8 (b). Formulate a research instrument you would design for
conducting a survey on job satisfaction of employees.

The equation of the exponential model is f(x) = 3 * 0.2^x

The table of data is given as:

x(-2,-1,0,1,2)

f(x)(71,13,3,0.6,0.1)

An exponential model is represented as:

f(x) = ab^x

When x= 0 and f(x) = 3;

We have:

ab^0 = 3

This gives

a = 3

When x= 1 and f(x) = 0.6

We have:

ab^1 = 0.6

This gives

ab = 0.6

Substitute 3 for a

3b = 0.6

Divide both sides by 3

b = 0.2

Substitute b = 0.2 and a =3 in f(x) = ab^x

f(x) = 3 * 0.2^x

Hence, the equation of the exponential model is f(x) = 3 * 0.2^x

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The absorbance of the given sample is 0.2076.

Length of the cuvette = 1 cm

Wavelength of the spectrophotometer = 620nm

Transmittance of the sample = 62%

We know, absorbance is related to transmittance by the formula written below;

A = log(1/T)                                                 equation 1

Also, percent transmittance %T = 100T

or we can write, T = (%T) / 100

On substituting value of T in equation 1 , we get

A = log(100/(%T))    

⇒ A = log(100) - log (%T)      

⇒ A = log(\(10^{2}\)) - log(%T)

⇒ A=  2log(10) - log(%T)    

We know, log10 = 1. On substituting the value of log 10 in above equation, we get

A = 2 - log(%T)

⇒ A = 2 - log(62)

⇒ A = 2 - 1.7924

⇒ A = 0.2076

The absorbance of the given sample is 0.2076.

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Answer:

\(18\sqrt{3} + 55\sqrt{3} = 73\sqrt{3}\)

Step-by-step explanation:

27= 3 * 3 * 3

75 = 3 * 5*5

18 sqr 3 + 55 sqr 3 = 73 sqr 3

Answer:

C

Step-by-step explanation:

Remember the four basic power of i:

\(\begin{aligned}i^1&=i\\i^2&=-1\\i^3&=-i\\i^4&=1\end{aligned}\)

We have:

\(i^{233}\)

The trick here is to split the exponent into a number divisible by 4 plus the remainder. Notice that:

\(233=232+1\)

And that:

\(232/4=58\)

So, we can rewrite our exponent as:

\(=i^{4\cdot 58+1\)

Using the properties of exponents:

\(=(i^4)^{58}\cdot i^1\)

Since i to the fourth is simply 1:

\(=(1)^{58}\cdot i^1\)

Simplify:

\(=1\cdot i^1\)

Simplify:

\(=i\)

Hence, our answer is C.

Answer:

Where's the graph kid sir?

Step-by-step explanation:

Answer:

The y-intercept on a sloped line is where the line crosses the y-axis. Taking a look at your graph, Find a point where the line crosses the y-axis.

Answer:

x = -4

Step-by-step explanation:

Step 1: Define

j(x) = 3x + 1

j(x) = -11

Step 2: Substitute and solve for x

-11 = 3x + 1

-12 = 3x

x = -4

Answer:

They are used to share something among friends , Like if there are four friends and they want to divide a cake equally among themselves , then the quantity of cake that each friend will get will be one-fourth of the cake , That is a rational number 1/4.

Step-by-step explanation:

short answer it won't trust me

Answer:

$18150

Step-by-step explanation:

Solution:

Principle= $15,000

Time= 6 months

Rate= 3.5% (7.5/2)

Amount= ?

SI=?

             Now,

              SI=(15000*6*3.5)/100

                 =$3150

                Amount=SI+Principle

                              =$18150

The total value of the account when the deposit, time period and the annual rate is given so it should be $18150.

Since

Principle = $15,000

Time period = 6 months

Rate \(= 7\% \div 2\) = 3.5%

So, first determine the interest

So,

= (15000(6)*(3.5%)

= $3150

Now the amount is

= $15,000 + $3,150

= $18,150

hence,The total value of the account when the deposit, time period and the annual rate is given so it should be $18150.

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Based on the scholarships and grants that Jamal will receive, his estimated cost per year is $25,050.

If his family contributes $21,000, he will have to contribute $4,050.

If Jamal has $0 in savings, the amount to save each month is $337.50.

If Jamal has $1,000 in savings, the amount to save each month is $254.17.

If Jamal has $2,000 in savings, the amount to save each month is $170.83.

