Please help:
89345+7899-5/2*8=?​

Answer:

The answer 700 centimeters cubic.

c) Shane’s overall average number of jumps completed is of 2.458275.

d) As Shane's overall average number is greater than one half, then the eight graders will be awarded the 50 points.

The jumps that Shane takes are given as follows:

Then the probabilities for each number are given as follows:

Then the distribution of the number of jumps completed is given as follows:

The expected value of a discrete distribution is calculated as the sum of each outcome multiplied by it's respective probability, hence:

E(X) = 1 x 0.1667 + 2 x 0.208325 + 3 x 0.624975 = 2.458275.

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The percentage of students graduating from engineering or business

is ~50%

as per given in the questions

An university is divided into 6 colleges

with which the most of the students graduating from the four of the colleges given in the graph below

the percentage of students who are interested in biological science colleges are  20%

the percentage of students who are interested in mathematics  colleges are 10%

the percentage of students who are interested in Engineering colleges are  20%

the percentage of students who are interested in business colleges

are 30%

from the graph, graduating from either Engineering or Business

is = 20% + 30% = 50%

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In view of Molly's three types of bills

Therefore the first equation is    [tex]1x+5y+10z=96[/tex]

Therefore the second equation is [tex]x+1=y+z[/tex]

Therefore the third equation is [tex]x+y+z=23[/tex]

As per the details share in the above question as as follow,

x for the no, of $1 bills

y for the no. of $5 bills.

z for the no. of $10 bills.

We have to find the first, second and third equations.

Therefore worth of x $1 bills is [tex]1 \times x[/tex]

So of y for the no. of $5 bills is [tex]5 \times y[/tex]

And z for the no. of $10 bills is [tex]10 \times z[/tex]

The total worth in molly wallet is $96.

So the equation will be,

[tex]1x+5y+10z=96[/tex]

Now further is molly has one more  $1 bill then the number of $1 bill will be same as.

Therefore the second equation is [tex]x+1=y+z[/tex]

Now she had 23 bills,

We also know that she has one-dollar, five-dollar, and ten-dollar notes, with x denoting the quantity of each, Y the number of the five-dollar bill, and Z the number of the ten-dollar bill.

Therefore the third equation is [tex]x+y+z=23[/tex]

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Answer:

The solution to the system of equations is x = 28, y = -40.

Step-by-step explanation:

3x + 2y = 4

-2x + 2y = 24

---------

x = 28

3x + 2y = 4

3(28) + 2y = 4

84 + 2y = 4

2y = -80

y = -40

the solution to the system of equations is x = 28, y = -40.

The equation of the line in fully simplified slope-intercept form is y = -x/3 -1

The slope-intercept form of a straight line is used to find a line's equation. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula.

Consider a straight line with y-intercept b and slope m. For a straight line with slope "m" and y-intercept "b,"

The slope intercept form equation is: y = mx + b.

According to the question,

The line is passing through (3,-2) and (-3 ,0)

Slope of any line passing through two points = y2-y1 / x2-x1

Slope of required line: m = 0 - (-2) / -3 - 3

=> m = -2/6

=> m = -1/3

Equation of line => y = -1/3 x + b -----(1)

As we know this line is passing through (-3,0)

Substituting the value in equation(1)

=> 0 = 1 + b

=> b = -1

Hence , The equation of line is y = -1/3 x -1

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The expression of the statement 40 divided by m is 40/m

From the question, we have the following parameters that can be used in our computation:

40 divided by m

The above statement is a mathematical statement

The mathematical statement can be expressed as an expression

Recall that, we have

40 divided by m

The term "divided by" means a quotient expression

To divide is represented as / i.e. quotient

So, the expression that represents 40 divided by m is 40/m

Hence, the complete expression is 40/m

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the value of the test statistic for testing whether there is a linear relationship between the and the estimated number is 0.3506905

Using a correlation Coefficient calculator, the correlation Coefficient, r for the data = 0.127

The test statistic :

T = r² / √(1 - r²) / (n - 2)

Sample size, n = 10

Hence,

T = 0.127² / √(1 - 0.127²) / (10 - 2)

T = (0.016129 / 0.3506905)

T = 0.3506905

The value of the test statistic to 2 decimal places is 0.35

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The function t(t) can be expressed as t(t) = xt where x refers the number of stocks and t refers the number of days.

In math, the term function refers an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Here we have given that a brokerage firm keeps track of the total money spent on tesla stocks by their clients each day of the week, t(t).

And we need to find the function t(t) can be expressed.

While we looking into the given question, we have identified the that the function that represents the situation is written as t(t).

In this one t refers the number of days in the week they spend on the tesla stocks.

And here let us consider x be the number of stocks did the a brokerage firm keeps track.

So, the resulting function is written as,

=> t(t) = xt.

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The recurrence relation an = an-1 + an-3 counts the number of ways to climb n stairs if you can take either 1 stair or 3 stairs at a time.

What is a recurrence relation?

A recurrence relation is an equation that defines a sequence of values in terms of the preceding terms of the sequence. It is a mathematical tool used to define a sequence of numbers, functions, or other mathematical objects in a recursive manner.

To find a recurrence relation that counts the number of ways to climb n stairs if you can take either 1 star or 3 stairs at a time, we can use the following steps:

Identify the base cases. In this case, the base cases are the number of ways to climb 0 stairs (an = 1) and the number of ways to climb 1 stair (an = 1).

Determine the recurrence relation. For n > 1, the number of ways to climb n stairs is equal to the number of ways to climb n-1 stairs (taking 1 stair at a time) plus the number of ways to climb n-3 stairs (taking 3 stairs at a time). Therefore, the recurrence relation is:

an = an-1 + an-3

Use the base cases and the recurrence relation to determine the values of an for the desired range of n.

For example, to determine the values of an for n = 0, 1, 2, 3, 4, and 5, we can use the following table:

n | an

0 | 1

1 | 1

2 | an-1 + an-3 = 1 + 1 = 2

3 | an-1 + an-3 = 2 + 1 = 3

4 | an-1 + an-3 = 3 + 2 = 5

5 | an-1 + an-3 = 5 + 3 = 8

Hence, the recurrence relation an = an-1 + an-3 counts the number of ways to climb n stairs if you can take either 1 stair or 3 stairs at a time.

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The reasonable range for the total cost of the tickets the groups

would pay  is {84, 126, 2163}.

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.

Given:

The Function modeled for the situation is

f(x) = 21 x where x is the number of tickets sold.

So, For x= 4 Tickets

Fare, F(x) = 21 x 4= $84

and, For x= 6 Tickets

Fare, F(x) = 21 x 6 = $126

and, For x= 103 Tickets

Fare, F(x) = 21 x 103 = $2163.

Hence, the range is {84, 126, 2163}.

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The radius of the cylinder that produces the minimum surface area is 1.34cm and this can be determined by using the formula area and volume of cylinder and hemisphere.

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder.

The total volume of the solid is 10 cubic centimeters.

The volume of a cylinder is given by:

V = πr²h

The total volume of the two hemispheres is given by:

V = 2 x 2/3 πr³

Now, the total volume of the solid is given by:

V total = πr²h + 2 x 2/3πr³

Now, substitute the value of the total volume in the above expression and then solve for h.

10 =  πr²h + 4/3πr³

h = 10/πr² + 4r/3

Now, the surface area of the curved surface is given by:

A = 2πrh

Now, the surface area of the two hemispheres is given by:

A' = 2 x 2πr²

A' = 4πr²

Now, the total area is given by:

A total = 2πrh + 4πr²

Now, substitute the value of 'h' in the above expression.

A total = 2πr(h = 10/πr² + 4r/3) + 4πr²

Simplify the above expression.

dA = -20/r + 4πr²/3

Now, differentiate the total area with respect to 'r'.

dA/dr =  20/r + 8πr/3

Now, equate the above expression to zero.

0 = -20/r² + 8πr/3

Simplify the above expression in order to determine the value of 'r'.

8πr³ = 60

r = 1.34 cm

Therefore, the radius of the cylinder that produces the minimum surface area is 1.34cm

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If a linear function is increasing, the reciprocal function must be decreasing, mathematically because the reciprocal function is the inverse of the linear function

The reciprocal function of a linear function is given by the formula:

f(x) = 1/x

If a linear function is increasing, then its slope (m) is positive. This means that the slope of the reciprocal function must be negative. The slope of the inverse of a linear function is the negative reciprocal of the slope of the linear function, meaning that the slope of the reciprocal function must be negative for the linear function to be increasing.

To illustrate this, we can consider a simple example of a linear function, f(x) = 2x. This linear function has a positive slope (2), so its reciprocal function, f(x) = 1/x, must have a negative slope (-1). This means that the reciprocal function is decreasing.

In general, if a linear function is increasing, then its reciprocal function must be decreasing, as the slope of the reciprocal function must be the negative reciprocal of the slope of the linear function.

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Answer:

g = 18 - 2t

Step-by-step explanation:

They start with 18 gal.

To find how much gas they use while driving:

(2 gal/hr)(t hr)

Subtract that amount from the 18 gal they had in the tank to start with.

g = 18 gal - (2 gal/hr)(t hr)

The required area of the regular 12-gon is obtained as 3 square units.

A regular polygon can be defined as a polygon having all of its sides and angles equal to one another. The expression for each angle of a regular polygon is 180(n - 2)/n.

The angle between two sides of regular 12-gon is given as below,

180(12 - 2)/12 = 150°.

Now, the area of regular 12-gon is equivalent to the area of sum of 12 triangles.

The angle for the triangle will be 150/2 = 75°.

The diagram for such a triangle is given as below,

Now, OC = 1 × Sin B

⇒ OC = Sin 75°

And, BC =  1 × Cos B

⇒  BC = Cos 75°

Then, AB = 2BC = 2Cos 75°

Area of the triangle is given as,

1/2 × base × height

⇒ 1/2 × Sin 75° × 2Cos 75°

⇒ 0.25

Now, the area of the regular 12-gon inscribed in a unit circle is given as,

12 × 0.25 = 3 square units.

Hence, the area of a regular 12-gon inscribed in a unit circle is 3 square units.

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A- The fitted line or the fitted linear regression model is:[tex]y=2625.385462-36.96179663*x[/tex]

B- [tex]s^{2} = 9811.21237[/tex]

C- [tex]y_{20} = 1886.14953[/tex]

A fundamental and widely used form of predictive analysis is linear regression. Regression analysis' main goal is to look at two things: (1) Is it possible to accurately forecast an outcome (dependent) variable using a set of predictor variables? (2) Which individual variables—as shown by the size and sign of the beta estimates—are highly important predictors of the outcome variable, and how do they affect the outcome variable? The link between one dependent variable and one or more independent variables is explained using these regression estimations.

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the result we get is statistically significant. We reject the null hypothesis.

The null hypothesis in the given question is 'the mean annual consumption of high fructose corn syrup by a person in the United States is 48.8 pounds' and the alternative hypothesis in the given question is 'the population standard deviation is 3.6 pounds.'

Population mean = 48.8 pounds

Sample size = 120

Sample mean = 49.5 pounds

Population standard deviation = 3.6

α = 0.05

The standardized statistic z is:

z = (Sample mean - Population mean) x (√n / standard deviation)

z = (49.5 - 48.8) x (√120/3.6)

z = 2.13

The standardized statistic P is:

P = 2 - 2 x Φ(z)

P = 2 - 2 x 0.983

P = 0.034

Since, the result we get is statistically significant. We reject the null hypothesis.

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Answer:

17.5 or 17 minutes and 30 seconds

Step-by-step explanation:

Answer:

C) 2.400L

Step-by-step explanation:

A) 2.280L - 2.300L = -0.020L

B) 2.291L - 2.300L = -0.009L

C) 2.400L - 2.300L = 0.100L

D) 2.302L - 2.300L = 0.002L

E) 2.300L - 2.300L = 0.000L

The greatest difference in absolute value between the measurement and the actual volume is 0.100L.

Answer: C)

The linearization of the given function near x = -0.9 is approximated by the linear equation -x - 7, with the center of the linearization at x = -1. This equation is obtained by evaluating the function and its derivative at x = -1, then using them to approximate the value of the function at x = -0.9.

The linearization of the given function f(x) = 3x^2 + 2x - 3 near the point x = -0.9 is a linear equation that approximates the value of the function at the point. To obtain the linearization, we must first choose a suitable integer near -0.9 at which the function and its derivative are easy to evaluate. In this case, we choose x = -1 as the center of the linearization. To obtain the linearization equation, we evaluate the function and its derivative at x = -1, then use them to approximate the value of the function at x = -0.9. This results in the linear equation -x - 7. This equation allows us to approximate the value of the function at x = -0.9 without having to calculate the value of the function directly.

f(-1) = 6

f'(-1) = -1

Linearization: f(x) ≈ f(-1) + f'(-1)(x + 1)

= 6 - 1(x + 1)

= -x - 7

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As per the polar coordinates, the limits of the integration is written as ∬Df(rcos⁡(θ),rsin⁡(θ))rdrdθ.

What is meant by polar coordinates?

In math, polar coordinates refer a pair of coordinates locating the position of a point in a plane, the first being the length of the straight line ( r ) connecting the point to the origin, and the second the angle ( θ ) made by this line with a fixed line.

Here we have  the limits of integration and evaluate the integral to find the volume. for the polar coordinates.

Here we have the polar representation of a point P is the ordered pair (r,θ) where r is the distance from the origin to P and θ is the angle the ray through the origin and P makes with the positive x-axis.

Then the polar coordinates r and θ of a point (x,y) in rectangular coordinates satisfy

=> r=x² + x²      and      tan⁡(θ)=yx;

Here the rectangular coordinates x and y of a point (r,θ) in polar coordinates satisfy and x=rcos⁡(θ) and y=rsin⁡(θ).

Then the area element dA in polar coordinates is determined by the area of a slice of an annulus and is given by dA=rdrdθ.

Here we have to convert the double integral ∬Df(x,y)dA to an iterated integral in polar coordinates,

Now, we have to substitute rcos⁡(θ) for ,x, rsin⁡(θ) for ,y, and rdrdθ for dA to obtain the iterated integral

=> ∬Df(rcos⁡(θ),rsin⁡(θ))rdrdθ.

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The value of the brand new Ford F-150 after five years is approximately 32,435 dollars. Rounded to the nearest dollar, the value of the Ford F-150 after five years is 32,000 dollars.

The value of a new vehicle after the first 12 months of ownership is given by the equation:

value after 12 months = value at time of purchase × (1 - depreciation rate)

In this case, the value of the vehicle at the time of purchase is 63,580, and the depreciation rate is 20%. Plugging these values into the equation gives us:

value after 12 months = 63,580 × (1 - 0.20) = 50,864

The value of the vehicle after five years is given by the equation:

value after 5 years = value after 12 months × [tex](1 - depreciation rate)^n[/tex]

where n is the number of years after the first 12 months of ownership. In this case, n is 4 (5 years - 1 year).

Plugging the values for the value after 12 months, the depreciation rate, and n into the equation gives us the following:

value after 5 years = 50,864 × [tex](1 - 0.10)^4[/tex] = 32,435

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All statements that are true from the options are:

i. To circumscribe a given shape implies drawing a  circle outside the a given shape. While to inscribe a given shape means to draw a circle within the boundaries of the shape.

ii. A tangent is a straight line which intersect the the circumference of a circle at a point externally.

iii. A perpendicular bisector is a straight line that divides a given line into two equal halves. And it is at right angle to the given line.

iv. The circumcenter of a triangle is the middle point/ center of the triangle.

Therefore, the statements that are true are:

Thus all the given statements are true.

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y-6=-1/2(x+1)

1. the point-slope form is y-y1=m(x-x1)

x1 and y1 are the coordinates of the point (-1,6) because the line we are looking for its equation passes through it. "m" is the slope.

2. plug in the point (-1,6) in the form from step 1

y-6=m(x+1)

3. to find the slope of this line, the question tells us that this line is parallel to another line that passes through two given points. Any parallel lines, their slopes are the same. That means we have to find the slope of the 2nd line and use it for the 1st line.

The slope formula is m=(y2-y1)/(x2-x1)

plug in the two points m=(4-2)/(2-6), which is equal to -1/2

4. plug in "m" value in the equation from step 2.

Done

Answer:

The number is:

321/7

Step-by-step explanation:

a + a/6  + 7 = 121/2

6a/6 + a/6 + 42/6 = 363/6

6a + a + 42 = 363

7a = 363 - 42

7a = 321

a = 321/7

Check:

321/7 + (321/7)/6 + 7 = 121/2

321/7 + 321/42 + 7 = 121/2

1926/42 + 321/42 + 294/42 = 2541/42

1926 + 321 + 294 = 2541

The interval is [4, 6], and the compound inequality equals 4 ≤ x < 6 as indicated on the number line.

Given,

The number line;

A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.

Here,

The blue line runs from 1 to 4 and then to 6.

The solid dot at position 4 denotes inclusion, whereas the hollow dot at position 6 denotes exclusion.

Then,

x  ≥ 4 and x < 6

Combindlly  4 ≤ x < 6

Hence "The interval is [4, 6], and the compound inequality on the number line is 4 ≤ x < 6 ."

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Answer:

1. 2 pounds of beans and 1 pound of rice

2. 0.6 pounds of beans and 9 pounds of rice

3. b pounds of beans and (12-b)/2 pounds of rice

Step-by-step explanation:

1. You know that 2 pounds of beans costs 2*5 so $10. Then you subtract 12-10 to get 2.

2 pounds of rice

2. You multiply 0.6 by 5, and then you subtract that from 12, getting 9. then you divide by 2 (cost of rice per pound) getting 4.5 pounds of rice

Answer:

B. 0

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something noteworthy is that, the y-coordinate for Line 1 is the same, well that simply means that Line 1 is a horizontal line, anything perpendicular to a horizontal line is simply a vertical line, Check the picture below.