question in picture. Geometry. Acellus.

Answer:

$161.38

Step-by-step explanation:

12*0.99=11.88$

50*2.99=149.50$

11.88+149.50=161.38

In order to make Natasha's survey data more reliable, she could increase the sample size, conduct the survey on different day or time, or extend the days of the survey.

Conducting a survey with a sample size of only 30 workers, the survey results may not be representative of the entire population of 215 workers. Increasing the sample size would help to ensure that the survey results are more representative of the population. Moreover, she could also increase the data reliability by conducting the survey on different day or time can also gives different results since the transportation way can vary day by day. Another way Natasha could make the survey data more reliable would be to extend the survey over the course of several days rather than just one day.

To learn more about survey visit: https://brainly.com/question/19637329

#SPJ4

In order to make Natasha's survey data more reliable, she could increase the sample size, conduct the survey on different day or time, or extend the days of the survey.

Conducting a survey with a sample size of only 30 workers, the survey results may not be representative of the entire population of 215 workers. Increasing the sample size would help to ensure that the survey results are more representative of the population. Moreover, she could also increase the data reliability by conducting the survey on different day or time can also gives different results since the transportation way can vary day by day. Another way Natasha could make the survey data more reliable would be to extend the survey over the course of several days rather than just one day.

To learn more about survey visit:

brainly.com/question/19637329

#SPJ4

The number of votes the Candidate B receive is (c) 60

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

Candidate A Candidate B

12 20

18 30

27 45

36 ?

The above parameters mean that

The rate increase proportionally

Using the above as a guide, we have the following ratio

Ratio = Candidate A : Candidate B

Using one of the values, we have

Candidate A : Candidate B = 12 : 20

substitute the known values in the above equation, so, we have the following representation

36 : Candidate B = 12 : 20

Express as fraction

Candidate B/36 = 20/12

So, we have

Candidate B = 36 * 20/12

Evaluate

Candidate B = 60

Hence, the number of votes is 60

Read more about proportional relationship at

https://brainly.com/question/14425347

#SPJ1

Answer:

angle 1: 51

angle 2: 39

angle 3: 101

angle 4: 40

angle 5: 6

angle 6: 140

Step-by-step explanation:

I haven't done this in a while so hopefully this is right:) hope this helps

Monitoring Instruments are essential instruments for analyzing event data that is occurring in real-time to see whether anything is there.

The measuring device that generates the seismogram is called a seismograph or seismometer. The foundation of almost all seismometers is the concept of inertia, which states that when the ground shakes, a hanging object prefers to stay stationary. A creepmeter is a device used to track the gradual surface movement caused by an active geologic fault in the ground.

Its job is to capture the aseismic creep that occurs in between earthquakes. A creepmeter's measurement range is typically 10–30 mm only. In order to monitor ground tilt (rotation) near faults and volcanoes brought on by fault slip and volcanic uplift, tiltmeters are highly sensitive sensors.

Learn more about tools visit: brainly.com/question/25589435

#SPJ4

The solution set of this system of equations is a no solution or zero solution.

In Mathematics, the solution set of any system of equations simply refers to all of the set of values that correctly satisfy all the equations.

In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

y = x² + 2x + 2         ........equation 1.

y = x + 1                    ........equation 2.

Based on the graph (see attachment), we can reasonably infer and logically deduce that the given system of equations has no solution (zero solution) because it does not have a point of intersection for the lines on the graph representing each of the system of equations.

Read more on a graph here: brainly.com/question/4546414

#SPJ1

The equations that could be used to find the price of one tire patch is given as follows:

The price for each tire patch is constant, meaning that a linear function is used to model the situation.

He initially had $22.20, and then for each tire purchased, his amount decays by the slope, hence the function that models the situation is given as follows:

f(t) = 22.2 - tx.

In which t is the number of tires purchased.

He purchased 4 tires, hence:

f(4) = 22.2 - 4x.

