Answer:
0.0246...
Step-by-step explanation:
Answer:40.7021276596 or 0.02456874019
Step-by-step explanation:
The solution to a system of equations is found at the point where the two lines intersect. True or False
Answer:
the answer to your question is true
Answer:
Tue
Step-by-step explanation:
We know that two distinct non-parallel lines will intersect at only one point; therefore, the point of intersection is an ordered pair of numbers that makes both equations in the system true.
Find the slope and the y−intercept of the line in the graph.
The slope is .
The y−intercept is .
Can anyone help me?
Answer:
slope: 5intercept: 4Step-by-step explanation:
It works well to find the slope using points where the graph crosses grid intersections. We see two of those are (0, 4) and (1, 9). The slope formula tells us ...
m = (y2 -y1)/(x2 -x1)
m = (9 -4)/(1 -0) = 5
The slope is 5.
__
The y-intercept is the value of y when x=0. The point (0, 4) tells us ...
The y-intercept is 4.
The volume of the milk produced in a single milking session by a certain breed of cow is
Normally distributed with mean 2.3 gallons with a standard deviation of 0.96 gallons.
Part A Calculate the probability that a randomly selected cow produces between 2.0
gallons and 2.5 gallons in a single milking session. (4 points)
Part B A small dairy farm has 20 of these types of cows. Calculate the probability that the total volume for one milking session for these 20 cows exceeds 50 gallons. (8 points)
Part C Did you need to know that the population distribution of milk volumes per
milking session was Normal in order to complete Parts A or B? Justify your answer.
Part A: the probability that a cow produces between 2.0 and 2.5 gallons is approximately 0.6826.
Part B: To calculate the probability that the total volume for one milking session for 20 cows exceeds 50 gallons, we need additional information about the correlation or independence of the milk volumes of the 20 cows.
Part A: To calculate the probability that a randomly selected cow produces between 2.0 and 2.5 gallons in a single milking session, we can use the normal distribution. We calculate the z-scores for the lower and upper bounds and then find the area under the curve between these z-scores. Using the mean of 2.3 gallons and standard deviation of 0.96 gallons, we can calculate the z-scores as (2.0 - 2.3) / 0.96 = -0.3125 and (2.5 - 2.3) / 0.96 = 0.2083, respectively. By looking up these z-scores in the standard normal distribution table or using a calculator, we can find the corresponding probabilities.
Part B: To calculate the probability that the total volume for one milking session for 20 cows exceeds 50 gallons, we need to consider the distribution of the sum of 20 independent normally distributed random variables. We can use the properties of the normal distribution to find the mean and standard deviation of the sum of these variables and then calculate the probability using the normal distribution.
Part C: Yes, we needed to know that the population distribution of milk volumes per milking session was normal in order to complete Parts A and B. The calculations in both parts rely on the assumption of a normal distribution to determine the probabilities. If the distribution were not normal, different methods or assumptions would be required to calculate the probabilities accurately.
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Solve for x: 3/2 + 1/2x =2x
\( \huge{ \boxed{ \bf{ \red{Problem:-}}}}\)
Solve for x: 3/2 + 1/2x =2x\( \huge{ \boxed{ \bf{ \red{Solution:-}}}}\)
\( \bold{ \frac{3}{2} + {\frac{1}{2} x = 2x}}\)
\( \bold{ ⇒\frac{3}{2} + {\frac{x}{2} = 2x}} \)
\( \bold{⇒\frac{3 + x}{2} = 2x}\)
\( \bold{⇒3 + x = 2(2x)}\)
\( \bold{⇒3 + x = 4x}\)
\( \bold{⇒3 = 4x - x}\)
\( \bold{⇒ \frac{3}{3} = x}\)
\( \bold{ \therefore{x = 1}}\)
Hope it's helpfulplease help! 20 points!!!
Add. 6 5/8+(−6 1/3) Enter your answer as a simplified fraction in the box.
Answer:
\( \frac{7}{24} \)
Step-by-step explanation:
\(6 \frac{5}{8} + \bigg( - 6 \frac{1}{3} \bigg ) \\ \\ = 6 \frac{5}{8} - 6 \frac{1}{3} \\ \\ = \frac{6 \times 8 + 5}{8} - \frac{6 \times 3 + 1}{3} \\ \\ = \frac{48 + 5}{8} - \frac{18 + 1}{3} \\ \\ = \frac{53}{8} - \frac{19}{3} \\ \\ = \frac{53 \times 3 - 19 \times 8}{8 \times 3} \\ \\ = \frac{159 - 152}{24} \\ \\ = \frac{7}{24} \)
an iterative algorithm will usually run faster than an equivalent recursive algorithm. true or false
True, an iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because iterative algorithms use loops to repeat a set of instructions, whereas recursive algorithms call themselves repeatedly until they reach a base case.
An iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because recursive algorithms often involve function calls, which have overhead costs such as saving and restoring the call stack. In contrast, iterative algorithms use loops and do not require the same overhead, making them more efficient in terms of both time and memory usage.
However, it's important to note that some problems may be more elegantly or intuitively solved using recursion, even if it's less efficient. The repeated function calls in a recursive algorithm can lead to slower performance and higher memory usage compared to the more direct approach of an iterative algorithm.
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1. (x^3 - 9 x^2 + 26 x - 24) ÷ (x - 4)
2. (6 x^3 + x^2 - 26 x - 21) ÷ (3x - 7)
3. 2 x^4 - x^3 + 10 x^2 + 8 x - 6) ÷ (x^2 - x + 6)
Answer:
1. = x^2 -5x+6
Step-by-step explanation:
2. = 2x^2 +5x+3
3. =2x^2 +(x-1) +((x)/x^2 -x+6)
When she uses her driver, a golfer has the ability to land in the fairway 75% of the time and she uses her driver 12 times
Picture included write in the simplest form
Using suitable identity, find the value of 87^3+ 13^3/
87^2 −87 ×13 + 13^2
The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.
We will first calculate the numerator:
As (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :
\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))
= 100(\(87^2\) - 87 * 13 + \(13^2\))
Now, calculate the denominator:
\(87^2 - 87 * 13 + 13^2\)
As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):
\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)
\(= 74^2\)
So by solving the equation further:
\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)
As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:
\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)
So, the value of the given expression is 100.
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Directions: State whether or not (3, -2) is a solution to the following systems.
1. x-2y = 7 and 2x + 3y = 0
2.- x - y = -5 and 3x - 4y = 17
3. x + y = 1 and x - y = 6
(3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0, (3, -2) is not a solution to the system of equations -x - y = -5 and 3x - 4y = 17 and (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6
How to determine the whether or not (3, -2) is a solution to the following systems?The systems of equations are given as:
1. x - 2y = 7 and 2x + 3y = 0
2. -x - y = -5 and 3x - 4y = 17
3. x + y = 1 and x - y = 6
Next, we substitute (3, -2) for (x, y) in the system of equations.
So, we have:
1. x - 2y = 7 and 2x + 3y = 0
3 - 2 * -2 = 7 and 2 * 3 + 3 * -2 = 0
Evaluate
7 = 7 and 0 = 0
The above equation is true
Hence, (3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0
2.- x - y = -5 and 3x - 4y = 17
-3 + 2 = -5 and 3 * 3 + 4 * 2 = 17
Evaluate
- 1 = - 5 and 1 7 = 1 7
The above equation is false
Hence, (3, -2) is not a solution to the system of equations -x - y = -5 and 3x - 4y = 17
3. x + y = 1 and x - y = 6
3 - 2 = 1 and 3 + 2 = 6
Evaluate
1 = 1 and 5 = 6
The above equation is false
Hence, (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6
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The trapezoids shown are similar. What is the value of x? 40.5 ft X 54 ft 44 ft
please I need help my Staar test is on Monday and I do not know this, heelllppp
The value side of the trapezoid that is x = 33ft.
How to find the base of the trapezoid?The trapezoid is fascinating since it is defined by your geographical location. draw a trapezium for you while on an exchange trip to the United Kingdom, they will draw it as a trapezium. In some parts of the world, a trapezium is also known as a trapezium, and it is a form of quadrilateral having one pair of opposite sides that are parallel to each other.
To find the value x, take the side of the trapezoid into the proportion.
\(\frac{40.5}{x} = \frac{54}{44}\)
Therefore x = \(\frac{40.5 * 44}{54}\)
x = 33 ft.
Therefore the value of x is 33 ft.
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The formula for the
number of possible ways to choose r objects
from a set of n objects is
n!/r!(n-r)!
How
many different ways can you choose a group
of 3 students from a group of 8 students?
