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liubo4ka [24]
2 years ago
7

Pls help Giving brainlist if you help

Mathematics
1 answer:
Ad libitum [116K]2 years ago
4 0

Answer:

blank A is 9. Blank B is 41. Blank C is 18. Blank D is 24

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Sample spaces For each of the following, list the sample space and tell whether you think the events are equally likely:
Schach [20]

Answer and explanation:

To find : List the sample space and tell whether you think the events are equally likely ?

Solution :

a) Toss 2 coins; record the order of heads and tails.

Let H is getting head and t is getting tail.

When two coins are tossed the sample space is {HH,HT,TH,TT}.

Total number of outcome = 4

As the outcome HT is different from TH. Each outcome is unique.

Events are equally likely since their probabilities \frac{1}{4} are same.

b) A family has 3 children; record the number of boys.

Let B denote boy and G denote girl.

If there are 3 children then the sample space is

{GGG,GGB,GBG,BGG,BBG,GBB,BGB,BBB}

The possible number of boys are 0,1,2 and 3.

Number of boys      Favorable outcome    Probability

           0                      GGG                        \frac{1}{8}

           1                    GGB,GBG,BGG          \frac{3}{8}

           2                   GBB,BGB,BBG           \frac{3}{8}

           3                       BBB                         \frac{1}{8}

Since the probabilities are not equal the events are not equally likely.

c)  Flip a coin until you get a head or 3 consecutive tails; record each flip.

Getting a head in a trial is dependent on the previous toss.

Similarly getting 3 consecutive tails also dependent on previous toss.

Hence, the probabilities cannot be equal and events cannot be equally likely.

d) Roll two dice; record the larger number

The sample space of rolling two dice is

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now we form a table that the number of time each number occurs as maximum number then we find probability,

Highest number        Number of times         Probability

           1                                   1                     \frac{1}{36}

           2                                  3                    \frac{3}{36}

           3                                  5                    \frac{5}{36}

           4                                  7                    \frac{7}{36}

           5                                  9                    \frac{9}{36}

           6                                  11                    \frac{11}{36}

Since the probabilities are not the same the events are not equally likely.

4 0
3 years ago
What is the decimal for the fraction 22/4
fenix001 [56]

The decimal for this fraction is 5.5

7 0
3 years ago
Read 2 more answers
A hot air balloon goes 350 feet into the air and drifts to the east for 600 feet. How far is the balloon away from its launch po
Kamila [148]

Answer:

950 feet

Step-by-step explanation:

350+600=950

4 0
2 years ago
Seven people can paint a bridge in 15 days.
Aleksandr [31]

Answer:

a) 3 people will need 35 days to paint the bridge

b) p=105/t

Step-by-step explanation:

a)

We have 7 people each one is to work 15 days, so the bridge needs a total of 7(15) days of work

7(15)=105

Then we have 3 people each one is to work t days, altogether should do a total of 105 days of work

3(t)=105

Solve for t

t=35

b)

Substitute p for 3 in the second equation

p(t)=105

Solve for p

p=105/t

8 0
3 years ago
Does anyone know a math equation using the distributive property that equals 15
Lubov Fominskaja [6]

Answer:

3(5)=x

Explenation:

3*5 is equal to 15

5 0
2 years ago
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