What is 10.0833333 as a fraction?
To write 10.0833333 as a fraction you have to write 10.0833333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
10.0833333 = 10.0833333/1 = 100.833333/10 = 1008.33333/100 = 10083.3333/1000 = 100833.333/10000 = 1008333.33/100000 = 10083333.3/1000000 = 100833333/10000000
And finally we have:
10.0833333 as a fraction equals 100833333/10000000
When rounding to the nearest tenth, which of the numbers below will round to 78.5? Select all that
apply.
A) 78.405
B) 79.4
C) 78.48
D) 78.51
E) 78.54
Answer:
Step-by-step explanation:
The answer is because when rounding it should be b
What number must be divided by 15 3/4 so that the quotient is 60?
I need help with this question
Answer:
b
Step-by-step explanation:
PLS HELP!!! I WILL MARK!!!
(-9, 9)
(-6, 4)
(-3,-1)
(0,-6)
9,4,-1,-6
Answer:
See Explanation
Step-by-step explanation:
\(f(x) = - \frac{5}{3} \times - 6 \\ \\ \begin{vmatrix} x & \: \: \: \: \: \: f(x) \\ \\ - 9 & \: \: \: \: \: \: \boxed{9 }\\ \\ - 6 & \: \: \: \: \: \: \boxed4\\ \\ - 3 & \: \: \: \: \: \: \boxed{- 1}\\ \\ 0 & \: \: \: \: \: \: \boxed{- 6 }\end{vmatrix}\)
alexa made 7 withdrawals of $85 dollars each from her bank account what was the overall change in her account
Answer:
$595
Step-by-step explanation:
85x7=595
Answer:
I belive the total change is $595
Step-by-step explanation:
My explanation is that you take $85 and times it by 7
Listed below is a series of experiments and associated random variables. In each case, identify the values that the random variable can assume and state whethe is discrete or continuous. Experiment Random Variable (x) Values Continuo a. Take a 15-question examination Select your answer - ✓ - Select your answ Number of questions answered correctly Number of cars arriving at tollbooth - Select your answer - V - Select your answ b. Observe cars arriving at a tollbooth for 1 hour c. Audit 50 tax returns Number of returns containing errors - Select your answer - - Select your answ Select your answer - - Select your answ d. Observe an employee's work Number of nonproductive hours in an nine-hour workday e. Weigh a shipment of goods Number of pounds Select your answer - - Select your answ of experiments and associated random variables. In each case, identify the values that the random variable can assume and state whether the random variable S. xperiment Random Variable (x) Values Continuous or Discrete examination - Select your answer - - Select your answer - Number of questions answered correctly Number of cars arriving at tollbooth g at a tollbooth for 1 hour - Select your answer - ✓ - Select your answer - Select your answer - Number of returns containing errors - Select your answer - ✓ - Select your answer - - Select your answer - V ee's work Number of nonproductive hours in an nine-hour workday f goods Number of pounds - Select your answer - - Select your answer - V
This is because the number of pounds can take on an infinite number of values within a range.
The following table shows a series of experiments and associated random variables:ExperimentRandom Variable (x)Values
Continuous or Discrete
a. Take a 15-question examinationNumber of questions answered correctlyDiscreteb. Observe cars arriving at a tollbooth for 1 hourNumber of cars arriving at tollboothDiscretec. Audit 50 tax returnsNumber of returns containing errorsDiscreted. Observe an employee's workNumber of nonproductive hours in a nine-hour workdayDiscretee. Weigh a shipment of goodsNumber of poundsContinuous
The random variable in experiment a is discrete. This is because the number of questions answered correctly can only take on a finite number of values.The random variable in experiment b is also discrete. This is because the number of cars arriving at the tollbooth can only take on a finite number of values.The random variable in experiment c is also discrete. This is because the number of returns containing errors can only take on a finite number of values.The random variable in experiment d is discrete. This is because the number of nonproductive hours in a nine-hour workday can only take on a finite number of values.The random variable in experiment e is continuous.
