Tell whether each set of events is independent or dependent (problems 1 - 4).
1. The teacher randomly selects two students from the class.

2. You roll a 3 on a number cube and choose a 3 from a deck of cards.

3. Pick "Joe" from a box of names, replace it, and then pick "Craig".

4. Pick "Joe" from a box of names, set it aside, and then pick "Craig".

Answer

math   way u can get a  answer more faster

Step-by-step explanation:

oooh

Answer:

y= 5x +9

Step-by-step explanation:

Slope- intercept form:

y= mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient. Since the gradient of the given line is 5, the gradient of the unknown line is also 5. Hence, m=5.

y= 5x+c

To find the value of c, substitute a coordinate.

When y= -6, x= -3,

-6= 5(-3) +c

-6= -15 +c

c= 15 -6 (+15 on both sides)

c= 9 (simplify)

Thus, the equation of the line is y=5x+9.

Answer:

48

Step-by-step explanation:

The pie chart that represents the people who prefer dogs will have an angle of 172.8 degrees. The correct option is C.

A circular statistical visual with slices illustrating numerical proportion is called a pie chart. Each slice's arc length in a pie chart corresponds to the quantity it represents.

The data for the pie chart is given below:-

Dogs          24

Cats           18

Hamsters   5

Fish            3

Total number is = 24 + 18 + 5 + 3 = 50

Angle = 360 / 50 = 7.2

The pie chart that represents the people who prefer dogs will be calculated as:-

Dogs = 7.2 x 24 = 172.8 degrees.

The pie chart is attached with the answer below.

Therefore, the pie chart that represents the people who prefer dogs will have an angle of 172.8 degrees. The correct option is C.

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Answer:10

Step-by-step explanation: since x=5

2×5= 10

Answer:

[tex]10[/tex]

Step-by-step explanation:

[tex]2x \\ [/tex]

[tex]x = 5[/tex]

[tex]2x \\ 2 \times 5 \\ = 10[/tex]

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Answer:

y + 1/2 = 3(x - 2)          This matches the 3rd answer choice.

Step-by-step explanation:

Use the point-slope formula for the equation of a straight line that passes through the point (h, k) and has a slope of m:

y - k = m(x - h) becomes:

y + 1/2 = 3(x - 2)          This matches the 3rd answer choice.

The equation of the line will be y + 1/2 = 3(x – 2). Then the correct option is C.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope is 3. Then the equation of line will be

y = 3x + c

If the equation is passing through (2, -1/2). Then we have

-1/2 = 3(2) + c

    c = -6 - 1/2

Then the equation will be

        y = 3x – 6 – 1/2

y + 1/2 = 3(x – 2)

Then the correct option is C.

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Answer:

472.5

Step-by-step explanation:

Answer:

= 2160 cubic meters

Step-by-step explanation:

For Cuboidal House

length 18 m,

width 12 m and

height 10 m

Volume of Cuboid

= l*b*h

= 18 * 12 * 10

= 2160 cubic meters

Thus, the volume of a cuboidle house is 2160 cubic meters

Answer:

2160

Step-by-step explanation:

Answer:

(8,-3) and (4,5)

Step-by-step explanation:

Answer:

Volume = 343 - Length: 7, Width: 7, Height: 7

Volume = 729 - Length: 9, Width: 9, Height: 9

Step-by-step explanation:

Assuming that the shapes are rectangular prisms.

So the answer is no solution .

Look at the attached picture

Hope it will help you

Answer:

It is Number 1 A

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

you can do this two ways:

First:

[tex]3(10)-16\\=30-16\\=14[/tex]

Second:

Distribute the 3 first

[tex]\\12+18-16\\=30[/tex]

Answer:

Graph A

Step-by-step explanation

I look at the y-intercept first, and the y-intercept is -4, so looking at each graph you can see both A and D have y-intercepts of -4, since the line intercepts, or goes through the y-axis (the vertical line of the graph) at -4.

Then, you look at the variable that's changing, which is -5x. Since it's a negative, A is the graph that is negatively decreasing, because of its position on the graph. The line is going down, starting in the negative side.

Answer:

Step-by-step explanation:

130

So the right answer is 130 degree.

Look at the attached picture

Hope it will help you

Good luck on your assignment

The slope is the change in y over the change in x

Use the first and last set given.

