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vesna_86 [32]
2 years ago
12

We will flip a balanced coin 3 times and for each toss, record whether we get a Head or a Tail. Write all possible outcomes of t

his experiment to find the probability that we get exactly 2 heads. Group of answer choices
Mathematics
1 answer:
VMariaS [17]2 years ago
4 0

Answer:

probability to get exactly 2 heads when flipped a balanced coin 3 times is 3/8 = 0.375 (37.5%)

Step-by-step explanation:

Denoting H as head and T as tails , then in 3 flips there are 2³=8 possible outcomes.

the possible outcomes in 3 flips are

H , H , H

H , H , T

H , T , H

H , T , T

T , H , H

T , H , T

T , T , H

T , T , T

then there are 3 outcomes out of 8 where there are exactly 2 heads ( 2 heads with the tails in the 3 different places possible)

then the probability to get exactly 2 heads when flipped a balanced coin 3 times is 3/8 = 0.375 (37.5%)

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2. A computer shop charges P20.00 per hour (or a fraction of an hour) for the first
Misha Larkins [42]

Answer:

(a) For 40 minutes the charge is P20.00

(b) For 3 hours the charge is P30.00

(c) For 150 minutes the charge is P30.00

Step-by-step explanation:

The given parameters are;

The amount the computer shop charges for the first two hours = P20.00

The amount the computer shop charges for a fraction of an hour = P20.00

The amount the computer shop charges for each extra hour = P10.00

Therefore, the amount the computer shop will charge for each time, is given as follows;

(a) For 40 minutes, we have;

The duration of 40 minutes is less than two hours, therefore, the amount the computer shop will charge = P20.00

(b) For a duration of 3 hours, the amount the computer shop will charge is given by the following relation

The amount charged for the first two hours = P20.00

The amount charged for the next extra hour to make 3 hours = P10.00

The total amount charged for the 3 hours = P20.00 + P10.00 = P30.00

(c) For a duration of 150 minutes, we have;

150 minutes =  2 hours 30 minutes

Therefore, the amount charged will be equivalent to the amount charged for 3 hours or P20.00 + P10.00 = P30.00.

4 0
2 years ago
Which equation is the inverse of (x minus 4) squared minus two-thirds = 6y minus 12?
mario62 [17]

Answer:

The correct option is option B.

Step-by-step explanation:

The given function is

(x - 4)^{2} - \frac{2}{3} = 6y - 12

We can rearrange the function as

(x - 4)^{2} - \frac{2}{3} = 6y - 12

⇒ 3(x - 4)² - 2 = 18y - 36

⇒ 3(x - 4)² = 18y - 34

⇒ (x - 4)^{2} = 6y - \frac{34}{3}

⇒ x - 4 = \pm \sqrt{6y - \frac{34}{3}}

⇒ x = 4 \pm \sqrt{6y - \frac{34}{3}}

Therefore, the inverse function will be, y = 4 \pm \sqrt{6x - \frac{34}{3}}

Therefore, the correct option is option B. (Answer)

7 0
2 years ago
Read 2 more answers
If the probability is 0.54 that Stock A will increase in value during the next month and the probability is 0.68 that Stock B wi
Aloiza [94]

P(A) =0.54

P(B)= 0.68

P'(A)= 1-0.54 = 0.46

P'(B)= 1- 0.68 = 0.32

The probability of neither of both event will occur:

= P'(A)×P'(B)

=0.46 × 0.32

=0.1472

3 0
2 years ago
My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter. How many
andre [41]

Answer:

Given that,

My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter.

Therefore, 1 whole sticks of butter is enough to make $100$ cupcakes.




8 0
2 years ago
Read 2 more answers
A cement bridge post is 24 inches square and 15 feet 9 inches in length. If the cement weighs 145 pounds per cubic foot, how muc
lisov135 [29]

Answer:

The answer is option (C), One cement bridge post weighs 9,135 pounds

Step-by-step explanation:

Step 1: Get the total volume of a cement bridge post

The cement bridge post is in the shape of a cuboid, therefor the volume of the cement bridge post can be expressed as;

Volume of cement bridge post=Base area×Length

where;

Base area=(24^2) inches square

1 foot=12 inches

Convert 24 inches to foot=24/12=2^2=4 feet²

Length=15 feet and 9 inches

1 foot=12 inches

Convert 9 inches to foot=9/12=0.75 feet

Total length=(15+0.75)=15.75 feet

replacing;

Volume of cement bridge post=(4×15.75)=63 cubic feet

Volume of cement bridge post=63 cubic feet

Step 2: Get the total weight of the cement bridge post

Total weight of the cement bridge post=Weight per cubic foot×total volume of the cement bridge post

where;

Weight per cubic foot=145 pounds per cubic foot

Total volume of the cement bridge post=63 cubic feet

replacing;

Total weight of the cement bridge post=(145×63)=9,135 pounds

One cement bridge post weighs 9,135 pounds

8 0
2 years ago
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