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Effectus [21]
3 years ago
10

Show that the following data are inconsistent: ‘Of a group of 50 students, 23 take mathematics, 14 take chemistry and 17 take ph

ysics. 5 take mathematics and physics, 3 take mathematics and chemistry and 7 take chemistry and physics. Twelve students take none of mathematics, chemistry and physics’. [Hint: see the last example of the section.]

Mathematics
1 answer:
kirill115 [55]3 years ago
5 0

Answer:The following data are inconsistent because the number of students that offer the three subject gives us a negative value. X= -4. Which shouldn't be. Therefore the data are inconsistent.

Step-by-step explanation:

See attached picture for explanations.

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Solve x/2 + y/3 = 1 for x
Ivenika [448]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Sylvie and Bono hiked to the 6,288-ft summit of Mount Washington, then hiked to Carter Notch Hut for the night. Carter Notch Hut
igomit [66]

Answer:

- 3000 feets

Step-by-step explanation:

Given that:

Elevation at the summit of Mount Washington = 6288 ft

Elevation of Carter Notch Hut = 3,288 feets

The change of elevation in feets on the hike from summit to Carter Not hut:

Difference in elevation:

Summit at Mount Washington - Carter notch hut

6288 ft - 3288 ft

Change in elevation. = 3000 fts

Since the change decreased from 6288 to 3288, the elevation is downward and hence, negative = - 3000 feets

3 0
3 years ago
Represent the following expressions in exponential form​
Yakvenalex [24]

Answer:

You need to add the expressions. When you do I will edit my answer and give it to you.

8 0
3 years ago
Y = x and y =x^2 - 2
maxonik [38]

Answer:

  (-1, -1) and (2, 2)

Step-by-step explanation:

Substitute for y in the first equation and solve the quadratic.

  x = x^2 -2

  x^2 -x -2 = 0  . . . . subtract x

  (x -2)(x +1) = 0 . . . .factor

Solutions are the values of x that make these factors be zero:

  x = 2, x = -1

Since y=x, the solutions are ...

  (x, y) = (-1, -1) and (2, 2)

6 0
4 years ago
Find the average rate of change between f(-7) and f(-1) in the function f(x)=x^2+2x -8
Viktor [21]

Solve the equation by replacing x with -7 and then -1.

Then subtract the two to find the difference and divide that by the difference between -7 and -1.

f(-7) = -7^2 + 2(-7) -8 = 49 -14 -8 = 27

f(-1) = -1^2 + 2(-1) -8 = 1 -2 - 8 = -9

Difference between 27 and -9 = -36

Difference between -1 and -7 = -6

Rate of change = -36 /-6 = 6

3 0
4 years ago
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