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3 years ago

What is the probability that the number of “HEADs” on these four coins is equal to 3? (4 points)

Mathematics

1 answer:

slavikrds [6]3 years ago

5 0

Answer:

a. $\frac{1}{4}$

Step-by-step explanation:

We are asked to find the probability of getting 3 heads on 4 flips.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

Since we know that flipping a fair coin has 2 equally likely possible outcomes, so flipping four coins will have $2*2*2*2=16$ possible outcomes.

Sample space of possible outcomes.

HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT,

THHH, THHT, THTH,THTT, TTHH, TTHT, TTTH, TTTT.

We can see that there are 4 favorable outcomes of getting heads.

$\text{Probability of getting 3 heads}=\frac{4}{16}$

$\text{Probability of getting 3 heads}=\frac{1}{4}$

Therefore, the probability of getting 3 heads on 4 coins will be $\frac{1}{4}$ and option a is the correct choice.

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A bex contains 5 plain pencis and 5 pens. A second box contains 5 color pencils and 3 crayons. One item from each box is chosen

timama [110]

Answer:

x=16 pens

Step-by-step explanation:

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3 years ago

If the measure of angle ABF=6x+26 and the measure of angle EBF=2x9 and measure of angle ABE= 11x-31 find the measure of angle AB

Hunter-Best [27]

Its not clearly given that whether EBF = 2x + 9 or 2x - 9.

I have written the solution for both.

If EBF = 2x + 9,

then ABF = 6x + 26 and ABE = 11x - 31.

Now, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x + 9)

= (6x + 2x) + (26 + 9)

= 8x + 35

11x - 8x = 35 + 31

3x = 66

x = 22

Therefore, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°

If EBF = 2x - 9,

then ABF = 6x + 26 and ABE = 11x - 31.

Now, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x - 9)

= (6x + 2x) + (26 - 9)

= 8x + 17

11x - 8x = 17 + 31

3x = 48

x = 16

Therefore, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°

4 0

3 years ago

In 2000, the mayo clinic conducted a study of whether air dryers eliminate more germs than paper towels. researchers recruited 1

WARRIOR [948]

Answer:

This is an observational study based on a stratified sample.

Step-by-step explanation:

This study aimed to check which clean-up/drying up method after handwashing was more effective; that is, do dryers eliminate more germs than paper towels.

It involved 100 people that took part in the study. The 100 of them contaminated their hands and were instructed to wash their hands with soap and water for 15 seconds before the participants are randomly grouped into two strata; one stratum/group (consisting of 50 participants) that dries their hands with a dryer and another (also consisting of 50 participants) that dry their hands with paper towels.

An observational study is one in which data is collected only by monitoring the events of the study. The conductor of the study in no way tries to intervene or control any of the variables being studied. No control, no tweaking of factors, just observe and record data.

An observational study based on a stratified sample is an observational study that uses the stratified sampling method to carry out its objectives. It randomly puts each of the participants being observed into groups or strata. Each group of randomly assigned participants are then required to run the test for one of the variables being compared.

This is exactly what the study in the question describes. This is why this study is undoubtedly an observational study based on a stratified sample.

Hope this Helps!!!

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3 years ago

The dot plot below shows the number of dogs in neighborhood houses: A dot plot with integers 1 to 5 is shown. It is labeled Dogs

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Answer:

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