volume = l x w x h
36 = 2 x 6 x ?
36=12 x ?
? =36/12 =3
the closet is 3 feet wide
The width of the closet is 3 feet, which is obtained by rearranging the formula for the volume of a rectangular prism and substituting the given dimensions.
To find the width of the closet, we use the formula for the volume of a rectangular prism, which is volume = length times width times height. The problem gives us the volume (36 cubic feet), the length (2 feet), and the height (6 feet). The width can be found by rearranging the formula to width = volume / (length times height).
Next, we substitute the given values into the rearranged formula:
width = 36 cubic feet / (2 feet times 6 feet) = 36 cubic feet / 12 square feet = 3 feet
Therefore, the width of the closet is 3 feet.
The perimeter of a triangle is 133 inches. If one side of the triangle is five more than the shortest side, and the longest side is 14 more than the shortest side, find the lengths of the three sides?
133=x + (x+5) + (x+14)
133 = 3x+19
3x=114
x= 114/3 =38
5+38 =43
38+14 =52
check: 38 +43 +52 = 133
3 sides are : 38, 43 & 52
How can you use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages?
To fit data to a normal distribution and estimate population percentages, calculate the mean and standard deviation for the data set, use these values to construct a normal distribution, and apply the empirical rule and confidence intervals to estimate population percentages.
Explanation:To use the mean and standard deviation of a data set to fit it to a normal distribution and estimate population percentages, you will need to understand key statistical principles such as standard deviation, the mean, and the normal distribution curve.
Mean and Standard Deviation
The mean, which is an average of all the values in a data set, provides a central value. The standard deviation represents the spread of the data around this mean. A lower standard deviation indicates that the values are closer to the mean, while a higher standard deviation indicates a wider spread.
Fitting Data to a Normal Distribution
A normal distribution, also known as a bell curve, shows how values in a data set are dispersed around the mean. The properties of the normal distribution (68% of data within 1 standard deviation of the mean, 95% within 2 standard deviations, and 99.7% within 3 standard deviations) are known as the empirical rule or the 68-95-99.7 rule.
Estimating Population Percentages
To estimate population percentages using the mean and standard deviation, you construct a confidence interval. This range provides an estimate of where you expect the true population parameter to lie with a certain level of confidence. For example, a 95% confidence interval means that you can be 95% confident that the true population mean lies within this interval.
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364861210 what's the next number
A shoe store is having a sale where every pair of shoes cost $15. If you buy more than five pairs, you get a 10% discount. How much will it cost for seven pair of shoes?
8 - 14 + 95 - (-105) +(-111) - 63=? whats the answer?
Martin earned the following scores on his last five tests. 98, 78, 84, 75, 91 What is the range of his scores?
7
20
23
84
how many three digit positive integers are there such that the three digits are 3, 4, and 8?
which of the following is an example of perpendicular lines?
Factor x^2 - 64 into two binomials
PLZ I need the answer ..IK IK but plzzz ;c
An item is regularly priced at $15. It is now priced at a discount of 55% off the regular price.
Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.Write an equation to determine the total number of questions (q)(q)left parenthesis, q, right parenthesis on Tim's math test. And Find the total number of questions on his math test.
The equation is
4(q-10)=76
The amount of questions is
29 questions
Which of the following statements is always true?
A All integers are counting numbers.
B All rational numbers are integers.
C All integers are whole numbers.
D All counting numbers are whole numbers.
D. All counting numbers are whole numbers.
All integers are counting numbers. This is not true. Counting numbers (also known as natural numbers) are positive whole numbers starting from 1, 2, 3, and so on. Integers include all positive and negative whole numbers, as well as zero. Thus, not all integers are counting numbers.
All rational numbers are integers. This is not true. Rational numbers include all fractions where the numerator and denominator are integers (denominator not zero). For example, 1/2 is a rational number but not an integer.
All integers are whole numbers. This is not true. Whole numbers include all non-negative integers (0, 1, 2, 3, ...), but integers also include negative numbers, which are not whole numbers.
Counting numbers (1, 2, 3, ...) are included in the set of whole numbers, which consists of all non-negative integers (0, 1, 2, 3, ...).
If 1/2 gallon of paint covers 1/6 of a wall then how much paint is needed for the entire wall
The number of gallons of paint to cover the entire wall will be 3 gallons of paint.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
If 1/2 gallon of paint covers 1/6 of a wall. Then the division of the numbers 1/2 and 1/6 will be given by putting a division sign between them. Then the number of gallons of paint is calculated as,
⇒ (1/2) / (1/6)
⇒ (1/2) x 6
⇒ 3
The number of gallons of paint to cover the whole wall will be 3 gallons of paint.
