Joanne is making 48 cupcakes for a bake sale.


1/4 of the cupcakes are chocolate.
1/8 of the cupcakes are strawberry.
The remainder of the cupcakes are vanilla.

How many of the cupcakes are vanilla?

Answer:

141.78 m

Step-by-step explanation:

Let d = distance of boat from the base of the lighthouse

Tan 10 = 25/d

d tan 10 = 25

d = 25/tan 10

d = 141.78 m

P(A) = 6/36 = 1/6, P(B) = 21/36 = 7/12, P(A|B) = P(A∩B) / P(B) = 6/36 / 21/36 = 6/21 = 2/7.  The outcomes in both A and B are: {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}. The number of outcomes in A and B = 6.

4.1 Sample Space and Events in Set Notation:

When a blue and red die are thrown simultaneously, the sample space, denoted by S, consists of all possible outcomes. Since each die has six faces numbered 1 to 6, there are 36 possible outcomes in total.

Sample Space (S): {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}

Event A represents the outcomes where the values on both dice are the same:

A = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}

Event B represents the outcomes where the value on the red die is greater than or equal to the value on the blue die:

B = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,2), (2,3), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5), (3,6), (4,4), (4,5), (4,6), (5,5), (5,6), (6,6)}

4.2 Calculating Probabilities:

P(A): To find the probability of event A, we divide the number of favorable outcomes (6) by the total number of outcomes (36).

P(A) = 6/36 = 1/6

P(B): To find the probability of event B, we divide the number of favorable outcomes (21) by the total number of outcomes (36).

P(B) = 21/36 = 7/12

P(A|B): To find the conditional probability of event A given event B, we need to find the probability of A and B occurring together and divide it by the probability of event B.

The outcomes in both A and B are: {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}

The number of outcomes in A and B = 6.

P(A|B) = P(A∩B) / P(B) = 6/36 / 21/36 = 6/21 = 2/7

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

Answer:

the bottom choice

Answer:

13x degrees

Step-by-step explanation:

brainliest????!!!

51in

Step-by-step explanation:

15x5=75

8x3=24

75-25=51

Answer:

hi

Step-by-step explanation:

the area of the little rectangle:

3 in × 8 in= 24 in

tge area of the shaded ragion:

5in × 15in =75in

75in - 24 in=51 in

hope it helps

have a nice day

Answer:

The deepest that Amy dove below the ocean's surface is 5 feet.

Step-by-step explanation:

Let the deepest that Amy dove below the ocean's surface be x.

7x = 35

x = 5 ft

Answer:

hi

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

it does add up to more then 60

Answer:

(a−5)(a−7)

Step-by-step explanation:

factor a2−12a+35

a2−12a+35

The middle number is -12 and the last number is 35.

Factoring means we want something like

(a+_)(a+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -12

Multiply together to get 35

Can you think of the two numbers?

Try -5 and -7:

-5+-7 = -12

-5*-7 = 35

Fill in the blanks in

(a+_)(a+_)

with -5 and -7 to get...

(a-5)(a-7)

Answer:

first multiples of 2 and second multiples of 1

The predicted value of y when x = 15 is given as follows:

15.8.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.

The points in this problem are given as follows:

(12, 18), (9, 35), (14, 12), (8, 40), (10, 31), (4, 33), (18,10).

Inserting these points into the calculator, the line of best fit is given as follows:

y = -2.28x + 50.

When the value of y when x = 15 is given as follows:

y = -2.28(15) + 50

y = 15.8.

More can be learned about linear regression at https://brainly.com/question/29613968

#SPJ4

Answer:

∠ W = 51°

Step-by-step explanation:

Since WX is the diameter , then

∠ WYX = 90° ( angle in a semicircle )

The sum of the 3 angles in a triangle = 180° , then

x + x + 12 + 90 = 180

2x + 102 = 180 ( subtract 102 from both sides )

2x = 78 ( divide both sides by 2 )

x = 39

Then

∠ W = x + 12 = 39 + 12 = 51°

Answer:

24/5: 48/10

22/3: 44/6

plz mark me as brainliest.

