Samira and Sonia each have a bag containing 20 sweets. In each bag, there are 5 red, 6 green and 9 yellow sweets.
(a)
(b)
Samira chooses one sweet at random from her bag.
Write down the probability that she chooses a yellow sweet.
[1] Sonia chooses two sweets at random, without replacement, from her bag.
(i) Show that the probability that she chooses two green sweets is 3 . 38
(ii) Calculate the probability that the sweets she chooses are not both the same colour.

Answers

Answer 1

Step-by-step explanation:

there must be some typos here. but I try to address the right issues.

there is nothing under (a). so, really nothing to answer.

(b)

there are 20 sweets in her bag. 9 if the 20 are yellow.

so, the probability is the ratio of desired possibilities vs. total possibilities.

that is, tada! 9/20

that is the probabilty for Samira to pick a yellow sweet.

[1] (i)

again, 20 sweets to start with.

6 are green.

when she picks the first one, her probability to pick a green one is 6/20 = 3/10 = 0.3

and now, under the assumption that this came true, she picks another sweet.

this time she had only 19 left, and 5 of them are green.

so, this probabilty is 5/19

now both events need to happen for the case we are discussing. there is no overlapping, no ors, ifs and buts. it is just the product of both probabilities.

3/10 × 5/19 = 15/190 = 3/38

I think that is what the description asks for.

(ii)

that probability is

first selection is red and second is not red +

first selection is green and second is not green +

first selection is yellow and second is not yellow

so,

red and not red

5/20 = 1/4 red

15/19 not red (there are still 15 sweets of other colors in the bag, but again now only 19 total).

red and not red = 1/4 × 15/19 = 15/76 = 0.1974

green and not green

6/20 = 3/10 = green

14/19 = not green

green and not green = 3/10 × 14/19 = 52/190 = 26/95 =

= 0.2737

yellow and not yellow

9/20 = yellow

11/19 = not yellow

yellow and not yellow = 9/20 × 11/19 = 99/380 = 0.2606

so, now assuming up all 3 possibilities ("or" = sum) gives us the general possibility of selecting two different colors

= 0.7316


Related Questions

If f(1) = 10 and f(n) = f(n − 1) – 3 then find the value of f(4).

Answers

Answer:

f(4) =1

Step-by-step explanation:

f(1) = 10

f(n) = f(n − 1) – 3

Let n=2

f(2) = f(2 − 1) – 3 = 10-3 = 7

Let n =3

f(3) = f(3 − 1) – 3 = f(2) -3 = 7-3 = 4

Let n = 4

f(4) = f(4 − 1) – 3 = f(3) -3 = 4-3 = 1

Answer:

9

Step-by-step explanation:

f(4)=4(4-1)-3

f(4)=4(3)-3

f(4)=12-3

f(4)=9

(PLEASE HELP you don't have to graph I just need the equations) Dr. Gilmore just got his PhD, and he wants to print copies of his thesis in hardcover book
format. He could use Belmont Printing, paying a setup fee of $40 and $4 for every book
printed. Alternately, he could go through Fairfax University, paying an up-front fee of $30
and $6 per book. It turns out that, given the number of books Dr. Gilmore wants to print, the
two options cost the same amount. How many books is that?
Write a system of equations, graph them, and type the solution.

Answers

the answer is B
yeah yeah that’s what she was saying she didn’t yyyyyyyyu

PLS HELP ME ON THIS QUESTION I WIL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The number of rare coins a coin collector owns is considered ________ data.
A. discrete
B. continuous
C. neither continuous nor discrete
D. both continuous and discrete

Answers

Answer:

The number of rare coins a coin collector owns is considered discrete data.

find the probability that a randomly selected student drives to school. (see attachment, probability models)

p (drive to school) = x/x
remember to reduce your answer

Answers

Answer:

2/5

Step-by-step explanation:

P(drive to school) = number of students that drive to school ÷ total number of students

P(drive to school) = 40/100

P(drive to school) = 2/5

Answer:

The probability would be:

(number of students drive to school)/(total number of selected students)

The number of students who drive to school can be calculated as [tex]2+13+25=40[/tex]The total number of students is stated as 100.

