The team from the example on the previous page has started to draw a histogram for its 32 data points: How high (i.e., to what numbers on the vertical axis) should the team draw the bars in the remaining three categories?

Answer:

Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

The question that is a statistical question is: "which brand of ice cream is preferred by the people shopping at a grocery store?" (Option D)

A statistical question is one that can be addressed by gathering varying amounts of data.

This is a statistical issue since it entails gathering and evaluating data from a group of individuals to discover which brand of ice cream the majority prefers.

The other alternatives are not statistical inquiries since they solicit personal opinions or preferences rather than group facts.

Learn more about statistical question:
https://brainly.com/question/29257078
#SPJ1

The slope of the line passing through the points (0, 30) and (8, 18) is -1.5.

Given is a graph of a line passing through the points (0, 30) and (8, 18).

To find the slope of the line passing through two points, you can use the formula:

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

Let's use the points (0, 30) and (8, 18) to calculate the slope:

x1 = 0

y1 = 30

x2 = 8

y2 = 18

slope = (18 - 30) / (8 - 0)

= -12 / 8

= -1.5

Therefore, the slope of the line passing through the points (0, 30) and (8, 18) is -1.5.

Learn more about slope click;

https://brainly.com/question/3605446

#SPJ1

Answer:

Last Option: y=2x-2

The correct answer is 4) observed score.

The observed score refers to the actual score that is recorded or measured in a particular situation. This score can be influenced by various factors such as measurement error, observer bias, or the conditions under which the score was obtained.

The observed score represents the result that is directly obtained from a test, questionnaire, or any other measurement tool.

The true score refers to the actual ability, knowledge, or any other characteristic that the individual possesses. The true score is typically unobservable and is often estimated by considering the average of multiple observed scores.

The error score represents the difference between the observed score and the true score. This score reflects the extent to which measurement error or other factors influenced the recorded score.

False score refers to a score that is intentionally or unintentionally altered or manipulated to present a different picture of an individual's performance or ability. It is different from the error score in the sense that it is not a result of measurement error, but rather an intentional manipulation of the score.

Therefore, the score that you would actually record is an example of the observed score.

To know more about observed score refer to:

brainly.com/question/13125938

#SPJ4

|x-3|+|x+2|-|x-5| can be broken down into three separate cases based on the value of x:

(x-3) + (x+2) - (x-5) = 2x + 4

(x-3) + (x+2) - (5-x) = 2x - 6

-(x-3) - (x+2) - (5-x) = -3x - 4

We break down the expression into three separate cases based on the value of x. This is because the absolute value function creates "turning points" at which the behavior of the expression changes. We analyze the expression for each case and simplify it to obtain the final answer. The answer depends on the value of x, and we must consider the expression separately for each case.

If x ≥ 5, then the expression becomes:

(x-3) + (x+2) - (x-5) = 2x + 4

If -2 ≤ x < 3, then the expression becomes:

(x-3) + (x+2) - (5-x) = 2x - 6

If x < -2, then the expression becomes:

-(x-3) - (x+2) - (5-x) = -3x - 4

Therefore, the final answer depends on the value of x. If x is greater than or equal to 5, then the answer is 2x + 4. If x is between -2 and 3, then the answer is 2x - 6. And if x is less than -2, then the answer is -3x - 4.

To learn more about absolute value function here

https://brainly.com/question/14364803

#SPJ4

Using BODMAS, the solutions of the expressions are: (1) 9, (2)-12, (3) 0.27, and (4) 0.24

We should know that BODMAS is a mathematical approach which means

In each of the expressions, we must follow the approach

1)    \(\frac{(6+3)^{2} }{3*9}\)

Simplifying this we have 9²/9=81/9

=9

2)  \(\frac{3^{2} -6*2}{(12-8)/2^{2} *10}\)

Using BODMAS we have

(9-12)/4/40

-3÷1/9

⇒-3*4

=-12

(3)   \(\frac{4.5+2*2.5^{2}-6 }{8*4+9}\)

