A history class is comprised of 10 female and 8 male students. If the instructor of the class randomly chooses 14 students from the class for an oral exam, what is the probability that 8 female students and 6 male students will be selected? Round your answer to 3 decimal places.

#a

Square root of k is a factor of the number k that when it is multiplied with itself yields the result as k

#b

Cube root of k is a factor of the number k that when it is multiplied thrice with itself yields the result as k

#c

n th root of k is a factor of the number k that when it is multiplied n times with itself yields the result as k

#d

There are 3 cards and only 1 card is off.

If you pick the odd card first and do not replace it there is no chance of picking a second odd card.

The probability would be 0

Take two points

Slope

Equation in point slope form

Answer:

[tex]y=-\dfrac{300}{7}x+1000[/tex]

Step-by-step explanation:

Method 1  (see attachment 1 with red line)

Plots the points on a graph and draw a line of best fit, remembering to ensure the same number of points are above and below the line.

Use the two end-points of the line of best fit to find the slope:

[tex]\textsf{let}\:(x_1,y_1)=(0,1000)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(7,700)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{700-1000}{7-0}=-\dfrac{300}{7}[/tex]

Input the found slope and point (0, 1000) into point-slope form of a linear equation to determine the equation of the line of best fit:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-1000=-\dfrac{300}{7}(x-0)[/tex]

[tex]\implies y=-\dfrac{300}{7}x+1000[/tex]

Method 2  (see attachment 2 with blue line)

If you aren't able to plot the points, you should be able to see that the general trend is that as x increases, y decreases.  Therefore, take the first and last points in the table and use these to find the slope:

[tex]\textsf{let}\:(x_1,y_1)=(1,940)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(7,710)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{710-940}{7-1}=-\dfrac{115}{3}[/tex]

Input the found slope and point (1, 940) into point-slope form of a linear equation to determine the equation of the line of best fit:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-940=-\dfrac{115}{3}(x-1)[/tex]

[tex]\implies y=-\dfrac{115}{3}x+\dfrac{2935}{3}[/tex]

The value of the P(2 < X ≤ 4) is 0.14 if the probability of P(x =3) is 0.10 and P(x = 4) is 0.04.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have a probability distribution shown in the table:

P(2 < X ≤ 4)

We have to find the probability between 2 and 4

P(2 < X ≤ 4) = P(x =3) + P(x = 4)

From the table

P(x =3) = 0.10

P(x = 4) = 0.04

P(2 < X ≤ 4) = 0.10 + 0.04 = 0.14

Thus, the value of the P(2 < X ≤ 4) is 0.14 if the probability of P(x =3) is 0.10 and P(x = 4) is 0.04.

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Using translation concepts, y-coordinates greater than 38 identify a location north of the city.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Considering latitude and longitude, the coordinates of a city are given as follows:

(LON, LAT).

Hence, the given city has coordinates given by:

(25, 38)

As we move north, the latitude increases, hence, y-coordinates greater than 38 identify a location north of the city.

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Answer:

1/36 and 1/28

Step-by-step explanation:

i believe this is the answer as you should divide the denomonator by the answer as you cannot divide the numerator.

Answer:

y=4/-2x+4

Step-by-step explanation:

Formula (y=mx+b)

m= 4/-2 (rise over run)

b= 4 (y-axis intercept point)

y=mx+b

y=4/-2x+4

Answer:

90 seats are in row 19

Step-by-step explanation:

The pattern is adding 4 seats so 3 x 19 is 57 so 33 + 57 is 90 seats

Hope this helps

Answer:

t = 36

Step-by-step explanation:

given that m varies directly with t then the equation relating them is

m = kt ← k is the constant of variation

to find k use the condition m = 4 when t = 12 , then

4 = 12k ( divide both sides by 12 )

[tex]\frac{4}{12}[/tex] = k , that is

k = [tex]\frac{1}{3}[/tex]

m = [tex]\frac{1}{3}[/tex] t ← equation of variation

when m = 12 , then

12 = [tex]\frac{1}{3}[/tex] t ( multiply both sides by 3 to clear the fraction )

36 = t

2y + 3 + 5x + 6

2y + 5x + 9 = 0

hope it helps...!!!

