An elected official surveyed residents of a town to assess their satisfaction with city services. the survey includes both those who own and those who rent their homes. level of satisfaction high medium low total owners 26 34 18 78 renters 15 12 5 22 total 41 46 23 110 what proportion of those surveyed have low satisfaction with city services? 0.2091 0.2308 0.2644 0.3727

At most, they can wash 96 cars and mow 96 lawns.

To determine the maximum number of cars they can wash and lawns they can mow, we need to consider the work rates of each person and the total number of hours they work.

Huey can wash 6 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 6 \(\times\) 8 = 48 cars or mow 3 \(\times\) 8 = 24 lawns.

Dewey can wash 3 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 3 \(\times\) 8 = 24 lawns.

Louie can wash 3 cars or mow 6 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 6 \(\times\) 8 = 48 lawns.

Since two of them wash cars and one mows lawns, the maximum number of cars they can wash is the sum of the maximum cars each person can wash, which is 48 + 24 + 24 = 96 cars.

The maximum number of lawns they can mow is the sum of the maximum lawns each person can mow, which is 24 + 24 + 48 = 96 lawns.

For similar question on maximum number.

https://brainly.com/question/28066919  

#SPJ8

The question asks to show that if the times between events are independently and identically distributed (iid) and follow an exponential distribution, then the number of events n(t) in a fixed time interval follows a Poisson distribution with an expected value of E[n(t)].

To show this, we first consider the exponential distribution, which models the time between events in a Poisson process. It is characterized by a single parameter, λ, which represents the average rate of events per unit of time. The probability density function (PDF) of the exponential distribution is given by:

\(f(t) = λ * e^(-λ * t)\)

Now, let's define n(t) as the number of events in the time interval [0, t]. We want to show that n(t) follows a Poisson distribution with an expected value E[n(t)].

The Poisson distribution is characterized by the parameter μ, which represents the average number of events in a fixed time interval. The probability mass function (PMF) of the Poisson distribution is given by:

P(n) = (e^(-μ) * μ^n) / n!

In a Poisson process, the average number of events in a time interval is given by the product of the rate parameter λ and the length of the interval, i.e., \(μ = λ * t.\)

Therefore, the PMF of n(t) becomes:

\(P(n) = (e^(-λ * t) * (λ * t)^n) / n!\)

This equation confirms that n(t) follows a Poisson distribution with an expected value E[n(t)] = λ * t. Thus, if the times between events are iid following an exponential distribution, the number of events n(t) in a fixed time interval is Poisson distributed with E[n(t)].

for such more questions on probability

https://brainly.com/question/31019087

#SPJ11

The matrices A and B are inverses of each other.

To determine if two matrices are inverses of each other, we need to check if their product is the identity matrix. Let's calculate the product of matrices A and B:

A * B = ⎣⎡343 111 445⎦⎤ * ⎣⎡−101 1 −30⎦⎤

     = ⎣⎡0 1 0⎦⎤

The product of matrices A and B results in the identity matrix:

A * B = I

Since the product of matrices A and B is the identity matrix, we can conclude that matrices A and B are inverses of each other.

Note: In general, for two matrices A and B to be inverses, their product should equal the identity matrix and the product of B and A should also equal the identity matrix. In this case, we have shown that A * B is the identity matrix, and if we calculate B * A, we should also obtain the identity matrix to fully confirm that A and B are inverses of each other.

Learn more about matrices here:

https://brainly.com/question/30646566

#SPJ11

Given:-

\( \: \)

\( \: \)

Solution:-

\( \underline{ \: \sf{[a = 3.8] \: }}\)

\( \: \)

\( \: \)

\( \textsf{put the value of a = 3.8}\)

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

\( \underline{ \sf \: [a = 7]\: }\)

\( \: \)

\( \: \)

\( \textsf{ \: put the value of a = 7 \: }\)

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

\( \underline{ \sf{[a = -7.2]}}\)

\( \: \)

\( \: \)

\( \textsf{ \: put the value of a = -7.2 \: }\)

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Assuming that one snap cube represents one milliliter (ml) of paint, we can use five red snap cubes to represent 5 ml of red paint and three blue snap cubes to represent 3 ml of blue paint. We can arrange these snap cubes in a row to represent the recipe:

RRRRR BBB

This indicates that we mix 5 ml of red paint with 3 ml of blue paint to create the maroon paint.

To draw a sketch of the snap-cube representation of the maroon paint, we can combine the red and blue snap cubes into a single row:

RRRRR BBB

This gives us a row of eight snap cubes, which represents the maroon paint. Visually, the maroon paint will appear as a blend of red and blue, with a darker, richer hue than either color alone.

Each snap cube represents one milliliter (ml) of paint. Therefore, in this representation, each snap cube represents a fixed amount of paint, regardless of the color. In other words, each cube represents a unit of volume, rather than a unit of color or pigment.

Step-by-step explanation:

Yes it is a function dearest

Answer:

\(z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)\)

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

\(z=r(\cos \theta +i\sin \theta)\)

where, \(r=\sqrt{a^2+b^2}\) and \(\tan \theta=\dfrac{b}{a}\), \(\theta\) is called the argument of z, \(0\leq \theta\leq 2\pi\).

