The probability of daily demand being less than 495 sodas is approximately 0.9893 or 98.93%.
To find the probability of daily demand being less than 495 sodas, given that the mean of demand is 410 sodas per day and the standard deviation of demand is 37 sodas per day, follow these steps:
1. Convert the demand value (495 sodas) to a z-score:
z = (X - μ) / σ
z = (495 - 410) / 37
z ≈ 2.30
2. Use a z-table or a calculator with a normal distribution function to find the probability corresponding to the z-score:
P(Z < 2.30) ≈ 0.9893
Thus, the probability of daily demand being less than 495 sodas is approximately 0.9893 or 98.93%.
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Find the probability using the normal distribution. Use a graphing calculator and round the answer to four decimal places. P(0 < z < 2.18)- Find the area under the standard normal distribution curve to the left of z-1.34 and to the right ofz -2.13. Use a graphing calculator and round the answer to four decimal places. The area is
The probability of 0 < z < 2.18 is 0.9945, rounded to four decimal places.
1. To find the probability, we first need to calculate the area under the standard normal distribution curve to the left of z = 1.34 and to the right of z = 2.13.
2. To do this, we can use the graphing calculator to plot the standard normal distribution curve.
3. Then, we can calculate the area under the curve to the left of z = 1.34 by subtracting the area under the curve to the left of z = 2.13 from the total area under the curve.
4. Finally, we can round the answer to four decimal places to get the probability of 0.9945.
The probability of 0 < z < 2.18 is 0.9945, rounded to four decimal places.
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For a given recipe, 3 cups of flour are mixed with 9 cups of sugar. How many cups of flour should be used if 63 cups of sugar are used?
Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.
Answer:
Use direct variation method of mathematics
How to solve
-y - 10=6x
5x + y= -10
Using the system by elimination
A spherical balloon has a radius of 15cm. Air is added to the balloon until it's surface area
increases by 500 cm². What would be the new diameter of the balloon after the air is added?
The new diameter of the sphere after the air is added is 32.6cm
What is surface area of a sphere?A sphere is a solid figure bounded by a curved surface such that every point on the surface is the same distance from the centre.The Surface Area of Sphere is 4πr², where r is the radius of sphere.
The original surface area when air is not added. is :
A = 4×3.14×15²
A = 2826cm²
When air is added, the surface area increased by 500cm². Therefore the new surface area = 2826+500 =3326cm²
To find the new radius of the sphere
3326 = 4×3.14× r²
r² = 3326/12.56
r² = 265
r = √265
r = 16.3
the diameter of the balloon after the air is added = 2r = 2× 16.3 = 32.6 cm
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geometry rotations image
The reflection in the line y = x, followed by a reflection in the x-axis transformation that maps the preimage to the image.
What is the transformation?
Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation. A function, f, that maps to itself are called the transformation, i.e., f: X → X. The pre-image X becomes the image X after the transformation. This transformation can be any or combination of operations like translation, rotation, reflection, and dilation.
In geometry, transformation involves changing the position and/or size of a shape.
The transformation that maps the pre-image to the image is dilation
From the given diagram
We can see that the size of and are not the same.
When the No change in size or shape or orientation and Flips the pre-image and produces the mirror-image, then the transformation type is Reflection.
Hence, the reflection in the line y = x, followed by a reflection in the x-axis transformation that maps the preimage to the image.
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How do you draw a triangle with 7cm 5cm and 4cm?
ΔABC is the required triangle in which AB = 4 cm, BC = 7 cm and AC = 5 cm.
To see the attachment.
Now, According to the question:
Let us assume that given sides are :
BC = 7 cm, AB = 4 cm and AC = 5 cm
Steps of construction
Step I Draw a line BC = 7 cm.
Step II With center B and radius 4 cm draw an arc.
Step III With center C and radius 5 cm, draw an arc which cuts the previous arc at A.
Step IV Join AB and AC.
Hence, ΔABC is the required triangle in which AB = 4 cm, BC = 7 cm and AC = 5 cm.
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When 27x^2 z^4/-3x^2z is completely simplified, the exponent on the variable z is ___.
Therefore , the solution to the given problem of expression comes out to be 5 is the exponent of the variable z.
Definition of the expressionMath allows for the conceivable operations of multiplication, division, addition, and subtraction. The structure of the expression is as follows: Calculator, expression, and a number or variable A mathematical expression is made up of variables, numbers, and operations (such as addition, subtraction, multiplication, or division, etc.). You can contrast two statements or expressions.
