48 labels can be made if the company has a total of 4521.6in² of paper available.
We can calculate the number of labels by finding the surface area of the side of the can.
What is the surface area of the side of the can?The surface area of the side of the can is the circumference of the base times the height:
C = πd
C = 3.14 x 6
C = 18.84 in
Area = C x h
Area = 18.84 x 5
Area = 94.2 in²
Therefore, each label requires 94.2 in² of paper.
To find the number of labels that can be made, we divide the total amount of paper by the amount needed per label:
Number of labels = Total area of paper / Area per label
Number of labels = 4521.6 / 94.2
Number of labels = 48
Therefore, 48 labels can be made using a total of 4521.6in² of paper.
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Using 50 random numbers given below, compute the mean and standard deviation. 0.937776 0.270012 0.243785 0.590701 0.824982 0.131805 0.879337 0.741998 0.254683 0.080259 0.419321 0.928220 0.958430 0.980182 0.263900 0.063119 0.762096 0.485612 0.662900 0.362242 0.724796 0.307736 0.305021 0.417052 0.054337 0.323357 0.069662 0.843387 0.353107 0.074262 0.735596 0.175095 0.390508 0.668932 0.029861 0.205228 0.387740 0.962169 0.646565 0.423914 0.754782 0.156719 0.773113 0.546335 0.323573 0.649740 0.214082 0.382383 0.383982 0.030539 Mean = (to 6 decimals) Standard deviation = (to 6 decimals)
The mean is 0.477514 (rounded to 6 decimal places).
The standard deviation is 0.288919 (rounded to 6 decimal places).
How to Solve the Problem?To calculate the mean and standard deviation, we will use the following formulas:
Mean = (sum of all values) / (number of values)
Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]
Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:
Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514
Therefore, the mean is 0.477514 (rounded to 6 decimal places).
Now we will calculate the standard deviation:
Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919
Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).
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all you need is in the photo PLEASE DON'T DO STEP BY STEP PUT ONLY THE ANSWER PLEASEEEEEEEEEEEEEEEEEEEEE
Which rational number is multiplied by 64 to get the product -49 3/5
The rational number is equal to -31/40
Data;
product = -49 3/5number = 64What is a rational numberThis is a number that is usually expressed in fraction where both the numerator and denominator are integers.
Let the unknown number be represented by x
\(64*x=-49\frac{3}{5}\\64x=-\frac{248}{5}\\\)
Let's solve for x
\(64x=-\frac{248}{5} \\\\5*64x=-248\\320x=-248\\x=-\frac{248}{320}\\x= -\frac{31}{40}\)
From the calculations above, the rational number is -31/40
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I need to know about the fraction for this question
Answer: the fraction is 4over 12
Step-by-step explanation:
first you multiply the top and bottom number then u divide the number by the bottom.
Answer:
1/2
Step-by-step explanation:
If you were to multiply 1/2 by -50 you would get -25, which is greater than -50.
The same goes for 1/5, if you were to multiply 1/5 by -50, you would get -10.
Another example is 1/10 times -50, that would be -5.
Consider the following figure:
The value of a is
Answer:
125
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.
We can write the following equation according to this information and that will help us find the value of x:
65 + 60 = x add like terms
125 = x is the answer we are looking for.
\(\huge\text{Hey there!}\)
\(\huge\textsf{equation:}\)
\(\large\textsf{a = 60 + 65}\)
\(\huge\textsf{solving:}\)
\(\large\textsf{a = 60 + 65}\)
\(\large\textsf{60 + 65 = a}\)
\(\huge\textsf{simplify it:}\)
\(\large\textsf{a = 125}\)
\(\huge\textsf{therefore, your answer should be:}\)
\(\huge\boxed{\mathsf{a =} \frak{125}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
in the fruit bowl there are 12 bananas 8 apples and 4 oranges. do for every one orange there are ___ bananas
For every 1 orange in the fruit bowl there are three bananas.
According to the question,
We have the following information:
In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.
Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:
4 oranges = 12 bananas
Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.
So, we have the following expression:
1 orange = 12/4 bananas
1 orange = 3 bananas
Hence, for every 1 orange in the fruit bowl there are three bananas.
