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san4es73 [151]
2 years ago
14

Pls hurry Accurate Answer= Brainlist

Mathematics
1 answer:
Korvikt [17]2 years ago
3 0

Step-by-step explanation:

it would have to be practically the same equation.

because only then do you end up with 1 equation for 2 variables (the second equation does not create any additional information).

the only one being exactly the same as the original equation is the fourth option

y = 2(x + 5)

because that is

y = 2x + 10

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A coin is flipped eight times where each flip comes up either heads or tails. How many possible outcomes a) are there in total?
attashe74 [19]

Answer:

There are 256 ways in total.

There are 56 possible outcomes contain exactly three heads.

The possible outcomes contain at least three heads is 219.

The possible outcomes contain the same number of heads and tails are 70.

Step-by-step explanation:

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are:

2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=2^8=256

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination: \binom{n}{r}=\frac{n!}{r!(n-r)!}

\binom{8}{3}=\frac{8!}{3!(5)!}=56

Hence, there are 56 possible outcomes contain exactly three heads.

Part (c) contain at least three heads?

For 3 heads: \binom{8}{3}=\frac{8!}{3!(5)!}=56

For 4 heads: \binom{8}{4}=\frac{8!}{4!(4)!}=70

For 5 heads: \binom{8}{5}=\frac{8!}{5!(3)!}=56

For 6 heads: \binom{8}{6}=\frac{8!}{6!(2)!}=28

For 7 heads: \binom{8}{7}=\frac{8!}{7!(1)!}=8

For 8 heads: \binom{8}{8}=1

Now add them as shown:

56+70+56+28+8+1=219

Hence, the possible outcomes contain at least three heads is 219.

Part (d) contain the same number of heads and tails?

Same number of heads and tails means that the value of r=4.

Therefore,

\binom{8}{4}=\frac{8!}{4!(4)!}=70

Hence, the possible outcomes contain the same number of heads and tails are 70.

6 0
3 years ago
Simplify -7y(4-y)<br> plz also include explanation
Lana71 [14]
Use distributive property
-28y+8y= -20y

6 0
3 years ago
if you draw two right triangles using the line as the hypotenuse, do the triangles have to be similar? Why or why not?
diamong [38]

Answer:

All the right triangles will be similar.

Step-by-step explanation:

See the attached diagram.

Let us assume any two right triangles are drawn on the line OP, and AB and A'B' as the hypotenuse on the same line OP.

Since the slope of the line OP is constant and assume that it makes x° with the positive x-axis.

Hence, \tan x = \frac{AC}{BC} = \frac{A'C'}{B'C'}

⇒ \frac{AC}{A'C'} = \frac{BC}{B'C'}

Therefore, the sides of the two right triangles are in the same ratio and hence, Δ ABC and Δ A'B'C' are similar.

Hence, all the right triangles will be similar. (Answer)

4 0
4 years ago
Please help me it’s due in 10 mins!!
Crazy boy [7]

Answer:

4

Step-by-step explanation:

5 * 1/5 + 1/5 * 15 = 4

8 0
3 years ago
Read 2 more answers
(6a + 5b + 4c) + (–6c + 15b) + (–8a)
kenny6666 [7]

Answer:

-2a + 20b - 2c

Step-by-step explanation:

(6a + 5b + 4c) + (–6c + 15b) + (–8a) = 6a + 5b + 4c - 6c + 15b - 8a

                                                          = 6a - 8a + 5b + 15b + 4c - 6c

                                                          = -2a + 20b - 2c

6 0
3 years ago
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