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3 years ago

20 1/4% of 3 with work plz thx

Mathematics

1 answer:

Contact [7]3 years ago

3 0

Answer:

0.6075

Step-by-step explanation:

Assuming that it is '20 1/4' as said:

20 1/4 = 20.25

(20.25) * 3 = 0.6075

Hope this helps.

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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

Rewrite the equation in slope-intercept form: 8x - 3y - 5 = 0

algol [13]

Slope-Intercept Form: y = 8/3x + −5/3

6 0

3 years ago

P(x) = 3x^4 – 2x3 + 2x² – 1 What is the remainder when P(x) is divided by (x + 1)?

Kaylis [27]

Answer:

Step-by-step explanation:

Hello, we can use the Remainder Theorem, so the remainder is P(-1)

$P(-1)=3+2+2-1=6$

Thanks

7 0

3 years ago

PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this correctly!!!! (80pts)

lubasha [3.4K]

Answer:

Vol of prism 1 is 650in^3 I believe and the SA of prism 2 is 260.

Step-by-step explanation:

4/10=.40

1625x.40=650

10/4=2.5

104x2.5=260

3 0

3 years ago

Read 2 more answers

Are all of them correct???

Brilliant_brown [7]

As far as I can see you have gotten the majority of them right.

The only one I see, is the last number on the 4th row from the bottom.

11
x11
------------
121 not 132.

I hope this Helps! :)

4 0

4 years ago