Which graph has a slope that is unit greater than the slope of the graph of y-x-2?

In a regional spelling bee, the 8 finalists consist of 3 boys and 5 girls. Find the number of sample points in the sample space

posledela

Answer: a.) 40320

b.) 336

Step-by-step explanation:

since we have 8 possible positions, with 8 different candidates, then there are 8 possible ways of arranging the first position, 7 possible ways of arranging the Second position, 6 ways of arranging the 3rd position, 5 possible ways od arranging the 4th position, 4 possible ways of arranging the 5th position, 3 possible ways of arranging the 6th position, 2 possible ways of arranging the 7th position and just one way of arranging the 8th position since we have only one person left.

Hence, the Number of possible sample space for different 8 positions is by multiplying all the number of ways we have in our sample space which becomes:

8*7*6*5*4*3*2*1 = 40320.

b.) By the sample space we have, since we've been asked ti arrange for only the firat 3 positions, then we multiply just for the first 3ways of choosing the positions, this becomes:

8*7*6 = 336

5 0

3 years ago

8a2 = 12 + a plzzzzzzzzzzzzzzzzzzzzzzzzzz help me slove this problem

polet [3.4K]

Answer:

1.28

Step-by-step explanation:

Assuming in 8a2 the '2' represents an exponent, you answer should be

1.28

3 0

3 years ago

Expand 2(y - 8) How do u do that

ss7ja [257]

Answer:

the answer is 2y-16

hope this helps

have a good day :)

Step-by-step explanation:

4 0

3 years ago

Giselle has a catering business. There is a proportional

Vanyuwa [196]

Answer:

1) The graph labeled and the ordered pairs plotted are shown in the second picture.

2) To calculate the amount of meat (in pounds) needed for a party of 75 people:

Substitute the value of the Constant of proportionality and $x=75$ into the equation $y=kx$ and then evaluate (The result is 30 pounds).

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

Proportional relationships have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

1) You can observe in the graph shown in the first picture this point:

$(10,4)$

So you can subsitute the coordinates of this point into $y=kx$ and solve for "k":

$4=k(10)\\\\k=\frac{4}{10}\\\\k=\frac{2}{5}$

Now you can find the amount of meat needed for 20, 30, 40, and 50 people with this procedure:

For 20 people

Substituting $k=\frac{2}{5}$ and $x=20$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(20)=8$

The ordered pair is:

$(20,8)$

For 30 people

Substituting $k=\frac{2}{5}$ and $x=30$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(30)=12$

The ordered pair is:

$(30,12)$

For 40 people

Substituting $k=\frac{2}{5}$ and $x=40$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(40)=16$

The ordered pair is:

$(40,16)$

For 50 people

Substituting $k=\frac{2}{5}$ and $x=50$ into the equation $y=kx$ and evaluating, you get:

$y=(\frac{2}{5})(50)=20$

The ordered pair is:

$(50,20)$

Knowing those values of "y"and having the ordered pairs, you can finish labeling the graph an plotting the ordered pairs (See the second picture.).

2) Substituting $k=\frac{2}{5}$ and $x=75$ into the equation $y=kx$ and evaluating, you can calculate the amount of meat (in pounds) needed for a party of 75 people. This is:

$y=(\frac{2}{5})(75)=30$

6 0

3 years ago

Sujan bought 16 pens for Rs256. how much would he have to pay for one pen he buys next time?

Elodia [21]

Step-by-step explanation:

.......................

7 0

3 years ago

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