Suppose you are going to conduct a two tail test concerning the population mean. Suppose that you do not know what the population standard deviation is and that you have a sample of 55 observations. If you are going to conduct this test at the. 01 level of significance what is the critical value? be sure to enter a positive number and answer to four decimal places.

The average velocity for the [3,4] is 27m/s and for [4,5] is 37m/s

The average velocity can be found by taking the derivative of the position function and evaluating it at the midpoint of the interval.

The average velocity on the interval [3,4] is given by (s(4) - s(3)) / (4 - 3), which is equal to (s(4) - s(3)) / 1. Using the position function, s(t) = 5t^2 - 8t + 13, we find that s(4) = 5(4²) - 8(4) + 13 = 61 and s(3) = 5(3²) - 8(3) + 13 = 34. Therefore, the average velocity on the interval [3,4] is (61 - 34) / 1 = 27 m/s.

The average velocity on the interval [4,5] is given by (s(5) - s(4)) / (5 - 4), which is equal to (s(5) - s(4)) / 1. Using the position function, s(t) = 5t² - 8t + 13, we find that s(5) = 5(5²) - 8(5) + 13 = 98 and s(4) = 5(4²) - 8(4) + 13 = 61. Therefore, the average velocity on the interval [4,5] is (98 - 61) / 1 = 37 m/s.

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Answer:

Statistical Questions:  1 and 3  

NOT Statistical Questions:  2 and 4

Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.

For example, "How many minutes do 6th grade students typically spend on homework each week?" is a statistical question.

Answer:

zero ...I know you just sharing the points.

Each SMS message is $0.15 in price. It would cost x * 90 = $0.15 * 90 = $13.50 to send 90 SMS messages.

Information that is communicated by words (spoken or written) and/or other signs and symbols is referred to as a message in rhetorical and communication studies. The purpose of communication is to convey information, either verbally, nonverbally, or both. The sender is the message's creator during the communication process.

When you are unable to communicate with someone directly, you can send them a message or leave one for them.

Let's call the cost per text message "x". If Cai spent $1.80 to send 12 text messages, we can set up the following equation:

x * 12 = $1.80

Solving for x, we get:

x = $1.80 / 12 = $0.15

So the cost per text message is $0.15. To send 90 text messages, the cost would be:

x * 90 = $0.15 * 90 = $13.50

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Answer:

19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

f(x)= 2x^2 +1, x=3

f(3)= 2(3)^2 +1

f(3)= 2(9) +1

f(3) = 18 +1

f(3) =19

i hope this helps!

Answer:

  y = (4 -x)e^-2

Step-by-step explanation:

You want an equation of the tangent line to the graph of f(x) = xe^−x at its inflection point.

The inflection point on a curve is the point where the second derivative is zero, where the curve changes from being concave downward to concave upward, or vice versa.

We can use the product rule to differentiate f(x):

  (uv)' = u'v +uv'

  f'(x) = 1·e^-x +x·(-1)(e^-x) = (e^-x)(1 -x)

Then the second derivative is ...

  f''(x) = (-e^-x)(1 -x) +(e^-x)(-1) = (e^-x)(x -2)

The second derivative is zero where one of its factors is zero. e^-x is never zero, so we have ...

  (x -2) = 0   ⇒   x = 2

The point of inflection occurs at x = 2.

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For this problem, we have ...

  m = f'(2) = (e^-2)(1 -(2)) = -e^-2

  (h, k) = (2, f(2)) = (2, 2e^-2)

So, the equation of the tangent line is ...

  y -2e^-2 = -e^-2(x -2)

In slope-intercept form, this is ...

  y = (-e^-2)x +4e^-2

__

Additional comment

We can rearrange the equation to ...

  y = (4 -x)e^-2

Usually a tangent line touches the graph, but does not cross it. The tangent at the point of inflection necessarily crosses the graph.

Answer:

x = 21

Step-by-step explanation:

1/3(x + 6) = 1/2(x - 3)

(3)1/3(x + 6) = (3) 1/2(x - 3) - multiply both sides by 3 to get rid of the 1/3

x + 6 = 3/2(x - 3)

x + 6 = 3/2 (-9/2) - i distributed the 3/2 into the parenthesis

x + 6 (2) = 3/2 (-9/2) (2) - multiply each side by 2 to get rid of the fractions

2x + 12 = 3x - 9

2x - 3x = -12 -9 - bring the x to one side

-x = -21

-x/-1 = -21/-x

x = 21

Answer:

\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)

Answer:

sorry bro ion know it i just need points for my testg.