After the purchase, he had $1.90 remaining, hence:

1.9 = 22.2 - 4x.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The equation that will be used to represent the number of purple and pink flowers would be =

For the pink flowers = r = 180 - 4(0)

For the purple flowers = r = 180 - 4(45)

A garden is defined as an area that is being prepared for the purpose of cultivation of various flower, shrubs and grass.

The total number of flowers in the garden = 180

The number of pink flower beds = 4

The number of purple flower beds = 4

The number of pink flowers in each bed = 45

Therefore, the number of total pink flowers = 4 × 45 = 180

Since the pink flowers is the total of 180 which is also the quantity of flowers in the garden, the quantity of flowers in the purple bed would be = 0

Thus, 180 = 4(45) + 4(0)

For the pink flowers = r = 180 - 4(0)

For the purple flowers = r = 180 - 4(45)

Learn more about addition here;

https://brainly.com/question/25421984

#SPJ1

The total width of the crystal as calculated from the given data is 0.001512 mm.

The spacing as given is 14.4 nm ,

on converting it into meters we get,

= 14.4 * 10^(-9) m

As we know,

1 mm = 1 * 10^(-3) m

Therefore,

14.4 nm * 105 = 1,512 nm

= 1.512 micrometers

= 0.001512 mm

or we can say that ,

1.512 * 10^(-3) mm

Therefore, the total width of crystal as calculated  is 0.001512 mm.

A crystal which is also known as a crystalline solid, is a solid material in which the constituents are atoms, molecules, or ions, they are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions.

To learn more about crystals

brainly.com/question/13008800

#SPJ4

One possible recursive function for this sequence is a n = a n-1 - 3, where a n is the nth term in the sequence and a n-1 is the previous term.

A function is a rule or mapping that relates a set of inputs to a set of outputs. It is a mathematical expression that takes one or more inputs and produces a corresponding output. Functions are essential for solving problems in mathematics, science, engineering, and computing. They can be used to describe relationships, simplify calculations, and to create models that enable us to understand the behavior of complex systems.

This recursive function states that each successive term in the sequence is three less than the previous term. Therefore, the sequence will continue to decrease by three each time. For example, the sixth term would be -11 (a 5 -3) and the tenth term would be -21 (a 9 -3).

To know more about function click-
https://brainly.com/question/2456547
#SPJ1

The pattern of association refers to the relationship that exists between two variables such as positive, negative, or no correlation.

In mathematics, a pattern of association refers to the relationship between two or more variables. This relationship can take several forms, such as a positive correlation, a negative correlation, or no correlation.

A positive correlation exists when the variables increase or decrease together. This means that as one variable increases, the other variable also increases and vice versa.

A negative correlation exists when the variables move in opposite directions. As one variable increases, the other variable decreases and vice versa.

A no correlation exists when there is no relationship between the variables. This means that the variables do not change together and there is no pattern in the data.

Find out more on pattern of association at https://brainly.com/question/359719

#SPJ1

Answer:

Square

Step-by-step explanation:

each side of a square is equal and there are 4 line segments

The equation for the line that passes through point (-5, 2) that is parallel  and perpendicular to y = 2/3x + 1

For the equation of the line parallel to the line the  y = 2/3x + 1 slope must be equal, hence m = 2/3

equation passing through point (-5, 2)

(y - y₁) = m  (x - x₁)

y - (-5) = 2/3(x - 2)

y + 5 = 2/3 x - 4/3

y = 2/3 x - 19/3

For the line perpendicular to the line y = 2/3x + 1 the slope is negative reciprocal of the slope in the line.

m = 2/3

perpendicular m' = -3/2

equation passing through point (-5, 2)

(y - y₁) = m'  (x - x₁)

y - (-5) = -3/2(x - 2)

y + 5 = -3/2 x + 3

y = -3/2 x + 3 - 5

y = -3/2 x - 2

the perpendicular line is y = -3/2 x - 2

Learn more about linear function at:

https://brainly.com/question/29721668

#SPJ1

The cylinder's volume is 2769.5 in³ with a base radius of 7 in and a height of 18 in.

