A normal distribution is informally described as a probability distribution that is "bell-shaped" when graphed. Draw a rough sketch of a curve having the bell shape that is characteristic of a normal distribution.
The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .
What is a bell curve known for ?Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.
This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .
The rough sketch of the curve having the bell shape is shown attached to the question.
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Your answer is incorrect. A company makes wax candles in the shape of a rectangular prism. Each candle is 6 inches long, 3 inches wide, and 8 inches tall. How much wax will they need to make 288 candles?
The amount of wax needed to make 288 candles is 41472 inches³.
How to find the amount of candles wax ?A company makes wax candles in the shape of a rectangular prism. Each candle is 6 inches long, 3 inches wide, and 8 inches tall.
Therefore, the amount of wax to make 288 candles can be calculated as follows:
Hence,
volume of each rectangular prism = 6 × 3 × 8
volume of each rectangular prism = 18 × 8
volume of each rectangular prism = 144 inches cube
Therefore,
1 candle = 144 inches cube
288 candles = ?
cross multiply
volume of wax for 288 candles = 288 × 144
volume of wax for 288 candles = 41472 inches³
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help me pls pls plshdhdvdvd
Leon older brother is 4 and 3/4 feet tall Leon is 1/3 foot shorter than his brother how tall is Leon
Answer:
4 5/12 feet tall
Step-by-step explanation:
All you have to do is subtract 1/3 from 4 and 3/4 in order to get this answer.
Answer:
Leon is 53/12 feet or 4 & 5/12 or 4.4167 (same answer different forms)
Step-by-step explanation:
Leon older brother is 19/4 feet tall or 57/12.
Leon is 1/3 or 4/12 foot shorter than his brother.
57/12-4/12= 53/12
What are the coordinates for the park ?
Answer: hey panini
Step-by-step explanation:
for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
write an equation in slope intercept form that passes through the given point and is perpendicular to the graph of given equation (1,-2) y=5x+4
The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.
The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.
To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.
The negative reciprocal of 5 is -1/5.
Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values:
y - (-2) = (-1/5)(x - 1)
Simplifying:
y + 2 = (-1/5)(x - 1)
To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:
y + 2 = (-1/5)x + 1/5
Subtracting 2 from both sides:
y = (-1/5)x + 1/5 - 2
Combining the constants:
y = (-1/5)x - 9/5
Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
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Pineapple Street intersects Plum Street and Apple Street at their midpoints. Your home is at point P. You leave your home and jog down Plum Street to Kiwi Street, over Kiwi Street to Apple Street, up Apple Street to Pineapple Street, over Pineapple Street to Plum Street and then back home up Plum Street. How many miles did you jog?
Answer:
7.125 miles
Step-by-step explanation:
Using the triangle midsegment theorem:
Distance of pineapple street = 1/2(distance of kiwi street) = 0.5 * 1.4 = 0. 7 miles
Distance of plum Street = (2 * distance of P to Pineapple street) = 2 * 1.3 = 2.6 miles
Distance from Kiwi to pineapple = 1/2 * distance of apple Street = 0.5 * 2.25 = 1.125 miles
1.3 + 1.3 + 1.4 + 1.125 + 0.7 + 1.3
If Shondra traveled the same number of miles each hour, how many miles did she travel in 4 hours?
210
240
300
360
Answer:
how many miles did she travel each hour? Then I can answer your question
PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
Function c
is defined by the equation c(n)=50+4n
. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n
.
True or False? The inverse function is as follows:
n=(c(n) − 50)×4
Responses
Answer:
False
Step-by-step explanation:
1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4
I need help with this I have 5 minutes to turn in
Answer:
y = 2x+1
Step-by-step explanation:
Multiply each value for x by 2and then add 1, it should equal the following value for y. For xample, if we take the first set of values: x = 3, y = 7:
y = 2x+1
7 = 2 x 3 + 1
7 = 6 + 1
7 = 7
The following works for all the sets.
Question in picture answer please
The expression in the image is:
a*(a + b + b) = a² + 2ab
So the correct option is the bottom left one.
Which expression is on the diagram?
The diagram is a rectangle that can be divided into smaller rectangles. We know that the area of the large rectangle will be equal to the sum of the areas of the smaller rectangles, then we can write:
area of the larger rectangle = a*(a + b + b)
While the addition of the areas of the smaller figures gives:
sum of areas: a² + a*b + a*b = a² + 2ab
Then the expression in the image is:
a*(a + b + b) = a² + 2ab
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Let g(x) be the indicated transformation of f(x) = −|3x| − 4. Stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3 and reflect it across the x-axis. Identify the rule and graph of g(x).
The final rule for g(x) is g(x) = 3|3x| + 12.
To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.
So, the rule for g(x) is g(x) = 3f(x).
Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:
g(x) = 3f(x)
g(x) = 3(-|3x| - 4)
g(x) = -3|3x| - 12
This is the expression for g(x), which represents the transformed graph.
