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
hjlf
3 years ago
9

There are 40 math teachers, 45 English teachers, 27 science teachers, and 32 social studies teachers. The superintendent of the

region wants to select a board of 20 teachers. How many science teachers should he select?
Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0

Answer:

Superintendent of the region will select approximately 4 Science teachers in the board.

Step-by-step explanation:

Given:

Number of math teachers = 40

Number of English teachers = 45

Number of Science teachers = 27

Number Social Studies teachers = 32

Number of teachers to be selected in the board =20

We need to find the number Science teachers should be selected in the board.

Solution:

First we ill find the Total number of teachers.

Now we can say that;

Total number of teachers is equal to sum of Number of math teachers, Number of English teachers,Number of Science teachers and Number Social Studies teachers

framing in equation form we get;

Total number of teachers = 40+45+27+32=144

Probability of Science teacher can be calculated by Dividing Number of Science teacher by Total number of teachers.

P(S)=\frac{27}{144}=0.1875

Now  the number of Science teachers should be selected in the board we need to multiply P(S) with Number of teachers to be selected in the board.

framing in equation form we get;

number of Science teachers should be selected in the board = 0.1875\times 20=3.75\approx4

Hence We can say that;

Superintendent of the region will select approximately 4 Science teachers in the board.

You might be interested in
Norman and Suzanne own 34 shares of a fast food restaurant stock and 70 shares of a toy company stock. At the close of the marke
puteri [66]
1488=34F+70T
F=T+30
this is the system of equations heeded o solve this problem. because we are given that both stocks together are equal to $1488. we are also told that here are 34 share of the fast food stock. and there are 70 shares of the toy stock. each share has an unknown value. this is where i get the. 34F and 70T. we are told that one fast food share (F) is equal to $30 more than the toy share (T) so f=t+30.
solve he system of equations. they give you the value of f is t+30. so plug that into the original equation (1488=34F+70T) in placeof F so the new equation is 1488=34(T+30)+70T
combine like terms and solve for T. plug the value of T into the original equation and solve for F. check your work by plugging both of your answers (answer for F and answer for T) into the original equation.
6 0
3 years ago
A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
Dafna1 [17]
The area of a triangle in terms of height and base is A = 1/2*base*height

Suppose base = 6 cm and height = 12 cm. Then, A = 1/2*6*12 = 36 cm2.

If the base and height are scales by a factor of 5, b= 30 cm and h = 60 cm. Then, A = 1/2*30*60 = 900 cm2.

Thus the area of the resulting triangle is scaled by a factor of 25, which is 900 cm2.

6 0
3 years ago
If ex + e⁻¹= 2, then x =..
harkovskaia [24]

Answer:

\rm x = \dfrac{2e - 1}{ {e}^{2} }

Step-by-step explanation:

\rm Solve \:  for \:  x: \\  \rm \longrightarrow ex +  {e}^{ - 1}  = 2 \\  \\   \rm \longrightarrow e x +  \dfrac{1}{e}  = 2 \\  \\  \rm Subtract \:   \dfrac{1}{e} \:  from \:  both  \: sides: \\   \rm \longrightarrow e x  +  \dfrac{1}{e} -  \dfrac{1}{e}  = 2  -  \dfrac{1}{e}  \\  \\   \rm \longrightarrow ex =  \dfrac{2e}{e} -  \dfrac{1}{e}   \\  \\   \rm \longrightarrow ex =  \dfrac{2e - 1}{e}  \\  \\  \rm Divide \:  both  \: sides  \: by  \: e: \\   \rm \longrightarrow  \dfrac{ex}{e}  =  \dfrac{2e - 1}{e \times e}  \\  \\   \rm \longrightarrow x =  \dfrac{2e - 1}{ {e}^{2} }

6 0
3 years ago
A microscope can magnify the object it is looking at 10×4 times. How many times is that? (MCC.8.EE.3) A. 40,000 times B. 40 time
damaskus [11]

Answer:

10×4 = 40

10^4 = 10,000

Step-by-step explanation:

10^4 is another way to write 10⁴ = 10·10·10·10 = 10,000.

Essentially, the exponent tells you how many places to the right of the leading digit the decimal point lies (here, the number of zeros in the number).

_____

<em>Comment on the answer choice</em>

The appropriate answer depends on what you mean by your problem statement. Some microscopes magnify 40 times; others magnify 10,000 times, so we cannot tell the appropriate answer using our knowledge of microscopes.

3 0
3 years ago
It rained 7 times during our holiday. If it rained in the morning, it was sunny in the
TEA [102]

Answer:

E= 11

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Which ordered pair in the form (x, y) is a solution of this equation?
    13·1 answer
  • C=Wtc/1,000 Solve for w
    8·1 answer
  • A circular lawn has a row of bricks aroumd the edge. The diameter ofnthe lawnis Bout 40 feet. Which is best estimate for the amo
    8·1 answer
  • Write y=x - 5 in standard form
    13·1 answer
  • Amber completed a 25-kilometer road race in 3 hours. She ran at the same speed and covered the same distance each hour. Between
    15·1 answer
  • Will give brainlest if correct
    10·2 answers
  • 3 Anthony has
    9·1 answer
  • What is the result when 4x3 + 16x² + 7x – 20 is divided by 2x + 5?
    13·1 answer
  • Find the values of x and y. Show all your work.
    13·1 answer
  • A pump fills a pool at a constant rate. At the end of 4 minutes it has filled 16 gallons of water. Which table represents the re
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!