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry.

The formula for calculating the volume of a cylinder is:

V = πr²h

where;

r is the radius = 7in

h is the height = 18in

Substitute the given parameters to have:

V = π(7)² * 18

V = 2769.5 in³

Hence the volume of the cylinder has a base radius of 7in and a height of 18in is 2769.5 in³

Learn more on volume of cylinder here: https://brainly.com/question/9554871

#SPJ1

The pair between the histogram and the data is I-b, II-d, III-c, and IV-a.

Histogram is a graphical display of frequency tabulations illustrated by bar graphics, where each bar shows the proportion of frequencies in each category series that are adjacent with non-overlapping intervals. The histogram is frequently used to depict the main characteristics of the data distribution.

There are relations between the mean and median of the statistical data and the shape of a histogram.

Whilst, the standard deviation describes the range between the highest and the lowest bar of the histogram. The higher the standard deviation, the range is bigger, and vice versa.

Take a look at the given data and the given histograms:

Data       Mean      Median      SD

  I             56             56          1.6          

  II            65             65          9      

  III           56             56          10      

  IV          56             56          21      

Based on that, we can conclude that:

The pair between the histogram and the data is I-b, II-d, III-c, and IV-a.

To learn more about histogram, click here: brainly.com/question/16819077

#SPJ4

The solution the system of equations y = x – 15 and y = –2x + 3 is (6, -9)

An equation shows the relationship between numbers and variables in an expression.

Given the system of equations:

y = x – 15    (1) and

y = –2x + 3   (2)

From equation 1, substitute y = x - 15 into equation 2 using substitution method:

x - 15 = -2x + 3

x + 2x = 3 + 15

3x = 18

x = 6

substitute x = 6 in equation 1:

y = 6 - 15 = -9

y = -9

The solution is (6, -9)

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

D. (6, -9)

Step-by-step explanation:

Edge 2023

We will find the parallel line:

y = (2/3)*x - 11/3

And the perpendicular line:

y = (-3/2)*x + 5

Here we start with the linear equation, we will get:

2x - 3y = 9

We can rewrite it to get:

-3y = 9 - 2x

y = 9/-3  - 2x/-3

y = -3 + (2/3)x

Remember that two lines are parallel if the lines have the same slope, so the equation of the parallel line will be something like:

y = (2/3)*x + b

And this line must pass through (4, -1), replacing these values we will get:

-1 = (2/3)*4 + b

-1 = 8/3 + b

-1 - 8/3 = b

-3/3 - 8/3 = b

-11/3 = b

So the linear equation parallel is:

y = (2/3)*x - 11/3

Now let's find the perpendicular line. Remember that two lines are perpendicular if the product between the slopes is equal to -1, then if the slope of the perpendicular line is m, we need to solve:

m*(2/3) = -1

m = -3/2

Then the perpendicular line is something like:

y = (-3/2)*x + b

To find te value of b, we need to replace the values of the point (4, -1) there, we will get:

-1 = (-3/2)*4 + b

-1 = -6 + b

-1 + 6 = b

5 = b

So the perpendicular line is:

y = (-3/2)*x + 5

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

A) The  probability that the number who say cashews are their favorite nut is​  exactly​ three is; 18.49%

b) The probability that the number who say cashews are their favorite nut is​  at least four is; 67.99%

c) The probability that the number who say cashews are their favorite nut is​  at most two is; 13.52%

The binomial probability is defined as the probability of exactly x successes on n repeated trials, and X can only have two outcomes. It is given by the formula;

P(X = x) = [tex]^{n} C_{r}[/tex] * pˣ * (1 - p)⁽ⁿ⁻ˣ⁾

Where:

x = total number of “successes” (pass or fail, heads or tails etc.)

