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Serga [27]
3 years ago
5

A coin is being flipped 400 times. What is the probability of it landing on heads at most 170 times, rounded to the nearest tent

h of a percent?
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
8 0

Hello!

We have two probabilities we can use; we have 170/400, for our experiment, and 1/2, which is our theoretical probability.

To solve, we just multiply the two probabilities.

\frac{170}{400}(1/2)=0.2125≈21.3

Therefore, we have about a 21.3% chance of this event occurring.

I hope this helps!

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What is the third quartile, Q3, of the following distribution?
GREYUIT [131]

Answer:

The third quartile is:

Q_3=29

Step-by-step explanation:

First organize the data from lowest to highest

4, 5, 10, 12, 14, 16, 18, 20, 21, 21, 22, 22, 24, 26, 29, 29, 33, 34, 43, 44

Notice that we have a quantity of n = 20 data

Use the following formula to calculate the third quartile Q_3

For a set of n data organized in the form:

x_1, x_2, x_3, ..., x_n

The third quartile is  Q_3:

Q_3=x_{\frac{3}{4}(n+1)}

With n=20

Q_3=x_{\frac{3}{4}(20+1)}

Q_3=x_{15.75}

The third quartile is between x_{15}=29 and x_{16}=29

Then

Q_3 =x_{15} + 0.75*(x_{16}- x_{15})

Q_3 =29 + 0.75*(29- 29)\\\\Q_3 =29

5 0
3 years ago
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Solve the equation or formula for the indicated variable.
alex41 [277]
Subtract 3 both sides first. R-3=ts²

next, divide both sides by t, (R-3)/t=s²

finally, take the square root of both sides

√(R-3)/t = s. 2nd choice.
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Answer:

Step-by-step explanation:

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8 0
2 years ago
Darin can purchase tile at a store for 0.79 per tile and rent a tile saw for $24. At another store, he can borrow the tile saw f
ankoles [38]
Let us denote the number of tiles by T.

In the first store, if Darin bought T tiles, he would need to spend:
                        0.79\times T+24 (measured in $)

In the second store, if Darin bought T tiles, he would need to spend:
                        1.19\times T (measured in $)

For the cost to be the same at both stores, it means (measured in $)
                                           1.19T=0.79T+24

Moving 0.79T over to the left hand side and changing signs:
                                            1.19T-0.79T=24
                                            0.4T=24
                                            T= \frac{24}{0.4}
                                            T=60 tiles

Let's check. If he buys 60 tiles in the first store, he spends:
                              $0.79×60 + $24 = $47.40 + $24 = $71.40

If he buys 60 tiles in the second store, he spends:
                                               $1.19×60 = $71.40

∴ Darin needs to buy 60 tiles for the cost to be the same at both stores.
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