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What does solution to the division mean and what does it tell you
(09.01) The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 0.5t + 3.5 The average rate of change of f(t) from t = 2 to t = 6 is ______ thousand owners per year.
Answer: The average rate of change of f(t) from t = 2 to t = 6 is 1.5 thousand owners per year.
Step-by-step explanation:
Given: The function below shows the number of car owners f(t), in thousands, in a city in different years t:
[tex]f(t) = 0.25^2 - 0.5t + 3.5[/tex]
Now,
[tex]f(2) = 0.25(2)^2 - 0.5(2) + 3.5=3.5\\\\= f(6) = 0.25(6)^2-0.5(6)+ =9.5[/tex]
Now, the average rate of change of f(t) from t = 2 to t = 6 is given by :-
[tex]k=\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{9.5-3.5}{4}=1.5[/tex]
Hence, the average rate of change of f(t) from t = 2 to t = 6 is 1.5 thousand owners per year.
Consider the following set of equations:
Equation A: y = −x + 5
Equation B: y = 6x − 2
Which of the following is a step that can be used to find the solution to the set of equations?
−x = 6x + 2
−x − 2 = 6x + 5
−x + 5 = 6x – 2
−x + 5 = 5x
Answer:
C)
Step-by-step explanation:
both of the equations equal y so, the two equations equal eachother
on july 4 180 people hiked on the trail. of these 1/3 camped overnight. how many of the hikers dis not camp overnight
-2 (x-3) + 4 x - 6 need the answer soon
The solution to m + (-38) = 15 is 53. True False
You want to get new carpet for a square room that has an area of 150 square feet. You can only order carpet using dimensions to the nearest whole foot. What would be the dimensions of the carpet so that the entire room is covered?
Multiply 17 minutes 19 second by 11
Greg has decreased his running time by minute each of the last six weeks. Write an expression to represent the total change in his time over the last six weeks. Then, find the total change.
what is 8.05 x 10^8 - 9.16 x 10^6
NEED HELP FAST!!!
4.
Which of the following graphs shows a pair of lines that represent the equations with a solution (–2, 5)? (5 points)
what is pm/ pn equal to
To simplify a fraction by dividing both top and bottom by the same factor.
So, pm/ pn equals to m/n .
If any variable or factor is present in both numerator and denominator. Then, these variables or factor are cancelled out each other.
In expression pm/pn , we observed that variable p is present in both numerator and denominator. So, variable p is cancelled out to each other.
Therefore, pm/pn = m/n
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The product of two consecutive even positive integers is 674 more than the sum of the two integers. Find the integers.
The equation is A ( A + 2 ) = 674 + ( A + ( A + 2 ) )
The first integer is A = 26
The second integer is B = 28
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the two numbers be A and B
where , the first integer is = A
The second integer is = B
B is the consecutive integer of A , so
The value of B = A + 2
Now , the equation will be
The product of two consecutive even positive integers is 674 more than the sum of the two integers
So , substituting the values in the equation , we get
A ( A + 2 ) = 674 + ( A + ( A + 2 ) )
On simplifying the equation , we get
A² + 2A = 674 + 2A + 2
Subtracting 2A on both sides of the equation , we get
A² = 674 + 2
A² = 676
Taking square roots on both sides of the equation , we get
A = 26
The value of B = A + 2
B = 28
Therefore , the value of A = 26
The value of B = 28
Hence ,
The first integer is A = 26
The second integer is B = 28
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Find the equivalent 3/7=x/21
The area of a circle is a function equal to the product of pi (pi) and the square of the radius (r). Which of the following shows this function?
The function for the area of the circle if x is the radius of the circle and y is the area of the circle is y = πx².
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely cover the surface of a closed figure.
Given:
The area of a circle is a function equal to the product of pi (pi) and the square of the radius (r),
The area of the circle can be written as shown below,
Area of circle = π × R²
Here π is a constant, R is the radius of the circle,
When we put the value of the radius, we will get the value of the area,
Hence, the radius is an independent function and the area is dependent on the value of R (dependent function),
Replace y with area and radius with x as shown below,
y = πx²
Thus, y = πx² is the function for the area of the circle.
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Choose one of the figures above.
On a piece of graph paper sketch the figure from the top, front, and side views by shading in the appropriate number of boxes.
Determine the number of faces in the figure. Watch for “hidden faces.”
If the area of one of the faces is 4, what is the surface area for the figure?
Luis made some trail mix .He mixed 4 2/3 cups of popcorn ,1 1/4 cups of peanuts ,1 1/3 cups of raisins ,and 3/4 cup of sunflower seeds.He gave 5 of his friends an equal amount of trail mix each.How much did each friend get?