According to the normal distribution data given the value for x is obtained as 687.5.
What is normal distribution?
One of the families of continuous distributions, the standard normal distribution has a mean of zero and a standard deviation of one. Since most observations are grouped around the mean and mean=median=mode, the distribution is symmetric at the mean zero.
The value for mean is μ = 700.
The value for standard deviation is σ = 50.
The probability value is 0.6.
Use z score formula to solve for value of x -
P (X>x) = 0.6
0.6 = 1 - P (X>x)
0.4 = P[{(X-μ)/σ} ≤ {(x-700)/50}]
z0.4 = (x-700)/50
-0.25 = (x-700)/50
x = (-0.25 × 50) + 700
x = -12.5 + 700
x = 687.5
Therefore, the value for x is 687.5.
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Gladys classifies the following system of equations. Y = 6x + 2 y = 6x + 1 select correct or not correct for each statement.
Answer:
No statements are included in the question. Several observations are noted.
Step-by-step explanation:
y = 6x + 2
y = 6x + 1
y=mx+b is the equation for a straight line, where m is the slope and b the y-intercept.
Observations
1. These are both straight lines.
2. The slopes are both the same: +6. The lines are parallel.
3. Since they are parallel, they will never intersect (within the solar system)
4. The second line is one unit lower than the first: it's y-intercept is +1, comapared to +2 for the first.
5. Since they do not intercept, there is no solution for this system of equations.
These will likely match some of the statements.
The temperature is -3F at 7:00 a.m during the next 4 hours,the temperature increases to 21F.what is the temperature at 11:00 a.m?
Answer: 18 degree F
Step-by-step explanation: we do -3 + 21 = 18
The area of a trapezium is 90m². If the sum of the parallel sides is 30m. Find the perpendicular height of the trapezium
The perpendicular height of the trapezium is given as follows:
h = 6 m.
How to obtain the area of the trapezium?The area of a trapezium with parallel sides a and b, and height h, is given by the equation presented as follows:
A = 0.5h(a + b).
The sum of the parallel sides is 30m, hence:
a + b = 30.
The area is of 90m², hence the height of the trapezium is obtained as follows:
15h = 90
h = 90/15
h = 6 m.
(as a + b = 30, hence 0.5(a + b) = 15).
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We know
Area =1/2(Sum of parallel sides)×height
90=1/2(30)h15h=90h=6mFind two consecutive positive integers such that the square of the larger integer is 19 more than 9 times the smaller integer define your variables and write an equation HURRY HELP PLEASE SHOW STEPS
Answer:
9 and 10
Step-by-step explanation:
x = 1st positive integer
x+1 = 2nd positive integer
Solve for both x and x+1(x+1) is the next positive integer after x (Ex. 3 aka 2+1 is next integer after 2).
Larger Integer: x+1 ==> being squared
Smaller Integer: x ==> being multipled by 9
9x + 19 = (x+1)^2 ==> the square of (x+1) is 19 more that 9 multiplied by x.
9x + 19 = (x+1)(x+1) ==> simplify
9x + 19 = x(x+1) + 1(x+1) ==> distribute (x+1) to x and 1.
9x + 19 = (x*x + 1*x) + (1*x + 1*1)
9x + 19 = x^2 + x + x + 1 ==> simplify
9x + 19 = x^2 + 2x + 1
19 = x^2 - 7x + 1 ==> subtract 9x on both sides
Make one side of the equation equal to 0 so you can factor the equation:
0 = x^2 - 7x - 18 ==> subtract both sides by 19
0 = x^2 + 2x - 9x - 18 ==> 2x - 9x = -7x and 2 * (-9) = -18
0 = x*x + 2x - 9x - 18
0 = x(x + 2) - 9(x + 2) ==> factor
0 = (x - 9)(x + 2)
x - 9 = 0 x + 2 = 0
x = 9 x = -2
Out of x = 9 and x = -2, only x = 9 is positive.
Hence, x = 9 and x+1=10.
Hence, the answers are 9 and 10.
