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
Rina8888 [55]
2 years ago
5

Question 13 pts

Mathematics
1 answer:
oee [108]2 years ago
7 0

Answer:

1. 68%

2. 50%

3. 15/100

Step-by-step explanation:

Here, we want to use the empirical rule

1. % waiting between 15 and 25 minutes

From what we have in the question;

15 is 1 SD below the mean

25 is 1 SD above the mean

So practically, we want to calculate the percentage between;

1 SD below and above the mean

According to the empirical rule;

1 SD above the mean we have 34%

1 SD below, we have 34%

So between 1 SD below and above, we have

34 + 34 = 68%

2. Percentage above the mean

Mathematically, the percentage above the mean according to the empirical rule for the normal distribution is 50%

3. Probability that someone waits less than 5 minutes

Less than 5 minutes is 3 SD below the mean

That is 0.15% according to the empirical rule and the probability is 15/100

You might be interested in
At an airport, 76% of recent flights have arrived on time. A sample of 11 flights is studied. Find the probability that no more
I am Lyosha [343]

Answer:

The probability is  P( X \le 4 ) = 0.0054

Step-by-step explanation:

From the question we are told that

   The percentage that are on time is  p =  0.76

   The  sample size is n =  11

   

Generally the percentage that are not on time is

     q =  1- p

     q =  1-  0.76

     q = 0.24

The  probability that no more than 4 of them were on time is mathematically represented as

        P( X \le 4 ) =  P(1 ) +  P(2) + P(3) +  P(4)

=>     P( X \le 4 ) =  \left n } \atop {}} \right.C_1 p^{1}  q^{n- 1} +   \left n } \atop {}} \right.C_2p^{2}  q^{n- 2} +  \left n } \atop {}} \right.C_3 p^{3}  q^{n- 3}  +  \left n } \atop {}} \right.C_4 p^{4}  q^{n- 4}

P( X \le 4 ) =  \left 11 } \atop {}} \right.C_1 p^{1}  q^{11- 1} +   \left 11 } \atop {}} \right.C_2p^{2}  q^{11- 2} +  \left 11 } \atop {}} \right.C_3 p^{3}  q^{11- 3}  +  \left 11 } \atop {}} \right.C_4 p^{4}  q^{11- 4}

P( X \le 4 ) =  \left 11 } \atop {}} \right.C_1 p^{1}  q^{10} +   \left 11 } \atop {}} \right.C_2p^{2}  q^{9} +  \left 11 } \atop {}} \right.C_3 p^{3}  q^{8}  +  \left 11 } \atop {}} \right.C_4 p^{4}  q^{7}

= \frac{11! }{ 10! 1!}  (0.76)^{1}  (0.24)^{10} +   \frac{11!}{9! 2!}  (0.76)^2 (0.24)^{9} + \frac{11!}{8! 3!}  (0.76)^{3}  (0.24)^{8}  + \frac{11!}{7!4!}  (0.76)^{4}  (0.24)^{7}

P( X \le 4 ) = 0.0054

4 0
3 years ago
MARKING POEPLE AS BRIANLIST ALL DAY if you answer the question and it is right thank u
7nadin3 [17]

Answer: AAS that's what it should be

Step-by-step explanation:

5 0
3 years ago
Hello plss help me ahhhhh help me *shrieks* because i only have 10 minutes left
qaws [65]

Answer:

The 2 Option Is Correct

f(x) = 2(x+3)(x-7)

Step-by-Step Explanation:

Factor.

6 0
2 years ago
Read 2 more answers
ABC is an isosceles triangle in which ab and ac are equal if d is a the midpoint of BC prove that ABD=ADC​
jeka94

Answer:

Step-by-step explanation:

Given that,

ABC is an Isosceles triangle.

In an Isosceles triangle the opposite sides ( AB =AC) are equal; Their base angles ( < ABD = < ACD) are also equal to each other.

It is als given that D is the mid point of BC.

i.e., BD = CD

Therefore,

By SAS theorem of congruency of triangles,

ABD = ACD

If this is the answer required, hope it helps...

4 0
3 years ago
Whats 85 divided by 1500 rounded but like done already​
Yuri [45]

Answer is 17.647 or if rounded 18

5 0
3 years ago
Read 2 more answers
Other questions:
  • Julia writes 2fractions with the same denominator that have numerators 5and 7.What could the denominator be if the sum is less t
    12·1 answer
  • What is the slope and y intercept of the line y= 4x -12-2x?
    8·2 answers
  • 2 option question NEED ANSWER NOW PLZ
    9·1 answer
  • A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone i
    14·2 answers
  • A 2-gallon container of laundry detergent costs $19.68. what is the price per pint?
    5·1 answer
  • PLEASE HELP DON’T ANSWER IF YOU DON’T KNOW!! Mr. Sanchez drives 120 miles in 3 hours. At the same rate, how far will he drive
    13·2 answers
  • Subtract 5/6-(-4/9)<br><br> Please
    14·2 answers
  • Please help 6th grade math please please help
    14·1 answer
  • Sup nerds. Do this for me or I'm gonna get screamed at by my mom also show all the work
    10·1 answer
  • Can someone help me find AB and BC
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!