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choli [55]
2 years ago
11

A die is rolled 100 times. A 1 is rolled 20 times, a 2 is rolled 14 times, a 3 was rolled 20 times, a 4 was rolled 15 times a 5

was rolled 19 times, and a 6 was rolled 12 times.
a) What is the experimental probability of rolling a 6?
b) What is the theoretical probability of rolling a 6?
Mathematics
1 answer:
Talja [164]2 years ago
4 0

Answer:

A) Experimental probability = 0.12

B) Theoretical probability = 1/6

Step-by-step explanation:

A) Experimental probability is based on the total number of times an event occurs with respect to the total outcome of the experiment in question.

Now, we are told that the die was rolled 100 times and that 6 was gotten 12 times for the 100 rolls.

Thus;

Experimental probability = 12/100

Experimental probability = 0.12

B) Theoretical probability is the number of ways that an event can occur in relation to the total outcomes.

Here, the number of ways 6 can occur is 1 and the total outcome is 6 possible due numbers.

Thus,

Theoretical probability = 1/6

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melissa is driving along a highway at a constant soeed of 65 mph. how long does it take her to travel 90 miles?
Umnica [9.8K]

Answer:

1.4 hours or 83 minutes

Step-by-step explanation:

90 mi / 65 mph = 1.4 hr

4 0
3 years ago
In a equation below, for what value of c does x=4? 1/2(2x+4)=3x-c
oksano4ka [1.4K]

Answer:

c = 6

Step-by-step explanation:

1/2 (2(4) + 4) = 3(4) - c

1/2 (8 + 4) = 12 - c

1/2 (12) = 12 - c

6 = 12 - c

-6 = -c

c = 6  

5 0
2 years ago
$13,957 is invested, part at 7% and the rest at 6%. If the interest earned from the amount invested at 7% exceeds the interest e
ch4aika [34]

Answer:

The Amount invested at 7% interest is $12,855

The Amount invested at 6% interest = $1,102  

Step-by-step explanation:

Given as :

The Total money invested = $13,957

Let The money invested at 7% = p_1  = $A

And The money invested at 6% = p_2 = $13957 - $A

Let The interest earn at 7% = I_1

And The interest earn at 6% = I_2

I_1 -  I_2 = $833.73

Let The time period = 1 year

Now,<u> From Simple Interest method</u>

Simple Interest = \dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}

Or,  I_1 = \dfrac{\textrm p_1\times \textrm 7\times \textrm 1}{100}

Or,  I_1 = \dfrac{\textrm A\times \textrm 7\times \textrm 1}{100}

And

I_2 = \dfrac{\textrm p_2\times \textrm 6\times \textrm 1}{100}

Or,  I_2 = \dfrac{\textrm (13,957 - A)\times \textrm 6\times \textrm 1}{100}

∵  I_1 -  I_2 = $833.73

So, \dfrac{\textrm A\times \textrm 7\times \textrm 1}{100} -  \dfrac{\textrm (13,957 - A)\times \textrm 6\times \textrm 1}{100} = $833.73

Or, 7 A - 6 (13,957 - A) = $833.73 × 100

Or, 7 A - $83,742 + 6 A = $83373

Or, 13 A = $83373 + $83742

Or, 13 A = $167,115

∴ A = \dfrac{167115}{13}

i.e A = $12,855

So, The Amount invested at 7% interest = A = $12,855

And The Amount invested at 6% interest = ($13,957 - A) = $13,957 - $12,855

I.e The Amount invested at 6% interest = $1,102

Hence,The Amount invested at 7% interest is $12,855

And The Amount invested at 6% interest = $1,102   . Answer

8 0
3 years ago
Really confused please help!!​
Ivenika [448]

Answer:

Step-by-step explanation:

The answer is C

Hope it helps ^^

3 0
2 years ago
Express the product of (6-2i)(-4+3i) in a+bi form
Dafna1 [17]
Multiply through the parentheses:
-24 + 18i + 8i + 6
18 + 26i

18 + 26i is the answer
8 0
2 years ago
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