Question 9 of 10
The graphs below have the same shape. What is the equation of the blue
graph?

Plssssss help

Answer:

  5

Step-by-step explanation:

Substitute the given values and do the arithmetic.

  \(0.3y+\dfrac{y}{z}=0.3\cdot 10+\dfrac{10}{5}=3+2=\boxed{5}\)

The number 3.01 is a statistic, the symbol for the number 3.01 is μ_hat; and To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours).

The number 3.01 is a statistic.

The symbol for the mean number of hours per day spent watching TV for the sample of 100 Cal Poly students is μ_hat.

To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours). The null hypothesis is that the population mean (μ) is equal to 2.75 hours, and the alternative hypothesis is that the population mean is not equal to 2.75 hours.

Steps to find p-value:

1. Calculate the difference between the observed mean and the hypothesized mean: d = μ_hat - 2.75 hours

2. Generate a large number of random samples with the same sample size as the original sample, and calculate the mean of each sample.

3. Calculate the difference between the mean of each sample and the hypothesized mean and store the values in a list.

4. Count the number of differences that are equal to or greater than the difference between the observed mean and the hypothesized mean (d).

5. Divide the count by the total number of simulations to get the p-value. This gives us the probability of getting a sample mean equal to or greater than the observed mean if the null hypothesis is true.

6. Compare the p-value with the significance level (α) to determine whether to reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the data provide evidence that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

If the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

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--The given question is incomplete; the complete question is

"Reconsider Dr Sameer's research question about how much time Cal Poly students spend watching television. Suppose that Dr Sameer surveys a random sample of 100 Cal Poly students, and for this sample, the mean number of hours per day spent watching TV turns out to be 3.01 hours.

1. Is the number 3.01 a parameter or a statistic?

2. Assign an appropriate symbol to the number 3.01.

3. Describe how you can conduct a simulation‐based test of significance to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours. Be sure to provide details on how one would find a p‐value."--

Answer:

x = 36

Step-by-step explanation:

5x - 30 + 7 - 3 - 10 = 4x

-36 = 4x - 5x

-6 = -x

x = 36

Answer:

Step-by-step explanation:

18x + -2x = 16x in other words 18x - 2x = 16x

Answer:

The functions are:

f(x) = $14.75*x + $2

s(x) = $12.25*x + $17

Both iSpice and Spice Magic charge $90.50 for 6 pounds of paprika.

Step-by-step explanation:

A linear equation has the general shape:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the function passes through the points: (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Ok, knowing this, let's look at the first table, we need to work with only two points, so let's use the first one (1, $16.75) and the second one (2, $31.50)

Then the slope of the equation is:

a = ($31.50 - $16.75)/(2 - 1) = $14.75

Then the equation is something like:

y = f(x) = $14.75*x + b

To find the value of b, we can use one of the two points. For example, the point (1, $16.75) means that when x = 1, we must have y = $16.75

Replacing these values in the equation we get:

$16.75 = f(1) = $14.75*1 + b

$16.75 - $14.75 = b = $2

Then the function f(x) is:

f(x) = $14.75*x + $2

Now let's go to the other function, again we can choose two points, let's use the first one (1, $29.25) and the third one (3, $53,75).

Then the slope is:

a = ($53.75 - $29.25)/(3 - 1) = $12.25

Then the equation is something like:

y = s(x) = $12.25*x + b

To find the value of b we do the same as before, if we use the first point (1, $29.25) we get:

$29.25 = s(1) = $12.25*1 + b

$29.25 - $12.25 = b = $17

Then this equation is:

y = s(x) = $12.25*x + $17

The two equations are:

f(x) = $14.75*x + $2

s(x) = $12.25*x + $17

b) now we want to find the value x such that the price is the same in both cases, then we need to solve:

f(x) = g(x)

$14.75*x + $2 =  $12.25*x + $17

$14.75*x - $12.25*x = $17 - $2

$2.5*x = $15

x = $15/$2.5 = 6

This means that for 6 pounds of paprika the price is the same on both companies, and the price is:

f(6) = g(6) = $14.75*6 + $2 = $90.50

Answer: one senior ticket is $8 and one student ticket is $14

Hope this helps a little

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)

Therefore,

\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)

So, \(log4 (0.5^(1/2)) =-0.0752\)

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Answer:

A disadvantage to using equations for solving problems might be that it can be difficult to remember what an equation means without a diagram, graph, or table (Option A).

Step-by-step explanation:

Answer:

Decreasing.

Step-by-step explanation:

Answer:

The answer is C. Decreasing. The reason why it is c is because if you look at the graph time does not go backwards. :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want a system of equations and a graphical solution for the scenario that the weight of peaches sold (y) is 3 times the weight of apples sold (x), and the revenue from sales of apples at $3/lb and peaches at $4/lb was a total of $240.

The revenue equation can be ...

  3x +4y = 240

The relation between pounds of each fruit sold can be ...

  y = 3x

The graph is attached. The solution is (x, y) = (16, 48).

16 pounds of apples and 48 pounds of peaches were sold.

__

Additional comment

We note that the 3x in the first equation can be substituted by y using the second equation. This gives 5y=240, or y = 48. Then 3x=48, so x=16. This agrees with the graphical solution, as it should.

Answer:

below

Step-by-step explanation:

1/15 = 1 divided by 15 =  .06      (underlined part repeats)

Answer:

5 2/10 or 520%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Range is largest value - smallest value. 12-3=9! EZ

a) The probability that the test comes back negative for all six people is  95.8%,

b)  The probability that the test comes back positive for at least one of the six people is 4.2%.

(a) To find the probability that the test comes back negative for all six people, we can use the fact that the test is 99.3% effective in accurately detecting the absence of the antibody.

