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Umnica [9.8K]
3 years ago
5

Suppose you tossed three coins for 16 trials. How many times would you expect

Mathematics
1 answer:
horsena [70]3 years ago
7 0
At least 1/16 times
You might be interested in
Identify the graph of the inequality 2(2x-1)+7<13 or-2x + 5≤-10.
xxMikexx [17]

Answer:

Step-by-step explanation:

2

(

2

x

−

1

)

+

7

<

13

Expand LHS

→

4

x

−

2

+

7

<

13

4

x

+

5

<

13

4

x

<

13

−

5

4

x

<

8

Divide through by

4

→

x

<

2

x

<

2

is represented on the real line by the interval

(

−

∞

,

2

)

This can be represented on the

x

y

−

plane by the area to the left of the vertical line

x

=

2

as graph below.

graph{2(2x-1)+7<13 [-10, 10, -5, 5]}

5 0
1 year ago
Of the 240 sandwiches Joanna makes 20% are tuna sandwiches and 40% are jam sandwiches, and the rest are egg salad sandwiches.How
nikitadnepr [17]
240 = 100%
so 10% = 24 sandwiches 
all - (tuna) - (jam) = egg
100% - 20% - 40% = 40%
40% = 10%*4
40% = 24*4 = 96

the answer is 96 egg salad sandwiches
4 0
3 years ago
HELP!! I'm not sure what goes in the blank.
natta225 [31]

Answer:

10sin^{2} (β)

Step-by-step explanation:

We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10sin^{2} (β) on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10sin^{2} (β).

You can also use double angle formulas from the previous step:

(sin(2β) = 2 sin(β) cos(β))and find that:

5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =

10sin^{2} (β) cos(β)

But since cos(β) is already present, we can see that the answer is 10sin^{2} (β)

4 0
2 years ago
Show your work<br> −17x = −204
pishuonlain [190]
You would divide -204 divide it by -17 and you would get 12
X=12
6 0
2 years ago
The function of f(x) = 3x + 2 has a domain of -3 &lt; x &lt; 5. What is the domain of f-1(x)?
Flura [38]
<h3>Answer:    -7 < x < 17</h3>

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse f^{-1}(x)

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

6 0
3 years ago
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