The total amount it would cost to make 110 bon bons given the cost per gram is $24.52.
What is the total amount it would cost to make 110 bon bons?The first step is to determine the gram used in making the chocolate.
Gram = density x volume
Volume = 4/3πr³
4/3 x 22/7 x (2/2)³ = 4.19cm³
Gram = 4.19cm³ x 1.33 = 5.57 g
Cost of 110 bon bons = 5.57 x 0.04 x 110 = $24.52
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A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. The authors of the study wanted to know if the two groups of teachers had different levels of job satisfaction. They will use a significance level of 5% for their test. Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 What is (are) the critical value(s) for z in this study? –1. 65 and 1. 65 –1. 96 and 1. 96 1. 65 1. 96.
The Critical z-values are -1.96 and 1.96 option second is correct.
It is given that the teachers were allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes.
It is required to find the critical z-values.
What is the critical value of Z?It is defined as the area region enclosed by the standard normal curve or bell curve. It gives an idea about every variable, and what value of probability the variables acquire.
We are assuming the data given below:
x = 3.5
[tex]\mu =3.3[/tex]
[tex]\sigma = 0.6[/tex]
n = 40
We know the formula for the Z score:
[tex]\rm Z = \frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]\rm Z = \frac{3.5-3.3}{\frac{0.6}{\sqrt{40} } }[/tex]
Z = 2.10
The area under the normal distribution curve:
P(Z= 2.10) = 0.9821 ( from the z table)
We have null hypothesis H0: in the two groups, the level of job satisfaction is the same ie. with no difference.
H1: There is a significant difference in levels of job satisfaction.
The above hypothesis defined that the test is two-tailed which means there will be two rejection regions.
The critical z-values are:
-1.96 and 1.96 (from the critical value calculator at a 5% significance level with two-tailed)
Thus, the Critical z-values are -1.96 and 1.96 option second is correct.
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The ratio of passenger cars to cargo cars in
the rail yard is 7:35. If there are 105 cargo
cars, how many cars are there altogether?
Answer:
126
Step-by-step explanation:
the number of cargo cars is represented by the 35 part of the ratio , then
105 ÷ 35 = 3 ← value of 1 part of the ratio , then
passenger cars = 7 × 3 = 21
total cars = 105 + 21 = 126
A puppy weighs 4 pounds. How many ounces does the puppy weigh?
Answer:
64 ounces
Step-by-step explanation:
Since 1 lb = 16 oz, just do 4 × 16 = 64
If puppy weighs 4 pounds then the weigh in ounces is 64 ounces.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
There are 16 ounces in a pound.
1 pound= 16 ounces.
Given that puppy weighs 4 pounds.
We have to find the wight in ounces.
To convert pounds to ounces, we need to multiply the weight in pounds by 16.
The puppy weighs 4 pounds x 16 ounces/pound
= 64 ounces
Hence, if puppy weighs 4 pounds then the weigh in ounces is 64 ounces.
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Jacob sells his motorbike for £112 making a loss of 12% on its original price. Work out its original price
Answer:
125,44
Step-by-step explanation:
Loss = 112÷100*12
=13,44
Therefore : 112 + 13%
=112 + 13,44
=125,44
Rewrite 4 as a fraction.
4/4
4/1
1/4
Answer:
4/1
Step-by-step explanation:
when you divide 4 by 1 you will get 4 which is your original answer.
Walnuts are priced
according to the chart
below.
POUNDS (LBS)
COST (S)
3
$7.77
5
$ 12.95
8
$20.72
What is price per pound for the
walnuts?
A.
$2.59
B. $3.86
C. $2.17
D. $3.07
Answer:
A. $2.59
Step-by-step explanation:
If you divide the costs by the pounds:
3/7.77 = 2.59
12.95/5 = 2.59
20.72/8 = 2.59
Therefore, the answers is $2.59
Hope this helps :)
What is the distance from L1 to D? That is, what is the measure of the line segment L1D? Hint: review the diagram in "The Race Course" section of the Performance Task
there are no images.
A line segment in geometry is the part of a line which is bounded by two distinct end points.
What is line segment?Your information is incomplete. Therefore, an overview will be given. A line segment simply means a part of a line that has two endpoints.
A line segment contains end points and the points if the line that's between them. A segment is typically named by two endpoints like AB.
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In the figure below, mWXY = 62°, mXYW = 72°, and mWZV = 77°.
What is mZVW?
( i cant remove the answer i already selected sorry,)
rohana wants to find the volume of a sphere that has a radius of 10 feet. which equation can she use to solve for this value in cubic feet ?
