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ExtremeBDS [4]
3 years ago
15

A person rolled a dice 6000 times and the number '5' occurs 990 times. On the basis of this outcome, she claims that the probabi

lity that '5' shows up on the dice is 990/6000. Is this an example of an empirical probability or a theoretical probability
Mathematics
1 answer:
REY [17]3 years ago
3 0

Answer:

Empirical probability

Step-by-step explanation:

An empirical probability also known as experimental probability is the ratio of the number of outcomes in a trial/experiment of a specific event to the total number of trials.

Theoretical probability is probability based on reasoning not experiment.

Since an experiment was carried out 6000 times to determine the number of times 5 shows up, its an empirical probability.

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Solve the inequality. 4(x – 3) – 2x ≥ 5 – (x + 2)
Sidana [21]
4(x-3)-2x\geq5-(x+2)\\\\4x-12-2x\geq5-x-2\\\\2x-12\geq3-x\ \ \ \ /+12\\\\2x\geq15-x\ \ \ \ /+x\\\\3x\geq15\ \ \ \ /:3\\\\x\geq5\\\\x\in\left< 5;\ \infty\right)
3 0
4 years ago
Read 2 more answers
(-10m^4n^7)(-3m^4n)<br><br> the answer should be a simplified monomial
Brilliant_brown [7]

(-10m^4n^7)(-3m^4n)

= -10*-3 m^4*m^4 * n^7* n^1

= 30m^8n^8


3 0
3 years ago
If Free Yer Assets Bank (FYAB) will give you 0.25% compounded quarterly and I.M.A.Q.T.π bank will give you 0.23% interest compou
ivann1987 [24]

Answer:

FYAB gives a better deal.

Step-by-step explanation:

Compound interest:

A = P(1 + \dfrac{r}{n})^{nt}

Continuously compounded interest:

A = Pe^{rt}

For the quarterly compounded interest, r = 0.25%, and n = 4.

2P = P(1 + \dfrac{0.0025}{4})^{4t}

1.000625^{4t} = 2

\log (1.000625^{4t}) = \log 2

4t(\log 1.000625) = \log 2

t = \dfrac{\log 2}{4\log 1.000625}

t = 277

For the continuously compounded interest, r =0.23%

A = Pe^{rt}

2P = Pe^{0.0023t}

2 = e^{0.0023t}

\ln 2 = \ln e^{0.0023t}

\ln 2 = 0.0023t

t = \dfrac {\ln 2}{0.0023}

t = 301

The quarterly compounded doubles in 277 years.

The continuously compounded doubles in 301 years.

Answer: FYAB gives a better deal.

7 0
3 years ago
A recipe for French toast that serves 6 calls for 3/4 cup granulated sugar, 1 cup of evaporated milk, 1/3 teaspoon of vanilla, a
maxonik [38]
To serve 3 you half the recipe so divide each number by 2

3/4 cup/2 = 3/8 cup granulated sugar

1 cup/2 = 1/2 cup of evaporated milk

1/3teaspoon/2 = 1/6 teaspoon of vanilla

12 slices/2 = 6 slices of French bread


3 0
3 years ago
Write the interval (5,100] as an inequality and using set notation
drek231 [11]

Answer: { x | 5 < x ≤ 100 }  OR  { x ∈ ℝ | 5 < x ≤ 100 }

Step-by-step explanation:

{ x | 5 < x ≤ 100 }

This means:

"The set of all x's, such that x is greater than 5 and less than or equal to 100"

Another acceptable way to write this is

{ x ∈ ℝ | 5 < x ≤ 100 }

"x ∈ ℝ" simply means x is an element of all real numbers

7 0
3 years ago
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