A bag contains 30 lottery balls numbered 1-30. A ball is selected, replaced, then another is drawn. Find each probability.
1. p(even, then odd)
2. p(7 and then a number greater than 16)
3. p(a multiple of 5 and then a prime number)
4. p(two even numbers)​

Answer:

Step-by-step explanation:

To get maximum product we need to optimize how we break down the numbers

Its obvious we don't want number 1 to be used as it won't change the product

Also we don't want to use big numbers, we can have four 5's instead of two 10's as it would give greater product, 5*5 > 10

What is best number?

So the best is to break the number down to 2's and 3's

As we see the maximum product we can get is 4374 with seven 3's and one 2.

Hence the numbers are:

Answer:

your answer should be     3, 3, 3, 3, 3, 3, 3, 2

Answer:

1 ?????????.........

Answer:

The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]

Step-by-step explanation:

The length of the box = [tex]l[/tex]

The height of the box = [tex]h[/tex]

The volume of the box can be obtained by multiplying the surface area of the base by the height of the box.

The surface area of the base of the box is a square, so it will be obtained by multiplying [tex]l \times l = l^2[/tex]

hence volume = [tex]l^2 \times h =29[/tex]

Notice that we are told to give our answer in terms of l, so we will make h the Subject of the formula in the above equation.

[tex]h =29/l^2[/tex]

In the next phase, we are to find the surface area of the box.

The box has a square base, hence it will be made up of

2 squares with 4 rectangles. This is assuming the top is closed.

This means the surface area will be

[tex]2(l^2) +4 (l\times h)[/tex]

recall [tex]h = 29/l^2[/tex]

Hence, surface area =

[tex]2(l^2) +4(l \times 29/l^2)\\2l^2 +116/l[/tex]

The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]

The surface area of the closed box in terms of l only, which has the square base is,

[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]

Volume of cuboid or box is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of cuboid or box can be given as,

[tex]V=l\times b\times h[/tex]

Here, (l) is the length, (b) is the width of the box and (h) is the height of the box.

A closed box has a square base with side length l feet and height h feet.  Therefore, the length and width will be the same.

The volume of the box is 29 cubic feet. Thus,

[tex]29=l\times (l)\times h\\h=\dfrac{29}{l^2}[/tex]

The surface area of the square base box is,

[tex]A=2l^2+4lh[/tex]

Put the value of height,

[tex]A=2l^2+4l\dfrac{29}{l^2}\\A=2l^2+\dfrac{116}{l}\\[/tex]

Hence, the surface area of the closed box in terms of l only, which has the square base is,

[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]

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Answer:

(half * base 1 * base 2)/height

base 1 is 6 and base 2 is 9

get the height from similarity

6/9 = 8/CE

therefore CE = 72/6

Answer:

30cm²

Step-by-step explanation:

AE/BD = CE/CD

9/6 = CE/8

CE = 9/6 x 8

CE = 12cm

DE = CE - CD

DE = 12 - 8 = 4 cm

½(6 + 9)4 = 30cm²

Answer: 14 years

Step-by-step explanation:

Look at the graph and see where the line reaches $2500. Just by looking at the x-axis, you can rule out b and d since they deal with months not years

=========================================================

Explanation:

We need to find the total area first.

Break the figure into 2 parts. The part on the left is a rectangle, and the portion on the right side is a nonrectangular parallelogram.

The rectangle's area is 25*20 = 500 square meters.

The parallelogram's area is 18*10 = 180 square meters.

The formula to find the area of each is base*height

The total area of the entire figure is 500+180 = 680 square meters.

Since 1 square meter of linoleum costs $2.50, this means 680 square meters cost 680*2.50 = 1700 dollars.

Step-by-step explanation:

First one on the left = Second one on the right

Second one on the left = First one on the right

Third one on the left = Third one on the right

Answer:

1. 75% = 3/4

2. 3/20 = 15%

3. 0.4 = 40%

4. 30% = 0.3

5. 0.64 = 16/25

Did this on Edge and got it all correct! Please mark brainliest, dearie <33

Answer:

20

Step-by-step explanation:

Since 40% of the crew are men, which means n.40=8 n=8/.40 n=20 total number of crew 20 - 8=12 are women.

