Answer:
1.46943231441048
Step-by-step explanation:
You were on the right track. Here are two ways to go about it.
• By definition of conditional probability,
Pr[A | B] = Pr[A and B] / Pr[B]
Out of the total 100 participants in the survey, there are 18 people that both have a positive attitude and are over 35, so
Pr[positive and over 35] = 18/100
Out of the 100 pariticipants, 40 are over 35, so
Pr[over 35] = 40/100
Then the conditional probability you want is (18/100) / (40/100) = 18/40 = 9/20.
• There are 40 people over 35 in the survey. You want the probability that someone randomly chosen from this group has a positive attitude, of which there are 18. Hence the probability is 18/40 = 9/20.
Answer:
no
Step-by-step explanation:
15 x 12 = 180
Sheila's entertainment center has enough space for a tv with an area of 180 sqaure inches.
196 > 180
so the television will not fit
Answer <u>(assuming it can be in slope-intercept format)</u>:
Step-by-step explanation:
When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or 
.
1) First, find the slope of the equation. Use the slope formula, 
, to find the slope. Substitute the x and y values of the given points into the formula and simplify:
Thus, the slope is 
.
2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation . Substitute 
and 
for real values.
Since represents the slope, substitute in its place in the equation. Since represents the y-intercept, substitute 7 in its place. This gives the following equation and answer:
