Rachel has \frac{7}{15}
15
7
​
of her project done. If she can finish \frac{7}{45}
45
7
​
of her project each day, how many more days will it take her to complete it?

​

The test statistic is 1.507 and the corresponding p value is 0.175539

Fail to reject H₀ because the p value is greater than the significance level  0.05.

There is enough evidence to warrant rejection of the claim  that the mean difference between their jumping and relaxed times would be zero.

To find the mean and standard deviation for the paired differences, prepare the table:

Calculate the value of d bar:

d bar = ∑d/n

= 5+7+...+(-3)/8

= 14/8

= 1.75

Calculate the standard deviation of the (d)

Sd = √(d₁-dbar)²/n-1

= √(5-1.75)²+(7.1-75)²+..+(-3-1.75)²/8-1

= √10.785714

= 3.284

The mean and standard deviation of the eight girls were timed to see how long they could be zero.

Null hypothesis H₀: meand = 0

Alternative hypothesis H₁ : mean d ≠ 0

Level of significance α = 0.05

Decision rule : Reject H₀ when p value < 0.05 level of significance.

The null hypothesis is the 8 girls mean difference between their jumping and relaxed time is equal to the zero and alternative hypothesis is the 8 girls mean difference between their jumping and relaxed time is not equal to the zero.

from the available info, d bar = 1.75 Sd = 3.284

Calculate the  test statistic value.

t = 1.75 - 0/3.284/√8

= 1.507

calculate the degree of freedom.

df = n-1

= 8-1

= 7

Calculate the p value of the test

P value = (=TDIST(1.507,7,2)) (use MS Excel function)

= 0.175539

Hence the test statistic is 1.507 and the corresponding p value is 0.175539

Fail to reject H₀ because the p value is greater than the significance level  0.05.

There is enough evidence to warrant rejection of the claim  that the mean difference between their jumping and relaxed times would be zero.

There is no evidence to warrant rejection of the claim that the mean difference between their  jumping and relaxed times would be zero.

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The equation for an arithmetic sequence will be;

⇒ T(n) = a + (n - 1) d

Where, 'a' is first term of an arithmetic sequence, 'd' is common difference and 'n' is number of terms.

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The sequence is an arithmetic sequence.

Now,

Since, The sequence is an arithmetic sequence.

Let 'a' is first term of an arithmetic sequence, 'd' is common difference and 'n' is number of terms.

Then, The nth term of an arithmetic sequence is,

⇒ T(n) = a + (n - 1) d

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We can use the confidence interval formula to estimate how much the drug will lower a typical patient's systolic blood pressure with 80% confidence.

The confidence interval formula is:

Sample mean ± (t-score × standard error)

Where the t-score is calculated from the t-distribution using the number of degrees of freedom (n-1) and the confidence level (80%).

Using the given information, we can calculate the t-score as follows:

t-score = 1.711 (for 80% confidence level and 28 degrees of freedom)

Therefore, the confidence interval is:

55.9 ± (1.711 × (7.4/√29))

= 55.9 ± 4.125

So, with 80% confidence, we can say that the drug will lower a typical patient's systolic blood pressure by between 51.8 and 60.0.

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4) Lower bound = 24.06

Use Dergy Willing

upper bound = 28.55

5)Lower bound = 18.12

upper bound = 34.4

Healthy body=A healthy body is maintained by good nutrition, regular exercise, avoiding harmful habits, making informed and responsible decisions about health, and seeking medical assistance when necessary. Health is a state of complete physical, mental and social well-being and not merely the absence of disease or infirmity .A  state of complete physical, mental and social wellbeing and not merely the absence of disease or infirmity'.

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The values of m and n required to form perfect square trinomials are given as follows:

a) m = -10, n = 25.

b) m = 6, n = 9.

c) m = 12, n = 180.

d) m = -7/2, n = 49/16.

Perfect square trinomials are expressions that have either of these two formats:

The term that multiplies x is always the multiplication of 2 by both of the two terms that are added.

Hence in item 1, the expression is completed as follows:

x² - 10x = (x - 5)² - 25 = x² - 10x + 25 - 25

Meaning that m = -10, n = 25.

In item 2, the expression is completed as follows:

x² + 6x = (x + 3)² - 9 = x² + 6x + 9 - 9.

Hence m = 6, n = 9.

In item 3, the expression is completed as follows:

5x² + 60x = 5(x² + 12x) = 5(x + 6)² - 180 = 5(x² + 12x + 36) - 180 = 5(x² + 12x + 180 - 180).

