an experimenter is convinced that there is such a phenomenon as extrasensory perception. to demonstrate this, a randomly selected group of subjects was given a test designed to show their ability. following the collection of the data, a test of significance showed that the results were not significant at the 0.05 level of significance. undaunted, the experimenter repeated the experiment several times and finally obtained an experimental result with a p-value of 0.03. what can properly be said about this result

Answer: The answer to this question is true.

Answer:

See Explanation

Step-by-step explanation:

Solving (a): The Variables

The variables are the ages of Jaime, Crystal and Marissa;

Let

x represents Jaime's age;

y represents Crystal's age;

z represents Marissa's age

Solving (b): Equation

\(x = 3 + y\)

\(z = 2x\)

\(x + y + z = 45\)

Solving (c): Result of the equations

\(x = 3 + y\) -- (1)

\(z = 2x\) -- (2)

\(x + y + z = 45\) -- (3)

Make y the subject in (1)

\(y = x - 3\)

Substitute \(y = x - 3\) and \(z = 2x\) in (3)

\(x + y + z = 45\)

\(x + x - 3 + 2x = 45\)

Collect Like Terms

\(x + x + 2x = 45 + 3\)

\(4x= 48\)

Solve for x

\(x = 48/4\)

\(x = 12\)

Substitute \(x = 12\) in \(y = x - 3\) and \(z = 2x\)

\(y = x - 3\)

\(y= 12 - 3\)

\(y = 9\)

\(z = 2x\)

\(z = 2 * 12\)

\(z = 24\)

This implies that;

Jaime is 12; Crystal is 9 and Marissa is 24 years old

Solving (d): Essence of the question

The question asks that we solve for the ages of Jaime, Crystal and Marissa

B (second image)

jjjjjjjjjjjjcharacterrequirementjjjjjjjj

Answer:

168 deg

Step-by-step explanation:

Assuming the increase in temperature in constant during the 3 weeks, we do the following calculations-

8 deg * 7 = 56 deg / week (Since there are 7 days in a week)

56 * 3 = 168 deg in 3 weeks.

Answer:

$11.6

Step-by-step explanation:

1.45 × 8 = $11.6

That's the Answer

Answer:

0.185 cents

Step-by-step explanation:

1.45÷8 =0.185

divide

We have that, when testing a certain type of truck tire on rough terrain, it is observed that 25% of the trucks fail to complete the test without blowout, the probability that of the next 15 trucks tested, at least one will not able to complete the test run without an explosion is 0.987

Given that when testing a certain type of truck tire on rough terrain, it is found that 25% of the trucks do not complete the test without blowout.So, the probability that a truck completes the test without a blowout is:

P (A complete truck test without blowout) = 1 - P (A complete truck test without an explosion) = 1 - 0.25 = 0.75

Now, we need to find the probability that of the next 15 trucks tested, at least one will not complete the test without an explosion. This can be found using the complement rule. The complement of the probability that at least one truck does not complete the test without a blowout is the probability that all 15 trucks complete the test without a blowout.

P(All 15 trucks complete the test without a blowout) = P(One truck completes the test without a blowout) x P(A second truck completes the test without a blowout) x ... x P(The fifteenth truck completes the test without a blowout) = 0.75 x 0.75 x ... x 0.75 (15 times)= 0.75^15= 0.013

But we need the probability that at least one truck fails to complete the test without a blowout, which is the complement of the above probability.

P(At least one truck does not complete the test without blowout) = 1 - P(All 15 trucks complete the test without blowout)= 1 - 0.013= 0.987

Therefore, the probability that of the next 15 trucks tested, at least one will not be able to complete the test run without an explosion is 0.987.

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Answer:

Hello There!!

Step-by-step explanation:

↬I believe there is 1 whole number less than n+1.

hope this helps,have a great day!!

~Pinky~

D. The graph of g(x) is translated 5 units to the left compared to the graph of f(x).

Jayden needs to work 6 hours next week to earn $105.00.

The number of hours that Jayden needs to work is a function of the expected earnings and the hourly pay rate.

The number of hours worked can be expressed as a mathematical function, thus, f(x) = y/17.5, where x is the number of hours worked and y is the total earnings.

Total earnings for one week = $87.50

The number of hours worked for the week = 5 hours

The hourly rate of pay = $17.5 ($87.50/5)

Expected earnings next week = $105

The number of hours to work to earn $105 = 6 hours ($105/$17.5)

Thus, for next week, Jayden needs to work 6 hours to earn $105.00.

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Answer:

Step-by-step explanation:

The flat fee of $5 is what you will make from that sponsor whether you walk 1 mile or 200 miles. If you make $2 per mile and then number of miles you walk is the independent variable, the expression for that is 2x. The expression that describes this situation is

2x + 5

Answer:

5 + 2m

Step-by-step explanation:

total amount = flat fee + amount per mile

Let m = number of miles

total amount = 5 + 2m

To shoot a 20-cm-long arrow parallel to the axle and through the wheel without hitting any spokes, the arrow should be aimed at a point on the circumference of the wheel that is 4 cm away from any spoke.

