A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statistical methods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 12 nursing students from Group 1 resulted in a mean score of 59.7 with a standard deviation of 2.8. A random sample of 15 nursing students from Group 2 resulted in a mean score of 64.7 with a standard deviation of 8.3. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2? Let µ1 represent the mean score for Group 1 and µ2 represent the mean score for Group 2. Use a significance level of α = 0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.Step 1: State the null and alternative hypotheses for the test.Step 2: Compute the value of the t test statistic. Round your answer to three decimal placesStep 3: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places. Reject or fail to reject your hypothesis?

The minimum amount of plastic wrap needed to completely wrap 8 containers is  794. 4 in². Option D

The area of each circular end is:

A = πr²

A = 3.14 × (2.75)²

A = 23.68in²

The area of the rectangular side is:

A = h * circumference

circumference = 5.5in * π

circumference = 17.27in

Using the given height of 3 inches, we get:

A = 3in * 17.27

A = 51.81in²

Therefore, the total surface area of each container is:

A = 2 * 23.68 + 51.81

A = 98.17in²

To wrap 8 containers, we need to multiply the surface area of each container by 8:

Total surface area = 8 × 98.17

Total surface area = 794. 4 in²

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Answer:

maximum -1 minimum -7 amplitude 6 midline -4

Step-by-step explanation:

Answer:

The ordered pairs all have -coordinates of −, and the points lie along a vertical line above and below − on the -axis

Step-by-step explanation:

Answer:

Point W

Step-by-step explanation:

Answer:

point W

Step-by-step explanation:

i did edge

The missing number to complete the linear equation is 89 and the equation that gives the rule for this table is; y = x + 89

The equation of a line in slope intercept form is expressed as;

y = mx + c

where;

m is slope

c is y-intercept which is the point at which x = 0

From the table given, we see the coordinates as;

(1, 90), (2, 91), (3, 92), (4, 93)

Thus, we can easily say that the coordinate that precedes (1, 90) must be (0, 89)

Thus, the y-intercept is 89 and since the slope is 1, the equation of the line is; y = x + 89

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Answer:

letter c the BD= 10

Step-by-step explanation:

Answer:

BD=10

Step-by-step explanation:

1. BAD=BCD=60

Therefore

BA = BC (sides opposite to equal angles are equal)

BA=20

Therefore BC=20

2.BAC+BCA+ABC=180(sum of the interior angles of a triangle is 180)

60+60+ABC=180

ABC=180-120

ABC=60

ABC=BAC=BCA

Therefore ABC is an equilateral triangle

AC=20

4. AC=AD+DC

AD=DC (BD is a perpendicular bisector)

Therefore

AC=2×AD

AC=20

20=2×AD

AD=20÷2

AD=10

Hope this helps!

To make informed decisions about budget allocation and cost management, the director should consider this relationship between the number of procedures and unit cost.

The director of surgery at a local hospital aims to understand the unit's costs by analyzing data from the past 36 months, including unit cost (labor, supplies, etc.) and the number of procedures performed.

The assistant used a spreadsheet program to analyze this data and obtained an R2 value of 0.253.

This indicates that 25.3% of the variation in unit cost can be explained by the number of procedures performed. The unit plans to perform an average of 17,000 procedures per month in the upcoming year.

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Answer:

0.068

Step-by-step explanation:

calculator

Answer:

0.068

0.4x0.17= 0.068

Step-by-step explanation:

Answer:

5000 km

Step-by-step explanation:

We are given that

3 cm represents on a map of  a town=150 m

Distance between two points=1 km

We have to find the distance between two points on the map.

3 cm represents on a map of  a town=150 m

1 cm represents on a map of  a town=150/3 m

1 km=1000 m

1 m=100 cm

\(1km=1000\times 100=100000 cm\)

100000 cm  represents on a map of  a town

=\(\frac{150}{3}\times 100000\) m

100000 cm  represents on a map of  a town=5000000 m

100000 cm  represents on a map of  a town

=\(\frac{5000000}{1000} km\)

100000 cm  represents on a map of  a town=5000 km

Hence, two points are separated by 5000 km on the map.

