What is the solution to the system of equations? y = –3x + 6 y = 9

Answer:

Surface area is =548

Volume = 840 in³

Step-by-step explanation:

l × w, l × w, w × h, w × h, l × h, l × h

70 + 70 + 84 + 84 + 120 + 120 = 548

l × w × h = 840

Answer:

It should be 1/10

Step-by-step explanation:

3*1 is 3

5*6 is 30

simplify and get 1/10

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

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Answer:

The probability is 0.02275

Step-by-step explanation:

We shall first find the z-score here

z-score = (x -mean)/SD

from the question;

x = 4,000

mean = 3,000

SD = 500

z-score = (4,000-3,000)/500 = 1000/500 = 2

So the probability we want to calculate is;

P(z > 2) = 0.02275

Answer:

9:4 4:13

Step-by-step explanation:

Answer:

a) 9:4  b) 13 : 9

Step-by-step explanation:

13 = total

4 = green

13-4   ( which Is 9) = red

Ratio of red apples to green apples?

9:4

RATIO of all apples to red

13: 9