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brilliants [131]
3 years ago
15

What is P(A or B)...?

Mathematics
2 answers:
miss Akunina [59]3 years ago
5 0
<h2>Answer:</h2>

Option: B is the correct answer.

            B.\ \ \dfrac{7}{10}

<h2>Step-by-step explanation:</h2>

We know that P(A or B) i.e. P(A∪B) is calculated by using the formula:

P(A\bigcup B)=P(A)+P(B)-P(A\bigcap B)

  • Now based on the pie chart we see that the total number of students who were surveyed are: 10
  • The number of students who love to play basketball are: 4

( The students are: Fran, Juan , Ian and Ella )

  • Number of student who love to play soccer are: 5

( The students are: Mickey, Mai, Marcus , Ian and Ella)

  • The number of student who love to play both basketball and soccer i.e. n(A∩B)= 2

( since those students are: Ian and Ella)

Hence, we have:

P(A)=\dfrac{4}{10}\\\\\\P(B)=\dfrac{5}{10}\\\\\\P(A\bigcap B)=\dfrac{2}{10}

Hence, we have:

P(A\bigcup B)=\dfrac{4}{10}+\dfrac{5}{10}-\dfrac{2}{10}\\\\\\i.e.\\\\\\P(A\bigcup B)=\dfrac{4+5-2}{10}\\\\\\i.e.\\\\\\P(A\bigcup B)=\dfrac{7}{10}

melamori03 [73]3 years ago
3 0

the answer is A.) 3/10

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Answer:

<u><em>y = -(2/5)x+4</em></u>

Step-by-step explanation:

The 2 points are 0,4 and 5,2. If you want to find the equation, you need slope. slope = rise/run = -2/5.

y = mx + b. The b is the y intercept, so it's 4.

The equation is <u><em>y = -(2/5)x+4</em></u>

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Points m is the midpoint of FG. Can you determine the value of a?
GenaCL600 [577]

Using the midpoint concept, it is found that the value of a is of a = 2.

<h3>What are the coordinates of the points?</h3>

Researching this problem on a search engine, the coordinates are given as follows:

  • F(b + 1, a + 2).
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  • (2a, 3b+3).

<h3>What is the midpoint concept?</h3>

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence the following system of equations can be built:

(b + 1 + 2a)/2 = 3.

b + 1 + 2a = 6.

b = 5 - 2a.

(a + 2 + 3b + 3)/2 = 5

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a + 3b = 5.

Since b = 5 - 2a, we have that:

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The value of a is of a = 2.

More can be learned about the mid-point concept at brainly.com/question/10956693

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6 0
2 years ago
If x varies inversely as the square of y and if x=3 when y=-1, what is the value of x when y =3
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Answer:

x would be (1/3) when y = 3.

Step-by-step explanation:

The question states that x varies "inversely" as y^2. In other words, there is a non-zero number a (a constant) such that:

\displaystyle x = \frac{a}{y^2}.

The challenging part is to find the value of a in this equation.

Given that x = 3 when y = -1, replace the x in this equation with 3 and y with (-1). This equation should still be valid:

\displaystyle 3 = \frac{a}{(-1)^{2}}.

Solve for a:

a = 3 \times (-1)^2 = 3.

Hence, the relation between x and y becomes:

\displaystyle x = \frac{3}{y^2}.

Find the value of x when y = 3 by replacing the y in this equation with 3.

\displaystyle x = \frac{3}{3^2} = \frac{1}{3}.

In other words, the value of x would be \displaystyle \frac{1}{3} when y = 3.

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To maximize profit, the greatest possible number of the most profitable item should be manufactured. Remaining capacity should be used for the less-profitable item.

Up to 30 of model B, which has the highest profit, can be made each day. The remaining amount (20 sets) of the daily capacity of 50 sets should be used to make model A sets.

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