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kkurt [141]
3 years ago
14

You put the names of all the students in your class in a paper bag. There are 14 boys and 20 girls. If you draw a name at random

, what is P(boy’s name)?
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0

Answer:

7/17

Step-by-step explanation:

you add the number of students which is 34. Then you take the number of boys and put it over 34 which would be 14/34. when you reduce it the answer will be 7/17.

let me know if this helps!

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gizmo_the_mogwai [7]
Answer = £6911

Compound interest of 5% means multiplying by 1.05 each year.

Let’s call the missing value x

To find x, we need to do:

(X) * 1.05 * 1.05 * 1.05 = 8000

So, to find x, divide 8000 by 1.05^3
8 0
2 years ago
The coordinates of quadrilateral PQRS are P(–3, 0), Q(0, 4), R(4, 1), and S(1, –3). What best describes the quadrilateral?
denis-greek [22]

Answer:

Square

Step-by-step explanation:

Plot the vertices of the quadrilateral PQRS on the coordinate plane (see attached diagram). The diagram shows that this is a square. Let's prove it.

1. Find all sides lengths:

PQ=\sqrt{(-3-0)^2+(0-4)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\ \\QR=\sqrt{(0-4)^2+(4-1)^2}=\sqrt{(-4)^2+(3)^2}=\sqrt{16+9}=\sqrt{25}=5\\ \\RS=\sqrt{(4-1)^2+(1-(-3))^2}=\sqrt{(3)^2+(4)^2}=\sqrt{9+16}=\sqrt{25}=5\\ \\SP=\sqrt{(1-(-3))^2+(-3-0)^2}=\sqrt{(4)^2+(-3)^2}=\sqrt{16+9}=\sqrt{25}=5

All sides have the same lengths.

2. Find the slopes of all lines:

PQ:\ \dfrac{4-0}{0-(-3)}=\dfrac{4}{3}\\ \\QR:\ \dfrac{1-4}{4-0}=-\dfrac{3}{4}\\ \\RS:\ \dfrac{-3-1}{1-4}=\dfrac{4}{3}\\ \\SP:\ \dfrac{0-(-3)}{-3-1}=-\dfrac{3}{4}

Since the slopes of PQ and RS are the same, lines PQ and RS are parallel. Since the slopes of QR and SP are the same, lines QR and SP are parallel.

The slopes \frac{4}{3} and -\frac{3}{4} have the product of

-\dfrac{3}{4}\cdot \dfrac{4}{3}=-1,

then lines are pairwise perpendicular.

This means PQRS is a square.

4 0
3 years ago
The work shows the first steps of writing a partial fraction decomposition.
Alex73 [517]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
4.
solong [7]
The answer is D). 125 = 1.28f. This accounts for both sales tax and the cost of food.
3 0
2 years ago
Correct answer gets 25 points! Help please!
JulsSmile [24]
Y = mx + c

If y = 4, and x = 0, then:

4 = -1 (0) + c

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If c = 4:

y = -1 (2) + 4

y = -2 +4

y = 2

If you plug in the different values of x in each equation, the answer should be:

2,0,-2

3 0
3 years ago
Read 2 more answers
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