√15x² • √10x³ process
Factoring, using square roots, completing the square, and the quadratic formula are the four ways to solve a quadratic equation.
How many techniques exist to identify roots?Divide the given number into its prime factors as the first step. Form similar factor pairs in which both factors are equal. This is step two. Take one factor from the pair in step three. Step 4: Calculate the product of the factors you got by taking one from each pair of factors.
How do you locate an equation's four roots?A number's fourth root is the same as its square root's fourth root. The radical is multiplied by 4 to represent the fourth root, representing it as 4. For instance, 16's fourth root is is 2, i.e. 2 × 2 × 2 × 2 = 16.
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The complete question is " Simply quadratic equation √15x² • √10x³ . "
Triangle ABC ~ triangle DEF. Use the image to answer the question.
Determine the measurement of EF.
EF = 1.1
EF = 1.39
EF = 2.37
EF = 3.3
Answer:
EF = 2.37
Step-by-step explanation:
It's given that these are similar triangles.
In similar triangles, the side lengths are proportional.
We can write the following equation based on this information:
[tex] \frac{11}{3.3} = \frac{7.9}{ef} [/tex]
Cross multiply fractions11EF = 27.03
Divide both sides by 11EF = 2.37
Which points are reflections of each other across both axes?(–2, 8) and (2, –8)(–7, –1) and (–7, 1)(5, –6) and (–5, –6)(4, –3) and (–3, 4)
The points (–2, 8) and (2, –8) are reflections of each other across both axes. This can be seen by taking their coordinates and plugging them into the reflection formula, which is (x, y) → (–x, –y).
When we plug in the coordinates for the first point, we get (–2, 8) → (–(–2), –(8)) = (2, –8). This is the coordinates of the second point, so they are reflections of each other.
The points (–7, –1) and (–7, 1) are also reflections of each other across both axes. Using the same reflection formula, we get (–7, –1) → (–(–7), –(–1)) = (7, 1), which are the coordinates of the second point.
The points (5, –6) and (–5, –6) are reflections of each other across both axes. Applying the reflection formula, we get (5, –6) → (–(5), –(–6)) = (–5, 6), which are the coordinates of the second point.
Finally, the points (4, –3) and (–3, 4) are reflections of each other across both axes. Using the reflection formula, we get (4, –3) → (–(4), –(–3)) = (–4, 3), which are the coordinates of the second point.
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A fair 6 sided die is rolled twice. What is the probability that the first number that comes up is greater than or equal to the second number?.
Answer: each time you roll a 6-sided die is 1/6 percent to get any number
Step-by-step explanation:
NEED HELP ASAP - Algebra 2 - 50 Points
Answer:
what do you need help on there is no question to answer
Step-by-step explanation:
Shop ell 240 necklace in a month. 180 old in hop the ret online. What' the ratio of hop ale and online ale in implet form
The ratio of shop sales to online sales is 180:60 or 3:1 in simplest form.
The total number of necklaces sold in the shop and online is 240 necklaces.
The number of necklaces sold in the shop is 180 necklaces.
The number of necklaces sold online is 60 necklaces (240 total - 180 shops).
To find the ratio of shop sales to online sales, we divide the number of necklaces sold in the shop by the number sold online.
So, the ratio of shop sales to online sales is 180:60 or 3:1 in simplest form.
This means for every 3 necklaces sold in the shop, 1 necklace is sold online.
Therefore, The ratio of shop sales to online sales is 180:60 or 3:1 in simplest form.
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How do you find the vertex of a quadratic function in intercept form?
The intercept form of a quadratic equation is y = a ( x − p ) ( x − q ) , where is the same value as in standard form, and and are the intercepts
What is quadratic function in intercept form?A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can have openings that are upward or downward, different "widths" or "steepness's," but they all share the same fundamental "U" shape. Y = a (x p) (x q) is a quadratic equation's intercept form, where and are the intercepts, and and are the same value as in standard form.It is referred to as being in standard form when the quadratic function f(x) = a(x - h)2 + k is not equal to zero. The graph opens either upward or downward depending on whether an is positive or negative. The vertex is the point, while the vertical line x = h is the line of symmetry (h,k).To learn more about quadratic function refer to:
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X/2-4=8
Solve it
…….
