At an ice cream shop, 4 of the last 12 cones sold had chocolate ice cream. Considering this data, how many of the next 15 cones sold would you expect to have chocolate ice cream?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(chocolate)

=

chocolate

total

=

4

12

=

1

3

The experimental probability is

1

3

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1

3

=

n

15

1

3

(315)

=

n

15

(315) Multiply both sides by (315)

115

= 3n Simplify

15

= 3n Simplify

5

= n Divide both sides by 3

You would expect 5 of the next 15 cones sold to have chocolate ice cream.


Related Questions

Pls help and thank youuuu

Answers

Answer:

-3

Step-by-step explanation:

3 cubed is 27 and since its a negative integer you keep the (-) symbol.

The would have been 3 if it asked for the negative cube root of -27

The graph below shows a proportional relationship between y and x.

What is the constant of proportionality, y/x?

y to x
40 1
60 1.5
80 2

Answers

Answer:

80 2

Step-by-step explanation:

am not sure about that answer i think it is correct

Answer:

40

Step-by-step explanation:

The length of a track around a field is 1/4 miles. You run 3 1/2 times
around the track. How far did you run?

Answers

Answer: 7/8 of a mile

How do I do this math problem

Answers

the answer to the problem is:

M = 1

What is the equation of the line that passes through the point (2,-4)(2,−4) and has a slope of 22?

Answers

Y = mx + b
m = slope. Find b
Y = 22x + b
Plug in the point
-4 = 22(2) + b
-4 = 44 + b, b = -48
Solution: y = 22x - 48

Find the volume of a pyramid with a square base, where the perimeter of the base is 6.9 cm and the height of the pyramid is 6.4 cm. Round your answer to the nearest tenth of a cubic centimeter

Answers

Answer:

6.3 cm^3

Step-by-step explanation:

volume of a pyramid = 1/3(length x width x height)

perimeter of a square = 4 x length

6.9 = 4 x length

length = 6.9 /4 = 1.725

Volume = 1/3 x (1.725 x 1.725 x 6.4) = 6.348

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

A random sample of adults was surveyed about whether they shop online. Of the 90 adults surveyed, 72 stated they shop online. What is the 99% confidence interval for p, the proportion of adults who shop online?

Find the z-table here.

(0.72, 0.88)
(0.70, 0.90)
(0.69, 0.91)
(0.68, 0.92)

Answers

Answer:

(0.69, 0.91)

Step-by-step explanation:

Hope this helps!

The 99% confidence interval for p is (0.698, 0.902), which is closest to option (B) (0.70, 0.90).

What is a confidence interval?

A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.

To find the 99% confidence interval for the proportion of adults who shop online, we need to use the formula:

CI = p ± z√((p(1-p))/n)

where p is the sample proportion (72/90 = 0.8), n is the sample size (90), and z is the z-score corresponding to the 99% confidence level (from the z-table, this is 2.576).

Substituting the values, we get:

CI = 0.8 ± 2.576√((0.8(1-0.8))/90)

Simplifying, we get:

CI = 0.8 ± 0.102

Therefore, the 99% confidence interval for p is (0.698, 0.902).

To learn more about the confidence interval;

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Hypnosis is a state of human consciousness involving a heightened sense of focus and concentration while blocking out sources of distraction. Researchers believe 80% of all people can be hypnotized. A random sample of 50 people showed that 42 of them were hypnotized successfully. Find the p-value and z-score to determine to show that 80% or more can be hypnotized.

a. p = 1.84, z = 0.71
b. p = 1.71, z =1.84
c. p = 0.71, z = 0.84
d. p = 0.76, z = 0.71

Answers

The answer is c that’s the answer

Lana is putting lace trim around the
border of a circular tablecloth. The
tablecloth has a diameter of 1.2 meters.
To the nearest meter, what is the least
amount of lace she needs? Use 3.14 for T.

Answers

Answer:

[tex]1.2 \times 3.14[/tex]

Step-by-step explanation:

The ratio of a circumference to its diameter is equal to an irrational number, called pi, roughly equal to 3.14, denoted by symbol

[tex]\pi[/tex]

Therefore, knowing the diameter d, the circumference is equal to d*π

20/22 is the tangent value of which reference angle

Answers

Answer:

X

Step-by-step explanation:

Mathematically, the tangent of an angle is the ratio of the opposite side to the adjacent side

So, for 20/22; 20

is the opposite while 22 is the adjacent

The opposite side simply refers to the side that faces the given angle

We have the opposite side here as facing the angle X and that makes X the correct answer

thisss plsss and thank you

Answers

Answer:

65°

Step-by-step explanation:

81°+124°+90° (right angle) = 295

360-295 = 65°

uhh i dont understand but if you do all of these I will give you brainliest on all of your answers it

Answers

Answer:

Step-by-step explanation:

recursive formula for 3,5,7,9,11

Answers

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 5 - 3 = 7 - 5 = 9 - 7 = 11 - 9 = 2

A recursive formula allows a term in the sequence be found by adding d to the previous term, then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2 : with a₁ = 3

Can someone explain it to me?