Hence m = 12, n = 180.

In item 4, the expression is completed as follows:

2x² - 7x = 2(x² - 7/2x) = 2(x² - 7/4x)² - 49/32 = (2x² - 7/2x + 49/16 - 49/16).

Hence m = -7/2, n = 49/16.

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The percentage increase in her jump length would be 8.77%.

What is a percentage increase?

The percentage increase formula is the ratio of value increased to the original value and multiplied by 100. It is expressed in percentage. If there is an increase in the value of anything, then there is an increase in percentage.

The initial jump was 5.7m and the second jump is 6.2m

By using the percentage increase formula, we can write

         Percentage increase = (final value - initial value)/|Final value| * 100

                                             = ((6.2 - 5.7)/6.2)*100

                                             = 8.77%

Hence, the percentage increase in her jump length would be 8.77%.

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Both lines are not connecting each other. So there is no solution. So the pair of lines, identify the system of inconsistent.

In the given question, we have to check the following pair of lines, Identify the system by type.

(a) consistent

(b) inconsistent

(c) equivalent

As we know that;

A system is consistent if it has at least one solution. A consistent system is dependent if there are an endless number of possible solutions. Both equations show the same line on a graph when you plot the equations.

A inconsistent system has no solution. There is no solution because the graphs of the lines do not connect, making the graphs parallel.

Even if the vertices of two graphs differ or are rearranged, we will pronounce them equivalent if they have the same edge structure.

As we can see that in the graph that both lines are not connecting each other. So there is no solution. So the pair of lines, identify the system of inconsistent.

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The value of ∠q is 72 degree. So the option B is correct.

In the given question we have to find the value of q.

The given options are:

A 25 degree

B 72 degree

C 108 degree

D 180 degree

As we know that the angle of straight line is 180 degree.

From the given diagram we can see that the two angel of one line that is cut by another line, is given.

So the third angle of one line that is cut by another line is

25 + 83 + x = 180

x + 108 = 180

Subtract 108 on both side, we get;

x = 72

Using the corresponding angle theorem

∠q = 72 degree

Hence, the value of ∠q is 72 degree. So the option B is correct.

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Answer:

200

Step-by-step explanation:

The sum is 182.5, which is 200 to 1 significant figure.

The pooled proportion is 0.200 and the standard error of the difference in the proportions is 0.0201.

1. The null hypothesis is Pu-Po = 0, which means that the proportion of people under 18 who had accidents is the same as the proportion of people over 18 who had accidents.

2. To calculate the pooled proportion, we first add the total number of people in each group (500 + 600 = 1100). Then we add the total number of accidents in each group (180 + 150 = 330). Finally, we divide the total number of accidents by the total number of people to get the pooled proportion (330/1100 = 0.200).

3. The standard error of the difference in the proportions can be calculated using the formula SE = SQRT(P1*(1-P1)/n1 + P2*(1-P2)/n2), where P1 is the proportion of people under 18 who had accidents, P2 is the proportion of people over 18 who had accidents, and n1 and n2 are the number of people in each group. In this case, P1 = 150/600 = 0.250, P2 = 180/500 = 0.360, n1 = 600, and n2 = 500. Plugging these values into the formula gives us SE = SQRT(0.250*(1-0.250)/600 + 0.360*(1-0.360)/500) = 0.0201.

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The Total Probability of getting exactly two 3s in two throws is 1/36

What is Probability?

A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Solution:

Probability of Obtaining 3 in the first throw = 1/6

Since, the number of possible outcome is 11 and total outcomes are 6

Similarly the probability of getting 3 in the second throw is 1/6

Therefore, total probability = 1/6 * 1/6 = 1/36

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Answer: Option B: 14%

Step-by-step explanation: The only option that seems suitable is option B. You can't have celiac disease and test negative.

Answer:

I think it is 51% or 22%

I am not sure which one, but I think it should be 51% or 22%.

Answer:

Your Answer is A.

Step-by-step explanation:

First look at the inequality graph.

We can note that its a variable is greater than 2. (p >2)

Then looking at our options.

Option A can be.

Option B can't be it since its greater than or equal to.

Option C can be.

Option D can't be since dividing or multiplying by a negative switches the signs greater than to less than or vice versa.

Leaving only option A or C.

Solve A and C.

5p + 4 > 14

5p > 10

p > 2

5p - 4 > 14

5p > 18

p > 18/5

Answer:

Step-by-step explanation:

We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.

