If the second of three consecutive integers is subtracted from 135, the result is the sum of the first and third. What are the integers?

Answer:

47*

Step-by-step explanation:

Each corner of the square is 90*

angle CBE + angle ABE = 90*

fill in the blanks

43 + x = 90

subtract 43 from both sides

x = 47*

There is sufficient evidence from the hypothesis test, with a p-value of 0.035 < 0.05, to say that men and women in the United States consume different amounts of calcium.

The evidence for the null and alternative hypotheses, which are two competing statements, are compared using a statistical test. Null hypothesis or population impact does not exist (H0). An alternate hypothesis, or population effect, exists (Ha or H1).

Here,

The proportion between men and women is examined at the null hypothesis as follows:

[tex]H_{0}[/tex] : u1 - u2= 0

If the proportions are different under the alternative hypothesis, then:

[tex]H_{A}[/tex] : u1 - u2 ≠ 0

There is adequate data to determine that men and women in the United States consume different percentages of the necessary calcium levels because the p-value is 0.035 0.05.

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The messages sent by each person will be:

David sent 24 message

Keith sent 96 messages

Mary sent 29 messages.

Let David be represented as x.

Keith sent 4 times as many messages as David. This will be 4x.

David sent 5 fewer messages than Mary. Mary has x + 5.

The equation will be:

David + Keith + Mary = 149

x + 4x + x + 5 = 149

6x + 5 = 149

Collect like terms

6x = 149 - 5

6x = 144

Divide

x = 144 / 6

x = 24

David sent 24 message

Keith = 4x

= 4 × 24

= 96 messages

Mary = x + 5

= 24 + 5

= 29 messages.

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The graph is given below and the value of the function is -0.4 at x = 0.7.

Any equation with a variable difference in it is a difference equation. The following variables affect how different equations are categorized. • The equation's order. The highest order of difference in the equation is represented by the order.

y = Mt (x - 1) + 0

Where Mt = 1/3* 1(0-2)²

Mt = 1/3*4

Mt = 4/3

From equation 1

y = (4/3)(x - 1)

Function at x = 0.7

f(0.7) = 4/3(0.7 -1 )

= 4/3(-0.3)

F(0.7) = -2/5

Let, u = y - 2

du = dy

[tex]\int\limits {1/(y-2)^2} \, dy = \int\limits {x/3} \, dx \\\int\limits{du/ u^2} \, du = 1/3 \int\limits{x} \, dx[/tex]

-1/u = 1/3( x²/2) + c

-1/(y+2)  = x²/6 + c

At point(1 , 0 )

c = 2/6

Thus

-1/(y-2) = x²/ 6  - 1/3

y  = -6/(x² + 2) + 2

Therefore, value of the function is -0.4 at x = 0.7.and function at x = 1 is

y  = -6/(x² + 2) + 2

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Answer:

Plan B is better than Plan A as B is cheaper than A.

Since we have given that

Plan A consist of :

Amount for monthly membership fee = $50

Cost per visit = $10

Equation of total fees would be

Plan B consist of :

Amount for monthly one time membership fee = $25

Cost per visit = 15

Equation of total fees would be

Here , x denotes the number of visits.

Let us suppose x = 1

Then , fees for plan A would be

Fees for plan B would be

Hence, Plan B is better than Plan A as B is cheaper than A.

Answer:  5 4/15

Step-by-step explanation:

1 3/5 + 3 2/3 = 8/5 + 11/3

Find the common denominator (5 and 3) = 15

So 8/5 equals to 24/15 because if 5 x 3 = 15 , 8 must also multiply by 3.

11/3 equals to 55/15 because if 3 x 5 = 15 , 11 must also multiply by 5.

Thus 24/15 + 55/15 = 79/15

This is an improper fraction, so converting to mixed number:

79/15 = 5 4/15 because 5 x 15 + 4 = 79

Answer:

1 - (5/6)x = 2y

Step-by-step explanation:

To write the equation y = 5/12x - 1/2 in standard form, we need to first get rid of the fractions by multiplying both sides of the equation by the least common denominator of the fractions, which in this case is 12. This gives us the equation 12y = 5x - 6. Next, we can rearrange the terms on the right-hand side of the equation to get 6 - 5x = 12y. Finally, we can divide both sides of the equation by 6 to get the equation in standard form, which is 1 - (5/6)x = 2y. The standard form of the equation is thus 1 - (5/6)x = 2y.

Answer:

5/12x = y - 6

Step-by-step explanation:

To write the equation y = 5/12x - 1/2 in standard form, we need to first move all the terms that contain x to one side of the equation and all the constants to the other side. This will give us the equation 5/12x - y = -1/2. Next, we need to multiply both sides of the equation by the denominator of the fraction on the right-hand side to eliminate the fraction. This gives us 5/12x - y = -6. Finally, we need to add y to both sides of the equation to obtain the standard form of the equation, which is 5/12x = -6 + y. This can be written more concisely as 5/12x = y - 6. Therefore, the equation y = 5/12x - 1/2 can be written in standard form as 5/12x = y - 6.

The correct interpretation for the confidence interval for the given  random sample of 41 state college students is option e (i.e. none of the above).