Using BODMAS we have

(4.5+2*6.25-6)/32+9

⇒(4.5+12.5-6)/41

=11/41=0.27

4     (\(\frac{3.5+16-2.5^{2} }{10.5-6*11}\))

Using BODMAS we have  

(3.5+16-6.25)/10.5-66

Simplifying

(13.25)/-55.5

=0.24

Therefore, the values when simplified are  (1) 9, (2)-12, (3) 0.27, and (4) 0.24

Learn more about BODMAS on https://brainly.com/question/29626866

#SPJ1

The solution of the equation, (x + 5)² = 9  is x = -2 or x - 8.

The equation (x + 5)² = 9 can be solved as follows:

Therefore, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Therefore, let's solve for the variable x in the equation. A variable is a number represented by a letter in an equation.

Hence,

(x + 5)² = 9

(x + 5)(x + 5) = 9

x² + 5x + 5x + 25 = 9

x² + 10x + 25 = 9

x² + 10x + 25 - 9 = 0

x² + 10x + 16 = 0

x² + 2x + 8x + 16 = 0

x(x + 2) + 8(x + 2) = 0

(x + 2)(x + 8) = 0

Therefore,

x = - 2 or x  = -8

learn more on equation here: brainly.com/question/30168007

#SPJ1

Answer:

Pants

Step-by-step explanation: I got it right on Ed

Answer:

pants

Step-by-step explanation:its right

Answer:

Step-by-step explanation:

Given:

Biking only:

Motorcycling only:

Neither:

Venn diagram consists of:

Biking |  Both (Intersection) | Motorcycling  |  Neither (outside of circles)

  40                   18                         24                             18

Answer:

Step-by-step explanation:

1-3 2-4 5-2 4-1

Answer:

E

Step-by-step explanation:

Answer: 10 CD's

Step-by-step explanation:

Given

Tom can  burn a CD in  \(\frac{4}{5}\ \text{of an hour}\)

If he has 8 spare hours in the week, he can burn

\(\Rightarrow 8\div \frac{4}{5}=\dfrac{8}{\frac{4}{5}}\\\Rightarrow \dfrac{8\times 5}{4}=2\times 5=10\ \text{CD}\)

The data in the table of values can be used to find the line of best fit after plotting the graph

a. Please find attached the graph of the data showing the next two points on the table, which are (9, 9.8), (7, 11)

b. Linear correlation

c. Please find attached the graph of the data showing the line of best fit created with MS Excel

A line of best fit is a line that passes through a set of scatter plot, which most precisely reflects the relationship between the points.

a. Please find attached the graph of the data in the table, including the plot of the next two points (9, 9.8), and (7, 11), created with MS Excel

b. The type of correlation on the graph which consists of a straight line that is drawn across the points such that the distance between the line and the points on the graph is minimized, is a linear correlation.

c) The line of best fit, can be obtained adding the Trendline chart element on MS Excel, which can be obtained as follows;

Please find attached the graph of the Number of hours sleep to the Age of the children, showing the line of best fit, created with MS Excel

Learn more on correlation here: https://brainly.com/question/14096374

#SPJ1

A diameter is a straight line that connects two points on the circumference of a circle and passes through the center. It is a fundamental concept in the study of circles and is used to calculate various properties and measurements associated with circles.

A straight line that passes through one side of a circle to the other is called a diameter.

In geometry, a circle is a closed curve consisting of all points in a plane that are equidistant from a fixed center point.

The diameter of a circle is a line segment that passes through the center of the circle and has both endpoints on the circumference.

It is the longest chord of the circle and divides the circle into two equal halves called semicircles.

The diameter plays a significant role in the properties and measurements of circles.

One important property is that the diameter is twice the length of the radius, which is the distance from the center of the circle to any point on the circumference.