The number of people in the crew is 20.

Let the number of people in the crew be represented by x.

Therefore, 40% of x will be 8. This can then be written as:

40% of x = 8

40/100 × x = 8

0.4 × x = 8

0.4x = 8

Divide both side by 0.4

0.4x/0.4 = 8/0.4

x = 20

Therefore, the number of people in the crew is 20.

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Answer:

It’s the 3 one

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 40 \pi \ cm, 125.6 \ cm, or \ 125.6637061 \ cm}}[/tex]

Step-by-step explanation:

Circumference can be found by multiplying the diameter of the circle by pi.

[tex]c= \pi d[/tex]

We are given the radius, which is 20 centimeters. We need the diameter, which is twice the radius.

[tex]d= 2r[/tex]

[tex]d= 2(20 \ cm)[/tex]

[tex]d= 40 \ cm[/tex]

Substitute the diameter into the formula. There are many ways to calculate circumference, so I included a few options.

1. In Terms of Pi

If we solve in terms of pi, we leave π in the answer.

[tex]c=\pi ( 40 \ cm)[/tex]

[tex]c= 40 \pi \ cm[/tex]

2. Using 3.14 as Pi

[tex]c=\pi ( 40 \ cm)[/tex]

Substitute 3.14 in for pi.

[tex]c= (3.14)(40 \ cm)[/tex]

[tex]c=125.6 \ cm[/tex]

3. Using 3.14159 as PI

[tex]c=\pi ( 40 \ cm)[/tex]

Use the pi button on a calculator.

[tex]c= 125.6637061 \ cm[/tex]

The circumference of the light fixture is 40π, 125.6 cm, or 125.6637061 cm

Answer:

each balloon costs 1$ and each banner costs 3$

Step-by-step explanation:

The costs of each balloon and banner are $1 and $3 respectively.

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.

Let x represents balloons and y represents banners.

Establishing the equations,

x+y = 4

x = 4 - y......(i)

3x + 2y = 9...(ii)

Put eq(i) in eq(ii)

3(4 - y) + 2y = 9

12 - 3y + 2y = 9

y = 3

Put y = 3 in eq(i)

x = 4-3

x = 1

Hence, the costs of each balloon and banner are $1 and $3 respectively.

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Answer:

y=-2x+6

Step-by-step explanation:

Answer:

0

6

Step-by-step explanation:

<3

The ranges are:

f(x): {y | y ≤ infinity}

g(x): {y | y ≤ infinity}

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

For the function f(x) = (4/5)x, any input value of x will be multiplied by 4/5 and produce a corresponding output value y.

Since the fraction 4/5 is less than 1, the output values of f(x) will always be smaller than the input values of x.

Therefore, the range of f(x) will be all real numbers less than or equal to the greatest possible output value.

The greatest possible output value will occur when x is the greatest possible input value, which is infinity. So, the range of f(x) is:

f(x): {y | y ≤ infinity}

For the function g(x) = (4/5)x + 6, any input value of x will be multiplied by 4/5, then 6 will be added to the result to produce a corresponding output value y.

The fraction 4/5 is less than 1, so the output values of g(x) will always be less than the input values of x plus 6.

Therefore, the range of g(x) will be all real numbers less than or equal to the greatest possible output value, which occurs when x is infinity. So, the range of g(x) is:

g(x): {y | y ≤ infinity}

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Answer:

60 I

Step-by-step explanation:

[tex]\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ 6\ and\ y \ is\ (-21) .}}}[/tex]

In the Question , its given that ∆ART [tex]\cong[/tex] ∆ DFI . And we need to find the values of x and y . So we know that ,

Hence here in ∆ ART & ∆ DFI :-

[tex]\bf\implies AT = DI \\\\\bf\implies 6x + 31 = 67 \\\\\bf\implies 6x = 67 - 31 \\\\\bf\implies 6x = 36 \\\\\bf\implies x =\dfrac{36}{6}\\\\\bf\implies \boxed{\red{\bf x = 6}}[/tex]

Hence the value of x is 6 .

