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
Y= -4x + 10? What is the slope of the line?
Salsk061 [2.6K]

Answer:

-4 or -4/1

Step-by-step explanation:

The equation is in y=mx+b form

m is the slope, and b is the y intercept

So, for this line, y=-4x+10

-4 is the slope and 10 is the y intercept

Hope this helps! :)

6 0
3 years ago
The answer to the question
Andru [333]
That would be about eight ounces of yellow paint
3 0
3 years ago
Read 2 more answers
Find the equation of the line that
olganol [36]

Answer:

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

Step-by-step explanation:

Perpendicular lines have negative reciprocal gradients(slopes) so the slope of your new line would be 1/2. Then you use the point to find the new y-intercept

y=mx+b

2=\frac{1}{2}(8)+b

2=4+b

B=-2

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

5 0
3 years ago
Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
Misha Larkins [42]

Answer:

1 and 2 are not congruent; 1 and 3 are congruent; 1 and 4 are congruent; 2 and 3 are not congruent; 2 and 4 are not congruent; 3 and 4 are congruent.

Step-by-step explanation:

From the diagram, we can see that the angle measures and side measures of figures 1, 3 and 4 are the same.  This means that these three figures are congruent.  Figure 2, however, is not congruent to any of the other 3.

5 0
3 years ago
Read 2 more answers
If the perimeter of a triangle is 45 cm and the ratio of the 3 sides is 2:3:4, find the length of all 3 sides
frozen [14]

Answer:

Below.

Step-by-step explanation:

2 + 3 + 4 = 9 so

the smallest side = 2/9 * 45, the next = 3/9 * 45 and the longest = 4/9 *45.

= 10, 15 and 20 cm.

5 0
3 years ago
Other questions:
  • (02.06 MC)
    10·1 answer
  • What is the coefficient of the variable in the expression 2 - 5x - 4 + 8
    7·1 answer
  • Factor -1/2 out of -1/2 X +6=?
    8·1 answer
  • Find the median for the following set of data: 41, 99, 37, 52, 39, 17, 95 a. 44 c. 53 b. 37 d. 41
    10·2 answers
  • In exercises, solve the literal equation for x
    10·1 answer
  • What is the slope-intercept equation for this
    7·1 answer
  • Zoey is collecting Pokémon cards. She already has 50 cards and she buys 10 every week. How many weeks will it take her to collec
    8·2 answers
  • Which is greater -6/24 or -2/8
    12·2 answers
  • A football jersey that origanally sells for $75 is on sale for 35% off the original peice. what is the sale price of the footbal
    12·2 answers
  • Janet is playing billiards. She hit the ball, and it bounced off three of the sides.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!