You are interested in finding a 90% confidence interval for the average number of names that people can correctly recall after being introduced to 40 people at a party. Based on past research, you know that the standard deviation for this number is 6.34 names. Suppose you surveyed 55 randomly selected people and found that they correctly remembered an average of 18.16 names. The standard deviation for this group was 4.28 names. Round your answers to two decimal places.

A. The sampling distribution follows a __________ distribution.

B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between ______ and _______

C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About _____ percent of these confidence intervals will contain the true population mean number of names remembered and about ______ percent will not contain the true population mean number of names remembered.

Answer:

19

Step-by-step explanation:

if x=5 and y = 4 then

5(x)-2(y)+2

= 5×(5) -2×(4) +2

= 25-8+2

=19

Answer:

D. All whole numbers less than or equal to 31

Step-by-step explanation:

The x value in this situation is the number of years after 1970 and until 2001.

This means that the domain will be the number of years after 1970 and until 2001.

Since the situation calculates the value of land in years after 1970, the domain will start at 0. Since it is until 2001, which is 31 years after 1970, the domain will go up to 31.

So, the domain will include all whole numbers less than or equal to 31.

The correct answer is D. All whole numbers less than or equal to 31

The domain of the function is a real number from 1971 to 2001. Then the correct option is B.

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The value of a piece of land in a town is increasing every year.

Its value, in dollars, in t years after 1970 and until 2001 can be modeled by the function

\(\rm y = 31, 000(1.001) ^ t\)

Then the domain of the function will be

All real numbers are greater than or equal to 1971 and less than or equal to 2001.

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Answer: angle A is none of those

Step-by-step explanation:

the sum of all angles in a triangle = 180

one of the triangles is 90

we can form an equation:

90 + (x+69) + (x+39) = 180

90 + 2x + 108 = 180

198 + 2x = 180

2x = 180 - 198

2x = -18

x = - 9

angle A = x+39

substitute x = -9

angle A = -9 + 39 = 30

so angle A is none of those

Answer:

3 cup

Step-by-step explanation:

Answer:

Step-by-step explanation:

 From \(\frac{1}{8}\) cup of yoghurt  Arianys can   make  = 1  smoothie

From 2  cup of yoghurt  Arianys can  make  = \((\frac{1}{1/8} ) *2\)  smoothie  

From 2  cup of yoghurt  Arianys can  make  = 16 smoothie  

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Answer:

the answer is A

Step-by-step explanation:

Answer: 7.2

Step-by-step explanation: 2.4(3) is really just 2.4 * 3 so 2.4 times 3 is 7.2.

Answer:

13.824

Step-by-step explanation:

Raise 2.4 to the power of 3.

Answer:

180psi

Step-by-step explanation:

Step one:

given data

P1= 900 psi

T1= 350°C

P2=?

T2=70°C

Required

The final pressure P2

Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up

Applying the expression

P1/T1= P2/T2

substitute:

900/350= P2/70

2.57=P2/70

cross multiply

P2= 2.57*70

P2=180psi

The coordinates of point b' after the translation are (x-4, y-3).

To find the coordinates of b' after the translation, we need to subtract 4 units from the x-coordinate of b and 3 units from the y-coordinate of b.

Let's say the original coordinates of point b are (x, y).

After the translation, the new x-coordinate of b' will be x-4, and the new y-coordinate of b' will be y-3.

So, the coordinates of b' are (x-4, y-3).

To find the coordinates of b' after the translation, we need to apply the translation rules.

When a point is translated to the left or right, we add or subtract the same value from its x-coordinate. And when a point is translated up or down, we add or subtract the same value from its y-coordinate.

In this case, the translation is 4 units to the left and 3 units down.

Let's say the original coordinates of point b are (x, y).

To find the new x-coordinate of b' after the translation, we subtract 4 units from the x-coordinate of b:

x - 4

To find the new y-coordinate of b' after the translation, we subtract 3 units from the y-coordinate of b:

y - 3

So, the coordinates of b' are (x-4, y-3).

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The population in this scenario consists of all employees in the firm, which totals 4,500 individuals. The sample is a subset of the population, specifically 60 randomly selected employees who are part of a committee evaluating the implementation of sensitivity training.

the population refers to the entire group of employees in the firm, which consists of 4,500 individuals. The sample, on the other hand, is a smaller group of 60 employees who have been randomly selected to form a committee. This committee's purpose is to evaluate the proposal of implementing sensitivity training online instead of the current in-person format.

