Answer:
The equation is y = 4x + 5
Step-by-step explanation:
To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).
m(slope) = (y2 - y1)/(x2 - x1)
m = (37 - 21)(8 - 4)
m = 16/4
m = 4
Now we can use that slope along with any point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 21 = 4(x - 4)
y - 21 = 4x - 16
y = 4x + 5
Answer:
(E) 0.83
Step-by-step explanation:
We will solve it using conditional probability.
Let A be the event that a TV show is successful.
P(A) = 0.5
A' be event that the show is unsuccessful
P(A') =0.5
Let B be the event that the response was favorable
P(B) = 0.6
Let B' be the event that the response was unfavorable/
P(B') = 0.4
P(A∩B) = 0.5 and P(A∩B') = 0.3
We need to find new show will be successful if it receives a favorable response.
P(A/B) = 
= 0.5/0.6
= 0.833
Answer:
43
Step-by-step explanation:
g(x)=4x+3
plug in 10
g(10)= 4(10)+3
= 40+3
= 43
The probability of rolling an odd number or a number less than 5 is 5/6.
Probability is the likelihood of the occurrence of an event. It is the ratio of number of events to number of possible outcomes.
The possible outcome from rolling a six-sided die is 1, 2, 3, 4, 5 and 6
P(odd number) = 3/6; P(less than 5) = 4/6; P(odd number and less than 5) = 2/6
Hence:
P(odd number or less than 5) = 3/6 + 4/6 - 2/6 = 5/6
The probability of rolling an odd number or a number less than 5 is 5/6.
Answer:
47
Step-by-step explanation:
The probability for tails to land is 1/2 when you flip 1 coin.
When you flip 94 times, 1/2 × 94
= 47
