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NeX [460]
3 years ago
6

A college has 1503 students, of which 5/9 are on modern apprenticeship courses. How many students are not on modern apprenticesh

ip courses?

Mathematics
1 answer:
Mila [183]3 years ago
5 0
Btw that is a 668 :)

You might be interested in
Please answer this thoroughly.
babunello [35]

Answer:

2 x 3/5,  1 2/5 x 3/5,  6/6 x 3/5,  1/4 x 3/5

Hope this helps!

8 0
2 years ago
The function f(x) = x2 - 6x + 9 is shifted 5 units to the left to create g(x). What is g(x)?
creativ13 [48]

Answer:

g(x) = x^2 + 4x + 4

Step-by-step explanation:

In translation of functions, adding a constant to the domain values (x) of a function will move the graph to the left, while subtracting from the input of the function will move the graph to the right.

Given the function;

f(x) = x2 - 6x + 9

a shift 5 units to the left implies that we shall be adding the constant 5 to the x values of the function;

g(x) = f(x+5)

g(x) = (x+5)^2 - 6(x+5) + 9

g(x) = x^2 + 10x + 25 - 6x -30 + 9

g(x) = x^2 + 4x + 4

3 0
3 years ago
What is the equation of a line parallel to the x-axis that passes though the point (4,5)? What is the slope of this line
nignag [31]

Answer:

y = 5

slope = 0

Step-by-step explanation:

5 0
3 years ago
Need help with this question, thank you in advance!
blondinia [14]

Answer:

arc RP = 84 degrees

Step-by-step explanation:

If the angle NPQ is 102 degrees, we can find the angle NPM:

NPM + NPQ = 180

NPM + 102 = 180

NPM = 78 degrees.

Now, with the triangle NPM, we can find the angle MNP:

60 + 78 + MNP = 180

MNP = 180 - 60 - 78 = 42 degrees

The angle MNP is inscribed in the circle, and is related to the arc RP:

arc RP = 2 * MNP

arc RP = 2 * 42 = 84 degrees

3 0
3 years ago
What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
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