Answers

9514 1404 393

Answer:

  175.2 square feet

Step-by-step explanation:

The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.

It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.

Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.

  LA = Ph . . . . perimeter times height

  LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width

  LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²

The lateral area of the prism is 175.2 ft².

__

The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.

What’s the answer for this

Answers

the angle is 37 degrees

Answer:

36.87°

Step-by-step explanation:

tan x= opposite/adjacen

x=tan ^-1(300/400)

x=36.86989765

8. The two triangles are congruent as suggested by their appearance. Find the value of all the variables. The
diagrams are not to scale.

Steps would be extremely appreciated (20 points)

Answers

Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .

Step-by-step explanation:

Since they're congruent you just compare the two and replace them. You have the answers on both sides, they're just split up. So look at one side, then the other, and see what you can find. Repeat.

Answer and Step-by-step explanation:

Since the triangles are congruent, that means all the variables correspond to the values of the other triangle, and vise versa.

g = 13

b = 12

f = 37

a = 90

c = 5

d = 53

I hope this helps!

#teamtrees #PAW (Plant And Water)

Question 4
.1 The ratio of boys to girls at an athletics practice is 4:3. There are 49 athletes in total at the
practice. How many boys were at the practice?
2 In a maths class, the girl to boy ratio is 7:5. If there are 20 boys,
how many girls are in the class?
B A car travels from Polokwane to Mokopane at a speed of 100 km/h.
If Mokopane is 150 km from Polokwane, how long will the trip take?
[7]
estion 5​

Answers

Answer:

1) 28

2) 28

B) 1 and 1/2 hr

HELP ME PLZZZZ!!!!!!!!!!!!!!!!!!

Answers

the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the radius will be 3

slant height is

[tex]\sqrt{r^2+h^2}[/tex]

h is 4.7 and r is 3

[tex]\sqrt{3^2+4.71^2} \\5.58427[/tex]

slant height is 5.58427

lateral surface area

[tex]\pi r\sqrt{h^2+r^2}[/tex]

[tex]\pi (3)\sqrt{4.71^2+3^2} \\52.63053[/tex]

lateral surface area is 52.63053

total surface area

[tex]\pi r(r+\sqrt{h^2+r^2})[/tex]

[tex]\pi 3(3+\sqrt{4.71^2+3^2})[/tex]

[tex]80.90486[/tex]

total surface area is 80.90486

The slant height of the cone is 5.6km, the total surface area is 50.4πkm, the lateral surface area is 16.8π km.

What is a cone?

A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreases to a certain point.

The volume of a cone is (1/3)πr²h.

The total surface area of a cone is πr(r + l).

The curved surface area is πrl.

In the given question radius of the cone is (6/2) km = 3 km.

The slant height of the cone is 5.6 km.

The total surface area of the cone is = π×3(3 + 5.6) km.

= 3π(16.8) km.

= 50.4π km.

lateral surface area is = π×3×5.6 km.

= 16.8π km.

learn more about cones here :

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What is the answer to the question

Answers

Step-by-step explanation:

[tex] \frac{360 - 2(99)}{2} = \\ = \frac{360 - 198}{2} = \\ = \frac{162}{2} = \\ = 81[/tex]

Answer: 81°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

So as a and 99° are on the same straight line you would have to do 180-99=81°

Hope this helps :)

Help ASAP! 40 points plus brainly !

Answers

Step-by-step explanation:

use the distance formula. calculate the distance between AB and then between CD showing AB = CD.

then use the distance formula on BC and AD, showing they are equal.

d=√((x_2-x_1)²+(y_2-y_1)²)

Jeffery is making a wall design with tape. How much tape does he need to put the design shown on his wall? Explain how you used the information in the diagram to find your answer

Answers

Answer:

I can't see the diagram could you attach it

Step-by-step explanation:

Carla and Andrew have 29 puppies. Andrew has 8 more than twice Carla How many puppies does person have?

Answers

Answer:

Andrew has 22 puppies, Carla has 7 puppies.

Step-by-step explanation:

Let's set up an equation.

Carla and Andrew have 29 puppies.

C + A = 29

Andrew has 8 more than twice Carla.

A = 2C + 8

Let's use substitution by plugging A into C + A = 29.

A = 2C + 8 & C + A = 29

C + (2C + 8) = 29

Now, let's combine like terms.

3C + 8 = 29

Subtract 8 from both sides.

3C = 21

Divide both sides by 3.

C = 7

Carla has 7 puppies. Plug in this value back into C + A to find how many puppies Andrew has.

C + A = 29

7 + A = 29

A = 22

Andrew has 22 puppies.

Let's check our work. Plug in Andrew and Carla's number of puppies back into our original equations.

C + A = 29

7 + 22 = 29

29 = 29

Correct!

A = 2C + 8

22 = 2(7) + 8

22 = 14 + 8

22 = 22

Your answer is correct!

Hope this helps!

This is from my algebra class, can anyone can answer this?

Answers

Answer:

y = (x + 1)^2 + 2

Step-by-step explanation:

The graph is 2 units up and 1 unit to the left

a = 1 because from the vertex, it goes 1 up when left/right, then 4 up when left/right

The shape below is made of a semicircle and a triangle.
2)
16 cm
12 cm
Determine the area of this shape
Show your work

Please help me I will give 10 points
Please only correct answers

Answers

Answer:

32π + 96 [tex]cm^{2}[/tex] = exact area

196.48 [tex]cm^{2}[/tex] = area to the nearest 100th

Step-by-step explanation:

Area of semicircle = 1/2π[tex]r^{2}[/tex] = 1/2π[tex]8^{2}[/tex] = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 [tex]cm^{2}[/tex]

or 100.48 + 96 = 196.48 [tex]cm^{2}[/tex]

32π + 96 cm²  = exact area

196.48 cm²  = area to the nearest 100th

What is a semi-circle?

A semicircle is a one-dimensional locus of points that makes up one half of a circle in mathematics. A semicircle's whole arc is always 180 degrees long. It just has one symmetry line.

Given

Area of semicircle = 1/2πr² = 1/2π(8)² = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 cm²

or 100.48 + 96 = 196.48 cm²

To know more about semi-circles refer to:

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in the equation shown, what is the value of x?

Answers

Answer:

5^8/5^x=5^6 the asnwer is 2

find the greatest value of x​

Answers

Answer:

30°

Step-by-step explanation:

if correct pls mark brainliest

There are 4 red marbles and 7 blue marbles in a bay.

(a) What is the ratio of all marbles in the bag to blue marbles?

(b) What is the ratio of all marbles in the bag to red marbles?

Answers

Answer:

a:  11:7

b: 11:

I hope this helped :)

a: the ratio of all marbles in the bag to blue marbles is 11:7.


b: the ratio of all marbles in the bag to red marbles is 11:4

What is the distance between (5, -6) and (2, -6) on a coordinate plane?

Answers

Answer:

3 units is the answer..

hope it helps

A bike shop in Belleville bought a mountain bike for $723 and marked it up 50% from the original cost. Later on, Andy purchased the mountain bike and paid Belleville sales tax of 14%. How much, including tax, did he pay for the mountain bike?

Answers

Answer:

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto.

Step-by-splanation:

Answer:

hey

Step-by-step explanation:

so i dont know

how to solve this and i cant help u

i need help with my homework, and the question is:
what is the equation of line? write in the form y=mx+b
it passes through (2,-5) and its x-intercept is 4.

Answers

Answer:

When the line intercepts the x axis, this means that y will be 0.

therefore the 2 coordinates the line passes through are (2,-5) and (4,0)

given equation of line:

y=mx+b

where m = slope

b = y-intercept.

Let (2,-5) and (4,0) be (x1,y1) and (x2,y2) correspondingly.

slope of line = y1-y2 / x1 - x2

[tex] = \frac{ - 5 - 0}{2 - 4} \\ = \frac{ - 5}{ - 2} \\ = \frac{5}{2} [/tex]

Now substitute x = 4, y = 0 and m = 5/2 into equation of line to find b.

[tex]0 = ( \frac{5}{2} )(4) + b \\ 10 + b = 0 \\ b = 0 - 10 \\ = - 10[/tex]

therefore equation of line will be:

[tex]y = \frac{5}{2} x - 10[/tex]

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