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IRINA_888 [86]
3 years ago
12

A coin is tossed seven times and the sequence of heads and tails is observed. what is the number of different outcomes having ex

actly three​ heads?
Mathematics
1 answer:
Margaret [11]3 years ago
7 0
You could make a tree diagram
                  H                          T                               ← 1st toss

           H           T               H          T                       ← 2nd toss

     H       T    H      T       H     T    H    T                   ← 3rd toss
etc ,,, then count the combination of favorable outcomes

Using a calculator:
Total number of outcomes is 2^{7} = 128
Probability of getting exactly 3 heads is found using the follow calculator feature: binompdf(7, 0.5, 3) 

ANSWER: Typed into the calculator as follows binompdf(7,0.5,3)×128 = 35



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Zhang Lei spent $20.00 during his last outing at the bowling alley. This included a one time shoe rental fee of $3.50. He spent
Afina-wow [57]

Answer: The cost per game is $5.5

Step-by-step explanation:

Zhang Lei spent $20.00 during his last outing at the bowling alley. There is a one time shoe rental fee of $3.50. He spent the rest of the money on bowling a number of games.

This means that amount paid for x number of games = 20 - 3.5 = $16.5

If it took Zhang Lei 45 minutes to bowl each game and he spent 2 hours and 15 minutes bowling, total time spent in minutes is 120+ 15 = 135 minutes. Therefore, the number of games is played is 135/45 = 3

If the total number of games played cost 16.5, therefore, the cost per game will be 16.5/3 = $5.5

4 0
4 years ago
7x+3x+3=4x+6 what is x
vovikov84 [41]

Answer:

x = 1/2

Step-by-step explanation:

<em>Simplify the sides of the equation...</em>

<em>10x + 3 = 4x + 6</em>

<em>Subtract 3 from both sides...</em>

<em>10x = 4x + 3</em>

<em>Subtract 4x from both sides...</em>

<em>6x = 3</em>

<em>Divide by 6</em>

<em>x = 1/2</em>

<em />

<em>Thank me later :)</em>

<em>(or just give brainliest)</em>

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7 0
3 years ago
Read 2 more answers
Braxton loves downloading new music he originally had 41 songs but plans to purchase 4 new songs each week. he wants to know how
ycow [4]

Answer:

a_110=41+(110-1)4

Step-by-step explanation:

He already has songs = 41

Since we are given that he purchase four songs every week .

So, in first week he purchase songs = 4

Initially he already has 41 songs

So, total songs after 1 week = 41+(4\times1)=45

After 2 weeks he will have songs = 41+(4\times 2)=49

This forms an arithmetic sequence  : 41,45,49......

Formula of nth term in A.P. : a_n=a+(n-1)d

a = first term = 41

d = common difference = 45-41=49-45=4

Since we are required to find the new songs after110 weeks

So, n =110

Substituting values :

a_110=41+(110-1)4

Thus Option A is correct.

4 0
3 years ago
PLEASE HELP Write an equation with the smallest possible degree for the function graphed attached.
arlik [135]

Answer:

Below

Step-by-step explanation:

First we can go ahead and create a general equation for this polynomial

Here are our roots :

     x1 = - 3

     x2 = -1

     x3 = 1

Now because this function extends from quadrant 4 to 3, we know that this has been reflected in the x-axis :

     f(x) = - ( x + 3 ) ( x + 1 ) ( x - 1 )

However if we look closely you can see that the graph appears to "bounce" off certain roots. In this case it bounces off x = 1. This means that this root is an order of 2. It also has a weird looking curve on x = - 3 which means that this root is an order of 3.

Our general equation will look like this :

     f(x) = - ( x + 3 )^3 ( x - 1 )^2 ( x + 1 )

Now we need to sub in any point on the graph to solve for the <em>a </em>value. I'm just going to arbitrarily pick the y-intercept at ( 0 , -3 )

     - 3 = - a ( 0 + 3 )^3 ( 0 - 1 )^2 ( 0 + 1 )

     - 3 = - a (3)^3 (-1)^2 (1)

     - 3 = - a (27)(1)(1)

     - 3 = - a27

     1/9 = a

Here is our FINAL equation :

     f(x) = - 1/9 ( x + 3 )^3 ( x - 1 )^2 ( x + 1 )

Hope this helps! Best of luck <3

I would really appreciate a brainliest if possible :)

8 0
3 years ago
- 4( - 6x + 5) = 4 solve for x
tatiyna

Answer:

\large\boxed{x = -2/3}

Step-by-step explanation:

-4(-6x + 5) = 4

Divide both sides of the equation by -4

-6x + 5 = -1

Subtract 5 from both sides of the equation

-6x = 4

Divide both sides of the equation by -6

x = 4/-6

Simplify

\large\boxed{x = -2/3}

Hope this helps :)

6 0
3 years ago
Read 2 more answers
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