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2 years ago

Which proportion could you use to convert 96 inches to feet? 96 inches=____ feet

Mathematics

1 answer:

bagirrra123 [75]2 years ago

7 0

Answer:

Step-by-step explanation:

1 foot=12 in. So we can do 96/12=8.

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The marks of a student of a class are given below78, 11,99,63,94,78,36,22<br>Range of mark is

creativ13 [48]

Answer:

Step-by-step explanation:

arrange the marks in ascending order

range = highest value - lowest value

= 99 - 11

= 88

3 0

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

F(x)=22xplus 33 and g(x)=x2−44x−55, find (g◦f)(88)

Law Incorporation [45]

F(x) = 22x + 33
g(x) = x² - 44x - 55
(g о f)(88) = (22(88) + 33)² - 44(22(88) + 33) - 55
(g о f)(88) = (1936 + 33)² - 44(1936 + 33) - 55
(g о f)(88) = (1969)² - 44(1969) - 55
(g о f)(88) = 3,876,961 - 86,636 - 55
(g о f)(88) = 2,790,325 - 55
(g о f)(88) = 3,790,270

5 0

4 years ago

A bird traveled 4 miles north before stopping to rest. The bird then flew 2,640 yards south in search of food. Finally, it flew

ra1l [238]

7 and 1/2 mile because 2,640=1.5 miles
4-1.5=2.5+5=7.5

8 0

3 years ago

Topic: Finite Geometric Sums <br> what is the value of ..

Juli2301 [7.4K]

For i=1 ===> Sum=4

for i=2===> Sum=2

for I=3===> Sum=1

Hence the answer is 7

Or you could have use the Sum formula of a GP:

Sum = a(1-r)^n/(1-r), with a=1, r=1/2 & n=3

6 0

3 years ago