can you help me on the bottom part pls

The MMPI-2 test is used for the assessment of psychopathology and personality of patients.

It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.

A score of 30 or less is usually considered very low.

The questions are answered by the patient, usually in a clinical or research setting.

A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.

The following are the parameters of the one-sample t-test:Groups:

18 participants

Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30

Type of test: One-tailed test

Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.

Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734

Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5

If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).

For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13

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limₙ→∞bₙ= 4*e^(limₙ→∞ [ln(1+1/n)/n]/[1/n^2]) = 4*e^(limₙ→∞ (1/(n*(1+n))^2)) = 4*e^(0) = 4Therefore, the limit of the sequence using L'Hospital's rule is 4.

The given sequence is bₙ = 4n ln (1 + 1/n).

To determine the limit of the sequence bₙ using L'Hospital's rule, we follow the steps given below:

Step 1: We have to find the limit of the sequence bₙ in the given form.

That islimₙ→∞bₙ= limₙ→∞[4n ln(1 + 1/n)]

Step 2: We will simplify the above expression to get an indeterminate form 0/0 using the formula n ln (1 + 1/n) = ln [(1 + 1/n)^n].Therefore, limₙ→∞bₙ= limₙ→∞[4 ln(1 + 1/n)^n] / [1/(4n)]

We can rewrite the above expression as below using the exponential function. limₙ→∞bₙ= 4 limₙ→∞ [(1 + 1/n)^n]^(4/n)

Step 3: We evaluate the limit on the right-hand side of the above equation.

It is known as e^(limₙ→∞ (4/n)*ln(1+1/n)).Therefore, limₙ→∞bₙ= 4*e^(limₙ→∞ (4/n)*ln(1+1/n))The above limit is of the form 0 * ∞.

We can apply L'Hospital's rule for this case. We take the natural logarithm of the denominator and numerator and differentiate with respect to n.

We can write the new limit as below,limₙ→∞ (4/n)*ln(1+1/n)=limₙ→∞ (ln(1+1/n)/n)/(1/n^2)

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The number that is not equal to the others is d.

a. 0.84% is equal to 0.0084 in decimal form.

b. (0.21)(0.04) is equal to 0.0084.

c. 8.4 * \(10^-^2\) is equal to 0.084. This is the same as 8.4 divided by 100, which is 0.084.

d. This is the number that is not equal to the others. We don't have the value of d.

e. 21/25 * \(10^-^2\) is equal to 0.0084. When we divide 21 by 25 and multiply the result by \(10^-^2\), we get 0.0084.

To summarize, all of the given numbers (a, b, c, and e) are equal to 0.0084 except for d, which doesn't have a specified value. Therefore, d is the number that is not equal to the others.

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Answer:

9 years

Step-by-step explanation:

by using the formula :

20,000(1 + 0.08) ^n = 40,000

=> (1.08)^n = 40,000/20, 000

(1.08) ^n = 2

n = 9

\(\\ \rm\Rrightarrow P(1+r)^n=I\)

\(\\ \rm\Rrightarrow 20000(1+0.08)^n=40000\)

\(\\ \rm\Rrightarrow (1.08)^n=2\)

\(\\ \rm\Rrightarrow log(1.08)^n=log2\)

\(\\ \rm\Rrightarrow nlog1.08=log2\)

\(\\ \rm\Rrightarrow n(0.033)=0.3\)

\(\\ \rm\Rrightarrow n=3(3)=9\)

Answer:

B

Step-by-step explanation:

Its to protect the rights of citizens so that the central government doesnt gain too much power to themselves

A seam or edge is an obvious line where the foundation starts or stops. This term refers to a clear boundary or distinction between two areas or surfaces, such as when applying makeup.

A seam or edge is an obvious line where the foundation starts or stops. These lines indicate the boundary of where foundation makeup should be applied or where it should end. It is important to blend the foundation seamlessly into the skin to avoid any noticeable lines or streaks. Additionally, applying a primer beforehand can help smooth out the skin's texture and create a more even base for foundation application. By taking the time to properly blend and apply foundation, you can achieve a flawless, natural-looking complexion.
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The equation represents the total cost of turkey and amount is y= 3.25x.

We have,

The turkey costs $3. 25 per pound.

let x be the amount in pounds and y be the total cost in dollar.

Then, the relation between x and y

Total cost = 3.25 (amount in  poind)

y = 3.25 x

Thus, the required equation is y= 3.25x.

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Answer:

i am so sorry i cant help

Step-by-step explanation:

Answer:

Step-by-step explanation:

Consider a utlity bill which shows a minimum initial cost plus variable costs dependent upon how many units are sold.

Then:  total cost ≥ (fixed cost) + (unit cost)(number of units sold)  

This involves the "equal to or greater than" concept.

Answer:

Rotation about 180*

Translation about 7 units to the right and 8 down

Step-by-step explanation:

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today! I hope you are having a nice day.

So we can solve this in one single step, I'll start off with solving it.

So first we know that \(AB=DF\) and of which \(DF\) is the Hypotenuse of triangle \(DE F\).

Since the hypotenuse is equal to one of the legs of the 2nd triangle, we cannot use any rule that has Side in it as they are both not really getting us anywhere.

We do know that \(<ABC=<DE F\) as they are both 90 degrees.

As we don't have enough proof, these triangles are not congruent as we would need to do/prove rule RHS.

Cheers!

One car travel South at 64 mi/h and the other travels west at 48 mi/h. The distance between the cars increases with rate at 80 mi/h.

To find the rate of change, we need to find the derivative of the variables with respect to time.

Let:

p = distance between 2 cars

q = distance between car 1 and the start point

r = distance between car 2 and the start point

Using the Pythagorean Theorem:

p² = q² + r²

Take the derivative with respect to time:

2p dp/dt = 2q dq/dt + 2r dr/dt

dq/dt = speed of car 1 = 64 mi/h

dr/dt = speed of car 2 = 48 mi/h

The distance of car 1 and car 2 from the start point after 4 hours:

q = 64 x 4 = 256 miles

r = 48 x 4 = 192 miles

Using the Pythagorean theorem:

p² =256² + 192²

p = 320 miles

Hence,

2p dp/dt = 2q dq/dt + 2r dr/dt

p dp/dt = q dq/dt + r dr/dt

320  x dp/dt = 256 x 64 + 192  x 48

dp/dt = 80

Hence, the distance between the cars increases with rate at 80 mi/h

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The number of bits transferred or received per unit of time is referred to as the "bit rate."

The term "bit rate" refers to the rate at which bits of data are transferred or received in a given unit of time. It measures the speed or capacity of a digital communication channel to transmit information.

Bit rate is typically expressed in bits per second (bps) or multiples thereof, such as kilobits per second (Kbps) or megabits per second (Mbps). It represents the amount of data that can be transmitted or received in a specific timeframe.

For example, a bit rate of 1 Mbps means that one million bits can be transferred or received in one second. Higher bit rates indicate a faster data transmission or reception capability.

Bandwidth, on the other hand, refers to the capacity of a communication channel to carry data and is typically measured in hertz (Hz). It represents the range of frequencies that can be transmitted through the channel.

Wireless fidelity (Wi-Fi) is a technology standard that enables wireless local area networking. While Wi-Fi can be used to transmit data wirelessly, the specific term for the rate at which data is transferred or received is still referred to as the "bit rate."

In summary, the term "bit rate" accurately describes the number of bits transferred or received per unit of time in a digital communication system.

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Answer:

Step-by-step explanation:

Not sure

Answer:

16 × 10^-7

Step-by-step explanation:

(8x10^-3)x(2x10^-4) = 8×2× 10^(-4+-3)

= 16 ×10^-7

Answer:  $36 per rosebush without the discount

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

Explanation:

x = full price for one rosebush

x-12 = discount price (saving $12) for each rosebush

4(x-12) = total for buying four rosebushes at the discount price

4(x-12) = 96 since she paid $96 overall through the discount

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

Let's solve for x

4(x-12) = 96

x-12 = 96/4

x - 12 = 24

x = 24+12

x = 36

Or you could solve like this

4(x-12) = 96

4x-48 = 96

4x = 96+48

4x = 144

x = 144/4

x = 36

Either way, the full original price per rosebush was $36

Saving $12 per rosebush means she actually paid 36-12 = 24 dollars per plant instead. Then note how 24*4 = 96 to help fully confirm we have the correct x value, and it confirms the correct answer.

Mike works 39 hours per week at Job A and 20 hours per week at Job B.

We need to formulate some expressions here.

Let:

Hours Mike works at Job A = x

Hours Mike works at Job B = y

We know that:

x + y = 59 ---------- equation 1

We also know that he makes $6 per hour at Job A, and $7 per hour at Job B, and his total pay is $374. So we can set up another equation based on his total pay:

6x + 7y = 374 --------- equation 2

Now we have two equations with two unknowns, which we can solve simultaneously.

Using substitution method:

solve for x in terms of y:

x = 59 - y

We can substitute this expression for x into equation 2:

6(59 - y) + 7y = 374

Simplifying and solving for y:

354 - 6y + 7y = 374

y = 20

So Mike works 20 hours per week at Job B. We can substitute this value for y into equation 1 to find x:

x + 20 = 59

x = 39

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The employee that receives the largest percentage of their gross pay in employee benefits is Marcel.

The percentage of employee benefits to total gross pay for each worker has to be determined.

Percentage = (total job benefits / gross pay) x 100

Emily: (33,600 / 32,600) x 100 = 103.07%

Jack: (34,700 / 33,700) x 100 = 102.97%

Judy: (33,900 / 33,400) x 100 = 101.5%

Marcel: (34,000 / 32,900) x 100 = 103.43%

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49.2 calories are in  would that contribute per serving .

What does a calorie mean ?

Carbohydrates provide 4 calories per gram.

              1 gm Carbohydrates = 4 calories

 then 12.3 gm Carbohydrates  = 12.3 * 4

                                             = 49.2 calories

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Answer:

52 teachers

Step-by-step explanation:

27x+2x=754

29x=754

x=26

2(26)=52

The number of teachers are 52.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Total number of people = 754

The ratio of students to teachers = 27:2

Let x be the number of people

then,

⇒ \(27x+2x=274\)

⇒ \(29x=274\)

⇒ \(x=\frac{274}{29}\)

⇒ \(x=26\)

Thus number of students = \(27x\)

⇒ \(27(26)=702\)

and number of teachers = \(2x\)

⇒ \(2(26)=52\)

Hence we can conclude that the number of teachers are 52.

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To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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In a sample of 10,000 observations from a normal population, about 27 would be expected to lie beyond three standard deviations of the mean, therefore, the correct option is b.

For a normal distribution, about 99.7% of the data is expected to lie within three standard deviations of the mean. This is known as the empirical rule or the 68-95-99.7 rule.

Using this rule, we can estimate the number of observations beyond three standard deviations of the mean for a sample of 10,000. Since the distribution is normal, we know that the mean and standard deviation completely describe the distribution.

Assuming the sample is representative of the population, we can use the empirical rule to estimate the number of observations beyond three standard deviations of the mean. Since three standard deviations from the mean cover 99.7% of the data, the remaining 0.3% of the data would be expected to lie beyond three standard deviations.

Therefore, the correct answer is c. about 27, since 0.3% of 10,000 is approximately 27.

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The bucket number 2 will contain 45 after sorting the data.

According to the statement

we have given that the a data list which is sorted into 4 buckets then we have to find he in which the umber 45 is sorted.

So, For this purpose,

The given data list is:

76, 56, 93, 24, 45, 88, 13, 7, 37

And the data is sorted into the buckets so,it is sorted in 4 buckets. and the data contain numbers from 0 to 100.

So, let the sorting.

We know that the 100 numbers are sorted in 4 buckets then it means each bucket contain 25 numbers.

So, let us consider a

BUCKET 1 : 0 to 25

it contains the data number 7, 13,24.

Now,

BUCKET 2 : 25 to 50

it contains the data number 37,45.

Now,

BUCKET 3 : 50 to 75

it contains the data number 56.

Now,

BUCKET 4 : 75 to 100

it contains the data number 76, 88, 93.

From sorting the 45 number sort in the bucket 2.

So,The bucket number 2 will contain 45 after sorting the data.

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Answer:

78 adult tickets were sold that day

Step-by-step explanation:

The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.

Let's begin the iterations:

Iteration 1:

\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)

The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).

Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)

Iteration 2:

\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)

The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).

After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).

Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

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The correct statement regarding the measure of center on the box plot is given as follows:

The median is the best measure of center, and it equals 19.

A box and whisker plots shows these five features from a data-set, listed as follows:

From the box plot described in this problem, the measures are given as follows:

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To construct a frequency table and generate the appropriate graph in SPSS, follow the below steps:

Step 1: Open SPSS and enter the data into a new data sheet.

Step 2: Click on Analyze and then Descriptive Statistics and then Frequencies.

Step 3: In the Frequencies dialog box, select the variable(s) of interest, i.e., the number of times participants blinked in one minute in this case.

Step 4: Click on Charts, which will bring up the Frequencies: Charts dialog box.

Step 5: Choose the Histogram option from the list of options in the Frequencies: Charts dialog box.

Step 6: Choose the desired options for the histogram and click OK to create a histogram.

Step 7: Once you have the histogram, right-click on it and select Edit Content > Data Properties > Data Type.

Change the Data Type to Frequency and click OK to see the frequency table and the histogram. To construct the frequency table, follow the below steps:

Step 1: Open SPSS and enter the data into a new data sheet.

Step 2: Click on Analyze and then Descriptive Statistics and then Frequencies.

Step 3: In the Frequencies dialog box, select the variable(s) of interest, i.e., the number of times participants blinked in one minute in this case.

Step 4: Click on the Statistics button in the Frequencies dialog box.

Step 5: In the Statistics dialog box, select the following options: Mean, Median, Mode, Std. Deviation, Minimum, Maximum, and Range.

Step 6: Click OK to create the frequency table and get all the statistics.

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