Here,
The following expression (27x2)z/3x2)(z6) can be simplified as follows:
If your base is the same, you can subtract the exponents using the properties of powers.
Then:
=(27x^2)z/(-3x^2)(z^6)
=-9z/z^6 You can see that x2-2=x0=1
=-9/z^5 (Thereafter, z6-1=z5)
Consequently, the response is: 5 is the exponent of the variable z.
Therefore , the solution to the given problem of expression comes out to be 5 is the exponent of the variable z.
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What is 4x5 ratio in pixels?
The 4:5 ratio in terms of pixels is nothing but the measure of 1080×1350 pixels in an image of the video.
A colon separates two numbers that represent the width-to-height proportion of an image or video. This proportion or ratio is referred to as the aspect ratio. In terms of height and width, it shows how wide the size is. It makes sure the videos or images are presented without stretching or resolution loss.
The resolution in pixels for the aspect ratio 4x5 or 4:5 is 864 x 1080 or 1080 x 1350 pixels. This establishes how many pixels are present in an image's or video's width and height. The most popular pixel ratio is this one.
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Brayden i earning money for a charity by walking lap around a track. He walk 2 1/2 lap each day for 7 day for 7 day. Hi goal i 16 lap. If he walk 16 lap or more, he earn $2 per lap. If he walk le than 16 lap, he earn $1 per lap
Brayden's total earning by walking lap around a track is $35, if he walks 2+1/2 = 5/2 laps per day for 7 days.
Per day walking of brayden = 5/2 laps
7 days walking of brayden = 5/2 × 7 = 35/2 laps
As per the question statement he earns $1 per lap if he walk less than 16 laps and $2 per lap if hi walks 16 or more lap. Since the total walking of brayden is more than 16 laps, so he will earn at the rate of $2 per lap. So total earning will be,
= 2× 35/2
= $35
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The area of a rectangle is 14 1/2 sq cm and one side is 4 1/2 cm. how long is the other side?
Answer:
6cm*4.5cm = 27cm²
5cm*5cm = 25cm²
The first has a greater area - by 2 square centimeters.
Step-by-step explanation:
Answer:5 1/2
Step-by-step explanation:
4 1/2+4 1/2=9
14 1/2 -9=5 1/2
Help me please I will make u the Brainlyest please help me. I will even you 30 points. someone just scammed me and took away 50 points and she/he did not answer my question. please help me. (I will report if you scam or pup something crazy.) habibadabanija scammed me.
The equivalent expression to 3/4 of 2 1/5 is 3/4 × 11/5
The number of miles Manny hiked before he stopped to climb a lookout tower is 1 3/5 miles.The writing area of the poster given the length and width gives them 9/8 square yards and 1 1/8 square yards.How to multiply fraction?Caleb:
Length of rope = 2 1/5 yards
Length used for dog leash = 3/4 of 2 1/5
= 3/4 × 11/5
Manny:
Distance hiked = 6 2/5 miles
Distance he stopped to climb a lookout tower = 1/4 of 6 2/5 miles
Number of miles Manny hiked before he stopped to climb a lookout tower = 1/4 of 6 2/5 miles
= 1/4 × 6 2/5
= 1/4 × 32/5
= 32/20
= 1 12/20
= 1 3/5 miles
Dante and friends:
Length of the poster = 1 1/2 yards
Width of the poster = 3/4 yard
Area of the poster = Length × width
= 1 1/2 yards × 3/4 yard
= 3/2 × 3/4
= 9/8
= 1 1/8 square yards
Therefore, the area of the poster can be calculated by multiplying length by width and written in square units.
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1. The expression to illustrate the fact that Caleb has 2 1/5 yards and then used 3/4 of the rope is B. 3/4 × 11/5.
2. The number of miles that Manny hiked before he stopped is D. 1 3/5 miles.
3. The fraction of the writing area is D. 1 1/8 square yards.
How to compute the fractions?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Caleb has 2 1/5 yards and then used 3/4 of the rope. The expression to illustrate this will be:
= 3/4 × 2 1/5
= 3/4 × 11 / 5
The number of miles that Manny hiked before he stopped is;
= 1 /4 × 6 2/5
= 1/4 × 32/5
= 32 / 20
= 8 / 5
= 1 3/5 miles.
The fraction of the writing area is:
= 1 1/2 × 3/4
= 3/2 × 3/4
= 9/8
= 1 1/8 square yards.
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i need help asap!! ANYONE?? I HAVENT DONT THIS IS LIKE a year
Answer: 5 or -5
Step-by-step explanation:
Since a^2+b^2=c^2 is the Pythagorean theorem, you need to plug in a=3 and b=4 into the equation. 3^2+4^2=c^2. Simplify the left side of the equation first. 3^2 is 9 and 4^2 is 16. 9+16=25. So, 25=c^2. Take the root of this and the square root of 25 is -5 or 5 interchangeably.
What is 3 with an exponent of 0?
When a number has an exponent of 0, it means that the number is being multiplied by itself 0 times. In other words, it is multiplied by 1.
To determine this:
In the case of 3 with an exponent of 0, it would be represented as 3^0. To calculate the value, we would take 3 and multiply it by 0 times.
3 x 1 = 3
So, 3 with an exponent of 0 is equal to 3.
It is important to note that any number with an exponent of 0 will always equal 1, except for 0 which will always be 0. This is because any number multiplied by 1 is itself, and 0 multiplied by any number is always 0.
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Which set of numbers can represent the side lengths in inches of a right triangle?A. 8,12,15B. 10,24,26C. 12,20,25D. 15,18,20
The set B represent the side length in inches of a right triangle.
Now, According to the question:
Let's know:
What is Pythagoras Theorem?
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, [tex]a^2 + b^2 = c^2.[/tex]
Where a and b are the two legs of the triangle and c is the length of the hypotenuse [THE LONGEST SIDE].
We can square each leg on the triangle and take the sum, if that is equal to the square of the longest side, we have a right triangle. Let's check for all of these.
A) [tex]8^2+12^2=15^2[/tex]
64 + 144 = 225
208 ≠ 225
This is not a right triangle.
B) [tex]10^2+24^2=26^2[/tex]
100 + 576 = 676
676 = 676
This is a right triangle.
C) [tex]12^2 + 20^2=25^2[/tex]
144 + 400 = 625
544 ≠ 625
This is not a right triangle.
D) [tex]15^2+18^2=20^2[/tex]
225 + 324 = 400
549 ≠400
This is not a right triangle.
Hence, The set B represent the side length in inches of a right triangle.
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How do you find the center of enlargement of a triangle?
To find the center of enlargement, draw line segments between corresponding vertices of pre-image and image triangles, the point where they intersect is the center of enlargement, check that all the line segments intersect at the same point, or use the coordinates of the triangle and the scale factor.
You can follow these steps:
Identify the pre-image triangle. This is the original triangle that will be enlarged.Identify the image triangle. This is the enlarged version of the pre-image triangle.Draw a line segment between the corresponding vertices of the pre-image and image triangles.The point where these line segments intersect is the center of enlargement.To check that you have the correct center of enlargement, you can draw a line segment between any other corresponding vertices of the pre-image and image triangles and check that they intersect at the same point.Another way to find the center of enlargement is to use the coordinates of the triangle and the scale factor. The center of enlargement is the point that remains the same distance from all points on the image and the pre-image. The center of enlargement is the point that the coordinates of the image triangle obtained from the coordinates of the pre-image triangle by multiplying each coordinate by the same scale factor greater than 1.
It's important to note that, the center of enlargement is the same as the center of dilation.
In both ways, it's important to have the pre-image triangle and the image triangle to find the center of enlargement.
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The range of the function f(x)=[x+3]-5 is
A) [-5,∞)
B) (-5,∞)
C) [3,∞)
D) (3,∞)
The range of a function is the set of all possible outputs (y-values) for a given input (x-value).
Given the function f(x) = [x+3]-5, we can see that the function first adds 3 to x and then subtracts 5. The square bracket notation around (x+3) indicates that the function is taking the greatest integer less than or equal to (x+3).
For any input x, the output of the function will always be the greatest integer less than or equal to (x+3) - 5. Therefore, the output of the function is always an integer less than or equal to -2.
So the range of the function is [-5, -2] U (-2, ∞)
Option A) [-5,∞) is incorrect as the range starts with -5 but the function output is always less than or equal to -2.
Option B) (-5,∞) is incorrect as the function output is always less than or equal to -2.
Option C) [3,∞) is incorrect as the function output is always less than or equal to -2.
