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3 years ago

Graph the equation y=-2x+1

Mathematics

1 answer:

Fofino [41]3 years ago

6 0

Start by plotting the y-intercept at (0,1).

From that point, count "up 2, right 1" to get a second point on your graph.

If needed repeat that "up 2, right 1" from that second point to get a third point.

Draw the line that connects these 2 or 3 points.

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A snack-size bag of M&Ms candies is opened. Inside, there are 12 red candies, 12 blue, 7 green, 13 brown, 3 orange, and 10 y

Anestetic [448]

Answer:

$\frac{1}{4180}$

Step-by-step explanation:

GIVEN: A snack-size bag of M&Ms candies is opened. Inside, there are $12$ red candies, $12$ blue, $7$ green, $13$ brown, $3$ orange, and $10$ yellow. Three candies are pulled from the bag in succession, without replacement.

TO FIND: What is the probability that the first two candies drawn are orange and the third is green.

SOLUTION:

Total candies in the bag $=57$

Probability that first ball is orange, $P(A)=\frac{\text{total orange candies in bag}}{\text{total candies in bag}}$

$=\frac{3}{57}=\frac{1}{19}$

Probability that second ball is orange, $P(B)=\frac{\text{total orange candies in bag}}{\text{total candies in bag}}$

$=\frac{2}{56}=\frac{1}{28}$

Probability that third ball is green, $P(C)=\frac{\text{total green candies in bag}}{\text{total candies in bag}}$

$=\frac{7}{55}$

Now, probability that first two balls are orange and third is green is

$=P(A)\times P(B)\times P(C)$

$=\frac{1}{19}\times\frac{1}{28}\times\frac{7}{55}$

$=\frac{1}{19}\times\frac{1}{4}\times\frac{1}{55}$

$=\frac{1}{4180}$

Hence, probability that first two balls are orange and third is green is $\frac{1}{4180}$

3 0

4 years ago

Find the volume of the prism

Free_Kalibri [48]

Answer:

20m^3

Step-by-step explanation:

1/2 x 2 x 4 x 5 = 20

Hope this helps!

5 0

3 years ago

Read 2 more answers

What are the steps for simplifying an expression with exponents

MakcuM [25]

Answer:

Step-by-step explanation:

1- Remove any grouping symbol such as brackets and parentheses by multiplying factors.

2- the exponent rule to remove grouping if the terms are containing exponents.

3- Combine the like terms by addition or subtraction.

4- Combine the constants.

8 0

3 years ago

The garden is 6 feet wide and has a diagonal length of 10 feet what is the length in feet?

BigorU [14]

Answer:

Step-by-step explanation:

$10^{2}$ - $6^{2}$ = 100 - 36 = 64

$\sqrt{64}$ = 8

5 0

3 years ago

If one half of an integer is added to one fifth of the next consecutive integer, the sum is 10. Find the integers.

Ivahew [28]

Let 1st integer be x and next consecutive be x+1
1/2•x + 1/5•(x+1) = 10
x/2 + x/5 + 1/5 = 10
-1/5 -1/5
x/2 + x/5 = 49/5
(x/2)•5/5 + (x/5)•2/2 = 49/5
5x/10 + 2x/10 = 49/5
7x/10 = 49/5
•10 •10
7x = 98
÷7 ÷7
x = 14 --> 1st integer
x+1 = 14+1 = 15 --> next consecutive integer

5 0

3 years ago

Read 2 more answers