Therefore, the probability would be:

[tex]\frac{40}{100}=\frac{4}{10} =\frac{2}{5}[/tex]

When solving equations, if I subtract 5 on the right side of the equation do I have to subtract 5 on the left side of the equation?

Answers

Answer:

Yes

Step-by-step explanation:

Adding to both sides of the equation will keep both sides equal

Can the quotient of two irrational numbers ever be a rational number?

Answers

Answer: Yes, it can.

Step-by-step explanation:

3π / 2π = 1.5

√20 / √5 = 2

I guess it can.

A diameter of a circle is 12 inches. What's the distance when rotate 3 circle ?

Answers

Answer:

36π inches which is 113.10 inches to the nearest hundredth

Step-by-step explanation:

The circumference = 12 * π

Rotating 3 times  the distance moved is 3 * 12π.

Find the length of the third side. If necessary, round to the nearest tenth.
20
28
Answer:
Submit Answer
attempt 1 out of 2
PLS HELP ASAP

Answers

Answer:

b = 19.6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

20^2+ b^2 = 28^2  

400 + b^2 = 784

b^2 = 784-400

b^2 =384

Taking the square root of each side

sqrt( b^2) = sqrt(384)

b =19.59591794

To the nearest tenth

b = 19.6

Answer:

19.6

Step-by-step explanation:

It is a right triangle so use the pythagorean theorem; a^2 + b^2 = c^2

a=20

b=?

c=28 - c is the hypotenuse because it is across from the right angle

20^2 + b^2 = 28^2

400+ b^2 =784

b^2=384

b= 19.595917... or 19.6 (rounded to nearest tenth)

Solve the equation for all values of x.
- 2x(– 8)(10x + 1) = 0
From deltamath.com

Answers

Answer:

Hi I'm going to answer the question is 0

Step-by-step explanation:

-2x(-8)(10x+1)=0

Multiply -2 times -8 is 16

16x(10x+1)=0

Use the distributive property to multiply 16x by 10x+1

[tex] {160}^{2} + 16 = 0 \\ [/tex]

Factor out x.

x(160x+16)=0

To find equation solutions, solve x=0 and 160x+16=0

x=0

x=

[tex] - \frac{1}{10} [/tex]

A. A polynomial of the 5th degree with a leading coefficient of 3 and a constant of 2.

Answers

3x^5 + 2
The ^ sign means the number after it is an exponent.

Find the area of the figure

Answers

Answer:

Below

Step-by-step explanation:

First I found the area of the portion that extends off (if that makes sense??)

It is a triangle, so use A = bh/2

A = (2)(6) / 2

   = 6 cm^2

Next I found the area of the rectangle using A = LW

A = (6)(3)

   = 18 cm^2

Total area = 18 + 6

                 = 24 cm^2

Hope this helps! Best of luck <3

Pls look at the picture I solved the are for each shape, I would really appreciate it if you could give me brainliest! Hope the answer helps!

what is 3.2 x 10^3=????????

Answers

[tex]\\ \rm\Rrightarrow 3.2\times 10^3[/tex]

[tex]\\ \rm\Rrightarrow 32\times 10^2[/tex]

[tex]\\ \rm\Rrightarrow 320\times 10^1[/tex]

[tex]\\ \rm\Rrightarrow 320(10)[/tex]

[tex]\\ \rm\Rrightarrow 3200[/tex]

Answer:

3200

Step-by-step explanation:

3.2·10^3

You move your decimal right three times. and you should get 3200.

3.2·10^3=3200

Calculate the sum and enter it below.
8+ (-12)

Answers

Answer:

-4 is the answer

Answer:

-4

Step-by-step explanation:

8+(-12)

+ x - = -

8-12

-4

____×____=126

Fill the blank pls I need it fast​

Answers

Answer:

Answer for this is 62 * 2 = 126

Step-by-step explanation:

Answer:

14×9=126

Step-by-step explanation:

how do you explain it lol

HELPPP pleasssse and thankssssss

Answers

Answer:

VW=4

Step-by-step explanation:

UW=VW+UV

5x-5=(x)+(3x-1)

5x-5=4x-1

5x-4x=-1+5

x=4

VW=x= 4

I hope I helped you^_^

Solve: 6 - x=-12 )
A) -18
B) C 0
D) 18​

Answers

Answer:

D) 18

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

[tex]6 - x = - 12 \\ constants \: nearer \\ 6 + 12 = x \\ x = 18 \\ thank \: you[/tex]

Does anyone know the equation to this trigonometric function? Step by step?

