A baker packed 24 cupcakes into each box. After he had packed 37 boxes of cupcakes, there were 248 cupcakes left. How many cupcakes were there altogether?

Answer:

308

Step-by-step explanation:

144+108+56=308

Using the hypergeometric distribution, it is found that there is a 0.0316 = 3.16% probability that both Rose and Liz will be  selected.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that both are selected is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,20,4,2) = \frac{C_{2,2}C_{18,2}}{C_{20,4}} = 0.0316[/tex]

0.0316 = 3.16% probability that both Rose and Liz will be  selected.

A similar problem is given at https://brainly.com/question/24826394

Answer:

25/2

Step-by-step explanation:

5/6 x 15=12.5

12.5 in simplest form is 25/2

Answer:

Granny is correct

Step-by-step explanation:

Hope it helps

Answer:

The answer is A

Step-by-step explanation:

A is equal to the amount of students that were absent.

Answer:

$5 + 4x = 25

Step-by-step explanation:

let x = eraser

4 × x = 4x

$5 + 4x = $25

Answer:

$395.55

Step-by-step explanation:

45%+10%=55%

100%-55%=45%

Since 45% is 45/100 in fractions, use that x 879 for the final price.

45/100x879=395.55

Hope this helps! Thanks.

Answer:

435.11

Step-by-step explanation:

First find the sale price of the computer. Then take the additional 10% off of the sale price.

Answer:

try b or c hop this help have a good day

Answer:

D

Step-by-step explanation:

the answer is D.. nothing to say step by step

Answer:

Undefined

Step-by-step explanation:

the equation for slope is y2-y1/x2-x1

(-2-6)/(-7-(7))= -8/0

This would leave you with an undefined slope.

Answer:

z = 72

Step-by-step explanation:

-1/4z + 12 = -6

× 4

-z + 48 = - 24

-z = - 72

z = 72

Answer:

i don't understand this

Step-by-step explanation:

I don't understand this at all I have no been getting this in school

Answer:

9)x=-4

10)x=5

11)x=4

12)x=-9

13)x=-8

14)x=-3

Step-by-step explanation:

A triangle is 180º total so just add the numbers togeather and make an equation where they x+#s=180.

Answer:

Step-by-step explanation:

The ratio of height to shadow length will be proportional.

2.6 / 1.26 = h / 37.25

h = 37.25(2.6)/1.26 = 76.865079...

h = 76.9 m

for every completed length of audiobook, Zhen spends 6.5 hours working.

C.Zhen spends 6 1/2 hours working per audiobook

9514 1404 393

Answer:

Step-by-step explanation:

To find the cube root, divide all of the exponents by 3. For a cube root, the sign is unchanged.

A) ∛(-27/64a^9b^6) = -∛(3^3/4^3·a^9·b^6) = -3/4a^3b^2

__

B) 9.6×10^-8 ÷ (3×10^-7) = (9.6/3)×10^(-8-(-7)) = 3.2×10^-1

__

C) ∛(-0.001a^(3n+3)) = -∛(0.1^3·a^(3n+3)) = -0.1a^(n+1)

Answer:

attached

Step-by-step explanation:

Answer:

Turning point coordinates: (1,4)

Roots: -1, 3

y = - (x - 1)^2 + 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Your answer is A.

Anytime you have a variable or something that changes such as the month that is a variable so that means its going to be your x/m in this case

Based on the cost of the adult tickets and the children's ticket, the expression that can find the amount raised is 8x + 3y.

Also if those number of tickets were sold, the amount realized would be $3,054.

The total amount raised can be found as:

= (Number of adult tickets x price of adult tickets) + (Number of children's tickets x price of children's tickets)

Assuming the adult tickets are x and the children's tickets are y, the equation would be:

= (x × 8) + (y × 3)

= 8x + 3y

If 240 adult tickets and 378 children's tickets are sold, the amount realized would be:

= 8x + 3y

= (8 x 240) + (3 x 378)

= $3,054

In conclusion, the relevant expression is 8x + 3y and the amount raised would be $3,054.

Find out more at https://brainly.com/question/7268387.

Answer:

give me 1 min ill answer it

Step-by-step explanation:

Answer:

6.5%

Step-by-step explanation:

15.95+10.95+17.10 = 44

46.86-44 = 2.86

2.86/44 = 0.065

0.065 = 6.5%

Ratio = 2 : 5

Numbers = 2x & 5x

[tex]2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]

Numbers :-

2x = 2 × 3 = 6

5x = 5 × 3 = 15.

