Answers
The sum of all the angles of triangle is 180°
We have the following angles:
70°90°2x+6The sum of all these angles will be equal to 180°
[tex] \sf \: 70 + 90 + 2x + 6 = 180[/tex]
Add all the constants[tex] \sf166 + 2x = 180[/tex]
Move the constant to the right hand side and change its sign[tex] \sf2x = 180 - 166[/tex]
Subtract the numbers[tex] \sf2x = 14[/tex]
Divide both sides by 2[tex] \sf2x \div 2 = 14 \div 2[/tex]
[tex] \boxed{ \tt \: x = 7}[/tex]
Now,The given angle is 2x+6, So put the value of x in this and find the value of angle
2x+62×7+614+620°
Related Questions
Suppose each of the apples weighs about 5 ounces. Can you buy 24 apples for $9? Explain
Answers
Yes You can buy 24 apples for $0.125 per pound. This price will not available except in festival or discounts sale.
what are ounces ?
An ounce is a unit of weight or mass commonly used in the United States and other countries. It is usually abbreviated as oz. One ounce is equal to 1/16th of a pound or approximately 28.35 grams. Ounces are often used to measure small quantities of food or ingredients in recipes, as well as for measuring the weight of small objects.
According to the question:
To determine whether you can buy 24 apples for $9, we need to find the cost per apple.
If 24 apples cost $9, then the cost per apple is:
$9 / 24 apples = $0.375 per apple
Since each apple weighs about 5 ounces, there are about 3 apples per pound:
16 ounces / 5 ounces per apple ≈ 3.2 apples per pound
Therefore, the cost per pound of apples is:
$0.375 per apple / 3 apples per pound = $0.125 per pound
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Barbara buys a chandelier online for $612. If shipping and handling are an additional 28% of the price, how much shipping and handling will Barbara pay?
Answers
Barbara will therefore shell out $171.36 for the cost of shipping and handling.
Price is what word?The amount of money, or its equivalent, for which anything being offered for sale, purchased, or otherwise transacted. A price on someone's head is a sum provided for their capture, whether they are alive or dead.
We must calculate 28% of the chandelier's original purchase price in order to calculate the value Sarah will charge for shipping and handling.
Step 1
Calculate 28% of $612
We can multiply a value by 0.28 to get 28% of it, or reduce it by 100 & then multiply the result by 28. So:
28% of $612 = 0.28 x $612 = $171.36
Step 2
Add the cost of shipping and handling to the purchase price.
Simply include the shipping & handling fee to the original price to get the chandelier's total cost with shipping and handling included:
Total cost = $612 + $171.36 = $783.36
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Audrey and David are reading the same book. Audrey reads 40 pages each day.
David reads 20 pages each day.
Which of the following is a true statement about the number of pages Audrey and David have read after each day?
Select all that apply.
A.
Audrey has always read twice as many pages as David.
B.
After 6 days, Audrey and David have read the same total number of pages.
C.
Audrey has always read a total of 20 pages more than David.
D.
After 2 days, Audrey has read 40 more pages than David.
E.
After 3 days, Audrey has read three times as many pages as David.
ITS MULTIPLE CHOICE BTW
Answers
Hope this helps ……
Jimmy has a piggy bank and which she saves all of her R5,R2 and R1 coins. the coins are in a ratio of 2:5:7 respectively. if she has twelve R5 coins saved in her piggy bank. How much she saved
Answers
The total amount that Jimmy has saved is $420.
How much has she saved?
Ratio shows the relationship between two or more numbers. It is the number of times that one value is contained within other value.
Total amount saved = (sum of ratios x total value of R5 saved) / ratio that represents R5 saved
Sum of ratios = 2 + 5 + 7 = 14
Total value of R5 saved = 12 x 5 = R60
= (14 x 60) / 2 = $420
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I need help, been struggling for a while.
Answers
Answer:
-2
Step-by-step explanation:
5x/2 = -5
5 x/2=2 (-5)
5x= 2 (-5)
5x= -10
5x/5=-10/5
x=-10/5
x=-2
Step 1:
Isolate the variable “x.” We are solving for “x,” so we need to isolate it, meaning we need to “undo” any operations on the left side of the equation while maintaining the equality of the equation.