In mathematical terms, if r represents the radius and d represents the diameter, then d = 2r.

The diameter of a circle has several important applications and implications.

It is used to calculate the circumference of a circle using the formula C = πd, where C represents the circumference.

Additionally, the diameter is crucial in determining the area of a circle, which is given by the formula \(A = \pi r^2,\)

where A represents the area.

For similar question on straight line.

https://brainly.com/question/25969846

#SPJ11

Answer:

I would say 1.5in

Step-by-step explanation:

The amount of interest earned by Mr. Jones's retirement account over 5 years is $79,025.

Mr. Jones has invested $410,000 in a retirement account that earns 3.85% simple interest per year. Simple interest is calculated by multiplying the principal amount by the annual interest rate and the time period in years.

In this case, the time period is 5 years. Using the formula for simple interest, we can calculate the amount of interest earned on this investment as:

I = P * r * t = $410,000 * 0.0385 * 5 = $79,025

Therefore, the amount of interest earned by Mr. Jones's retirement account over 5 years is $79,025. This means that the total value of his retirement account after 5 years would be $489,025 ($410,000 + $79,025).

Learn more about interest:

brainly.com/question/30393144

#SPJ4

The equations N1/dt = r1N1[(K1 - N1 - ON2)/K1] and ON2/dt = r2N2[(K2 - N2 - BN1)/K2] describe models for population dynamics. These models are used to understand how populations of organisms change over time, based on factors like birth rates, death rates, and available resources.

In these equations, N1 and N2 represent the population sizes of two interacting species. The variables r1 and r2 are the intrinsic growth rates of these species, or the rates at which they reproduce in the absence of limiting factors. K1 and K2 represent the carrying capacities of the environment for each species, or the maximum population sizes that can be sustained by available resources.
The terms ON2 and BN1 represent the effects of interspecific interactions on population growth. ON2 refers to the negative impact of species 2 on the growth rate of species 1, and BN1 refers to the negative impact of species 1 on the growth rate of species 2. These interactions can take many forms, such as competition for resources or predation.
By manipulating these equations, scientists can make predictions about how populations will change over time, and test these predictions against real-world data. These models are particularly useful for understanding how species interact in complex ecosystems, and how human activities like habitat destruction and climate change are affecting these ecosystems.

for more questions on birth rates

https://brainly.com/question/5874247

#SPJ11

Answer:

Let x be the price of the groceries:

x × 0.25 = 1.60

           x = 1.60/0.25

           x = $6.40

$6.40 - $1.60 = $4.80

Step-by-step explanation:

Hhaah! My name is Caleb lolll :)

Mark as brainliest please! :)

The area of the wafer is 1590.43 cm² and the number of dies the same wafer can contain if each die has a side of 4 cm is 63

If a wafer can contain 500 dies with 2 cm diagonal, then the wafer's diagonal length would be

√(2 * 2 * 500)

= sqrt(2000)

= 45 cm

Therefore, diagonal length would be 45 cm.

Area of wafer is given by,

= πr²

= π(45/2)²

= 1590.43 cm²

Therefore, the area of the Wafer is 1590.43 cm².

The number of dies that can be fixed if die has a side of 4 cm,

√4√2 x 4√2 x X = 45

32X = 2025

x = 63

Therefore, the number of dices that can be contained by the wafer if side is 4cm is 63

Learn more about Wafer dicing:

https://brainly.com/question/14286470

#SPJ4

To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Learn more about molecular weight at: brainly.com/question/27988184

#SPJ11

Answer:

neither

Step-by-step explanation:

parallel looks like this ---->     =====    it is equal facing eachother

and perpendicular looks like this -----> Г it is on 90⁰

Edit: thx for 5stars vote :)

Answer:

(3, - 2 )

Step-by-step explanation:

