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
neonofarm [45]
3 years ago
14

20. Based on student records, 25% of the students at a large high school have a

Mathematics
2 answers:
yarga [219]3 years ago
7 0

Answer:

(E) 0.71

Step-by-step explanation:

P(not GPA > 3.5 and Not AP) = 1 – P(GPA > 3.5 or AP) = 1 – (0.25 + 0.16 – 0.12) = 0.71.

Elenna [48]3 years ago
5 0

Answer:

(E) 0.71

Step-by-step explanation:

Let's call A the event that a student has GPA of 3.5 or better, A' the event that a student has GPA lower than 3.5, B the event that a student is enrolled in at least one AP class and B' the event that a student is not taking any AP class.

So, the  probability that the student has a GPA lower than 3.5 and is not taking any AP  classes is calculated as:

P(A'∩B') = 1 - P(A∪B)

it means that the students that have a GPA lower than 3.5 and are not taking any AP  classes are the complement of the students that have a GPA of 3.5 of better or are enrolled in at least one AP class.

Therefore, P(A∪B) is equal to:

P(A∪B) = P(A) + P(B) - P(A∩B)

Where the probability P(A) that a student has GPA of 3.5 or better is 0.25, the probability P(B) that a student is enrolled in at least one AP class is 0.16 and the probability P(A∩B) that a student has a GPA of 3.5 or better and is enrolled  in at least one AP class is 0.12

So, P(A∪B) is equal to:

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 0.25 + 0.16 - 0.12

P(A∪B) = 0.29

Finally, P(A'∩B') is equal to:

P(A'∩B') = 1 - P(A∪B)

P(A'∩B') = 1 - 0.29

P(A'∩B') = 0.71

You might be interested in
There are 1234 pickles in a jar Fred took half out how many pickles are there.<br><br><br> ∞<br> ω
Leokris [45]

Answer:

617 pickles left >:)

Step-by-step explanation:

1234 divided by 2(half) is 617

also fred is very hungry if he wanted 617 pickles...and greedy

8 0
2 years ago
What is the standard form of the equation<br><br>Center (-14,5), circumference: 22π
IRISSAK [1]

The standard equation for a circle with center at (h,k) and radius r is

(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle.

The formula for the circumference of a circle is C = 2pi*r.  In this particular problem, we need to determine the radius of the circle.  That radius is:  r = C/[2pi].  Here, C = 22pi, so we get r = 22pi/[2pi], and so r^2 = 11^2.

Putting to use the given info, we have:

(x+14)^2 + (y-5)^2 = 11^2

6 0
3 years ago
Come up with five solutions for the equation below:<br> y = 3x + 2
notka56 [123]
(0,2)
(1,5)
(2,8)
(3,11)
(4,14)
7 0
3 years ago
Read 2 more answers
Find the domain of fg. f(x)=x+2 g(x)=1/x+2 a. all real numbers b. all real numbers, except 2 c. all real numbers, except -2 d. (
sleet_krkn [62]

Answer:

all real numbers

Step-by-step explanation:

the domain will always be all real numbers

6 0
3 years ago
Solve 6 2/3 -1 1/2+4 1/6​
Tju [1.3M]

Answer:

9 1/3

Step-by-step explanation:

Make 2/3 , 1/2 , & 1/6 have the same denominator. 6 is the least common multiple for all 3 fractions.

2/3 gets multiplied by 2/2

1/2 gets multiplied by 3/3

1/6 stays the same

2/3 becomes 4/6

1/2 becomes 3/6

1/6 stays 1/6

Follow the order of operations from the original equation.

4/6 - 3/6 = 1/6 then 1/6 + 1/6 = 2/6

6 - 1 = 5 then 5 + 4 = 9

Simplify 2/6 to 1/3

Remember to add 1/3 back to 9 making it 9 1/3

8 0
2 years ago
Other questions:
  • Olivia ordered cupcakes and a layer cake. Together she paid $52. She paid $12 more on the layer cake than on the cupcakes. What
    7·1 answer
  • If John has 2 apples and Mika has 6. How many apples are there combined
    8·2 answers
  • Which of these could be considered a statistical question
    11·1 answer
  • The length of the second side of a triangle is 2 inches less than the length of the first side.The length of the third side is 1
    8·1 answer
  • What is the simplest value of exponential expression 27^1/3
    11·1 answer
  • All 5 students in Mrs. Awful's class got a 50 on the test. What’s the average grade in this class?
    9·1 answer
  • Bob has $10350 in his defined contribution plan at work. Of that balance $7573.25 comes from his own contributions and $2776.75
    10·1 answer
  • When the price of Xis RM4 and the price of Y is RM10, which of the following combinations would be the intercept of axes
    14·1 answer
  • What is the area of this parallelogram?
    11·2 answers
  • Y varies inversely with x: If y = 10 while x = 3, find y when x = 6.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!