A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips,style of car and other features. The distribution of the number of months in service for the fleet of cars isbell-shaped and has a mean of 38 months and a standard deviation of 7 months. Using the 68-95-99.7(Empirical) Rule, what is the approximate percentage of cars that remain in service between 45 and 59months?The approximate percentage of cars that remain in service between 45 and 59 months is%. Do notenter the percent symbol.)Question Help: Video

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.

By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.  

Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.  

Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.

Therefore,

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

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Answer:

After solving the pair of simultaneous equations we get x=5 and y=1. Solution Set = {5,1}

Step-by-step explanation:

We need to solve the pair of simultaneous equations

\(0.6x-4y=-1\\0.8x-3.5y=0.5\)

We can solve using substitution method.

Let:

\(0.6x-4y=-1--eq(1)\\0.8x-3.5y=0.5--eq(2)\)

Find value of x from eq(1) and put it in eq(2)

\(From \ eq(1):\\0.6x-4y=-1\\0.6x=-1+4y\\x=\frac{-1+4y}{0.6}\)

Putting in equation 2

\(0.8x -3.5y =0.5\\0.8(\frac{-1+4y}{0.6})-3.5y=0.5\\1.33(-1+4y)-3.5y=0.5\\-1.33+5.32y-3.5y=0.5\\-1.33+1.82y=0.5\\1.82y=0.5+1.33\\1.82y=1.83\\y=\frac{1.83}{1.82}\\y=1.00\)

So, we get value of y= 1.00

Now finding value of x by putting value of y in eq(1)

\(x=\frac{-1+4y}{0.6}\\x= \frac{-1+4(1.00)}{0.6}\\x=\frac{3}{0.6}\\x=5\)

We get value of x = 5

So, After solving the pair of simultaneous equations we get x=5 and y=1. Solution Set = {5,1}

Answer:

Step-by-step explanation:

From the given information:

The number of children that were randomly allocated to each vaccination group; n₁ = 200,000

No of polio cases X₁ = 57

Now, in the vaccine group:

the proportion of polio cases is:

\(\hat p_1 = \dfrac{57}{200000}\)

=  0.000285

The number of children that were randomly allocated to the placebo group, n₂ = 200,000

No of polio cases X₂ = 142

In the placebo group

the proportion of polio cases is:

\(\hat p_2 = \dfrac{142}{200000}\)

Null and alternative hypothesis is computed as follows:

H₀: There is no difference in the proportions of polio cases between both groups.  

H₁: There is a difference in the proportions of polio cases between both groups.

Let assume that the level of significance ∝ = 0.05

The test statistic  can be computed as:

\(Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}\)

\(Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}\)

\(Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}\)

Z = - 6.03

P-value =  2P(Z < -6.03)

From the Z - tables

P-value =  2 × 0.0000

= 0.000

We reject the H₀ provided that P-value is very less.

Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.

Step-by-step explanation:

NOT rolling a four means out of six posssible rols you can roll a 1.2.3.5 or 6

 or      5 / 6

Answer:

d. 35

Step-by-step explanation:

y = 35x + 40

The slope is 35 as 'm' is the slope of the equation

LMK IF IT WAS RIGHT!!

Answer:

D (35)

Step-by-step explanation:

A subtraction expression for each length OB and AB is  \(OBX = \sqrt (x - 4)^2 + (y - 2)^2] + 2 \sqrt (1 - x)^2 + 16] - y.\)

Let r be the radius of the circle. Then we have:

r = distance(O, B)

We can use the distance formula to find the distance between two points:

distance(P, Q) = √[(x2 - x1)² + (y2 - y1)²]

where P = (x1, y1) and Q = (x2, y2)

Substituting O = (4, 2) and B = (x, y), we get:

r = distance(O, B) = √[(x - 4)² + (y - 2)²]

Now, let's consider the subtraction expression:

OBX-2 AB-y+h

We can simplify this expression as follows:

\(OBX = r + 2 AB = \sqrt{[(x - 4)^2 + (y - 2)^2] } + \sqrt[2]{[(1 - x)^2 + (6 - y)^2]}\)

We don't need to include the variables y and h in the expression since they were not defined in the problem. So the final subtraction expression for OBX is:

\(OBX = \sqrt{ [(x - 4)^2 + (y - 2)^2]} + \sqrt[2]{[(1 - x)^2 + 6]-y} .\)

Therefore, the expression is OBX \(= \sqrt(x - 4)^2 + (y - 2)^2] + 2 \sqrt(1 - x)^2 + 16] - y.\)

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If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

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In a case whereby the function is y = -5x + 4, the range of the function of the domain is  {14, 4, -21}

A function's range  serves as one which encompass conceivable values for y. Y = f(x) is the formula to determine a function's range.

We were told to get the range of the function,  which implies that we will be plugging each value in the domain into the given function  so that we can observe the output (y-value) .

When x = -2:

y = -5(-2) + 4 = 1

When x = 0:

y = -5(0) + 4 = 4

When x = 5:

y = -5(5) + 4 = -21

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Answer:

x=-22.42

Step-by-step explanation:

-18.43=3.99+x

Move the variable to the left-hand side and move the constant to the right. Change their signs.

-x=3.99+18.43

Add.

-x=22.42

Change the signs on both sides of the equation.

x=-22.42

Hope this helps :)

Answer:

what is the question? where is the diagram?

The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

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Answer:

1/18

Step-by-step explanation:

First you would add 1/2 and 1/2 to get 1 then you would divide it by 18 to get 1/18

Answer:

1/18

Step-by-step explanation:

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Answer:

-3/8 + 1/6 = -5/24

Step-by-step explanation:

The answer is -5/24 because -3/8 and 1/6 with a common denominator is -9/24 + 4/24 and this equals -5/24.

P.S Can I have brainliest?

The graph of the function is attached below.

The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.

Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.

We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.

In the given problem;

The graph of the function f(x) = 1 + x / x² - 1 is attached below;

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Answer:

9/3 16/8

Step-by-step explanation:

Answer:

i do bellieve it is c

Step-by-step explanation:

The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.

Let x be the hotel charge before tax in the first city, and y be the hotel charge before tax in the second city. Then we have:
y = x + 1500   (the hotel charge before tax in the second city was $1500 higher than in the first)
0.075x + 0.05y = 825   (the total hotel tax paid for the two cities was $825)
We can use the first equation to solve for y in terms of x:
y = x + 1500
Then we can substitute this expression for y into the second equation:
0.075x + 0.05(x + 1500) = 825
Simplifying this equation, we get:
0.075x + 0.05x + 75 = 825
0.125x = 750
x = 6000
So the hotel charge before tax in the first city was $6000. Using the first equation, we can find the hotel charge before tax in the second city:
y = x + 1500
y = 6000 + 1500
y = 7500
So the hotel charge before tax in the second city was $7500.
Therefore, the answer is: The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.

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The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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Answer:

1 to 4

Step-by-step explanation:

I don't think u want the explanation

The frequency distribution table shows the distribution of the rice consumed by the families

From the question, we have the interval to be:

Interval = 6

Start by calculating the range

Range = Highest - Least

This gives

Range = 60 - 20

Range = 40

Calculate the class width

Width = Range/Interval

This gives

Width = 40/6

Width = 7

So, the classes are: 20 - 26, 27 - 33, 34 - 40, 41 - 47, 48 - 54 and 55 - 61

Using the above classes, we have the following frequency distribution table.

Class Frequency

20 - 26 6

27 - 33 3

34 - 40 7

41 - 47 4

48 - 54 3

55 - 61 4

From the above Frequency Distribution Table, the interval with the highest frequency is 34 - 40

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

$3062

Step by Step Explanation:

Arturo's rent can also be written as an expression

2t + 50

This is basically showing that two of Tom's rent plus $50 gives you his brother's rent.

So 2(1506) + 50

3012 + 50

3062

Answer:

25

Step-by-step explanation:

Using the Pythagorean theorem, we need to calculate

15^2+20^2=x^2, which simplifies to:

225+400=x^2,

625=x^2

and since 25^2 equals 625, the answer is AC=25  

Which ordered pairs are in the solution set of the system of linear inequalities?

y > Negative one-halfx

y < One-halfx + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 0) and (4, negative 2). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 2, 0) and (2, 2). Everything below the line is shaded.

(5, –2), (3, 1), (–4, 2)

(5, –2), (3, –1), (4, –3)

(5, –2), (–3, 1), (4, 2)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

give me brainliest

Answer:

$185.19

Step-by-step explanation:

Answer:

-2x^2 - 2x + 5

Step-by-step explanation:

Combine like terms (same variable and degree) to simplify

3x^2-5x^2+5x-7x+3+2

-2x^2-2x+5

Answer:

Combining like terms, we get:

-2x² - 2x + 6

• Volume of pentagonal prism = area of base x height

Volume = 247 unis^3

height = 13 units

Replacing:

V = A x h

A = V / h

A = 247/13 = 19 units^2

Answer:

0.4,3/5,5/8,74%

Step-by-step explanation:

Change them all into decimals.

Get 0.4,0.625,0.74,0.6

Then reorder and see what their original values were

Ratio = 2 : 5

Numbers = 2x & 5x

\(2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3\)

Numbers :-

2x = 2 × 3 = 6

5x = 5 × 3 = 15.

The numbers are 6 & 15.