Which graph is the linear function that has a slope of 1/3 and contains the point (- 2, - 4) ?

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

3/10

Step-by-step explanation:

0.994 us tons is the answer

Answer:

10/1

Step-by-step explanation:

5/6÷1/12

5/6×12/1 (do a inverse of 1 upon 12)

10/1

cancel 12 by 6

The correct option: b. Reaction times were the longest when people had to read words presented in colored ink.

A seemingly unimportant phenomena called the Stroop effect explains a great deal about how the brain functions.

Thus, the stroop experiment's findings most accurately represent when respondents used to have to read words given in colorful ink, reaction times tended to be the longest.

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The complete question is-

This following question refers to the outcome of the actual experiment (described on the conclusions slides), not the data generated from your performance in particular (which may or may not have matched the real experimental results).

a. Reaction times were the longest when people had to read words presented in black ink.

b. Reaction times were the longest when people had to read words presented in colored ink.

c. Reaction times were the longest when people had to name the color of colored chips/shapes.

d. Reaction times were the longest when people had to name the color of words presented in colored ink.

Let's find the circle to find the exact value of

Sin 17pi/3:

1) Find the coterminal angle in the circle:

2-Using the circle, the point is:

3) The answer is the y-coordinate, so:

a)The mistake was: The coterminal angle was found subtracting 4pi, not 2pi.

b) Because the angle was right in the end, the final answer was correct.

The y-intercept is (0,2)

The slope is -5/2.

                \(\frac{y2-y1}{x2-x1}=\frac{-3-2}{2-0}=\frac{-5}{2} =-\frac{5}{2}\)

Hope that helps!

Answer:

y- intercept is (0, 2)

Slope is -5/2

Based on the given data from the crossover trial comparing two pain relievers (drugs A and B), we can conclude that there is evidence to suggest that the mean pain level is higher with drug B.

The appropriate null and alternate hypotheses are:

Null hypothesis (H0): μ1 = μ2 (There is no difference in the mean pain level between drug A and drug B)

Alternate hypothesis (H1): μ1 < μ2 (The mean pain level is higher with drug B)

To compute the P-value using the TI-84 Plus calculator, we need to perform a paired t-test on the data. By calculating the t-statistic for the paired differences and degrees of freedom, we can obtain the P-value associated with the observed difference. Using the P-value method, the obtained P-value is compared to the significance level (α = 0.10) to make a decision.

If the computed P-value is less than the significance level (0.10), we reject the null hypothesis. This indicates that there is sufficient evidence to support the alternative hypothesis, suggesting that the mean pain level is indeed higher with drug B.

Based on the results of the analysis, we can conclude that there is evidence to suggest that the mean pain level is more with drug B compared to drug A. However, it's important to note that this conclusion is based on the given data and the assumptions made during the analysis. Further studies with larger sample sizes and rigorous experimental designs may be needed to confirm these findings.

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Answer: x=-10, y=-5 or -2/1. And it's dilated by 2. & i believe the scale factor is 2.

Step-by-step explanation:

What i did was simply count from the radius (the tiny dot in the center) up, and   i counted 3, and did the same w/ the A' so I got 6, why makes me assume the scale factor is 2. then i did rise/run and i went  10 left and 5 down. So that makes -10,-5.

False. The correct derivative of the function y = x^3 + x^(1/x) is dy/dx = e^(1 - ln(x)) * (1 - ln(x)).

The derivative of the function y = x^3 + x^(1/x) is not y' = (x^3 - x)^(2/2x^3) + 2x^(1/x).

To find the derivative of the function, we need to use the power rule and the chain rule.

Let's break down the function into two parts: y = x^3 and y = x^(1/x).

For the first part, using the power rule, the derivative of x^3 is 3x^(3-1) = 3x^2.

For the second part, we need to use the chain rule. Let u = x^(1/x), so y = u. Taking the natural logarithm of both sides, ln(y) = ln(u). Differentiating implicitly with respect to x:

1/y * dy/dx = 1/u * du/dx

Substituting y = u, we have:

1/y * dy/dx = 1/x * d/dx(x^(1/x))

Using the chain rule on the right-hand side:

1/y * dy/dx = 1/x * (d/dx(e^(ln(x^(1/x)))))

Applying the power rule, product rule, and chain rule:

1/y * dy/dx = 1/x * (e^(ln(x^(1/x))) * (1/x * d/dx(x) + ln(x^(1/x)) * d/dx(1/x)))

Simplifying:

1/y * dy/dx = 1/x * (e^(ln(x^(1/x))) * (1/x * 1 - ln(x^(1/x)) * 1/x^2))

1/y * dy/dx = 1/x * (e^(ln(x^(1/x))) * (1/x - ln(x^(1/x))/x^2))

1/y * dy/dx = 1/x * (e^(1 - ln(x))/x * (1 - ln(x))/x^2)

Simplifying further:

1/y * dy/dx = (e^(1 - ln(x)) * (1 - ln(x)))/(x^3)

Multiplying both sides by y:

dy/dx = y * (e^(1 - ln(x)) * (1 - ln(x)))/(x^3)

Substituting y = x^3:

dy/dx = x^3 * (e^(1 - ln(x)) * (1 - ln(x)))/(x^3)

Canceling out x^3:

dy/dx = e^(1 - ln(x)) * (1 - ln(x))

Therefore, the correct derivative of the function y = x^3 + x^(1/x) is dy/dx = e^(1 - ln(x)) * (1 - ln(x)).