What is Confidence Interval ?

Confidence interval gives a range of estimated value of population parameter. The value that does not lie within the confidence interval tend to not represent the population parameter whereas , if the value lie inside the confidence interval it represent the population parameter with a certain confidence level.

What are random samples ?

A simple random sample is a randomly selected subset of a population. In this sampling method, each member of the population has an exactly equal chance of being selected, minimising the risk of selection bias.

According to the question , A 95% confidence interval constructed using the data is (21.709, 25.091)

95 % confidence interval is (21.709, 25.091).

Sample size is 41 state college students

Hence , The correct option is E as the confidence interval tend to reflect the population parameter. And also it show that there is certain confidence level that population parameter will lie within the confidence interval. Suppose we take out 100 sample at random that 95% of this will have population foot length mean between 21.709 and 25.091.

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Answer:

Totally It Would Be 6.48

Answer:

Step-by-step explanation:

a = lw

l = a/w

l = (9/10)/(2/5) = (9/4)

l/w = (9/4)/(2/5) = 5 5/8 times greater

Answer:

4.5/2 = 2.25

Dif: 2.25/0.4 = 5.625 times greater

Hope this helps

The probability of not selecting any of the correct six integers in a lottery is 0.18. This is calculated by subtracting the probability of selecting all the correct integers from 1, and the probability of selecting all the correct integers is the product of the probabilities of selecting each of the integers.

The probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers is 0.18. To calculate this probability, we must first find the probability of selecting all the correct integers. This is done by calculating the probability of selecting each of the integers individually and multiplying them together. For example, the probability of selecting 6 is 1/5, since there are five positive integers not exceeding 6. The probability of selecting 8 is 2/5, since there are five positive integers not exceeding 8 and two of them are 8. The probability of selecting 9 is 3/5, since there are five positive integers not exceeding 9 and three of them are 9. The probability of selecting 10 is 4/5, since there are five  not exceeding 10 and four of them are 10. The probability of selecting 11 is 5/5, since there are five positive integers not exceeding 11 and five of them are 11

Probability of selecting all the correct integer

= (1/5)*(2/5)*(3/5)*(4/5)*(5/5)

= 0.18

Probability of selecting none of the correct integers

= 1 - 0.18 = 0.18

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The complete question is

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers. (Enter the value of probability in decimals. Round the answer to two decimal places.)Given: 6, 8, 9, 10, 11

The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

The primary purpose of the passage is to caution against uncritical embrace of nuclear fusion power as a major energy source.

Nuclear fission generates a significant amount of radioactive waste, which can be hazardous and needs to be stored securely for a long period of time. Nuclear fusion waste has a lower radioactivity and decays significantly more quickly. Fossil fuels like gas and oil are not required for nuclear fusion.

Radiation that is released voluntarily is referred to as radioactivity. An atomic nucleus that is unstable for some reason accomplishes this by "wanting" to give up some energy in order to change its configuration to one that is more stable.

The passage begins by classifying as misconceptions favorable views about nuclear fusion power and finishes by recommending the use of current energy sources going forward rather than nuclear fusion power. All of this adds up to the text trying to warn against uncritically embracing nuclear fusion power as a major source of energy.

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The side w of the rectangle is 2.5 cm.

The triangle and the rectangle have the same area.

Therefore,

area of a triangle = 1 / 2 bh

where

b = 5 cm

h = 6 cm

area of a triangle = 1 / 2 × 5 × 6

area of a triangle = 30 / 2

area of a triangle = 15 cm²

Therefore,

area of a rectangle = lw

where

Hence,

15 = 6w

w = 15 / 6

w = 5 / 2

w = 2.5 cm

Therefore, the side w is 2.5 cm.

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calculations are also used in statistical predictions of the likely election results, these calculations yield ranges of possibilities rather than precise results.

Given,

Member of the club paying for rental bike =

10

non-member of the club paying for rental bike = 15

Also for summer season member had given $100.

Bike taken by members = x

Bike taken by non-members = y

to pay same amount,

100+10x = 15y

1. let's take x=1

110=15y

y!= integer

x can't be 1

2. let's take x=2

120 = 15y

y = 8 i.e. an integer value



So, members will take bike on rent for 2

times and non-members for 8 times.

And the amount is 120.

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Answer: 1 [tex]\frac{1}{15}[/tex] miles

Step-by-step explanation:

     We will divide the length of the road, five and one-third miles by the number of groups, five teams, to find the answer to this question.

     (5 1/3) / 5 = (16/3) / 5 = (16/3) * (1/5) = 16/15 = 1 1/15 miles

* Note: We can use "keep change flip" when multiplying with fractions. Keep the first number, change to multiplication, flip to the reciprocal of the second number

Answer:

Reason 5.

All right angles are congruent.

Reason 6.

ASA

(You have 2 angles and the included side of the two triangles, so by ASA (angle-side-angle) the triangles are congruent.)

The probability that there is at least one car that has no working tires is given as follows:

0.0002 = 0.02%.

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

For each car, the parameters are given as follows:

p = 0.9, n = 4.

Hence the probability that a car has no working tires is given as follows:

P(X = 0) = (1 - 0.9)^4 = 0.0001.

Hence the probability that two cars have working tires is given as follows:

P(X = 2) = (1 - 0.0001)² = 0.9998.

The probability that at least one has no working tires is given as follows:

P(X < 2) = 1 - 0.9998 = 0.0002 = 0.02%.

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The gradient of a line is computed by dividing the difference between the -coordinates by the difference between the -coordinates.

The Complete Question gradient of a line.

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No, because with a sample size of 10, the heavily skewed population distribution will not allow for a nearly normal distribution of sample means.

With a sample size of 10, the heavily skewed population distribution will not allow for a nearly normal distribution of sample means. This is because the sample size is too small and the skewed population distribution will not have enough data to accurately represent the overall population. With a sample size of 10, the sample means will be heavily influenced by outliers and extreme values, which will lead to a histogram that is skewed and not nearly normal. Therefore, no matter how slightly skewed the population distribution is, a sample size of 10 is not large enough to create a normal distribution of sample means.

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The slope of the line is 6.

What is a point on a line?

In geometry, a point is a place. It is completely empty, meaning it has no width, length, or depth. A dot indicates a point. A line is described as a collection of points that stretches in both directions indefinitely.

Given table is

x   12    13    14    15

y   -4     2     8     14

The points on the lines are (12,-4), (13,2), (14,8), (15,14).

The formula of slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).

Now consider two points (12,-4), (13,2) to find the slope:

m = (2 - (-4))/(13 - 12)

m = (2 + 4)/1

m = 6/1

m = 6

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Point (2,10) is not satisfying the linear function y = 10x + 3 thus it will be not the solution of the system of equations.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given point (2,10)

Put it into y = x + 8

10 = 2 +  10 = 10 (satisfy)

Put it into y = 10x + 3

10 = 10 x 2 + 3 = 23 ≠ 10 (Not satisfy)

Hence "Point (2,10) will not be the system of equations' solution since it does not fulfill the linear function y = 10x + 3".

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The lateral surface area of the walls of the warehouse is 18,000 sq ft.

Area is a measure of the size of a surface or the amount of space that a two-dimensional shape occupies. It is typically measured in square units, such as square feet or square meters. The area of a shape is calculated by multiplying the length and width of the shape together.

To find the lateral surface area of the walls of the warehouse, you need to find the combined area of all the exterior walls. To do this, you can use the formula for lateral surface area, which is:

Lateral Surface Area = 2 * (l * h + w * h)

where l is the length of the wall, w is the width of the wall, and h is the height of the wall.

Using this formula, we can find the lateral surface area of each wall and add them together to get the total lateral surface area:

Wall 1: Lateral Surface Area = 2 * (100 ft * 30 ft) = 6,000 sq ft

Wall 2: Lateral Surface Area = 2 * (200 ft * 30 ft) = 12,000 sq ft

Total Lateral Surface Area = 6,000 sq ft + 12,000 sq ft = 18,000 sq ft

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Answer: b is -17, the y -intercept

Step-by-step explanation:

Do you mean question 7?

We can use the equation y = mx + b to model this, where b is the y intercept.

y = 9/15x - 17

y = mx + b ===> this means that -17 is b.

All of the statements are true.

Here is a breakdown of the set operations:

A U B (the union of A and B) is the set of all elements that belong to either A or B or both. In this case, the elements that belong to

A ∩ B (the intersection of A and B) is the set of all elements that belong to both A and B. In this case, the elements that belong to

A - B (the difference between A and B) is the set of all elements that belong to A but not to B. In this case, the elements that belong to

B - A (the difference between B and A) is the set of all elements that belong to B but not to A. In this case, the elements that belong to

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Answer:

Below in bold.

Step-by-step explanation:

A reflection in the line y = x is described as;

(x, y) ---> (y, x)

So, A' = (-3, 7)

B' = (3, 7)

C' = (-7, -1).

Answer:

0.07

Step-by-step explanation:

The degree of agreement among observers can be established by using a statistical measure of Inter rater reliability (Option c is correct)

Interrater reliability describes how closely two or more people agree.

Because everyone has used it, interrater reliability is the easiest type of reliability to comprehend. For instance, watching a judged event like dog shows or Olympic ice skating depends on human observers upholding a high level of consistency across observers.

Higher values of Kendall's coefficient, which ranges from 0 to 1, suggest more inter-rater reliability. Excellent values are greater than 0.9, and a value of 1 denotes perfect agreement. For the purpose of testing hypotheses, statistical software can compute confidence ranges and p-values.

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Answer:

Divide by 3

Step-by-step explanation:

If you know your multiplication tables, you will know that 8·3 = 24. In reverse, that is 24 / 8 = 3. If you move the decimal point—the dot used for decimals always behind the last digit of a whole number—to the left or right, the answer will stay the same. This is why:

8 · 3 = 24, 80 · 3 = 240, 800 · 3 = 2,400, and so on.

Applying this but the decimal moving to the left results in:

0.8 · 3 = 2.4

I hope you understand!

(If you haven't already, learn your multiplication tables. Just some advice)

Answer:

please set me in star