[tex]\rule{200}2[/tex]

[tex]\bf\implies AR = DF \\\\\bf\implies -4y+19 = 103\\\\\bf\implies -4y = 103-19 \\\\\bf\implies -4y = 84 \\\\\bf\implies y =\dfrac{84}{-4}\\\\\bf\implies \boxed{\red{\bf y = -21}}[/tex]

Answer:

2.399

Step-by-step explanation:

Given the trigonometry expression:

tan(sin^-1((-12/13))

We are to find the exact value

tan(sin^-1((-12/13)) = tan(sin^-1((-0.9231))

tan(sin^-1((-12/13)) = tan(-67.38)

Also note that tan(-theta) = -tan theta

tan(-theta) = -tan67.38

tan(-67.38) = -2.399

The exact value is 2.399

Answer:

7 employees

Step-by-step explanation:

Given that 10% are temporary .

So number of temporary employees will be 10% of 70 employees = 7employees ( Answer)

Step-by-step explanation:

A = P(1 + r)^t

£5263.73 = £4000(1 + 0.01x)^7

(1 + 0.01x)^7 = 1.3159325

1 + 0.01x = 1.04

0.01x = 0.04

x = 4.

The value of x is 4.

Answers:

Answer:

(c) 24 (d) 2 -4 (e) 22 2 1.25 0

Step-by-step explanation:

Problem 1.1 (10 Points) Let 21 2j, and 23 j. Find the value of each of the following 3 4j, 22 expressions and give your answers in rectangular form z t jy. (a) 132122 (b) 321 421 (c) (21)3 (Note that superscript denotes conjugation.) 222 21 (d) 22 (e) 2223 Problem 1.2 (10 Points) (a) Find real numbers r and y such that 5z -3y j(5y z) 4. (b) Show that any complex number z can also be expressed as z e 2"* k 0, 1,2, 3. Problem 1.3 (10 Points) Express each of the following complex numbers in polar form. a) 2 2V3 (c) 1 j j2 7 4j (d) 3-2j (e) Problem 1.4 (10 Points) Use the results from Problem 1.2 (b) above to find all roots of the following complex numbers and plot your results in the complex plane. (a) 1 (Hint: there are 5 different answers and one is 2 (b) 23 (1 -j) (Hint: there are 3 different answers. (c) 24 (d) 2 -4 (e) 22 2 1.25 0

Any amount of rotation will not change the angle between the two spokes. This is because each piece of the wheel moves in unison as the rotation is applied. Nothing changes about the wheel. Imagine instead of rotating the wheel, we instead rotated the camera that is capturing the wheel (or the person looking at the wheel rotates their head). This is a good way to see how the wheel itself isn't changing at all, but instead rather just the look of it is changing.

Step-by-step explanation:

1.

36

2×18

2×9

3×3 therefore prime factorization is 2²×3²

2.

42

2×21

3×7 therefore prime factorization is 2×3×7

3.

48

3×16

2×8

2×4

2×2 therefore prime factorization is 2⁴×3

4.

27

3×9

3×9 therefore prime factorization is 3³

Step-by-step explanation:

-30i + 52 - 30i

= 52 - 60i.

Here a is 52 and b is -60.

Answer:

the green line

Step-by-step explanation:

its closest to the point

Hi there! The answer would be the green line and the dark blue line which is f(x)=2x+3 and h(x)=-2x+2.

Step By Step:

So you need to figure out the line for (2,-2).

This means that you would have to find a line that is between them which is the correct answer.

Well it can’t be orange since that it didn’t touch it and so can it not be red. So we have two answers left to choose from.

The last two pairs we have left would be the answer since they’re nothing touching the point for (2,-2).

This means that it would be D, dark blue and orange, or we can say f(x)=2x+3 and h(x)=-2x+2.

Answer:

hate to break it to ya but their is no question-

Step-by-step explanation:

A what you need help with

Step-by-step explanation:

Answer:

Pam walks 3/8 of a mile more than Paul

Step-by-step explanation:

1/2 = 4/8

7/8 - 4/8 = 3/8