The solution is at the point of intersection of the 2 lines

The lines intersect at (3, - 2 ) ← solution

Check by substituting  x = 3 into the left side of the given equation

- 2(3) + 4 = - 6 + 4 = - 2 ← True

Use the slope formula:-

\(\displaystyle\frac{y_2-y_1}{x_2-x_1}\)

Plug in the values:-

\(\displaystyle\frac{2-(-4)}{-5-3}\)

\(\displaystyle\frac{2+4}{-8} =\frac{6}{-8} =-\frac{6}{8}\)

Reduce the fraction by dividing the top & bottom by 2:-

\(-\displaystyle\frac{3}{4}\)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

761090000

Step-by-step explanation:

10⁸ = 100000000

7.6109 * 100000000 = 761090000

Answer:

761090000

Step-by-step explanation:

=7.6109×10^8

=761090000

ANS

Answer:

Three-hundred twenty six thousandths

Step-by-step explanation:

3 x 1/10 + 2 x 1/100 + 6 x 1/1000

Answer:

1) 77

2) 75

3) 168

Step-by-step explanation:

Answer:

Step-by-step explanation:

A1 = 3 * 2,3 = 6,9 m^2

A2 = 8 * 4,5 = 36 m^2

Correct answers -

a.Rate of change of water in the pool at t= 5 hours

b. Total volume of water in the pool at t=10 hours

c. Average rate of change of water in the pool = 389.31 gallons/hour

To answer the given questions, let's go step by step:

a. To find the rate of change of water in the pool at t=5 hours, we need to calculate the difference between the rate of water being pumped into the pool and the rate of water leaking from the pool at that specific time.

Rate of change of water in the pool at t=5 hours = P(5) - L(5)

P(5) = 1170 gal/hour (given)

L(5) = \(0.3e^5\) gal/hour (given)

Substituting the values into the equation:

Rate of change of water in the pool at t= 5 hours = 1170 - \(0.3e^5\)

b. To write an integral expression to calculate the total volume of water in the pool at t=10 hours, we need to integrate the rate of water being pumped into the pool over the time interval [0, 10] and subtract the integral of the rate of water leaking from the pool over the same interval.

Total volume of water in the pool at t=10 hours = ∫[0,10] P(t) - ∫[0,10] L(t) dt

P(t) = 1170 gal/hour (given)

L(t) = \(0.3e^t\) gal/hour (given)

Calculating the integrals:

∫[0,10] P(t) dt = ∫[0,10] 1170 dt = 1170t | [0,10] = 1170 × 10 - 1170 × 0 = 11700 gallons

∫[0,10] L(t) dt = ∫[0,10] 0.3\(e^t\) dt = 0.3 ∫[0,10] \(e^t\)dt = 0.3 (\(e^t\)) | [0,10] = 0.3 × (\(e^{10} - e^0\)) ≈ 0.3 × (22025 - 1) ≈ 6606.9 gallons

Total volume of water in the pool at t=10 hours = 11700 - 6606.9 ≈ 5093.1 gallons

c. To find the average rate of change of water in the pool over the 10 hours, we need to divide the change in volume by the time interval.

Average rate of change of water in the pool = (Change in volume) / (Time interval)

Change in volume = Total volume of water in the pool at t=10 hours - Initial volume of water in the pool

Change in volume = 5093.1 - 1200 = 3893.1 gallons

Time interval = 10 hours

Average rate of change of water in the pool = 3893.1 / 10 = 389.31 gallons/hour

d. To find the absolute maximum volume of water in the pool over the interval [0,10], we need to find the maximum value of the volume function within that interval.

To determine this, we can find the critical points by setting the derivative of the volume function equal to zero and check the endpoints of the interval.

Since the volume function is not provided, we cannot directly find the absolute maximum volume without additional information.

Final answers-

a.Rate of change of water in the pool at t= 5 hours

b. Total volume of water in the pool at t=10 hours

c. Average rate of change of water in the pool = 389.31 gallons/hour

For more questions on integral expressions, visit:

https://brainly.com/question/31397427

#SPJ11