The equation that can be used to determine the volume of the sphere is 4/3π10³
What is the volume of the sphere?A sphere is a three-dimensional object in which points from its center to its circumference is equidistant.
Volume of a sphere = 4/3πr³
Where:
π = pi = 22/7r = radiusTo learn more about the volume of a sphere, please check: https://brainly.com/question/13705125
Please just help. I’m stuck on math! Determining spinner probability Lol BUT please help! If you know how to do this
1. 2
2. 2
3. 4
4. 3 and 1
5. C
6. B
7. C and D
8. 3
9. 1 and 4
10. C
11. 2
12. D
You're Welcome✌! Brainliest would mean a lot.
PLEASE I NEED HELP!!! BRAINLIEST FOR THE FASTEST ANSWER
Answer:
883.125
Step-by-step explanation:
First, use the formula for volume of a sphere (4/3 * pi * r^3) to get the volume of the full sphere, then divide it by 2 to get the volume of half of the sphere.
Hopefully this helps- let me know if you have any questions!
estimation we are told 5 miles is 8 km.
ert 68 km to miles.
A farmer has a total of 23 pigs and chickens. The 23 animals have a total
of 60 legs. How many pigs and how many chickens does the farmer have?
Answer:
7 pigs, 16 chickens
Step-by-step explanation:
p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23
System of Equations:
Equation 1: [tex]p+c=23[/tex] would be [tex]23-p=c[/tex]Equation 2: [tex]4p+2c=60[/tex] for the legsThen, use substitution & solve:
[tex]4p+2(23-p)=54\\4p+46-2p=54\\4p-2p=8\\2p=8\\p=7[/tex]Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c
[tex]23-p=c\\23-7=c\\c=16[/tex]Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]
To check your work, plug those solutions back into the system.------
(I hope that helps & good luck! <3)
Which of the following situations results in 2/3 ? Select three that apply
Answer:
The first, second, and fourth questions.
Step-by-step explanation:
None of these result in an answer of 23, so I'm assuming that you meant 2/3.
"Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?"
2 gallons divided between 3 tanks is 2 divided by 3, so 2/3.
"Three cats share 2 cans of tuna. How much of a can does each cat receive?"
2 cans divided between 3 cats - it's the same as the above problem, just with cats and tuna cans instead of tanks and gallons of water. Each cat gets 2/3 of a can.
"Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?"
2 bags divided between 5 parrots would be 2/5 of a bag for each parrot.
"Two apples are split among 3 people. How much of an apple does each person receive?"
Two apples split among 3 people - like the first 2 questions, this also equals 2/3.
"Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all?"
Three dogs EACH drink 2 cups of water means that the answer is 2*3=6 cups.
"Three cupcakes are divided among 2 children. How much of a cupcake does each child receive?"
Three cupcakes are split between 2 children - they will each get 3/2 of a cupcake, or 1 1/2.
The sum of three consecutive, positive, even integers is 18
more than twice the smallest. The integers are_____.
Answer:
5, 6, 7
Step-by-step explanation:
5 + 6 + 7 = 18
Answer:
15,16,17
Step-by-step explanation:
The question states, The sum of three consecutive, positive, even integers is 18 more than twice the smallest.
Let a,b,c be positive integers
Let a be the smallest integer.
Because the answer says the sum of the integers has to be 18 more than 2 x the smallest integer. It means the situation can be represented as:
a + b + c = 2a + 18
Because these numbers are consecutive, meaning they are right besides each other. Every variable can be written in terms of a.
a = a
b = a + 1
c = a + 2
Now we can solve for a:
a + (a+1) + (a+2) = 2a + 18
a + a + 1 + a + 2 = 2a + 18
3a + 3 = 2a + 18
a + 3 = 18
a = 15
then we can fill in the rest.
b = (15) + 1 = 16
c = (15) + 2 = 17
Now we verify.
15 + 16 + 17 = 2(15) + 18 ?
15 + 16 + 17 = 48
2(15) + 18 = 48
We now have the solution. The consecutive numbers, are, and can only be
15,16,17
PLEASE HELP! DUE TODAY! TY!
In the figure, line segment AB is tangent to the circle at point A. Find the length of line segment AB.
Work:
AB =
Answer: 12 inches
Step-by-step explanation:
Solve for x.
32
(2x - 12)°
Answers:
x = 35
X= 51
x = 80
x = 96
The inequalities x + 3 < -5 and -x > -8 are the same.