The sample of 60 employees is chosen in a random manner to ensure representativeness and minimize potential bias. By selecting a subset of the population, the committee can provide insights and perspectives that are representative of the larger employee base. Each committee member will have the opportunity to vote "yes" or "no" on the proposal, and their votes will be used to determine the overall sentiment of the committee regarding the implementation of online sensitivity training.

It's important to note that the sample of 60 employees is being used as a representative group to make inferences about the entire population.

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Answer:

-5

Step-by-step explanation:

y=mx+b

m is the slope

y=-5x-1

the slope is -5

Answer:

-5

Step-by-step explanation:

.

The equation for the volume of a trapezoidal prism V = 1/2a(b + c)h can be solved for b as b = (V ÷ 1/2ah) - c

V = 1/2a(b + c)h

V = 1/2ah(b + c)

divide both sides by 1/2ah

V ÷ 1/2ah = (b + c)

Subtract c from both sides

(V ÷ 1/2ah) - c = b

This can be written as

b = (V ÷ 1/2ah) - c

Therefore, the trapezoidal prism equation can be solved for b as b = (V ÷ 1/2ah) - c

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Answer:

9 cakes

Step-by-step explanation:

If each of the 17 people will eat 1/2 of a cake, you would 17*1/2 cakes. This is 17/2, or 8.5. You cannot usually order 8.5 cakes, so you would round up. 9 cakes.

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

v=728ft^3

Step-by-step explanation:

Answer:

728 ft^3.

Step-by-step explanation:

7 * 8 * 13

= 728 ft^3.

Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)

Use tangent:

tan x = 8/15

x = arctan (8/15)

x = 28.1° (rounded)

Step-by-step explanation:

first of all you have to draw a rhombus

area (d+d)/2

(4+6)/2

5

Answer:

The standard form is just another way to write this equation, and is defined as Ax + By = C, where A, B, and C are real numbers, and A and B are both not zero (see note below about other requirements). As you will see in the lesson below, every line can be expressed in this form.

The "Standard Form" of an equation is: (some expression) = 0 In other words, "= 0" is on the right, and everything else is on the left. Example: Put x 2 = 7 into Standard Form

Step-by-step explanation:

sorry look up example image for standard form

Answer:

Correlation

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

since one y is positive and the other is negative, they cancel eachother out,    making 3x=3. 3/3=1

1/18

Step-by-step explanation:

\( \frac{1}{3} \times \frac{1}{6} = \frac{1}{18} \)

Answer:

9)  17 miles/hr

10)  7.14 miles

Step-by-step explanation:

See the attached worksheet.  Note the use of conversion factors.  In question 9 we want to convert minutes to hours.  We know there are 60 minutes/hr.  So we can set up a conversion factor in one of 2 ways:  (60 minutes/1 hr) or (1 hr/60 minutes).  Both are valid, and both are = 1, since the numerator and denominator are both equivalent.  This means we can invert a conversion factor and it is still = 1.  Since conversion facots are equal to 1, we can multiply them times anything, and the result is numerically the same (anything times 1 = anything) and only the units have changed.  For question 9, we want to convert miles/min to miles/hr.  I'll choose the conversion factor (60 min/1 hr), mostly because I like multiplication over division.  Note how the units cancel in the attachment, resulting in 17 miles/hr.  One may also use the factor (1hr/60min), but then a division is required.  Perfectly fine, but not my preferred route.

The same approach is used to answer question 10.  Again, note how he units cancel, leaving a number wth just the units desired,

Answer:

112

Step-by-step explanation:

Everything is multiplied by 8

Answer:112

Step-by-step explanation:

Took quiz

The solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

As per data the system of linear equations,

\(\[ \left\{\begin{array}{c} x+2 y+3 z=9 \\ 2 x-y+z=8 \\ 3 x-z=3 \end{array}\right. \] 1)\)

Write the system in the matrix form \(\( A . X=B \)\)

We know that the matrix form of the system of linear equations is as follows.

\(\[A. X = B\]\)

Where

\(\[A=\begin{pmatrix} 1 & 2 & 3 \\ 2 & -1 & 1 \\ 3 & 0 & -1 \end{pmatrix}\[X=\begin{pmatrix} x \\ y \\ z \end{pmatrix}\]\)

and

\(\[B=\begin{pmatrix} 9 \\ 8 \\ 3 \end{pmatrix}\]2)\)

To solve the system, we can use row reduction method.

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 2 & -1 & 1 & 8 \\ 3 & 0 & -1 & 3 \end{pmatrix}\]\)

Applying the elementary row operations

\(\[R_{2}\to R_{2}-2R_{1}\]\)

and

\(\[R_{3}\to R_{3}-3R_{1}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & -6 & -10 & -24 \end{pmatrix}\]\)

Now applying the elementary row operations

\(\[R_{3}\to R_{3}-(6/5)R_{2}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & 0 & -1 & -2 \end{pmatrix}\]\)

Now, we need to apply back substitution method. Using the third row, we can get the value of z as z = 2.

Now, using the second row,

\(\[-5y - 5z = -10\]\\\-5y - 5(2) = -10\]\)

Solving this equation, we get y = 0.

Finally, using the first row, we can get the value of x as

\(\[x + 2y + 3z = 9\]\\x = 3\]\)

Hence, the solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

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Answer:

1. biased sample: sample not representative of the entire population

2.convenience sample: sample where representatives are easily accessible

3.unbiased sample: sample where every member of the population has an equal chance

4. self-selected sample: sample where members volunteer to take part

5. stratified sample: members are selected from the different subgroups within a population

6. systematic sample: sample members are selected through the use of a rule.

Hope this helps!!

1. biased sample: sample not representative of the entire population

2.convenience sample: sample where representatives are easily accessible

3.unbiased sample: sample where every member of the population has an equal chance

4. self-selected sample: sample where members volunteer to take part

5. stratified sample: members are selected from the different subgroups within a population

6. systematic sample: sample members are selected through the use of a rule.

Hope this helps!!

The correct answers are: c) vomiting and d) weight loss. Gastroesophageal reflux can cause frequent vomiting, which can lead to weight loss in infants.

A nurse caring for an infant with gastroesophageal reflux may observe the following findings associated with this condition:
b) wheezing
c) vomiting
d) weight loss

Infants and children diagnosed with gastroesophageal reflux should not sit or lie down immediately after a meal; patients will be advised to lie face down for at least the first hour after a meal; Sleeping in this position has been shown to reduce the frequency of gastroesophageal reflux. Expressed milk can be thickened as described, in addition to increasing the frequency of feedings; in addition, early teaching (at three (3) months) to eat rice can be attempted; small meals are also recommended; oily and spicy. foods that promote postprandial reflux by increasing gastric emptying and slowing digestion; Chocolate, mint, tomato, citrus fruits, and caffeine should be avoided, which lowers LES pressure.

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RS = RT + TS = 24 cm

Let's plug our values into the equation above

24cm = 6x - 4 + 10cm

Combine like terms

24 cm = 6x + 6 cm

Subtract 6 cm from both sides

18 cm = 6x

Divide both sides by 6

3 = x

Plug 3 into the expression for RT

RT = 6(3) - 4 = 18 - 4 = 14 cm

Similarly, we know that TS = 10 cm and RS = 24 cm

24 cm - 10 cm = 14 cm

RT = 14 cm

14 cm = 6x - 4

Add 4 to both sides

18 cm = 6x

Divide both sides by 6

3 = x

The inclusion probability for unit 6 in a PPS sampling without replacement at the PSU level is calculated by dividing its size measure by the cumulative size measure, and then multiplying the result by the desired number of PSUs to be selected.

To determine the inclusion probability for unit 6 in a two-stage Probability Proportional to Size (PPS) sampling without replacement at the Primary Sampling Unit (PSU) level, follow these steps:

1. Calculate the size measure (e.g., population) for each PSU in the sampling frame.
2. Calculate the cumulative size measure for all PSUs.
3. Divide the size measure of unit 6 by the cumulative size measure to obtain the selection probability for unit 6.
4. Multiply the selection probability by the desired number of PSUs to be selected (e.g., n) to find the inclusion probability for unit 6.

In summary, the inclusion probability for unit 6 in a PPS sampling without replacement at the PSU level is calculated by dividing its size measure by the cumulative size measure, and then multiplying the result by the desired number of PSUs to be selected.

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