Option D) (3,∞) is incorrect as the function output is always less than or equal to -2.
The correct answer is (-2, ∞)
How many vectors are there in 3D Mcq?
There are three vectors in three-dimensional space, namely the X-axis, the Y-axis, and the Z-axis.
What is vector?Vector is a term used to describe a mathematical quantity that has both magnitude and direction, such as velocity, force, and acceleration. A vector can be represented by an arrow, with its length representing the magnitude and its direction indicating the direction. Vectors can be added together or scaled to create new vectors. Vector operations are essential in physics, engineering, and other fields of mathematics.
Each of these vectors has a magnitude and direction and can be used to represent any point in 3D space. All three axes intersect at the origin, which is the point (0,0,0). Vector algebra can be used to describe and calculate the relationships between these vectors in 3D space.
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What is the formula for area of a rectangle and triangle?
The area of a rectangle is found by multiplying the length and width.The area of a triangle is found by taking half the base multiplied by the height.
The formula for this is A = lw, where A is the area, l is the length, and w is the width. For example, if the length of the rectangle is 10 cm and the width is 5 cm, then the area of the rectangle is A = 10 * 5 = 50 cm2.
The area of a triangle is found by taking half the base multiplied by the height. The formula for this is A = 1/2bh, where A is the area, b is the base, and h is the height. For example, if the base of the triangle is 10 cm and the height is 5 cm, then the area of the triangle is A = 1/2 * 10 * 5 = 25 cm2.
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Create math problems with the words : each, time, and product (for multiplication)
On solving the provided question we can say that the value of multiplication is x^34.
What is the multiplication problems?A math problem is a problem or question that requires the application of mathematical concepts and skills to solve.It is an extension of repeated addition. The operation is symbolized by the multiplication sign "x" or an asterisk (*), a dot (•) or the letter "m" . .
For example, if we multiply 4 and 5, the product will be 20 (4x5 = 20).
In addition, multiplication can also be represented using the distributive property, which states that for any three numbers a, b and c, a(b+c) = ab + ac.
In Multiplication, order of numbers doesn't matter, meaning a x b = b x a.
It's also commutative, meaning the order of numbers doesn't change the result.
Multiplication is the foundation for many other mathematical concepts, including algebra and geometry. It's an essential operation in many fields such as science, engineering, and finance.
And answer for above question is given by,
If each of the 5 students in a class has 3 apples, the total number of apples among the students is 3 apples/student * 5 students = 15 apples.
To find the product of the number of apples and the number of students, we multiply the number of apples (15) by the number of students (5) which is 15*5 = 75
So the product of the number of apples and the number of students is 75.
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What kind of slope does y 10 have?
The slope of line y = 10 is zero.
We know that the slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate.
It describes the steepness of a line.
The slope of x - axis.
m = 0
As for x-axis the change in y-coordinate is zero.
So, by definition of slope,
m = 0/(change in x coordinate)
m = 0
We know that the slopes of parallel lines are equal.
A line y = 10 is parallel to x-axis
So, the slope of line y = 10 is zero.
i.e., the line y = 10 has zero steepness.
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y = what to 48 from 180
Keith caught a fish that measured 20 inches. Jeremy caught a fish that measured 19 inches. How many inches longer was Keith’s fish than Jeremy’s?
Answer:
1 inch
Step-by-step explanation:
It's 1 inch because you minus 20 inch by 19 inch and get 1 inch
braylon had 75% of all baseball cards ever made bob's publishing company. if he has 960 cards, how many had bob's publishing company made?
Answer:1280
Step-by-step explanation:
75% of something is 960 you can use trial and error to find the amount by just doing 75% of a number a little higher than what you got
Adam and Daniel are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecakes and chocolate marble cheesecakes. Adam sold 8 pecan cheesecakes and 6 chocolate marble cheesecakes for a total of $182. Daniel sold 7 pecan cheesecakes and 12 chocolate marble cheesecakes for a total of $274. What is the cost each of one pecan cheesecake and one chocolate marble cheesecake?
Using simultaneous equations, the cost of each pecan cheesecake and chocolate marble cheesecake is as follows:
Pecan Cheesecake = $10Chocolate Marble Cheesecake = $17.What are simultaneous equations?Simultaneous equations are a system of equations (two or more equations) solved concurrently or simultaneously.
