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
anyanavicka [17]
2 years ago
5

A class tossed coins and recorded 165 heads and 172 tails. What is the experimental probability of tails?

Mathematics
2 answers:
Lorico [155]2 years ago
8 0

Answer:

Probability of tails = 0.51

Step-by-step explanation:

Probability is the ratio of number of favorable outcome to the total number of outcomes.

Total number of outcomes = Total number of heads + Total number of tails

                                              = 165 + 172 = 337

Number of favorable outcome = Total number of tails = 172

\texttt{Probability}=\frac{172}{337}=0.51  

Nata [24]2 years ago
5 0
165+172=337

172/337 is the experimental probability of tails.

Hope this helps!
You might be interested in
9 + 22 = x + 1<br><br> HALPP
rosijanka [135]

Hey!

-------------------------------------------------

Solution:

9 + 22 = x + 1

9 + 22 - x = x + 1 - x

31 - x = 1

31 - x  31 = 31 - 1

x = 30

-------------------------------------------------

Answer:

x = 30

-------------------------------------------------

Hope This Helped! Good Luck!

4 0
3 years ago
Read 2 more answers
Find the area using the given image.
ArbitrLikvidat [17]

Answer:

4.

Step-by-step explanation:

Area = 1/2 * base + height

= 1/2 * 2 * 4

= 4 unit^2.

3 0
2 years ago
Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is
Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

5 + 7 = 12 total fruits, which means that N = 12

7 apples, which means that k = 7

You receive 2 fruits, which means that n = 2

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0
3 years ago
One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p
scZoUnD [109]

Answer:

c^2 = 9dp

Step-by-step explanation:

Given

dx^2 + cx + p = 0

Let the roots be \alpha and \beta

So:

\alpha = 2\beta

Required

Determine the relationship between d, c and p

dx^2 + cx + p = 0

Divide through by d

\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0

x^2 + \frac{c}{d}x + \frac{p}{d} = 0

A quadratic equation has the form:

x^2 - (\alpha + \beta)x + \alpha \beta = 0

So:

x^2 - (2\beta+ \beta)x + \beta*\beta = 0

x^2 - (3\beta)x + \beta^2 = 0

So, we have:

\frac{c}{d} = -3\beta -- (1)

and

\frac{p}{d} = \beta^2 -- (2)

Make \beta the subject in (1)

\frac{c}{d} = -3\beta

\beta = -\frac{c}{3d}

Substitute \beta = -\frac{c}{3d} in (2)

\frac{p}{d} = (-\frac{c}{3d})^2

\frac{p}{d} = \frac{c^2}{9d^2}

Multiply both sides by d

d * \frac{p}{d} = \frac{c^2}{9d^2}*d

p = \frac{c^2}{9d}

Cross Multiply

9dp = c^2

or

c^2 = 9dp

Hence, the relationship between d, c and p is: c^2 = 9dp

8 0
3 years ago
Find the ratio that is equivalent to 10:5.<br> OA) 15:5<br> OB) 5:10<br> OC) 2:1<br> OD 5:1
Vesnalui [34]

Answer:

OB) 2:1

Step-by-step explanation:

5 can go into 10 twice and 5 can go into itself once

6 0
3 years ago
Read 2 more answers
Other questions:
  • How do you portion 24 into 4 equal groups?
    11·2 answers
  • What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 90 degrees
    12·2 answers
  • If a 25 ft rope is cut into two sections with one section 4 times as long as the other section, how long is the shorter piece?
    13·1 answer
  • Find the greatest common factor of 24 and 76_______________________
    6·2 answers
  • Find the range 4.7 6.3 5.4 3.2 4.9
    12·1 answer
  • it takes kenny 25 minutes to inflate the tires of 55 bicycles how long will it take him to inflate the tires of 121 bicycles
    6·2 answers
  • Pls answer its khan academy I really need it
    10·1 answer
  • Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she sees the third mi
    6·1 answer
  • Hope has of an hour to play outside and do her homework. She wants to split her time equally between the twe activities much tim
    7·2 answers
  • 17 students on the math team want to raise 483.62 to buy practice books they have already raised 218.25 if each students raises
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!