A. 24
B. 56
C. 120
D. 336
Answer:
B
Step-by-step explanation:
note that n! = n(n - 1)(n - 2) ..... × 3 × 2 × 1
using n = 8 and r = 3 in the combination formula
\(\frac{8!}{3!(8-3)!}\)
= \(\frac{8(7)(6)(5)(4)(3)(2)(1)}{3(2)(1)5!}\) ← cancel 5! on denominator with 5(4)(3)(2)(1) on numerator
= \(\frac{8(7)(6)}{3(2)(1)}\)
= \(\frac{56(6)}{6}\) ← cancel 6 on numerator/ denominator
= 56
Answer this in two minutes
Answer:
900
Step-by-step explanation:
a heptagon has 7 sides, so we take the hexagon's sum of interior angles an and add 180 to it's getting us, 720 + 180 = 900 degrees
How can you find a slope
When the dollar price of pounds rises, for example, from $1 = 1 pound to $2 = 1 pound, the dollar has ______ relative to the pound.
The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.
What is Depreciated relative?Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.
A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.
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2(3a + 2) = – 8
show your work
Answer:
a=-2
Step-by-step explanation:
\(2(3a + 4) = - 8 \\( 2 \times 3a = 6a)(2 \times 2 = 4) \\ - 8 - 4 = - 12 \\ 6a \div - 12 = - 2\)
Given startlayout enlarged left-brace first-row startfraction x cubed minus 1 over x squared minus 1 endfraction, for x less-than 1 second row startfraction 3 over x minus 1 endfraction, for x greater-than-or-equal-to 1 endlayout. what is limit of f (x) as x approaches 1 minus? negative three-halves 0 three-halves dne
The limit of f(x) as it approaches -1 is given as 3/2
What is limit in mathematics?In mathematics and computation, the limit can be described to be the value that a sequence is going to approach in such a way that the input would approach or tend towards a given value
The unit is used to assign values to numbers at certain points where there are no defined values.
How to solve the limitwe have 3/x-1
We have to take the value of x here to be three as the equation tends to 1.
Then we apply it in the formula
3/3-1
= 3/2
Hence the limit of f(x) is given as 3/2
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List the first five prime numbers
Answer:
2,3,5,7,11
Step-by-step explanation:
see above for the first five prime numbers
Answer:
2, 3, 5, 7, 11
hope this helps
have a good day :)
Step-by-step explanation:
Q1. A heavy general purpose truck costs $12,000 has a life of six years with a $2,000 SV. using the
MACRS with a GDS recovery period of five years. What is the BV of the equipment at the end of
(including) year four?
IN EXCEL WITH EXPLANATION PLEASE
Answer:
Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.
Step-by-step explanation:
To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:
1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.
2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).
3. Enter the cost of the truck, $12,000, in cell B2.
4. Use the following formula in cell C2 to calculate the depreciation rate for each year:
=MACRS.VDB(B2, 5, 5, 1, C1)
This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).
5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.
6. Use the following formula in cell D2 to calculate the annual depreciation for each year:
=B2*C2
This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.
7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.
8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:
=SUM(D$2:D2)
This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.
9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.
10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:
=B2-E2
This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.
11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.
12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.
Firas and Nabil are comparing their bank accounts. "I have four times more money than
you" , Firas says. "Anyway, I have only $240 less than you" , Nabil answers .
How much money does each one of them have in his account ?
should be solved as a system
Answer:
Firas = $320
Nabil = $80
Step-by-step explanation:
Firas = 4x
Nabil = x
x + 240 = 4x
3x = 240
x = $80
Firas = $240 + $80 OR $80 x 3 = $320
Nabil = $80
Hope that helps!
I need help please!!!!!
Answer:
y-intercept is (0, -2) and asymptote of y = -2.5
Step-by-step explanation:
If you substitute 0 in for x and simplify, then you will have the y-intercept
y = \(\frac{1}{2} (7)^{0} - 2.5 = \frac{1}{2} (1) - 2.5 = \frac{1}{2} - 2.5 = -2\)
The y-intercept is (0, -2)
If the -2.5 were not there, then the graph would have an asymptote at y = 0 or the x-axis
The -2.5 moves the graph down 2.5 units so that y = -2.5 is the asymptote
Therefore, the first answer is correct
Samuel must choose a 4-digit PIN number. The first 2 digits must be numbers cannot repeat. The 3 and 4th digits are letters that cannot repeat. How many different pins are possible with these restrictions?
A. 58,500
B. 70
C. 46,800
D. 72
Please help, I need help on this and has to be done by today.
The side lengths x and y of the right triangle are (5√2)/2 and (5√2)/2.
What are the side lengths x and y of the right triangle?The figure in the image is a right triangle.