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The specifications for a plastic liner for a concrete highway project calls for thickness of 4.0 mm±0.10 mm. The standard deviation of the process is estimated to be 0.02 mm. The upper specification limit for this product =mm (round your response to three decimal places). The upper specification limit for this product = 4.1 mm (round your response to three decimal places). The lower specification limit for this product = 3.9 mm (round your response to three decimal places). The process is known to operate at a mean thickness of 4.0 mm. The process capability index (Cpk)= 1.667 (round your response to three decimal places). The upper specification limit lies about 5 standard deviations from the centerline (mean thickness).
The lower specification limit (LSL) for the plastic liner is 3.9 mm (rounded to three decimal places).
To calculate the upper specification limit (USL) for the plastic liner, we know that it lies about 5 standard deviations (σ) from the centerline or mean thickness. The process has a mean thickness of 4.0 mm and a standard deviation (σ) of 0.02 mm.
So, the USL can be calculated as follows:
USL = Mean + (5 * σ)
= 4.0 mm + (5 * 0.02 mm)
= 4.0 mm + 0.1 mm
= 4.1 mm
Therefore, the upper specification limit (USL) for the plastic liner in this highway project is 4.1 mm (rounded to three decimal places).
Similarly, the lower specification limit (LSL) can be calculated by subtracting 5 standard deviations from the mean thickness:
LSL = Mean - (5 * σ)
= 4.0 mm - (5 * 0.02 mm)
= 4.0 mm - 0.1 mm
= 3.9 mm
Therefore, the lower specification limit (LSL) for the plastic liner is 3.9 mm (rounded to three decimal places).
It's worth noting that the given information also mentions the process capability index (Cpk), which is a measure of how well the process meets the specifications. In this case, the Cpk is calculated as (USL - Mean) / (3 * σ), and it is determined to be 1.667 (rounded to three decimal places).
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Sara went shopping and bought a pair of shoes for $33.00. The shoes cost $35.31 after tax. What was the tax rate?
Step-by-step explanation:
so if 33.00$ were 100% then you have to fund how many % is 35.31$
to do that you can just multiply 35.31$ to 100 and then divide it too 33.00$
\((35.31 \times 100) \div 33 \)
that is 107 % and so
35.31 = 107%
33.00=100%
substract 107 from 100 and you get the tax rate
107-100=7 % tax
hope you understood :)
Answer:
7%
Step-by-step explanation:
Tax price = 35.31 - 33
=>Tax price = 2.31
Tax rate = Tax Price/Original Price x 100
= 2.31/33 x 100
= 0.07 x 100
= 7%
Move labels into the blanks to complete the proof that the altitude of the hypotenuse of a right triangle divides the triangle into two triangles
that are similar to the original triangle
In the figure. XZ is the altitude to the hypotenuse of AWXY which creates congruent right angles cYZX and XZW. These angles are
both congruent to 2 Additionally. W is a corresponding part of A WXY and A Similarly, 2Y is a corresponding part
of AWX and A By the Angle Angle-similarity Theorem AWXY-A and AWXY-A
By drawing the altitude XZ in the right triangle AWXY, we have created two smaller triangles, WZX and YZX, which are both similar to the original triangle AWXY, as proven by the Angle-Angle Similarity Theorem.
In the right triangle AWXY, XZ is the altitude to the hypotenuse. This altitude creates two congruent right angles, ∠YZX and ∠XZW, which are both congruent to ∠2. By drawing the altitude XZ, we have divided the original triangle AWXY into two smaller triangles, WZX and YZX.
Now, let's examine the corresponding parts of the triangles. Point W is a corresponding part of triangle AWXY and triangle WZX, while angle Y is a corresponding part of triangle AWXY and triangle YZX.
We can now apply the Angle-Angle (AA) Similarity Theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. Since ∠YZX and ∠XZW are both congruent to ∠2, we can conclude that triangle AWXY is similar to triangle WZX (ΔAWXY ~ ΔWZX) and triangle AWXY is similar to triangle YZX (ΔAWXY ~ ΔYZX).
In summary, by drawing the altitude XZ in the right triangle AWXY, we have created two smaller triangles, WZX and YZX, which are both similar to the original triangle AWXY, as proven by the Angle-Angle Similarity Theorem.
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Vincent has a box of popsicles. There are 12 cherry, grape 10 orange, and 6 blue raspberry If he reaches in the box and pulls one out at random, what the probability it will be blue raspberry?