Answers

A general cosine function (we could also use a sine function) is written as:

y = A*cos(k*x + p) + M

We will find that the function of the graph is:

f(x) = 2*cos(2*x + 2.09) - 2

Let's return to the general function:

y = A*cos(k*x + p) + M

A is the amplitude, it defines the distance between the value of a maximum and the value of the minimum, such that A is exactly half of that difference.

Here we can see that the maximum is 0, and the minimum is -4

The differene is: 0 - (-4) = 4

Then:

A = 4/2 = 2

f(x) = 2*cos(k*x + p) + M.

M is the midline, this is, the horizontal line that cuts the graph in two halves. Here we can see that the midline is x = -2, then:

M = -2

f(x) = 2*cos(k*x + p) - 2

p is the phase shift.

In the graph, we can see that f(0) = -3, so we have:

f(0) = 2*cos(0 + p) - 2 = -3

      cos(p) = -1/2

             p = Acos(-1/2) = 2.09

Then we have:

f(x) = 2*cos(k*x + 2.09) - 2

Finally, k is related to the frequency of the function.

We can see that the function does a complete cycle at x = pi

This means that:

f(x) = f(x + pi)

Knowing that the period of a cosine function is 2*pi, then:

k*(x + pi) = k*x + 2*pi

k = 2

Then the equation of the graph is:

f(x) = 2*cos(2*x + 2.09) - 2

If you want to learn more, you can read:

https://brainly.com/question/24372261

Answer(s):

[tex]\displaystyle y = 2sin\:(2x + 1\frac{1}{4}\pi) - 2 \\ y = 2cos\:(2x - 1\frac{1}{4}\pi) - 2[/tex]

Step-by-step explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{5}{8}\pi} \hookrightarrow \frac{-1\frac{1}{4}\pi}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{5}{8}\pi} \hookrightarrow \frac{1\frac{1}{4}\pi}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then by all means, go for it, but be careful and follow what is explained here. Now, as you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2sin\:(2x - 1\frac{1}{4}\pi) - 2,[/tex] in which you need to replase “cosine” with “sine”, then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex] which means the C-term will be negative. Now, BEFORE we go any further, we must remember that this particular cosine graph [thank goodness it is a cosine graph we are working with] ALREADY has a horisontal shift and does not have a single crest oscıllαtıng about any endpoint on the y-axis. So, in this case we need to figure out how far the FIRST oscıllαtıng crest is from the origin, and that obviously would be [tex]\displaystyle \frac{5}{8}\pi\:units.[/tex] Though, sinse we want the sine equation of this graph, it must be “negative”; so, by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{5}{8}\pi} = \frac{-1\frac{1}{4}\pi}{2},[/tex] in which the value of C is [tex]\displaystyle -1\frac{1}{4}\pi.[/tex] So, the sine equation of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2sin\:(2x + 1\frac{1}{4}\pi) - 2.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [\frac{7}{8}\pi, -2],[/tex] from there to [tex]\displaystyle [-\frac{\pi}{8}, -2],[/tex] they are obviously [tex]\displaystyle \pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -2,[/tex] in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**As you can see, this is one of those moments where you will really need to be careful because if you notised, both equations have OPPOCITE horisontal shifts and C-values. Now, the ONLY TIME this occurs is when all crests in a SINUSOIDAL graph cycle half-way in between endpoints. Your best bet is to jot this down for when you see graphs like these in the future.

I am delighted to assist you at any time.

04 Name the
Name the property
1(-15) X (-56)
1) (-72) X 26 26 X4-72)
m) 3% (-40) X 32 X 11-463) X32
(-15) X 105 (-15) X (100$;]-1-15) %100 f15XSI

Answers

Answer:

integers integers OK ok ok ok ok ok ok

If a ray bisects an angle, each newly formed angle measures 90 degrees.
A) Sometimes
B) Always
C) Never

Answers

Answer:

A) Sometimes

A ) Sometimes is the correct answer because b) always and c) never is not possible

it cannot be always measured 90 degrees

A ) sometimes is the correct answer

Which statement is true about the function represented by this graph?