Notice that 5/2 is multiplying x, hence why the term is displayed as (5/2)x. We need to cancel this 5/2 out to isolate “x.” We can do so by taking the reciprocal of 5/2.
The reciprocal of a fraction is the “flipped” version, meaning the numerator and denominator switch places with each other. The reciprocal property can be represented as: in fraction a/b, the reciprocal is b/a. So, in the fraction 5/2, the reciprocal is 2/5.
We take the reciprocal because it cancels out a fraction multiplying a variable. Here’s how:
(5/2)x•2/5 = [(5•2)/(2•5)]x
[(5•2)/(2•5)]x =(10/10)x
(10/10)x=x
So, we first multiply straight across with the two fractions, so the denominators multiply and numerators multiply. For example:
a/b•b/a=(a•b)/(b•a)
This creates a fraction that has a quotient of 1, as a number divided by the same number is always 1. For example:
(ab)/(ab)=1
This is true because ab is the same number for the numerator and denominator.
So, this is why we take the reciprocal of a fraction multiplying a variable. Because it is a flipped fraction, the numerator and denominator of the product will create a fraction that cancels out. Let’s solve the equation:
Take the reciprocal of 5/2, and multiply it on both sides to keep the equation equal.
(2/5)(5/2)x=-5(2/5)
Simplify by multiplying fractions. Multiply the numerators and denominator of each fraction straight across:
(2•5)/(5•2)x=(-5•2)/5
*Note: -5 is = to -5/1 so that it can multiply 2/5.
Simplify:
(10/10)x=-10/5
Simplify:
x=-2
Now, let’s check x=-5 in the original equation:
(5/2)(-2)=-5
(5•-2)/2=-5
(-10)/2=-5
-5=-5
So, x=-2 is the answer.
Triangle ABC is similar to triangle FGH. Given the following angle measures, find the missing angle measures.
m∠A = 63 degrees
m∠B = 82 degrees
Enter your answers as numbers only.
Answers
The measure of the angle m∠C = m∠H is equal to 35°.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
Given, Triangle ABC is similar to triangle FGH.
Therefore, m∠A = m∠F = 63° and m∠B = m∠G = 82°.
We know the sum of the measure of all the interior angles in a triangle is 180°.
Therefore, m∠C = m∠H = 180° - 63° - 82° = 35°.
Congruency can be applied to any two dimensional figure, For example,
Two circles are congruent if they have the same radius length.
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Use the Associative Property of Addition to write an expression equivalent to (W+4)+2
Answers
Answer:W+6
Step-by-step explanation:
In the Reflecting Ball Game, a ball can be launched from points 1, 2, 3, 4, 5 or 6 in the direction shown. When a ball hits a side of rectangle $ABCD$, it bounces at a $90^{\circ}$ angle back into the playing field. The path of the ball ends when it hits corner point $A$, $B$, $C$, or $D$. The path for starting point 5 is shown in the diagram. Each of the $15$ non-overlapping squares of the playing field has an area of $2$ square centimeters. What is the length of the longest possible path for a ball launched from a starting point?
Answers
The maximum is 12 diagonals or a length of 12 × 2√2 =24√2 centimeters.
How to solveNote that the ball moves only on the diagonals of the 15 non-overlapping squares. Thus we must find the path that traverses the most diagonals.
From point 1, the path traverses 6 diagonals before ending up at D.
From point 2, the path traverses 12 diagonals before ending up at A (incidentally, it passes through point 5 in the specified direction so we do not need to check point 5).
From point 3, the path traverses 3 diagonals before ending up at B.
From point 4, the path traverses 9 diagonals before ending up at C.
From point 6, the path traverses 10 diagonals before ending up at D.
Thus the maximum is 12 diagonals, or a length of 12 × 2√2 =24√2 centimeters.
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what is the distance between the points -3,-8 and 6,-8
Answers
The distance between the points -3,-8, and 6,-8 is 3 units.
What is the distance between two points?The length of the line segment bridging two points on a plane is known as the distance between the points.
Look at the provided points.
Calculate the distance between the points using the given formula.
Given points are -3,-8 and 6,-8
Given two points lies the parallel to X-axis
The distance between the two points is
A (-3,-8) and B(6,-8) = X₂ - X₁
6 - 3 = 3 units.
Therefore, the distance between two points -3,-8 and 6,-8 is 3 units.
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what fraction is .1667
Answers
To convert 0.1667 to a fraction, we write it as 1667/10000, and simplify it to 1/6. Hence, the fraction of .1667 is 1/6.
To convert the decimal number 0.1667 to a fraction, we can write it as 1667/10000. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 167.
1667 ÷ 167 = 10
10000 ÷ 167 = 60 + 40/167
So, the fraction equivalent to 0.1667 is 1667/10000, which can be simplified to 10/60 + 40/167.
10/60 can be simplified to 1/6, so the final simplified fraction is:
0.1667 = 1/6 + 40/167
Therefore, the fraction equivalent to 0.1667 is 1/6.
Converting a decimal to a fraction involves expressing a decimal number as a ratio of two integers. To convert a decimal to a fraction, the decimal is written in the form of a fraction, with the decimal value as the numerator and a power of 10 as the denominator. The resulting fraction can be simplified by finding the greatest common factor between the numerator and denominator, and then dividing both by that factor. For example, to convert 0.1667 to a fraction, we write it as 1667/10000, and simplify it to 1/6.
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Easy Question
A researcher found that students who spent more time exercising each week also had higher average test scores. Describe the correlation, if any, between time spent exercising and test scores.
Answers
The correct answer is a) No you cannot, because the lower boundary of the confidence interval is .131, which is less than .30, and so the true correlation could be less than .30.
What is the correlation analysis?Correlation analysis allows us to examine the strength, direction, and nature of the relationship between two variables, and to determine whether or not there is a statistically significant association between them.
Based on the information given, there appears to be a positive correlation between time spent exercising and test scores. This means that as the time spent exercising increases, the test scores also tend to increase. However, we cannot determine the strength or causality of this correlation without additional information or analysis. It is possible that other factors could be influencing both variables or that there could be confounding variables affecting the relationship.
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Correct question:
Assume a researcher found that the correlation between a test she had developed and exam performance was .5 in a study of 25 students. She had previously been informed that correlations under .30 are considered unacceptable. The 95% confidence interval was [0.131, 0.747]. Can you be confident that the true correlation is at least 0.30?
No you cannot, because the lower boundary of the confidence interval is .131, which is less than .30, and so the true correlation could be less than .30.Yes you can, because the correlation coefficient is .5 (which is above .30) and falls within the boundaries of the confidence interval.No you cannot, because the sample size was too small. Yes you can, because the upper boundary of the confidence interval is above .30 we can be 95% confident that the true correlation will be above .30What sorting algorithms are not comparison based?
Answers
The sorting algorithms that are not comparison based are counting sort, bucket sort, and radix sort.
Counting sort works by counting the number of occurrences of each element in an array and then using this information to determine the position of each element in the sorted array.
Bucket sort works by dividing the array into a number of smaller arrays, called buckets, and then sorting each of these smaller arrays separately.
Radix sort works by sorting the elements of an array based on the individual digits of each element, starting with the least significant digit and working up to the most significant digit.
These algorithms do not rely on comparisons between elements, which is why they are not considered comparison based.
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You have a sample of 35.2g of MgSO4. How many moles of MgSO4 are in the sample? Show all your work
Answers
Answer:
Step-by-step explanation:
The answer is 120.3676. i assume you are converting between grams MgSO4 and mole. You can view more details on each measurement unit: molecular weight of MgSO4
Convert 2 pints into milliliters. Round your answer to the nearest whole number.
Answers
Answer:
To convert 2 pints into milliliters, we need to use the conversion rate that 1 pint equals 473.176 milliliters.
Therefore, we can calculate that 2 pints is equal to 946.352 milliliters. Rounded to the nearest whole number, this would be 946 milliliters.