Answer:

Step-by-step explanation:

there is 1,000 total students... so divide 360 / 1000

so you have 0.36 for each student... then multiply by the freshmen,  

.36 * 300 = 108  :)

Answer:

− 3 = − 14

Step-by-step explanation:

Hope this helps !

Answer:

oh no homework not done

Step-by-step explanation:

mom:

Answer:

x = 6.9168 or x = 7

Step-by-step explanation:

Hope that helps :)

The function f(x) = 5x^2 + 20x + 25 can be rewritten in vertex form as f(x) = 5(x + 2)^2 + 5, and its vertex is located at (-2, 5).

To rewrite the function f(x) = 5x^2 + 20x + 25 in vertex form, we complete the square. The vertex form of a quadratic function is given by f(x) = a(x - h)^2 + k, where (h, k) represents the vertex.

Let's complete the square:

f(x) = 5(x^2 + 4x) + 25

To complete the square, we need to add and subtract (4/2)^2 = 4 to the expression inside the parentheses:

f(x) = 5(x^2 + 4x + 4 - 4) + 25

Rearranging the terms:

f(x) = 5((x^2 + 4x + 4) - 4) + 25

Now we can factor the perfect square inside the parentheses:

f(x) = 5((x + 2)^2 - 4) + 25

Expanding and simplifying further:

f(x) = 5(x + 2)^2 - 20 + 25

f(x) = 5(x + 2)^2 + 5

Therefore, the function f(x) = 5x^2 + 20x + 25 in vertex form is f(x) = 5(x + 2)^2 + 5. The vertex is given by the coordinates (-2, 5).

The correct question should be :

What is the vertex form of the function f(x) = 5x^2 + 20x + 25? Identify the coordinates of the vertex.

To learn more about vertex form visit : https://brainly.com/question/24850937

#SPJ11

Answer: This is what I have tried --

5 gallons : 3 weeks = x gallons : 52 weeks

5/3 = x/52 (cross multiply)

3x = 260 (divide by 3)

x = 86.6 or 87 gallons

Step-by-step explanation: hope this is right

Answer:

10 gallons of milk

Step-by-step explanation:

This question is a ration every three days the family drinks 2 gallons of milk (3:2) to find how much they would drink in 15 days all you would have to do is multiple both numbers by 5 to get 15:10. This represents how much milk they drink in 15 days.

Answer:

8x+5005073

Step-by-step explanation:

Answer:

(2x+3)(3x+2)

Step-by-step explanation:

.....

......

..............

Answer:

(2x + 3)(3x + 2)

Step-by-step explanation:

[tex]6x^2+13x+6 \\ \\ = 6x^2+9x + 4x+6 \\ \\ = 3x(2x + 3) + 2(2x + 3) \\ \\ = (2x + 3)(3x + 2)[/tex]

Answer:

$20.4

Step-by-step explanation:

20% of 17= 3.4

Add it to the initial $17 and you get $20.4

Answer: $20.40

Step-by-step explanation:

Since you're giving a 20% tip, your total will be 120% the price of the shampoo and cut.

17 * 120%

= 17 * 1.2

= 20.4

The total amount of money you spent at the salon and barbershop is $20.40

Your answer is correct :)

Answer:

[tex]x=-12[/tex]

Step-by-step explanation:

[tex]3x+5=2x-7[/tex]

Subtract 2x from each side,

[tex]x+5=-7[/tex]

Subtract 5 from each side to find x,

[tex]x=-12[/tex]

Step-by-step explanation:

As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.

=> (1/2)m = - 1

=> m = - 2

Thus, required line is

=> y - (-8) = (-2)(x - 3)

=> y + 8 = -2(x - 3)