Answer:
6:28 or 3:14
Step-by-step explanation:
if you add all the flavor amounts up, which is 12 + 10 + 6, you get 28. 6 of those 28 popsicles are blue raspberry, so the ratio is 6:28. if it needs to be simplified, its 3:14 because 6/2 is 3 and 28/2 is 14
Answer:
6:28 if you add all Popsicles it gives you 28,so the probability that he will pick raspberry are 6 ,so if you simplyfy further its 3:14
A line passes through the point (-2, 2) and has a slope of – 6.
Write an equation in slope-intercept form for this line.
Answer:
y = -6x - 10
Step-by-step explanation:
(-2, 2), m = -6
Slope-intercept:
y - y1 = m(x - x1)
y - 2 = -6(x + 2)
y - 2 = -6x - 12
y = -6x - 10
Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x+2y-z = 5 3x-y + 2z = 3 4x + y + (a²-8)2 = a + 5 For a = there is no solution. For a = there are infinitely many solutions. the system has exactly one solution. For a #ti
For a = 3, -1, and 4, the system has exactly one solution.
For other values of 'a', the system may have either no solutions or infinitely many solutions.
To determine the values of 'a' for which the system of equations has no solutions, exactly one solution, or infinitely many solutions, we need to analyze the consistency of the system.
Let's consider the given system of equations:
x + 2y - z = 5
3x - y + 2z = 3
4x + y + (a² - 8)² = a + 5
To begin, let's rewrite the system in matrix form:
| 1 2 -1 | | x | | 5 |
| 3 -1 2 | \(\times\) | y | = | 3 |
| 4 1 (a²-8)² | | z | | a + 5 |
Now, we can use Gaussian elimination to analyze the solutions:
Perform row operations to obtain an upper triangular matrix:
| 1 2 -1 | | x | | 5 |
| 0 -7 5 | \(\times\) | y | = | -12 |
| 0 0 (a²-8)² - 2/7(5a+7) | | z | | (9a²-55a+71)/7 |
Analyzing the upper triangular matrix, we can determine the following:
If (a²-8)² - 2/7(5a+7) ≠ 0, the system has exactly one solution.
If (a²-8)² - 2/7(5a+7) = 0, the system either has no solutions or infinitely many solutions.
Now, let's consider the specific cases:
For a = 3, we substitute the value into the expression:
(3² - 8)² - 2/7(5*3 + 7) = (-1)² - 2/7(15 + 7) = 1 - 2/7(22) = 1 - 44/7 = -5
Since the expression is not equal to 0, the system has exactly one solution for a = 3.
For a = -1, we substitute the value into the expression:
((-1)² - 8)² - 2/7(5*(-1) + 7) = (49)² - 2/7(2) = 2401 - 4/7 = 2400 - 4/7 = 2399.42857
Since the expression is not equal to 0, the system has exactly one solution for a = -1.
For a = 4, we substitute the value into the expression:
((4)² - 8)² - 2/7(5*4 + 7) = (0)² - 2/7(27) = 0 - 54/7 = -7.71429
Since the expression is not equal to 0, the system has exactly one solution for a = 4.
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Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru is able to estimate their wait time more consistently and why?
Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range
The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.
What is a box plot?A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.
Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.
In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.
Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.
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List the first five terms of the sequence: \[ a_{1}=27 \quad d=-5 \]
The first five terms of the sequence are 27, 22, 17, 12, and 7.
To find the first five terms of the sequence given by a₁=27 and d=-5,
we can use the formula for the nth term of an arithmetic sequence:
\(a_n=a_1+(n-1)d\)
Substituting the given values, we have:
\(a_n=27+(n-1)(-5)\)
Now, we can calculate the first five terms of the sequence by substituting the values of n from 1 to 5:
\(a_1=27+(1-1)(-5)=27\)
\(a_1=27+(2-1)(-5)=22\)
\(a_1=27+(3-1)(-5)=17\)
\(a_1=27+(4-1)(-5)=12\)
\(a_1=27+(5-1)(-5)=7\)
Therefore, the first five terms of the sequence are 27, 22, 17, 12, and 7.
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the roof of the clock tower is a square pyramid each side of the base is 16 ft the slant height is 22 ft what is lateral area of the roof
Answer:
Need more points lang sorry
Question number seven.
Answer:
A
Step-by-step explanation:
you divided everything in blankets 3 /-3 is equal to zero
the first blank is 25 the second blank is 10 what is the slope
Answer:
5/2
Step-by-step explanation:
25 and 10 so 25/10 or 5/2 or 2 1/2
how many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once?
Answer:
180
Step-by-step explanation:
A 3-digit number cannot start with 0, so the leftmost digit is a choice of 6 digits out of the 7. The middle digit can be chosen from all 7 digits minus the one already used, so there are 6 choices. The right digit can be chosen from 5.
6 × 6 × 5 = .180
The number of three-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 is 180.
This can be calculated by finding the number of element availabe at first place which is 6 excluding 0 than for second position 6 as first number is excluded and 0 is added and for the last positon the number of possibe combination is 5 as 2 digits are already used.
The final answer is 6*6*5 = 180
so count of 3 digit numbers that can be formed by the given set of digit without repetetion allowed is 180
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Determine the general solution of the differential equation V-V x cos 7x. (Hint: Set v=y' and solve the resulting linear differential equation for v=v(x).)
To determine the general solution of the differential equation V - Vx cos(7x), we can follow the given hint and set v = y', where y is the unknown function.
v' = (y')' = y'' Now, substituting these derivatives into the original differential equation, we have: v - vx cos(7x) = y' - xy' cos(7x) This equation can be rearranged as v - xy' cos(7x) - y' = 0 Factoring out the common factor of y' from the second and third terms, we get: v - (x cos(7x) + 1)y' = 0 Now, since v = y', we can rewrite the equation as a linear differential equation in terms of v: v - (x cos(7x) + 1)v = 0.
Simplifying further, we have (1 - (x cos(7x) + 1))v = 0 1 - x cos(7x) = 0 To solve this linear differential equation, we separate variables and integrate: ∫(1 - x cos(7x)) dx = ∫0 dv Integrating the left side requires integration by parts. Let u = x and dv = cos(7x) dx. Then du = dx and v = (1/7) sin(7x). Applying the integration by parts formula: ∫(1 - x cos(7x)) dx = x - (1/7) sin(7x) + C.
Therefore, the general solution to the given differential equation is:
v(x) = x - (1/7) sin(7x) + C.
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can someone please help me with this!!!!????
Answer:
158 miles
Step-by-step explanation:
D = 59 + 3D [The distance starts with 59 miles and then adds 3 each day, D]
D =59 + 3*(33)
D = 158 miles
Help me ASAP! Please
Answer:
i think the answer is b
Step-by-step explanation:
Answer:
b) is correct dear!
Step-by-step explanation:
see it carefully .... you will come to know ! *b* one is exactly right.....
Carolyn bought a bracelet at original cost $25 to sell in her handicraft store. The markup was 45% on selling price.
a) Find the selling price.
$ _____(Round to two decimal places if necessary.)
b) Find the amount of the markup.
$ _____(Round to two decimal places if necessary.)
The selling price is $36.25 and the markup amount is $11.25.
Given, Original cost of the bracelet, C = $25
Markup is 45% on the selling price
We need to calculate the selling price and the amount of the markup.
a) Selling price
We can find the selling price using the following formula:
Selling price = (1 + Markup%) × CostPrice = C × (1 + Markup%)
Putting the given values in the formula, we get:
Selling price = $25 × (1 + 45/100) = $25 × 1.45 = $36.25
Selling price of the bracelet is $36.25
b) Markup amount
The markup amount can be found using the following formula: Markup amount = Selling price - Cost price
Markup amount = $36.25 - $25 = $11.25
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Simplify the expression (4 + 5i)(4 − 5i). 16 − 20i 16 + 20i −9 41
Answer:
41
Step-by-step explanation:
Simplify the following:
(5 i + 4) (-5 i + 4)
Hint: | Multiply 4 + 5 i and 4 - 5 i together using FOIL.
(4 + 5 i) (4 - 5 i) = (4) (4) + (4) (-5 i) + (5 i) (4) + (5 i) (-5 i):
4×4 + 4 (-5 i) + 5 i×4 + 5 i (-5 i)
Hint: | Multiply 4 and 4 together.
