chad randomly chooses a card from a standard deck 30 times. what is the probability he gets a diamond exactly 4 times

Answer:

dc/a-b-d

Step-by-step explanation:

ax – bx = d

x + c

Multiply both sides by x + c

ax – bx

(x + c) = d(x + c)

x + c

Simplify

ax – bx

(x+c): ax – bx

x + c

ax – bx = d(x+c)

Expand d(x+c): dx + cd

ax — bx = dx + cd

Subtract dx from both sides

ax – bx – dx = dx + cd – dx

Simplify

ax – bx – dx = cd

Factor ax – bx – dx: x(a – b – d)

x(a - b- d) = cd

Divide both sides by a – b – d; a + b + d

x(a – b - d) cd

a + b + d

a - b - d

a – b-d

Simplify

X =dc/a-b-d

The value of 'x' in the algebraic equation is  [tex]\rm x= \frac{dc}{a-b-d} \\[/tex]  where [tex]\rm a\neq b+d[/tex]

It is given that the algebraic equation  [tex]\rm \frac{ax-bx}{x+c}= d[/tex]

It is required to solve the algebraic (polynomial) equation if [tex]\rm a\neq b+d[/tex]

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an algebraic equation:

[tex]\rm \frac{ax-bx}{x+c}= d[/tex]

[tex]\rm \frac{ax-bx}{x+c}= d\\\\\rm ax-bx=d(x+c)\\\rm ax-bx=dx+dc\\\rm ax-bx-dx=dc\\\rm (a-b-d)x=dc\\\\\rm x= \frac{dc}{a-b-d} \\[/tex]

Thus, the value of 'x' in the algebraic equation is  [tex]\rm x= \frac{dc}{a-b-d} \\[/tex] where [tex]\rm a\neq b+d[/tex]

Learn more about Polynomial here:

brainly.com/question/17822016

Given:

The quadratic equation is:

[tex]6x^2-x-2=0[/tex]

To find:

The nature of the solutions by using the discriminant.

Solution:

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then its discriminant is:

[tex]D=b^2-4ac[/tex]

If D<0, then both roots are complex.

If D=0, then both roots are real and equal.

If D>0, then both roots are real and distinct.

We have,

[tex]6x^2-x-2=0[/tex]

Here, [tex]a=6,b=-1,c=-2[/tex]. So, the value of the discriminant is:

[tex]D=(-1)^2-4(6)(-2)[/tex]

[tex]D=1+48[/tex]

[tex]D=49[/tex]

Since [tex]D>0[/tex], then both roots are real and distinct.

Hence, the discriminant of the given quadratic equation is 49 and both roots are real and distinct.

Answer:

Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. A function f is odd if the graph of f is symmetric with respect to the origin. Algebraically, f is odd if and only if f(-x) = -f(x) for all x in the domain of f   brainliest ?

Answer:

C

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

FYI

Answer:

[tex] \sqrt{13} [/tex]

Step-by-step explanation:

A is the hyp. And b/c are the sides

A²=b²+c²=3²+2²=9+4=13

Now take the square root of 13 as the answer

Answer:

B= 21.195

Step-by-step explanation:

Inner circle area = 3.14×1.5×1.5=7.065

Outer circle area = 3.14× 3×3 = 28.26

3 is the radius of the outer circle

Area of the shaded portion is = area of outer circle - area of inner circle

28.26-7.065=21.195

Answer B= 21.195

Answer:

Step-by-step explanation:

Maximum capacity of the elevator = 2000 pounds

Combined weight of the elevator = 428 pounds

A). Let the possible weights that can be added to the elevator = w pounds

B). Therefore, inequality representing this situation will be,

    428 + w < 2000

C). By solving the given inequality,

    (428 + w) - 428 < 2000 - 428

    w < 1572 pounds

    Now we draw this inequality on a number line.

Answer:

a. 2  b. 2

Step-by-step explanation:

Answer:

whaats the question

Step-by-step explanation:

Answer:

it will take his cat 60 days to finish the entire bag

Step-by-step explanation:

Answer:

Is A.

Step-by-step explanation:

22 < 7x+57

7x+57>22

7x>-35

x>-5

Answer:

4 selections

Step-by-step explanation:

We are told in the question that:

Josie selected 6 books from the library. However, he can only check out 4 books at a time.

The number of possible selections can he make is 4 selections. This is because, He can only take 4 books out of the library at a time. This is the standard.