The given complex number is -5i.

It can be rewritten as

\(z=0-5i\)

Here, a=0 and b=-5. \(\theta\) lies in 4th quadrant.

\(r=\sqrt{0^2+(-5)^2}=5\)

\(\tan \theta=\dfrac{-5}{0}\)

\(\tan \theta=\infty\)

\(\theta=2\pi -\dfrac{\pi}{2}\)    \([\because \text{In 4th quadrant }\theta=2\pi-\theta]\)

\(\theta=\dfrac{3\pi}{2}\)

So, the trigonometric form is

\(z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)\)

Answer:

in degrees the answer is 5 (cos 270 + i sin 270)

in radians the answer is 5 (cos (3pi/2) + i sin (3pi/2))

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I think thats what they are saying anyway

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

The bond's time to maturity for the Ford bond based on the present date and the maturity date is 77 years 6 months.

The time to maturity for a bond is the length of time that a bondholder would receive interest payments on the bonds held. It is the difference between the present date and the matuity date of the bond.

Time to maturity = May 15 2097 - November 16, 2020 = 77 years 6 months

To learn more about bonds, please check: https://brainly.com/question/13326746

Answer:

No.

Step-by-step explanation:

It does not pass the vertical line test, so the relation is not a function. This is because there are x-values that have several y-values. To be a function, a relation must have x-values that only have one y-value each.

Hope this helps!

Answer:

No

Step-by-step explanation:

Because for any given point along the x-axis it has 2 values along y-axis.

For a relation to be a function it must have only one value at y-axis along any given point along the x-axis

Answer:

\( \huge \blue{y + 1 = 3(x + 2) } \\ \)

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

From the question we have the final answer as

\(y + 1 = 3(x + 2)\)

Hope this helps you

Answer:

D. Ernesto

Step-by-step explanation:

12 - (-10) - 5 x 3

12 - (-10) - 15

12 + 10 - 15

The probability of choosing a student who specialized in photography is 0.2 or 20%.

To calculate the probability that a randomly chosen student specialized in photography, follow these steps:

1. Determine the total number of students at the art camp: 4 (photography) + 16 (other areas) = 20 students
2. Find the number of students who specialized in photography: 4 students
3. The probability of choosing a student who specialized in photography is the number of students who specialized in photography divided by the total number of students: 4/20 = 1/5 = 0.2

So, the probability that a randomly chosen student specialized in photography is 4/20, which can be simplified to 1/5 or 20%.

Know more about probability here:

https://brainly.com/question/13604758

#SPJ11

Answer:

D

Step-by-step explanation:

Since 7 + 11 is = 18, these cannot be the sides of a triangle

Let's solve your inequality step-by-step.

|−5−3x|>2

|−3x−5|>2

Solve Absolute Value.

|−3x−5|>2

We know either−3x−5>2or−3x−5<−2

−3x−5>2(Possibility 1)

−3x−5+5>2+5(Add 5 to both sides)

−3x>7

−3x /−3 > 7 /−3      (Divide both sides by -3)

x< −7 /3

−3x−5<−2(Possibility 2)

−3x−5+5<−2+5(Add 5 to both sides)

−3x<3

−3x /−3 < 3 /−3     (Divide both sides by -3)

x>−1

Answer:

x< −7 /3  or x>−1

Step-by-step explanation:

Answer:

Atheism

Step-by-step explanation:

Former atheist myself. That was an interesting phase.

Answer:

a = 37°

b = 34°

c = 143°

Step-by-step explanation:

Hello!

The measure of Angle A is 37°, because 37° and Angle A are vertical angles, meaning they are equal in measure.

Vertical Angles are the non-adjacent angles formed by the intersection of two lines, and are equal in measure.

The measure of Angle C is 143°, found by subtracting 37° from 180°, the total number of degrees on a line.

The measure of Angle B is 34°, found by subtracting 109° and 37° from 180°. Angle B is inside a triangle, and the sum of angles in a triangle is 180°. The other two angles are 109° and 37° (Angle A), so the measure of Angle B should be 34°.

Answer:

D)-25 and -3

Step-by-step explanation:

-25 × -3

25×3(minus,minus cut)

=75

The area, in square inches, of a right triangle with a 24-inch leg and a 25-inch hypotenuse is 84 cm.

The area of a right triangle of base b and height h can be calculated using the formula 1/2 × b × h and its perimeter is obtained by just adding all the sides.

Length of one side of the right triangle (p) = 24-inch

Length of the hypotenuse of the right triangle (h) = 25-inch

Therefore, we can calculate the third side (b) of the triangle by applying the Pythagorean theorem

p² + b² = h²

24² + b² = 25²

b² = 625 - 576

b² = 49

b = 7 inch

Now, the area of the right triangle will be

= 1/2 × b × h

= 1/2 × 7 × 24

= 84 inch²

To know more about right triangle, here

https://brainly.com/question/4364353

#SPJ4

Answer: -1

Step-by-step explanation:

f(-4)=4-5

Since your x is negative and this problem requires -x to find y, you switch the sign to positive.

