PLS HELP ME WITH THIS
Using it's concept, the experimental probability of getting an odd number and a number greater than 6 is given by:
1/5.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes. An experimental probability is calculated considering the results of previous trials.
In this problem, there are 10 trials, and of those, 2 of them, trial 8 and trial 10, resulted in an odd number and a number greater than 6, hence the probability is:
p = 2/10 = 1/5.
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find the point on the line 6 x y = 9 that is closest to the point (-3,1) (check your answer with the grapher)
I'll calculate the value of x using numerical methods and provide you with the closest point on the line to (-3, 1).
To find the point on the line 6xy = 9 that is closest to the point (-3, 1), we need to minimize the distance between the given point and any point on the line.
Let's denote the coordinates of the point on the line as (x, y). The distance between the two points can be calculated using the distance formula:
Distance = √[(x - (-3))^2 + (y - 1)^2]
Since we want to minimize this distance, we can minimize the square of the distance:
Square of Distance = (x - (-3))^2 + (y - 1)^2
We also need to satisfy the equation of the line 6xy = 9:
6xy = 9
Now, we have two equations:
1. Square of Distance = (x + 3)^2 + (y - 1)^2
2. 6xy = 9
To find the point that minimizes the distance, we can solve these equations simultaneously.
Let's substitute the value of y from the second equation into the first equation:
Square of Distance = (x + 3)^2 + ((9/(6x)) - 1)^2
To find the minimum value of the square of the distance, we can take the derivative with respect to x and set it equal to zero:
d(Square of Distance)/dx = 0
Solving this equation will give us the value of x. Once we find x, we can substitute it back into the equation 6xy = 9 to find the corresponding value of y.
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2. 9/11 = ?/22
O A. 12
O B.4
O C.9
O D. 18
Answer:
D
Step-by-step explanation:
Is just 9/11 x 2
ajnansjs
Answer:
Option D is correct
Step-by-step explanation:
9/11=x/22
(9/11)×22=x
18=x
or. x=18
On a coordinate plane, a graph of a floor function has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (5, 5) to (6, 5).
Use the graph of the floor function to complete the statements.
Over the interval
, y = 2.
For an input value of –1.5, the corresponding output value is
Answer: Over the interval x = 2≤ x <3, y = 2.
For an input value of –1.5, the corresponding output value is -2
Step-by-step explanation: Easier to find the information of you make a sketch of the graph described. (Good description!)
To find the value, look at the graphed segments that correspond to the given values.
X represents input values, Y represents output values.
Answer:
Over the interval
✔ [2, 3)
, y = 2.
For an input value of –1.5, the corresponding output value is
✔ –2
.
Step-by-step explanation:
edge2020
You have some money to invest in one of two accounts. The first account pays 5% simple interest, and the second pays 4% compound interest. How would you decide which account to use?
Decide the length of your investment period. If it is 12 years or longer, then the account earning compound interest will pay more.
Step-by-step explanation:
The account balance (A) in the simple interest account will be the principal amount (P) added to the interest earned.
A = P + P·0.05·t = P(1+.05t)
Assuming the interest is compounded annually, the account balance in the compound interest account will be the principal amount multiplied by the factor representing the growth due to interest.
A = P(1 +0.04)^t = P·1.04^t
After some number of years, the second account balance will exceed the first account balance. That number of years cannot be found algebraically, but it can be found by graphing or by trial-and-error. It can be found to be about 11.919 years, or about 11 years and 11 months.
If interest is compounded more often than once per year, the break-even point will shorten slightly. It will never be shorter than 10.77 years (compounded continuously).
Answer:
what he said it right
Step-by-step explanation:
Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10% sales tax. How much will she pay altogether? Answer the questions to find out. 1. What is 40% of $20?
Answer:
Molly will pay $13.20 for the dress
40% of $20 is the discount, $8.00
Step-by-step explanation:
multiply dress cost by % you will pay, then add 10%
$20 x .60 then add 10%
$12 is dress with coupon, and 10% of that is $1.20
$12 + $1.20 is $13.20
For box plot data where Q1 = 200, Q2 = 250, and Q3 = 290, the
IQR
The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.
Given that,
For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290
We have to find the data of IQR.
We know that,
IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.
IQR Formula is Q₃ - Q₁
So,
Q₃ = 290
Q₁ = 200
Then ,
IQR = Q₃ - Q₁
IQR = 290 - 200
IQR = 90
Therefore, The value of IQR is 90.
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The day after Thanksgiving dinner, Thomas begins a workout that burns 245 calories each day. It took him 2 weeks to burn off the calories he consumed on Thanksgiving. How many calories did Thomas consume on Thanksgiving?
Answer:
3,430 Cal.
