We write "-5°C" to describe a temperature that is 5 degrees Celsius below freezing
point and "5°C" for a temperature that is 5 degrees above freezing. In this context,
what do each of the following numbers describe?
a. 1°C
b. -4°C
C.[12]°C
d.1-71°C
Which temperature is colder: -6°C or 3°C?
Which temperature is closer to freezing temperature: -6°C or 3°C?
Which temperature has a smaller absolute value? Explain how you know.

Therefore, the probability of this event is 3/6 or 1/2.

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. It is used to quantify the uncertainty or risk associated with a particular event or situation.

given by the question.

Event: Rolling a standard die and landing on either 1, 2, or 3.

A standard die has six faces, numbered from 1 to 6. Rolling the die is a random experiment that can result in any of the six possible outcomes with equal probability. The event described in the statement only includes three of the six possible outcomes, namely 1, 2, and 3

To learn more about probability:

https://brainly.com/question/14210034

#SPJ1

Answer:

4t+5

Step-by-step explanation:

Answer:

f(2r) 6r - 5

Step-by-step explanation:

Substitute x = 2r into f(x) , that is

f(2r) = 3(2r) - 5 = 6r - 5

The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

Learn more about means from

https://brainly.com/question/1136789

#SPJ11

Hey there! I'm happy to help!

First, let's find the radius. The radius is half of the diameter.

8.4/2=4.2

Here's how to find the area of a circle.

Square the radius.

4.2²=17.64

And multiply by pi (3.14 in our case)

17.64(3.14)=55.3896

We round to the nearest tenth, giving us an area of 55.4 ft²

Have a wonderful day! :D

Answer:

(-3, -1); x = -3; y = -1

Step-by-step explanation:

-3x + 5y = 4; x + y = -4

solving via substitution

rearrange second equation: y = -x - 4

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

-3x - 5x - 20 = 4

-8x -20 = 4

-8x = 24

x = -3

- 3 + y = -4

y = -1

(-3, -1)

Check

- 3 + -1 = -4

Option A) "Cannot be negative" is a correct statement about the F distribution. The F distribution is a probability distribution that is used in statistical hypothesis testing to compare the variances of two populations.

The assertion "cannot be positive" about the F distribution is erroneous. The F distribution can only accept positive values and cannot accept negative values; however, it can accept values greater than zero.

"Is the same as the t distribution" is an error. When the sample size is small or the population standard deviation is unknown, the t distribution is employed for testing hypotheses regarding the population mean.

"Is the same as the z distribution" is similarly erroneous. When the population standard deviation is known and the sample size is large, the z distribution is employed as a probability distribution.

For such more question on distribution:

https://brainly.com/question/4079902

#SPJ4

The limit of the given function as x approaches infinity is infinity.

To find the limit of the given function as x approaches infinity, we need to analyze the behavior of the function for very large values of x.

First, we can observe that the term 49x^2 dominates the other terms in the function as x gets very large. This is because the square of any number grows much faster than a linear function (x) or a constant function (-7x).

Therefore, we can simplify the given function as follows:

lim x→[infinity] (49x^2 + x − 7x) = lim x→[infinity] 49x^2

Now we can directly evaluate the limit by applying the rule that states if a function is of the form ax^n where a and n are constants and x approachesinfinity, then the limit is infinity if n > 0 and negative infinity if n < 0.

In this case, a = 49 and n = 2, which is greater than 0. Therefore, the limit as x approaches infinity is infinity.

To know more about function visit:-

https://brainly.com/question/12431044

#SPJ11

Answer:

Step-by-step explanation:

Given function

Its inverse is

The second option is correct

Answer:

b

Step-by-step explanation:

got it right

Answer:

i think these are the same as the one i answered on ur other question

just not the number lines

Answer:

0.125

Step-by-step explanation:

Hope it helps

Answer:

(5/4) / 10

= (5×10)/4

= 50 / 4

= 25/ 2

= 12.5

Step-by-step explanation:

brainliest plz

The smallest y - intercept for the given equations is, (0, -6).