9th grade math i need help in
Answers
The value of f(1) will be 45.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given a function f(n) = 45.(4/5)ⁿ⁻¹
To calculate the value of f(1) we will substitute the value of the n by 1.
f(1) = 45.(4/5)¹⁻¹
f(1) = 45.(4/5)⁰
f(1) = 45
To calculate the value of f(n -1) we will substitute the value of the n by
n - 1.
f(n -1) = 45.(4/5)ⁿ⁻¹⁻¹
that can also be written as, from the rule of power
f(n -1) = (45.(4/5)ⁿ⁻¹)/4/5
f(n -1) = (45.(4/5)ⁿ⁻¹) * 5/4
f(n -1) = f(n) * 5/4
so,
f(n) = f(n-1) * 4/5
Therefore, the value of f(1) will be 45, and the value of f(n) = f(n-11)*4/5.
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Distribute Solve for the variables 2(y+6)=8
Answers
The value of y is -2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2 (y + 6) = 8
Using the distributive operation of multiplication over addition.
2y + 12 = 8
2y = 8 - 12
2y = -4
y = -2
Thus,
y = -2.
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Determine the intercepts of the line.
Do not round your answers.
3x + 2y = 5
Y=0
X=0
Answers
Answer:
Step-by-step explanation:
X axis intercept (y=0)
3x+2(0)=5
3x=5
x=5/3
Y axis intercept (x=0)
3(0)+2y=5
2y=5
y=5/2
so, the interception points are: (5/3,0) and (5/2,0)
If a < b, what can you say about the locations of a and b on the number line?
There is not enough information given.
a is to the right of b.
a is to the left of b.
a and b are the same distance away from 0.
Answers
If a < b, we can say that b is to the right of a on the number line. In other words, a is to the left of b.
What exactly is the number line?A number line is a horizontal line with evenly spaced number increments. The numbers on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, such as plotting a point.
If a b, then b is to the right of a on the number line. To put it another way, an is to the left of b.
This is because the number line depicts the order of real numbers, with smaller numbers to the left and larger numbers to the right. Because an is less than b, it is a smaller number and must be to the left of b on the number line.
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Jeanne has a piece of fabric in the shape of a square. She wants to cut the fabric in the shape of a circle.
Answers
The approximate area of the remaining part of the fabric is given as 17.415 square feet
How to solve for the area of the remaining fabricTo get the solution, we have to solve for the area of the square shape and the area of the circle
The area of a square is given as A = a²
The area of a circle is given as πr²
We would have area of remaining fabric as
a² - πr²
The square has its sides as a = 9 cm
the circle has π = 3.14
we are to find the radius. But first we have to determine the diameter
The circle runs from one end of the square to the other end. This should be the diameter, because it is the length of the square as well
Diameter = 9 cm
radius = diameter / 2
= 9 / 2
= 4.5
When we put the values in the formula a² - πr² we would have
9² - 3.14 * 4.5²
81 - 3.14 * 20.25
81 - 63.585
= 17.415
The area of the remaining part after the circle is cut is 17.415 square feet
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jacinda divides 19 cookies into 5 equal piles, using as many cookies as possible, but has some left over, how many are left?
Answers
Answer: Jacinda has 4 cookies left over.
Step-by-step explanation:
If Jacinda divides 19 cookies into 5 equal piles using as many cookies as possible, but has some left over, we can use integer division to determine how many cookies are in each pile. Integer division divides two numbers and rounds down to the nearest integer. In this case, the number of cookies in each pile is:
19 cookies ÷ 5 piles = 3 with a remainder of 4
Answer: 4
Step-by-step explanation:
Based on the given conditions, formulate: 19-5
Calculate the sum or difference: 14
If it took 4 hours to mow 7 lawns, then at that rate, how many lawns could be mowed in 16 hours?
Answers
Answer:
28 lawns
Step-by-step explanation
If there is 7 lawns for 4 hours there will be 14 lawns in 8 hours. and 28 lawns in 16 hours
What is the y-intercept of y=-3-7xy=−3−7xy, equals, minus, 3, minus, 7, x?
Answers
Reorder −3 - 3 and −7x - 7 x . Using the slope-intercept form, the y-intercept is −3 .
Hope this helps! Have a lovely day.
Answer:
-3
Step-by-step explanation:
The sum of a number times 2 and 29 is at least −25
Answers
Answer:
Step-by-step explanation:
Let's start by translating the given sentence into an equation:
2x + 29 ≥ -25
To solve for x, we can isolate x on one side of the inequality:
2x ≥ -25 - 29
2x ≥ -54
x ≥ -27
Therefore, the solution to the inequality is x ≥ -27.
steve is standing on a porch of a shore house in malibu. the elevatioin of the porch is about 138 feet steve's eye level is 5 feet above the porch floor. if steve can see a band of surfers on the water at an angle of depression approximately 29 degrees how far are the surfers from his eyes?
geometry trig unit.
Answers
The distance is 295 feet from the surfers from his eyes.
What is geometry?Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons),
According to the given question, we have attached a figure which represents the given situation.
Let the distance would be x from the surfers from his eyes
As per the figure, using the sine ratio to find x:
sin 29° = perpendicular/hypotenuse
Substitute the known values and solve for x:
sin 29° = 143/x
0.4848 = 143/x
x = 294.96
x ≈ 295 feet
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How do you find the symmetry of a distribution?
Answers
Analyzing a distribution's form and the placements of its mean, median, and mode in relation to one another can reveal its symmetry.
Therefore by analyzing a distribution's form and the placements of its mean, median, and mode in relation to one another can reveal its symmetry. The following techniques can be used to determine a distribution's symmetry: Examining a distribution's histogram, box plot, or probability density function visually is one technique to identify a distribution's symmetry. If the distribution's shape appears to be symmetrical, it probably is. The subjective nature of this approach means that it might not give an accurate indication of symmetry.
Skewness is a measurement of a distribution's asymmetry. It may be calculated manually or with the aid of statistical tools. Examining a distribution's histogram, box plot, or probability density function visually is one technique to identify a distribution's symmetry. If the distribution's shape appears to be symmetrical, it probably is. Skewness is zero for a symmetric distribution. When the skewness is positive, the distribution is skewed to.
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what is how do you find DAC
Answers
The value of DAC in the figure would be 47 degrees.
How to find the measure of DAC?From the question, we have the following parameters that can be used in our computation:
The angles EAD, DAC and CAB are all on a straight line which means they add up to 180 degrees.
Angle CAB is in a triangle which means all the angles add up to 180 degrees and the value of this angle is:
= 180 - 80 - 57 = 43 degrees
The value of DAC would then be;
= 180 - EAD - CAB
Substitute the known values in the above equation, so, we have the following representation
= 180 - 90 - 43
= 90 - 43 = 47 degrees
Hence, the angle is 47 degrees
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Anyone help me with this geometry hw?
Answers
The circles with the specified angle of internal sectors, indicates that we get the following arc and radial lengths;
2. m∠ADC = 160°
m∠BDC = 160°
3. Length of [tex]\widehat{CB}[/tex] ≈ 11.17 inches
4. Length of [tex]\widehat{ABC}[/tex] ≈ 13.96 inches
5. a. The radius of ⊙ Q ≈ 14.324 inches
What is the radius of a circle?The radius is the straight line extending from the circle center to the circumference. The radius is the shortest distance from the circle center to the circumference of the circle.
Angle ∠ADC is congruent to ∠BDC in the circle with center D
∠ADC ≅ ∠BDC
2. ∠ADC ≅ ∠BDC, therefore;
m∠ADC = m∠BDC
The angle sum property of the angle at the center of a circle, indicates that we get;
40° + m∠ADC + m∠BDC = 360°
Therefore by plugging in m∠ADC = m∠BDC, we get;
40° + m∠ADC + m∠ADC = 360° (substitution property)
40° + 2 × m∠ADC = 360°
2 × m∠ADC = 360° - 40° = 320°
m∠ADC = 320° ÷ 2 = 160°
m∠ADC = 160° = m∠BDC
m∠BDC = 160°
3. The length of the arc [tex]\widehat{CB}[/tex], can be obtained from the proportion of the circumference of the circle D represented by the sector BDC as follows;
Length of the arc [tex]\widehat{CB}[/tex] = ((m∠BDC)/360°) × 2·π·r
Where;
r = The radius of the circle
The radius of the circle, r = 4 inches
Therefore; Length of the arc [tex]\widehat{CB}[/tex] = (160°/360°) × 2 × π × 4 ≈ 11.17
The length of the arc [tex]\widehat{CB}[/tex] ≈ 11.17 inches4. The length of the arc [tex]\widehat{ABC}[/tex] can be found as follows;
The angle at the center of the arc [tex]\widehat{ABC}[/tex] = 40° + m∠BDC
Therefore; The angle at the center of the arc [tex]\widehat{ABC}[/tex] = 40° + 160° = 200°
Length of [tex]\widehat{ABC}[/tex] = (200°/360°) × 2 × π × 4 inches ≈ 13.96 inches5. The length of the arc [tex]\widehat{AB}[/tex] = 15 inches
The angle formed by the sides AQ and BQ of the sector AQB = 60°
Therefore, we get;
length of the arc [tex]\widehat{AB}[/tex] = (60°/360°) × 2 × π × r = 15 inches
r = 15/((60°/360°) × 2 × π) ≈ 14.324
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The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
a) Determine the proportion of flanges that exceeds 1.01 millimeters.
b) What thickness is exceeded by 90% of the flanges?c) Determine the mean and variance of flange thickness.
Mean = (millimeters)
variance = (millimeters2)
Answers
With the thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
a) 40% of the flanges exceeds 1.01 millimeters.
b) 1.04 millimeters is the thickness that is exceeded by 90% of the flanges.
c) The mean of flange thickness is 1 millimeters and the variance of flange thickness is 0.01 millimeters^2.
a) To determine the proportion of flanges that exceeds 1.01 millimeters, we need to find the area under the probability density function (pdf) of the thickness that is greater than 1.01 millimeters.
Let's call the random variable X representing the thickness of the flange. The pdf of X is uniform, so it has constant value over the interval [0.95, 1.05]. Therefore, the proportion of flanges that exceeds 1.01 millimeters can be found as follows:
P(X > 1.01) = (1.05 - 1.01) / (1.05 - 0.95) = (1.05 - 1.01) / 0.1 = 0.04 / 0.1 = 0.4
So, 40% of the flanges exceed 1.01 millimeters.
b) To find the thickness that is exceeded by 90% of the flanges, we need to solve for X in the following equation:
P(X > X) = 0.9
Substituting the values for the pdf, we get:
(X - 0.95) / (1.05 - 0.95) = 0.9
Solving for X, we get:
X = 0.95 + 0.9 * (1.05 - 0.95) = 0.95 + 0.9 * 0.1 = 0.95 + 0.09 = 1.04
So, 1.04 millimeters is the thickness that is exceeded by 90% of the flanges.
c) The mean of X can be calculated as follows:
Mean = (0.95 + 1.05) / 2 = 1
The variance of X can be calculated as follows:
Variance = (1.05 - 0.95)^2 / 12 = 0.01
So, the mean and variance of flange thickness are:
Mean = 1 millimeters
Variance = 0.01 millimeters^2
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Determine the slope and y-intercept of the line that passes through the points (14, -2) and (5,13)
Answers
Answer:
m = -5/3
Y-intercept: (0, 64/3)
Step-by-step explanation:
Slope = rise/run or (y2 - y1) / (x2 - x1)
Points (14, -2) and (5,13)
We see the y increase by 15 and the x decrease by 9, so the slope is
m = -15/9 = -5/3
The y-intercept is located at ( 0, 64/3)
In a class of class of 50 students, the number of students who offer accounting is twice as the number who offer Economics 10 students offer neither of the two subjects and 5 students offer both subjects (1) How many offer Accounting and Economics. :.) How many offer only
one subject
Answers
The Venn diagram shows that the number of students who offer accounting is 30 and offer Accounting and Economics are only 5.
How to explain the Venn diagram?It should be noted that a Venn diagram is an illustration which uses circles to show the relationship between the objects.
We are given that class of 50 students, the number of students who offer accounting is twice as the number who offer Economics 10 students offer neither of the two subjects and 5 students offer both subjects
The number of students who offer Economics are;
= 10 + 5
= 15
Since accounting is twice as the number who offer Economics.
The number of students who offer accounting are;
= 25 + 5
= 30
The number of students who offer only one subject will be as follows;
= 25 + 10
= 35
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