A survey of 80 students found that 24 students both play in the band and play a sport. But 22 students are not in band and do not play a sport. There are 48 students in the band. If being in band is the row variable and playing sports is the column variable, fill in the labels in the table. A 4-column table with 3 rows. Column 1 has entries in band, not in band, total. Column 2 is labeled play a sport with entries a, d, g. Column 3 is labeled do not play a sport with entries b, e, h. Column 4 is labeled total with entries c, f, i.

Which of the following correctly represents the given data in the problem?

A: a = 24, g = 48, h = 22, i = 80
B: a = 22, c = 80, d = 24, i = 48
C: a = 24, b = 48, c = 22, i = 48
D: a = 24, c = 48, e = 22, i = 80

Answer:  The correct option is (B) -16.

Step-by-step explanation:  We are given to evaluate the value of the following expression for b = 8 and c = -4 :

To find the value of expression (i), we need to substitute the values of b and c in equation (i).

We will be using the following property of exponents :

Therefore, from equation (i), we get

Thus, option (B) is correct.

HH,HT,TT,TH
As evident from above sample space,the probability of finding exactly one Head 2\4 I.E 1\2
so the answer is B

Option B. is correct.

What is probability?

Possible chances of occurring an event are known as the probability of that event.

Sample space for tossing two coins is :

( {H,H} , {H,T} , {T,T} , {T,H} )

Formula used:

Probability of an event =

Exactly one head appeared 2 times i.e., {H,T} or {T,H}

Thus, Favourable outcomes = 2

Total outcomes = 4

P (Exactly one head) =

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Answer:

To determine whether AB and CD are parallel, perpendicular, or neither, we need to analyze their slopes.

The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the slope formula:

slope = (y2 - y1) / (x2 - x1)

Let's calculate the slopes of AB and CD:

AB:

Point A (8, 4)

Point B (4, 3)

slope of AB = (3 - 4) / (4 - 8) = -1 / -4 = 1/4

CD:

Point C (4, -9)

Point D (2, -1)

slope of CD = (-1 - (-9)) / (2 - 4) = 8 / -2 = -4

Now, let's analyze the slopes:

1. If the slopes of AB and CD are equal, then the lines are parallel.

In this case, the slope of AB is 1/4 and the slope of CD is -4. Since the slopes are different, AB and CD are not parallel.

2. If the product of the slopes is -1, then the lines are perpendicular.

In this case, the product of the slopes of AB and CD is (1/4) * (-4) = -1. Since the product is -1, AB and CD are perpendicular.

Therefore, AB and CD are perpendicular to each other.

In summary, AB and CD are perpendicular lines.

Step-by-step explanation:

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Answer:

f (x) = 3/4 x ^2 + 2x − 5

Step-by-step explanation: