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
ankoles [38]
3 years ago
14

A recent survey found that 70% of all adults over 50 wear

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

Answer:

There is an 84.97% probability that at least six wear glasses.

Step-by-step explanation:

For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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

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

And p is the probability of X happening.

In this problem we have that:

n = 10, p = 0.7

What is the probability that at least six wear glasses?

P(X \geq 6) = P(X = 6) + `P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.8497

There is an 84.97% probability that at least six wear glasses.

You might be interested in
Lisa takes 3 hours to mow the lawn, while her cousin, Barb, takes 2 hours. How long will it take them working together?
Colt1911 [192]

Answer:6 hours

Step-by-step explanation:

3x2=6

5 0
3 years ago
Read 2 more answers
Find the average rate of change of the function between the given values of x. y = 9+ 5x + 0.5x2 between x = 2 and x = 4.
svet-max [94.6K]

Answer:

The average rate of change is 8.

Step-by-step explanation:

The formula to calculate the average rate of change of a function F(x) is:

\frac{F(b)-F(a)}{b-a}

In this case, F(x) = 0.5x^{2} +5x+9

a=2 and b=4

You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.

In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:

F(b) = (0.5)4^{2} + 5(4) +9= 37

F(a) = (0.5)2^{2} + 5(2)+9=21

\frac{F(b)-F(a)}{b-a} = \frac{37-21}{4-2}=\frac{16}{2} = 8

The answer is 8.

3 0
2 years ago
What are the dimensions of the rectangle shown on the coordinate pane?
Igoryamba

Answer:

The answer is C

Step-by-step explanation:

Count the height from bottom to up of the box, its 4 units so height is 4, then count from the side, its 10 boxes so its C, 10 and 4.

8 0
3 years ago
Ryleigh received a $50 gift card to the frozen yogurt shop for her birthday. The shop sells yogurt sundaes for $4 and yogurt con
timama [110]
The answer is D because the shaded area must go to the origin and it must have a non-dashed line because having 5 sundaes and 10 cones is possible.

9 0
3 years ago
Read 2 more answers
The diameter of a circle measures 24ft. What is the circumference of the circle? Use 3.14 for pie , and do not round your answer
dexar [7]

Answer:

75.36

Step-by-step explanation:


5 0
3 years ago
Other questions:
  • If you mutiply 5000 and 1000000 how much would you get?
    8·2 answers
  • Idk get points or smth i dont need help anymore besides maybe mental help.
    11·1 answer
  • Ann will run less than 26 miles this week. So far, she has run 15 miles. What are the possible numbers of additional miles she w
    7·1 answer
  • Which fraction is equivalent to 0.3636?
    8·2 answers
  • Simple equation with division that equals 8
    5·2 answers
  • the first three terms of the sequence are -9 -7 -5 select the expression giving the nth term of the sequence n+2,n-2, 2n-9, 2n -
    5·1 answer
  • Evaluate 6x for each value of x<br><br> 10. X=-2
    13·2 answers
  • Someone help I been stuck on this for 10 mins
    5·2 answers
  • Please answer! I will mark you Brsinliest! The pictures are together.
    8·2 answers
  • 8th grade geometry HELP PLEASE THIS IS ALREADY LATE AND IS COMPLETELY DUE SOON
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!