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Agata [3.3K]
3 years ago
9

In a prize drawing at a fundraiser, you choose three different numbers from 1 to 8. How many ways are there to choose three numb

ers?
Mathematics
1 answer:
adell [148]3 years ago
8 0
If numbers cannot be repeated :

8 * 7 * 6

If numbers can be repeated :

8 * 8 * 8

The logic is that we have 8 different possibilities for the first digit. Then each of those 8 possibilities have 8 (or 7 if no repeats) for the second digit. Then each of those possibilites have 8(or 6 if no repeats) for the third digit.
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What does 45 - 4x equal
xxTIMURxx [149]
Let y = 0 to find the x-intercept(s).

0 = 45 − 4x

*Then subtract 45 from both sides*
-45 = -4x

*Next, DIVIDE both sides by -4*

-45
—— = x
-4

*NEXT, realize that TWO NEGATIVES MAKE A POSITIVE *

45. 4
——— = x {FLIP} x=——-
4. 45.


y-Intercept

Let x = 0 to find the y-intercept(s).


y = 45 −4(0)

NEXT, SIMPLIFY:

y=45
7 0
3 years ago
-8+9+5z+7x use z=3 and x=5
Ber [7]
Your answer is 51 because you have to trade the 3 and the 5 out with the z and the x so to find your answer you add -8+9+5 then you *3 bc z=3 then you add 7 * 5 so you answer is 51
7 0
3 years ago
Read 2 more answers
Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th
denpristay [2]

Answer:

(1) Correct option is B.

(2) Correct option is C.

Step-by-step explanation:

The information provided is:

n_{1}=200,\ \bar x_{1}=22.7,\ s_{1} = 4.5\\n_{2}=200,\ \bar x_{2}=19.7,\ s_{2} = 4.3

The (1 - <em>α</em>)% confidence interval for the difference between two mean is:

CI=\bar x_{1}-\bar x_{2}\pm t_{\alpha/2, (n_{1}+n_[2}-2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }

The critical value of <em>t</em> is:

\alpha /2=0.05/2=0.025

degrees of freedom =n_{1}+n_{2}-2=200+200-2=398

t_{\alpha/2, n_{1}+n_{2}-2}=t_{0.025, 398}=1.96

Compute the 95% confidence interval for the difference between two mean as follows:

CI=22.7-19.7\pm 1.96\sqrt{\frac{4.5^{2}}{200}+\frac{4.3^{2}}{200} }\\=3\pm0.8624\\=(2.1376, 3.8624)\\\approx(2.14, 3.86)

Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.

Correct option is B.

The null value of the difference between means is 0.

As the value 0 is not in the interval this implies that there is a difference between the two means, concluding that priming does have an effect on scores.

Correct option is C.

4 0
3 years ago
A company that manufactures small canoes has a fixed cost of $24,000. It costs $100 to prod canoes produced and sold.) a. Write
sweet-ann [11.9K]

Answer:

a. C(x) = 24,000 + 100x

b. R(x) = 200x

c. Break-even point is 240 canoes

Step-by-step explanation:

a. Cost function is C(x) = FC + pcost * x

C(x) = 24,000 + 100x

Where  

FC=Fixed cost  = 24,000

pcost=costs  to prod canoes = $100

x=produce quantity

b.Revenue function

R(x) = Px * x

R(x) = 200x

Where  

Px=Price

x=produce quantity

c. Break-even point is the amount of canoes where revenue are the same as cost.  We cover the total cost with the sales.

So,  FC + pcost * x=Px * x

24,000 + 100x=200x

Isolating x

24,000 =200x- 100x

100x=24000

x=24,000/100

x=240

3 0
3 years ago
Which property is illustrated by the statement 6 • 4 = 4 • 6?
LenKa [72]
Commutative property because 6•4=4•6 is communative property
5 0
3 years ago
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