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Rom4ik [11]
1 year ago
12

Below, the two-way table is given for a class

Mathematics
1 answer:
Nataliya [291]1 year ago
8 0

Answer:

2/7 = 29% (nearest percent)

Step-by-step explanation:

Calculate the totals and add them to the table:

\begin{array}{| c | c | c | c | c | c |}\cline{1-6} & \sf Freshman & \sf Sophmore & \sf Juniors & \sf Seniors & \sf Total \\\cline{1-6} \sf Male & 4 & 6 & 2 & 2 & 14\\\cline{1-6} \sf Female & 3 & 4 & 6 & 3 & 16\\\cline{1-6} \sf Total & 7 & 10 & 8 & 5 & 30\\\cline{1-6}\end{array}

<u>Probability Formula</u>

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

Let P(A) = probability that the student is a freshman

Let P(B) = probability that the student is male

Use the given table to calculate the probability that the <u>student is male</u>:

\sf \implies P(B)=\dfrac{14}{30}

And the probability that the <u>student is a freshman </u><u>and </u><u>male:</u>

\implies \sf P(A \cap B)=\dfrac{4}{30}

To find the probability that the student owns a credit card given that the they are a freshman, use the conditional probability formula:

<u>Conditional Probability Formula</u>

The probability of A given B is:

\sf P(A|B)=\dfrac{P(A \cap B)}{P(B)}

Substitute the found values into the formula:

\implies \sf P(Freshman|Male)=\dfrac{\dfrac{4}{30}}{\dfrac{14}{30}}=\dfrac{4}{14}=\dfrac{2}{7}=0.28571...=29\%

Therefore, the probability that the student is a freshman given they are male is 29% (nearest percent).

Learn more about conditional probability here:

brainly.com/question/28028208

brainly.com/question/23957743

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Omg please help if you can giving extra points
solniwko [45]
<h3>Answer: 285, choice A</h3>

=================================================

Explanation:

x = number of attendees

y = cost

If you increase the number of attendees (x) by 15, then the cost (y) goes up by 105. We see this by subtracting the values

30 - 15 = 15

495 - 390 = 105

Divide the change in cost over the change in people. So we have 105/15 = 7

The 7 represents the unit rate, which is the amount of money it costs for one person. Each time we add a person, it costs $7. So we can say "it costs 7 dollars per person"

At 7 dollars per person, 15 people will be charged 15*7 = 105. However, the table shows $390 is the actual cost. So 390 - 105 = 285 is the base cost

Or you can use the second column. If we had 30 people, then 7*30 = 210 is the cost without the base cost added on. The table shows 495, so 495-210 = 285 which is the same answer as before.

-------------------------------------

Alternative method

This method involves more equations and algebra

First use the slope formula. You can use any two points from the table. I'm going to use (15, 390) and (30, 495)

m = slope

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

m = (495-390)/(30-15)

m = (105)/(15)

m = 7 <<--- this is the unit rate, aka cost per person

Use the slope and one of the points to find the y intercept

y = mx+b

y = 7x+b

390 = 7(15)+b

390 = 105+b

105+b = 390

b = 390-105

b = 285 <<-- this is the y intercept, aka base cost

The base cost is the price you pay to get in the door. This cost stays the same no matter how many people are in your party. The equation would be y = 7x+285. Note how plugging in x = 15 leads to y = 390. At the same time, plugging in x = 30 leads to y = 495.



6 0
3 years ago
a taxi service charges $2.40 for the first mile of a ride and $1.40 for every additional mile. linda planned to give a $2 tip fo
viktelen [127]

Answer:

5

Step-by-step explanation:

first subtract 2 from 10 (10 - 2 = 8)

8 - 2.40 (the first mile) = 5.6

5.6 divided by 1.40 (every additional mile) = 5

4 0
2 years ago
F(c)= 9/5c+ 32 I just don't understand how to find the inverse of the function
Viefleur [7K]
F = 9/5 C + 32
- 32 -32

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The answer is 5/9F-32 = C
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3 years ago
Write the linear equation (y = mx +b) for the following graph:
Wewaii [24]

Answer:

y=2/1x +5

Step-by-step explanation:

m represents the slope of the line on the graph, m would be 2/1.

b represents the point on the y axis the line interects at, b would be 5.

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2 years ago
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The area of a circle is given by πr2, where r is the radius of the circle. If we use rounding to the nearest whole number, what
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Answer:

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Step-by-step explanation:

Check attachment

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