Altogether, the bookseller sold 240 math and history textbooks. So:

x + y = 240

Now, the number of history textbooks sold was 72 less than the number of math books sold. So:

y = x - 72

Now we can substitute for y in the equation and solve:

x + y = 240

x + (x - 72) = 240

2x - 72 = 240

2x = 312

x = 156

The bookseller sold 156 math textbooks.

Since y = x - 72, he must have sold 84 history textbooks.

Let's check our answers:

x + y = 240

156 + 84 = 240

That is true, so we did get the correct answers

The slope linear relationship (1,3) and (-2,-1) is 4/3.

What is  line?

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

Find the line y=m x+b passing through (1,3),(-2,-1).

Compute the slope [tex]$(1,3),(-2,-1): \quad m=\frac{4}{3}$[/tex]

Compute the y intercept: [tex]$\quad b=\frac{5}{3}$[/tex]

Construct the line equation [tex]$\mathbf{y}=\mathbf{m} x+b$[/tex]  where [tex]$m=\frac{4}{3}$[/tex]and [tex]$b=\frac{5}{3}$[/tex]

[tex]y=\frac{4}{3} x+\frac{5}{3}$$[/tex].

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The exponential equation that represents the population of wolves over time is -

y = 12(1.12)ˣ

        [tex]y = log_{e}x[/tex]

Given is a table as shown in the question.

Assume the exponential equation to be -

y = A(B)ˣ

At [x] = 0, [y] = 12 -

12 = A(B)⁰

A = 12

and

At [x] = 2, [y] = 15 -

15 = A(B)²

(B)² = 15/12

(B)² = 1.25

(B) = √(1.25)

(B) = 1.118

(B) = 1.12

The equation will be -

y = 12(1.12)ˣ

Therefore, the exponential equation that represents the model is -

y = 12(1.12)ˣ

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Answer:

It's answer B

Step-by-step explanation:

Answer:

The sales tax rate is 7.96%.

Step-by-step explanation:

To determine the sales tax rate, we need to first calculate the amount of the discount on the tablet by multiplying the regular price by the discount percentage:

Discount = Regular price * Discount percentage

Discount = $330 * 15%

Discount = $49.50

Next, we can calculate the total price of the tablet before taxes by subtracting the discount from the regular price:

Total price before taxes = Regular price - Discount

Total price before taxes = $330 - $49.50

Total price before taxes = $280.50

Finally, we can calculate the sales tax rate by dividing the total amount of taxes paid by the total price of the tablet before taxes and multiplying by 100% to express the result as a percentage:

Sales tax rate = (Total amount of taxes paid / Total price before taxes) * 100%

Sales tax rate = ($302.94 - $280.50) / $280.50 * 100%

Sales tax rate = $22.44 / $280.50 * 100%

Sales tax rate = 7.96%

Therefore, the sales tax rate is 7.96%.

The center of mass for the system (x, y) is [tex]\left(\frac{a m+b M}{m+M}, 0\right)[/tex].

What is center of mass?

The unique location where the weighted relative position of the scattered mass adds to zero is known as the center of mass in physics. Here is where a force may be applied to produce a linear acceleration without also producing an angular acceleration.

The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses.

Centre of mass is

[tex]x=\frac{m a+M b}{m+M}[/tex]

and y=0

[tex](x, y)=\left(\frac{a m+b M}{m+M}, 0\right)[/tex]

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Based on the rating system and the summarize() and mean() functions, the code chunk to add is summarize(mean(Rating)) and the mean rating is 3.185933.

To determine the mean value for the variable Rating, you must add the code chunk summarize(mean(Rating)). Trimmed flavors df%>% summarize(mean(Rating)) is the right code. In this section of the code:

You can display summary statistics using the summarize() method. To generate specific statistics, you can combine the summarize() method with others like mean(), sd(), and max().

In this instance, you compute the mean value for the variable Rating using the mean() function.

The average score is 3.185933.

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linearity and relevant range include the use of cost behavior pattern data.

the existence of a chain of thoughts or actions wherein one directly follows another: True autobiographies rarely have a linear structure. We don't have a linear existence. Constantly thrown off balance is the narrative's traditional linearity.

The accounting phrase "relevant range" refers to the production or activity parameters that a company must adhere to in order to keep its fixed costs constant. Fixed costs in accounting are constant and unaffected by particular production rates.

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Answer:

y=3/4x-2

Step-by-step explanation:

The slope of the line between points A and B based on data provided in the table is -0.29. (Option A)

The slope of the line refers to is the change in y coordinate with respect to the change in x coordinate. The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

From the table point A is (5, 18) and B is (12, 16).

The formula of the slope = Δy/ Δx = (y2 – y1)/(x2 – x1)

Hence the slope of line between points A and B is

Slope = (16 – 18)/(12 – 5) = -2/7 = -0.29

Note: The question is incomplete as it is missing options which are A) -0.29 B) -3.5 C) 0.29 D) 3.50 E) -1.00

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The fraction of the book chung read on the second day is 17/40 and No, he didn't finish the book in two days

fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. In proper fractions the denominator is greater than the numerator but in improper, the denominator is lesser than the numerator.

Chung read 5/8 of a book

let's represents the volume pages of the book by x

therefore chung read 5/8 × x = 5x/8

on the second day, he read 1/5 less of the previous day = 5x/8-1/5x = 17x/40 i.e he read 17/40 of the book on the second day

the volume of pages left = x - (17×/40+5×/8)

x-22x/40

the fraction of remaining page left = (40-22)x/40

= 28x/40

divide through by 4

7/10 of x

therefore 7/10 of the book is still left to be read. This means chung didn't finish reading the book on the second day.

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Answer: The solution here is found by establishing a system of linear equations.

A system of equations with x unknowns can be evaluated for an exact solution if the system has x equations.

Within the question, we are asked to discover the values of two different unknowns - dimes and nickels.

Therefore, we'll need two equations to obtain an exact solution, both of these will come directly from the problem itself.

Let d represent the number of dimes Diane has and let n represent the number of nickels.

Equation 1

We know from the given information that the total number of coins (both dimes and nickels) is equal to 19.

Subsequently, we can generate the equation d + n = 19.

Equation 2

We know that the individual value of a dime is $0.10 or 0.1 dollars, therefore the total value of the dimes is equal to the individual value of a dime multiplied by the total number of dimes.

The resultant expression for the total value of the dimes is (0.1)*d

We know that the individual value of a nickel is $0.05 or 0.05 dollars, therefore the total value of the nickels is equal to the individual value of a nickel multiplied by the total number of nickels.

The resultant expression for the total value of the nickels is (0.05)*n

We know that Diane only has dimes and nickels, and the total value of all her coins must be equal to the total value of the dimes plus the total value of the nickels. This value is given within the problem to be $1.55 or 1.55 dollars.

Subsequently, our second equation within the system is (0.1)*d + (0.05)*n = 1.55.

Now, we can solve the system of equations using whichever means is most convenient. For this example, I will solve the system by substitution

First, solve for one of the variables —> Equation 1 —> d + n = 19 —> d = 19 - n

Second, substitute the value of d into Equation 2 —> (0.1)*(19 - n) + (0.05)*n = 1.55

Recall that 0.1 = 1/10 and 0.05 = 1/20

Equation 2 —> (1/10)*19 - (1/10)*n + (1/20)*n = (31/20) —> (19/10) - (n/10) + (n/20) = (31/20)

Find the least common denominator of all fractions in the equation (20 in this case), convert the fractions to have like denominators, and solve.

(19/10)*(2/2) - (n/10)*(2/2) + (n/20) = (31/20) —> (38/20) - (2n/20) + (n/20) = (31/20) —> (38/20) - (n/20) = (31/20) —> (n/20) =(38/20) - (31/20) =(7/20) —>n = 7

Substitute solution into Equation 1 to solve for d

d + 7 = 19 —> d = 12

q+4+q + 10q+40 + 25q = 155

37q + 44 = 155

37q = 111

q = 3 (# of quarters)

d = q+4 = 7 (# of dimes)

p = d+q = 7+3 = 10 (# of pennies)

Step-by-step explanation:

Therefore , the answer to this problem is that planned delivery time is the amount of time required to get material.

Time scheduling is a group of methods for creating and presenting schedules that indicate when work will be done. All of these methods' outcomes are typically displayed as activities or bars on a timeline known as a Gantt chart.

Here,

Obtaining the substance requires the following scheduling if it is externally manufactured.

So ,

When a material is purchased outside, the planned delivery time is the amount of time required to get the material.

Therefore , the answer to this problem is that planned delivery time is the amount of time required to get material.

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The complete question is "which of the following scheduling times is needed to obtain the material if it is externally produced or not ?

a.In-house production time.

b.Goods issue processing time.

c.  Planned delivery time.

d. Goods receipt processing time."

We have to find a problem at the 5% significance level.

Sample size = 10.

We're losing one till test if the Significant value is at five and 10. The critical value of W. C. is 44. When we look at the test, we're supposed to do one tailed. Which tail is it?

We are asked if one is more effective than the other.

Everything is mostly positive here, and we find what our values are. Mhm. 10 patients who used love level high school obtained additional sleep hours by using the following data set High bromide.

That's the control group minus the other one.

The control group is made up of people. I'm not sure if it's a left or right tail, so we'll just calculate the two ends.

The other tail is going to be divided by two and the right tail is going to be 44. 55 minutes 44 is going to be 11. It's very handy. Okay. If it's less than 11 it won't reject and if it's greater than 44 it will reject. Is it sound good? We had 10 students who were at the positive values and they were 1.9 plus 0.8 plus 1.1 plus 0.1. We get 23.4 for our nut. Okay. Critical value leads us straight to the middle. We failed to reject the null hypothesis and this was just a right tail test. If we tried it again at the 1% significance level, it would change our values to be 50. We did 10 tons 11 divided by two. Fifty is going to be five. Again, 23.4 lands us right in there.

We failed to reject the hypothesis again.

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The number of each type of tickets sold are;

180 adults tickets

260 students tickets

60 children tickets

Let us solve to get the solution using 3 variables.

Let c be the number of children's tickets

Let s be the number of student tickets

Let a be the number of adult tickets

We are told that the total number of tickets was 500

Thus;

a + s + c = 500   ------(1)

The number of adult tickets was 3 times the number of children's tickets. Thus;

a = 3c   ------(2)

The total cost of the tickets was $8070. Thus;

18a + 15s + 12c = 7860  ----(3)

We conclude that solving these three equations simultaneously gives us;

a = 180 adults

s = 260 students

c = 60 children

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Answer: Heat

Step-by-step explanation:

Heat is thermal energy that flows from something at a higher temperature to something at a lower temperature.

Answer:

it is heat

A

Step-by-step explanation:

among all option it is only heat that is a thermal energy

HEAT is thermal energy that is transferred from something at a higher temperature to something at a lower temperature

ADDITIONAL INFORMATIONS

state means the particular condition that someone or something is in at a specific time.

plasma means the colourless fluid part of blood, lymph, or milk, in which corpuscles or fat globules are suspended.

charge means is the physical property of matter that causes it to experience a force when placed in an electromagnetic field.

PLS RATE ASBRAINLIEST

The number of students and adult ticket sold are 988 and 758 respectively .

Students pay $2 per ticket and adults pay $5 per ticket. The stadium is filled to its capacity of 2000 but 254 of those seats are given free of charge to band members, pep squad members, and faculty members.

The total income from the sale of tickets for the current game is $5766.

The number of student and adult tickets that were sold can be calculated as follows:

let

x = number of student ticket sold

y = number of adult ticket sold

Hence, using equation,

Students pay $2 per ticket and adults pay $5 per ticket and the total total sale is 5766.

2x + 5y = 5766

The stadium is filled to its capacity of 2000 but 254 of those seats are given free. This means the actual number of people that paid for the seats is 2000 - 254 = 1746.

x + y = 2000 - 254

x + y = 1746

Combine the equation

2x + 5y = 5766

x + y = 1746

multiply equation(ii) by 2

2x + 5y = 5766

2x + 2y = 3492

subtract equation(ii) from equation(i)

3y = 2274

y = 2274 / 3

y = 758

x = 1746 - 758

x = 988

Therefore,

number of student tickets = 988

number of adult tickets = 758

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The appropriate hypothesis test results that it reject the null hypothesis and accept the alternative hypothesis. The z score of -7.26 is in the rejection area

How to calculate hypothesis test?

The general form to calculate the hypothesis is by using the sample data and assuming the null hypothesis is true, calculate the value of the test statistic.

Here the hypothesis test for the population mean μ, we use the t-statistic t = x  − (μ*s) / n

where the t-distribution with n - 1 degrees of freedom.

Here we have given that suppose that a particular NFL team claims that the mean weight of their defensive players is 315 pounds.

And we need to find  appropriate hypothesis test and make conclusions at significance level 0.08 and here we have to assume weights are normally distributed.

While we looking into the given question, we have identified that weights are normally distributed.

Then the value of the given data are written as

data = 315 ,

n= 15 ,

Mean = 300,

standard deviation = 8,

Significance level= 0.08

Then the hypothesis is written as,

The critical value (cutoff point) is 1.761.

Where in left-tail hypothesis testing, any z score less than the critical value will be rejected. Since -7.26 is less than 1.761, we reject the null hypothesis. We accept the alternative hypothesis

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