The required total number of blocks in Figures 1, 2, and 3 are 11, 18, and 27 respectively.

Figure 3,
Follow the image attached below,
Part the figure in various rectangles, such as to make the calculation easy.
Number blocks in black rectangle = number of rows × number of columns
                                                   = 3 × 6 = 18 blocks

Number blocks in two brown rectangle = 2 [1 × 2] = 4
Number blocks in violet rectangle = 5 × 1 = 5

Total blocks = 18 + 4 + 5 = 27

Similarly, figure 1 and figure 2 consist of 11 and 18 blocks respectively.

Thus, the required total number of blocks in Figures 1, 2, and 3 are 11, 18, and 27 respectively.

For more about counting follow the link below:
https://brainly.com/question/28860989
#SPJ1

To transform 60°F to Celcius, we have to use the following formula

Replacing the given temperature, we have

Answer:

I don't know yujvhkjghjghhhgg

By answering the presented question, we may conclude that P(990< X <1150) = normal distribution  P[(990-1000)/100 < Z < (1150-1000)/100] = P(-1.0 < Z < 1.5) = 0.7745

The normal distribution is an example of a continuous probability distribution, in which the majority of data points cluster at the middle of the range and the remaining ones drop symmetrically towards one of the extremes. The mean of the distribution is another term for the range's centre. According to the normal distribution, also known as the Gaussian distribution, which is symmetrical around the mean, data that are close to the mean are more frequent than data that are far from the mean. I'm utilising heuristics in normal distribution to obtain a student's SAT scores from a new exam prep course. The data exhibit a normal distribution with a mean (M) of 1150 and a standard deviation (SD) of 150.

Question 1:

a) P(Z<1.72) = 0.9582 (using standard normal distribution table or calculator)

b) P(Z>1.1) = 0.1357

c) P(1.1<Z<1.70) = 0.0808

Question 2:

a) P(X<1070) = P(Z<(1070-1000)/100) = P(Z<0.7) = 0.7580

b) P(990< X <1150) = P[(990-1000)/100 < Z < (1150-1000)/100] = P(-1.0 < Z < 1.5) = 0.7745

To know more about normal distribution visit:

https://brainly.com/question/29509087

#SPJ1

Answer:

28

Step-by-step explanation:

angels of a triangle add up to 180

so add the given angels to get 152

then subtract to get the missing angle 180-152= 28

The solution to the differential equation is: y(t) = (-cos(t) + π/2)/t

To solve the differential equation:

ty'(t) + y = sin(t), t > 0, (π/2) = 1

We can first divide both sides by t: y'(t) + (1/t)y(t) = sin(t)/t

This is now in standard form for a linear first-order ordinary differential equation, where the integrating factor is given by:

μ(t) = e^∫(1/t)dt = e^ln(t) = t

Multiplying both sides by the integrating factor, we get:

ty'(t) + y(t) = sin(t) d/dt(ty(t)) = sin(t)

Integrating both sides with respect to t, we get:

ty(t) = ∫sin(t)dt = -cos(t) + C

where C is an arbitrary constant of integration. Solving for y(t), we have:

y(t) = (-cos(t) + C)/t

Using the initial condition (π/2) = 1, we can find C: y(π/2) = (-cos(π/2) + C)/(π/2) = 1 C = π/2 + cos(π/2) = π/2

Therefore, the solution to the differential equation is: y(t) = (-cos(t) + π/2)/t

Learn more about differential equation,

https://brainly.com/question/28099315

#SPJ11

Answer:

Pauline reflected the original figure over the x-axis:

The coordinates of point B will be (4,3)

Carl reflected the original figure over the y-axis:

The coordinate of points B will be (-4,-3)

When Pauline reflect the original figure over the x-axis, the coordinate of point B' will be (-2, -4). When Carl reflect the original figure over the y-axis, the coordinate of point B' will be (2, 4).

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Mathematics, a reflection over the x-axis is given by this transformation rule:

(x, y)                   →               (x, -y)

Point B = (4, -3) → Point B' = (4, 3)

In Geometry, a reflection over the y-axis of a graph is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, the coordinates of point B' after a reflection over the y-axis is as follows:

Point B = (4, -3) → Point B' = (-4, -3)

Read more on reflection here:

brainly.com/question/10260342

#SPJ2

The two triangles are similar If they have the same shape, but their sizes are different.

Similar triangles are triangles that have the same shape, but their sizes may be same or different. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. The similarity of triangles are denoted by ‘~’ symbol

AA (or AAA) or Angle-Angle Similarity

If any two angles of a triangle are equal to any two angles of another triangle, then those two triangles are similar to each other.

SAS or Side-Angle-Side Similarity

If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed between those two sides in both the triangle are equal, then two triangles are said to be similar.

SSS or Side-Side-Side Similarity

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

Therefore, two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

To learn more about similarity refer here

https://brainly.com/question/25631497

#SPJ4