Answer:

A, B, E

Step-by-step explanation:

This is given by the limit

\(\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} \frac{(2x^2 - 5x+1) - (-2)}{x - 1} = \lim_{x\to1} \frac{2x^2 - 5x + 3}{x - 1}\)

Observe that \(2x^2-5x+3=0\) when \(x=1\), and factorizing gives

\(2x^2 - 5x + 3 = (x - 1) (2x - 3)\)

so that

\(\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} (2x-3) = 2\cdot1 - 3 = \boxed{-1}\)

(A)

Answer:

First, solve for the volume of the tray by the equation V = L x W x H. Convert first all the dimensions to inches. The operation gives an answer of volume equal to 236.22 in³. Converting the amount of paint available to in³. This gives an answer of 231 in³. Hence, the answer is letter B.

Step-by-step explanation:

The expression which is equivalent to the given expression as given in the task content is; negative 9 over 12 times t minus 2 over 9.

ait follows from the task content that the expression which is equivalent to the given expression is to be determined.

As evident from the task content; the given expression is;

-7t/6 + 4/9 - ( -5t/12) + 2/3 )

The expression can be solved by collecting like terms and evaluating sums as follows;

-7t/6 + 5t/12 + 4/9 - 2/3

= ( -14t + 5t ) / 12 + (4 - 6)/9

= -9t/12 - 2/9

Therefore, the required expression which is equivalent to that; which is as given is; negative 9 over 12 times t minus 2 over 9.

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Answer:

104.8cm³(1 decimal place)

Step-by-step explanation:

Volume of a cone is given by the formula

V=1/3πr²h

we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7

V=1/3× 22/7×5²×4

V=1/3 × 22/7 ×25 ×4

V=2200/21

V=104.76190476

V=104.8cm³(1decimal place)

pls if you like this answer you can appreciate it by marking it as brainliest

Answer:

its 72

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

To know if a table is a function or not, we have to see if 1 input only has 1 output.

Looking at the table each input only has 1 output, so it is a function.

Using simple interest, it is found that:

a) The monthly payment will be of $222.57.

b) In total, the car will cost $18,251.9275.

c) $16,025.1775 will be paid in interest.

The amount of money accrued after t years, using simple interest, with an initial value of P and a decimal rate of r is given by:

\(A(t) = P(1 + rt)\)

In this problem:

Item a:

The amount of money accrued will be of:

\(A(6) = 12618.25[1 + 0.045(6)] = 16025.1775 \)

Payment over 6 x 12 = 72 months, hence, the monthly payment will be of:

\(m = \frac{16025.1775}{72} = 222.57\)

The monthly payment will be of $222.57.

Item b:

The total cost is composed by:

Hence:

\(T = 0.15(14845) + 16025.1775 = 18251.9275\(

In total, the car will cost $18,251.9275.

Item c:

As found in item a, $16,025.1775 will be paid in interest.

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I'd say 13, hope this helps

Step-by-step explanation:

Solution

Since

A = 155N + 650

B = 585 N

T = A + B

=> T = 155N + 650 + 585N

=> T = 740N + 650

Answer:

Step-by-step explanation:

m(x) =2^x+1 increases / positive infinity

n(x) =10^x^-2+5 decreases / the line y=5

p(x) =-e^x-2 increases / the line y=-2

Answer:

700

Hope this helps!!

Answer:

700

Step-by-step explanation:

Answer:

$149 - price of the skateboard

$52 - Carly's money

$20 × 5 cars = $100

$100 + $52 = $152

$152 - $ 149 = $3

money left is $3

Answer:

The calculated value of z = - 0.197  falls in the critical region therefore we reject the null hypothesis and conclude that  at  the 5% significance level there is significant difference in population proportions of households that decorate their houses with lights for the holidays

Step-by-step explanation:

We formulate the null and alternative hypotheses as

H0: p1= p2 there is no difference in population proportions of households that decorate their houses with lights for the holidays

against Ha : p1≠ p2  (claim)  ( two sided)

The significance level is set at ∝= 0.05

The critical value for two tailed test at alpha=0.05 is ± 1.96

or Z∝= 0.05/2= ± 1.96

The test statistic is

Z = p1-p2/√pq(1/n1 +1/n2)

p1= proportions of households  decorating in city 1  = 45/60=0.75

p2= proportions of households  decorating in city 2 = 40/50= 0.8

p = the common proportion on the assumption that the two proportion are same.

p =   \(\frac{n_1p_1 +n_2p_2}{n_1+n_2}\)

Calculating

p =60 (0.75) + 50 (0.8) / 110

p=  45+ 40/110= 85/110 = 0.772

so  q = 1-p= 1- 0.772= 0.227

Putting the values in the test statistic and calculating

z= 0.75- 0.8/ √0.772*0.227( 1/60 + 1/50)

z= -0.05/√ 0.175244 ( 110/300)

z= -0.05/0.25348

z= -0.197

The calculated value of z = - 0.197  falls in the critical region therefore we reject the null hypothesis and conclude that  at  the 5% significance level there is significant difference in population proportions of households that decorate their houses with lights for the holidays

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is \(A(t) = 810(0.74)^t\)

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

\(A(t) = A(0)(1-r)^t\)

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that \(A(24) = (1-0.26)A(0) = 0.74A(0)\); We use this to find r.

\(A(t) = A(0)(1-r)^t\)

\(0.74A(0) = A(0)(1-r)^{24}\)

\((1-r)^{24} = 0.74\)

\(\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}\)

\(1 - r = (0.74)^{\frac{1}{24}}\)

\(1 - r = 0.9875\)

\(r = 1 - 0.9875 = 0.0125\)

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that \(A(0) = 810\)

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

\(A(t) = A(0)(1-r)^t\)

\(A(t) = 810(1 - 0.26)^t\)

\(A(t) = 810(0.74)^t\)

The function to represent the mass of the sample after t days is \(A(t) = 810(0.74)^t\)

The number of each kite the manufacturer can produce to maximize profit are;

90 standard kites or 64 deluxe kites

Profit maximization is a process used to increase the profit of a company to the highest levels.

Let x represent the number of standard kite produced and let y represent the number of deluxe kite produced. Let p represent the profit from selling one standard kite and let q represent the profit from selling one deluxe kite.

The constraints inequalities that can be obtained to solve the question using linear programming methodology are therefore;

2·x + 3·y ≤ 200 (The fabric constraints)

5·x + 7·y ≤ 450 (The string constraints)

x ≥ 0, y ≥ 0 (Non–negative constraints)

The objective function which is the total profit can be presented as follows;

z = p·x + q·y (total profit)

Therefore, we get;

Maximize: z = p·x + q·y

Subject to:

2·x + 3·y ≤ 200

5·x + 7·y ≤ 450

x ≥ 0, y ≥ 0

The graph of the above inequalities indicates that we get the following coordinates of the vertices of the feasible region;

(0, 64 2/7), (90, 0), (0, 0)

The objective function indicates that we get;

z(0, 64 2/7) = p × 0 + q × 64 2/7 = (64 2/7)·q

z(90, 0) = p × 90 + q × 0 = p × 90 = 90·p

z(0, 0) = p × 0 + q × 0 = 0

The company can produce 90 standard kites or 64 deluxe kites to maximize their profit

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The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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a) The linear function used to find the equipment rental fee is of: y = 9x + 20.

b) The cost for 6 hours of training is of: $74.

The linear function is defined considering it's slope-intercept format, given as follows:

y = mx + b.

The coefficients of the function are given as follows:

A soccer training camp charges $9.50 per hour for training, hence the slope is of:

m = 9.

The total fee for 12 hours of training was $128, hence the intercept b is obtained as follows:

128 = 9(12) + b

b = 128 - 108

b = 20.

Hence the function is defined as follows:

y = 9x + 20.

The cost for six hours of training is obtained as follows:

y = 9(6) + 20 = $54.

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Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.