Trevor bought stamps at the post office. Some of the stamps had a snowflake design, some had a truck design, and some had a rose design. Trevor bought 3 snowflake stamps. He bought 7 more truck sjamps than snowflake stamps, and 4 fewer rose stamps than truck stamps. How many stamps did Trevor buy in all?​

Answer:

7. 8 I think (typing more for the limit)

Answer:

7.8

Step-by-step explanation:

The confidence interval for the population mean is based on the approximately normal distribution

Approximately normal distribution: A distribution is approximately Normal when the Normal distribution can be used as an approximate distribution. This is common when the number of samples or parts making up a distribution grows; for example, if you have 100 coin tosses the resulting Binomial distribution is, for most purposes, approximately Normal

When the population standard deviation is known,

The confidence interval for a population mean with a known standard deviation is based on the fact that the sampling distribution of the sample means follow an approximately normal distribution.

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Answer:

1.23

Step-by-step explanation: since i helped can i have brainlist please :D

To produce 1000 tires in 5 days, with each tire taking 2 hours to produce, a total of 25 operators are needed.

To determine the number of operators needed, we need to consider the production rate and the time available.

The production rate can be calculated by dividing the total number of tires by the total time required to produce them. In this case, we want to produce 1000 tires in 5 days, which is equivalent to 5 days * 8 hours/day = 40 hours.

Since it takes 2 hours to produce a tire, the production rate is 1 tire every 2 hours or 1/2 tire per hour.

To produce 1000 tires, we need 1000 tires / (1/2 tire per hour) = 2000 hours of work.

Now, we can calculate the number of operators needed by dividing the total work hours by the number of hours each operator can work in a day. Assuming each operator works for 8 hours per day, the number of operators needed is 2000 hours / 8 hours per operator = 250 operators.

Therefore, to produce 1000 tires in 5 days, a total of 25 operators are needed.

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Answer:

The area of the parallelogram formed by the points is approximately 37.73 square units.

Step-by-step explanation:

To verify if the points A(2, -3, 1), B(6, 5, -1), C(7, 2, 2), and D(3, -6, 4) form a parallelogram, we can check if the opposite sides of the quadrilateral are parallel.

Let's consider the vectors formed by the points:

Vector AB = B - A = (6, 5, -1) - (2, -3, 1) = (4, 8, -2)

Vector CD = D - C = (3, -6, 4) - (7, 2, 2) = (-4, -8, 2)

Vector BC = C - B = (7, 2, 2) - (6, 5, -1) = (1, -3, 3)

Vector AD = D - A = (3, -6, 4) - (2, -3, 1) = (1, -3, 3)

If the opposite sides are parallel, the vectors AB and CD should be parallel, and the vectors BC and AD should also be parallel.

Let's calculate the cross product of AB and CD:

AB x CD = (4, 8, -2) x (-4, -8, 2)

        = (-16, -8, -64) - (-4, 8, -32)

        = (-12, -16, -32)

The cross product of BC and AD:

BC x AD = (1, -3, 3) x (1, -3, 3)

        = (0, 0, 0)

Since the cross product BC x AD is zero, it means that BC and AD are parallel.

Therefore, the points A(2, -3, 1), B(6, 5, -1), C(7, 2, 2), and D(3, -6, 4) form a parallelogram.

To find the area of the parallelogram, we can calculate the magnitude of the cross product of AB and CD:

Area = |AB x CD| = |(-12, -16, -32)| = √((-12)^2 + (-16)^2 + (-32)^2) = √(144 + 256 + 1024) = √1424 ≈ 37.73

Therefore, the area of the parallelogram formed by the points is approximately 37.73 square units.

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The results showed that 70 out of 1000 adults in Alaska were unemployed, while only 30 out of 1000 adults in Minnesota were unemployed.

An economist was comparing unemployment rates between two states, Alaska and Minnesota. The economist took a random sample of 1000 adults in each state to gather the unemployment data. The results showed that 70 out of 1000 adults in Alaska were unemployed, while only 30 out of 1000 adults in Minnesota were unemployed.

These results suggest that Alaska has a higher unemployment rate than Minnesota. This could be due to a variety of factors, such as differences in job availability, education levels, and industry makeup. However, it's important to note that the sample size is relatively small, and the results may not be representative of the entire population of each state.

To get a more accurate picture of the unemployment rates in each state, a larger sample size or more comprehensive data collection methods may be necessary. Nevertheless, these initial findings provide some insights into the current state of employment in Alaska and Minnesota.

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The interquartile range (IQR) formula is: IQR = Q3 - Q1, where Q1 is the first quartile and Q3 is the third quartile of a dataset.