Answer: x = 24
Step-by-step explanation:
Answer: x= 24
Step-by-step explanation:
so first you have to find the common dominator which would be 8 then you would have to combine fractions with the common dominator then you need to multiply all the numbers
What are the 3 main viewpoints to look at a 3D object?
The three main viewpoints for looking at a 3D object are the top view, the side view, and the front view.
What is vector?Vector is a physical properties.
The top view, also known as the plan view, is a view of the object from above. This view shows the overall shape of the object, as well as its orientation in space. The side view, also known as the elevation view, is a view of the object from the side. This view shows the details of the object's depth, thickness, and height. The front view, also known as the orthographic view, is a view of the object from the front. This view shows the details of the object's width, length, and height. By looking at the object from each of these three views, one can gain a better understanding of its full three-dimensional nature.
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'I decided to add 8.6 to my number then multiply the result by 3, After that I subtracted 1.9 then doubled the result. The answer is 59.2'
What number was Savannah first thinking of?
Answer:
The number was 1.9------------------------------------------
Let the number be x.
Set up equation to reflect all the operations:
((x + 8.6)*3 - 1.9)*2 = 59.2Solve it in below steps:
((x + 8.6)*3 - 1.9)*2 = 59.2(x + 8.6)*3 - 1.9 = 59.2/2 (x + 8.6)*3 - 1.9 = 29.6(x + 8.6)*3 = 29.6 + 1.9 (x + 8.6)*3 = 31.5x + 8.6 = 31.5/3 x + 8.6 = 10.5x = 10.5 - 8.6 x = 1.9Please help me i will pay you
Answer: -x+5/(x-1)(x+3)
Step-by-step explanation:
Subtract 3/(x-1)-4(x+3)
3(x+3)/(x-1)(x+3)-4(x-1)/(x+3)(x-1)
= 3x+9/(x-1)(x+3)-4x+4/(x+3)(x-1)
= -x+5/(x-1)(x+3)
k/6+8=5
show work
solve k
Answer: K = -18
Step-by-step explanation:
Given equation: K/6+8=5
Let's subtract 8 from both sides of the equation
K/6 = -3
Multiply both sides by 6
K = -18
CHALLENGE ACTIVITY 2.3.2: Excel: Linear Regression
Three main implications for linear regression analysis are as follows:
(1) determining the strength of the predictor, (2) foreseeing an impact, and (3) trend forecasting.
Linear regression:
A fundamental and popular technique for predictive analysis is linear regression. Regression's overarching objective is to look at two things:
Accurately can a group of predictor variables forecast an outcome (dependent) variable.
Factors in particular, and how do they affect the outcome variable, are strongly predictive of both.
There are three main functions for regression analysis:
Assessing predictor power, foreseeing an outcome, and trend forecasting.
The regression equation's simplest version, y = c + b*x, has one dependent and one independent variable.
where,
y is the estimated score for the dependent variable, c is a constant, b is the regression coefficient, and x is the estimated score for the independent variable.
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The population of a town increased from 3750 in 2006 to 6150 in 2012. Find the absolute and relative (percent) increase.
Answer:
The absolute diffrence is 1050
The relative percentage is 32.3076%
Step-by-step explanation:
The work is too complicated to write but if u really do need an explanation let me know and I can do it. Sorry Im tired but I will do if u need it.
In the triangle below, suppose that m/C=(5x-7), m/D= (2x+3)°, and m/E=x°.
Find the degree measure of each angle in the triangle.
On solving the provided question, we can say that sum of all angles of a triangle is 180, angle 1 = 103, angle 2 = 47 and angle 3 = 22
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
in the given triangle
sum of all angles of a triangle is 180.
5x - 7 +2x +3 +x = 180
8x = 176
x = 22
angle 1 = 103
angle 2 = 47
angle 3 = 22
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Graph the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor. What are the coordinates of F'?