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What is the product of (3y^-4)(2y^-4)
6/y^6
1/6y6
6/y16
1/6y16
You use a 40% off coupon followed by a 30% off coupon. is that
this is the same as a 70% off coupon. Explain
Answer:
Yes since 40+30=70 so it would be the same
Step-by-step explanation:
Please help on this question
Answer: bagles: 200 muffins: 164
Step-by-step explanation:
1493600÷8 i need full steps
When 1,493,600 is divided by 8 the quotient is 186,700.
To divide 1,493,600 by 8, you can follow these steps:
We have to write down the dividend (1,493,600) and the divisor (8).
Now start with the largest place value in the dividend (the leftmost digit) and perform the division.
Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.
Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.
Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.
Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.
Divide 9 by 8. The quotient is 1, and the remainder is 1.
Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.
Divide 13 by 8. The quotient is 1, and the remainder is 5.
Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.
Divide 56 by 8. The quotient is 7, and there is no remainder.
Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.
Divide 70 by 8. The quotient is 8, and there is no remainder.
There are no more digits to bring down, and the division is complete.
The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.
Therefore, the result of 1,493,600 ÷ 8 is 186,700.
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convert 24580 m into km with process
Answer:
24.58 km
Step-by-step explanation:
1 km = 1000 m
1 m = 1 / 1000 km
24580 m
= 24580 / 1000
= 24.58 km
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
select all the Transformations that preserve angle measure and segment lengths
Transformations that preserve angle measure and segment lengths are:
• similarity
,• translation
,• rotation
,• reflection
,•
which holds the more capacity 0.75 litres or 350ml
Answer:
0.75 liters
Step-by-step explanation:
1000ml in 1 liter so 0.75*1000=750ml
750ml > 350ml
Solve the equation by first subtracting 2/3 from each side
3x + 2/3 =7 5/6
The solution to the equation is x = 2 7/18
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
3x + 2/3 =7 5/6
Solve the equation by first subtracting 2/3 from each side
So, we have
3x = 7 1/6
Divide both sides of the equation by 3
This gives
x = 2 7/18
Hence, the solution is 2 7/18
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Assume that military aircraft use ejection seats designed for men weighing between 132. 4132. 4 lb and 217217 lb. If women's weights are normally distributed with a mean of 168. 7168. 7 lb and a standard deviation of 48. 848. 8 lb, what percentage of women have weights that are within those limits
The percentage of women with weights that are within the limits is:
60.93%
What percentage of women have weights that are within those limits?Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:
z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74
z-score for upper limit = (217 - 168.7) / 48.8 = 0.99
Next, we can use a z-table to find the corresponding probabilities for these z-scores:
Probability for lower limit = 0.2296
Probability for upper limit = 0.8389
Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093
Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.
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some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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algebra 2 equality’s
The algebra 2 is a vast field that deals with various mathematical concepts, such as equations and inequalities.
Algebra 2 is a branch of mathematics that mainly deals with equations and inequalities. An equation is a mathematical statement that implies that two expressions are equal.
Similarly, an inequality implies that two expressions are not equal but are related by a certain operation.There are different types of equations that one may encounter in Algebra 2.
A linear equation is an equation that can be represented by a straight line on the coordinate plane. A quadratic equation is one that can be written in the form ax² + bx + c = 0.
There are also exponential, logarithmic, and trigonometric equations that one may come across.Inequalities are statements that two expressions are not equal. Inequalities can be represented graphically on a coordinate plane, just like equations.
There are different types of inequalities such as linear, quadratic, exponential, and logarithmic inequalities.In conclusion, These concepts help in solving real-world problems by providing a framework to analyze them mathematically.
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List the terms of the polynomial. Give the coefficient of the second term. -4y5 + 6x4 +9w³ - 4w - 1 Separate terms using commas. Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c . Make sure your variables match those in the question. Terms Coefficient
The coefficient of the second term, 6x⁴, is 6.
The terms of the polynomial are:
-4y⁵, 6x⁴, 9w³, -4w, -1
The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.
The coefficient is 6.
Therefore, the list of terms is:
-4y⁵, 6x⁴, 9w³, -4w, -1
Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.
The coefficients indicate the scalar value by which each term is multiplied.
The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.
Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.
There is a 6 coefficient.
As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.
Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.
The scalar value by which each phrase is multiplied is shown by the coefficients.
