transforming an entire distribution of scores into z-scores will not change the shape of the distribution. select one: true false
An whole score distribution converted to z-scores would not alter the distribution's shape. "True" statement.
Define the meaning of the term z-scores?Z-scores let statisticians and traders know whether a score falls within the norm for a given data set or deviates from it.
Analysts can also modify scores from multiple data sets using Z-scores to create scores that are more accurately comparable to one another.The Z-score, in contrast, indicates how far a provided data point deviates from the mean. The Z-score is adverse for data sets that are lower than the mean. 99% of the values in most sizable data sets have a Z-score among -3 and 3, which denotes that they are within 3 standard deviations of the mean either above or below.Thus, an whole score distribution converted to z-scores would not alter the distribution's shape.
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brigid ran a 26.2 mile race last sunday. her average speed during the race was 11.7 miles per hour. how long did it take brigid to finish the race? round your answer to the nearest tenth
Answer:
2.24 hours
Step-by-step explanation:
time = distance/rate
t = 26.2/11.7
t = 2.24 hours
A average speed during the race was 11.7 miles per hour Brigid approximately 2.2 hours to finish the race.
To find the time it took Brigid to finish the race, use the formula:
Time = Distance / Speed
Given that Brigid ran a 26.2 mile race at an average speed of 11.7 miles per hour, plug these values into the formula:
Time = 26.2 miles / 11.7 miles per hour
Calculating this:
Time ≈ 2.2350 hours
Rounded to the nearest tenth:
Time ≈ 2.2 hours
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Out of 30 problems on a
test, Jose got 3 wrong.
What percentage did Jose
get correct?
Answer:
Step-by-step explanation:
3 is 10% of 30. Therefore, the other 27 is the resulting 90% of the whole number of 30.
outliers are extreme values above or below the mean that require special consideration. True/ False
Answer:
false
Step-by-step explanation:
outliers can be neglected especially when working out the mean
Therefore, The statement that "outliers are extreme values above or below the mean that require special consideration" is True.
Explanation:
Outliers are extreme values that lie significantly above or below the mean. They have special considerations because they can affect the interpretation of the mean and standard deviation. For instance, if an outlier is included in the dataset, the mean will be different from when it is excluded, making the mean unreliable. Therefore, outliers should be examined carefully to determine if they represent a genuine value or an error.
Therefore, The statement that "outliers are extreme values above or below the mean that require special consideration" is True.
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calculate the median of 2 4 6 8 10 12
Answer:
7
Step-by-step explanation:
The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.
The point of intersection of a system of equations is (3,4). Which of the following could represent one of the equations in the system of equations?
Select one:
A. 2x+3y=15
B. x+y=8
C. −2x+6y=18
D. −4x−y=−8
Answer:
its A or B i think
Step-by-step explanation:
i can’t figure this out
Answer: -1/3 is the correct answer
Step-by-step explanation:
Use the law of cosines to find each missing side. Round to the nearest tenth
The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known. The value of x is 117.8°. thus, the correct option is A.
What is the Law of Cosine?The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,
\(Cos(\theta) = \dfrac{a^2+b^2-c^2}{2ab}\)
where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
As per the law of cosine, the measure of angle x can be written as,
\(Cos(x) = \dfrac{12^2+5^2-15^2}{2(5)(12)}\\\\Cos(x) = \dfrac{-56}{120}\\\\x = 117.8^o\)
Hence, the value of x is 117.8°. thus, the correct option is A.
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how do i write 125 as a repeated multiplication of 5s
Step-by-step explanation:
Multiply 5 by itself until you get 125.
under what circumstances can a very small treatment effect still be significant? group of answer choices if the standard error of m (s m) is very large if the sample size (n) is very large all of the other factors are likely to produce a significant result. if the sample standard deviation (s) is very large
A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.
What is the standard error, and sample size?The standard error calculates the discrepancy between a sample's estimate and the actual value for the population. Therefore, the standard error should be smaller the better. In fact, a standard error of zero or extremely close to it would indicate that the projected value and the actual value are identical.Sample size determination is the process of deciding how many observations or replicates to include in a statistical sample. The sample size is an important consideration in any empirical study that aims to infer information about a population from a sample.Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.