Slope = (11 - 3) / (2 - -2) = 8-4 =2

The slope = 2

Answer:

Answer is given below with explanations.

Step-by-step explanation:

[tex]in \: second \: question \: linear \ \\ pair \: of \: angles \: is \: shown \\ linear \: pair \: of \: angles \: is \: 180 \: degrees. \\ then \: a + b = 180 \: degrees \: \: (1) \\ in \: first \: equation \: \\ subtracting \: a \: on \: bot h\: sides \\ we \: get \: b = 180 - a \\ then \: D \: and \: E \: are \: correct \: \\ options \: which \: gives \: the \: relationship \: \\ between \: the \: mesure \: of \: angle \: in \: figure[/tex]

[tex]in \: third \: question \: also \: represents \: \\ linear \: pair \: of \: angles \\ here \: 88 + b + b = 180 \: degrees \\ 88 + 2b = 180 \\ so \: option \: D \: is \: the \: only \: correct \: answer \: \\ to \: represent \: the \: relationship \ \\ : between \: angles \: in \: figure.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

The correct answer would be C. y = -10x

Step-by-step explanation: We cam eliminate the first two by common sense, that would leave us with options C, and D. The correct answer would be C, the reason it is not D is because D isn't a proportion, y = -10 is just stating that variable y equals -10, whereas, y = -10x represents a proportion.

Answer: the other guy is correct

Step-by-step explanation: it is C i got a 100%

Answer:

f(n) = 120 * (1/2)^n

Step-by-step explanation:

First the first number is 120, so we get y = 120, then 60/120 = 1/2

So we no the r, or constant rate is 1/2.

After that, we can finish our equation by doing

f(n) = 120 * (1/2)^n

or

y = 120*(1/2)^x

The explicit formula for the given geometric sequence is:

[tex]a_n = 120 \times 0.5^{n-1}[/tex]

We have,

To find an explicit formula for the geometric sequence 120, 60, 30, 15, ...,

we need to determine the common ratio, denoted by 'r'.

To find the common ratio, we divide any term in the sequence by its preceding term.

Let's choose the second and first terms:

r = 60 / 120 = 0.5

Now that we have the common ratio 'r', we can express the nth term of the geometric sequence using the explicit formula:

[tex]a_n = a_1 r^{n-1}[/tex]

where '[tex]a_n[/tex]' represents the nth term of the sequence, '[tex]a_1[/tex]' is the first term, 'r' is the common ratio, and 'n' is the position of the term we want to find.

Using the given sequence, '[tex]a_1[/tex]' is 120, and 'r' is 0.5.

Plugging these values into the formula, we have:

[tex]a_n = 120 \times0.5^{n-1}[/tex]

Therefore,

The explicit formula for the given geometric sequence is:

[tex]a_n = 120 \times 0.5^{n-1}[/tex]

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Answer: 3(500+x)=1800

Answer:

1/27

Step-by-step explanation:

3 times 3 times 3 = 27

as a fraction it would be 1/27

Answer:

[tex]\frac{1}{27}[/tex]

Step-by-step explanation:

When finding the power of a fraction you need to set both the numerator and denominator to the power.

(1/3)³ = 1³/3³

3³ = 27

1³/3³ = 1/27

Answer:

A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.

Step-by-step explanation:

x = 3 + t

y = t² − 4

Eliminating the parameter:

t = x − 3

y = (x − 3)² − 4

This is an upwards parabola with a vertex at (3, -4).

x = 3 + t, so as t increases, x increases.

So the curve is traced from left to right.

Answer:10 is the area

Step-by-step explanation:

Answer: I think the answer is A

Step-by-step explanation:

Answer:

(+ 50,+ 11) are the points of the equilibrium point.

Step-by-step explanation:

demand is a negative line.

supply is a positive line.

Answer:

D

Step-by-step explanation:

Answer:

5,10,20,30

Step-by-step explanation:

least to greatest

Answer:

it's8

Step-by-step explanation:

Answer:

First answer is 14

Second answer is 25

Step-by-step explanation:

Median is the middle ( 1 2 3 4 5 the median would be 3)

You start at 2 and end at 27

List all the numbers from 2 to 27 and come from both ends until you get to the middle number(s)

In this case there are two 14 & 15

14+15=29 29÷2=14.5

Since there are no decimal answers you are left with 14

Range you take the two end numbers and subtract them (27 & 2)

27-2=25

Hopefully this helps!