + 2,910.63 + 7,533.42 = 27,610.73 dollars.

Total Gain in the original savings = 27,610.73 - 15,000 = 12,610.73 dollars

Answer:B

Step-by-step explanation:

All other equations solve for Y

Answer:

y = 3x + 3

Step-by-step explanation:

y = mx + b

m = slope

m = y2-y1/x2-x1 = 9-6/2-1 = 3/1 = 3

m = 3

b = y-intercept

b = 3

Answer:

The answer would be y = 3x + 3.

Step-by-step explanation:

Using the concept of binomial probability, the distribution of X which is the number of winning is ;

• X ______ 0 ____1 _____ 2___ 3______ 4

• P(X):_0.0767_0.2762_0.3729_0.2238_0.0503

Given the parmaters :

• Total Number of slots = 38
• Number of reds = 18

The probability of winning,p on a single play :

• p = (red slots / total slots) = 18/38 = 9/19

Number of plays = 4

Number of winnings = X

Using the binomial probability relation :

• P(x = x) = nCx * p^x * q^(n-x)
• q = 1 - 9/19 = 10/19
• n = 4

ForX=0:

P(x = 0) = 4C0 × (9/19)^0 × (10/19)⁴ = 0.0767

ForX=1:

P(x = 0) = 4C1 × (9/19)¹ × (10/19)³ = 0.2762

ForX=2:

P(x = 2) = 4C2 × (9/19)² × (10/19)² = 0.3729

ForX=3:

P(x = 3) = 4C3 × (9/19)³ × (10/19)¹ = 0.2238

For X = 4 :

P(x = 4) = 4C4 × (9/19)⁴ × (10/19)^0 = 0.0503

Therefore, the distribution of X in the roulette spin is :

X ____ 0 ____ 1 _____ 2 ______ 3 ______ 4

P(X):_0.0767_0.2762_0.3729_0.2238 _0.0503

Learn more :brainly.com/question/12474772