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andrew-mc [135]

3 years ago

12

There are 40 students in a course: 15 freshmen, 8 sophomores, 12 juniors, and 5 seniors. One student is selected at random to at

tend a workshop and report back to the class. What is the probability that the chosen student is a junior

1 answer:

Vinil7 [7]3 years ago

8 0

Answer:

The probability that the chosen student is a junior is $\frac{3}{10}$

Step-by-step explanation:

Given,

The total number of students = 40,

In which, freshmen = 15,

Sophomores = 8,

Juniors = 12,

And, seniors = 5,

Thus, the probability that junior student when a student is chosen

$=\frac{\text{Total possible arrangement of 1 junior student }}{\text{Total possible arrangement of 1 student}}$

$=\frac{^{12}C_1}{^{40}C_1}$

$=\frac{12}{40}$

$=\frac{3}{10}$

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Which point is an x-intercept of the quadratic function<br> f(x) = (x – 8)(x + 9)?

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a test for a certain drug has a 0.1% probability of producing a false positive. if a company hired 500 drug-free employees, what

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Probability

In the statistics concept, the probability refers the possible number of way of happening the particular event.

Given,

A test for a certain drug has a 0.1% probability of producing a false positive.

Here we need to find the probability of obtaining at least 1 false positive if a company hired 500 drug-free employees.

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1 year ago

una ventana rectangular tiene l metros de ancho y h metros de altura, con un perímetro de 6 metros y un área de 2m² ¿cuál es la

seropon [69]

Answer:

The formula for calculating the width of the window is

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$

Step-by-step explanation:

<u><em>The question in English is</em></u>

A rectangular window is l meters wide and h meters high, with a perimeter of 6 meters and an area of 2m². What is the formula for calculating the width of the window?

we know that

The perimeter of the window is equal to

$P=2(l+w)$

we have

$P=6\ m$

so

$6=2(l+w)$

simplify

$3=(l+w)$

isolate the variable l

$l=3-w$ ----> equation A

The area of the window is equal to

$A=lw$

we have

$A=2\ m^2$

so

$2=lw$ ----> equation B

substitute equation A in equation B

$2=(3-w)w$

solve for w

$2=3w-w^2$

$w^2-3w+2=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$w^2-3w+2=0$

so

$a=1\\b=-3\\c=2$

substitute in the formula

$w=\frac{-(-3)(+/-)\sqrt{-3^{2}-4(1)(2)}} {2(1)}$ ---> formula for calculating the width of the window

$w=\frac{3(+/-)\sqrt{1}} {2}$

$w=\frac{3(+/-)1} {2}$

$w=\frac{3(+)1} {2}=2\ m$

$w=\frac{3(-)1} {2}=1\ m$

7 0

3 years ago