K = 1/2
The coordinate of the point F' after dilation will be (1, -1). Then the correct option is D.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The coordinate of point F is (2, -2). And the scale factor is 1/2. Then the coordinate of the point F' after dilation will be calculated as,
⇒ (1/2) × (2, -2)
⇒ (1/2 × 2, 1/2 × -2)
⇒ (1, -1)
The coordinate of the point F' after dilation will be (1, -1). Then the correct option is D.
The graph is given below.
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Is triangle ABC congruent to triangle XYZ?
Therefore , the solution of the given problem of triangle comes out to be ABC is congruent with XYZ.
Describe the triangle.A triangle is a polygon since it has three parts and three vertices. It is a fundamental geometric figure. A triangle with the corners A, B, & C is referred to as triangle ABC. A single planar and triangle are found in geometric shapes when four elements are not collinear. Due of its three sides and top right corner, triangles are classified as polygons.
Here.
ABC is congruent with XYZ, hence
then,
∠A equals ∠X
∠B is equivalent to ∠Y.
∠C equals ∠ Z
and,
xy is equivalent to line ab.
yz is identical to line bc.
xz is equivalent to line ac.
Cpct was used to resolve this.
congruent triangle's matching triangle segments
Therefore , the solution of the given problem of triangle comes out to be ABC is congruent with XYZ.
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Where is 0 latitude and 0 longitude?
0 degree latitude and 0 degree longitude is at equator
Longitudes: The vertical lines running north-south, join the two poles. They are called the meridians of longitude. They are spaced farthest apart at the equator and converge at a point at each pole.
Horizontal lines called latitudes are used to measure distances north or south of the equator. Vertical lines known as longitudes are used to determine the west or east of the meridian in Greenwich, England. Latitude and longitude work together to help cartographers, geographers, and others find specific locations on the globe.
What is the uses of latitude?
Any location's distance from the equator may be determined using its latitude, which is based on its degree. We can locate any point on Earth using longitude and latitude. The GPS or Global Positioning System uses these coordinates.
The grid system that enables us to locate absolute or precise places on the surface of the Earth is made up of latitude and longitude. Latitude and longitude can be used to pinpoint certain locations. Landmark identification also benefits from knowledge of latitude and longitude.
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A department store buys 300 shirts at a cost of $1,800 and sell them for $10 each. Find the percent markup rounded to the nearest percent.
The percent markup of the department store is given as follows:
67%.
How to obtain the percent markup?The percent markup is obtained applying the proportions in the context of this problem.
A department store buys 300 shirts at a cost of $1,800, hence the cost per shirt is given as follows:
1800/300 = $6.
The shirts are sold by $10, hence the markup is given as follows:
10 - 6 = $4.
The percent markup is given by the division of the markup by the initial price and multiplied by 100%, hence:
4/6 x 100% = 67%.
(rounded to the nearest percent).
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Answer:
67%
Step-by-step explanation:
How do you use table name in formula?
Therefore , the solution of the given problem of table comes out to be
the steps for using table name in formula are listed below.
About table.A statistic list is a group of figures that displays the results of a calculation with several inputs. Data is organized in rows and columns and is composed of descriptions and numbers. It is simple to remember the table and the pattern of 10. The numerals are 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50, in that order. Value mapping is a technique for displaying the relationships between various data elements. The values table can be useful in any science class.
Here,
These are the actions:
1) Enter the table name starting after the opening parenthesis. Excel will display any names that match as you write the initial letter.
2) Select the name of the table in the list using the arrow keys.
3) To add a name to your formula, double-click the chosen name or hit the Tab key.
4) After typing the final parentheses, hit Enter.
Therefore , the solution of the given problem of table comes out to be
the steps for using table name in formula are listed below.
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find the anwser below in the image (give brainlist)
The missing length, By calculating is FG length is 24 .
What is Quadrilateral ?
Quadrilateral can be defined as the closed shape in which it contains four sides and sum of interior angles are always 360 degrees .