= Cost per year of private university - Scholarships - Work study program

= (25,100 + 8,000 + 1,300 + 750) - 8,200 - 1,900

= 35,150 - 8,200 - 1,900

= $25,050

= Estimated cost - family contribution

= 25,050 - 21,000

= $4,050

The amount that Jamal should save monthly can be found as:

= (Amount to contribute - Amount already saved ) / Number of months in year

If Jamal has $0, he should save:

= (4,050 - 0) / 12

= $337.50

If Jamal has $1,000:

= (4,050 - 1,000) / 12

= $254.17

If Jamal has $2,000:
= (4,050 - 2,000) / 12

= $170.83

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you should give 0.000001 grams of epinephrine, which is equivalent to 0.000001 milliliters (ml).

To determine the amount of epinephrine in milliliters (ml) that should be given, we need to use the given ratio of 1:1000 (1 g: 1000 ml).

Given that you have 1 mg of epinephrine, we need to convert it to grams before applying the ratio:

1 mg = 1/1000 g = 0.001 g

Now we can use the ratio to find the corresponding volume in milliliters:

0.001 g : 1000 ml = x g : ml

Cross-multiplying, we have:

0.001 g * ml = x * 1000 ml

0.001 g = x * 1000

x = 0.001 g / 1000

x = 0.000001 g

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The complete venn diagram is given in the attachment which has three sets of biology, physics and chemistry

The total number of students are 60

7 students study biology, chemistry and physics

12 students students biology and chemistry

15 students students biology and physics

20 students students chemistry and physics

35 students study biology

32 students study physics

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Answer:

what is this lol its not a question

Step-by-step explanation:

Answer:

38 cm

Step-by-step explanation:

it makes the most sense

Answer: Id have to say 40mm

Answer:

(- 6, - 36 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \(\frac{b}{2a}\)

f(x) = x² + 12x ← is in standard form

with a = 1, b = 12, c = 0 , then

x = - \(\frac{12}{2}\) = - 6

Substitute x = - 6 into f(x) for corresponding value of y

f(- 6) = (- 6)² + 12(- 6) = 36 - 72 = - 36

vertex = (- 6, - 36 )

Answer:

A: (-6, -36)

Step-by-step explanation:

This should be the right answer on edge,

please correct me if I'm wrong.

The single transformation that maps Triangle A onto Triangle C is a reflection in the x-axis followed by a reflection in the y-axis.

Here, coordinates of triangle A are (-4,-2), (-2,-5), and (-4,-5)

The transformation that maps Triangle A onto Triangle C can be described as follows:

Reflection in the x-axis: Triangle A is reflected across the x-axis to obtain Triangle B. This transformation changes the sign of the y-coordinates while keeping the x-coordinates the same.

The new coordinates of Triangle B are (-4,2), (-2,5), and (-4,5).

Reflection in the y-axis: Triangle B is reflected across the y-axis to obtain Triangle C. This transformation changes the sign of the x-coordinates while keeping the y-coordinates the same.

The new coordinates of Triangle C are (4,2), (2,5), and (4,5).

Therefore, the single transformation that maps Triangle A onto Triangle C is a reflection in the x-axis followed by a reflection in the y-axis.

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Answer:

73 m^2

Step-by-step explanation:

Well divide this into 3 shapes

The 3 dimensions will be

3X9

7X4

2X9

You;d gets 73

Answer:

This is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

33m

Step-by-step explanation:

Given,

Perimeter(p)= 96m

width(w)=?

length(l)= (2×w)+3

= 2w+3

Now,

P=2(l+w)

or, 96/2= 2w+3+w

or, 48-3=3w

or, 45/3=w

or, 15 = w

:. w= 15 m

next,

length= (2×w)+3

=( 2×15 )+3

= 33 m

The amount of paper required to cover each memory box is 5220 square inches.

Considering the edge of the cube = L units.

Thus the area of one side of the cube will be equal to L² unit².

Now, there will be 6 such sides for a closed cube then the total surface area will be 6*(L)² unit²

The given length breadth and height of the box is 35in, 24in, and 30in.

The formula for the surface area of a rectangular prism is:

SA = 2(lw + lh + wh)

Where:

SA = surface area l = length w = width h = height

For this memory box, the given length (35 in), width (24 in), and height (30 in).

Substituting  these values into the formula the SA obtained will be:

SA = 2(35 × 24 + 35 × 30 + 24 × 30) SA

= 2(840 + 1050 + 720) SA

= 2(2610) SA = 5220inches²

Therefore, the answer will be 5220 square inches.

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P = -16 I'm pretty sure

answers and explanations are shown in image given

918.75

Step-by-step explanation:

875 = 100%

43.75 = 5%

\( \frac{875 \times 5}{100} = 43.75\)

therefore selling price is 875+ 43.75 = 918.75

Answer:

918.75

Step-by-step explanation:

the 5% of 875 is 43.75 add it up to 875 the answer is 918.75

Answer:

(3, 6)

Step-by-step explanation:

(x1, y1) and (x2, y2)

x2 - x1, y2 - y1

(x*, x*)

(2, 1) and (5, 7)

5 - 2, 7 - 1

(3, 6)

Answer:

1. 2 more children

2. 13 centimeters

3. Can't determine without ruler

Step-by-step explanation:

1. 5-3 = 2

2. 22-9 = 13

Answer:

use symbolab

Step-by-step explanation:

The volume of air inside the garage is 19,200,000 cm³.

To calculate the volume of the air inside the garage, we need to multiply the length, width, and height of the space. Given that the length and width of the rectangle-shaped garage floor are both 8 meters, and the height of the garage is 3 meters, we can proceed with the calculation.

First, let's convert the dimensions to centimeters for consistency. Since 1 meter is equal to 100 centimeters, the length and width of the garage floor are 800 centimeters (8 meters × 100 centimeters/meter).

To calculate the volume, we multiply the length, width, and height together: 800 cm × 800 cm × 300 cm = 192,000,000 cm³. However, it's important to note that this calculation gives us the total volume, including the space occupied by the garage structure itself. If we want to determine the volume of air inside the garage, we need to subtract the volume occupied by the solid structure. Assuming the garage structure occupies negligible space, we can conclude that the volume of air inside the garage is approximately 19,200,000 cm³.

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Answer:

  y = -3x

Step-by-step explanation:

You want the slope-intercept equation of the line with slope -3 through the point (-1,3).

The equation of the line with slope m through point (h, k) can be written ...

  y -k = m(x -h)

For slope -3 and point (-1, 3), the equation is ...

  y -3 = -3(x +1)

Eliminating parentheses gives ...

  y -3 = -3x -3

Adding 3 gives the equation ...

  y = -3x

__

Additional comment

As you can see, the y-intercept is 0.

Interpreting a p-value in the context of a word problem involves understanding its significance and its relationship to the hypothesis being tested.

The p-value represents the probability of obtaining the observed data (or more extreme) if the null hypothesis is true.

Here are a few examples of interpreting p-values in different scenarios:

1. Hypothesis Testing Example:

Suppose you are conducting a study to test whether a new drug is effective in reducing blood pressure.

The null hypothesis (H0) states that the drug has no effect, while the alternative hypothesis (Ha) states that the drug does have an effect.

After conducting the study, you calculate a p-value of 0.02.

Interpretation: The p-value of 0.02 indicates that if the null hypothesis (no effect) is true, there is a 2% chance of observing the data (or more extreme) that you obtained.

Since this p-value is below the conventional significance level of 0.05, you would reject the null hypothesis and conclude that there is evidence to support the effectiveness of the drug in reducing blood pressure.

2. Acceptance Region Example:

Consider a manufacturing process that produces light bulbs, and the company claims that the defect rate is less than 5%.

To test this claim, a sample of 200 light bulbs is taken, and 14 of them are found to be defective.

The hypothesis test yields a p-value of 0.12.

Interpretation: The p-value of 0.12 indicates that if the true defect rate is less than 5%, there is a 12% chance of obtaining a sample with 14 or more defective light bulbs.

Since this p-value is greater than the significance level of 0.05, you would fail to reject the null hypothesis.

There is not enough evidence to conclude that the defect rate is different from the claimed value of less than 5%.

3. Correlation Example:

Suppose you are analyzing the relationship between study time and exam scores.

You calculate the correlation coefficient and obtain a p-value of 0.001.

Interpretation: The p-value of 0.001 indicates that if there is truly no correlation between study time and exam scores in the population, there is only a 0.1% chance of obtaining a sample with the observed correlation coefficient.

This p-value is very low, suggesting strong evidence of a significant correlation between study time and exam scores.

In all these examples, the p-value is used to assess the strength of evidence against the null hypothesis.

It helps determine whether the observed data supports or contradicts the hypothesis being tested.

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Answer:

2/5

Step-by-step explanation:

Answer:

12/30 = 2/5

Step-by-step explanation:

numerator x numerator, denominator x denominator, 6 goes into both

Answer:

X + 9 < 12

X + 9 - 9 < 12 - 9

X < 3

Step-by-step explanation: is pretty simple