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Andrei [34K]
3 years ago
7

A coin is flipped eight times, and the sequence of heads and tails occurring is recorded. How many distinct sequences are possib

le?
Mathematics
1 answer:
Mashcka [7]3 years ago
6 0

Answer:

256

Step-by-step explanation:

Here, the order of the results from each other doesn't matter. e.g HHHTTTTT, TTTTTHHH are two different outcomes.

There are two possible outcomes for each flip, heads,H or tails, T

After eight flips, using the rule of product, the possible outcomes or sequences is equal to

2x2x2x2x2x2x2x2= 2^8=256

General formula for total number of outcomes when a coin is flipped is given by 2 raised to power n, where n is the number of flips, in this case, n is 8,  2^8=256

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Parking lot has 121 spots. Ratio of senior to junior is 7 to 4. How many spots go to each grade level?
Andrej [43]
I am going to build a chart this is best when using ratios 

              seniors    junior  total
                 7              4       
                 *?             *?     *?
    Totals                          121   

The way we fill out this chart is that we add the rows and multiply the columns. 

So we add 7 + 4 and fill it in our chart we get 11 

            seniors    junior  total
                 7              4       11
                 *?             *?     *?
    Totals                          121   

now to find the *? need to divide 121/11 to get *?

121/11 = 11

so now our chart looks like this 
            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals                          121   

Now we multiply each column 

so
7 * 11  = 77
 4*11 = 44

now our chart look like this 

            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals     77           44      121   

so seniors get 77 spaces 
and juniors get 44 spaces. 

6 0
2 years ago
55 points see attachment below
Ludmilka [50]

Answer:

  f(3) = -20

Step-by-step explanation:

To find the value of a function, substitute the number for the variable and do the arithmetic.

  f(x) = -2x^2 +x -5 . . . . . . given

  f(3) = -2(3^2) +(3) -5 . . . . function value for x = 3

  f(3) = -2(9) +3 -5 = -18 +3 -5

  f(3) = -20

4 0
2 years ago
02-3+30-8+p+p
kupik [55]

The constants, -3 and -8, are like terms

The terms 3p and p are like terms

The terms in the expression are p^2, -3, 3p, -8, p, p^3

The expression contains 6 terms.

Like terms have the same variables raised to the same powers.

4 0
2 years ago
Can you simplify 144/20?
sdas [7]
36/5 will be simplified 144/20

3 0
3 years ago
Read 2 more answers
Which expression does NOT simplify to 1?
koban [17]

fg^3 / g^3f = 1

f^4 / f*f*f*f = f^4 / f^4 = 1

f^2g^3 / f^3g^2 = g/f

f*f/f^2 = f^2 / f^2 = 1

Answer:

f^2g^3 / f^3g^2

6 0
3 years ago
Read 2 more answers
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