Answer:

6^3+4 equals 220.

Step-by-step explanation:

6^3 equals 216.

Plus 4 equals 220.

Answer:

Step-by-step explanation:

6004

6 to the third power is 6000 and 6000+4 is 6004

Answer:

70:101     70 is 69% of 101

Step-by-step explanation:

Since he had 30 phones and bought 70, he totals with 101 phones. Since 70/101 is 69, 70 is 69% of 101

Answer:

It's the fourth answer, D.

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

x= 0.1111...

10x = 1.11111111

10x - x = 1

9x = 1

x = [tex]\frac{1}{9}[/tex]

Answer:

4 cm

Step-by-step explanation:

The area is found by the length times width. You already know that the area is 28 and the width is 7. All you have to do is divided 28 by 7 to get 4.

Answer:

4 cm

Step-by-step explanation:

28=7*W

W=28/7

W=4 inches

Answer:

ABC is not a right angled triangle.

Step-by-step explanation:

Step 1: Given the perimeter of ΔABC = 22 cm, sides AB = 8 cm and BC = 5 cm. Find the side AC.

Perimeter = AB + BC + AC

⇒ AC = 22 - (8 + 5) = 22 - 13 = 9 cm

Step 2: Find whether the triangle is right angled using Pythagoras Theorem which is Hypotenuse² = Side² + Base²

AC² = AB² + BC²

⇒ AC² = 9² = 81

⇒ AB² + BC² = 8² + 5² = 64 + 25 = 89

∴ AC² ≠ AB² + BC²

⇒ ΔABC is not a right angled triangle.

Answer:

Step-by-step explanation:

f(5) = 2^8 - 5 +3

f(5) = 256-5+3

f(5) = 254

Answer:

Equation:

f(x) = (x + 3)^2

Graph: see image

Step-by-step explanation:

Translation just means shift or slide. To show a LEFT shift in the equation, go in close to the x, inside the parenthesis with the x, for LEFT shift, insert +3.

Left and right shifts might be the opposite of what you may think. Minus a number shifts right and plus a number shifts left.

For the graph, see image. The answer is the green curve.

Answer:

To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x. The point will be (x, 0).

Step-by-step explanation:

Answer:

Mean=49 pounds

Median=11pounds

Step-by-step explanation:

If all the cats got weighted (5, 11,11,12,10) for each cat you need to add, multiply and divide to get all the answers (P.S. you don't need to round for your answers!)

For solving the Mean you need to add up all the numbers and then divide by how many numbers there are (5+11+11+12+10÷ 5=49)

For solving the Median you need to put the numbers in smallest to biggest order to solve for this (5,10,11,11,12) and then kept crossing them out (left to right) until you get the two middle numbers (11,11) then add them both right and then divide 22 by 2 then you have your answer!

You're going to rock this:)

Kenz

Answer:

[tex] \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\sf { \rightarrow \: \red{i \: dont \: know \: anymore\:\color{green}☘}}\end{array}}\end{gathered} \end{gathered}[/tex]

[tex] \color {blue} \rule {1pt} {100000pt} [/tex]

Answer:

3 units

Step-by-step explanation:

The midpoint of P and Q is -2, the midpoint of R and S is 1, the total distance between -2 and 1 is three

|-2| + |1| = 3

Answer:

C

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 4² = 9²

x² + 16 = 81 ( subtract 16 from both sides )

x² = 65 ( take square root of both sides )

x = [tex]\sqrt{65}[/tex]

The students council sold 20 bracelets and 10 necklesses.

The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic,

here the number of the bracelets sold will be

[tex]N_{B}=\dfrac{50}{2.5}=20[/tex]

Number of the necklesses sold will be

[tex]N_{N}=\dfrac{50}{5}=10[/tex]

Hence the students council sold 20 bracelets and 10 necklesses.

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Answer:

express 33362imstandard form