Minitab is a statistical program that helps in analyzing data. In this case, the data provided represents the age of a sample of male and female employees in a large company.
To use Minitab for reliable answers, the following steps can be taken :Step 1: Enter the data in the worksheet of Minitab.
Step 2: Generate a boxplot of the data for each gender. From the graph, we can get an idea of the central tendencies and variability of the data for each group.
Step 3: Calculate the descriptive statistics of the data for each gender. This includes measures of central tendency such as mean, median and mode and measures of variability such as standard deviation and variance. These measures provide a summary of the data for each group.
Step 4: Conduct a hypothesis test to determine whether there is a significant difference between the ages of male and female employees. This can be done using a t-test or a z-test depending on the size of the sample and whether the population standard deviation is known or not. test to determine whether there is a significant difference between the ages of male and female employees.
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Which of the six trigonometric functions has a period of \(2\pi\) and passes through the point \((\pi, 0)\)?
Answer:
i need points rq thanks so much
Step-by-step explanation:
imma go waste these points now
Answer:
x
Step-by-step explanation:
If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?
A. 1 minute
B. 5 minutes
C. 10 minutes
D. 15 minutes
E. 100 minutes
Can you combine 3x + 13y + 10? Why or Why not?
Answer: Nope.
Explanation: In order to combine like-terms, they must all have the same variable. In 3x + 13y + 10, none of them have the same variable, so therefore cannot be combined.
by observing a set of data values, thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ
A person weighing 173 pounds can burn 10.7 calories per minute.
The given equation is ŷ=2.2+0.05x.
To solve this question, we can use the equation given, ŷ=2.2+0.05x. We can insert the known weight value, 173 pounds, to calculate the anticipated calories burned per minute.
y = 2.2 + 0.05x
y = 2.2 + 0.05 × 173
y = 10.7
Therefore, a person weighing 173 pounds can burn 10.7 calories per minute.
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"Your question is incomplete, probably the complete question/missing part is:"
By observing a set of data values, Thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ=2.2+0.05x
Based on the information gathered by Thomas, select the statement that is true.
a) A person weighing 149 pounds can burn 9.8 calories per minute.
b) A person weighing 134 pounds can burn 8.9 calories per minute.
c) A person weighing 125 pounds can burn 8.3 calories per minute.
d) A person weighing 173 pounds can burn 10.7 calories per minute.
Answer:
A person weighing 134 pounds can burn 8.9 calories a minute.
Step-by-step explanation:
Consider the case in which the proportionality constant C is equal to 1/2. Plot the graph of y=1/2x. How would you graph?
To graph the equation y = (1/2)x, we can plot points on a coordinate plane and connect them to create a straight line. Here's how to do it:
1. Choose some x-values to evaluate the equation. Let's select a range of x-values, such as -10, -5, 0, 5, and 10.
2. Substitute each x-value into the equation to find the corresponding y-values. For example:
- For x = -10, y = (1/2)(-10) = -5
- For x = -5, y = (1/2)(-5) = -2.5
- For x = 0, y = (1/2)(0) = 0
- For x = 5, y = (1/2)(5) = 2.5
- For x = 10, y = (1/2)(10) = 5
3. Plot the points (x, y) on a graph. In this case, the points would be:
(-10, -5), (-5, -2.5), (0, 0), (5, 2.5), (10, 5)
4. Connect the plotted points with a straight line. The line should pass through all the points.
The resulting graph is a straight line with a slope of 1/2, passing through the origin (0, 0), and extending infinitely in both directions.
Here is a rough sketch of the graph:
```
|
6 | .
| .
5 | .
| .
4 | .
|
3 | .
|
2 | .
|
1 | .
|
0 -----------------------
-10 -5 0 5 10
```
Note: The above graph is a visual representation and may not be to scale. The line should pass through the plotted points accurately.
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what is 78 x 9679-L?
lego yoda is better than baby yoda
Answer: 754962 -L
If it's not, you can let me know so i could try it out again!
Step-by-step explanation:
Answer:
but but baby yoda
Step-by-step explanation:
I rest my case
what is the reciprocal of 1 3/8
Answer:
0.72727272727
Step-by-step explanation:
Answer:
\(\frac{8}{11}\)
Step-by-step explanation:
You need to make it into an improper fraction first. Multiply 1 times 8 and add the three to get the numerator, which is 11. The improper fraction is \(\frac{11}{8}\). To find the reciprocal, all you need to do is flip it. This gives you \(\frac{8}{11}\).
. (5 pts) Find the arc length of the curve r = 2 cos 0,0 ≤ 0< value. 2 dr S= S²√ (16) ² a p² + do Give the exact
The exact arc length of the curve r = 2cosθ, where 0 ≤ θ < 2π, is 4π units.
To find the arc length of the curve represented by the polar equation r = 2cosθ, where 0 ≤ θ < 2π, we can use the arc length formula for polar curves:
S = ∫[θ1 to θ2] √(r^2 + (dr/dθ)^2) dθ.
In this case, r = 2cosθ and dr/dθ = -2sinθ. Let's calculate the arc length:
S = ∫[θ1 to θ2] √(r^2 + (dr/dθ)^2) dθ
= ∫[θ1 to θ2] √((2cosθ)^2 + (-2sinθ)^2) dθ
= ∫[θ1 to θ2] √(4cos^2θ + 4sin^2θ) dθ
= ∫[θ1 to θ2] √(4(cos^2θ + sin^2θ)) dθ
= ∫[θ1 to θ2] √(4) dθ
= ∫[θ1 to θ2] 2 dθ
= 2 ∫[θ1 to θ2] dθ
= 2(θ2 - θ1).
The arc length S is equal to 2 times the difference between the two angles θ2 and θ1.
Since the given range is 0 ≤ θ < 2π, we have θ1 = 0 and θ2 = 2π.
S = 2(2π - 0)
= 4π.
Therefore, the exact arc length of the curve r = 2cosθ, where 0 ≤ θ < 2π, is 4π units.
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High clouds are those that form at altitudes of at least:
65,617 ft (20,000 m).
32,800 ft (10,000 m).
6500 ft (2000 m).
20,000 ft (6000 m).
High clouds are those that form at altitudes of at least 20,000 ft (6000 m).
At high altitudes, ice crystals form due to which cloud formation occurs. Cirrus, cirrostratus, and cirrocumulus clouds are a few types of clouds. Cirrostratus clouds frequently form a thin, white layer that resembles a veil and covers the entire sky. Small, spherical, white clouds called cirrocumulus develop in long rows. Because they can provide information about changes in atmospheric pressure, temperature, and moisture levels in the upper atmosphere, these high clouds are crucial for meteorologists to investigate.
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A store owner wants to know if he sells more water or sports drinks. He records the number of sales for both products. What is the data gathering technique used?
A observational study
B voluntary survey
C randomized survey
D experiment
its A ma am
i know this because i did it
Given that y = sin (x) is a solution of y^(4) + 2y"' + 11y" +2y' + 10y = 0 Find the general solution without the use of a calculator or a computer.
The required general solution for the given equation is
y(x) = \(e^{(-x/2)(C1 sin(\sqrt{(7/2)x} )}\) + C2 cos(√(7/2)x)) + \(e^{(-x/2)(C3 sin(\sqrt{(21/2)x }\)+ C4 cos(√(21/2)x))
here
C1, C2, C3 and C4 = constants determined by initial conditions.
It is given to us
y = sin(x) is a solution of y⁴ + 2y"' + 11y" +2y' + 10y = 0, by the method of undetermined coefficient we can calculate the general solution.
we evaluate the differential equation by considering that
y = \(e\sqrt{(rx)}\). We get r⁴ + 2r³ + 11r² + 2r + 10 = 0.
After factorizing the equation as
(r² + r + 2)(r² + r + 5) = 0.
The evaluated roots of this equation are
r = -1/2 ± i√(7/2) and r = -1/2 ± i√(21/2).
We know that sin(x) is a solution of the differential equation,
Therefore, y = A sin(x) + B cos(x) is also a solution.
Now implementing the roots that we have derived, the general solution is
y(x) = \(e ^{(-x/2)(C1 sin(\sqrt{(7/2)x\)+ C2 cos(√(7/2)x)) + \(e ^{(-x/2)(C3 sin\sqrt{((21/2)x)} }\)+ C4 cos(√(21/2)x))
The required general solution for the given equation is
y(x) = \(e^{(-x/2)(C1 sin(\sqrt{(7/2)x} )}\) + C2 cos(√(7/2)x)) + \(e^{(-x/2)(C3 sin(\sqrt{(21/2)x }\)+ C4 cos(√(21/2)x))
here
C1, C2, C3 and C4 = constants determined by initial conditions.
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Find the area of a triangle with base of 10 inches and a height of 5 inches
A . 100 square inches
B . 50 square inches
C . 25 square inches
D . 12.5 square inches
Answer:
C . 25 square inches
Explanation:
What two numbers multiply to -65 and add to 8
Answer:
-65
Step-by-step explanation:
i did it and looked it up
Find MN such that LN = 5.7.
Line LN is compounded by segments LM and MN. The lenght of segment LM is fixed (1.3), and we need to find how long should segment MN be so the whole segment LN has a length of 5.7.
The length of segment LN is the sum of lengths of segments LM and MN. Writing it as an equation:
\(LN=LM+MN\)We an replace the values we know in the equation:
\(5.7=1.3+MN\)Now, we just need to solve for MN:
\(\begin{gathered} MN=5.7-1.3 \\ \\ MN=4.4 \end{gathered}\)Segment MN should have a length of 4.4 for the segment LN to be 5.7. Correct answer is option D.
A. Name the smallest angle and the largest angle of the following triangles: F 6 S 5 1. A J 5.03 7 5 G B H 5.1 2. D 4 3 E
Answer:
(smallest, largest) = (B, C), (D, E), (G, J)
Step-by-step explanation:
Side lengths of a triangle are proportional to the sine of the opposite angle. In a triangle, a larger angle will always have a larger sine. That means the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.
__
ΔABCThe shortest side is 5 units, opposite angle B. The longest side is 7 units, opposite angle C.
smallest angle: Blargest angle: CΔDEFThe shortest side is 3 units, opposite angle D. The longest side is 5 units, opposite angle E.
smallest angle: Dlargest angle: EΔGHJThe shortest side is 5 units, opposite angle G. The longest side is 5.1 units, opposite angle J.
smallest angle: Glargest angle: J_____
Additional comment
Angles in a triangle may exceed 90°. The sine function actually is decreasing for angles above 90°. However, since the total of angles of a triangle must be exactly 180°, there cannot be two angles in a triangle such that the smaller angle has the larger sine.
Which one of the following equations represents a circle with its center of origin?
A) x^2 + y^2 = 5
B) x^2 + y = 25
C) x + y = 5
D) x/2 + y/2 = 25
Answer:
A) x² + y² = 5Step-by-step explanation:
The equation of the circle:
(x - h)² + (y - k)² = r²The center is (h, k)
Wen the center is the origin we have, h = 0, k = 0:
x² + y² = r²The only equation in same format is the first one
Samantha and Jerrod were at the park, sitting on a park bench together. They decided to look at a fountain on their way home. Jerrod got distracted, and went to go look at a flower on the way from the park bench to the fountain. Samantha went directly to the fountain. How much further did Jerrod walk than Samantha did? (Assume the locations form a right triangle) 17 yards 7 yards 8 yards
Answer:
Step-by-step explanation:
hdhf
Compare. Use <, >, and =.
[-8_______7]
pls help urgent
Answer:
-8<7
Step-by-step explanation:
if you did at the number line you'll see that the -8 is at the left
and as you go the left number decreases
as you go to the right number increases
"If the true proportion of registered Democrats at a large state university is 30 percent, a given random sample is likely to be somewhat close to 30 percent. How likely and how close can both be calculated from the size of the sample"
In other words, the smaller the group, the greater the variance (+/-30%) we should expect from the 30% Democrats statistic. The larger the group, the lower the variance. Considering our attendance experiment and looking at the chart on page 374, if we're sampling a group of 10 students, we can expect an error margin of +/- 30%, but if we’re looking at a group of 50 students, the error margin decreases to +/- 14%. Applying this to our experiment, can we be confident in the results we obtain from each group/category, especially if our class is only, say, 30 students total?
As the sample size is smaller, the error margin is expected to be higher. This means that the results may not accurately represent the true proportion of Democrats at the university.
If the true proportion of registered Democrats at a large state university is 30 percent, a given random sample is likely to be somewhat close to 30 percent. The smaller the sample size, the greater the variance we should expect from the 30 percent Democrats statistic. This is because small samples can be highly influenced by chance and random variation.
On the other hand, larger samples tend to be more representative of the population, and therefore, have lower variance. Therefore, if we're sampling a group of 10 students, we can expect an error margin of +/- 30%, but if we’re looking at a group of 50 students, the error margin decreases to +/- 14%.
Applying this to the experiment, it can be inferred that the results obtained from each group/category may not be reliable because the class has only 30 students in total.
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Decide if the statement is giving you the x or y value of the function
Answer: 1a. f(2) is an x-value
1b. f(x) = 4 is a y-value
1c. f(-10) is an x-value
1d. m(x) = 64 is a y-value
2. f(4) = 17
3. x = 39
Step-by-step explanation: In general, if there is an equal sign, the output f(x) is a y-value. if the expression is f(#) with a number in the parentheses, that is the value to insert for x.
2.) f(x) = 2x + 9
f(4) = 2(4) + 9
f(4) = 8 + 9
f(4) = 17
3. f(x) = 5x -3
192 = 5x -3
192 + 3 = 5x
195 = 5x
39 = x
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
Answer:
0.9962
Step-by-step explanation:
The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.
Suppose X is a random variable that follows a normal distribution:
Then;
\(X \sim N ( \mu = 20.66, \sigma = 2)\)
\(P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)\)
\(P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)\)
\(P(X< 26) = P \bigg ( Z < 2.67\bigg)\)
From the z tables;
P(X< 26) = 0.9962
Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.
Answer:
0.9962
Step-by-step explanation:
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
What proportion of average city temperatures are lower than that of Singapore?
Solution:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
\(z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\)
Given that μ = 20.66, σ = $2
For the average temperature of Singapore of 26°, the z score is:
\(z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67\)
From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962
A swim instructor would like to test the effect of a new swim technique versus the standard technique for a group of 25 competitive swimmers.
The swim instructor divides the students by class (junior or senior), and then randomly allocates half of the 14 juniors and 5 of the 11 seniors to receive instruction on the new technique.
During swim practice, the instructor times the juniors as they race against each other to see if those who learned the new technique outperform their peers. The instructor does the same for the seniors.
At the end of practice, the instructor compares the average swim time for both juniors and seniors among those who did and did not use the new technique.
What type of experimental design did the instructor use?
A) matched pairs experimental design
B) completely randomized experimental design
C) randomized block experimental design
D) none (observational study only)
C) randomized block experimental design.
What type of experimental design did the instructor use?The swim instructor used a randomized block experimental design for their experiment.This type of experimental design involves dividing the participants into groups (in this case, juniors and seniors) and then randomly allocating half of each group to receive instruction on the new technique.This helps to control for any potential confounding variables, such as age, that could affect the results of the experiment.By comparing the average swim time for both juniors and seniors among those who did and did not use the new technique, the instructor can determine if the new technique has an effect on swim performance.This type of experimental design is often used when the experimenter wants to compare the effects of a treatment or intervention between two or more groups with similar characteristics.To learn more about experimental design refer to:
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Answer:c
Step-by-step explanation:
What is a acute triangle and what do a acute triangle look like?
Answer:
An acute triangle is a triangle with three acute angles. An obtuse triangle is a triangle with one obtuse angle and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry
Given the Square JKLM, if the area of JKLM is 64 sq in.., what is the length of the diagonal KM?
The length of diagonal KM of square is 11.31 inch.
What is square?
A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can also be explained as a rectangle with two adjacent sides that are of equal length.
A square has four equal sides, four vertices, and is a closed, two-dimensional shape. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.
Given:
The Square JKLM, the area of JKLM is 64 sq in.
We have to find the length of diagonal KM.
Since,
Area of square = (side)^2
64 = (side)^2
Side = 8
Length of each side of square is 8 in.
By using the Pythagorean theorem,
(KL)^2 + (LM)^2 = (KM)^2
8^2 + 8^2 = (KM)^2
64 + 64 = (KM)^2
128 = (KM)^2
KM = 11.31
Hence, the length of diagonal KM of square is 11.31 inch.
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Nina harvested 8 buckets of cherries from the farm. Then, she picked 4 times as many buckets of strawberries as cherries. She sold 2 buckets of strawberries. How many buckets of strawberries does Nina have?
Answer:
30 buckets
Step-by-step explanation:
8 times* 4 - 2 = 30
pls help me with my work
Answer:
I think it is c because the nth term is mostly 2n and 2n - 9 would use one if the terms.
Step-by-step explanation:
One number is six more than the other number . thesum of their squares is 90
Answer:
the answer is 3 and 9. 9 is 6 greater than 3 and 9 squared and 3 squared added up give you 90.
in 250 explain the power of substitutes from porters 5
forces
The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.
The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.
The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.
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Find the missing length on the side of the scalene triangle below.
Answer:
12
Step-by-step explanation:
please help me!!!!?!?!??!?!
Answer:
Step-by-step explanation: