Answer:
it would be x = 9
Step-by-step explanation:
An apartment complex rents an average of 2.3 new units per week. If the number of apartments rented each week has a Polsson distribution, then the probability of renting exactly three apartments in a week is ....
The probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.
If the average number of units rented per week is 2.3 and the distribution is Poisson, then the parameter lambda is also equal to 2.3.
The probability of renting exactly three apartments in a week is given by the Poisson probability function:
\(P(X = 3) = (e^(-lambda) * lambda^x) / x!\)
Substituting the values, we get:
\(P(X = 3) = (e^(-2.3) * 2.3^3) / 3!\)
P(X = 3) = (0.09963 * 12.167) / 6
P(X = 3) = 0.2018
Therefore, the probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.
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The following table gives information on GPAs and starting salaries (rounded to the nearest thousand dollars) of seven recent col- lege graduates.
GPA 2.90 3.81 3.20 2.42 3.94 2.05 2.25
Starting salary 48 53 50 37 65 32 37
Construct a 98% confidence interval for the mean starting salary of recent college graduates with a GPA of 3.15. Construct a 98% predic- tion interval for the starting salary of a randomly selected recent college graduate with a GPA of 3.15.
We can be 98% confident that the true mean starting salary of recent college graduates with a GPA of 3.15 lies between $36,540 and $55,740.
We can be 98% confident that the starting salary of a randomly selected recent college graduate with a GPA of 3.15 lies between -$32,080 and $124,360.
First, we need to calculate the sample mean, which is the average starting salary of the seven college graduates given:
sample mean = (48 + 53 + 50 + 37 + 65 + 32 + 37) / 7 = 46.14 thousand dollars
Next, we need to calculate the standard error. The sample standard deviation is calculated as follows:
s = √[((48-46.14)² + (53-46.14)² + (50-46.14)² + (37-46.14)² + (65-46.14)² + (32-46.14)² + (37-46.14)²) / 6] = 11.36 thousand dollars
The square root of the sample size is calculated as:
√(7) = 2.65
So, the standard error is:
standard error = 11.36 / 2.65 = 4.28 thousand dollars
Finally, we need to find the t-value for a 98% confidence level and 6 degrees of freedom (sample size - 1). We can use a t-table or a calculator to find this value, which is approximately 2.447.
Now we can plug in all the values into the formula to get the confidence interval:
Confidence interval = 46.14 ± 2.447 * 4.28 = (36.54, 55.74)
The t-value and standard error are calculated in the same way as in the confidence interval, but we also need to calculate the sample standard deviation, which is the square root of the variance:
variance = [(48-46.14)² + (53-46.14)² + (50-46.14)² + (37-46.14)² + (65-46.14)² + (32-46.14)² + (37-46.14)²] / 6
= 1315.43 thousand dollars squared
sample standard deviation = √(variance) = 36.26 thousand dollars
Now we can plug in all the values into the formula to get the prediction interval:
Prediction interval = 46.14 ± 2.447 * 4.28 ± 2.447 * 36.26 = (-32.08, 124.36)
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if a certain star emits radiation that has a peak wavelength of 670 nm, the temperature of the star is
The temperature of the star emitting radiation with a peak wavelength of 670 nm is approximately 4325.37 K.
To get the temperature of a star with a peak wavelength of 670 nm, you can use Wien's Law, which states: T = b / λ_max where T is the temperature of the star, b is Wien's constant (approximately 2.898 x 10^6 nm K), and λ_max is the peak wavelength.
In this case, the peak wavelength (λ_max) is 670 nm. To calculate the temperature (T) of the star, follow these steps:
Step:1. Plug in the values into Wien's Law equation: T = (2.898 x 10^6 nm K) / (670 nm)
Step:2. Divide the constant by the peak wavelength: T ≈ (2.898 x 10^6) / 670
Step:3. Perform the calculation: T ≈ 4325.37 K
So, the temperature of the star emitting radiation with a peak wavelength of 670 nm is approximately 4325.37 K.
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The temperature of the star emitting radiation with a peak wavelength of 670 nm is approximately 4325.37 K.
To get the temperature of a star with a peak wavelength of 670 nm, you can use Wien's Law, which states: T = b / λ_max where T is the temperature of the star, b is Wien's constant (approximately 2.898 x 10^6 nm K), and λ_max is the peak wavelength.
In this case, the peak wavelength (λ_max) is 670 nm. To calculate the temperature (T) of the star, follow these steps:
Step:1. Plug in the values into Wien's Law equation: T = (2.898 x 10^6 nm K) / (670 nm)
Step:2. Divide the constant by the peak wavelength: T ≈ (2.898 x 10^6) / 670
Step:3. Perform the calculation: T ≈ 4325.37 K
So, the temperature of the star emitting radiation with a peak wavelength of 670 nm is approximately 4325.37 K.
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if d is a distance and t is time, what must be the dimensions of the parameters ,,,, and a in the flowing equations? a) d = at b) d = Bt? c) d=xcos(8), d) d = Ae' x cos
The dimensions of x must be dimensionless and the dimensions of cos must be dimensionless in order for the dimensions of both sides of the equation to be equal.
d = at the dimensions of d are distance and the dimensions of t are time. Therefore, the dimensions of a must be distance/time in order for the dimensions of both sides of the equation to be equal.
d = Bt the dimensions of d are distance and the dimensions of t are time. Therefore, the dimensions of B must be distance/time in order for the dimensions of both sides of the equation to be equal.
d = xcos(8) the dimensions of d are distance and the dimensions of x are distance. Therefore, the dimensions of cos(8) must be dimensionless in order for the dimensions of both sides of the equation to be equal.
d = Ae' x cos the dimensions of d are distance, the dimensions of A are distance, and the dimensions of e' are dimensionless. Therefore, the dimensions of x must be dimensionless and the dimensions of cos must be dimensionless in order for the dimensions of both sides of the equation to be equal.
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He has hired you as their new production manager. Your job is to look at five different solid figures and determine which would best suit the needs of the company for packaging the candy. You will choose one of the five options shown below. The candy is animal gummies. The package must hold between 60 and 70 cubic inches (roughly 4-5 cups of space). The cost of the plastic for the packaging is $0.003 per square inch
Figure BCDE was transformed using the composition rx-axis ◦ T2,2. If point B on the pre-image lies at (3, 4), what are the coordinates of B'' on the final image?
(5, 6)
(5, –6)
(1, 2)
(1, –2)
The transformation can be defined as the introduction of a new set of mathematical coordinates. The correct option is B.
What is transformation?The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
Given Figure BCDE, which is transformed using the composition rx-axis ◦ T2,2. Also, the coordinates of point B on the pre-image lies at (3, 4). Therefore, the coordinates of B'' on the final image will be,
rx-axis ◦ T2,2 (3,4)
= rx-axis ( T2,2 (3,4) )
= rx-axis ( 5,6 )
= (5, -6)
Hence, the correct option is B.
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PLSSS HELLLLPPPP. MEEee
Answer:
B
Step-by-step explanation:
Since here, 100x = 1, and since we already have one, we can leave that aside. It would never be d because that is way larger. The second square is 6/100 and since earlier we said 100x = 1, we would have to make an equation. Your answer is B
Simplify
Rewrite the expression in the form 9^n
9•9^2= ___
Answer:
9^3
Step-by-step explanation:
Since you are given 9^2 already and have to multiply that result by yet another nine, then your problem is 9^3
Hope this helps!
How can you do mental math and solve 2.22 divided by 2 without writing anything down? explain.
Answer:
1.11
Step-by-step explanation:
Use the distributive property to fill in the blanks below.
4x (7-3) = (4x - (4 ×D)
The values of x and D are, x = 7 and D = 3
What is distributive property?
This property states that multiplying the total of two or more addends by a number will produce the same result as multiplying each addend separately by the number and then adding the products collectively.
Given:
A x (7 - 3) = Ax - (4 x D)
We have to find the values of x and D using the distributive property.
Since, the distributive property is,
A(B + C) = AB + AC
Here,
4 x ( 7 - 3) = (4 x 7) - (4 x 3)
Hence, the values of x and D are, x = 7 and D = 3.
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What might be 3 reasons that a grocery store would have higher prices on items than another store
Answer:
Different Distributor Pricing. Supermarkets pay different prices for the same product through distributors.The difference in Quality.Different Supplier Deals.In the picture below, what is the value of x?
с
D
Х
9
E
10
115
А
В
8
10
ОООО
с
14
d
5
Answer: 9
Step-by-step explanation:Because you have to loom at the answer
CAN SOMEONE PLEASE HELP ME (THIS IS DUE TODAY)
A ballroom has a square dance floor. The area of the floor is 400 square feet.
If the length of each side of the square increased by one foot, would its area be a rational number?
Choose each statement that is true about the new dance floor.
A. The area of the floor would be a rational number.
B. The area of the floor would be an irrational number.
C. Each side length would be a perfect square.
D.The area of the floor would be a perfect square.
E.The area of the floor would be a nonterminating, nonrepeating decimal
Answer:
It’s a: The area of the floor would be a rational number
Step-by-step explanation:
What is the value formula?
The value formula is: Value = Place Value × Face Value
We know that the value in mathematics is nothing but the worth of each digit depending on where it lies in the number.
We calculate the value of number by multiplying the place value and face value of the digit.
The value formula is:
Value = Place Value × Face Value
Place value is the value of the column in which the number is. Each column in a number holds a different place value.
For exa., consider a number 456. Here, the place value of the digit 5 is tens and the place value of 4 is hundreds.
The face value of any digit is the same digit.
For a number 120 , the face value of 1 is 1, face value of 2 is 2.
Therefore, the formula for the Value = Place Value × Face Value
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2837.12 X 1823.11 - 231.51
Answer:
im pretty sure it is 5172150.3332
i hope some one else says its right
Step-by-step explanation:
Answer:
the answer is indeed 5172150.3
Step-by-step explanation:
If 12 oranges cost $4.80, what would be the cost for 5 oranges
Answer: 24
Step-by-step explanation:
Because if you do 4.80 times 5 you’ll get 24 because each orange cost $4.80
Answer:
the cost of 5 oranges would be $2.00
Step-by-step explanation:
To solve this we need to find the unit rate and when we do this we can solve this problem. To find that we need to divide 4.80 by 12 once we do that we just have to multiply that number by 5 to get our answer, when you divide you'll get 0.4 and then multiply that by 5 and you'll get $2.00.
due today pls help thank youuuu
Check the picture below.
The purpose of the critical value is to ........ divide the region into rejection and non-rejection regions divide the region into rejection and non-rejection regions determine which tailed test to use determine which tailed test to use make the problem harder to work make the problem harder to work determine the level of significance
The critical value determines the boundary for rejecting or not rejecting the null hypothesis in a hypothesis test.
The purpose of the critical value is to divide the region into rejection and non-rejection regions. It helps determine the boundaries for rejecting or not rejecting the null hypothesis in a hypothesis test.
The critical value is based on the chosen level of significance and the distribution of the test statistic, such as the t-distribution or the standard normal distribution.
By comparing the test statistic to the critical value, we can make decisions regarding the acceptance or rejection of the null hypothesis.
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Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of
half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
Answer:
Let X be the number of apples and Y be the number of oranges.
Y = 2X+2 (Y - 2X = 2)
0.5Y - 0.5X = 4 (multiply by -2)
-Y + X = - 8
By adding both equations
-X = - 6 then X = 6
Step-by-step explanation:
Tobin and Espi are pulling their own duct-tape boats along the edge of the pond. Tobin pulls at 25∘, and does 1900 J of work, while Espi pulls at 45∘, and does 1100 J of work. Which one pulls with the most force?
The ratio of the forces is less than 1, we can conclude that Tobin exerts a greater force than Espi. Therefore, Tobin pulls with the most force between the two individuals.
To determine which individual pulls with the most force, we need to compare the magnitudes of the forces exerted by Tobin and Espi. The work done by each person is related to the magnitude of the force applied and the displacement of the boat.
The work done by a force can be calculated using the formula:
Work = Force * Displacement * cos(θ)
Where:
Work is the work done (given as 1900 J for Tobin and 1100 J for Espi)
Force is the magnitude of the force applied
Displacement is the distance the boat is pulled
θ is the angle between the force and the direction of displacement
Let's denote the force exerted by Tobin as F_Tobin and the force exerted by Espi as F_Espi. We can set up the following equations based on the given information:
1900 = F_Tobin * Displacement * cos(25°) (Equation 1)
1100 = F_Espi * Displacement * cos(45°) (Equation 2)
To compare the forces, we can divide Equation 2 by Equation 1:
1100 / 1900 = (F_Espi * Displacement * cos(45°)) / (F_Tobin * Displacement * cos(25°))
Simplifying the equation:
0.5789 = (F_Espi * cos(45°)) / (F_Tobin * cos(25°))
The displacements cancel out, and we can evaluate the cosine values:
0.5789 = (F_Espi * (√2/2)) / (F_Tobin * (√3/2))
Simplifying further:
0.5789 = (F_Espi * √2) / (F_Tobin * √3)
To find the ratio of the forces, we can rearrange the equation:
(F_Espi / F_Tobin) = (0.5789 * √3) / √2
Evaluating the right side of the equation gives approximately 0.8899.
Since the ratio of the forces is less than 1, we can conclude that Tobin exerts a greater force than Espi. Therefore, Tobin pulls with the most force between the two individuals.
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At a holiday camp, the ratio of boys to girls is 2/3 The ratio of girls to adults is 2/5 . Work out the ratio of children to adults at the holiday camp. Give your answer in the simplest form.