Step-by-step explanation:

Answer:

It will drop 16.875 degrees

Step-by-step explanation:

3.75 × 4 = 15

.5 × 3.75 1.875

Answer:

-16.875

Step-by-step explanation:

This equation is quite simple and will only require one equation to solve. This is the equation,

-3.75×4.5=-16.875

The final answer is -16.875

Answer:

81x to the power of 5 y to the power of 30 over 125

Step-by-step explanation:

u basically simplify the entire expression.

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the number is 3

Step-by-step explanation:

X= the number

7(x+9) = 84

7x+63 = 84

7x = 21

x=3

     Check:

    7(3+9) =84

      7 x12 = 84

       84=84

Answer:

1428 in³

Step-by-step explanation:

To find the volume of this figure, we will need to use two formulas. The volume of a Rectangular Prism \((A=l*w*h)\) and volume of a triangular prism.

\((A=\frac{1}{2} (b*h )\)

If we look at the Rectangular Prism, we can find that l = 17, w = 8, and h = 5. Multiply these to find the volume:

17 × 8 × 5 = 680 in³.

Solving for the triangular prism gives us:

A = 1/2 (11 ×  8 × 17)

A = 748.

Add these two volumes to find the volume of the composite figure:

748 + 680 = 1428 in³

Hope this helps!

(THERE ARE NO LINKS STOP REPORTING ME)

The mean of 2X+3Y is 10, the variance of 2X+3Y is 28, the joint density fXY(x, y) is given by fXY(x, y) = 1/8 * e^(-2y) for 0 ≤ x ≤ 4 and y > 0, P(X > Y) = 5/8, the characteristic function ψX(w) for variable X is ψX(w) = (e^(4iw) - 1)/(4iw), the characteristic function ψY(w) for variable Y is ψY(w) = 2/(2 - iw), the characteristic function ψZ(w) for variable Z = X + Y is ψZ(w) = (e^(4iw) - 1)/(4iw) * 2/(2 - iw).

a) The mean of 2X+3Y can be calculated by finding the mean of each variable and then applying the linearity of expectation. The mean of X is (0+4)/2 = 2, and the mean of Y is 1/λ = 1/2. Therefore, the mean of 2X+3Y is 2(2) + 3(1/2) = 10.

b) To find the variance of 2X+3Y, we need to calculate the variances of X and Y and apply the property of independent random variables. The variance of X is ((4-0)^2)/12 = 4/3, and the variance of Y is (1/λ^2) = 1/4. Since X and Y are independent, the variance of 2X+3Y is 2^2 * (4/3) + 3^2 * (1/4) = 28.

c) The joint density fXY(x, y) can be obtained by considering the probability density functions (PDFs) of X and Y, and their independence. Since X is a continuous uniform random variable over [0, 4], its PDF is fX(x) = 1/4 for 0 ≤ x ≤ 4. Y is an exponential random variable with parameter λ = 2, so its PDF is fY(y) = 2e^(-2y) for y > 0. Since X and Y are independent, the joint density fXY(x, y) is the product of their individual PDFs: fXY(x, y) = fX(x) * fY(y) = (1/4) * (2e^(-2y)) = 1/8 * e^(-2y) for 0 ≤ x ≤ 4 and y > 0.

d) P(X > Y) can be calculated by finding the region in the (x, y) plane where X > Y and integrating the joint density over that region. Since X and Y are independent, the joint density fXY(x, y) can be written as fX(x) * fY(y). The condition X > Y holds when 0 ≤ x ≤ y ≤ 4. Therefore, the integral becomes: P(X > Y) = ∫∫(0≤x≤y≤4) fXY(x, y) dx dy = ∫∫(0≤x≤y≤4) (1/8 * e^(-2y)) dx dy. Evaluating this integral yields P(X > Y) = 5/8.

e) The characteristic function ψX(w) for variable X

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Answer:

The points lie in

✔ the same quadrant

The distance is

✔ 4 units

Step-by-step explanation:

the same quadrant

4 units

The  distance between the two points (1, 2) and (5, 2) is 4 units. And both the points (1, 2) and (5, 2) lie in the same quadrant.

Distance between two points is the length of the line segment that connects two given points.

\(d = \sqrt{(x_{2}-x_{1} ^{2}) +(y_{2}-y_{1} ) ^{2} }\)

According to the given question

We have

Two points

(1, 2) and (5, 2)

Let,

\((x_{1},y_{1}) = (1, 2)\)

And, \((x_{2},y_{2} ) = (5,2)\)

Therefore,

The distance between the points (1,2) and (5, 2)

= \(\sqrt{(5-1)^{2} +(2-2)^{2} }\)

\(=\sqrt{(4)^{2}+0 }\)

\(=4\) unit.