Since the test is 99.3% effective, the probability of it coming back negative for each individual who does not have the antibody is 0.993. Therefore, the probability that the test comes back negative for all six people is calculated as follows:

P(negative for all 6) = (0.993)^6 ≈ 0.958

Therefore, the probability that the test comes back negative for all six people is approximately 0.958, or 95.8%.

(b) To find the probability that the test comes back positive for at least one of the six people, we need to consider the probability of a false positive.

The probability of a false positive, which is the probability of the test coming back positive when the antibody is not present, is given as 0.007. Therefore, the probability of the test correctly identifying the absence of the antibody is 1 - 0.007 = 0.993.

The probability that the test comes back positive for at least one person is the complement of the probability that the test comes back negative for all six people. So we can calculate it as follows:

P(positive for at least one person) = 1 - P(negative for all 6) ≈ 1 - 0.958 = 0.042

Therefore, the probability that the test comes back positive for at least one of the six people is approximately 0.042, or 4.2%.

In summary, the probability that the test comes back negative for all six people is approximately 95.8%, while the probability that the test comes back positive for at least one of the six people is approximately 4.2%.

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The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

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Answer:x intercept: (-16/3 ,0) y intercept: (0,8). bascially: (-16/3,8)

Step-by-step explanation:

Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

According to the Pythagorean theorem, The Answer is Yes the third side is greater than 1 foot.

A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

p=1 foot

b=1 foot

\(h^{2} = p ^{2} + b ^{2}\)

\(h=\sqrt {1^{2}+1^{2}}\\=\sqrt 2\\=1.41\\\)

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The Interpretatiom of the equation is that;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

The algebra word problem can be solved by using variables to denote certain parameters I'm the question.

The general form of equation of a line in slope intercept form is;

y = mx + c

Where;

m is slope

c is y-intercept

We are given the equation:

$25w + $65

This equation represents the amount of money Kelly will have saved after some amount of weeks.

Thus;

w represents number of weeks she will have saved for the remaining items

$25 represents the amount she saves per week

$65 represents the amount she has already saved

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Answer:

A

Step-by-step explanation:

300-50-70+20

Answer:

I believe it would be answer A.

Step-by-step explanation:

When depositing, you're make an addition. Withdrawing, is removing. Making these checks had removed about 120 dollars out of his bank account, meaning the equation would be 300-50-70+20.

Hope this helps! :D

Answer:

11) In an isosceles right triangle, the length of the hypotenuse is √2 times the length of each leg.

\(m = n = \frac{12}{ \sqrt{2} }( \frac{ \sqrt{2} }{ \sqrt{2} }) = 6 \sqrt{2} \)

12) In a 30°-60°-90° right triangle, the length of the longer leg is √3 times the length of the shorter leg, and the length of the hypotenuse is twice the length of the shorter leg.

\(a = \frac{7}{2} = 3 \frac{1}{2} \)

\(b = \frac{7 \sqrt{3} }{2} \)

Answer:

a. A completely randomized design experiment

Step-by-step Explanation:

An experiment that is completely randomised is practically an effective way of controlling and reducing the influence of the confounding variables in a research study, especially when you have a sample that is large enough.

Randomisation will ensure that both the group that will wear the new shoe (treatment group) and the group that will not wear the new shoe (control group) will have averagely the same values for age and height. This will eliminate the chances of these confounding variables of correlating with the independent variable in the study, as there would be no difference, in terms of characteristics, between both groups.

Answer:

whats the question

Step-by-step explanation:

There were four (4) "F"s. Therefore, the correct answer is option D: "4".

The total number of residents who gave a grade to the new dining plan is 234 + 148 + 87 + 9 = 478, which is less than the total number of residents in the residence hall (482). This means that 482 - 478 = 4 residents did not give a grade to the new dining plan.

Therefore, the number of residents who gave a grade of F to the new dining plan is 482 - (234 + 148 + 87 + 9) - 4 = 4.

Therefore, the answer is D: 4, meaning that there were 4 "Fs".

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Answer:

x= -15

w= -55

Step-by-step explanation:

I am assuming that you have to find "x" and "w."

Substitute the equations for w.

4x+5=3x-10

Subtract 3x from both sides of the equation.

x+5= -10

Now, subtract 5 from both sides of the equation.

x= -15

Plug in -15 for x in one of the equations.

w= 4*-15+5= -60+5= -55

Answer:

  a. the investment earns 4%

  b. yes

Step-by-step explanation:

The "rule of 72" says that an investment earning compound interest at x% will double in value after 72/x years. That is, ...

  f(x) = 72/x

__

We interpret f(4) to mean Becky's friend is interested in the doubling time for an investment that earns 4% interest.

__

Using the above formula, ...

  f(4) = 72/4 = 18

The friend's math is correct.

The True statements are:

Each element of X is given exactly one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

For D (x) = 2 x:

- x is the independent variable,

- D ( 6 ) = 2 · 6 = 12.

10 = 2 · 5,     12 = 2 · 9,     - 4 = 2 · ( - 2 ).

True statements are:

A ) D ( x ) is a function.

D ) D ( x ) is a direct variation.

E ) D ( x ) is a rule for the set of points ( 5, 10), ( 6, 12 ) and ( -2, - 4 ).

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Answer:

https://brainly.com/question/2574086b

Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

Given two points, the equation of the line may be determined by,

                           y - y1 = ((y2 - y1) / (x2 - x1))(x - x1)

Substituting the given values,

                               y - 7 = ((9 - 7) / (6 - 3))(x - 3)

Simplification will yield to an answer of,

                                    y = 2x/3 +5

Thus, the answer is the second choice.