5 lots of 3:2 →5×(3:2)=(5×3):(5×2)=15:10
HOPE THIS HELPS
CAN U PLEASE GIVE ME BRAINLIEST
You and three friends went shopping. All of you
bought the same shirt and pants except you did not
buy the pants for $12. The total was $92. Write an
equation to determine how much each of your
friends paid for their outfit.
I have till 2 and I need help
Answer:
(12 * 4) + 4x / 4
Step-by-step explanation:
.Which of the following refers to rules of thumb that simplify the process of making decisions?
A. Dialectical inquiry
B. Biases
C. Heuristics
D. Creativity
E. Practical alternatives
Heuristics refers to rules of thumb that simplify the decision-making process. Heuristics are mental shortcuts that help individuals make decisions quickly, often relying on previous experience or intuition rather than a more systematic approach.
While heuristics can be useful, they can also lead to biases and errors in judgment if they are applied too broadly or without careful consideration. It is important to be aware of these heuristics and how they can affect decision-making processes, especially in complex or high-stakes situations where careful consideration is necessary.
The answer is C.
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determine the relative frequency for the 55 - 60 class. be sure to record your answer as a decimal rounded to three places.
The relative frequency for the 55 - 60 class is equal to 0.022.
What is a class width?In a frequency distribution table, a class width simply refers to the difference between the maximum) and minimum boundaries of any class in a data set.
This ultimately implies that, all classes must all have the same width in a frequency distribution table.
First of all, we would determine the total frequency as follows:
Total frequency = 8 + 10 + 6 + 7 + 15
Total frequency = 46.
Mathematically, the relative frequency of a class width can be calculated by using this formula:
Relative frequency = class frequency/total frequency
Relative frequency = 1/46
Relative frequency = 0.022
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Liam and his brother ran a race. Liam reached the finish line in 78.6 seconds and his brother reached the finish line 6.7 seconds later. How long did it take Liam's brother to run the race?
Answer:
85.3 secs
Step-by-step explanation:
Liam reached first.
his bro = 78.6+6.7=85.3 secs
Answer:
answer is 4.3
Step-by-step explanation:
i only have answer
A triangle has one 30° angle, an unknown angle, and an angle with
a measure that is twice the measure of the unknown angle. Find the
measures of the triangle's unknown angles and explain how you
found
the answer
Answer:
50 and 100
Step-by-step explanation:
We know a triangle's interior angles add up to 10 and 30+x+2x=180. We can solv from there.
30+x+2x=180Add like terms, 30+3x=180Subtract. 3x=150Divide, x=50Check your work.
30+1(50)+2(50)=180Multiply, 30+50+100=180Add, 180=180The two parallelograms in the sketch below are congruent. Which sequence exhibits their congruence?
110
- 101.8
-6
10
A reflection across the x-axis followed by a translation 10 units left
A reflection across the x-axis followed by a translation 10 units up
A reflection across the y.axis followed by a translation 10 units right
A reflection across the y-axis followed by a translation 10 units left
Answer: A
Step-by-step explanation
a shop sells 3 types of boots ( football , rugby and hiking) sales are usually in the ratio of 6 : 2 : 3 last month , 24 pairs of boots were sold . How many boots altogether last moth
Answer:
44
Step-by-step explanation:
First, let's sum up the ratio.
Sum the ratios = 6 + 2 + 3 = 11
We can make y the total number of boots sold together last month
If 24 pairs of boots were sold, then the equation would be
6/11 × y = 24
Cross multiply
6 × y = 24 × 11
6y = 264
y = 44
Therefore, total number of boots sold altogether last month were 44
Select the correct answer from each drop-down menu. Graph of proportional relationships. X-axis labeled Number of Plants. Y-axis labeled Number of Roses. Line begins from origin and goes through plotted closed points at (1, 5), (2, 10), (3, 15), (4, 20). According to the graph, the relationship between the number of rose plants and the number of roses is . Reset Next
The relationship between the number of plants and the number of roses is a linear relationship.
What are the characteristics of a linear relationship?The given points on the graph are;
(1, 5), (2, 10), (3, 15), (4, 20)
The difference between consecutive x-values is 1, which is constant;
2 - 1 = 3 - 2 = 4 - 3 = 1
Similarly, the difference between consecutive y-values is also a constant, 5;
10 - 5 = 15 - 10 = 20 - 15 = 1
The x-values are the x-coordinates of the points found by using the numbers along the X-axis, while the y-values are the y-coordinates of the points, corresponding to the numbers located along the y-axis
Given that the differences between consecutive terms of the x and y-values are constant, therefore;
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Answer:
See image
Step-by-step explanation:
Plato
evaluate the following using distributive property
(-15/4 x 3/7 + -7/5 + (-15/4 x -12/5)
Answer:
5.99285714286
Step-by-step explanation:
5.99285714286