Hence, the  distance between the two points (1, 2) and (5, 2) is 4 units.

Since, the x coordinate and y coordinate of both the points (1,2) and (5, 2) are positive. Therefore, they both lie in the first quadrant. Hence, the points lie in the same quadrant.

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Answer:

See below.

Step-by-step explanation:

\(\cot(x-\frac{\pi}{2})=-\tan(x)\)

Convert the cotangent to cosine over sine:

\(\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)\)

Use the cofunction identities. The cofunction identities are:

\(\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)\)

To convert this, factor out a negative one from the cosine and sine.

\(\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)\)

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

\(\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)\)

Answer:

True

Step-by-step explanation:

A set of data with a mean of 39 and a standard deviation of 6.2 is normally distributed. 26.6 is the value, given its distance from the mean -2 standard deviations.

X is the value of standard deviation away from the mean.

X = \(\mu+Z\sigma\)

Given, mean = 39

standard deviation = 6.2

distance from the mean =Z = -2

X = \(\mu+Z\sigma\) = 39 -2 * 6.2 = 26.6

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The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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The statement "This does not make sense because the mean and median should lie somewhere to the right of the mode if the distribution is left-skewed" is correct. The correct answer is B

In a left-skewed distribution, the mode is the highest point and it is located to the right of the median, which in turn is located to the right of the mean.

This is because the mean is influenced by extreme values on the left tail, which pull it to the left, whereas the median is unaffected by extreme values and is only determined by the middle value(s) in the data set.

Thus, if the mean, median, and mode are all the same in a left-skewed distribution, this indicates that the data set is either symmetric or approximately symmetric.The correct answer is B

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Each video game = $19 and each DVD = $ 32

An equation is a mathematical statement that represent that two expressions are equal. An equation can be formed by one or more variables along with numerical terms.

let, x denotes the cost of each video games.

y denotes the cost of each DVD

Katie bought 2 games and 3 DVD and total spent $134.

the equation can be written as 2x + 3y = $134 .......equation 1

Emily bought 1 less video game than Katie that means she bought 1 game.

 and    2 more DVD than Katie that means 5 DVD bought by Emily.

total spent of Emily = $179

The equation will be x + 5y = $179...... equation 2

in order to solve the two equations by addition method

we multiply by 2 to the second equation.

2x + 10y = 358

the first equation 2x +3y = 134

                             2x + 10y = 358

                            -       -          -

                    by subtracting we get,

                         - 7y = -224

                         y = 32

from the 2nd equation we get x = -5×32 + 179

                                       x = 19

each video game cost $ 19 and each DVD cost $ 32

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Your needs are essential expenses such as rent, utilities, groceries, and transportation.

These should be prioritized in your budget as they are necessary for your survival. On the other hand, your wants are non-essential expenses such as eating out, entertainment, and shopping. While it is important to treat yourself, it is also important to allocate a reasonable amount of money towards your wants. Needs and wants play a crucial role in creating a budget. A budget helps allocate financial resources according to one's priorities. Needs are essential items required for daily living, such as housing, food, and utilities. Wants are desires or non-essential items, like vacations or entertainment. While creating a budget, it's important to prioritize needs over wants to ensure financial stability. Understanding the difference between the two and allocating funds accordingly helps in maintaining a balanced lifestyle, promoting healthy spending habits, and achieving long-term financial goals. A well-structured budget ensures that you can fulfill both your needs and some wants within the allotted resources.

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Needs and wants play a vital role in creating a budget by helping you prioritize your spending, make trade-offs, and allocate your financial resources effectively. By considering both your essential expenses and desired extras, you can create a balanced budget that reflects your financial goals and values.

When creating a budget, your needs and wants play a crucial role in determining how you allocate your financial resources. Here's how they factor in:

Identifying Needs: Your needs are the essential expenses required for your basic well-being and survival. These typically include housing, utilities, food, transportation, healthcare, insurance, debt repayments, and other necessary expenses. Understanding your needs helps you prioritize allocating funds to cover these essential costs first. Ensuring your needs are met is the foundation of any budget.

Prioritizing Wants: Wants, on the other hand, are things you desire or would like to have but are not essential for your survival or basic well-being. This category includes discretionary expenses such as entertainment, dining out, travel, hobbies, luxury items, and other non-essential purchases. While wants are not as critical as needs, they contribute to your overall quality of life. Allocating a portion of your budget for wants allows you to enjoy these extras within your financial means.

Trade-offs and Decision Making: Budgeting requires making decisions about how to allocate limited resources. By considering your needs and wants, you can evaluate trade-offs between various expenses. If your needs are not being fully met within your current budget, you may need to reduce or eliminate some wants temporarily to ensure your essential expenses are covered. On the other hand, if your needs are comfortably met, you have more flexibility to allocate funds toward wants or savings.