The interquartile range (IQR) is a measure of variability in a dataset that represents the range between the first quartile (Q1) and the third quartile (Q3). The first quartile (Q1) is the value that separates the lowest 25% of the data from the rest of the dataset, and the third quartile (Q3) is the value that separates the highest 25% of the data from the rest of the dataset.

Therefore, the IQR formula is simply the difference between the third and first quartiles: IQR = Q3 - Q1. The IQR is commonly used to identify outliers in a dataset, where any data points that fall outside of the range Q1 - 1.5IQR to Q3 + 1.5IQR are considered outliers.

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The test statistic z will be equal to -0.946 and it shows that there is no significant difference in the proportion of rehires between full time and part time.

Given sample sizes of 833 and 386 and result of samples 434 and 189.

\(n_{1} =833, n_{2}=386\)

Proportion  of full time=434/833=0.52

Proportion of part time=189/386=0.49.

Difference in proportion =0.52-0.49

\(H_{0}:\)TTF- i∈ rho=0

\(H_{1}:\) TTF+i∈ rho≠0.

Mean of difference=0.03

Z=(X-μ)/σ

σ=\(\sqrt{0.4517/447}\)

=0.0317

σ=0.0317

z=(0-0.03)/0.0317

=-0.03/0.0317

=-0.317

p value will be =0.1736.

Because p value is greater than 0.01 so we will accept the null hypothesis which shows that there is no significant difference in the proportions.

Hence there is no significant difference in the proportion of rehires between full time and part time.

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Answer:

1. 3x + 14

2. x^2 - 4x - 12

Step-by-step explanation:

just FOIL it out

Answer:

the first one is 3x+14 and the second one is

\( {x}^{2} - 4x - 12\)

I hope that helped(: and btww do you mind helping me as wellll I got homework that's due tomorrow

As per the concept of unitary method, the another way to express 8 feet is 2 ²/₃ yards.

In math, unitary method is known as a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

Here we have given that a clothesline rope is 8 feet long.

Now we need to find another way to express 8 feet.

We know that the formula to convert the measurement it to divide the length by the conversion ratio.

As we know that one yard is equal to 3 feet, then we can use this simple formula to convert is written as

=> yards = feet ÷ 3

Here the equivalent yard measurement is written as,

=> yards = 8 ÷ 3

Then we have to convert the improper fraction into mixed fraction form, then we get,

=> 2 ²/₃ yards.

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There is a 30.85% chance that someone will have to wait longer than 6 minutes.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

z = (raw score - mean) / standard deviation

So,

We can write,

Mean of 6 minutes and variance = 1 minutes, hence:

Standard deviation = √variance = √1 = 1 minutes

For > 6 minutes:

z = (6 - 5)/2 = 1/2=0.5

P(z > 0.5) = 1 - P(z < 0.5)

P(z > 0.5) = 1 - 0.6915

P(z > 0.5) = 0.3085

Therefore,

There is a 30.85% chance that someone will have to wait longer than 6 minutes.

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Answer:

25+3=28

Step-by-step explanation:

Answer:

y=3x+25

Step-by-step explanation:

Y would represent the total cost spent at the fair. 3x represents the $3 per ticket cost. $25 represents the flat fee of the cost to get into the fair.

Answer:

The answer I'm not too sure but I think you don't have to chear to know.

Step-by-step explanation:

For WXYZ to be a parallelogram, the slope of ZY must be -1/4

parallel lines are coplanar infinite straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet. Parallel curves are curves that do not touch each other or intersect and keep a fixed minimum distance.

For two lines to be parallel, their slope must be equal. This means that the slope of ZY must be equal to the slope of WX

The slope of ZY is calculated as:

(y2-y1)/x2-x1

= 0-2/3-(-5)

= -2/8

= -1/4

Therefore the slope of WX = -1/4

His means for WXYZ to be a parallelogram, the slope of ZY = slope of WX = -1/4

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Answer:

5.99

Step-by-step explanation:

Answer: 20× + 10 < 90

Step-by-step explanation:

Blake will have to mow at least 7 lawns to have at least $90 saved.

The inequality is: 20 + 10x ≥ 90

The solution is: x ≥ 7

Inequality is a mathematical statement that compares two values, expressing that one value is less than, greater than, less than or equal to, greater than or equal to, or not equal to another value.

Inequalities are commonly represented using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

Let's assume Blake has to mow x lawns to have at least $90 saved.

Since he earns $10 for every lawn he mows, the amount he will earn by mowing x lawns is 10x.