True False
Answer:
False
Step-by-step explanation:
x + 3 < -5
x < -8
-x > -8
x < 8
Both aren't same
What is the simplest form of
2(3x-2y) + 3(x-3y)
Answer:
9x - 13y
Step-by-step explanation:
2(3x - 2y) + 3(x - 3y)
Use distributive law a(b + c) = ab + ac
⇒ 2·3x - 2·2y + 3·x - 3·3y
⇒ 6x - 4y + 3x - 9y
Gather like terms:
⇒ 6x + 3x - 4y - 9y
Combine like terms:
⇒ 9x - 13y
solve the equation 5.5g+9=2.5g+27
a. find the value of g.
b. explain how you can check that the value you found for g is correct. if your check does not work, does that your result is incorrect?
The volume of a sphere is 75716 cm3.
Work out the radius of the sphere.
Answer:
Step-by-step explanation:
Givens
V = 75716
pi = 3.14
r = ?
Formula
V = (4/3) pi * r^3
Solution
75716 = (4/3) * 3.14 * r^3 Multiply both sides by 3/4
75716 * 3/4 = 3.14 * r^3
56787 = 3.14 r^3 Divide by 3.14
56787 / 3.14 = 3.14 * r^3/3.14
18085 = r^3
∛18985 = ∛ r^3
r = 26.25
Find the missing side. Round your answer to the nearest tenths.
X=
Answer:
16.5 ≈ x
Step-by-step explanation:
We have a right triangle where we know 1 side, 1 angle and we need to find another side. We can use trigonometric functions to find the missing side.
The tangent function definition is
tan α = opposite side/ adjacent side
In our problem
tan 70° = x/ 6, multiply both sides by 6 to isolate x
6 · tan 70° = x, use the calculator (make sure is set in degrees)
16.4848 ≈ x , round to the nearest tenths
16.5 ≈ x
HELP!!!! I can’t figure this out
Answer:
[tex]A.\,\orange{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]
Step-by-step explanation:
[tex] \frac{x + 2}{ {x}^{2} + 5x + 6 } \div \frac{3x + 1}{ {x}^{2} - 9} \\ \\ = \frac{x + 2}{ {x}^{2} + 3x + 2x+ 6 } \div \frac{3x + 1}{ {x}^{2} - {(3)}^{2} } \\ \\ = \frac{\cancel{x + 2}}{ \cancel{{({x}+ 3)}} \cancel{(x+ 2) }} \times \frac{\cancel{( {x} + 3)}( {x} - {3)}}{3x + 1} \\ \\ = \purple{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]
multiply .( p + q ) ( p + q )
Answer:
[tex](p + q)(p + q) \\ = {p}^{2} + pq + pq + {q}^{2} \\ = {p}^{2} + {q}^{2} + 2pq \\ = {(p + q)}^{2} \\ thankyou[/tex]
please help i am confused.
5.5x = 11? Please help. :c
Answer:
The value x would equal to 2
11 divided by 5.5 = 2
5.5 x 2 =11
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Given the 4 points below, identify what shape is formed and how you found your answer. Drawn out.
A(-1, 0), B(0, 2), C(4, 0), and D(3, -2)
My answer:
RectangleMy Explanation:
The reason why this is my answer, is because you can see in the picture, I have this coordinate grid, and on that, I drew out these points, and hence, I got this picture.
Refer to the picture below!
~BrainlyMaster~ - Helping Students
Find the volume of the given figure. Round your answer to the nearest tenth. See picture for full problem. Please and thank you so much!(:
Answer:
146.7
Step-by-step explanation:
The equation for finding the volume of a pyramid is [tex]V = \frac{l w h}{3}[/tex].
For this pyramid, the height is 8, the width is 5, and the length is 11.
[tex]\frac{11x5x8}{3}[/tex]=146.67
146.67 rounded to the nearest tenth = 146.7.
Use the figure to answer the question.
What is the area of the triangle on the left?
Answer: 15
Step-by-step explanation:
Area of a triangle = base * height.
Since the inside figure is a square, the base of the triangle must be 5.
To find the height: The length of the entire figure is 17; subtract 5 to account for the square, and you know that the remaining 12 must be divided easily on the right and left side; this shows that the height of the triangle on the left must be 6.
Plug these numbers into the formula: 5 * 6 / 2 = 15 :)
Answer:
the answer is 29
Step-by-step explanation:
The answer is 12 because
the length is 17 then i did minus 5 since that's the width
17-5=12
that's the length for the slanted part then......
12+12=24+5=29
(you get 5 from if you see the straight line on the right is 5 so on the other its the same thing.
Help anyone?Can u be specific and tell how u got it
Answer:
6 1/4
Step-by-step explanation:
3+2=5
2+3
1/2+3/4= ----------------------------------------------------
4
=5/4
=1 1/4
5+ 1 1/4
=6 1/4