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3 years ago

Please I need help to do this

Mathematics

2 answers:

Annette [7]3 years ago

6 0

Hey there! Hello!

For this problem, I'm assuming you need help figuring out what quadrants contain which positive and negative plot points, and I can certainly help with that.

I have attached a quick little drawing I did of the different quadrants' labels and their corresponding positive and negative numbers, if that makes any sense. Keep in mind that when you cross the y-axis (the vertical one) from the right to the left side, your x-value will be negative. Same goes for the y-value, except it will be positive on the top and negative on the bottom.

Hope this helped you out! Feel free to ask any additional questions if you have any, or if you still need help figuring out which point on your worksheet goes in which quadrant. :-)

OLga [1]3 years ago

3 0

A is in Q2 b is in Q4 c is inQ3 I think :)

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A store sells 8 colors of balloons with at least 28 of each color. How many different combinations of 28 balloons can be chosen?

Len [333]

Answer:

(a) $Selection = 6724520$

(b) $At\ most\ 12 = 6553976$

(c) $At\ most\ 8 = 6066720$

(d) $At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638$

Step-by-step explanation:

Given

$Colors = 8$

$Balloons = 28$ --- at least

Solving (a): 28 combinations

From the question, we understand that; a combination of 28 is to be selected. Because the order is not important, we make use of combination.

Also, because repetition is allowed; different balloons of the same kind can be selected over and over again.

So:

$n => 28 + 8-1$ $= 35$

$r = 28$

$Selection = ^{35}^C_{28$

$Selection = \frac{35!}{(35 - 28)!28!}$

$Selection = \frac{35!}{7!28!}$

$Selection = \frac{35*34*33*32*31*30*29*28!}{7!28!}$

$Selection = \frac{35*34*33*32*31*30*29}{7!}$

$Selection = \frac{35*34*33*32*31*30*29}{7*6*5*4*3*2*1}$

$Selection = \frac{33891580800}{5040}$

$Selection = 6724520$

Solving (b): At most 12 red balloons

First, we calculate the ways of selecting at least 13 balloons

Out of the 28 balloons, there are 15 balloons remaining (i.e. 28 - 13)

So:

$n => 15 + 8 -1 = 22$

$r = 15$

Selection of at least 13 =

$At\ least\ 13 = ^{22}C_{15}$

$At\ least\ 13 = \frac{22!}{(22-15)!15!}$

$At\ least\ 13 = \frac{22!}{7!15!}$

$At\ least\ 13 = 170544$

Ways of selecting at most 12 =

$At\ most\ 12 = Total - At\ least\ 13$ --- Complement rule

$At\ most\ 12 = 6724520- 170544$

$At\ most\ 12 = 6553976$

Solving (c): At most 8 blue balloons

First, we calculate the ways of selecting at least 9 balloons

Out of the 28 balloons, there are 19 balloons remaining (i.e. 28 - 9)

So:

$n => 19+ 8 -1 = 26$

$r = 19$

Selection of at least 9 =

$At\ least\ 9 = ^{26}C_{19}$

$At\ least\ 9 = \frac{26!}{(26-19)!19!}$

$At\ least\ 9 = \frac{26!}{7!19!}$

$At\ least\ 9 = 657800$

Ways of selecting at most 8 =

$At\ most\ 8 = Total - At\ least\ 9$ --- Complement rule

$At\ most\ 8 = 6724520- 657800$

$At\ most\ 8 = 6066720$

Solving (d): 12 red and 8 blue balloons

First, we calculate the ways for selecting 13 red balloons and 9 blue balloons

Out of the 28 balloons, there are 6 balloons remaining (i.e. 28 - 13 - 9)

So:

$n =6+6-1 = 11$

$r = 6$

Selection =

$^{11}C_6 = \frac{11!}{(11-6)!6!}$

$^{11}C_6 = \frac{11!}{5!6!}$

$^{11}C_6 = 462$

Using inclusion/exclusion rule of two sets:

$Selection = At\ most\ 12 + At\ most\ 8 - (12\ red\ and\ 8\ blue)$

$Only\ 12\ red\ and\ only\ 8\ blue\ = 170544+ 657800- 462$

$Only\ 12\ red\ and\ only\ 8\ blue\ = 827882$

$At\ most\ 12\ red\ and\ at\ most\ 8\ blue = Total - Only\ 12\ red\ and\ only\ 8\ blue$

$At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 6724520 - 827882$

$At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638$

3 0

3 years ago

How would u answer #10

Ganezh [65]

So if the exterior angle is 130°, then the inner angle is 50°.
The total of the inner angles of a triangle is (n-2)180°=180°, so 180°-50°=130°
With the remaining two angles =130° and they are both in the ratio of 2:3, one angle has a measure of 52° and 78°.
Thus the measure of the largest angle is 78°.

3 0

3 years ago

Read 2 more answers

Need help real fast.

ira [324]

Answer:

option 4

Step-by-step explanation:

using the equation stated above

1st term = -6+(1-1=0)*(6)=-6

4th term= -6+(4-1=3)*6=12

10th term= -6+(10-1=9)*6=48

7 0

4 years ago

A scoop of ice cream in the shape of a whole sphere sits in a right cone. The radius of the ice cream scoop is 1.5 cm and the ra

Deffense [45]

The volume of the scoop of ice cream is 14.14 cm³.

The height of the cone that would fit all the ice cream is 6 cm.

<h3>What is the volume of the scoop of ice cream?</h3>

In order to determine the volume of the scoop of ice cream, the formula for the volume of a sphere would be used.

Volume of a sphere = 4/3 x pi x r^3

= 4/3 x 22/7 x 1.5^3 = 14.14 cm³

<h3>What should the height of the cone be?</h3>

The formula that can be used to determine the height of the cone is:

Volume of the scoop / (1/3 x π x r²)

14.14 / (1/3 x 1.5² x 22/7) = 6 cm

To learn more about the volume of a sphere, please check: brainly.com/question/13705125

7 0

2 years ago

Picky Painters charges a flat fee of $300 plus $20 per hour for labor. Color Creators charges a flat fee of $500 plus $12 per ho

Ira Lisetskai [31]

Answer:

p(x)= 20x + 300 c(x)= 12x + 500

Step-by-step explanation:

x = hour

numbers without variables are the flat fee

8 0

3 years ago