Answers

Answer: Choice D)

The function has a range of all real numbers less than or equal to 2.

=======================================================

Explanation:

Let's go through the answer choices to see which are true, and which are false.

A) This is false because (0,-2) is a y intercept, and not an x intercept. A zero of a function is always an x intercept.B) This is false. The curve peaks at the vertex (2,2) showing we have a max point, and not a min point.C) This is false. A function can have at most one y intercept. If it had more than one y intercept, then it wouldn't be a function (since the input x = 0 leads to more than one output).D) This is true. The range is the set of possible y outputs. We see that y = 2 is the largest output, which occurs at the vertex. We can get anything smaller than this y value. Therefore, the range is the set of y values such that [tex]y \le 2[/tex]

Answer:

option D

Step-by-step explanation:

THE FUNCTION HAS A RANGE OF ALL REAL NUMBERS LESS THAN OR EQUAL TO 2

Express 2³a²b in factor form​

Answers

The given expression can be written in factor form as 4a(2ab)

Given:

2³a²b to be expressed in factor form

To express the above given expression in factor form follow the steps below;

expand the expression = 2³a²b = 2 x 2 x 2 x a x a x b)factorize by using the common factor = 4a(2ab)

Finally, the given expression can be written in factor form as 4a(2ab)

To learn more about factorization, please visit: https://brainly.com/question/11909547

What’s the answer to this?

Answers

Answer:

you need to make a line by using the tools

Simplify. x/4+x/3//x/2

Answers

Answer:

Step-by-step explanation:

Three identical squares are placed side by side to form a rectangle with a perimeter of 104 inches. What is the area, in square inches, of each square?​

Answers

Answer:

13 inches

Step-by-step explanation:

I have done a Little draw because I don't know how i can explain you this exuse me

I’m having a hard time finding the answer, any help is appreciated (:

Answers

Answer:

True.

Step-by-step explanation:

It fails the vertical line test. The vertical line test checks to see if any inputs (x values) have more than one output. In this case, they do.

Please help me asap it's for a grade.​

Answers

Answer:

212 in²

Step-by-step explanation:

Top and bottom:

2(2 + 4)*4 = 48

Front and back:

2(4*7 + 2*10) = 96

Left and right:

10*4 + 4*7 = 68

Total surface area:

48 + 96 + 68 = 212 in²

Answer:

=280

Step-by-step explanation:

Step 1:

find the surface areas of both the figures

area of 1rst:

length = 2

width =4

height = 10

surface area formula = 2(wl+wh+hl)

= 136

area of second

length = 4

width =4

height = 7

surface area formula = 2(wl+wh+hl) =

2·(4·4+7·4+7·4)=144

144 + 136 = 280

I hope this helps!! :)

could anyone help with this, thanks !!

Answers

Answer:

Step-by-step explanation:

solve 7y 4/y 2 = -4/3

Answers

Answer:

Step-by-step explanation:

(7y+4)/(y+2)=-4/3

[tex]\dfrac{7y+4}{y+2}=\dfrac{-4}{3}\\\\[/tex]

Cross multiply,

(7y + 4) * 3 = -4*(y+ 2)

Use distributive property,

7y*3 + 4*3 = -4*y + 2*(-4)

21y + 12 = -4y - 8

Subtract 12 from both side

21y = -4y - 8 - 12

21y = -4y - 20

21y + 4y = -20

25y = -20

y = -20/25

[tex]y=\dfrac{-4}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7y+4}{y+2}=\dfrac{-4}{3}[/tex]

[tex]\\ \sf\longmapsto 3(7y+4)=-4(y+2)[/tex]

[tex]\\ \sf\longmapsto 21y+12=-4y-8[/tex]

[tex]\\ \sf\longmapsto 21y+4y=-8-12[/tex]

[tex]\\ \sf\longmapsto 25y=-20[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{-20}{25}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{-4}{5}[/tex]

A pizza parlor offers 4 different pizza toppings. How many different kinds of 2-topping pizzas are available?

Answers

Answer:

you need to be more specific.

Step-by-step explanation:

Help me please I need it

Answers

The answer to the question is b

Answer:

Equation B.

Step-by-step explanation:

Subtract 4 from both sides in the equation 11r+4=55. You will see that it is equivalent to equation B.

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