Which inequality matches the graph?

A random sample of 250 juniors majoring in psychology or communication at a large university is selected. These students are ask

fenix001 [56]

Solution :

It is given that :

Number of students in a random sample majoring in communication or psychology at an university = 250

Total number of students majoring in psychology = 100

Number of students majoring in psychology those who are happy = 80

So number of students majoring in psychology those who are not happy = 20

Total number of students majoring in communication = 250 - 100 = 150

Number of students majoring in communication those who are happy = 115

So number of students majoring in psychology those who are not happy = 35

a). Probability of the students happy with their major choices are

$=\frac{80+115}{250}$

= 0.78

b). Psychology major $=\frac{80+20}{250}$

= 0.4

c). Probability of the students who are happy with the communication as the choice of major = $\frac{115}{250}$ = 0.46

d). Students unhappy with their choice of major given that the student is psychology major = $\frac{20}{250}$ = 0.018

8 0

3 years ago

Students can buy up to 10 books at the book fair the cost of the books as shown in the graph what is the range of the graph

bogdanovich [222]

The answer is 8 okay

3 0

3 years ago

What is the rule for the reflection?

sweet-ann [11.9K]

Answer:

Any incident ray traveling parallel to the principal axis on the way to the mirror will pass through the focal point upon reflection. Any incident ray passing through the focal point on the way to the mirror will travel parallel to the principal axis upon reflection.

Step-by-step explanation:

6 0

3 years ago

A) 1.0 mile b) 5.0 mile c) 5.8 mile d) 0.8 mile

nordsb [41]

Answer:

d) 0.8 mile

Step-by-step explanation:

Coordinate of object B = (6, 6)

Coordinate of object C = (1, 4)

Coordinate of the archaeologist = (6, 1)

✍️Distance between Object B (6, 6) and the archaeologist (6, 1):

Distance = |6 - 1| = 5 units = 5 miles

✍️Distance between Object C (1, 4) and the archaeologist (6, 1):

Using the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , we would have:

$d = \sqrt{(6 - 1)^2 + (1 - 4)^2}$

$d = \sqrt{(5)^2 + (-3)^2}$

$d = \sqrt{25 + 9}$

$d = \sqrt{34} = 5.8 units = 5.8 miles$ (nearest tenth)

Comparing how far each object is from the archaeologist, object C is 0.8 mile (5.8 - 5 = 0.8) farther than object B.

3 0

3 years ago

The biggest among three numbers is 2.4 larger than the smallest one. If 15 times the smallest one is equal to 12 times the secon

g100num [7]

Answer:

18

Step-by-step explanation:

Let x represent smallest number and y represent second number.

We have been given that the biggest among three numbers is 2.4 larger than the smallest one. So biggest number would be $x+2.4$ .

We are also told that 15 times the smallest one is equal to 12 times the second and 10 times the third. We can represent this information in equations as:

$15x=12y...(1)$