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Based on the calculations we have rejected the null hypothesis .

Given,

Standard deviation = $ 45

Random sample = 20

Now,

Part 1

Set the null hypothesis and alternative hypothesis,

\(H_{0} : u = 0\\ H_{0} : u > 606.40\)

Part 2

The value of z critical signifies 5% level of significance .

\(Z_{0.05} = 1.65\)

According to critical value if z after calculation is greater than or equal to 1.65 we reject the null hypothesis .

Part 3

The value of Z can be calculated by the formula,

Z = X - µ/σ/√n

Substitute the values ,

Z = 628.85 - 606.40/45/√20

Z = 1.93

Part 4

From the above calculation the value of Z is greater than the critical value .

Thus we reject the null hypothesis .

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The inverse of (- 2 . 3 ) is (1 / - 2.3 ).

In mathematics, the inverse of a number refers to the concept of taking its reciprocal; for instance (2 . w ) results in its reciprocal as ( 1/ 2. w ). When a number is multiplied by its inverse the result yields 1, meaning that the product of the number and its inverse, i.e. reciprocal always equals 1.

As per the given number which is (-2.3) and its inverse is ( 1 / -2.3 ), when these two numbers are multiplied together they result in 1. Such as:

(-2.3) x ( 1 / -2.3 ) = 1

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Answer:

0.05 ounce

Step-by-step explanation:

6 cookies weight 0.3 ounces.

0.3 ounces ÷ 6 = 0.05 ounce

Answer: 0.05 ounce

The other side length is √20 after applying the Pythagoras and other two sides are 2 and 2√3.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

One side length = 2

Other side length = 2√3

Apply Pythagoras

x^2 = 2^2 + (2√3)^2

x^2 = 4 + 12

x = √20

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This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Answer:

The constants are 6 and 4

Step-by-step explanation:

They don’t have variables next to them

Answer:

$1,636,363.64

Step-by-step explanation:

let x = total amount of money received

the total amount he received is 100%

Percent remaining after giving a percent of the money to family = 100% - 20% - 25% = 55%

This means that 55% of x = $900,000

To find the value of x, divide both sides by 55% or 0.55

x = $900,000 / 0.55 = $1,636,363.64

Answer:

Step-by-step explanation:

Using the equation provided I have graphed it in the image below. There was no value provided for f, therefore, an input value of 1 was passed to it. As you can see from the graph, the equation graphs as an inclined line that revolves around -2 as its x-intercept. This is because the -1.2 changes the value of the x-coordinate when g(x) is 0. Instead of it being 2 it is -2, and therefore all other values revolve around this number.

The graph of the function g(x) = -1/2f(x+2) is given below.

To graph the function g(x) = -1/2f(x+2), we need to first understand the properties of the function f(x) and then apply the necessary transformations.

Given that the function f passes through the points (3, 0) and (4, 2), we can determine the slope of the line using the formula:

slope = (change in y) / (change in x) = (2 - 0) / (4 - 3) = 2 / 1 = 2

Therefore, the slope of the function f is 2.

Now, let's apply the transformations to the function f(x) to graph g(x). The given function g(x) = -1/2f(x+2) involves two transformations:

Horizontal Translation: The function f(x) is shifted horizontally to the left by 2 units because of the term (x+2) inside the function. This means that the x-coordinates of the points on the graph will be reduced by 2 units.

Vertical Scaling: The function f(x) is scaled vertically by a factor of -1/2 because of the coefficient -1/2 in front of f(x). This means that the y-coordinates of the points on the graph will be multiplied by -1/2.

Therefore, the function g(x) is g(x) = -x + 1.

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Answer:

y^2 + 5y = 0

y(y + 5) = 0

y = 0, -5

The answer is y = 0 and y = -5.

The given question :

Yes, it is possible to have a 5 × 5 matrix, a, of rank 4 such that the system ax = 0 has only the solution x = 0.

The rank of a matrix refers to the maximum number of linearly independent rows or columns it contains. In this case, we have a 5 × 5 matrix, a, with rank 4. This means that there are four linearly independent rows or columns in matrix a.

For the system ax = 0, where x is a vector of unknowns, having only the trivial solution x = 0 means that there are no other non-zero solutions that satisfy the equation. In other words, the only way to satisfy ax = 0 is by setting all the components of x to zero.