Answer:

14 m/s

Step-by-step explanation:

Answer:

a) The piece of pizza she should choose is BE

b) The length of the cheese in her piece of the crust is approximately 20.07 inches

Step-by-step explanation:

The given diameter of the pizza, AE = 20 in.

The measure of the arc AB, [tex]m\widehat{AB}[/tex] = ∠ACB = 65°

The measure of the arc DE, [tex]m\widehat{DE}[/tex] = ∠DCE = 110°

Given that AE is the diameter of the circular pizza, we have;

[tex]m\widehat{BE}[/tex] = ∠BCE = 180° - ∠ACB = 180° - 65° = 115°

Similarly;

∠ACD = 180° - ∠DCE = 180° - 110° = 70°

a) The biggest piece of pizza is the piece with the largest angle which is the  piece formed by arc BE, [tex]m\widehat{BE}[/tex] = 115°

The piece of pizza she should choose is the piece, BE

b) Arc length = (Arc angle)/360 × (Circumference of the circle)

The circumference of the circular pizza, C = π × Diameter = π × length [tex]\overline {AE}[/tex]

∴ C = π × 20 in.

The arc length of the arc BE = 115/360 × π × 20 = 115·π/18 ≈ 20.07

The length of the cheese in her piece of the crust, l = The arc length of the arc BE ≈ 20.07 inches.

Answer:

88 degrees.

Step-by-step explanation:

Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)

Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8

Answer:

The probability that a randomly selected employee works both part time and 5 days each week is 0.02

Step-by-step explanation:

What is probability?

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.

The total employees =100

Let A= Employees who work part time = 14

and B = Employees who work 5 days each week = 80

Then, A∪B= 92

We have to find, P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)

0.92=0.14+0.8-P(A∩B)

0.92=0.94-P(A∩B)

P(A∩B)=0.02

Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.

To know more about probability here

https://brainly.com/question/23044118

# SPJ2

Answer:45.1%

Step-by-step explanation:

Answer: 16.77363782

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) -3

b) 5

c) -2

d) -6

Answer:

a) (-3)

b) 5

c) (-2)

d) (-6)

Hope it helps!!

Answer:

45

Step-by-step explanation:

Answer:

B) 31.25%

Step-by-step explanation:

Answer:

11.5

Step-by-step explanation:

Answer:

4x + 2.5y = 184

x = y - 6

Step-by-step explanation:

Let the number of smoothies sold by stand = x

And number of cones sold = y

If the selling price of each cone = $2.5

Selling price of the 'y' cones = $2.5y

Selling price of each smoothies = $4

Then sales of smoothies = $4x

If the total sales of one day = $184

Equation for this situation will be,

4x + 2.5y = 184 -------(1)

If the stand sold 6 less smoothies than the cones,

x = y - 6 -----(2)

Therefore, system of equations contains two equations (1) and (2).

Given:

The two sides of a triangle are 2 and 6.

To find:

The side length that would NOT work to make a triangle with the two slide lengths of 2 and 6.

Solution:

For a triangle, the sum of two smaller sides must be greater than the largest side.

Let x be the third side.

Case 1: x is the largest side, then

[tex]2+6>x[/tex]

[tex]8>x[/tex]              ...(i)

Case 2: x is not the largest side, then

[tex]2+x>6[/tex]

[tex]x>6-2[/tex]

[tex]x>4[/tex]              ...(ii)

From (i) and (ii), we get

[tex]4<x<8[/tex]

Here, 4 and 8 are not included.

6, 5, 7 are included in the above interval, but 4 is not included in the above interval. It means 4 would NOT work to make a triangle with the two slide lengths of 2 and 6.

Therefore, the correct option is D.

Answer: The volume is the product of the Length, Width, and Height: V = LWH.

Step-by-step explanation: We are given V = 240 in.3, and H = 6 in., and L = W + 3 in.

Thus 240 in.3 = (W+3 in.)*W*(6 in.) so W(W+3 in.) = 240 in.3 / 6 in. = 40 in.2

Using the distributive property and moving the constant to the left gives:

W2 + (3 in.)W - 40 in.2 = 0

This factors:

(W + 8 in.)(W - 5 in.) = 0

The first factor gives W = -8 in. which is nonsense because it is negative.

The second factor gives a valid answer of W = 5 in.

Answer:28 possibly? I know that you connect it with the angles use across from the angle I hope I helped a little

Step-by-step explanation:

Answer:

Sin 30°

= 0.5 appromaxit

Answer: points for points

Step-by-step explanation:

Hi  t sure what to do?