P = probability of a success on an individual trial

n = number of trials

We are given;

p = 36% = 0.36

n = 12

A) The  probability that the number who say cashews are their favorite nut is​  exactly​ three is;

P(X = 3) = ¹²C₃ * (0.36)³ * (1 - 0.36)⁽¹²⁻³⁾

P(X = 3) = 0.1849 = 18.49%

b) The probability that the number who say cashews are their favorite nut is​  at least four is;

P(X ≥ 4) = 1 - P(X < 4)

Now, P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = 0) = ¹²C₀ * (0.36)⁰ * (1 - 0.36)⁽¹²⁻⁰⁾ =  0.0047

P(X = 1) = ¹²C₁ * (0.36)¹ * (1 - 0.36)⁽¹²⁻¹⁾ = 0.00319

P(X = 2) = ¹²C₂ * (0.36)² * (1 - 0.36)⁽¹²⁻²⁾ = 0.00986

P(X = 3) = ¹²C₃ * (0.36)³ * (1 - 0.36)⁽¹²⁻³⁾ = 0.1849

Thus;

P(X < 4)  = 0.0047 + 0.00319 + 0.00986 + 0.1849 = 0.3201

Thus;

P(X ≥ 4) = 1 - 0.3201

P(X ≥ 4) = 0.6799 = 67.99%

c) The probability that the number who say cashews are their favorite nut is​  at most two is;

P(X ≤ 2) =  P(X = 0) + P(X = 1) + P(X = 2)

P(X = 0) = ¹²C₀ * (0.36)⁰ * (1 - 0.36)⁽¹²⁻⁰⁾ =  0.0047

P(X = 1) = ¹²C₁ * (0.36)¹ * (1 - 0.36)⁽¹²⁻¹⁾ = 0.00319

P(X = 2) = ¹²C₂ * (0.36)² * (1 - 0.36)⁽¹²⁻²⁾ = 0.00986

Thus;

P(X ≤ 2) = 0.0047 + 0.00319 + 0.00986

P(X ≤ 2) = 0.1352 = 13.52%

Read more about Binomial Probability Distribution at; https://brainly.com/question/15278907

#SPJ1

Solving the quadratic equation, we will see that the frisbee will hit the ground after 8.5 seconds.

We know that the height of the frisbee is modeled by the quadratic equation:

h(t) = -0.07*t^2 + 0.007*t + 5

The frisbee will hit the ground when h(t) = 0, so we just need to solve the quadratic equation:

0 = -0.07*t^2 + 0.007*t + 5

We can just use the quadratic formula to get the solutions:

[tex]t = \frac{-0.007 \pm \sqrt{0.007^2 - 4*(-0.07)*5} }{2*-0.07} \\\\t = \frac{-0.007 \pm 1.18 }{-0.14}[/tex]

We only care for the positive solution, which is:

t = (-0.007 - 1.18)/-0.14 = 8.5

So the frisbee will hit the ground after 8.5 seconds.

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Answer:AC>BC>AB

Step-by-step explanation:We can compare the lengths of the sides with the angles given the side opposite to the largest angle is the largest and vice versa.

Angle ABC=75 greatest angle therefore the side opposite to it is the largest.

Answer:

B

Step-by-step explanation:

Distance = rate x  time

The rate is 3/15

distance = (3/15) (50)

distance = 10 miles

Answer:

y = -5x + 60

Step-by-step explanation:

You have two ordered pairs (3, 45) and (5,35)

y = mx + b

We need to find the slope and the y-intercept

Slope:

change in y over the change in x

(3,45) (5, 35)

The y's are 35 and 45.  You find the change by subtracting.

35 - 45 = -10

The x's are 5 and 3.  You find the change by subtracting,

5-3 = 2

[tex]\frac{-10}{2}[/tex] = -5

The slope (m) is -5

y-intercept:

Use of the on the points.  I will use (3, 45)

x = 3

y = 45

slope = -5

y = mx + b  Substitute in what you know and solve for b

45 = -5(3) + b

45 = -15 +b  Add 15 to both sides

60 = b

The y-intercept (b) is 60.

y = -5x + 60

So the slope of the line between these two points is 0.177, which can be rounded to 0.18

