A bag has 4 red marbles, 12 blue marbles and 6 yellow marbles. What is the probability of picking a yellow marble, replacing it, and then picking a blue marble?a) 1/18
b) 18/121
c) 15/22
d) 22/131

Answers

Answer 1

Answer: Probability of picking a yellow marble = no of yellow marbles/total number of mables = 6/(4 + 12 + 6) = 6/22 = 3/11
Probability of picking a blue marble = 12/22 = 6/11

Probability of picking a yellow marble and a blue marble = 3/11 x 6/11 = 18/121

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Answers

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Given: 3x < -6. Choose the solution set.

{x | x < -2}
{x | x > -2}
{x | x < 2}
{x | x > 2}

Answers

$3x\ \textless \ -6 :$

Divide both sides by 3 :

$(3x)/(3) = (-6)/(3)$

$x\ \textless \ -2$

Answer A

{x | x < -2}

hope this helps!

A six-sided die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. In the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, 5 times, and 7 times. The experimental probability of rolling a 3 is %, which is approximately % more than its theoretical probability. (Round off your answers to the nearest integer.)

Answers

Out of 80 rolls, the number three has come up 6+6+5+7=24 times. As a result, we can estimate the probability as 24/80=3/10, or 30%. The probability of rolling a three on a standard die is 16.7%, so the difference is 30%-16.7%=13.3%, or approximately 13%.

Answer:

The experimental probability of rolling a 3 is 30%, which is approximately 13% more than its theoretical probability.

The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds.Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)

Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

Answers

Given:
h(t) = -16t² + 90t + 50
g(t) = 28 + 48.8t

h(1) = -16(1²) + 90(1) + 50 = 124
h(2) = -16(2²) + 90(2) + 50 = -64 + 180 + 50 = 166
h(3) = -16(3²) + 90(3) + 50 = -144 + 270 + 50 = 176
h(4) = -16(4²) + 90(4) + 50 = -256 + 360 + 50 = 154

g(1) = 28 + 48.8(1) = 76.80
g(2) = 28 + 48.8(2) = 125.60
g(3) = 28 + 48.8(3) = 174.40
g(4) = 28 + 48.8(4) = 223.20

Between 3 seconds is the answer... though it is not exactly equal but they are nearer in value compared to other number of seconds.

Use X and Y to create a function and describe how its a function.

Answers

y=mx+b
f(x)=3x+4

This is a function because it shows that the y value is equivalent to 3 times the x value plus 4. the 4 is used to represent the y intercept, which is were the function's line intercepts the y axis (it intercepts at 4 units). For ever value of x, f(x) is four more than three times x.

Somebody please help ASAP!!!!