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3 years ago

There are 18 girls and 12 boys in your class. What is the probability that a new kid entering your class will be a boy ?

Mathematics

1 answer:

xenn [34]3 years ago

6 0

C.
12/30=0.4
You should really learn how to do probabilities. They don't go away after like the sixth grade.

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the line with a slope of 1/3 and a y- intercept of - 15 intersects the line passing through which of these pairs of points?

stich3 [128]

Answer:

Options (C), (D) and (E)

Step-by-step explanation:

Slope of the given line = $\frac{1}{3}$

Any line having same slope will be parallel to the given line otherwise the lines will intersect.

Therefore, we will find the slope of the lines passing through two points given in the options.

Option A

Slope of the line passing through (12, -13) and (15, -12)

m = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{-13+12}{12-15}$

= $\frac{1}{3}$

Therefore, both the lines are parallel having no point of intersection.

Option B

Slope = $\frac{-9+7}{18-24}$

= $\frac{1}{3}$

Both the lines are parallel having no point of intersection.

Option C

Slope = $\frac{-20+21}{15-18}$

= $-\frac{1}{3}$

Therefore, both the lines will intersect.

Option D

Slope = $\frac{-15+14}{30-36}$

= $\frac{1}{6}$

Both the lines will intersect each other.

Option E

Slope = $\frac{-11+10}{24-30}$

= $\frac{1}{6}$

Both the lines will intersect each other at a point.

Options (C), (D) and (E) are the correct options.

6 0

3 years ago

jenny went to the mall with $120 in her wallet.she spent $25.65 on a shirt, $7.98 on a pair of socks, $16.23 on a cd , and $4.58

Effectus [21]

Total money=$120
on shirt=$25.65
on socks=$7.98
on a cd=$16.23
on snack=$4.58
so total money left=total money-total money spent
=$120-($25.65+$7.98+$16.23+$4.58)
=$120-$54.44
so total money left=$65.56

4 0

3 years ago

Read 2 more answers

A plane leaves at 11:22 AM and arrives at 3:13 PM how long was the flight

Fantom [35]

Answer:

3 hours and 51 minutes

Step-by-step explanation:

Hope this helps!!

7 0

3 years ago

easch cube inside the rectangle prism has a edge length of 3/4 inch what is the volume of the rectangle prism

vfiekz [6]

Volume = (edge)^3

Volume = (3/4)^3

Volume = (27/64) inches^3

Done.

5 0

3 years ago

Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be w

zzz [600]

Answer:

20 gray squares

Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

<u>The white squares</u>

$a = 2$ --- initial

$d = 4 - 2 = 6 - 4$

$d = 2$ -- difference between successive gray squares

So, the nth term is:

$W_n = a + (n - 1)d$

$W_n = 2 + (n - 1)*2$

$W_n = 2 + 2n - 2$

$W_n = 2n$

<u>The gray squares</u>

$a = 6$ --- initial

$d = 8-6=10-8$

$d = 2$ -- difference between successive gray squares

So, the nth term is:

$G_n = a + (n - 1)d$

$G_n = 6 + (n - 1) *2$

$G_n = 6 + 2n - 2$

$G_n = 4 + 2n$

When the white squares is 16

$W_n = 16$ --- Calculate n

$W_n = 2n$

$16 = 2n$

$8 = n$

$n = 8$

To get the number of gray squares;

Substitute $n = 8$ in $G_n = 4 + 2n$

$G_n = 4 + 2 * 8$

$G_n = 20$

4 0

3 years ago