The numbers are 6 & 15.

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.2266 = 22.66% probability that the sample mean is greater than 63.

b) 0.1587 = 15.87% probability that the sample mean is less than 56.

c) 0.6147 = 61.47% probability that the sample mean is between 56 and 63.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 63, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{63 - 60}{4}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a p-value of 0.7734.

1 - 0.7734 = 0.2266

0.2266 = 22.66% probability that the sample mean is greater than 63.

Item b:

This probability is the p-value of Z when X = 56, so:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{56 - 60}{4}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.1587 = 15.87% probability that the sample mean is less than 56.

Item c:

This probability is the p-value of Z when X = 63 subtracted by the p-value of Z when X = 56.

These p-values were found in the previous items, so:

0.7734 - 0.1587 = 0.6147

0.6147 = 61.47% probability that the sample mean is between 56 and 63.

A similar problem is given at https://brainly.com/question/24663213

Answer:

x = 110°

Step-by-step explanation:

The sum of the interior angles in a quadrilateral is 360°. This means:

x + x + x - 30 + 1/2x + 5 = 360° - we can simplify this

3 1/2x - 25 = 360° - now add 25 to both sides

3 1/2x = 385 - finally divide both sides by 3 1/2

x = 385 ÷ 3.5 = 110

x = 110°

Hope this helps!

Answer:

14.6cm

Step-by-step explanation:

The volume of a hemisphere is 2/3 × π × r³ → 6496 = 2/3 × π × r³. You can divide both sides by 2/3π to get r³ on its own → 3103.611531 = r³. To find r, cube root both sides → r = ∛3103.611531 = 14.5835... ≈ 14.6cm.

Hope this helps!

The radius of a hemisphere with a volume of 6496 is 14.5 cm

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of a hemisphere is given by the formula V = (2/3)πrr³.

Since we are given the volume of the hemisphere, we can solve for the radius as follows:

V = (2/3)πr³

6496 = (2/3)πr³

Multiplying both sides by 3/2π, we get:

r³ = 6496 × (3/2π)

=6496×3/2×3.14

=19488/6.28

=3103.1

=∛3103.1

radius=14.5

Hence,  the radius of a hemisphere with a volume of 6496 is 14.5 cm

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Answer:

15/2

Step-by-step explanation:

Answer:

[tex]\displaystyle y = -\frac{2}{3} x + \frac{34}{3} \text{ or } 2x + 3y =34[/tex]

Step-by-step explanation:

We want to find the equation of a line that contains the point (5, 8) and is parallel to the graph of:

[tex]\displaystyle 2x + 3y = 9[/tex]

Recall that parallel lines have equal slopes.

Find the slope of the given graph by rewriting it in slope-intercept form:

[tex]\displaystyle \begin{aligned} 2x + 3y & = 9 \\ \\ 3y & = -2x + 9 \\ \\ y & = -\frac{2}{3} x + 3 \end{aligned}[/tex]

Hence, the slope of the given graph is -2/3. Therefore, the slope of our new line must also be -2/3.

Since we now have a slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]

Substitution yields:

[tex]\displaystyle y - (8) = -\frac{2}{3}(x -( 5))[/tex]

We can simplify this into slope-intercept form:

[tex]\displaystyle \begin{aligned} y - 8 & = -\frac{2}{3} x + \frac{10}{3} \\ \\ y & = -\frac{2}{3} x + \frac{34}{3}\end{aligned}[/tex]

Or, into standard form:

[tex]\displaystyle \begin{aligned} y & = -\frac{2}{3}x + \frac{34}{3} \\ \\ 3y & = -2x + 34 \\ \\ 2x + 3y & = 34 \end{aligned}[/tex]

Answer:

21 ounces of flour

Step-by-step explanation:

10/3 = 70/x

isolate the so that it is on the top, so multiply by x on the right and on the left

this gives you:

x*10/3=70

try to isolate x and multiply by 3 to get rid of the denominator

x*10=70*3

x*10= 210

finally isolate x by dividing by 10 and getting rid of the 10 multiplying with it

x= 210/10

x=21

you need 21 ounces of flour if you have 70 ounces of sugar you can double check by making sure the ratio of 10/3 is equal to 70/21 and of course they both equal 3.33 repeating, therefore your answer is correct Hope that helps

Answer:

You would need 21 ounces of flour

Step-by-step explanation:

sugar:flour

10:3

10x7=70

70:?

3x7=21

70:21