To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.
Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.
Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.
The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).
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5. A rock is thrown directly upward with an initial velocity of 79 feet per second from a cliff 50 feet above a beach. The height of the rock above the beach (h) after t seconds is given by the equation h = -16t² + 79t + 50. The graph below shows the rock's height as a function of time.
5. The quadratic function for the height of the rock, h = -16·t² + 79·t + 50, indicates;
a. The height of the rock will be 125 feet above the beach at 1.28 seconds and 3.66 seconds after it is thrown
b. The maximum height reached is about 147.5 feet
The time it takes the rock to reach the maximum height is about 2.47 seconds
What is a quadratic function?
A quadratic function is a function of the form; f(x) = a·x² + b·x + c, where, a, b, and c are numbers, and a ≠ 0.
The initial velocity of the rock = 79 ft/s
Height of the cliff above the beach from which the rock is thrown = 50 feet
The function for the height of the rock above the beach is; h = -16·t² + 79·t + 50
Please find attached the graph of the height of the rock as a function of time, created with MS Excel.
Required; When the height of the rock will be 125 feet above the beach
When the height of the rock is 125 feet, we get;
h = 125 = -16·t² + 79·t + 50
-16·t² + 79·t + 50 - 125 = 0
-16·t² + 79·t - 75 = 0
The value of t obtained using an online tool are;
t = (79 + √(1441))/32 ≈ 3.66 and t = (79 - √(1441))/32 ≈ 1.28
The times at which the height of the rock will be 125 feet above the beach are; 1.28 seconds and 3.66 seconds after the rock is thrown
b. The maximum height of the rock can be obtained from the formula for finding the maximum height of a quadratic equation of the form; f(x) = a·x² + b·x + c, which is;
At the maximum point, x = -b/(2·a)
The function for the height; h = -16·t² + 79·t + 50, indicates that we get;
a = -16, b = 79, and c = 50
Therefore;
The time it takes the rock to reach the maximum height, t(max), is therefore;
t(max) = -79/(2 × (-16)) ≈ 2.47
It takes about 2.47 seconds for the rock to reach the maximum height
The maximum height, h(max) = -16 × 2.46875² + 79×2.46875 + 50 ≈ 147.5
The maximum height reached by the rock is about 147.5 feet
Possible part of the question, obtained from a similar online question, includes;
a. The time it takes the rock to reach a height of 125 feet above the beach
b. The maximum height reached by the rock and the duration it takes the rock to reach the maximum height.
Please find attached the possible graph in the question, created with MS Excel, using the function for the height of the rock.
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What is the result of 4 divided by StartFraction 8 Over 12 EndFraction?
4 boxes of 12 squares
One-sixth
StartFraction 3 Over 8 EndFraction
3
6
Answer:
the correct answer is 6
Step-by-step explanation:
If u want to find the answer for this problem, u need to kcf(keep, change, and flip). Allow me to show u what im talking about
4/(8/12)
first i keep the four
then i change division to multiplication
4 x 8/12
then i flip 8/12
4 x 12/8
then solve
48/8
now the answer is 6
now if the question was the opposite way like 8/12 divided by 4, then it will be 1/6
Still, the answer is 6
hope it helps :)
Answer:
It is D
Step-by-step explanation:
I just finished the quiz and that is the answer that I got when I looked the answers
Tell me if I am wrong
Hope this helps:):):):)
Please awnser asap I am
Stuck
Answer:
it is too blury to read
Step-by-step explanation:
The table shows the relationship
between gallons and quarts. What is the
missing value in the table?
A 4
B 8
C 16
D 20
The missing value in the table is 8 gallons.
What is gallons and quarts?Gallons and quarts are two measurements for volume. A gallon is the larger of the two, and it is a unit of measurement that is used to measure liquids. One gallon is equal to four quarts. A quart is a smaller unit of measurement, and it is also used to measure liquids. One quart is equal to one-fourth of a gallon. Both gallons and quarts are commonly used to measure liquids, such as water, milk, and other beverages. They are also used to measure fuel for cars, such as gasoline and diesel. Gallons and quarts are also used in the kitchen when measuring ingredients or cooking liquids. For example, a recipe might call for two quarts of chicken broth. In addition to measuring liquids, gallons and quarts are sometimes used to measure dry goods such as rice, beans, and other grains. For example, a recipe might call for two quarts of white rice. Knowing how to convert between gallons and quarts is important when measuring liquids or dry goods. One gallon is equal to four quarts, so if a recipe calls for two gallons, it can be converted to eight quarts. Likewise, if a recipe calls for four quarts, it can be converted to one gallon.Solution:
1 gallon = 4 quarts
In the table shows 2 gallons is 8, that means 2 x 4 = 8
4 gallons is 16, which is 4 x 4 = 16.
Likewise, in fourth row, quarts is 32, we have to find gallons.
32/4 = 8 gallons
So, the missing value in the table is 8 gallons.