Adding his initial savings of $20 to the amount he will earn from mowing lawns gives us the following inequality:

20 + 10x ≥ 90

Subtracting 20 from both sides:

10x ≥ 70

Dividing both sides by 10:

x ≥ 7

Therefore, Blake will have to mow at least 7 lawns to have at least $90 saved.

The inequality is: 20 + 10x ≥ 90

The solution is: x ≥ 7

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Answer:

The Father is currently 47 and the Son is 7

Step-by-step explanation:

Let F and S be the present ages of Father and Son, respectively.

We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]

We also learn that (F+3) = 5(S+3)  [3 years later it will be 5 times only]

Take the first expression and isolate one of the variables (S or F).  I'll isolate F:

(F-2) = 9(S-2)

F = 9S - 16

Now use this in the second expression:

(F+3) = 5(S+3)

((9S-16)+3) = 5(S+3)

9S-13 = 5S+15

4S = 28

S = 7

Since F = 9S-16,

F = 9*(7)-16

F = 47

Father is 47 and Son is 7

CHECK:

Was the father 9 times the age of his son 2 years ago?

Father would have been 45 and son 5.  Yes, 9*5 = 45

In 3 years will he be 5 times older than his son?  Yes, Father would be 50 and son would be 10.  5*(10) = 50

Step-by-step explanation:

solve simultaneously

subtract the 2 equations like you subtract pure numbers from each other.

5x + 2y = 12

3x + 2y = 8

5x - 3x +2y - 2y = 12 - 8

2x = 4

x = 2

alternatively...

3x + 2y = 8

5x + 2y = 12

-2x = -4

x = 2.

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

The area of the figure can be obtained by splitting the figure into smaller components

The area of the irregular figure = Area of A + Area of B + Area of C

Area of A = L X B = 12 x 7 = 84 sq meters

Area of B = L X B = 5 X 8 = 40 sq meters

Area of C = L X B = 5 x 8 = 40 sq meters

Total area = 84 + 40 + 40 = 164 sq meters

Answer:

he is as tall as a Mouse.

explanation:

we can't Write an expression to represent Steve's height inches if we don't know what his height is

So what is Steve's height?

For A: Bar graph; for B: Histogram; for C: Pie chart; and for D:  Bar graph would be appropriate graphical representations.

a. The number of sales for your online company on each of the seven days in the past week:

The best graphical display to use here would be a bar graph. This is because a bar graph is appropriate for showing the distribution of a categorical variable, and the days of the week can be considered a categorical variable. The bar graph can clearly show the number of sales for each day of the week, making it easy to compare sales across days.

b. The amounts of each of the sales on Monday of the past week:

A histogram would be the best choice for this scenario. A histogram is used to represent continuous data, and sales amounts are continuous data. The histogram can be used to show the frequency of sales amounts within a specific range, providing a clear visual representation of the distribution of sales amounts on Monday.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week:

A Pareto chart would be the best choice for this scenario. A Pareto chart is used to show the relative frequency or size of problems or categories, with the largest categories displayed on the left and the smallest on the right. The Pareto chart can clearly show the number of items bought by each customer, making it easy to see which customers made the most purchases.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week:

A bar graph would be the best choice for this scenario. This is because a bar graph can clearly show the distribution of the total sales amount for each customer, making it easy to compare the total sales among customers.

"

Complete question

Which graphical display should you use? For each of the following scenarios, decide which graphical display (pie chart, bar graph, Pareto chart, stemplot, or histogram) you would use to describe the distribution of the variable. Give a reason for your choice and if there is an alternative choice that would also be reasonable, explain why your choice was better than the alternative.

a. The number of sales for your online company on each of the seven days in the past week.

b. The amounts of each of the sales on Monday of the past week.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week.

"

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Yes, the solution of the dual offer computational advantages over solving the primal directly

Let us consider the given primal problem:

Minimize z = 50x₁ + 60x₂ + 30x₃

subject to

5x₁ + 5x₂ + 3x₃ ≥ 50

x₂- x₃ ≥ 20

7x₁ + 6x₂ - 9x₃ ≥ 30

5x₁ + 5x₂ + 5x₃ ≥ 35

2x₁ + 4x₂ + 15x₃ ≥ 10

12x₁ +10x₂ ≥ 90

x₂ - 10x₃ ≥ 20

x₁, x₂, x₃ ≥ 0

We will now form the dual problem by introducing the dual variables y₁, y₂, y₃, y₄, y₅, y₆, y₇, and the objective function of the dual problem is to maximize the sum of the right-hand side coefficients of the primal constraints multiplied by the dual variables.

