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djyliett [7]
3 years ago
14

If 3 dice are rolled at the same time, what is the probability of all 3 dice showing even face

Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0
Total possible outcomes of 3 dice = 6 x 6 x 6 = 216

Total number of ways for all 3 to show even numbers:
222
224
226
242
244
246
262
264
266
.
.
etc.    There 27 of them.

Probability = 27 / 216 = <u>1/8</u> = 12.5 percent .
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Use the data to find the interquartile range.
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Answer:

17

Step-by-step explanation:

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Ex: 1, 2, 3, 4, 5

Median = 3, so quartile 1 = median of left side of 3 and quartile 3 = median of right side of 3

First we should organize the data from least to greatest.

38 < 45 < 47 < 50 < 55<u> <</u> 58 < 60 < 64 < 70 < 71

The median is 56.5.

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64-47 = 17

<em>Hope this helps!</em>

5 0
3 years ago
Recall that in the problem involving compound interest, the balance A for P dollars invested at rate r for t years compounded n
RoseWind [281]

Answer:

(a)∴A=$6753.71.

(b)∴A=$1480.24

(c) ∴P=$7424.70

(d)∴P=$49759.62

(e)∴P=$5040.99

(f) ∴P=$2496.11

Step-by-step explanation:

We use the following formula

A=P(1+\frac rn)^{nt}

A=amount in dollar

P=principal

r=rate of interest

(a)

P=$2,500, r=5%=0.05,t =20 years , n= 4

A=\$2500(1+\frac{0.05}{4})^{(20\times 4)

   =$6753.71

∴A=$6753.71.

(b)

P=$1,000, r=8% =0.08,t =5 years , n= 2

A=\$1000(1+\frac{0.08}{2})^{(5\times 2)

   =$1480.24

∴A=$1480.24

(c)

A=$10,000, r=6% =0.06,t =5 years , n= 4

10000=P(1+\frac{0.06}{4})^{(5\times 4)}

\Rightarrow P=\frac{10000}{(1+0.015)^{20}}

\Rightarrow P=7424.70

∴P=$7424.70

(d)

A=$100,000, r=6% =0.06,t =10 years , n= 12

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\Rightarrow P=\frac{100000}{(1+\frac{0.07}{12})^{120}}

\Rightarrow P=49759.62

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(e)

A=$100,000, r=10% =0.10,t =30 years , n= 12

100000=P(1+\frac{0.10}{12})^{(30\times 12)}

\Rightarrow P=\frac{100000}{(1+\frac{0.10}{12})^{360}}

\Rightarrow P=5040.99

∴P=$5040.99

(f)

A=$100,000, r=7% =0.07,t =20 years , n= 4

100000=P(1+\frac{0.07}{4})^{(20\times 4)}

\Rightarrow P=\frac{100000}{(1+\frac{0.07}{4})^{80}}

\Rightarrow P=2496.11

∴P=$2496.11

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