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An international fast food chain is looking at opening a new franchise in Emerald, Queensland. They contact a marketing research firm to help them assess the level of interest in the restaurant within the town. From a list of all the residential addresses in Emerald, the firm selects a simple random sample of 100 and mails a brief questionnaire to each. The population of interest is
Select one:
a. all people in Emerald, Queensland.
b. all adults in Emerald, Queensland.
c. the 100 addresses to which the questionnaire was mailed.
d. the people in Emerald who eat fast food.
e. all residential addresses in Emerald, Queensland.
The population of interest is: A. all people in Emerald, Queensland.
The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.
Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.
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Sharon wants to make cookies for her class bake sale. She found a recipe that calls for 2/3 cups of flour for each batch of cookies. How many batches can she make using 12 cups of flour?
A. 6
B. 12
C. 8
D.4
Answer:
18 batches (not sure why this isn't an answer, I'm sure it is right)
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)
We have a population of 200 people with a growth rate of 2%. Which equation do we use to calculate how long it will take for the population to double to 400 people? 70/.2 200/,2 200x2 400/2 70/2 70/.02 200/.02 200x.02 200/2
Answer:
70/2
Step-by-step explanation:
We have a population of 200 people
Growth rate = 2%
How long it will take for the population to double
Double the population = 2× 200 = 400
The formula for Exponential growth =
y = a(1 + r)^t
y = Value at time t = 400
a = Initial value = 200
r = 2% = 0.02
t = ?
Hence:
400 = 200 ( 1 + 0.02)^t
Divide both sides by 200
400/200 = 200 ( 1 + 0.02)^t/200
2 = (1.02)^t
Take logarithm of both sides
log 2 = log(1.02)^t
log 2 = t log 1.02
t = log 2/log 1.02
t = 35.003417942
Approximately t = 35
We have so many formula to calculate doubling time
t = 70/Growth rate
From the above question
Growth rate = 70/2%
= 35
Therefore, the equation that we use to calculate how long it will take for the population to double to 400 people is 70/2
Find the value of \(x\)
The value of x in the parallel line is as follows:
1. x = 50
2. x = 55
3. 102 - 2v
How to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as alternate interior angles, alternate exterior angles, corresponding angles, vertically opposite angles, linear angles etc.
Therefore, let's use the angle relationship to find the value of x as follows:
1.
m∠1 = m∠8(alternate interior angles)
2x + 25 = x + 75
2x - x = 75 - 25
x = 50
2.
m∠2 = m∠6(corresponding angles)
3x - 10 = 2x + 45
3x - 2x = 45 + 10
x = 55
3.
m∠3 + m∠8 = 180(same side interior angles)
4v - 31 + 2x + 7 = 180
2x = 180 + 31 - 7 - 4v
2x = 204 - 4v
x = 102 - 2v
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202√
7
√
20
−
5
√
20
2
=
Answer:
3
3
√
2
Step-by-step explanation:
Multiply radical expressions.
Divide radical expressions.
Rationalize the denominator.
determine whether the function has a minimum or maximum f(x)=-2/3x+5 if x<0 -x if 0 4 -x^2+4x+4 if x>4
The function has no minimum or maximum
How to determine the minimum or the maximum of the functionThe function is given as
f(x) = -2/3x + 5 if x < 0
f(x) = -x^2 + 4x + 5 if x > 4
The above function is a piecewise function
And the type of functions in the piecewise function are
Linear functionQuadratic functionA linear function does not have a minimum or a maximum
This means that the function would have no minimum or maximum
Hence, the minimum or the maximum value of the function does not exist
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A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is attached to the front of the boat, which is 10 feet below the level of the pulley. If the rope is pulled through the pulley at a rate of 12 ft/min, at what rate will the boat be approaching the dock when 100 ft of rope is out
When 100 ft of rope is out, the rate at which the boat is approaching the dock is 0 ft/min which means the boat is not moving towards the dock at that moment.
Let x represent the horizontal distance between the boat and the dock (in feet).
Let y represent the vertical distance between the boat and the pulley (in feet).
Since the rope is attached to the front of the boat, which is 10 feet below the level of the pulley, we have y = 10 ft.
The rate of change of the length of the rope, which is related to the distance between the boat and the dock, is dx/dt = 12 ft/min.
We want to find the rate at which the boat is approaching the dock, which is the rate of change of x with respect to time (dx/dt) when 100 ft of rope is out.
Now, let's set up the similar triangles between the boat, the pulley, and the dock.
x / y = (x + 100) / 100
Now, we can differentiate both sides of this equation with respect to time t:
d(x/y)/dt = d((x + 100) / 100)/dt
To solve for dx/dt, we need to differentiate x/y and (x + 100)/100 with respect to time.
Using the quotient rule, we have:
(dx/dt × y - x × dy/dt) / (y²) = (1/100) × (dx/dt)
Substituting y = 10 and dy/dt = 0 (since the pulley is fixed), we get:
(dx/dt × 10 - x × 0) / (10²) = (1/100) × (dx/dt)
10 × dx/dt = (1/100)×(dx/dt)
10 × dx/dt - (1/100) × dx/dt = 0
(1000/100 - 1/100) × dx/dt = 0
(999/100) × dx/dt = 0
dx/dt = 0
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what is 1.5 as a ratio plz help
Answer:
1.5 as a fraction is written as 3/2
Step-by-step explanation:
The ratio 1.5 which is read "1.5 to 1" means that the length is 1.5 times the width. So, for example if your paper is 2 inches in width then the length is 1.5 × 2 = 3 inches.
Ross is wrapping a gift. the package is shaped like the cylinder shown. what is the least amount of paper he need to cover the entire cylinder? use 3.14 for pi
A. 402.92 in2
B. 602. 88 in3
C. 1004.8 in2
D. 2411.52 in3
12 points :)
Your answer to this question would be A.
(Aka) 401.92 in sq 2
Answer:
a ;)
this answer was to short so i had to add stuff.
Find the measure of angle 3
A. 45°
B. 90°
C. 30°
D. 12°
if y=x+2,what would y be if x = -2
Answer:
0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
-2 + 2 = 0
what is the cpk for a process with specification limits of 48 and 30 and a process mean of 42 and sigma of 4?
1.00
6.00
0.5
1.5
The cpk for this process is 0.5.
To calculate the cpk for this process, we first need to calculate the process capability index (cp) using the formula:
cp = (USL - LSL) / (6 × sigma)
where USL is the upper specification limit (48), LSL is the lower specification limit (30), and sigma is the process standard deviation (4).
cp = (48 - 30) / (6 × 4)
cp = 18 / 24
cp = 0.75
Next, we can calculate the cpk using the formula:
cpk = min[(USL - mean) / (3 × sigma), (mean - LSL) / (3 × sigma)]
cpk = min[(48 - 42) / (3 × 4), (42 - 30) / (3 × 4)]
cpk = min[6 / 12, 12 / 12]
cpk = min[0.5, 1]
cpk = 0.5
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Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 3 theta , 0 <= theta <= 2.9 by a straight line segment.
To find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 3θ, 0 ≤ θ ≤ 2.9, with a straight line segment, we need to break down the problem into two parts: the area enclosed by the spiral and the area enclosed by the straight line segment. Answer : Total Area ≈ (2.9)^3 + 37.905
1. Area enclosed by the spiral:
The equation r = 3θ represents a spiral. We can use polar coordinates to find the area enclosed by the spiral. The formula for the area enclosed by a polar curve is given by A = (1/2) ∫[θ1, θ2] r^2 dθ.
In this case, the spiral is given by r = 3θ and the range of θ is 0 to 2.9. Therefore, the area enclosed by the spiral is:
A_spiral = (1/2) ∫[0, 2.9] (3θ)^2 dθ
Simplifying the expression:
A_spiral = (1/2) ∫[0, 2.9] 9θ^2 dθ
A_spiral = (1/2) * 9 * ∫[0, 2.9] θ^2 dθ
Integrating:
A_spiral = (1/2) * 9 * [θ^3/3] evaluated from 0 to 2.9
A_spiral = (1/2) * 9 * [(2.9)^3/3 - 0^3/3]
A_spiral ≈ 9 * [(2.9)^3/9]
A_spiral ≈ (2.9)^3
2. Area enclosed by the straight line segment:
Since the straight line segment connects the ends of the spiral, it forms a triangle. The area of a triangle can be calculated using the formula A_triangle = (1/2) * base * height.
The base of the triangle is the distance between the two ends of the spiral, which is equal to the radius at θ = 2.9: r = 3(2.9) ≈ 8.7.
The height of the triangle is the difference in radii at the ends of the spiral: height = 3(2.9) - 0 = 8.7.
Therefore, the area enclosed by the straight line segment is:
A_line_segment = (1/2) * 8.7 * 8.7 = 37.905
Finally, to find the total area enclosed by the closed curve, we add the area of the spiral and the area of the straight line segment:
Total Area = A_spiral + A_line_segment
Total Area ≈ (2.9)^3 + 37.905
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Find the arc length. Leave your answer in terms of i. An arc with central angle 146° and radius 4 ft O A. 6.491 ft OB. 0.811 ft C. 0.02 ft OD. 3.2410 ft
The arc length of O A is 10.192 ft, the arc length of OB is 16.529 ft, the arc length of C is 2.065 ft, and the arc length of OD is 8.263 ft.
To find the arc length of a circle with central angle θ and radius r, we use the formula L = rθ, where L is the length of the arc.
For O A, the radius is given as 4 ft, and the central angle is given as 146°. We need to convert the central angle from degrees to radians to use the formula for arc length:
θ = 146° * π/180 ≈ 2.548 radians
Now we can plug in the values into the formula to get the arc length:
L = 4 ft * 2.548 = 10.192 ft
Therefore, the arc length of O A is 10.192 ft.
For OB, the radius is given as 6.491 ft, and we need to find the arc length for a central angle of 146°:
θ = 146° * π/180 ≈ 2.548 radians
= 6.491 ft * 2.548 = 16.529 ft
Therefore, the arc length of OB is 16.529 ft.
For C, the radius is given as 0.811 ft, and we need to find the arc length for a central angle of 146°:
θ = 146° * π/180 ≈ 2.548 radians
L = 0.811 ft * 2.548 = 2.065 ft
Therefore, the arc length of C is 2.065 ft.
For OD, the radius is given as 3.2410 ft, and we need to find the arc length for a central angle of 146°:
θ = 146° * π/180 ≈ 2.548 radians
L = 3.2410 ft * 2.548 = 8.263 ft
Therefore, the arc length of OD is 8.263 ft.
In summary, the arc length of O A is 10.192 ft, the arc length of OB is 16.529 ft, the arc length of C is 2.065 ft, and the arc length of OD is 8.263 ft.
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ally spaced spokes and a radius of 30cm. it is mounted on a fixed axle and is spinning at 2.5 rev/s. you want to shoot a 20-cm-long arrow paral- lel to this axle and through the wheel without hitting any of the spokes. assume that the arrow and the spokes are very t
To shoot a 20-cm-long arrow parallel to the axle and through the wheel without hitting any spokes, the arrow should be aimed at a point on the circumference of the wheel that is 4 cm away from any spoke.
The diameter of the wheel is 60 cm (2 x radius), so the circumference is 188.5 cm (π x diameter). Since the arrow is 20 cm long, it must pass through the wheel at a point that is at least 20 cm away from any spoke. To find this point, divide the circumference of the wheel by the number of spokes (which is not given in the problem).
Since the spokes are equally spaced, this will give the minimum distance between any two spokes. For example, if there are 6 spokes, the distance between each spoke is 31.4 cm (188.5 / 6). Therefore, the arrow should be aimed at a point on the circumference of the wheel that is 4 cm (20 / 5) away from any spoke.
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answer all them
- Inequalities:
subtract 2 from both sides of the >
x > 3 done.
and select all the values that are solution of the inequality: -3, -1, 0, 5, 7, 10.
III- Language of reports.
In a fruit basket, there are 9 bananas, 4 apples and 3 plums.
The ratio of bananas to apples is ________:
________. ________.
The ratio of plums to apples is ________:________.
For every group of ________ apples, there are ________ plums.
For every 3 bananas, there is a ________.
2- Write two different sentences that use ratios to describe the number of eyes and legs in this picture.
1st sentence:
2nd sentence:
IV- Application of reports to receipts.
Here is a recipe for tuna stew.
Ingredients
3 cups cooked elbow-shaped pasta
6 ounces canned tuna, drained
1 cup grated cheddar cheese
What is the ratio of ounces of tuna to cups of shredded cheese and cups of pasta in a stew recipe?
How much of each of these 3 ingredients would be needed to make:
twice the amount of stew?
half the amount of stew?
five times the amount of stew?
one-fifth the amount of stew?
How many batches of stew would you make if you used the following amounts of ingredients?
9 cups of pasta and 18 ounces of tuna?
36 ounces of tuna and 18 cups of pasta?
1 cup of pasta and 2 ounces of tuna?
V- Equivalent ratios.
Write 2 ratios that are equivalent to the ratio 6:9
Explain or demonstrate your reasoning.
1- Solve the inequality: x + 2 > 5
Below
x + 2 > 5
The ratio of bananas to apples is 9:4.
The ratio of plums to apples is 3:4.
For every group of 4 apples, there are 3 plums.
For every 3 bananas, there is a plum
How to explain the questionsThe sentence that can use ratio to describe the number of eyes and legs is that there is an equal ratio relating to eyes and legs. Humans have 2 legs and 2 eyes.
The ratio of ounces of tuna to cups of shredded cheese and cups of pasta in a stew recipe will be:
1 cup = 8 ounces
3 cups = 18 ounces
The ratio will be:
= 6:3:18
= 2:1:6
To make twice the amount of stew, the quantities needed will be:
6 cups cooked elbow-shaped pasta
12 ounces canned tuna, drained
2 cup grated cheddar cheese
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maria bought a swimming pool with a circumference of 24 feet. she wants to buy a cover for her pool. what is the approximate size of the cover that maria will need to buy? round your answer to the nearest hundredth.
The approximate size of the cover that Maria will need to buy is 45. 84 square feet
How to determine the valueThe formula for calculating the circumference of a circle is expressed as;
Circumference = πr²
Where 'r' is the radius of the circle
Now, let's substitute the value of the circumference
24 = 2 × 3. 14 × r
r = 24/6. 28
r = 3. 82 feet
Formula for area = πr²
Substitute value of r
Area = 3. 14 × (3. 82)²
Area = 3. 14 × 14. 59
Area = 45. 84 square feet
Hence, the value is 45. 84 square feet
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An IT shop sells laptops, tablets and mobile phones.
The composite bar chart shows information on sales over the last three years.
800
a) How many laptops were sold in 2017?
700
(1)
600
b) Work out the total number of mobile
500
phones sold in the 3 years.
Number sold
400
+
(3)
300
c) Which of the items had the greatest
increase in sales over the 3 years?
Give a reason for your answer.
200
100
+
0
2017
2018
2019
(2)
Total marks: 6
Key:
Laptops
Tablets
Mobile phones
1. 100 laptops were sold in 2017.
2. Total number of mobile phones sold in the 3 years = 60.
3. Mobiles ad the greatest increase in sales over the 3 years which is 600.
What is Bar Graph?Using a discrete data set, a bar chart can be used to display how the data are distributed. Bar charts can display data either horizontally or vertically, and they can also display data from many sets. The category or group is listed on one axis, while the frequency of the category or group is listed on the other.
Given:
we have given the bar graph.
1. 100 laptops were sold in 2017.
2. Total number of mobile phones sold in the 3 years
= 120 + 200 + 280
= 60
3. Mobiles ad the greatest increase in sales over the 3 years which is 600.
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what's the answer to this?
Answer:
13/4 or 3 1/4
Step-by-step explanation:
Make into improper fractions:
4x3+1 = 13, 1x3+1 = 4
13/3 ÷ 4/3
Dividing fractions rule: ALWAYS make the second one a reciprocal (flip the fraction) and then change the sign. Remember KCC, Keep, Change, Change.
So: 13/3 x 3/4
The 3's cancel leaving you with 13/4 or 3 1/4
Hope that helps. Brainliest is appreciated
Review of the basic stock list for your pet shop indicates you need to reorder the following items: 25 boxes of fish food at $9 each, 12 fish bowls at $13, and 15 aquarium accessory starter kits at $15 each. What is the total cost for all the items?.
The total cost for all the items fish, fish bowl, and aquarium will be $606.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
An audit of the fundamental stock rundown for your pet shop demonstrates you want to reorder the accompanying things: 25 boxes of fish food at $9 every, 12 fish bowls at $13, and 15 aquarium extra starter packs at $15 each.
Then the total cost for all the items will be given as,
Total cost = 25 x $9 + 12 x $13 + 15 x $15
Total cost = $225 + $156 + $225
Total cost = $606
The total cost for all the items fish, fish bowl, and aquarium will be $606.
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