In a bag of sweets, 6 are orange and 9 are lime. Jodi chooses a sweet at random, eats it an
then chooses a second sweet at random.
What is the probability that both sweets are the same flavour?
(3 Points)

Answers

Answer 1

Answer:[tex]\frac{17}{35}[/tex]

Step-by-step explanation:

Given

The bag contains 6 orange and 9 lime sweets

For both sweets of the same flavor, Jodi must either choose orange or lime

No. of ways it can be done is [tex]^6C_1\times^5C_1+^9C_1\times^8C_1[/tex]

The total no of ways of selecting two sweets out of 15 is [tex]^{15}C_1\times^{14}C_1[/tex]

The probability that both sweets are the same flavor

[tex]P=\dfrac{^6C_1\times^5C_1+^9C_1\times^8C_1}{^{15}C_1\times^{14}C_1}=\frac{102}{210}=\frac{51}{105}=\frac{17}{35}[/tex]


Related Questions

Please answer it is urgent.

Answers

Answer:

2/3

Step-by-step explanation:

The slope is a 2/3 gradient :>>

Answer:

I believe that the answer is 2/3.. but I may be wrong...

Step-by-step explanation:

Do you links of a rectangle is for X +7 and the width is three if the area of the rectangle is 129 square units what is the value of X

Answers

Answer:

x = 36

Step-by-step explanation:

Length of a rectangle, x+7

Width = 3

Area of the rectangle, A = 129 units²

The area of a rectangle is given by :

A = lb

So,

[tex](x+7)\times 3=129\\\\(x+7)=43\\\\x=43-7\\\\x=36[/tex]

So, the value of x is equal to 36.

The budget for a school dance is $390.00. Decorations and refreshments cost $150.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?

Answers

Answer:

The maximum number of hours the school can have the band play at the dance is 4.

Step-by-step explanation:

150 + 100 + 35x ≤ 390

250 + 35x ≤ 390

subtract 250 from both sides

35x ≤ 140

divide by 35 on both sides

x ≤ 4

Allison has an account balance of -$50.15. Does Allison owe the bank more or less than $50?

Answers

Answer: Allison owes the bank more then $50

Answer:

Allison will need more than $50.

Step-by-step explanation:

If you add 50 to -50.15, there is still -.15 cence left. So Allison will need more than $50 to have a positive balance.

7. What is the slope of the line that passes through the points (14, -18) and (5, -12)?​

Answers

Answer:

slope =[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope, or [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, substitute the x and y values of the points (14, -18) and (5, -12) into the formula and solve:

[tex]m = \frac{(-12)-(-18)}{(5)-(14)}\\m = \frac{-12+18}{5-14}\\m = \frac{6}{-9} \\m = -\frac{2}{3}[/tex]

Thus, the slope is [tex]-\frac{2}{3}[/tex].

What is the value of x in the triangle shown

A. 116
B. 57
C. 19
D. 123

Answers

Answer:

C. 19

Step-by-step explanation:

90+26=116

180-116=64

3x+7=64

3x=57

x=19

There are 35 students in a classroom. The ratio of girls to boys is 2 to 3. How many boys and how many girls are there in the classroom?

Answers

Answer:

15 girls and 10 boys

Step-by-step explanation:

Answer:

students=35

ratio of girls to boys=2:3

2+3=5

girls.

⇒[tex]\frac{2}{5}[/tex]×35

⇒2×7

⇒14

boys

⇒[tex]\frac{3}{5}[/tex] × 35

⇒3×7

⇒21

Step-by-step explanation:

6²•8² = [?]
Enter the value that goes in the box​

Answers

Answer:

36 * 64

= 2304

Hope it help

How do solve for x in supplementary ,complementary and vertical angles

Answers

U do supplementary + complementary
Supplementary plus complementary

help 8+x2=−12..im confused

Answers

Answer:

Step-by-step explanation:

No real solutions exist. Subtract 8 on both sides to get:

[tex]x^2=-20[/tex]

You cannot take the square root of a negative number without involving imaginary numbers.

Answer and Explanation

__________________________________________________________

-10

__________________________________________________________

The answer is -10 because...

You need to multiply 2 by "x," and to find out what "x" is, we need to add...

[tex]2+-12[/tex]

__________________________________________________________

And if we add  [tex]2[/tex] by [tex]-12[/tex], we get [tex]-10[/tex], which is our answer.

__________________________________________________________

and now, if we add [tex]-20[/tex] by  [tex]8[/tex], we get [tex]-12[/tex], which is what the equation equals, and this is how we know it is correct.

__________________________________________________________

Hope this helps! :)

I have to turn it in by tonight​

Answers

Answer: (x,y) -> (x,-y)

Step-by-step explanation:

If you take any point, for example (-1,1) from the blue shape, you have to multiply the y value by -1 to get to (-1,-1) for the red shape. You can test it out with any point on the two figures.

Also, by looking at it, you can see that it is a reflection over the x axis and a reflection over the x axis always just multiplies the y value by -1.

hello can someone help me with this?

