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2 years ago

In a small private school three students are randomly selected from 18 available students what is the probability that

Mathematics

1 answer:

Komok [63]2 years ago

3 0

1/ 816

Step-by-step explanation:

Step 1 :

Given

Total number of students in the school = 18

Number of students randomly selected = 3

Step 2 :

Number of ways in which 3 students can be selected out of 18 students is

C(18,3) = 18! /(3!(*18-3)!) = 18*17*16/3*2*1 = 816

Number of ways in which 3 students are selected and they are the youngest = 1

Hence the probability of selecting 3 youngest students from the available students is 1/ C(18,3) = 1/ 816

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The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr

malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

$A = \frac {b * h} {2}$

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the statement data we have:

$b = 6 + 2h$

Substituting we have:

$88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0$

We divide between 2 on both sides:

$h ^ 2 + 3h-88 = 0$

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

$(h + 11) (h-8) = 0$

We have two roots:

$h = -11\\h = 8$

We choose the positive value.

Thus, the base of the triangle is: $b = 6 + 2 (8) = 22$

Answer:

The base of the triangle is 22 units.

5 0

2 years ago

Read 2 more answers

When the chef turned the new freezer on, the temperature on the internal thermometer was 2 c .

Elan Coil [88]

-13 c I think. It is this way because if it went down 15, then you subtract 2-15. 2-2 = 0, and then 0-13= -13 c. Hope this helps

8 0

2 years ago

Rectangle ABCD with coordinates A(1,1), B(4,1), C(4,2) and D(1,2) dilates with respect to the origin to give rectangle A’B’C’D’.

Delvig [45]

Answer: Option C.

Step-by-step explanation:

You need to find the distance AB with the formula for calculate the distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:

$AB=\sqrt{(4-1)^2+(1-1)^2}=3$

You know that A'B'=6, then the scale factor of dilation can be calculated with:

$k=\frac{A'B'}{AB}$

Substituting values, you get:

$k=\frac{6}{3}\\\\k=2$

This matches with the option C.

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2 years ago

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One factor of the polynomial 2x^3 - 3x^2 - 3x + 2 is ( x - 2 ). Which expression represents the other factor, or factors, of the

Georgia [21]

Answer:

Option (D)

Step-by-step explanation:

Given polynomial is,

2x³ - 3x² - 3x + 2

If (x - 2) is the factor of the given polynomial,

By synthetic division we can get the other factor.

2 | 2 -3 -3 2

2 1 -1 0

Therefore, other factor of the given polynomial is (2x² + x - 1)

Now (2x² + x - 1) = 2x² + 2x - x - 1

= 2x(x + 1) -1(x + 1)

= (2x - 1)(x + 1)

Therefore, factors of the given polynomial other than (x - 2) are (2x - 1) and (x + 1)

Option (D) will be the answer.

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2 years ago

The 200 students in a school band will attend awards dinner. A random survey of 25 of these students was conducted to determine

fenix001 [56]

Step-by-step explanation:

Beef = 12 * 8 (cause 25 * 8 = 200)

Beef = 96

Chicken = 8 * 8 (cause 25 * 8 = 200)

Chicken = 64

Pasta = 5 * 8 (cause 25 * 8 = 200)

Pasta = 40

Answer- C] There are 32 more students who want beef meal more than want a chicken meal

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2 years ago