Given ,
Quadrilateral JKLM is similar to EFGH.
The two quadrilaterals are similar. So,
Given lengths in each Quadrilateral are
KJ = 9 KL =18 LM=12 MJ = 21
EF = 12 GH = 16 EH = 28
JK/KL = EF/FG
9 / 18 = 12 / FG
1/2 = 12 / FG
FG = 24
Hence, the missing length FG length is 24 .
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what is 8x+y=-16 -3x+y=-15
Answer:
-1/11, -168/11
The dashes are for a fraction
Step-by-step explanation:
Please help me answer this math question
According to the information, we can infer that she is going to pay $108 as total for the photos; but every photo has a different price from $12 to $0.75
How to calculate the price of each photo?To calculate the price of each photo we have to take into account how many photos fits in a sheet of pictures. Then we have to divide the total price of each sheet in the number of photos she is going to get from each sheet.
Picture for her parentsMeasures: 8 * 10Quantity: 1Price: 1 * $12 = $12Pictures for her grandparentsMeasures: 5 * 7Quantity: 8Price of sheets: 4 * $12 = $48Price of each photo: $12 / 2 = $6Pictures for her aunts and unclesMeasure 3 * 5Quantity: 5Price of sheets: 2 * $12 = $24Price of each photo: $12 / 3 = $4Pictures for her friendsMeasure: Wallet SizeQuantity: 32Price of sheets: 2 * $12 = $24Price of each photo: $12 / 16 = $0.75Then she is going to use 9 sheets, so she is going to pay $108 in total.
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What is a table chart?
A table chart can be used to arrange data in rows and columns. Tables are frequently used in various types of study, communication, and data analysis.
what is sequence ?A sequence is a group of numbers (sometimes known as "terms"), for instance, 2, 5, 8. Some sequences have a particular pattern that can be used to extend them indefinitely. Use the example of 2,5,8 and continue the series by adding 3. There are formulas that outline the locations of words inside a sequence. Informally, a sequence is a group of objects that are arranged in some way in mathematics. It is made up of parts, much like a set. The entire, potentially infinite number of arranged objects is referred to as the length of the sequence. putting two or more things in a logical order. Chronological.
given
A table chart can be used to arrange data in rows and columns.
Tables are frequently used in various types of study, communication, and data analysis.
Tables can be found in a variety of areas, including printed materials, handwritten notes, software, architectural details, and traffic signs.
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Select the correct answer from each drop-down menu. two triangles abc and def are represented. segment ac and segment de has single tick mark. angle c and angle d has double tick marks on arc. if , then ∆abc and ∆efd are congruent by the asa criterion. if , then ∆abc and ∆efd are congruent by the sas criterion.
∆ABC and ∆EFD are congruent by the ASA criterion as segment AC and segment DE has single tick mark, angle A and angle E has single tick marks on arc and angle C and angle D has double tick marks on arc.
The ASA (Angle-Side-Angle) criterion states that if two triangles have two angles and the included side congruent (identical), then the two triangles are congruent.
In this case, both triangles ABC and DEF have two angles congruent (angle A and angle E, and angle C and angle D), and the included side (segment AC and segment DE) congruent. Therefore, by the ASA criterion, the two triangles ABC and DEF are congruent.
To be more precise Angle A and angle E has single tick marks on arc which means both angles are congruent and angle C and angle D has double tick marks on arc which means both angles are congruent. As we know, if two triangles have corresponding parts congruent, the two triangles are congruent.
If segment BC equals to segment FD we can prove that the triangles, ∆ABC and ∆EFD are congruent by the SAS criterion.
--The question is incomplete, answering to the question below--
"Two triangles ABC and DEF are represented. Segment AC and segment DE has single tick mark. Angle A and angle E has single tick marks on arc. Angle C and angle D has double tick marks on arc. If , then ∆ABC and ∆EFD are congruent by the ASA criterion. If , then ∆ABC and ∆EFD are congruent by the SAS criterion."
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I put RT can someone explain what I did wrong
Step-by-step explanation:
please see attached for explaination