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what’s the quotient of -15b^5+18b^3/3b
This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.
To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.
First, let's divide -15b^5 by 3b:
(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4
Next, let's divide 18b^3 by 3b:
(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2
Now, we have simplified each term individually. The resulting expression is:
-5b^4 + 6b^2
This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.
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simplify the following ,leaving your answer as a surd
4/√5+3√125
Step-by-step explanation:
it would be best if you snapped this question for better understanding, however
4/√5. +. 3√125
4/√5. +. 3(√25 x √5)
4/√5 + 3(5√5)
4/√5 + 15√5
6t/9-22;t=60
please help me
Answer:
if t=60, then 6(60)/9-23. (360-198)/9
=18
Hurry in test Brainliest!!!
Answer:
y = (x - 4) - 4
Step-by-step explanation:
m = \(\frac{y_{2} - y_{1} }{x_{2} -x_{1} }\)
(- 2, - 10)
(4 , - 4)
m = \(\frac{-4+10}{4+2}\) = 1
y + 4 = (x - 4) ⇒ y = (x - 4) - 4
What is the total measurements of this roof in square feet?
The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².
What is the total area of the roof in square feet?It follows from the task content that the total area of the roof as given in the task content is to be determined.
On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.
Therefore;
Area = (71 × 39) - (15 × 8)
= 2649 ft².
Ultimately, the total area measure of the roof in square feet is; 2649 square feet.
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What values of y and z make AFGHACBD?
2z+14
+2
2y+35
G
I
>
N
H
7y
B
32-1
D
Step-by-step explanation:
To make the equation AFGHACBD true, the value of y must be 7, and the value of z must be 32-1=31.
Here is how the equation works out:
2z + 14 = 2 * 31 + 14 = 68
2y + 35 = 2 * 7 + 35 = 49
68 + 2 = 70
70 > 49
49 + 7y = 49 + 7 * 7 = 98
98 > 70
70 + 32 - 1 = 70 + 31 = 101
101 > 98
98 + 2y + 35 = 98 + 2 * 7 + 35 = 146
146 > 101
So, the values of y and z that make the equation AFGHACBD true are y=7 and z=31.
Help me please fast fast fast
Answer:
4
Step-by-step explanation:
\((\frac{1}{2})^2\times(3\times5-3)+1^3\)
This is an order of operations problem. II'll use using PEMDAS here:
P: Evaluate expressions in parenthesis firstE: Evaluate terms with exponentsMD: Evaluate multiplication and division from left to rightAS: Evaluate addition and subtraction from left to rightParenthesis first. The first expression in parenthesis is already as simplified as it gets, so up next is the second one:
\(3\times5-3\)
There are no parenthesis and there are no exponents, so do the multiplication first.
\(\rightarrow 3\times5-3\\\rightarrow 15-3\\\rightarrow 12\)
Back to the original expression and we now have:
\((\frac{1}{2})^2\times(12)+1^3\)
Exponents comes next:
\(\rightarrow (\frac{1}{2})^2=\frac{1^2}{2^2}=\frac{1}{4}\\\\\rightarrow 1^3=1\)
Now we have:
\(\frac{1}{4}\times12+1\)
Multiplication comes next:
\(\rightarrow \frac{1}{4}\times12=\frac{1}{4}\times\frac{12}{1}=\frac{12}{4}=3\\\\3+1\)
Finally, addition.
\(3+1=4\)
PLEASE HELP ME RIGHT NOW ASAP
Answer:
Step-by-step explanation:
Let's just say this circle has value x.
x increases by 5%, or 0.05 of x.
x + 0.05x = 1.05x
1.05x now increases by 5% again:
1.05x + 0.05(1.05x) = 1.1025x
The total increase is equal to (1.1025-1)*100 = 10.25%
Hope this helps!
i'll give brainliest please help
Answer:
The answer is ≈9.7474532 cm.
P.S. it took me a long time to figure this out I would appreciate if you put brainliest.
Find what makes this
equal. Draw a picture
underneath to help you.
2+2 = 1 +
Answer:
The answer is three
Step-by-step explanation:
because your trying to find what number equals what they give you so have to first solve the 2 + 2 which equals 4 then you try to find a number and put it with 1 so that you can get the same answer and it will be equal