Mark is 7 less than 2 times as old as Tim. Together their ages total 59

Answer:

3200 (M)

17.6 (MY)

Step-by-step explanation:

(All x) > 4 = M, MY. If you don't understand and it needs to be explained in an easier way, ask me.

The median number of employees in Seattle's industries, as indicated by the dot plot, is around 800 thousand.

According to the dot plot, the median number of employees in Seattle's industries is approximately 800 thousand. The dot plot displays the recorded data rounded to the nearest 10,000, so we can determine the median by finding the middle value in the dataset. As there are an equal number of dots on either side of the median, we locate the central dot, which represents the median value. In this case, it falls on or near the 80th position on the dot plot, which corresponds to the value of 800 thousand employees.

The median number of employees in Seattle's industries, as indicated by the dot plot, is around 800 thousand. The median represents the middle value in a dataset and is a robust measure of central tendency that is less influenced by extreme values or outliers. By examining the dot plot and identifying the position of the central dot, we can approximate the median as 800 thousand employees.

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Answer: 5π         OR       15.70796327

Step-by-step explanation:

Formula for circumference is C=2πr (radius)   OR      C=πd    (diameter)

Our radius is 5 units, so our diameter is 10 units

C=10π

However, the question is only asking for length of semicircle

So you have to divide: 10π/2=5π

Answer:

64

Step-by-step explanation:

\({4}^{3} \)

There are 3 'variables' here. Red, blue and green. So, you multiply 4 by the power of 3.

Hope this helps!

Answer:

It woule be c and d, so a)

Step-by-step explanation:

Only a and b are functions.

Answer:

The answer is = 32 sectors

Step-by-step explanation:

If one sector is 1/10 of a mile and we are finding how many are in 3 2/10 miles, then the equation is (3 2/10)/(1/10)

Now, solve:

(3 2/10)/(1/10)

=(32/10)/(1/10)

=3.2/0.1

=32/1

=32

(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

The required length of the rectangle is 89 m.

Given that,
The area of a rectangular field is 6942 m. If the width of the field is 78 m, what is its length is to be determined.

Perimeter is the measure of the figure on its circumference.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

The area of the rectangle = length * width
                                6942  = length * 78
                                length = 89 m

Thus, the required length of the rectangle is 89 m.

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In a hyperbolic plane, a Lambert quadrilateral ABCD with right angles at A, B, and C. This result tells us about the properties of hyperbolic geometry.

In hyperbolic geometry, the sum of angles in a triangle is less than 180 degrees, which means that a right angle is acute. Therefore, in a Lambert quadrilateral ABCD, angle D is acute. Additionally, in hyperbolic geometry, parallel lines diverge from each other, which means that the sides adjacent to D in a Lambert quadrilateral are greater than their respective opposite sides. This property holds true for all sides adjacent to an acute angle in a Lambert quadrilateral.

Thus a  Lambert quadrilateral ABCD in a hyperbolic plane with right angles at A, B, and C implies that angle D is acute and the sides adjacent to D are greater than their respective opposite sides, highlighting the properties of hyperbolic geometry and the absence of rectangles in the hyperbolic plane.

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Answer:

20.2 miles

Step-by-step explanation:

This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:

\(/hyp/^{2}\) = \(/adj1/^{2}\) + \(/adj2/^{2}\)

\(/24/^{2}\) = \(/x/^{2}\) + \(/13/^{2}\)

576 = \(x^{2}\) + 169

\(x^{2}\) = 576 - 169

   = 407

x = \(\sqrt{407}\)

  = 20.1742

x = 20.2 miles

The glider has to fly 20.2 miles to return to the airport.

Using Z-table ,

the required probability that their mean total body protein is between 12.2 and 12.4 kg is 0.691..

We have given that,

The sample is Normal distribution,

the mean of sample(X-bar,) = 12.3 kg

standard deviations of sample(sigma) = 0.4 kg

sample size(n) = 4

confidence interval= (12.2, 12.4)

we have to find the probability that mean body protein is between 12.2 and 12.4 kg

Using the confidence interval formula, for finding the value of Z-value ,

C.I = X-bar +- Z(s/√n)

put all avaliabile values we get,

12.2 = 12.3 + Z(0.4/√4) = 12.3 + Z(0.2)

=> Z = - 0.5

or 12.4 = 12.3 + Z(0.2)

=> Z = 0.1/0.2 = 1/2 = 0.5

so, -0.5 < Z< 0.5

now , using the z-value we can easily calculate the value of p i.e. probability

Use the Z-table , we get p -value is 0.691

Hence , probability that their mean total body protein is between 12.2 and 12.4 kg is 0.691

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Answer:

switched signs around

Step-by-step explanation:

I believe that s/he switched the signs around so

|x|>5 is solved by x<-5 and x>5

but I'm not quite sure, sorry

30+7 equals 37. There are 37 stuffed animals.

Answer:

= 37

Step-by-step explanation:

30+7= 37

The correct answer is option A. For P= -1/2 0 1/2 1/2 0 -1/2 0 0 1 D= 0 4 0 0 0 4 -1 0 0. The matrix can be diagonalized using the eigenvectors.

