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
aleksley [76]
3 years ago
10

If the probability of an event is 2/7, what must be the probability of its complement?

Mathematics
2 answers:
RoseWind [281]3 years ago
4 0

Answer:

\frac{5}{7}

Step-by-step explanation:

Let

x------->the probability of its complement

we know that

The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1

so

in this problem

\frac{2}{7}+x=1

solve for x

Adds -\frac{2}{7} both sides

x=1-\frac{2}{7}

x=\frac{5}{7}

hichkok12 [17]3 years ago
3 0
Which one is it 5/7 or 2/7
You might be interested in
URGENT: Find the value of X
adell [148]

Answer:

72x

Step-by-step explanation:

6 0
3 years ago
Hi so here is my quiestion in which number dose the 5 represent a value 10 times the value represented by the 5 in 35,187 so any
rosijanka [135]

Answer:

Step-by-step explanation:

The wording is a bit wonky, but

The value of the 5 in 35187 is 5000

Ten times that value is 10(5000)=50000

So in the number 50000, the 5 represents 10 times the value of 5 in 35187.

7 0
3 years ago
Latex-free gloves can be purchased in a box of 100 for $44.95 or a box of 50 for $23.50. Which one would be the better deal
8090 [49]
I believe that a box of 50 for $23.59 would be a better deal because 23.50 divided by 50 would equal 0.47, or in this case, 47 cents. 44.95 divided by 100 equals 0.4495, or 4495 cents. I think I'm wrong, but you can take this answer if you'd like
6 0
3 years ago
Which property justifies this r(s + t) = rs + rt<br> statement
Law Incorporation [45]
R(s+t) = rs + rt represents Distributive Property because r is multiplying s and t
i.e. ( r*s + r*t ) 
    = rs + rt

So correct answer is Distributive Property.

hope this helps  :)
8 0
3 years ago
Read 2 more answers
The mean weight of an adult is 69 kilograms with a variance of 121. If 31 adults are randomly selected, what is the probability
amid [387]

Answer:

0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Also, important to remember that the standard deviation is the square root of the variance.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 69, \sigma = \sqrt{121} = 11, n = 31, s = \frac{11}{\sqrt{31}} = 1.97565

What is the probability that the sample mean would be greater than 70.5 kilograms?

This is 1 subtracted by the pvalue of Z when X = 70.5. So

Z = \frac{X - \mu}{\sigma}

By the Central limit theorem

Z = \frac{X - \mu}{s}

Z = \frac{70.5 - 69}{1.97565}

Z = 0.76

Z = 0.76 has a pvalue of 0.7764

1 - 0.7764 = 0.2236

0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.

8 0
3 years ago
Other questions:
  • A local drive in theatre sells entrance tickets for cars on weekends night. at capacity , the drive in can hold 72 cars . the fu
    14·2 answers
  • To which sets of numbers does −14 belong?
    15·1 answer
  • Tom buys a pen holder for $5 and 10 pens for $1 each. The sales tax for the whole purchase is $3.
    15·2 answers
  • Can y’all help pls jfhzfhR
    13·1 answer
  • What are the following solutions to the inequality -7x+14&gt;-3x-6 select all that apply
    7·1 answer
  • The show has a large display board where visitors are encouraged to pin up their own instant camera pictures, taken during the e
    7·1 answer
  • Does the median of a data set have to be a value of the data set? Explain
    7·2 answers
  • 6 divided by 6 minus 4 times 3
    6·2 answers
  • What is the answer ​
    13·1 answer
  • ASAP PLSSSSSSS I NEED HELP WITH EXAMPLE 2
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!