Hypotenuse = 5Angle θ = 45°Opposite to angle θ = xAdjacent to angle θ = yTo solve for the values of x and y, we use trigonometric ratio.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Plug in the values
sin( 45 ) = x / 5
x = sin( 45 ) × 5
x = (√2)/2 × 5
x = (5√2)/2
Next, we solve for y.
Cosine = Adjacent / Hypotenuse
cos( 45 ) = y / 5
y = cos( 45 ) × 5
y = (√2)/2 × 5
y = (5√2)/2
Therefore, the value of x is (5√2)/2 and y is (5√2)/2.
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7. At Winco, Faith can buy 3 candy bars for $0.99.
At Food for Less, she can buy 4 candy bars for
$1.25. Which store has the better buy? Explain why.
Answer:
Step-by-step explanation:
If Winco buys 3 candies for $0.99 and each candy costs $0.33
If he buys 4 candies at $1.25 then each candy costs $0.31
Therefore the latter is a better choice.
Tamia has four more coins in her collection than Troy. The number of coins in Troy's collection is two raised to the power of eight. Enter the missing part of the numerical expression that represents the number of coins in Tamia's collection. □+28
Answer:68
Step-by-step explanation: 8 x 8 = 64
4 more, 68
Xin is getting an estimate from a printer for fliers for the drama club.xin orders colors prints and negotiates at 10% discount on the print job for the drama club.If f represents the number of filters Xin orders does 0.10(17.50 + 0.20f) represents the total cost of the print job?why or why not?
Answer:
Yes.
Step-by-step explanation:
10% is 0.10 in decimal form. Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).
In conclusion:
Yes. 0.10( 17.50 + 0.20f ) does represent the total cost of the print job.
A roulette wheel consists of 38 slots, numbered 0, 00, 1, 2,. , 36. To play the game, a metal ball is spun around the wheel and allowed to fall into one of the numbered slots. The slots numbered 0 and 00 are green, the odd numbers are red, and the even numbers are black. (a) Determine the probability that the metal ball falls into a green slot. Interpret this probability. (b) Determine the probability that the metal ball falls into a green or a red slot. Interpret this probability. (c) Determine the probability that the metal ball falls into 00 or a red slot. Interpret this probability (d) Determine the probability that the metal ball falls into the number 31 and a black slot simultaneously. What term is used to describe this event? (a) P(green) = ___ (Type an integer or decimal rounded to four decimal places as needed. ) If the wheel is spun 100 times, one would expect about __ spin(s) to end with the ball in a green slot. (Round to the nearest integer as needed. ) (b) P(green or red) = ___
(Type an integer or decimal rounded to four decimal places as needed. ) If the wheel is spun 100 times, one would expect about __ spin(s) to end with the ball in either a green or red slot. (Round to the nearest integer as needed. ) (c) P(00 or red)= ___ (Type an integer or decimal rounded to four decimal places as needed. )
(a). There is a 5.26% chance that the metal ball falls into a green slot.
(b). There is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.
(c). P(00 or red) ≈ 0.5263
(d). This event is called impossible.
(a) P(green) = 2/38 = 1/19 ≈ 0.0526.
This means that there is a 5.26% chance that the metal ball falls into a green slot on any given spin of the roulette wheel.
If the wheel is spun 100 times, one would expect about 5 spins to end with the ball in a green slot. (Expected value = 100 x P(green) = 100/19 ≈ 5.26, which we round to the nearest integer.)
(b) P(green or red) = P(green) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.
If the wheel is spun 100 times, one would expect about 53 spins to end with the ball in either a green or red slot. (Expected value = 100 * P(green or red) = 2000/38 ≈ 52.63, which we round to the nearest integer.)
(c) P(00 or red) = P(00) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either 00 or a red slot on any given spin of the roulette wheel.
(d) The probability that the metal ball falls into the number 31 and a black slot simultaneously is zero, since 31 is an odd number and all odd numbers are red on the roulette wheel. This event is called impossible.
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subtract the sum of all prime numbers between 10 and 20 from the sum of all composite number between 10 and 20 what is it
Answer:
18
Step-by-step explanation:
Consider the scatter plot
What type of association does the scatter plot show?
Drag a word or phrase into the box to correctly complete the
sentence
The scatter plot shows
association
NEED done today
The given scatter plot shows a negative association.
Scatter Plot and Association RelationshipWhen a scatter plot shows an upward trend, that is, the trendline sloping upwards to the right, it shows a positive association.When the trendline slopes downwards from the left to the right, it shows a negative association between two variables.Therefore, the given scatter plot shows a negative association.
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Answer:
Negative
Step-by-step explanation: