-7/9x-4/45x+1/5x=-60

Answer:

where is your circle graph

Step-by-step explanation:

i need the graph in order to solve this

Number of phone calls the first evening: 17

Number of phone calls the second evening: 88

Number of phone calls on the third evening:​ 22

Given that Lena received a total of 127 phone calls at the call center.

On the third evening, she received 5 more calls than the first evening.

On the second evening, she received 4 times as many calls as on the third evening.

We have to calculate, How many phone calls did she receive each evening?

Let's say on the first day she received x calls

then the number of calls received on the third day = x + 5

number of calls received on second day = 4(x + 5)

Now, x + x + 5 + 4(x + 5) = 127 ( given )

6x + 25 = 127

6x = 102

x = 17

So the number of calls received on the first day = is 17

number of calls received on the second day = 88

number of calls received on the third day = 22

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Answer:

every option but the first one

Step-by-step explanation:

5 and 7 are verticals meaning they have the same angle degree

7 and 4 are supplementary angles meaning the sum of them = 180

1 and 7 are corresponding meaning they have the same angle degree

A nonlinear regression model is represented by the equation y = 1/(a0 + B1x) + u, thus option C is the correct answer.

The nonlinear regression model is an extension of the linear regression model. It's used to fit more complex models to data and determine the relationship between variables that cannot be explained by a straight line. A nonlinear regression model is a statistical method that analyzes data that is not linear. There are many forms of nonlinear regression models, each with its assumptions and properties. These models are frequently used in finance, economics, biology, engineering, and other fields to predict outcomes that can not be predicted using linear regression models. Nonlinear regression models are advantageous over linear models because they are more accurate, as they can model data that does not conform to a straight line.

A nonlinear regression model can be expressed in a general way as y = f (x, β) + ε, where y is the dependent variable, x is the independent variable, β is the set of unknown parameters, f( ) is the nonlinear function, and ε is the error term. The model requires the estimation of the unknown parameters in β. This type of model can be used to model several types of non-linear phenomena such as exponential growth and decay, power laws, and asymptotic trends.

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Answer:

£1430

Step-by-step explanation:

Given data

Principal =£1100

Rate= 5%

time = 6 years

The simple interest formula is

A=P(1+rt)

substitute

A=1100(1+0.05*6)

A=1100(1+0.3)

A=1100(1.3)

A=1100*1.3

A=£1430

Hence the balance is £1430

Answer:

What Line? it doesnt touch the x or y axis.

Step-by-step explanation:

Answer:

Step-by-step explanation:

let smaller be x

larger number is x+5

4x-3(x+5)=29

4x-3x-15=29

x=29+15=44

x=44

larger number is 49

The numeric value of the composite function at x = 1 is given as follows:

(h ∘ k)(1) = 28.

The composite function of f(x) and g(x) is given by the rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, in this example g(x), serves as the input of the outer function, in this case f(x).

Hence the numeric value at x = 1 for the function in this problem is:

h(k(1)).

The numeric value of k at x = 1 is:

k(1) = 3.

Then, as the numeric value of h at x = 3 is of 28, the composite function is:

(h ∘ k)(1) = 28.

The problem is given by the image presented at the end of the answer.

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Given a ray passing through a line at an angle of 29 degrees, the angle opposite to it (angle R) can be found by subtracting 29 degrees from 180 degrees. Therefore, the value of angle R is 151 degrees.

We are given that a ray passes through a line, making an angle of 29 degrees with the line. Let us represent this situation as follows

The angle R represents the angle opposite to the angle of 29 degrees. Since the ray and the line form a straight line, their angles add up to 180 degrees. Therefore, we can write

angle R + 29 degrees = 180 degrees

To solve for angle R, we can subtract 29 degrees from both sides of the equation

angle R = 180 degrees - 29 degrees

Simplifying the expression, we get

angle R = 151 degrees

Therefore, the value of angle R is 151 degrees.

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Answer:

it has an error of 15 more then the actual temperature

Step-by-step explanation:

to find the change all you have to do is just subtract 340 -325 that is 15 so if the oven was 100 it would show 115

Answer:

For the first one:

A' (-8,6)

B' (-9,10)

C' (-3,9)

D' (-2,5)

Step-by-step explanation:

Answer:

\(Cost \ total= \$ 1755\)

Step-by-step explanation:

Find the total cost of a rectangular shaped carpet, given the carpets length,  width, and the cost of carpet per square foot. Using the formula for the area of a rectangle.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Area of a Rectangle:}}\\\\A=l \times w\end{array}\right}\)

Where...

Given:

\(l=15 \ ft\\w=9 \ ft\\ 1 \ ft^2= \$ 13\)

Find:

\(Cost \ total = \ ?? \\)

(1) - Calculating the total area of the carpet, which is a rectangle

\(A=l \times w\\\\\Longrightarrow A=15 \ ft \times 9 \ ft\\\\\therefore \boxed{A=135 \ ft^2}\)

(2) Calculate the total cost of the carpet by multiplying the total area of the carpet by the cost of one square foot of carpet

\(Cost \ total=135 \ ft^2 \times \$ 13\\\\\therefore \boxed{\boxed{Cost \ total= \$ 1755}}\)

Thus, the total cost of the carpet is found.

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side a

Using Pythagoras theorem we have

a² = b² + c²

where

a is the hypotenuse

So we have

\( {a}^{2} = {60}^{2} + {32}^{2} \\ a = \sqrt{3600 + 1024} \\ a = \sqrt{4624} \)

We have the final answer as

Hope this helps you

Answer: 7 mi

r = √153.9/pi

r = √49.01

r = 7

Answer:

165/r = 225/(r + 20)

225r = 165(r + 20)

225r = 165r + 3,300

60r = 3,300

r = 55 mph

The speed of the slower car was 55 mph.

The correct answer is A.

Answer:

The answers are option b and option e

Answer:

29.5 or 30 if rounded

Step-by-step explanation:

Add all of the numbers then divide by how many there is 30

886 divide by 30

= 29.5

Hope this helps!!!

The probability that Bentley selects a striped egg and Johnny selects a polka dotted egg is 35/132.

The probability of Bentley selecting a striped egg on the first pick is 7/12

After Bentley selects an egg, there are 11 eggs remaining in the basket, of which 5 are polka dotted.

So the probability of Johnny selecting a polka dotted egg on the second pick = 5/11.

To find the probability of both events happening, we multiply the probabilities:

P(Bentley selects striped and Johnny selects polka dotted) = (7/12) * (5/11)

P(Bentley selects striped and Johnny selects polka dotted) = 35/132

Therefore, the probability that Bentley selects a striped egg and Johnny selects a polka dotted egg is 35/132.

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The most appropriate statistical procedure to answer this research question would be a two-sample t-test for means.

In this particular case, the research question is related to a Star Trek scenario, where two groups of people have different levels of experience with the franchise.

The most appropriate statistical procedure to answer this research question would be a two-sample t-test for means.

This is because the two-sample t-test for means is used when two independent samples are compared to determine if there is a significant difference between the means of the two samples.

This is useful in this scenario, as it will allow us to compare the levels of experience between the two groups and determine if there is a statistically significant difference between them.

The two-sample t-test for means is the most appropriate statistical procedure for this task, as it allows us to compare the means of two independent samples and determine if there is a statistically significant difference between them.

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Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

Answer:

First one is 4 and the second one is 0

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

There are two arcs a major and a minor arc. You should never have to rely on a diagram to get the right answer.

The circumference is 2 * pi * r

r = 6 km

C = 2* pi * 6

C = 12 pi

The arc size is

arc size = 135 / 360 * 12pi

arc size = 3/8 * 12 pi

arc size = 4 1/2 pi = 9 pi /2  km

No, every 2-approximation algorithm for finding a minimum vertex cover is not necessarily a 2-approximation algorithm for finding a maximum independent set.

The reason for this is that the two problems, minimum vertex cover and maximum independent set, are not symmetric in their definitions and objectives.

In the minimum vertex cover problem, the goal is to find the smallest possible set of vertices that covers all edges in the graph. On the other hand, in the maximum independent set problem, the objective is to find the largest possible set of vertices such that no two vertices in the set are adjacent.

An approximation algorithm for the minimum vertex cover problem guarantees that the size of the vertex cover found by the algorithm is at most twice the size of the optimal minimum vertex cover. This means that the algorithm provides a solution that is within a factor of 2 of the optimal solution.

However, this does not imply that the same algorithm will provide a solution within a factor of 2 of the optimal maximum independent set. The reason is that the concepts of vertex cover and independent set are complementary. A vertex cover is a set of vertices that covers all edges, whereas an independent set is a set of vertices with no adjacent vertices.

Therefore, while a 2-approximation algorithm for minimum vertex cover guarantees that the size of the vertex cover is at most twice the size of the optimal solution, it does not necessarily imply that the algorithm will find a maximum independent set with a size within a factor of 2 of the optimal solution.

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We can reject the null hypothesis and conclude that there is enough evidence to contradict the claim that the population standard deviation is σ = 96.

To test whether the sample data provides sufficient evidence to contradict the claim that the population standard deviation is σ = 96, we can perform a hypothesis test.

Part 1 of 5: State the null and alternative hypotheses.

The null hypothesis (H0) is that the population standard deviation is σ = 96.

The alternative hypothesis (Ha) is that the population standard deviation is not equal to 96.

H0: σ = 96

Ha: σ ≠ 96

Part 2 of 5: Find the critical values.

Since the significance level (α) is given as 0.10, we need to find the critical values corresponding to this level. The critical values depend on the sample size and the degrees of freedom, which is n - 1 in this case. Since the sample size is 26, the degrees of freedom is 25.

Using a t-distribution table or a statistical calculator, the critical values for a two-tailed test at α = 0.10 and 25 degrees of freedom are approximately -2.485 and 2.485.

Part 3 of 5: Compute the test statistic.

The test statistic for testing the population standard deviation is the chi-square statistic, which is calculated as:

χ² = (n - 1) * s² / σ²

Given that n = 26 and s = 87, and assuming σ = 96 as claimed, we can compute the test statistic as:

χ² = (26 - 1) * 87² / 96²

Part 4 of 5: Determine whether to reject H0.

To determine whether to reject the null hypothesis, we compare the test statistic to the critical values. If the test statistic falls outside the range of critical values, we reject the null hypothesis.

If the test statistic falls within the range of critical values, we fail to reject the null hypothesis.

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The values of the expressions, obtained by the combination of the functions, f(x), g(x), and h(x), and found by plugging in the values of the specified function at the indicated value of x are;

17. g(9) + h(-14) = 15

19. (1/2)·g(-6) + f(-2) = -22

21. x = -12

A function defines the relationship between an input variable and an output variable, such that each input produces only one value of the output.

The functions, f(x), g(x), and h(x), are defined as follows;

f(x) = -x² + 8·x - 11

\(g(x) =14-\dfrac{2}{3} \cdot x\)

h(x) = -x - 7

17. The value of g(9) can be found by plugging x = 9, in the function for g(x) as follows;

\(g(9) =14-\dfrac{2}{3} \times 9= 8\)

g(9) = 8

Similarly, the value of h(-14), can be found by plugging in x = -14, in the function for h(x) as follows;

h(-14) = -(-14) - 7 = 7

h(-14) = 7

Therefore, g(9) + h(-14) = 8 + 7 = 15

19. The value of g(-6), can be found as follows;

\(g(-6) =14-\dfrac{2}{3} \times (-6)= 18\)

g(-6) = 18

Similarly, for f(-2), we get;

f(-2) = -(-2)² + 8 × (-2) - 11 = -31

Therefore;

\(\dfrac{1}{2}\cdot g(-6) +f(-2) = \dfrac{1}{2} \times 18 + (-31) = 9 - 31 = -22\)

21.  h(x) = -x - 14

If the value of h(x) = -2, we get;

h(x) = -2 = -x - 14

14 - 2 = -x

-x = 12 (symmetric property)

Dividing both sides by (-1), we get;

-x/(-1) = x = 12/(-1) = -12

x = -12

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