The diameter of the wheel is 60 cm (2 x radius), so the circumference is 188.5 cm (π x diameter). Since the arrow is 20 cm long, it must pass through the wheel at a point that is at least 20 cm away from any spoke. To find this point, divide the circumference of the wheel by the number of spokes (which is not given in the problem).

Since the spokes are equally spaced, this will give the minimum distance between any two spokes. For example, if there are 6 spokes, the distance between each spoke is 31.4 cm (188.5 / 6). Therefore, the arrow should be aimed at a point on the circumference of the wheel that is 4 cm (20 / 5) away from any spoke.

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From the word problem given, the number of pizzas each that were delivered are:

Step I

Let a = number of small pizzas delivered

Let b = number of medium pizzas delivered

Let c = number of large pizzas delivered

Step 2 - Creating relevant expressions based on number and type ordered, we have:

a + b + c = 8.............................1

3a + 5b + 11c = 56..................2
4a + 9b + 12C = 4 * 8 + 12.....3a

We can rewrite (3) as
4a + 9b + 12C = 44 ....3b

Step 3

Multiply both sides of (1) by 4

We have

4a +4b +4c = 32

-
4a +4b +4c = 32
5b +8C = 12......................(4)

Multiply both sides of (1) by 3 and subtract from (2), and we have:

3a + 3b + 3c = 24, removing this from (2) we have

3a + 5b + 11c = 56

-
3a + 3b + 3c = 24
2b + 8c = 32.....................(5)

Step 4 - Subtract (4) from (5)

2b + 8c = 32
-
5b + 8c = 12
-3b = 20

b = - 20/3

= - 6.67
Since we cannot have negative values, we work with absolute value to get:

b \(\approx\) 7

Since b = 7

2(7) + 8c = 32
8c = 32 - 14
c = 18/8

c \(\approx\) 2


Plug in that back into a we have

a + b + c = 8
a + 7 + 2 = 8

a = 8-9
a = -1 (recall we must have absolute values)
a therefore = 1.

Hence the number of pizzas that were ordered are:

1 small
7 medium; and

2 large.

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Answer:

135.

Step-by-step explanation:

Because 45 times 3 equals 135.

The statement " to find the leading coefficent we have to write our polynomial so that the order of the degree goes from least to greatest" is false.

To find the leading coefficient of a polynomial, we need to write the polynomial in standard form, where the terms are arranged in descending order of degree, from highest to lowest. The leading coefficient is the coefficient of the term with the highest degree.

In order to determine the leading coefficient, we need to write the polynomial in standard form, where the terms are arranged in descending order of degree.

For example, consider the polynomial 3x^2 + 2x - 1. In this case, the highest degree term is 3x^2, and the leading coefficient is 3. By arranging the polynomial in standard form, with the terms in descending order of degree, we can easily identify the leading coefficient.

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We can infer that young people drive more quickly than older people because the interval does not contain zero.

We need to construct the 90% confidence interval for the difference between the population means μ1 - μ2, in the case that the population standard deviations are not known. The following information has been provided about each of the samples;

Sample Mean 1 (X1) = 79

Sample Standard Deviation 1 (s1) = 2.2360

Sample Size 1 (N₁) = 9

Sample Mean 2 (X2) = 73

Sample Standard Deviation 2 (s2) = 1.732

Sample Size 2 (N₂) = 7

Based on the information provided, we assume that the population variances are equal, so then the number of degrees of freedom is,

df = n + n₂ - 2 = 9 + 7 - 2

   = 14

The critical value for a = 0.1 and df = 14 degrees of freedom is the = t1 - a/2n - 1 = 1.761.

The corresponding confidence interval is computed as shown below,

Since the population variances are assumed to be equal, we need to compute the pooled standard deviation, as follows:

Sp =\(\sqrt{\frac{(n1 - 1)s1^2+(n2 - 1)s2^2}{n1+n2-2} }\) = 2.035

Since we assume that the population variances are equal, the standard error is computed as follows:

se = Sp*\(\sqrt{\frac{1}{n1}+\frac{1}{n2} }\)

    = 1.026

Now, we finally compute the confidence interval;

CI = (X1-X2-te * se, X1 X2+te * se)

   = (79-73-1.761 x 1.026, 79-73 +1.761 x 1.026)

   = (4.193, 7.807)

Therefore, based on the data provided, the 90% confidence interval for the difference between the population means μ - μg is 4.193< μ - μg < 27.807, which indicates that we are 90% confident that the true difference between population means is contained by the interval (4.193, 7.807).

As the interval does not contain zero, we can say that young people drive faster than old people.

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To compute the surface area of revolution about the -x- axis over the interval [0,1] for y=−3, we can use the formula:

SA = 2π ∫[a,b] y√(1+(dy/dx)²) dx

where a=0, b=1, and dy/dx is the derivative of y with respect to x. In this case, y=−3, so dy/dx=0.

Plugging in these values, we get:

SA = 2π ∫[0,1] -3√(1+0²) dx
SA = -6π ∫[0,1] dx
SA = -6π[x]₀¹
SA = -6π(1-0)

SA = -6π

Since surface area cannot be negative, we take the absolute value of the result, which gives us:
SA = 6π

Therefore, the surface area of revolution about the -x- axis over the interval [0,1] for y=−3 is 6π.

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Answer:

Step-by-step explanation:

I think it´s the polygamous

Answer:

Step-by-step explanation:

The equation of the absolute value function y = |x| is a V-shaped graph centered at the origin. To translate this graph left 4 units, we need to replace x with (x + 4) in the equation. Also, since the question asks for y = -|x|, we need to reflect the graph across the x-axis by multiplying the entire equation by -1. Therefore, the equation of the translated absolute value function is:

y = -|x + 4|

This equation represents a V-shaped graph that is centered at x = -4 and opens downward (since it is multiplied by -1), with the vertex at (-4,0).

Answer: y = -|x+4|

Step-by-step explanation:

the formula for absolute value is

y = a|x-h| +k    

(h, k), is your vertex

h, is your shift left or right

k, is your shift up or down

a, is your stretch and negative in front indicates a reflections.

if you want to shift he function left for that's -4 so substitut in your  equations for h -4

y= -|x-(-4)|

y = -|x+4|

Answer:

908.74

Step-by-step explanation:

The formula for the volume of a cylinder is V = h * pi * r^2

h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.

So now plug it into the formula:

V = 10.5 * pi * (5.25)^2

= 908.74

Hope this helped! :)

Answer:

1211.65 cubed ft.

Step-by-step explanation:

Half sphere: V = 4/3(3.24)(5.25^3)

V = 605.82

Divide by two since we need to find the volume of the half sphere, not the full sphere.

605.82 ÷ 2 = 302.91

Cylinder: V = (3.14)(5.25^2)(10.5)

V = 908.74

Add the two volumes to each other to find the total volume of the composite figure.

908.74 + 302.91 = 1211.65

Answer:

Yes, it is possible for a dataset to have more than one mode.

Step-by-step explanation:

In statistics, a mode refers to the value or values that occur most frequently in a dataset. If there are multiple values that have the same highest frequency and occur more frequently than any other value in the dataset, then the dataset is said to have multiple modes.

There are different types of distributions that can exhibit multiple modes. Here are a few examples:

Bimodal Distribution: A bimodal distribution has two distinct modes, meaning it has two peaks or high-frequency regions. This indicates that there are two different groups or subpopulations within the dataset, each with its own characteristic values. For example, if you have a dataset of heights that includes both adults and children, you may observe two modes corresponding to the adult and child heights.

Multimodal Distribution: A multimodal distribution has more than two modes, meaning it has multiple peaks or high-frequency regions. This suggests the presence of multiple subgroups or distinct characteristics within the dataset. For instance, if you have a dataset of exam scores for a class where some students performed well, some performed moderately, and some performed poorly, you might observe three modes corresponding to these groups.

No Mode: It is also possible for a dataset to have no mode, which occurs when no value appears more frequently than others. This can happen in datasets with uniform or random distributions, where all values have equal frequency.

It's important to note that not all datasets will have a mode or multiple modes. Some datasets may have a single mode where one value occurs with the highest frequency, while others may have no discernible mode if the values are evenly distributed or there is no repetitive pattern in the data.In summary, a dataset can have one mode, multiple modes, or no mode depending on the frequency distribution of its values. The presence of multiple modes indicates the existence of distinct groups or subpopulations within the data.

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Yes, the business did better on the second campaign. Since a higher ROI or ROAS value indicates better performance, the business did better on the second campaign.

ROI stands for Return on Investment, which is a measure of profitability. It is calculated by dividing the net profit by the total investment and expressing it as a percentage.

In this case, the ROI for the first campaign was 3, indicating that the business generated three times the profit compared to the investment.

ROAS stands for Return on Advertising Spend, which is a measure of the effectiveness of advertising campaigns. It is calculated by dividing the revenue generated by the advertising campaign by the cost of that campaign.

In this case, the ROAS for the second campaign was 4, indicating that the business generated four times the revenue compared to the advertising cost.

Since a higher ROI or ROAS value indicates better performance, the business did better on the second campaign. The ROAS value of 4 is higher than the ROI value of 3, indicating that the second campaign was more effective in terms of generating revenue compared to the investment made.

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The ROI (Return on Investment) measures the profitability of an investment and is calculated by dividing the net profit by the cost of the investment.

The ROAS (Return on Advertising Spend) measures the effectiveness of an advertising campaign and is calculated by dividing the revenue generated by the advertising campaign by the cost of the campaign. Based on the information provided, it can be concluded that the business did better on the second campaign.


In this case, the business had an ROI of 3 for the first campaign and a ROAS of 4 for the second campaign.

To compare the two campaigns, we can look at the ratios.

For the first campaign, the ROI was 3, meaning that for every dollar invested, the business received 3 dollars in profit.

For the second campaign, the ROAS was 4, meaning that for every dollar spent on advertising, the business generated 4 dollars in revenue.

Comparing these two ratios, we can see that the second campaign had a higher return on advertising spend (ROAS) compared to the first campaign's return on investment (ROI). This suggests that the second campaign performed better in terms of generating revenue in relation to the advertising cost.

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Answer:

Selection D

Step-by-step explanation:

Based on the equation f(x) = 3(.5)^x, we can see that this function is an exponential function.

This eliminates selection B

We can also see that the A value (3) is positive, and therefore will slope upwards.

This eliminates selection C

Now you are left with selections A and D

The difference between the two is their y-intercepts and the origin points.

So let's start by trying out a y-intercept point

In selection A, the y-intercept is (0,1)

Let's plug this into the equation y = 3(.5)^x

\(1 = 3(.5)^0\\\)

Anything to the power of 0 is equal to 1

3 x 1 does not equal 1

Therefore, this eliminates selection A

The only one left is  . . . . . Answer D!

Hope this helps!

If you wanted to check the answer, plug in the y-intercept into the equation

The y-intercept for D is (0,3)

\(3= 3(.5)^0\)

Again, anything to the 0 power is equal to 1, leaving us with:

3 = 3 x 1

This statement is true, and therefore Answer D is correct

Solution is in the attachment!!

Answer:

Yes it is

Step-by-step explanation:

Answer:

pi/6 and 11pi/6

Explanation

Given the trigonometry equation:

Add 2\sqrt[3] to both sides as shown;

Take the cos inverse of both sides

Since theta is between 0 and 2pi

theta = 360 - 30

theta = 330^0

Convert to radians

180^0 = pi rad

30^0 = x

180x = 30pi

x = 30pi/180

x = pi/6

Similarly;

180^0 = pi rad

330^0 = x

180x = 330pi

x = 330pi/180

x = 11pi/6

Hence the value of thets between 0 and 2pi are pi/6 and 11pi/6

If the researcher concludes that there is no difference in the dependent variable, they are concluding a(n) null effect

In science, a null result is a result that lacks the expected content: the proposed result is missing. It is an experimental result that does not demonstrate an otherwise expected effect. This does not imply a zero or nothing result, but rather a result that does not support the hypothesis.

Null outcomes propel us forward. They prevent us from making the same mistakes and shape the direction of future research. In fact, there is a lot we can learn from nothing. However, null results do not always make it into scientific publications.

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The weighted-average unit contribution margin is $46.20.

The weighted-average unit contribution margin can be calculated by multiplying the unit contribution margin of each model by its respective sales mix percentage, and then summing up the results.

To find the weighted-average unit contribution margin, we first calculate the unit contribution margin for each model by subtracting the unit variable costs from the selling price:

For Model A12:

Unit contribution margin = Selling price - Unit variable cost

                     = $60 - $42

                     = $18

For Model B22:

Unit contribution margin = Selling price - Unit variable cost

                     = $120 - $84

                     = $36

For Model C124:

Unit contribution margin = Selling price - Unit variable cost

                     = $480 - $360

                     = $120

Next, we multiply each unit contribution margin by its respective sales mix percentage:

Weighted contribution margin for Model A12 = 60% * $18 = $10.80

Weighted contribution margin for Model B22 = 15% * $36 = $5.40

Weighted contribution margin for Model C124 = 25% * $120 = $30.00

Finally, we sum up the weighted contribution margins:

Weighted-average unit contribution margin = $10.80 + $5.40 + $30.00 = $46.20. Therefore, the weighted-average unit contribution margin is $46.20.

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The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

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Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be x.

Then since they are consecutive numbers, the second number will be (x + 1), the third (x + 2), the fourth (x + 3) and the fifth being (x + 4).

We are given that their sum is 700. Therefore:

\(x+(x+1)+(x+2)+(x+3)+(x+4)=700\)

Solve for x. Combine like terms:

\(5x+10=700\)

Subtract 10 from both sides:

\(5x=690\)

Divide both sides by five. Therefore:

\(x=138\)

The first number is 138.

Answer:

138

Step-by-step explanation:

(n) + (n+1) + (n+2) + (n+3) + (n+4) = 700

5n + 10 = 700

5n = 690

n = 138