Eighteen participants were given a test of mental performance in rooms with different colored lights (the highest attainable score (i.n., those showing the best mental performance) would be 10; the lowest score is 0). Nine participants were in a room illuminated by red light bulbs and nine were in a room lit by white light bulbs.


Required:

Conduct an independent samples- t-test to determine which light resulted in the best mental performance.

Answer:

m∠DAB is 114°

Step-by-step explanation:

The given parameters are;

The dimensions of the given parallelogram ABCD are AD = 19, EC = 15, m∠ABC = 66°, m∠DAC = 78°, m∠BDC = 19°

Given that in parallelogram ABCD, the same side interior angles are supplementary, we have;

m∠ABC and m∠DAB are supplementary

Therefore;

m∠ABC + m∠DAB = 180° by definition of supplementary angles

66° + m∠DAB = 180°

m∠DAB = 180° - 66° = 114°

m∠DAB = 114°.

If the radius of sector is 12 centimeters and angle of 65 degrees then the arc's length is 13.6 cm.

Given a sector has a radius of 12 cm and an angle 65 degrees.

We have to calculate arc's length.

We know that arc's length is equal to Θr where Θ is in radians.

We have been given angle in degrees ,so we have to convert degrees in radians.

Angle=65*π/180=13π/36

length of arc =Θr

Putting the values in the formula above :

length =13π/36*12

=13*3.14/3

=40.82/3

=13.6

Hence if the radius of sphere is 12 cm and angle 65 degrees then the length of arc of sphere is 13.6 cm.

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In the 1984 domestic violence study conducted by Sherman and Berk, the ethical concern was that they potentially withheld a beneficial treatment.

The domestic violence study conducted by Sherman and Berk in 1984 raised an ethical concern in that they financially profited from the research. This raises the question of whether their motives were purely altruistic or whether they were driven by financial gain. Additionally, the study did not adhere to special protections for vulnerable populations such as women and children who may have been victims of domestic violence. This raises concerns about the validity and generalizability of the study's findings. Furthermore, the study potentially withheld a beneficial treatment, which raises questions about the ethical responsibility of researchers to ensure that their subjects receive the best possible care. Finally, there are also concerns that the researchers may have deceived their subjects, which raises questions about the integrity and transparency of the research process. In conclusion, the ethical concerns raised by this study highlight the need for researchers to carefully consider the impact of their research on vulnerable populations and to ensure that they adhere to the highest ethical standards.
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Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

Answer:

ofc its p/q

Step-by-step explanation:

Answer:

2√x can be written as

\( {2x}^{ \frac{1}{2} } \)

So we have

\( {2x}^{ \frac{1}{2} } \times {4x}^{ - \frac{5}{2} } \\ = {2x}^{ \frac{1}{2} } \times {2x}^{- \frac{5}{2} \times 2 } \\ \\ = {2x}^{ \frac{1}{2} } \times {2x}^- {5} \\ \\ = {2x}^{ \frac{1}{2} - 5 } \\ \\ = {2x}^{ -\frac{9}{2} } \)

Comparing with k.x^n

k = 2 n = -9/2

Hope this helps you

Based on the given table, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

To determine the profit-maximizing level of output, we need to analyze the relationship between total revenue (TR) and total costs (TC) for different quantities of output. The profit can be calculated as the difference between total revenue and total costs.

Looking at the table, we can see that as the quantity increases from 1 to 5, both total revenue and total costs increase. However, at a certain point, the increase in total costs outpaces the increase in total revenue, leading to a decrease in profit.

To find the profit-maximizing level of output, we compare the profits at different quantities.

Quantity 1: TR = $28, TC = $40, Profit = TR - TC = $28 - $40 = -$12

Quantity 2: TR = $56, TC = $45, Profit = TR - TC = $56 - $45 = $11

Quantity 3: TR = $84, TC = $55, Profit = TR - TC = $84 - $55 = $29

Quantity 4: TR = $112, TC = $72, Profit = TR - TC = $112 - $72 = $40

Quantity 5: TR = $140, TC = $120, Profit = TR - TC = $140 - $120 = $20

From the above calculations, it is evident that the profit is highest at Quantity 4. Therefore, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

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A) The compound event will have a sample size of 25.

B) The new sample size will be 36.

Any event with many sample points is referred to as a compound event. Compound events are more complex than simple events. These incidents carry the risk of additional occurrences. The probability of every potential result of a compound event is one.

A compound event is one that comprises two or more simple occurrences. In contrast to complex events, which can have a range of diverse results, simple events can only have one outcome.

Given,

Number of buttons in a container = 5

Lucas picks one button, replaces it and then picks another.

A sample size of the compound event

n = 55

n  = 25

Now, one more button is added to the container and in total there are 6 buttons. Lucas repeats the same process again and hence,

A sample size of the new compound event will be,

n = 66

n = 36

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The complete question is given below.

Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button. The sample size for this compound event is  ___  Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be ____

The derivative of the function f(x) = 390 by using the rules of differentiation is f'(x) = 0.

To find the derivative of the function f(x) = 390, we can apply the rules of differentiation.

In this case, the function f(x) = 390 is a constant function, which means it does not depend on the variable x. The derivative of a constant function is always zero.

Therefore, the derivative f'(x) of the function f(x) = 390 is:

f'(x) = 0

The derivative of a constant function is zero because a constant value does not change with respect to the variable x. So regardless of the value of x, the rate of change of the function is always zero.

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The required confidence intervals are (48.74, 51.46) for 95% confidence interval and (47.86, 52.34) for 99% confidence interval.

Given: ample size, n = 40Sample mean, x = 50.1Sample standard deviation, s = 4.7We need to construct 95% and 99% confidence intervals for the mean amount of garbage per bin for all bins in the city.  

Formula used for calculating confidence interval is :Lower Limit (LL) = x - (zα/2) * (s/√n)Upper Limit (UL) = x + (zα/2) * (s/√n)Where:x = sample meanzα/2 = z-score at α/2 (for two-tailed test)S = sample standard deviation n = sample sizeWe will first calculate the value of zα/2 at 95% confidence interval.Therefore, α = 1 - 0.95 = 0.05α/2 = 0.05/2 = 0.025The area under the standard normal curve for a z-score of 1.96 is 0.475. This means that the area in both tails is 0.025 + 0.025 = 0.05.zα/2 = 1.96.

Now we will substitute all the values in the formula.Lower Limit (LL) = 50.1 - (1.96) * (4.7/√40) = 48.74Upper Limit (UL) = 50.1 + (1.96) * (4.7/√40) = 51.46Therefore, the 95% confidence interval for the mean amount of garbage per bin for all bins in the city is (48.74, 51.46).Now we will calculate the value of zα/2 at 99% confidence interval.Therefore, α = 1 - 0.99 = 0.01α/2 = 0.01/2 = 0.005The area under the standard normal curve for a z-score of 2.58 is 0.495.

This means that the area in both tails is 0.005 + 0.005 = 0.01.zα/2 = 2.58Now we will substitute all the values in the formula.Lower Limit (LL) = 50.1 - (2.58) * (4.7/√40) = 47.86Upper Limit (UL) = 50.1 + (2.58) * (4.7/√40) = 52.34Therefore, the 99% confidence interval for the mean amount of garbage per bin for all bins in the city is (47.86, 52.34).Hence, the required confidence intervals are (48.74, 51.46) for 95% confidence interval and (47.86, 52.34) for 99% confidence interval.

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Answer:

4/3 lemons

Step-by-step explanation:

For 16 lemons per 12 cups, simplify the ratio to 4 lemons per 3 cups.

The required rate of lemon per cup of lemonade is 1.34 lemons per cup.

Given that,
For Allison's lemonade recipe, 16 lemons are required to make 12 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade to be determined.

The rate of change is defined as the change in value with the rest of the time is called the rate of change.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Since
Let the rate of lemon per cup of lemonade is x,
Total lemon = 16
To a cup of lemonade = 12
Rate of lemon per cup of lemonade
x = 16/12
x = 1.34

Thus, the required rate of lemon per cup of lemonade is 1.34 lemons per cup.

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Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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Answer:

sadfasdaf

Step-by-step explanation:

ok, this should be easyyyyyyyy

Answer:

A)Only Line A is well placed line of best fit

Step-by-step explanation:

Best fit line :A line through a scatter plot of data points that best expresses the relationship between those points is called best fit line

The least-squares method provides the closest relationship between the dependent and independent variables by minimizing the distance between the residuals and the line of best fit

By considering both the given graphs

We can see that Line A gives the minimum distance between residuals and line of best fit whereas Line B does not give the minimum distance between residuals and line of best fit

So,Option A is true

A)Only Line A is well placed line of best fit

Answer: a) only line A is a well placed line of best fit

Step-by-step explanation:

Answer:15 bottles of punch

if this doesn't help i'm extremely sorry

Step-by-step explanation:

The value of expression lim x→1 g(x) is 4.

In mathematics, a limit is a point at which a function becomes close to producing the desired result for the given input values. Limits are necessary for calculus and mathematical analysis and are also needed to establish integrals, derivatives, and continuity. It is used during the analysis process and continually thinks about how the function will act in a particular situation. The idea of the limit of a topological net broadens the definition of the limit of a sequence and relates it to the limit and direct limit in the theory category.

Given expression,

\(4x\leq g(x)\leq2x^{4}-2x^{2} +4\)

For x → 1

4x = 4(1)

    = 4

\(2x^{4}-2x^{2} +4\) = 2(1)-2(1)+4

                     = 4

Hence, the value of lim x→1 g(x) is 4.

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Answer:

the answer is 4.625 or 4 6/10

Step-by-step explanation:

I just used a calculator. hope this helps <3

Answer:

4. x = 16.8

5. x = 35.98

Step-by-step explanation:

For both triangles that you need to work on, use the trigonometric function which is tan and you are dividing opposite by adjacent for the answers.

For number 4, the equation you are setting up is tan 35 = x/24.  Multiply 24 on both sides to get the answer which is 16.8 for the x side.

For number 5, the equation you are setting up is tan 17 = 11/x.  As a result on your calculator, you should get 35.98 for the x side.

Answer:

$2.50

Step-by-step explanation:

Given the daily pay formula :

P(b)=5/2b+45

P(b) = employee’s total daily pay

b = number of bushels of peaches picked

Hence from the fórmula ; rate which employees are paid per bushel. Of peach picked is the gradient of the equation :

According to the intercept slope formula:

y = mx + c ; where m = slope or gradient

From the equation :

P(b)=5/2b+45

The slope or gradient is 5/2 ; hence, employees are paid $5/2 per bushel of peaches picked.

$5/2 = $2.50

Step-by-step explanation:

let's say that x is the slope of line 1.

the slope of a perpindicular line is the negative reciprical of x

the slope of line 2 is then -1/x

Answer:

x=10

y=25

Step-by-step explanation:

3x-10+5x+30+6x+20=180

14x+40=180

14x=180-40

14x=140

x=10

9x-10=4y-20

9(10)-10=4y-20

90-10=4y-20

80=4y-20

80+20=4y

100=4y

25=y

Answer:

3/3

Step-by-step explanation:

Answer:

3/3

Step-by-step explanation:

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.

The probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch depends on several factors such as the breed of the chicken, temperature, and humidity. However, on average, most chicken eggs take around 21 days to hatch. Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.
The probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch depends on several factors such as the breed of the chicken, temperature, and humidity. However, on average, most chicken eggs take around 21 days to hatch.

Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.

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Answer:

C. Zeros at x = 2 ± √3, and D. The zeros are the hot dog prices that give $0.00 profit (no profit).

The rate of change for the equation y - x = 10 is 1.

To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.

We can rewrite the equation as y = x + 10 by adding x to both sides.

Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.

In other words, as x increases by 1 unit, y will increase by 1 unit as well.

As a result, 1 represents the rate of change for the equation y - x = 10.

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For the expressions (32 - 13) (54 -45) and (23.1 - 17)/(3.2 - 13), the inequality will be (32 - 13) (54 - 45) > (23.1 - 17)/(3.2 - 13).

For the expressions -(14/5) - 19.7 and (19.7)⁴, the inequality will be -(14/5) - 19.7 < (19.7)⁴.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The first two expressions are -

(32 - 13) (54 -45) and (23.1 - 17)/(3.2 - 13)

Solve the expression (32 - 13) (54 -45) first.

(32 - 13) (54 - 45)

Use the arithmetic operation of subtraction -

(19)(9)

Use the arithmetic operation of multiplication -

171

Now solve the expression (23.1 - 17)/(3.2 - 13).

(23.1 - 17)/(3.2 - 13)

Use the arithmetic operation of subtraction -

6.1/-9.8

Use the arithmetic operation of division -

-0.622

Now, it can be seen that -0.622 is less than 171.

Therefore, the inequality symbol > will be used.

The second two expressions are -

-(14/5) - 19.7 and (-19.7)⁴

Solve the expression -(14/5) - 19.7 first.

-(14/5) - 19.7

Use the arithmetic operation of division -

-2.8 - 19.7

- 22.5

Now solve the expression (-19.7)⁴.

(-19.7)⁴

Expand using the powers rule -

150613.848

Now, it can be seen that - 22.5 is less than 150613.848.

Therefore, the inequality symbol < will be used.

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Angela will have cell phone service from tower 2 only , Option C is the answer.

An inequality is an algebraic expression connected to another algebraic expression with an inequality operator.

The two inequalities given are

(x+5)² + (y+2)² ≤ 144

(x-8)² +(y-7)²  ≤100

The inequalities are plotted on the graph

and the location of Angels's Friends ( 4 , 8) is also plotted

If this lies in the area of the Inequalities she will have signal.

At Angela's friends house she will have the signal of Tower 2 only.

Therefore Option C is the answer.

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Answer:

lines a and b are parallel because their corresponding angles are congruent.

Step-by-step explanation:

Since there are two angles equal to 110 in the same position, lines a and b are parallel because their corresponding angles are congruent.

Answer:

If it’s up tomorrow I will

Step-by-step explanation: