The reward of 600 points will be earned by spending the amount of $300.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that, Omar earns 800 reward points for spending 300 dollars.
The amount of money spent to earn 600 reward points will be calculated as,
800 reward points = $300 spending
1 reward point = $300 / 800 spending
600 reward point = ($300 x 600) / 800
600 reward points = $225
Therefore, the reward of 600 points will be earned by spending the amount of $300.
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please please complete it
Answer:
1. 14
2. 11
3. 19.5
4. 16
5. 76
6. 10
7. 2.5
8. 4.5
9. Mean: 10, Median: 9, Mode: 7
10. Mean: 6, Median: 7, Mode: 8,5
11. Mean: 10, Median: 11.5, Mode: 12
Step-by-step explanation:
If you spend $3.00 on 6 apples, what is the unit rate (in dollars) per apple?
Answer:
0.50 cents an apple
Step-by-step explanation:
The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours. Calculate the following: A random movie is between 1.8 and 2.0 hours. A movie is longer than 2.3 hours. The length of movie that is shorter than 94% of the movies
Answer:
0.260.911.43Step-by-step explanation:
given data
mean = 1.9 hours
standard deviation = 0.3 hours
solution
we get here first random movie between 1.8 and 2.0 hours
so here
P(1.8 < z < 2 )
z = (1.8 - 1.9) ÷ 0.3
z = -0.33
and
z = (2.0 - 1.9) ÷ 0.3
z = 0.33
z = 0.6293
so
P(-0.333 < z < 0.333 )
= 0.26
so random movie is between 1.8 and 2.0 hours long is 0.26
and
A movie is longer than 2.3 hours.
P(x > 2.3)
P( \(\frac{x-\mu }{\sigma}\) > \(\frac{2.3-\mu }{\sigma}\) )
P (z > \(\frac{2.3-1.9 }{0.3}\) )
P (z > 1.333 )
= 0.091
so chance a movie is longer than 2.3 hours is 0.091
and
length of movie that is shorter than 94% of the movies is
P(x > a ) = 0.94
P(x < a ) = 0.06
so
P( \(\frac{x-\mu }{\sigma }\) < \(\frac{a-\mu }{\sigma }\) )
\(\frac{a-1.9 }{0.3 } = -1.55\)
a = 1.43
so length of the movie that is shorter than 94% of the movies about 1.4 hours.
Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?
Answer:
48÷4=g
Step-by-step explanation:
Answer:
g=48 divided by 4
Step-by-step explanation:
Help! I need help asap
Answer:
3 looks right but I am not so sure
Step-by-step explanation:
sorry if i am wring
The radius of a circle is 14 in. Find its circumference in terms of π/pi.
schoology
Answer:
196π
Step-by-step explanation:
14^2=196
196×π
=196π
what is equivalent to -23-(26)=x
Daniel rides his bicycle at a rate of 7 miles per hour. At that rate, how long would it take him to ride 28 miles?
Answer:
4 hours
Step-by-step explanation:
because if you areriding at 7 miles an hour 7 can go into 28 4 times sk the answer would be 4 hours for 28 miles
Callie gives 24 inches of green fabric to her sister. How many feet of green fabric does Callie have left?
Answer:
feets of green fabric - 2feets = answer
Step-by-step explanation:
the inch of the total fabric wasn't given but the path given was that given to her sister
being 24inch
we are supposed to turn the inch to feet to find the answer
so, if
1 inch = 1 feets
12
therefore,
24inch = 1\12 * 24 = 2
let total feet of the fabric = f and
let part left of the fabric = p
therefore, p = f - 2
where p = part left
f = total fabric
a set of n = 25 pairs of scores (x and y values) produce a regression equation of ŷ = 3x - 2. Find the predicted Y value for each of the following X scores: 0, 1, 3, 2.
The predicted y values for x = 0, 1, 3, and 2 are -2, 1, 7, and 4, respectively.
The given regression equation is ŷ = 3x - 2. This equation predicts the value of y (dependent variable) based on the value of x (independent variable).
To find the predicted y value for each of the following x scores: 0, 1, 3, 2, we can simply substitute these values of x in the regression equation and solve for y.
For x = 0:
ŷ = 3(0) - 2
ŷ = -2
So the predicted y value for x = 0 is -2.
For x = 1:
ŷ = 3(1) - 2
ŷ = 1
So the predicted y value for x = 1 is 1.
For x = 3:
ŷ = 3(3) - 2
ŷ = 7
So the predicted y value for x = 3 is 7.
For x = 2:
ŷ = 3(2) - 2
ŷ = 4
So the predicted y value for x = 2 is 4.
Therefore, the predicted y values for x = 0, 1, 3, and 2 are -2, 1, 7, and 4, respectively.
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What is the formula to find P(A) for a series of simple events (ex: tossing a coin and selecting a number at the same time)
The probability of event A is P(A) = 1/4 or 0.25.
The formula to find P(A) for a series of simple events is:
P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)
For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:
- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.
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Work out the value of x
Answer: x = 133 degrees
Step-by-step explanation:
Well this problem becomes a lot easier when you break it down into steps and understand parallel lines and the angles that are formed from them. We are trying to work out what x would be so the first step would be to find an easy way to accomplish this. If you know the different types of angles that are formed from parallel lines we would know that corresponding angles are = to each other. This means that the 47 degree angle is the same as the angle directly above this, which I hope you too can visualize in the image as well. Since this new 47 degree angle that we figured out is right next to the angle we want to find out the value for the next step is quite simple. Since we of course know that a straight line is 180 degrees we just need to subtract 47 from 180 to find this x value as it would be whatever forms a straight line. 180-47=133 so the answer is x = 133 degrees. I hope this has helped you and please do no hesitate to ask further follow up questions! Have a wonderful rest of your day :)
108° 4x+8° O alternate interior corresponding vertical linear pair same-side Interior alternate exterior degrees
Alternate Interior angles
x = 25
Explanations:By careful observation of the diagram, we would see that both angles are at the opposite sides of the transversal. At the same time, they are at the interior of the two parallel lines.
This means that <108 and <4x + 8 are alternate interior angles.
Since the two lines intersecting the transversal are parallel, the alternate interior angles are equal
That is,
4x + 8 = 108
4x = 108 - 8
4x = 100
x = 100/4
x = 25
A population has μ = 80 and σ = 12. Find the z-score corresponding to each of the following sample means: M = 84 for a sample of n = 9 scores M = 74 for a sample of n = 16 scores M = 81 for a sample of n = 36 scores
The z-score corresponding to M = 81 for a sample of n = 36 scores is 0.5.
The z-score measures the distance between a sample mean and the population mean in terms of standard deviations. It is calculated by subtracting the population mean from the sample mean and dividing it by the standard deviation divided by the square root of the sample size. In this case, we have a population with a mean (μ) of 80 and a standard deviation (σ) of 12. We need to find the z-score for each of the following sample means: M = 84 for a sample of n = 9 scores, M = 74 for a sample of n = 16 scores, and M = 81 for a sample of n = 36 scores.
For the first scenario, where the sample mean (M) is 84 and the sample size (n) is 9, we can calculate the z-score as follows:
z = (M - μ) / (σ / √n)
Substituting the given values, we get:
z = (84 - 80) / (12 / √9) = 4 / (12 / 3) = 1
Therefore, the z-score corresponding to M = 84 for a sample of n = 9 scores is 1.
For the second scenario, where M = 74 and n = 16, we calculate the z-score as:
z = (M - μ) / (σ / √n)
Substituting the values, we have:
z = (74 - 80) / (12 / √16) = -6 / (12 / 4) = -2
Hence, the z-score corresponding to M = 74 for a sample of n = 16 scores is -2.
Lastly, for the third scenario with M = 81 and n = 36, the z-score can be calculated as:
z = (M - μ) / (σ / √n)
Plugging in the given values:
z = (81 - 80) / (12 / √36) = 1 / (12 / 6) = 0.5
Thus, the z-score corresponding to M = 81 for a sample of n = 36 scores is 0.5.
To summarize, the z-scores for the given sample means are as follows: z = 1 for M = 84 with n = 9, z = -2 for M = 74 with n = 16, and z = 0.5 for M = 81 with n = 36. These z-scores represent the number of standard deviations away from the population mean and are useful in determining the relative position of a sample mean within the population distribution.
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test scores find the percentile rank for each test score in the data set. 12, 28, 35, 42, 47, 49, 50 what value corresponds to the 60th percentile?
The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.
Given that,
For each test score in the data set, the percentile rank is determined. 12, 28, 35, 42, 47, 49,
We have to find what number represents the 60% of the population.
We know that,
So,
Percentile rank =[(Number of values below x)+0.5]/ total number of values × 100
For 12,
Percentile rank = [0 +0.5]/7×100
= 7th
For 28,
Percentile rank = [1 +0.5]/7×100
= 21st
For 35,
Percentile rank = [2 +0.5]/7×100
= 36th
For 42,
Percentile rank = [3 +0.5]/7×100
= 50th
For 47,
Percentile rank = [4 +0.5]/7×100
= 64th
For 49,
Percentile rank = [5 +0.5]/7×100
= 79th
For 50,
Percentile rank = [6 +0.5]/7×100
= 93rd
Now,
n = 7
60th percentile = 60% of n
So,
60% of n = 60/100×7
= 0.6×7
= 4.2
Therefore, The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.
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you need to construct an open-top rectangular box with a square base that must hold a volume of exactly 425 cm3. the material for the base of the box costs 5 cents/cm2 and the material for the sides of the box costs 5 cents/cm2. find the dimensions for a box that will minimize the cost of the materials used to construct box. please show your answers to at least 4 decimal places.
The dimensions for a box that will minimize the cost of the materials used to construct box length is 8.794 and height is 825.
Given:
In the question:
Rectangular box with a square base that must hold a volume of exactly 425 cm3.
The material for the base of the box costs 5 cents/cm2
and, the material for the sides of the box costs 5 cents/cm2.
To find the dimensions for a box that will minimize the cost of the materials used to construct box.
Now, According to the question:
Volume of box is 425 cm^3
V = 425\(cm^3\)
Let the dimension of base is L x L and height of box be h
V = \(L^2\) x h
Cost of base \(c_1\) = \(L^2\) x 5 = 5\(L^2\)
Cost of sides \(c_2\) = (4Lh) x 4
\(c_2\) = 16Lh
Total Cost of the material is = \(c_1+c_2\)
C = 5\(L^2\) + 16Lh
C = 5\(L^2\) + 16L x 425/\(L^2\)
C = 5\(L^2\) + \(\frac{16 (425)}{L}\)
Differentiate C w.r.t L to get maximum/minimum Value
dC/dL = 10L - \(\frac{16 (425)}{L^2}\)
L = 8.794
V = \(L^2\) x h
425 = (8.794)^2 x h
So,
h = 825
Hence, The dimensions for a box that will minimize the cost of the materials used to construct box length is 8.794 and height is 825.
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The sum of two numbers is twice their difference. The larger number is 5 more than twice the smaller. Find the numbers.
Answer:
18 and 6
Step-by-step explanation:
The sum of two numbers is twice their difference: 18 + 6 = 24, 18 - 6 = 12. 24 is twice of 12.
The larger number is 5 more than twice the smaller. Twice of 6 is 12. 5 more than 12 is 18.
if two samples are selected from the same population, under what circumstances are the two samples guaranteed to have exactly the same t statistic?
If two samples are selected from same population, then two samples are guaranteed to have exactly same t-statistic is (d) If samples are same-size and have same-mean and have same-variance.
If two samples are selected from the same population and have the same size, same mean, and same variance, the t statistic calculated for both samples will be exactly the same.
The t statistic is computed using the sample means, sample variances, and sample sizes. When these values are identical for both samples, the calculations for the t-statistic will yield the same result.
This scenario ensures that the t-statistic, which is used for hypothesis testing or constructing confidence intervals, will be consistent across the two samples.
Therefore, the correct option is (d).
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The given question is incomplete, the complete question is
If two samples are selected from the same population, under what circumstances are the two samples guaranteed to have exactly the same t statistic?
(a) If the samples are the same size and have the same variance.
(b) If the samples are the same size and have the same mean.
(c) If the samples have the same mean and the same variance.
(d) If the samples are the same size and have the same mean and have the same variance.
let a, b, and c be complex numbers with a != 0. how that the solutions of az^2 bz c = 0 are z1, z1 =
The solutions obtained are a = 1, b/a = b, and c/a = c
Given that a, b, and c are complex numbers with a ≠ 0. We need to prove that the solutions of az² + bz + c = 0 are z₁ and z₂, where z₁ = (−b + √(b² − 4ac))/2a and z₂ = (−b − √(b² − 4ac))/2a.
The quadratic formula is used to find the roots of a quadratic equation of the form ax² + bx + c = 0. The formula is:
z = (-b ± √(b² - 4ac))/2a
It implies that the solutions of the equation az² + bz + c = 0 are given by
z₁ = (-b + √(b² - 4ac))/2a and
z₂ = (-b - √(b² - 4ac))/2a
We can also use factorization to find the solutions of the equation. To find the roots, we first factorize the quadratic expression:
az² + bz + c = a(z - z₁)(z - z₂)
Dividing both sides by a, we have:
z² + (b/a)z + (c/a) = (1/a)(z - z₁)(z - z₂)
Comparing this expression with the general quadratic equation ax² + bx + c = 0, we obtain:
a = 1, b/a = b, and c/a = c
Therefore, we can find the solutions of the quadratic equation az² + bz + c = 0 using the quadratic formula or by factorizing the expression.
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the backyard if a new home is shaped like a trapezoid with a height of 40 ft and bases of 73 ft and 111 ft. what is the cost of putting sod on the gard, if the landscaper charge 23 cent per square foot for sod
The cost of putting sod on the gard, given the area of the trapezoid backyard of the new home, is $ 864 . 40
How to find the area of a trapezoid ?The backyard of the new home is said to be shaped like a trapezoid which means that the cost of putting sod on the gard can be found by checking for the area of the trapezoid.
The area of a trapezoid can be found by the formula :
= (( Base A + Base B ) x height ) / 2
= ( ( 73 + 111 ) x 40 ) / 2
= 3, 680 square feet
The cost of putting sod on the gard is therefore:
= Area of the backyard x cost per square foot of sod
= 3, 680 x 0. 23
= $ 864 . 40
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if (a²-1/a²)=23 find the value of i) (a+1/a), ii) (a³+1/a³)
pls help me
Answer:
5
Step-by-step explanation:
(a + (1/a)2 = a2 + (1/a2) + 2
⇒ (a + (1/a))2 = 23 + 2
⇒ (a + (1/a))2 = 25
⇒ a + (1/a) =
⇒ a + (1/a) = 5
a3+b3=
(a+b)
(a2−ab+b2)
where a=a
and b=1/a.
so sum it up u get -1
Anybody know the answer for this? ;-;
Answer: the first answer choice
Step-by-step explanation:
Answer:
i think its the bottom one but i dont know
Step-by-step explanation:
Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. theb find the region of the area. y-1/x, y=1/x^2, x=6
Area = ∫[0, 1] (upper curve - lower curve) dy
The upper curve is y - 1/x, and the lower curve is y = 1/x^2.
Area = ∫[0, 1] (y - 1/x - 1/x^2) dy
Evaluate this integral within the given limits of integration to find the area of the region.
The curves provided are:
y - 1/x
y = 1/x^2
x = 6
Let's find the points of intersection between the curves:
Setting the two equations equal to each other, we have:
1/x^2 = 1/x
To simplify the equation, we can multiply both sides by x^2:
1 = x
So the point of intersection between the curves y - 1/x and y = 1/x^2 occurs at (1, 1).
Now, let's sketch the region enclosed by the curves:
Curve y - 1/x:
The curve y - 1/x represents a hyperbola that approaches the x-axis as x approaches positive or negative infinity. It intersects the x-axis at x = 1. The curve extends towards positive and negative y-values.
Curve y = 1/x^2:
The curve y = 1/x^2 is a downward-opening hyperbola. It approaches the x-axis as x approaches positive or negative infinity. The curve has asymptotes at x = 0 and does not intersect the x-axis.
Line x = 6:
The line x = 6 is a vertical line passing through x = 6.
To determine whether to integrate with respect to x or y, we need to consider the orientation of the region. Looking at the given curves, it is clear that the region is vertically bounded. Therefore, we'll integrate with respect to y.
To find the area of the region, we need to determine the limits of integration. The region is bounded by the curves y - 1/x and y = 1/x^2, and it extends from the y-axis to the point of intersection at (1, 1). Therefore, the limits of integration for y are from 0 to 1.
Now, let's calculate the area using the definite integral:
Area = ∫[0, 1] (upper curve - lower curve) dy
The upper curve is y - 1/x, and the lower curve is y = 1/x^2.
Area = ∫[0, 1] (y - 1/x - 1/x^2) dy
Evaluate this integral within the given limits of integration to find the area of the region.
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The region enclosed by the curves y = 1/x, y = 1/\(x^2\), and x = 6 can be found by integrating with respect to x. The region lies in the first quadrant and is bounded by the curves and the line x = 6.
To sketch the region enclosed by the curves, we can start by plotting the graphs of y = 1/x and y = 1/\(x^2\). The curve y = 1/x represents a hyperbola that passes through the points (1, 1), (2, 0.5), (3, 0.33), and so on. The curve y = 1/\(x^2\) is a hyperbola that approaches the x-axis as x increases. The line x = 6 is a vertical line passing through x = 6.
To find the region of the area enclosed by these curves, we need to determine the limits of integration. The region lies to the right of the y-axis (x > 0) and is bounded by the curves y = 1/x and y = 1/\(x^2\). The left boundary of the region is the curve y = 1/x, and the right boundary is the curve y = 1/\(x^2\). The lower boundary is the x-axis, and the upper boundary is the curve y = 1/x.
To calculate the area of this region, we can integrate with respect to x. The limits of integration are x = 1 (the intersection point of the curves y = 1/x and y = 1/\(x^2\)) and x = 6 (the given line). The integral that represents the area is ∫[1, 6] (1/x - 1/\(x^2\)) dx. By evaluating this integral, we can find the area of the region enclosed by the given curves.
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Graph y=2x+5 by using a table.
Help!!!!!!! I would appreciate u very much !!!!!
Please help Determine an expression that would represent the area of the figure shown below:
The expression that represents the area of the figure is: D. x² + 5x + 6.
What is the Area of a Triangle?The area of a triangle can be found using the following formula:
Area of triangle = 1/2 × base × height.
Given the following parameters for the triangular figure shown:
Length of the base of the triangle = 2x + 4
Height of the triangle = x + 3
The area of the triangle = 1/2 × (2x + 4) × (x + 3)
Expand
The area of the triangle = 1/2 [2x(x + 3) + 4(x + 3)]
The area of the triangle = x(x + 3) + 2(x + 3)
The area of the triangle = x² + 3x + 2x + 6
The area of the triangle = x² + 5x + 6
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50 pts to whoever solves this for me
On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?
Answer: Isosceles Trapezoid area: 156 +13 +13= 182 inches
Square area: 12 x 13 = 156
Triangle Side x2: 13 x 2 = 26/2 = 13
Step-by-step explanation:
what does the activity ratio measure in the value stream
The activity ratio in the value stream measures the efficiency of the production process by evaluating the ratio of value-added activities to non-value-added activities.
The activity ratio is a performance metric used in value stream mapping, which is a lean management tool for analyzing and improving the flow of materials and information in a production process.
It focuses on distinguishing value-added activities, which directly contribute to meeting customer requirements, from non-value-added activities, which do not add value but consume resources and time.
By calculating the activity ratio, organizations can assess the proportion of time and resources spent on value-added activities versus non-value-added activities.
A higher activity ratio indicates that a greater portion of resources is dedicated to value-added activities, indicating improved efficiency and reduced waste.
Conversely, a lower activity ratio suggests a higher proportion of resources being utilized for non-value-added activities, indicating potential areas for improvement and waste reduction.
The activity ratio serves as a valuable diagnostic tool for organizations to identify process inefficiencies, bottlenecks, and areas for improvement. By analyzing the activity ratio, organizations can streamline their processes, eliminate waste, and optimize resource allocation to enhance overall productivity and customer value.
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PLEASE HELP GEOMETRY!!! WILL GIVE BRAIN PLEASE!!!