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3 years ago

5

Select a card from a stack of 10, then you put the card back and select another card. Find the probability of selecting a 2, and

then a 3 card.

2 answers:

Sindrei [870]3 years ago

5 0

I think it would be 1/10+1/10=2/10=1/5

Goshia [24]3 years ago

4 0

The probability 5 out of 10

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Find the prime factors.<br> 7) 48

FinnZ [79.3K]

Step-by-step explanation:

$48 = 48 \times 1 \\ 48 = (24 \times 2) \times 1 \\ 48 = (12 \times 2) \times 2 \times 1 \\ 48 = (6 \times 2) \times 2 \times 2 \times 1 \\ 48 = (3 \times 2) \times 2 \times 2 \times 2 \times 1$

7 0

2 years ago

Which of the following are remote interior angles of _1? Check all that apply.

andrew11 [14]

Answer:

I would say 2,3,4.

Step-by-step explanation:

I hope this helps and i hope this is the right answer

8 0

3 years ago

Use a separate sheet of paper to solve the system of inequalities by graphing. Use the graph to decide if the point (1, –1) is i

Lena [83]

Answer:

The answer is no though, the point (1,-1) is below both.

Step-by-step explanation:

So the two inequalities are y≤-3x+3 and 3x+8y≥3

With inequalities you have to know a few things. First, when you graph you may have to use non solid lines. for instance, if you had x<5, 5 would not be part of the answer because it is only answers less than 5. so you represent this by making a dashed line that says "you cannot include values on this line". Second, with algebra, if you multiply both sides by a negative it flips the inequality. for instance -y > 54 you would multiply (or divide) by -1 and it would change to y < -54. Third, when graphing an inequality, treat it like an equation and graph the line as if it were said equation(with solid or dashed lines as needed) then, if it is y > f(x) you shade in the section above the line and y < f(x) shades in below. The shaded part is your answer basically. Now lets get into yours.

y≤-3x+3

It is already in the form y = f(x) so grapht he line 3x + 3 with a solid line since it is y is less than or equal to, then shade below that line.

3x+8y≥3

First get it so y is by itself

3x+8y≥3

8y≥3 - 3x

y ≥ 3/8 - 3/8 x

Now grapht his line with a solid line and shade the area above it.

Now, the shaded area below between y ≥ 3/8 - 3/8 x and y≤-3x+3 and the lines are your answer, so you need to check if the point (1, -1) is in this shared shaded area or on one of the lines.

The answer is no though, the point (1,-1) is below both.

6 0

3 years ago

Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore, and recorded number of pages in each textboo

jeka94

Answer:

y = -0.85 + 0.09x; $49.82

Step-by-step explanation:

1. Calculate Σx, Σy, Σxy, and Σx²

The calculation is tedious but not difficult.

$\begin{array}{rrrr}\mathbf{x} & \mathbf{y} & \mathbf{xy} & \mathbf{x^{2}}\\526 & 52.08 & 27394.08 & 276676\\625& 59.00 & 36875.00 &390625\\589 & 56.12 & 33054.68 & 346921\\409 & 25.72 & 10519.48 & 167281\\489 & 34.12& 16684.68 & 293121\\500 & 53.00 & 26500.00 &250000\\906 & 76.48 & 71102.88 & 820836\\251 &26.08 & 6546.08 & 63001\\595 & 50.60 & 30107.00 & 354025\\719 & 68.52 & 49265.88 & 516961\\\mathbf{5609} & \mathbf{503.72} &\mathbf{308049.76} & \mathbf{3425447}\\\end{array}$

2. Calculate the coefficients in the regression equation

$a = \dfrac{\sum y \sum x^{2} - \sum x \sum xy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{503.7 \times 3425447 - 5609 \times 308049.76}{10 \times 3425447- 5609^{2}}\\\\= \dfrac{1725466163 - 1727851103.84}{34254470 - 31460881} = -\dfrac{2384941}{2793589}= \mathbf{-0.8537}$

$b = \dfrac{n\sumx y - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{3080498 - 2825365.48}{2793589} = \dfrac{255132}{2793589} = \mathbf{0.09133}$

To two decimal places, the regression equation is

y = -0.85 + 0.09x

3. Prediction

If x = 563,

y = -0.85 + 0.09x = -0.85 + 0.09 × 563 = -0.85 + 50.67 = $49.82

(If we don't round the regression equation to two decimal places, the predicted value is $50.56.)

4 0

3 years ago

Royce is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is doubled

Alisiya [41]

The input value is the number of times you fold it. The input value is also known as the x-value.
The output value is its thickness. The output value is the y-value.

When you don't fold it all, the thickness will remain the same, which is 2. The ordered pair would be (0, 2).

When you fold it once, the thickness will double from 2 to 4. The ordered pair would be (1,4).

When you fold it a second time, the thickness will double from 4 to 8. The ordered pair would be (2,8).

Fold it one more time, and the thickness will be 16. The ordered pair is (3,16)

Fold it the fourth time, and the thickness doubles. 16 x 2 = 32 The ordered pair is (4, 32)

Fold it the fifth time, and the thickness goes from 32 to 64. The ordered pair is (5,64)

The ordered pairs would be:
(0,2)
(1,4)
(2,8)
(3,16)
(4,32)
(5,64)
(6,128)
(7,256)
and so on :P

The question asks for 6 ordered pairs, so I bolded the first six.

Now, the equation for this would be $y = 2^{(x+1)}$

If we graph that, and we do the vertical line test, then we know this is a function.

It is a function because each x-value has a different y-value. There are no y-values that have the same x-values.

<span>I have attached the graph of that line.</span>

6 0

3 years ago