The constraints of the dual problem are formed by the coefficients of the primal objective function.

Maximize w = 50y₁ + 20y₂ + 30y₃ + 35y₄ + 10y₅ + 90y₆ + 20y₇

subject to

5y₁ + y₂ + 7y₃ + 5y₄ + 2y₅ + 12y₆ ≥ 50

5y₁ + 5y₂ + 6y₃ + 5y₄ + 4y₅ + 10y₆ - 10y₇ ≥ 60

3y₁ - y₂ - 9y₃ + 5y₄ + 15y₅ ≥ 30

Now, we can solve this dual problem using the simplex method or any other optimization technique.

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Complete Question:

Solve the dual of the following problem, and then find its optimal solution from the solution of the dual. Does the solution of the dual offer computational advantages over solving the primal directly?

Minimize z = 50x₁ + 60x₂ + 30x₃

subject to

5x₁ + 5x₂ + 3x₃ ≥ 50

x₂- x₃ ≥ 20

7x₁ + 6x₂ - 9x₃ ≥ 30

5x₁ + 5x₂ + 5x₃ ≥ 35

2x₁ + 4x₂ + 15x₃ ≥ 10

12x₁ +10x₂ ≥ 90

x₂ - 10x₃ ≥ 20

x₁, x₂, x₃  ≥ 0

The assumption of a finite population is the answer to the question of which condition/assumption is not required for the one-sample t inference for the mean μ of a population.

The one-sample t inference for the mean μ of a population is based on several conditions and assumptions. Let's discuss each of them and identify which one is not a condition or assumption.

Random Sampling: One of the key assumptions is that the data used for the inference is obtained from a random sample. Random sampling ensures that the observations are independent and representative of the population.

Normality: The t inference assumes that the population follows a normal distribution. This assumption is necessary to apply the t-distribution for inference. However, for large sample sizes (typically above 30), the t-inference is robust to deviations from normality due to the Central Limit Theorem.

Independence: The observations in the sample should be independent of each other. This assumption ensures that each observation provides new information and is not influenced by other observations.

Finite Population: The t-inference assumes that the population from which the sample is drawn is finite. This assumption is relevant when the sample size is a large fraction of the population size. If the population is infinite or extremely large, this assumption is not necessary.

Homogeneity of Variance: The t-inference assumes that the variance of the population is the same across all levels of the independent variable. This assumption is known as homogeneity of variance. Violation of this assumption can lead to inaccurate results.

Based on these conditions and assumptions, it can be concluded that the assumption of a finite population is not a condition of the one-sample t inference for the mean μ. The assumption of a finite population is relevant only when the population size is small or the sample size is a large fraction of the population size. In most practical scenarios, where the population size is large or infinite, this assumption is not applicable.

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Answer:

x = 2

Step-by-step explanation:

First, subtract 4x from both sides:

4x + 1 = 7x - 5

1 = 3x - 5

Add 5 to both sides:

6 = 3x

Divide each side by 2:

2 = x

So, the answer is x = 2

Answer:

2 =x

Step-by-step explanation:

4x + 1 = 7x - 5

Subtract 4x from each side

4x-4x + 1 = 7x-4x - 5

1 = 3x-5

Add 5 to each side

1+5 = 3x-5+5

6 = 3x

Divide each side by 3

6/3 = 3x/3

2 =x

The length of the radius is 5 cm.

The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

Substituting A = 78.93cm^2, we get:

78.93 = πr²

Solving for r, we get:

r² = 78.93/π

r = √(25)

r = 5 cm (rounded to 2 decimal places)

Therefore, the length of the radius is 5 cm.

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Answer:

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

Step-by-step explanation:

Following equations are parallel to the graph 4x - y = 6, because their slopes are equal (4).

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

Answer:23,87

Step-by-step explanation:

call the 2 numbers x and y

average of 2 numbers being 55 means (x+y)/2 = 55

if the positive difference of the two numbers is 64 then x-y=64

since you have two equations and two variables you can solve for x and y

(x+y)/2 = 55 --> x+y=110
x-y=64 --> x=64+y

x+y=110 and x=64+y --> 64+y+y=110

y=23

x=87

the two numbers are 23 and 87

Answer:

87,23

Step-by-step explanation:

Let larger number be x other smaller number be y,
Given,
(x+y)/2=55
or, x+y=110---(i)
x-y=64---(ii)
Adding eqn (i) & (ii), we get,
 x+y=110
+x-y=64
 2x=174
x=87
Again,
Putting x=87 in eqn (ii), we get,
87-y=64
87-64=y
y=23