4×4 = 16:
16 - 5×4 i + 5 i×4 + 5 i (-5)×i
Hint: | Multiply 4 and -5 together.
4 (-5) = -20:
16 + -20 i + 5 i×4 + 5 i (-5)×i
Hint: | Multiply 5 and 4 together.
5×4 = 20:
16 - 20 i + 20 i + 5 i (-5)×i
Hint: | Combine products of like terms.
5 i (-5)×i = 5 i^2 (-5):
16 - 20 i + 20 i + -5×5 i^2
Hint: | Evaluate i^2.
i^2 = -1:
16 - 20 i + 20 i - 5×5×-1
Hint: | Multiply 5 and -1 together.
5 (-1) = -5:
16 - 20 i + 20 i - 5-5
Hint: | Multiply -5 and -5 together.
-5 (-5) = 25:
16 - 20 i + 20 i + 25
Hint: | Evaluate 16 - 20 i + 20 i + 25.
16 - 20 i + 20 i + 25 = 41:
Answer: 41
Answer:
Cant give as good of as answer like the other person but it is 41!
Step-by-step explanation:
What is 0.071 as a fraction in lowest terms?
71/10
71/1000
71/50
71/100
Answer:
71/1000
Step-by-step explanation:
cause ik math and I really not smart at the.same time
0.071 as a fraction in the lowest term is \(\frac{71}{1000}\)
What is the lowest term?If the numerator and denominator of a fraction are relatively prime, that is, if they only share the number one, then the fraction is said to be stated in the lowest terms.0.071 in fraction is \(\frac{71}{1000}\)
because 71 and 1000 don't have greatest common factor so the lowest term is also the same.
Therefore, 0.071 as a fraction in the lowest term is
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What is the slope and y-intercept of this line?
y= -1/2x+7
answers:
Slope:7, y-intercept: -1/2
Slope -1/2, y-intercept:7
Slope:1/2, y-intercept: -7
Slope: -7, y-intercept: -1/2
Answer:
I'm not sure but i thinks it's
Slope = -1/2
Y intercept = 7
PLEASE PLEASE HELP!! THANK YOU!
EXPLANATION = BRAINLIEST & FIVE STAR RATING
What is the value of sin E?
Give your answer as a simplified fraction
Answer:
\(\displaystyle \sin E=\frac{20}{101}\)
Step-by-step explanation:
Recall that sine is the ratio between the opposite side and the hypotenuse in a right triangle:
\(\displaystyle \sin x=\frac{\text{opposite}}{\text{hypotenuse}}\)
In the given triangle, with respect to E, the adjacent side is 99, and the hypotenuse is 101. So, we are not given the value of the opposite side.
Since it is a right triangle, we can use the Pythagorean Theorem. Hence:
\(OU^2+99^2=101^2\)
Solving for OU (the opposite side) yields:
\(OU=\sqrt{101^2-99^2}=20\)
Therefore, the opposite side is 20.
Hence:
\(\displaystyle \sin E=\frac{20}{101}\)
andrew buys 8 pounds of apples for $12.00. he wants to know and use the unit rate of the cost per pound. true or false: using the unit rate of the cost per pound, do 5 pounds of apples cost $7.50?
The unit price for the apples is $1.5 per pound. The statement is true.
Now, According to the question:
How to calculate the Unit rate of the cost per pound?
8 pounds of Apple costs $12
The unit rate is
8= 12
1= x
We can write, by cross - multiply
8x = 12
x= 12/8
x= 1.5
Hence, the unit rate of the cost per pound is $1.5
And, 5 pounds of apples cost $7.50
cross multiply,
5× 12/8
60/8 = 7.50
5 pounds of apples = 7.50
Hence, The unit price for the apples is $1.5 per pound. The statement is true.
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How can you apply it triangle congruence to real life situation?
Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.
The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.
Congruence :
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.
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What is the solution to the system of equations?
2x+3y=26
3x+5y=40
1. X=10, y=2
2. X=10, y=-2
3. X=-10, y=-2
4. X=-10, y=2
Answer:
1. x = 10 , y = 2
Step-by-step explanation:
hope it helps ☺️