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The missing value in the table is 8 gallons.
What is gallons and quarts?Gallons and quarts are two measurements for volume. A gallon is the larger of the two, and it is a unit of measurement that is used to measure liquids. One gallon is equal to four quarts.
A quart is a smaller unit of measurement, and it is also used to measure liquids. One quart is equal to one-fourth of a gallon.
Both gallons and quarts are commonly used to measure liquids, such as water, milk, and other beverages.
They are also used to measure fuel for cars, such as gasoline and diesel. Gallons and quarts are also used in the kitchen when measuring ingredients or cooking liquids.
For example, a recipe might call for two quarts of chicken broth. In addition to measuring liquids, gallons and quarts are sometimes used to measure dry goods such as rice, beans, and other grains. For example, a recipe might call for two quarts of white rice.
Knowing how to convert between gallons and quarts is important when measuring liquids or dry goods.
One gallon is equal to four quarts, so if a recipe calls for two gallons, it can be converted to eight quarts. Likewise, if a recipe calls for four quarts, it can be converted to one gallon.
1 gallon = 4 quarts
In the table shows 2 gallons is 8, that means 2 x 4 = 8
4 gallons is 16, which is 4 x 4 = 16.
Likewise, in fourth row, quarts is 32, we have to find gallons.
32/4 = 8 gallons
So, the missing value in the table is 8 gallons.
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What is the surface area of the net?
Answer:
150.66
Step-by-step explanation:
At what coordinate would you place point e so that is partitions df in a ratio of 5:3
The intersection point of an angle bisectors of a triangle
Answer: The point of intersection of angle bisectors of the 3 angles of triangle ABC is the incenter . The incircle touches each side of the triangle
please explain thoroughly so i can understand
Answer:
\((x+3)^{2} + 1\)
Step-by-step explanation:
Step1: First break "10" into 9 + 1
Arrange the given expression according to the formula;
\(\\Step 2: (a+b)^{2} = a^{2}+2ab+b^{2}\)
\(x^{2} + 2 (x)(3) + (3)^{2} + 1\)
\((x + 3)^{2} + 1\)
Answer:
a) (x + 3)^2 + 1
we know that ( x + a )^2 = x^2 + 2ax + a^2
so just need to think whats number will be 6 after times 2
until here we can get (x + 3)^2
expand it you can only get x^2 + 6x + 9
so +1 to make it become 10
this is my method as I think it's fast to get the answer if you don't get it you may just follow completing the square formula
b) ( -3 , 1 )
you can just get it after you completing the square
The weight of two fish tighter is 16 kg. If one fish weight is 10.5 kg, find the ratio of
the weight of the smaller fish to that of the bigger fish.
Find the perimeter of the figure to the nearest hundredth. due today
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 36.57
Explanation:
6x4 = 24
3.14(2)^2 = 12.56
12.57+24=36.57
I hope this helped!
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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Choose the most reasonable unit of measure.
3) Area of a baseball infield: 925
A) mm² B) km² C) m² D) cm²
4) Area of a lake: 4
A) mm² B) km² C) m² D) cm²
5) Area of a door: 20
A) yd² B) in.² C) ft² D) mi²
The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).
3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units \(cm^2\) or \(mm^2\) where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.
4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.
5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.
Therefore the correct answers question-wise are:
3) \(m^2\)
4) \(km^2\)
5) \(in^2\)
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Integration 4t√t+adt
Answer:
Step-by-step explanation:
Integration (4t√t+a)dt
\(\int \left ( 4 t\sqrt t +a \right )dt\\\\=\int\left ( 4 t^{(\frac{3}{2})} +a\right ) dt\\\\= 4\times 2\times \frac{t^{\frac{5}{2}}}{5} + a t\\\\= 8 \frac{t^{\frac{5}{2}}}{5} + a t\)
The equation C = (F – 32) is used to convert Fahrenheit temperature to Celsius temperature. What is the value for F, after the equation is rearranged?
5
OF=
+ 32
OF=
32
OF =
= c +32
C - 32
OF=
C = F - 32
F = C + 32
Which of the following names the point for the ordered pair (2, 3
You have to show us the following options, edit your question and we can help.
Jon, Clark, Louis, herb, chuck, and Roy have entered a trumpet contest. The top 3 contestants will receive awards. How many different ways could the judges select the top 3 contestants?
Answer:
well
Step-by-step explanation:
think about it 3 ways so its more than 3 maybe 4 5 6 7 or 9 im not sure
find the area and circumference of a circle with a radius 5 m. use the value 3.14 for radius, and do not round your answers. Be sure to include the correct units in your answers.
Area and circumference of the circle are 78.5 m² and 31.4 m respectively.
What is a circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that, a circle have a radius 5 m
Area of a circle = π × radius²
Circumference = 2π×radius
Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²
Circumference = 3,14 × 2 × 5 = 31.4 m
Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.
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