Flexibility and Adjustments: Needs and wants can evolve over time. When creating a budget, it's important to regularly reassess and adjust it to align with your changing circumstances and priorities. For instance, if your income increases, you might have more room to allocate additional funds toward wants or savings. Similarly, if your needs change, such as due to a job loss or a new family member, you may need to make adjustments to ensure your budget remains sustainable.

In summary, needs and wants play a vital role in creating a budget by helping you prioritize your spending, make trade-offs, and allocate your financial resources effectively. By considering both your essential expenses and desired extras, you can create a balanced budget that reflects your financial goals and values.

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Answer:

The variable m is not a solution of the equation -2(2m-8)=-2(-6m-8);m=0. Give brainly if I helped!

Step-by-step explanation:

Answer:

C. 50

Step-by-step explanation:

Considering the time options, the bus takes 84 minutes to get from stop B to stop C and arrives at D:

1: 13:25

2: 14:06

3: 14:52

To estimate the arrival time at stop D, we shall find the corresponding time from stop B to stop C and sum it to the time at stop C.

From the table, the bus takes 84 minutes to get from stop B to stop C.

From the given time options, the possible times for the bus to travel from stop B to stop C are:

Option 1: 11:32 to 11:55 (23 minutes)

Option 2: 12:13 to 12:34 (21 minutes)

Option 3: 12:59 to 13:23 (24 minutes)

Let's calculate the arrival times at stop D, considering the 84-minute travel time from stop B to stop C.

Option 1:

Arrival time at stop B (11:32) + Travel time from B to C (84 minutes) = 11:32 + 1:24 = 12:56

Arrival time at stop D = 12:56 + 0:29 (time from stop C to stop D) = 13:25

Option 2:

Arrival time at stop B (12:13) + Travel time from B to C (84 minutes) = 12:13 + 1:24 = 13:37

Arrival time at stop D = 13:37 + 0:29 = 14:06

Option 3:

Arrival time at stop B (12:59) + Travel time from B to C (84 minutes) = 12:59 + 1:24 = 14:23

Arrival time at stop D = 14:23 + 0:29 = 14:52

Therefore, the arrival times at stop D, considering the 84-minute travel time from stop B to stop C, are:

1: 13:25

2: 14:06

3: 14:52

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Answer in standard form:  -2x-3y = 15

Answer in slope intercept form:   y = (-2/3)x - 5

This perpendicular line has slope -2/3 and y intercept -5

=============================================================

Explanation:

The given equation is in standard form Ax+By = C

We can see that A = 3, B = -2, and C = 3.

-----------------

Rule:

If we are given an equation in the form Ax+By = C, then anything perpendicular to this is of the form Bx-Ay = D. Note the swap of A and B, and the sign change.

Furthermore, note how Ax+By = C solves to y = (-A/B)+C/B so it has slope -A/B. We can also see that Bx-Ay = D solves to y = (B/A)x - D/A and this has slope B/A.

The original line has slope -A/B and the perpendicular slope has slope B/A. The two slopes multiply to -1 assuming that A,B are nonzero.

-----------------

With that rule set up, anything perpendicular to 3x-2y = 3 is of the form -2x-3y = D

To find the value of D, we plug in the coordinates of (x,y) = (3,-7) which is the point we want the perpendicular line to go through.

So,

-2x-3y = D

D = -2x-3y

D = -2(3)-3(-7) .... plug in x = 3 and y = -7

D = -6+21

D = 15

The equation of the perpendicular line in standard form is -2x-3y = 15

If you wanted to solve for y, and get the equation in slope intercept form, then follow the steps shown below.

-2x - 3y = 15

-3y = 2x+15

y = (2x+15)/(-3)

y = (2x)/(-3) + 15/(-3)

y = (-2/3)x - 5   which is slope intercept form

The slope of this perpendicular line is -2/3, while the slope of the original line is 3/2. The two slopes multiply to -1.

Cost of washer: $720

Cost of dryer: $240

I've taken this test before and got it right, so you're good :)

The value of x from the given five integers is 34.

Here we have to find the value of x.

Data given:

Five positive number = 31, 58, 98, x, x

The mean is 1.5 times the mode.

Mean = (31 + 58 + 98 + x + x) / 5

         = (187 + 2x) / 5

Mode = x

As the mean is 1.5 times the mode so from this we have:

mean = 1.5 × mode

(187 + 2x)/ 5 = 1.5x

187 + 2x = 7.5x

5.5x = 187

x = 34

Therefore the value of x is 34.

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