It is possible to construct a 5 × 5 matrix with rank 4 in such a way that the system ax = 0 has only the trivial solution. This can be achieved by carefully selecting the values in the matrix to ensure that the equations are linearly independent, thereby eliminating any non-zero solutions.

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the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.

A force applied across a distance is what is referred to as work.

In this problem,

the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft).

Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.Work is a force applied across a distance, and it is measured in a unit of energy called foot-pounds. In this problem, the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft). Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done. This means that 500 ft-lb of energy must be expended in order to move the cable 100 ft. This energy can be provided by a variety of sources, such as human labor, a motor, or some other mechanism.

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In any triangle, the greatest angle is opposite to the greatest side and the smallest angle is opposite to the smallest side.

Knowing that, first let's find the measure of the third angle, using the property that the sum of internal angles in any triangle is equal to 180°:

The smallest angle is C, so the smallest side is DE.

The greatest angle is E, so the greatest side is CD.

Therefore the order is:

DE < CE < CD

This situation should be analyzed using a two-sample independent method. The two-sample independent method is used when comparing two independent groups, in this case, taxi ride times in San Diego and Phoenix. The two-sample paired method is used when comparing the same group under two different conditions, which is not the case here, as the taxi ride times are taken from two separate cities. There is no common characteristic that makes these data paired.

A two-sample independent method is used to compare the means of two independent populations, which is appropriate for this situation. The independent samples t-test is a common statistical test used to compare the means of two independent populations.On the other hand, if the data were obtained from the same set of taxis in both cities or from the same set of riders in both cities, then the situation would be a paired situation, and a two-sample paired method would be more appropriate.Paired data refers to data that is collected from the same sample, subject, or group at different points in time or under different conditions. For example, if the data were obtained from the same set of taxis in both cities, then the data would be paired because each taxi in San Diego would have a corresponding taxi in Phoenix. Similarly, if the data were obtained from the same set of riders in both cities, then the data would be paired because each rider in San Diego would have a corresponding rider in Phoenix.In summary, since the data in this situation were obtained from two different cities, a two-sample independent method is appropriate. If the data were obtained from the same set of taxis or riders in both cities, a two-sample paired method would be appropriate.

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Answer

The answer is 13

Step-by-step explanation:

1- Subtract the Input numbers from the Output numbers

2- Then subtract 4 from 17 .

3 You get 13

The probability of a student spending time reading given that the student spends time watching TV is  \(P(Reading|Watching\:\:TV)=0.12\)

If any two occurrences in sample space S, A and B, are specified, then the conditional probability of event A given B is:

\(P(A|B)=\frac{P(A\:and\:B)}{P(B)}\)

Probability theory is an important branch of mathematics that is used to model and analyze uncertain events in various fields, including science, engineering, finance, and social sciences. The concept of probability is based on the idea of random experiments, where the outcomes are uncertain and can vary each time the experiment is performed.

The probability of an event can be determined by analyzing the possible outcomes of the experiment and assigning a probability to each outcome based on the assumptions of the model. The theory of probability has several applications in real life, such as predicting the outcomes of games of chance, evaluating risks in insurance and finance, and making decisions in scientific research.

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According to the question, the region is bounded by the curve with the given data as \(x = y^{3} , x=1, y=0.\)

To compute the volume of the solid, use the disk method. The given object is rotated along the horizontal axis with the disk cross sectional area and the volume can be written as:

\(v=\int\limits^a_b {\pi x^{2} } \, dx\)

As per question, when x = 1 then the value of y is: y = 1

Now, substituting calculated values in the expression:

\(v=\int\limits^a_b {\pi x^{2} } \, dx=v=\int\limits^0_1 {\pi x^{2} } \, dx\)

Substitute the value of the variable 'x':

Therefore, the expression can be written as:

\(v=\int\limits^a_b {\pi x^{2} } \, dx=v=\int\limits^0_1 {\pi x^{2} } \, dx=\int\limits^0_1 {\pi (y^{3}) ^{2} } \, dx=\frac{\pi }{7}=0.448\)

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The probability that it is gold is (1/3).

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. If two events are mutually exclusive, then there is a 0 percent chance that they will both happen at the exact moment. Two events are said to be mutually exclusive if they share no elements (their intersection is the empty set). Consequently, P(A∩B)=0.

Let A be the event that a gold marble is picked.

Let B₁ and B₂ be the event that the first bag is chosen and the second bag is chosen respectively.

Given: P (B₁ ) = 2.P(B₂)

Also, P(B₁) + P(B₂) = 1

∴ 2P(B₂) + P(B₂) =1

3P(B₂) = 1

P(B₂) = 1/3 and  P(B₁) = 2/3

Now

P(A)

= P(A∩(B₁∪B₂))

= P[(A∩B₁)∪(A∩B₂)]

Probability adds up because the events are mutually exclusive

= P(A∩B₁) + P(A∩B₂)

= P(B₁). P(A/B₁) + P(B₂). P(A/B₂)

= (2/3)×(3/16) + (1/3)×(15/24)

= (1/3)

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