Step-by-step explanation:
You would multiply the number of days in a week: 7 by 2 (14) and then multiply that bye 245 = 3,430
Answer:
3,430
Step-by-step explanation:
First we have 2 weeks, there are 7 days in a week.
2 x 7 = 14
He burns off 245 a day. We multiply 245 by 14 to get:
3,430
Solve -1-w-
W=
DONE
-
35
3 1
5
=
W.
The solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7, meaning that w equals negative six-sevenths when the equation is true.
To solve the equation -1/2w - 3/5 = 1/5w, we'll start by simplifying and rearranging the terms to isolate the variable w.
First, we'll combine like terms on the left side of the equation:
-1/2w - 3/5 = 1/5w
To make the equation easier to work with, let's get rid of the fractions by multiplying every term in the equation by the common denominator, which is 10:
10 * (-1/2w) - 10 * (3/5) = 10 * (1/5w)
This simplifies to:
-5w - 6 = 2w
Next, we'll group the w terms on one side of the equation and the constant terms on the other side:
-5w - 2w = 6
Combining like terms, we have:
-7w = 6
Now, we'll isolate the variable w by dividing both sides of the equation by -7:
(-7w)/(-7) = 6/(-7)
This simplifies to:
w = -6/7
Therefore, the solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7.
In conclusion, w is equal to -6/7 when the equation -1/2w - 3/5 = 1/5w is satisfied.
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the statistical range, with a given probability, that takes random error into account is called the
The statistical range that takes random error into account, with a given probability, is known as the confidence interval. It provides a measure of uncertainty associated with a particular estimate or sample statistic. In the first paragraph, we'll provide a summary of the answer.
A confidence interval consists of two values, an upper and a lower bound, within which the true population parameter is likely to fall. The range is determined by the desired level of confidence, often expressed as a percentage (e.g., 95% confidence interval). The confidence interval considers both the variability within the sample data and the desired level of certainty. It acknowledges that due to random sampling error, the estimate obtained from a sample may differ from the true population parameter. In the second paragraph, we'll delve into an explanation of the answer.
To understand confidence intervals, we need to consider the concept of sampling variability. When we collect a sample from a population, it's rare for the sample to perfectly represent the entire population. There will be inherent variation due to random chance. This variability is known as sampling error. Confidence intervals take into account this sampling error and provide a range of values within which the true population parameter is likely to exist.
The level of confidence chosen for the interval represents the desired probability that the range will contain the true parameter. Commonly used confidence levels are 90%, 95%, and 99%. For example, a 95% confidence interval implies that if we were to repeat the sampling process many times, 95% of the resulting intervals would contain the true population parameter. The wider the interval, the higher the level of confidence, and vice versa.
In conclusion, a confidence interval is a statistical range that incorporates random error and provides an estimate of the likely range within which the true population parameter exists. It considers the desired level of confidence and takes into account the inherent variability due to random sampling error. Confidence intervals are an essential tool in statistical inference, allowing researchers and analysts to quantify the uncertainty associated with their estimates and draw meaningful conclusions from sample data.
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How many 1/6 servings are in 2 1/2 pies?
Answer:
15
Step-by-step explanation:
15/6=2.5 take the 2 1/2 and change it into 6ths.
5. (10 points) use calculus to find the absolute and local extreme values of f(x) = x 3 2 x 2/3 on the interval [−8, 8]
The absolute and local extreme values of the given function f(x) = x^3 - 2x^(2/3) on the interval [−8, 8] is 11.79.
To find the absolute extrema and local extrema of a function on a closed interval, we need to evaluate the function at the critical points and the endpoints of the interval.
First, we need to find the derivative of the function:
f'(x) = 3x^2 - (4/3)x^(-1/3)
Setting f'(x) equal to zero, we get:
3x^2 - (4/3)x^(-1/3) = 0
Multiplying both sides by 3x^(1/3), we get:
9x^(5/3) - 4 = 0
Solving for x, we get:
x = (4/9)^(3/5) ≈ 0.733
Next, we need to evaluate f(x) at the critical point and the endpoints of the interval:
f(-8) ≈ -410.38
f(8) ≈ 410.38
f(0.733) ≈ 11.79
Therefore, the absolute maximum value of f(x) on the interval [-8, 8] is approximately 410.38, and it occurs at x = 8. The absolute minimum value of f(x) on the interval is approximately -410.38, and it occurs at x = -8.
To find the local extrema, we need to evaluate the second derivative of the function:
f''(x) = 6x + (4/9)x^(-4/3)
At the critical point x = 0.733, we have:
f''(0.733) ≈ 7.28
Since f''(0.733) is positive, this means that f(x) has a local minimum at x = 0.733.
Therefore, the local minimum value of f(x) on the interval [-8, 8] is approximately 11.79, and it occurs at x = 0.733.
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4 questions, can anyone help me please?
1. Find angle FGH
2. Find angle HGR
3. Find angle FGR
4. Find angle GSF
1. 135°
2. 108°
i am unsure about 3 & 4, i am sorry :(
whats the elasped time between 9:00 and 1:30
Answer:
4 hours and 30 minutes
Step-by-step explanation:
I'll assume you have a basic knowledge of time and know the sequence. So all you do is count to 1:00 and see how many steps you took. In this case 4, but then you have 30 minutes left. Add that to the 4 hours, and you have a total of 4 hours and 30 minutes of elapsed time.
Hope this helps :)
A can of condensed chicken noodle soup is 10.75 ounces.
It contains 2.5 servings. How many ounces of condensed soup
is one serving?
Answer:
es 4.3
Step-by-step explanation:
por que dividir 10.75 entre 2.5 da 4.3
Factor the expression.
(_q^2r+_s^2)(_q^4t^2-6q^2rs^2t+_s^4t^2)
Answer:
2
3
4
9
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through
(7, 2) and (2, 12).
The equation in slope-intercept form of the line passing through the given points is \(y = -5x + 37\)
Given the following points:
Points on the x-axis = (7, 2) Points on the y-axis = (2, 12)To write an equation in slope-intercept form of the line passing through the given points, we would use the following formula;
\(Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}\)
Substituting the points into the formula, we have;
\(Slope. \;m = \frac{12\; - \;2}{2\; - \;7}\\\\Slope. \;m = \frac{10}{-5}\)
Slope, m = -5
Next, we would find the intercept:
The standard form of an equation of line is given by the formula;
\(y = mx + b\)
Where:
x and y are the points. m is the slope. b is the intercept.Substituting the values, we have:
\(2 = -5(7) + b\\\\2 = -35 + b\\\\b = 35 + 2\)
b = 37
Now, we would write the equation in slope-intercept form:
\(y = -5x + 37\)
Therefore, the equation in slope-intercept form of the line passing through the given points is \(y = -5x + 37\)
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Answer:
Step-by-step explanation:
(12 - 2)/(2 - 7)= 10/-5= -2
y - 2 = -2(x - 7)
y - 2 = -2x + 14
y = -2x + 16
$54.25+55 cents equalssssssssssssssssss
Kevin correctly answered 75% of 32 test questions. How many more questions would Kevin have to answer correctly to get more than 80% correct?
Answer:
2
Step-by-step explanation:
0.75*32=24 is 75% of 32
0.8*32=25.6 is 80% of 32
you need to round to 26 as you cant get .6 of a mark
26-24=2
9x - 6xy + 9 + 9xy - 6y
HELPP
Answer:
9x-6y+3xy+9
Step-by-step explanation:
firstly rearrange
9x-6y-6xy+9xy+9
then simplify those that can
-6xy + 9xy = +3xy
hence
9x-6y+3xy+9
HELP I have this due tommorow click link and use surface area I need verification
Answer:
Question 3: would equal 30.5 and Question 4: would equal 19
the ratio of red marbles to yellow marbles placed in a bag is 2:7. More marbles are added to the bag: 3 red and 3 yellow marbles. Maria states that the ratio is still the same since equal amounts of red and yellow marbles were added to the bag
Answer: False.
Step-by-step explanation:
Initially, the ratio is 2:7
This means that if we have 2 red marbles, we must have 7 yellow ones.
The quotient here is 7/2 = 3.5
Now, if you add 3 marbles of each colour, then we have:
2 + 3 = 5 red marbles
7 + 3 = 10 yellow marbles.
Now the ratio is 5:10
This means that for every 5 red marbles, we have 10 yellow ones.
But now we can divide both numbers by the same positive integer, because they have a common factor equal to 5.
5/5 = 1
10/5 = 2
Then we have:
5:10 = 1:2
So the new ratio is 1:2
Then the ratio changed when we added the new marbles, which means that Maria was wrong.
Point P( –3, 1) is rotated 270°, then reflected across y=x. What is P′′?
Since point P(-3, 1) is rotated 270° and then reflected across y = x, the value of point P′′ is equal to (-3, -1).
What is a rotation?A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
In Geometry, rotating a point 270° about the origin in a clockwise or direction would produce a point that has the coordinates (-y, x).
By applying a rotation of 270° clockwise to point P, the location of P" is given by:
(x, y) → (-y, x)
Point P at (-3, 1) → (-y, x) = Point at P" = (-1, -3)
Next, we would reflect point P" across y = x to have:
(x, y) → (y, x)
Point at P" = (-1, -3) → Point at P" = (-3, -1).
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a) If 2m+n= 16 and 3m + 3 = 30, find the value of m and n.
The values of m and n that satisfy the given system of equations are m = 9 and n = -2.
To find the values of m and n, we can solve the given system of equations:
Equation 1: 2m + n = 16
Equation 2: 3m + 3 = 30
We'll begin by solving Equation 2 for m. Subtracting 3 from both sides of the equation, we get:
3m = 27
Dividing both sides by 3, we find:
m = 9
Now that we know the value of m, we can substitute it into Equation 1 to solve for n. Substituting m = 9 into Equation 1:
2(9) + n = 16
18 + n = 16
Subtracting 18 from both sides:
n = 16 - 18
n = -2
In summary, the solution to the system of equations is m = 9 and n = -2.
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x² +11x +30
-x²-11x - 30
x² - 11x + 30
-x² + 11x + 30
0
2
92
T
Given the graph above, what equation represents the function show
The graph of the polynomial equation is y = -x² - 11x - 30
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
y = -x² - 11x - 30
To find the x-intercepts, we need to set y = 0 in the equation and solve for x. We have -x² - 11x - 30 = 0
On factoring this equation, we get (-x - 6)(x + 5) = 0.
Therefore, the x-intercepts are -6 and 5
And , the y-intercept is at the point (0, -30)
Hence , the equation of graph is plotted and y = -x² - 11x - 30
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the lenght of a rectangular field is twice its breadth. A girl jogged around it 4 times and covered a distance of 4.5 km. what is the length of the field
Step-by-step explanation:
4.5÷4= 1.125
so each time she goes around the rectangle she's covering 1.125 km and we seed the length is twice the breadth x+2x=1.125
so 1.125 / 3 to give x which is the breadth=0.375 x 2 is equal to 0.75 km or 750 m this is the length of the field
Step-by-step explanation:
The length of a rectangular field is twice it's breadth. A girl jogged around it 4 times and covered a distance of 4.5 km. What is the length of the field?
The distance cover in 4 laps is 4.5 km, So one lap is 4.5/4 = 1.125 km.
Let the breadth of the field be B so the length will be L or 2B.
The perimeter of the field is 2L+2B or 4B+2B = 6B = 1.125, so B = 1.125/6 = 0.1875 km and the length is 2*0.1875 = 0.375 km.
Check: perimeter = 2*0.375 + 2*0.1875 = 1.125 km and 4 laps covers 4*1.125 = 4.5 km. correct.
The field is 375 m long.
Draw an angle XYZ of 88 degree . Construct the angle bisector of
Answer:
Step-by-step explanation:
An angle is formed where two or more lines meet. It is measured in degrees. And an angle bisector is a straight line that divides an angle into two equal parts.
Given: <XYZ = \(88^{0}\).
Construction: A bisector of <XYZ.
The construction can be seen in the attached diagram.
5 1/2 - 1 1/3= _______________
Answer: 4 1/6
Step-by-step explanation: I BELIEVE the answer is
A principal was interested in the number of hours slept per night by 14-year-olds in a particular town. She gathered data from a random sample of ten 14-year-olds from a local youth group in the town and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for her data?
Stem-and-leaf plot
Histogram
Circle graph
Bar graph
An appropriate choice of representation for the data of hours slept by 14-year-olds in a particular town.
The principal was interested in the number of hours slept per night by 14-year-olds in a particular town.
She gathered data from a random sample of ten 14-year-olds from a local youth group in the town and wanted to create an appropriate graphical representation for the data.
The most suitable graphical representation for her data is Histogram.
A histogram is a graphical display of data using bars of different heights. In a histogram, each bar groups numbers into ranges, called bins.
Taller bars show that more data falls in that bin.
The histogram is commonly used to represent continuous data that has been grouped into equal intervals, although histograms can be drawn for discrete data as well.
Histograms provide a visual representation of the data, with no gaps between bars.
This means that there are no gaps between the bars as there are in a bar graph.
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Answer:
BAR GRAPH (I TOOK THE EXAM)
Step-by-step explanation:
Determine if the function below is continuous.
Answer:
No
Step-by-step explanation:
I believe at the point of (1,1) there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous.
Continuous means that there is no abrupt changes (google) and im sure you know this already (im just saying no offence to anyone's intelligence)
The given function is not continuous. The correct option is D.
What is a continuous function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
A continuous function in mathematics is one that causes the value of the function to continuously vary as the input changes over time. This indicates that there aren't any discontinuities or sudden changes in value.
The point of (1,1) there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous. Continuous means that there are no abrupt changes.
It is shown in the graph that the function is reducing continuously at the point ( 1,-1) and after that, there is a sudden change in the function after that it becomes constant or parallel to the x-axis.
Because there is a sudden change in the function it will be termed a discontinuous function.
Hence, the function is not continuous, and the correct option is D.
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