To diagonalize the matrix, the eigenvectors must be found first. The eigenvectors can be found by solving the characteristic equation and finding the eigenvalues. The eigenvalues of the matrix are 2 and -1. The eigenvectors associated with each eigenvalue are determined by solving the eigenvalue equation.

The eigenvectors for the matrix are [1, -2], [1, 2], [1, 0], and [0, 1]. After the eigenvectors are found, the matrix can be diagonalized by constructing the transformation matrix P. The transformation matrix P is composed of the normalized eigenvectors. The transformation matrix P is: P=[-1/2, 0, 1/2, 1/2, 0, -1/2, 0, 0, 1], and the diagonal matrix D is composed of the eigenvalues.

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Answer:

0.067

Step-by-step explanation:

6 / 90 = 0.067

Answer:

14

Step-by-step explanation:

7.95\cdot 6+1.45\cdot \:x=\left(6+x\right)3.4

x=14

Answer:

2

Step-by-step explanation:2

It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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Answer:

Solution:

Hence the value of x=4

If a prestigious program accepts 2 out of every 9 applicants per year than the program will accept 360 applicants out of 1620.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

the ratio is given:

2/9 = 360/x

solving for the value of x;

x/9=360/2

x=(180)9

x=1620

this is the required value of applicants that were not accepted.

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In the given diagram, you have an isosceles triangle ABC with base AB. The lengths of BC and AC are equal.So, AB = AC.    

The measure of the angle opposite to the base is 50 degrees.Because the sum of the angle of any triangle is 180 degrees.Now, Let's apply angle sum property to triangle ABC Here, ∠BAC = 50°  (Given)Let's call BC = AC = x°∠ABC = ∠ACB  (As, it is an isosceles triangle)Let's suppose, ∠ACB = ∠ABC = y°Then,∠BAC + ∠ABC + ∠ACB = 180°50° + y° + y° = 180°2y° = 130°y° = 65°We know that in an isosceles triangle opposite angles are equal∠ABC = ∠ACB = 65°Now, we can calculate the value of x°Let's apply the angle sum property to triangle ABC again, we get∠BAC + ∠ABC + ∠ACB = 180°50° + 65° + 65° = 180°Therefore, BC = AC = x°2(65°) + 50° = 180° = > 130° + 50° = 180°So, BC = AC = x°x + x = 2x = (180° - 50°)/2 = 130°/2 = 65°Therefore, AB = AC = x°= 65The length of AB is 65.  

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Answer:

the horizontal line through y = 1.5

Step-by-step explanation:

The equation ax + by = c becomes 0x + 1y = 1.5 when a = 0, b = 1 and c = 1.5 are substituted.

0x + 1y = 1.5 becomes y = 1.5.

The graph of this equation is the horizontal line through y = 1.5.

The radio station can reach around 1,030,400 people within its coverage area.

Using the equation, calculate the size of the circular circle that the radio station signal can cover.

A = πD²/4 is the area and D is the diameter. using the pi-number 3.14.

r = 120 / 2 = 60 miles

The density of the area:  100 people per sq. mile

A = r² π = 60² · 3.14 = 3600 · 3.14 = 11,304 sq. miles

11,304 · 100 = 1,030,400

or

A = (3.14)(120 mi) (120 mi)

² / 4 \s A = 11304 mi²

being aware that 100 individuals reside in each square mile.

total population receiving the signal =11304 mi² x (100 people / 1 mi²)

                                   = 1,130,400

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Answer:

D. Yes, because it passes the vertical line test

Yes, the graph represent a function because it passes the vertical line test, option D is correct.

The vertical line test is a criterion used to determine if a graph represents a function.

According to the vertical line test, if any vertical line intersects the graph in more than one point, then the graph does not represent a function.

In other words, for a graph to represent a function, every input (x-value) must correspond to exactly one output (y-value).

If the graph fails the vertical line test, it means that there is at least one x-value that has multiple corresponding y-values, which violates the definition of a function.

As we observe the graph every x value has a unique y value, so it represents a function.

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Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.

Based on the information you provided, we can calculate Gary's deductible medical expenses using the following terms:

1. Qualified medical expenses: $5,200
2. AGI (Adjusted Gross Income): $50,000

According to the IRS, taxpayers can deduct qualified medical expenses that exceed 7.5% of their AGI for the tax year 2021. Here's the step-by-step calculation for Gary's deductible medical expenses:

Step 1: Calculate 7.5% of Gary's AGI
7.5% x $50,000 = $3,750

Step 2: Subtract the 7.5% AGI threshold from Gary's qualified medical expenses
$5,200 - $3,750 = $1,450

Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.

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the formula for a linear regression line is y = ax + b

where a and b are:

Answer: 4.8x + 3

Step-by-step explanation:

Answer:

Force, F = 51300 N

Step-by-step explanation:

We have,

Mass of a car is 1350 kg

Acceleration of the car is 38 m/s².

It is required to find the force required to accelerate the car. The force acting on the object is given by the formula as follows:

\(F=ma\\\\F=1350\ kg\times 38\ m/s^2\\\\F=51300\ N\)

So, the force of 51300 N is required to accelerate the car.

Answer:

40m

Step-by-step explanation:

4x10=40