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3 years ago

A survey of 80 sophomores at a certain western college showed that

1 answer:

3 0

1. take English and niether of the other two?
36-6 that we know take all 3
This leave 30.
Subtract the 6 from those taking history and English. Leaves 10.
Subtract the 10 from those taking English.
This leaves 20.
Subtract the 6 from those taking political science and English. Leaves 8.
Subtract 8 from those taking English.
Leaves 12

2. take none of the three courses? 

3. take history, but niether of the other two
Do the same with history as we did with English.
32-6 = 26 -10=16-10=6

4. take political science and history but not english
16-6 (that take all 3) = 10

Hope at least the partial answer helps!

You might be interested in

What is the perfect square number is the base factor is 11?

Svetlanka [38]

Answer:

121

Step-by-step explanation:

we know that

A perfect square is an integer that is the square of an integer.

In this problem

The integer or base factor is equal to 11

therefore

squared the integer to find out the perfect square

$11^2=121$

8 0

2 years ago

Hello Guys, I really need help with these questions. Here they are.

Slav-nsk [51]

Answer:

See below.

Step-by-step explanation:

It can really help to think when you see |expression| that it means the distance from expression to zero.

(a) |x| < 7 means the distance from x to 0 is less than 7. That puts x between -7 and 7. The solution set is -7 < x < 7.

(b) |x + 3| < 9 means that the distance from x + 3 to 0 is less than 9. That puts x + 3 between -9 and 9:

-9 < x + 3 < 9 Now subtract 3 from all three parts.

-12 < x < 6

(c) |y - 8| > 11 means that the distance from y - 8 to 0 is more than 11 units. That puts y - 8 in one of two places: left of -11 or right of 11.

$y-8 < -11 \text{ or } y-8 > 11\\\\y < -3 \text{ or } y > 19$

(g) $|3x-1| \ge 18$ means that the distance from 3x - 1 to 0 is more than (or equal to) 18. Another way to say it is, 3x - 1 is farther from 0 than 18 units. That puts 3x - 1 in one of two places: to the left of -18 or to the right of 18.

$3x-1 \le -18 \text{ or } 3x-1 \ge 18\\\\3x \le -17 \text{ or } 3x \ge 19\\\\x \le -\frac{17}{3} \text{ or } x \ge \frac{19}{3}$

$|4y+3| \le 13$ means that 4y + 3 is closer to 0 than 13; it is between -13 and 13.

$-13 \le 4y+3 \le 13\\\\-16 \le 4y \le 10\\\\-4 \le y \le \frac{5}{2}$

(That last fraction is 10/4 simplified.)

3 0

2 years ago

Read 2 more answers

What is (f ° g)(2) and (g ° f)(2) with the set of points f: {(0,4), (1,2), (2,0), (3,2), (4,4)} and g: {(0,4), (1,3), (2,2), (3,

kumpel [21]

Answer:

$\large\boxed{(f\circ g)(2)=0}\\\boxed{(g\circ f)(2)=4}$

Step-by-step explanation:

$f:\{(0,4), (1,2), \underline{(2,0)}, (3,2), (4,4)\}\\\\g:\{\underline{(0,4)}, (1,3), \underline{(2,2)}, (3,1), (4,0)\}\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)\\\\g(2)=2\qquad/from\ (2,2)/\\f\bigg(g(2)\bigg)=f(2)=0\qquad/from\ (2,0)/\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\f(2)=0\qquad/from\ (2,0)/\\g\bigg(f(2)\bigg)=g(0)=4\qquad/from\ (0,4)/$

7 0

2 years ago

How do you know if two lines are parallel?

GalinKa [24]

The lines never intersect or touch should be the answer.

Hope this helps/works.

4 0

3 years ago

Read 2 more answers

PLEASE HELP 2 QUESTIONS 45 POINTS!!!!!!!!!

Effectus [21]

Answer:

1. -8x² - 16x - 6 a = -8, b = -16, c = -6

1. 4x² - 1 a = 4, b = 0, c = -1

Step-by-step explanation:

use the 'foil' method:

(4x + 2)(-2x - 3)

F: -8x² O: -12x I: -4x L: -6

-8x² - 16x - 6

(2x + 1)(2x - 1)

F: 4x² O: -2x I: 2x L: -1

4x² - 1

5 0

2 years ago