To calculate the slope of a line between two points, you need to use the following formula:

slope = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, we are using weight as the explanatory variable, so x1 = 3.5 (the weight of the rat), y1 = 4.5 (the cost of feeding the rat), x2 = 30 (the weight of the beagle), and y2 = 9.2 (the cost of feeding the beagle). Plugging these values into the formula, we get:

slope = (9.2 - 4.5) / (30 - 3.5)

slope = 4.7 / 26.5

slope = 0.177

So the slope of the line between these two points is 0.177, which can be rounded to 0.18. The slope represents the average change in the dependent variable (feed cost) per unit change in the independent variable (weight). So, in this case it means that the feed cost increase of 0.18 dollar per pound.

To learn more about slope of the line,

visit; brainly.com/question/16180119

#SPJ4

Using weight as the explanatory variable, the slope of the line between two points (3,5, 4.50) and (30, 9.20) is 0.17

In this question we have been given a Rat weighs 3. 5 pounds and costs $4. 50 per week to feed, while a Beagle weighs 30 pounds and costs $9. 20 per week to feed.

Using weight as the explanatory variable, we need to find the slope of the line between these two points.

Here weight is  the explanatory variable i.e., an independent Variable

This means, we place the values of weight on the x-axis and the feed cost on the y-axis.

So, the two data points from the weight and feed cost data set would be:

(3,5, 4.50) and (30, 9.20)

Let m be the slope of line between these two points

Using the formula of slope,

m = (9.20 - 4.50) / (30 - 3)

m = 0.1741

m = 0.17

Therefore, the required slope is 0.17

Learn more about the slope here:

https://brainly.com/question/29184253

#SPJ4

Answer:

See below

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The number of miles you need to drive to pay less by taking rate 2 is less than 500 miles

Let

Number of miles = x

Rate 1:

30 + 0.12x

Rate 2:

60 + 0.06x

Rate 2 < Rate1

60 + 0.06x < 30 + 0.12x

60 - 30 < 0.12x - 0.06x

30 < 0.06x

divide both sides by 0.06

x < 30/0.06

x < 500 miles

Therefore, you need to drive less than 500 miles to pay less by taking rate 2.

Read more on system of equation:

https://brainly.com/question/13729904

#SPJ1

The z-score corresponding to an observation of 284 is -1.02

To calculate the z-score, you need to know the mean (μ) and standard deviation (σ) of the normal distribution. Given that X~n(335, 50), the mean is 335 and the standard deviation is 50.

        (x - μ) / σ

       (284 - 335) / 50 = -1.02

Learn more about z-score here:

https://brainly.com/question/15016913

#SPJ4

The standard equation of the line is -2.5x + y = 5.

Slope of a line is the measure of ratio of the change in the y coordinate values to change in the x coordinate values when two points are given. Slope of a line is denoted by 'm'.

From the given graph, we have two points that the line passes through.

The point where the line touches the X axis is (-2, 0) which is called the x-intercept.

And the point where the line touches the Y axis is (0, 5) which is called the y-intercept.

We have the slope-intercept form of a line as,

y = mx + c, where m is slope and c is y intercept.

We have y intercept, c = 5.

Slope = (5 - 0) / (0 - -2) = 5 / 2 = 2.5

Equation of line in slope intercept form is,

y = 2.5x + 5

y - 2.5x = 5

-2.5x + y = 5, which is the standard equation.

Hence the standard equation of the line shown in the graph is -2.5x + y = 5.

Learn more about Slope here :

https://brainly.com/question/2491620

#SPJ1

The expanded from of the expression y(3.05x−3.75)−2.25y as required to be determined I. the task content is; 3.05xy - 6y.

It follows from the task content that the expanded form of the given expression is to be determined.

Since the given expression is;

y ( 3.05x − 3.75 ) − 2.25y

Hence, by the distributive property; we have that;

3.05xy - 3.75y - 2.25y

= 3.05xy - 6y

Ultimately, the expanded form of the expression is; 3.05xy - 6y.

Read more on expanded form of an expression;

https://brainly.com/question/29264270

#SPJ1