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3 years ago

True or false

Mathematics

1 answer:

zloy xaker [14]3 years ago

8 0

1. false
2. true
3. true
4. true
5. what is GM
6. no
7. true
8. false

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Which expression calculates the speed in meters per second of an object that travels a distance of 40 m every 10 s?

Mumz [18]

Answer:

Step-by-step explanation:

40/10 will give you your answer

40/10=4m/s

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3 years ago

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What is this 3^x+1=15

beks73 [17]

Hello,

3^x+1=15
==>3^x=14
==>x*ln(3)=ln(14)
==>x=ln(14)/ln(3)
==>x=2,40217350273....

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3 years ago

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

Does anyone know this one! Thanks

Scrat [10]

Answer:

22.4 cm

Step-by-step explanation:

2.8 cm x 8 sides = 22.4 cm

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C. y-2 = 4(x+1)

Step-by-step explanation:

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