1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alex41 [277]
3 years ago
11

What is the probability of flipping a coin 7 times and getting heads 5 times? Round your answer to the nearest tenth of a percen

t.
Mathematics
1 answer:
N76 [4]3 years ago
6 0
For a fair coin,
Probability of a head, P(H) = 1/2 = 0.5
Probability of a tail , P(T) = 1/2 = 0.5
The number of possible outcomes is small enough to simply list the outcome:
The possible outcomes of flipping a coin 7 times and getting heads 6 times are these 7 possibilities:
THHHHHH
HTHHHHH
HHTHHHH
HHHTHHH
HHHHTHH
HHHHHTH
HHHHHHT
The probability of EACH of the above outcomes is
= (0.5)(0.5)(0.5)(0.5)(0.5)(0.5)(0.5)
= (0.5)⁷
Since there are 7 possibilities and since the probabilities of every outcome is identical, the probability of rolling the 7 outcomes is,
= 7 x probability of each outcome
= 7 x (0.5)⁷
= 0.5468
= 5.468%
= 5.5% (nearest tenth)
You might be interested in
A jacket is on sale for 20% off the regular price. The sale price is $50.00. What is the regular price of the jacket?
Likurg_2 [28]
So it is essentially 80% of the original price , so what i would do is divide it by 8 and then times it by 10 to get the original price , in this case it will be 50/8 (6.25) and then times 6.25 by 10 which will give you the original price of $62.50<span />
7 0
3 years ago
Read 2 more answers
Henry had $24.12. His friend Greg had one-
Daniel [21]

Answer: $42.21

Step-by-step explanation:

Henry; $24.12

Gregg; $24.12 / 2= $12.06

Kasey; $ 24.12 / 4= $6.03

$24.12 + $12.06 + $6.03

6 0
3 years ago
Resiprocal of (-3/7)^2!​
USPshnik [31]

Answer:

\frac{49}{9}

Step-by-step explanation:

Given

(\frac{-3}{7})^{2!}

Required

Determine the reciprocal

If a number is x, the reciprocal is: 1/x

So, the reciprocal of (\frac{-3}{7})^{2!} is:

\frac{1}{(\frac{-3}{7})^{2!}}

2! = 2*1 =2

So, we have:

\frac{1}{(\frac{-3}{7})^{2}}

\frac{1}{(\frac{-3^{2}}{7^{2}})}

Evaluate all exponents

\frac{1}{(\frac{9}{49})}

Take inverse of 9/49

\frac{49}{9}

Hence, the reciprocal of (\frac{-3}{7})^{2!} is \frac{49}{9}

5 0
3 years ago
Which answers are examples of deductive reasoning?
Mariulka [41]

Answer:

The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today.

The radius of a circle is one-half the length of the diameter of a circle. The diameter of a circle is 10 ft. Therefore, the radius of the circle is 5 ft.

Step-by-step explanation:

Deductive reasoning or deduction, is one of the two basic types of logical inferences. A logical inference is a connection from a first statement to a second statement for which the rules of logic show that if the first statement is true, the second statement should be true. Basically one logical statement defines the base of the argument to reach the conclusion.

Here we can see that in first case:

The fair charges $5 for admission, so we know the fact that it charges $5 for the admission, now whoever goes to the fair will have to spend $5 to get in. Tom is going to the fair so Tom will spend$5 for admission to the fair. Therefore, this statement is deductive reasoning.

Case 2:

The radius of a circle is one-half the length of the diameter, this sentence is a fact. Now the diameter of a circle is 10ft so it is obvious that based on the previous sentence we will calculate the radius of the circle that is half of the diameter.

So only these two examples are based on deductive reasoning.

3 0
3 years ago
Read 2 more answers
Suppose 250 randomly selected people are surveyed to determine if they own a tablet. Of the 250 surveyed, 98 reported owning a t
SashulF [63]

Answer:

The true proportion for the population would be between 0.386 and 0,398 (0.392±0.06) in 95% confidence level.

Step-by-step explanation:

Confidence interval for true population proportion can be computed as p±ME where

  • p is the sample proportion ( \frac{98}{250}=0.392)
  • ME is the margin of Error from the mean

and margin of error (ME) can be found using the formula

ME=\frac{z*\sqrt{p*(1-p)}}{\sqrt{N} } where

  • z is the corresponding statistic in 95% confidence level (1.96)
  • p is the sample proportion ( \frac{98}{250}=0.392)
  • N is the sample size (250)

Using the numbers

ME=\frac{1.96*\sqrt{0.392*0.608}}{\sqrt{250} } ≈ 0.06

Then the true proportion for the population would be p±ME = 0.392±0.06 in 95% confidence level.

6 0
3 years ago
Other questions:
  • Anyone know this? <br> Only answer #4 please
    7·1 answer
  • Can someone help me with this question? It's related to equations.
    14·1 answer
  • Using the graph below, identify 2 solutions to the inequality y&lt;-3/2x+2
    5·1 answer
  • The value of 8 in 5.18 is. of the value of 8 in 5.81
    12·2 answers
  • Peter elf had 149 presents
    6·1 answer
  • I neep help please A.S.A.P
    5·1 answer
  • Ultra Sports Club charges $20 plus $60 per month. Workout Now charges $200 plus $45 per month. After how many months will the fe
    13·1 answer
  • Which r-value represents the strongest correlation? PLs answer , worth 25
    12·2 answers
  • Which expression results in the smallest difference?
    5·1 answer
  • Use the Substitution Method, what is the point of intersection for the following system:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!