Answers

Answer:

11/21/52100-1-1/2-1/5-2-10

Which expression conatins like terms?
a
4c + 6y - 15

b
7d - 5 + 3g

c
66 - 32v + 21 - 14t

d
5y + 6y - 45
PLEASE HELP

Answers

D...................

Fireworks are set off from a hill 80 feet above the Mississippi. The outer
shells will fall after exploding at its maximum height. The firework's height
about the surface of the river is given by the function h(t) = -16t^2 + 64t +
80. What is the height of the rocket after 1.5 seconds?

Answers

Answer:

752 ft

Step-by-step explanation:

Assuming t represents time, and the time we are trying to find is how high the rockets go after 1.5 seconds, we must take the equation and put 1.5 in wherever t occurs, this looks like:

-16(1.5)²+64(1.5)+80

solving this, we get:

-24²+96+80

576+96+80

752

Becky invests £5000 for 2 years in a bank account.
She gets simple interest at a rate of 3% per year.

Work out the total amount of interest Becky gets by the end of 2 years.

Answers

Answer:

£5300

Step-by-step explanation:

-first you find 3% of 5000, which is £150

-£150 only represents the intreset for one year, but becky invests for 2 years, so:

150*2= 300

-add them together:

300+5000=5300

I suck at math please help!

Answers

Answer:

62

Step-by-step explanation:

the triangles angles always add up to 180 degrees

66+52=118

180-118=62

hope this helps :) have a nice day !!

Ali has invited 18 adults and 6 children to a cookout.
Mo, Ali’s best friend, suggests that Ali seat an equal number of adults and an equal number of children at each table.
What is the greatest number of tables Ali could use? How many adults and how many children would be seated at each table? Explain.

Answers

3 tables and is going to be 6 adults and 3 kids at each because you just have to divide 18 by 6

Answer:

Ali could use 6 tables. There would be 3 adults

and 1 child seated at each table.

Step-by-step explanation:

GCF to find the number of tables:

18: 1, 2, 3, 6 , 9, 18;

6: 1, 2, 3, 6 .

if 4 books cost $52, how much will 2 books cost?​

Answers

Answer:    2 books would cost $26.

Step-by-step explanation:

4 books : $52                 You need to get down to 2 books. Divide 4 by 2 and .............................................52 by 2.

2 books : $26

You travel 36 miles north and then 15 miles east. How far are you from your starting point?

Answers

Answer:

21 is the correct answer because

help with hw plz also I already found x ​

Answers

Step-by-step explanation:

If you found x already just look for the triangle that equals 180 or whatever the total angle is for problem.

1. Acute 2. Obtuse 3. Right
4. Obtuse 5. Right 6. Acute
7. Acute 8. Obtuse 9. Right

What is the new location of the point (7,-8)
when it has been rotated 90 degrees?

Answers

Answer: The answer is A

Step-by-step explanation:


Explain how to solve the equation 21 = m +14. What is the value of m?
Enter your explanation and answer in the space provided.

Answers

Answer:

m = 7

Step-by-step explanation:

21 = m + 14

21 - 14 = m

m = 7

Identify the transformation that was applied to this letter


A. Rotation about the origin
B. Reflection over the x-axis
C. Translation
D. Reflection over the y-axis

Answers

it should be A ) Rotation about the origin

If f(1) = 9 and f(n) = 4f(n − 1) then find the value of f(4).

Answers

Answer:

576

Step-by-step explanation:

f(2) = 4f(1) = 4*9 = 36

f(3) = 4f(2) = 4 * 36 = 144

f(3) = 4f(3) = 4 * 144 = 576

Earth makes a full rotation every
24 hours, Noptune makes a full rotation
every 16 hours. What is the ratio of
Earth rotations to Neptune Rotations?
(in simplest terms)

Answers

Answer:

I think the ratio is 3:2 :)

24:16=12/8=6/4=3/2. The answer would be 3:2 bc you divide both sides by 8 or, like I did, divide it by 2 three times.

102 = 1.2 x w
what is w?

Answers

Answer:

122.4

Step-by-step explanation:

Just Divide.

Answer:

85

Step-by-step explanation:

1x2 x 85 = 102

PLSS HELP ME IN MATH!!!

Answers

..........the answer is 48 × 10^-8

Solve x2 + 10x = 24 by completing the square. What is the solution set of the equation? Show your work.

Answers

Answer:

32.6193819

Step-by-step explanation:

calulater never lies XD

Answer:

The answer should be: x=2,-12

which on your answer should backwards: {-12,2}

Step-by-step explanation:

The value of y varies directly with x. When y = 75, X = 3. What is the value of y when * is is 21​

Answers

Answer:

7

Step-by-step explanation:

21 / 3 = 7

I hope this helps u! :D

What is m∠1?....................

Answers

answer is 147

hope that helped

Answer:

m∠1 = 147°

Step-by-step explanation:

triangle = 180°

117 + 30 = 147

180 - 147 = 33

line = 180°

180 - 33 = 147

m∠1 = 147°

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