Pecan Chocolate Total Revenue
Adam's sales 8 6 $182
Daniel's sales 7 12 $274
Let sales units of Pecan = p and sales units of chocolate = c
Equations:Equation 1: 8p + 6c = 182
Equation 2: 7P + 12C = 274
Multiply Equation 1 by 2:
Equation 3: 16p + 12c = 364
Subtract Equation 2 from Equation 3:
16p + 12c = 364
-
7P + 12C = 274
9p = 90
p = 10
= $10
Substitute, p = 10, in Equation 1:
8p + 6c = 182
8(10) + 6c = 182
80 + 6c = 182
6c = 102
c = 17
= $17
Check:
8p + 6c = 182
8(10) + 6(17) = 182
80 + 102 = 182
Thus, based on a system of equations, the pecan cheesecake costs $10 per unit while the chocolate marble cheesecake costs $17 per unit.
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Which proportion could you use to find SR?
In triangle ABC and triangle PQR , DC IS PROPORTION TO SR.
What are triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices.
The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.
This characteristic is known as the triangle's angle sum property.
If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.
In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.
A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides.
The vertex is the intersection of two straight lines. The triangle therefore has three vertices.
Hence, In triangle ABC and triangle PQR , DC IS PROPORTION TO SR.
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Please answer this question and I will give you a brainlist!
Answer:
I think it's (4,4) but I could be wrong
Step-by-step explanation:
Convert this equation into standard form
The standard form of the given equation is expressed as; 3x + y = -1
How to write a Linear Equation is standard form?The standard form for linear equations in two variables is expressed as; Ax + By = C
We are given the equation as;
y - 5 = -3(x + 2)
Expanding the bracket gives us;
y - 5 = -3x - 6
Add 3x to both sides to get;
y - 5 + 3x = -6
Add 5 to both sides to get;
3x + y = -1
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What are the values for the coefficients and constant term of 0 2 3x² 5x?
The expression's coefficients have values of 3 and -5, and the constant term has a value of 2.
The formula is 0 = 2 + 3x² - 5x.
We obtain = 3x² - 5x + 2 = 0 by arranging the equation in the form of the general equation ax2 + bx + c = 0.
The leading coefficient is a, the intermediate term's coefficient is b, and the constant term is c.
We may locate the equation's roots or the parabola's vertex by knowing the values of a, b, and c.
After comparing the equation to the general equation, the coefficient and constant term values are as follows.
A = 3
B = -5
C = 2
So, now both the polynomial and the coefficients are available.
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rewrite the following ratios in simplest form
Answer:
in Step-by-step explanation
Step-by-step explanation:
9)
60/40 = divide both side by 10
6/4 = divide both side by 2
3/2
10)
28/63 = divide both side by 7
4/9
11)
45/120 = divide both side by 15
3/8
what is the equation of the line shown in the graph?
Note that the line is a horizontal line, passing through the point (0, 1) in the y-axis.
All points of this line have 1 as their y-coordinate. That is, this line contains points like (-3, 1), (-1, 1), (5, 1), (17, 1)... etc.
Thus, this is the line where y is always 1, this is the line y=1.
What is horizontal line?A horizontal line is a sleeping line. It is a straight line that goes from left to right or right to left. The word horizontal is derived from the word “horizon”, which is the line where the earth and sky appear to be meeting far far away. A horizontal line is a straight line that is parallel to the x-axis and where all the points on the line have the same y-coordinate.Horizontal line is a straight line that is mapped from left to right, whereas the vertical is a straight line that is mapped from top to bottom. In coordinate geometry, the line parallel to the x-axis is called horizontal line and the line which is parallel to the y-axis is called vertical line.To learn more about vertical line refer to:
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Each and every point along this line has a y-coordinate of 1. This line has points like (-3, 1), (-1, 1), and (5, 1), for example (17, 1).
What is meant by equation of the line?The formula for these lines is y = mx + b, where m denotes the slope and b the y-intercept.
A sleeping line is a line that is horizontal. From left to right or right to left, it is a straight line. The word "horizon," which refers to the line where it appears that the earth and sky are meeting in the distance, is the ancestor of the word "horizontal." A horizontal line is a straight line that is perpendicular to the x-axis and contains points with identical y-coordinates throughout.
Vertical lines are straight lines that are mapped from top to bottom, whereas horizontal lines are straight lines that are mapped from left to right. In coordinate geometry, the horizontal line is the line parallel to the x-axis, while the vertical line is the line parallel to the y-axis.
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