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Zolol [24]
3 years ago
13

Of 450 college students, 110 are enrolled in math, 205 are enrolled in English, and 50 are enrolled in both. If a student is sel

ected at random, find the probability of the following. (See Example 5. Round your answers to three decimal places.) (a) The student is enrolled in mathematics. (b) The student is enrolled in English. (c) The student is enrolled in both. (d) The student is enrolled in mathematics or English. (e) The student is enrolled in English but not in mathematics. (f) The student is not enrolled in English or is enrolled in mathematics.
Mathematics
1 answer:
likoan [24]3 years ago
8 0

Answer:

Step-by-step explanation:

Given that Of 450 college students, 110 are enrolled in math, 205 are enrolled in English, and 50 are enrolled in both. If a student is selected at random

the probability

(a) The student is enrolled in mathematics=\frac{110}{450} =0.244\\

(b) The student is enrolled in English.=\frac{205}{450} =0.456\\

(c) The student is enrolled in both.=\frac{50}{450} =0.111\\

(d) The student is enrolled in mathematics or English.=\frac{110+205-50}{450} =0.589\\

(e) The student is enrolled in English but not in mathematics.

=\frac{205-50}{450} =0.344\\

(f) The student is not enrolled in English or is enrolled in mathematics.

=\frac{450-205+110}{450} =0.7889\\

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Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!
babymother [125]

Answer:

x=15 and y=49

Step-by-step explanation:

y+16=5x-10

and (y+16) + (8x-5)=180

so y=5x-26 and then

plug in for y so 5x-26+16+8x-5=180

that means x=15

plug in for x

y+16= 5(15)-10

that means y=49

thanks for the brainliest!

5 0
3 years ago
Una persona camina 7 kilómetros hacia el norte, después 3 kilómetros hacia el este y, luego, 3 kilómetros hacia el sur. ¿A qué d
qaws [65]

Answer:

La persona está a 5 kilómetros con respecto al punto de partida.

Step-by-step explanation:

Considérese que la dirección norte coincide con el semieje +y y que la dirección este coincide con el semieje +x. A continuación, obtenemos las formas vectoriales equivalentes de cada afirmación:

(i) Una persona camina 7 kilómetros hacia el norte:

\vec r_{1} = 7\,\hat{j}\,[km]

(ii) Después 3 kilómetros hacia el este:

\vec r_{2} = 3\,\hat{i}\,[km]

(iii) Y luego, 3 kilómetros hacia el sur:

\vec r_{3} = -3\,\hat{j}\,[km]

El vector resultante de desplazamiento se construye a partir de la siguiente suma de vectores:

\vec R = \vec r_{1}+\vec r_{2} + \vec r_{3} (1)

\vec R = 3\,\hat{i} + 4\,\hat{j}\,[km]

Asumiendo que la distancia coincide con el desplazamiento resultante, calculamos la distancia con respecto al punto de partida mediante el Teorema de Pitágoras:

\|\vec R\| = \sqrt{3^{2}+4^{2}}

\|\vec R\| = 5\,km

La persona está a 5 kilómetros con respecto al punto de partida.

3 0
3 years ago
Given: 5x + 3 > 4x + 7. Choose the graph of the solution set.
riadik2000 [5.3K]
Let's solve your inequality step-by-step.

<span><span><span>5x</span>+3</span>><span><span>4x</span>+7

</span></span>Step 1: Subtract 4x from both sides.

<span><span><span><span>5x</span>+3</span>−<span>4x</span></span>><span><span><span>4x</span>+7</span>−<span>4x

</span></span></span><span><span>x+3</span>>7

</span>Step 2: Subtract 3 from both sides.

<span><span><span>x+3</span>−3</span>><span>7−3

</span></span><span>x>4

</span>Answer:

<span>x><span>4</span></span>
4 0
3 years ago
Read 2 more answers
Lee spent $36 to purchase a combination of drinks, sandwiches, and chips for himself and his friends. A drink costs $2, a sandwi
valkas [14]

2x+4y+0.50z=36 represents the situation.

Step-by-step explanation:

Let,

Drinks = x

Sandwich = y

And,

Chips = z

Total amount on these items = $36

According to the statement;

x(cost\ of\ one\ drink)+y(cost\ of\ one\ sandwich)+z(cost\ of\ one\ chips)=\ Total\ amount\ spent\\2x+4y+0.50z=36

2x+4y+0.50z=36 represents the situation.

Keywords: Linear equations

Learn more about linear equations at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

7 0
3 years ago
Loris makes 20 bracelets in 50 minutes. Doris makes 44 bracelets in 2 hours. who makes more bracelets per hour. how many more?
Sedaia [141]
To do this, you'll have to get loris and doris to the same amount of time, we can already tell loris makes 40 bracelets in 100 minutes but we are still missing 20 minutes, so we got to do some math(Ofc we do its mathematics) if you divide 50 by 20 you'll get 2.5 which is how many minutes it takes to make a bracelet. So now we can go back to that missing 20 minutes, if you divide 20 by 2.5, you'll get 8. So in 2 hours loris makes 48 bracelets(20 + 20(50 hours each)=40 + 8(the missing 20 minutes) = 48) But here is the tricky part it says per an hour, so we need to reduce both by half, so loris makes 24 bracelets an hour and doris makes 22 bracelets an hour so loris makes 2 more bracelets and hour than doris... hope i've helped!
3 0
3 years ago
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