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Anit [1.1K]
3 years ago
5

A coin is tossed 10 times resulting in 7 heads and 3 tails. The same coin is tossed 1000 times resulting in 510 heads and 490 ta

ils. What is the theoretical probability of getting heads with this coin?
A. 51%
B. 70%
C. 50%
D. 49%
Mathematics
1 answer:
KiRa [710]3 years ago
8 0
The answer is <span>C. 50%.

The theoretical probability has nothing to do with the experiments. So, we will forget results of the experiment and think about theoretical probability. A coin has two sides - head and tail. The probability to get head is 1/2 = 0.5 = 50%. This is because if you toss the coin and you get head, head is one probability of two probability in total (head and tail). The same situation is with tail. Tail is .</span><span>one probability of two probability in total (head and tail).</span>
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Find the missing values in each row. Use the percent equation. A: Principal: $100 Interest rate: 5% Time in years: 3 Interest ea
ANEK [815]

Answer:

A.) 15

B.) 1 year

C.) $50

D.) 1.5%

Step-by-step explanation:

The percentage equation goes thus:

Interest earned = principal * rate * time

A)

Principal: $100 Interest rate: 5% Time in years: 3 Interest earned

Interest earned = $100 * 0.05 * 3

Interest earned = $15

B.)

Principa;" $500 Interest rate: 4% Time in years: interest earned: $20

Interest earned = principal * rate * time

20 = 500 * 0.04 * time

20 = 20 * time

Time = 20 / 20 = 1

Time = 1 year

C.)

Principal: Interest rate:10% Time in years: 7 Interest earned:$35

Interest earned = principal * rate * time

$35 = principal * 0.1 * 7

$35 = principal * 0.7

Principal = $35 / 0.7

Principal = $50

D.)

Principal: $200 Interest rate: Time in years:2 Interest earned: $6

Interest earned = principal * rate * time

$6 = $200 * rate * 2

$6 = $400 * rate

Rate = $6/$400

Rate = 0.015 = 1.5%

7 0
3 years ago
Yellow Taxi Cabs charges a $7 flat rate in addition to $2.25 per mile. Kate has $100 to spend on transportation. How many miles
enyata [817]
Kate can travel 41.33 miles without exceeding her limit. This problem can be solved by using y = 2.25x  + 7 linear equation with the "y" variable as the total cost that Kate must pay after she has traveled with the cab and the "x" variable as Kate's traveling distance. The equation has 7 for its constant value which is the $7 flat rate. We will find 41.33 miles as the traveling distance if we substituted the total cost with 100, which is the maximum amount that can be paid by Kate for the traveling purpose.
7 0
3 years ago
Rewrite as a simplified fraction. 2. 14 ‾ = ?
SOVA2 [1]

Answer:

1/7

Step-by-step explanation:

- I can't really tell what the fraction you have is, I am assuming it is 2/14. If that is correct, simplify by finding a common number.

- Ask yourself, what can both be divided by? (Answer is 2)

- Knowing both simplify by 2, divide the numerator (top) and denominator (bottom) by 2.

- You should get 1/7 (2/2 = 1 and 14/2 = 7)

- If you have any further questions on this topic please let me know. I would be glad to help anytime!

6 0
3 years ago
Barney's Book Store currently has 2000 books in stock. There are 3 times as many non-fiction books as fiction books. Determine t
xxMikexx [17]

Answer:

There are 1500 non fiction books and 500 fiction books currently in the store.

Step-by-step explanation:

Given:

Total Number of books = 2000

Let the number of fiction books be 'x'.

Now given:

There are 3 times as many non-fiction books as fiction books.

Number of non fiction books = 3x

We need to find the number of non-fiction and fiction books.

Solution:

Now we know that;

Total Number of books is equal to sum of the number of non-fiction and fiction books.

framing in equation form we get;

x+3x=2000\\\\4x=2000

Dividing both side by 4 we get;

\frac{4x}{4}=\frac{2000}{4}\\\\x= 500\ books

Number of fiction books = 500

Number of non fiction books = 3x=3\times 500 =1500

Hence There are 1500 non fiction books and 500 fiction books currently in the store.

8 0
3 years ago
I need the top one plzzzz thankkk uuuu
MrMuchimi
Cubic inches is 24,429
4 0
2 years ago
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