What is y - intercept?

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.

There are four function are given.

We have to find which function having smallest y - intercept.

Since, to find y - intercept we have to plug x = 0 in each equation.

Consider, the functions

1. g(x) = 2x - 6

Plug x = 0

g(0) = 0 - 6

g(0) = -4

⇒  The y - intercept is (0, -4).

2. f(x) = √x - 2

Plug x = 0

f(0) = 0 - 2

f(0) = -2

⇒  The y - intercept is (0, -2).

3. For 3 we get the equation, y = 2x + 1

Plug x = 0

y = 0 + 1

⇒  The y - intercept is (0, 1).

4. From graph the y - intercept is (0, -2).

Hence, the smallest y - intercept for the given equations is, (0, -6).

To know more about y-intercept, click on the link

https://brainly.com/question/25722412

#SPJ1

Answer:

hey, good afternoon!

Step-by-step explanation:

here is an example: the cost of a pizza is 7.50 and you can add a topping for 0.65 cents. find the cost of the pizza with 6 toppings

y=mx+b

the x stands for the toppings and y is the cost. the rate is 0.65 cents and the orginal amount of money is b. so the equation would look like this:

y= .65x+7.50. x=6

y = 65(6)+7.50

    =3.9+ 7.50= $11.50(answer)

the m is the rate of change in this question is 0.65 cents

b is initial/ fixed/ value once again in this qeustion it 7.50$  

hope this helps. have a great day!

The approximate angle of sunrise for February 3 at WPU, NJ, with an approximate latitude of 40 degrees north, would be around 66.5 degrees, and the approximate angle of sunset would be around 293.5 degrees.

To determine the approximate angle of sunrise and sunset for a specific location and date, we can use the knowledge that on the equinox, the sunrise and sunset angles are at their extremes. The equinox occurs around March 21 and September 21. Since we are looking for February 3, which is closer to the March equinox, we can use the values for the March equinox.

On the equinox, the sunrise and sunset angles are approximately 66.5 degrees and 293.5 degrees, respectively. These values correspond to the direction measured clockwise from due north.

Know more about latitude here:

https://brainly.com/question/14833692

#SPJ11

Answer:

=32

Step-by-step explanation:

the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)

The correct answer is up until now, you have gained 18,963,816 coins.

Initially, you were gaining 5 coins per minute. After 4 hours, the rate increased by 1 coin per minute, so you were gaining 6 coins per minute.

To calculate the number of coins gained, we need to convert the given time of 52674 hours to minutes. There are 60 minutes in an hour, so:

52674 hours * 60 minutes/hour = 3,160,440 minutes

Now we can calculate the number of coins gained:

For the first 4 hours:

4 hours * 60 minutes/hour * 5 coins/minute = 1,200 coins

For the remaining time:

(3,160,440 minutes - 4 hours * 60 minutes/hour) * 6 coins/minute = 18,962,616 coins

Adding the coins gained during the initial 4 hours to the coins gained during the remaining time:

1,200 coins + 18,962,616 coins = 18,963,816 coins

Therefore, up until now, you have gained 18,963,816 coins.

Learn more about statistics here:

https://brainly.com/question/15525560

#SPJ11

Answer:

37.5 minutes is the answer

Explanation:

(30 + 45) / 2 = 37.5

It will take 18 minutes if they both work together.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

George washes a car in 30 minutes

and Matthew washes the same car in 45 minutes.

let the t be the time taken when they both work together.

1/ 30 + 1/45 = 1/t

3/90 + 2/ 90 = 1/t

5/90 = 1/t

1/18 = 1/ t

t= 18 minutes.

hence, it will take 18 minutes if they both work together.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ5

Answer:

Step-by-step explanation:

A=number Adult tickets;S=A+74= number Student tickets

Total tickets=adult tickets + student tickets

724=A+(A+74)

724=2A+74 Subtract 74 from each side

650=2A divide each side by 2

325=A ANSWER 1: There were 325 Adult tickets sold

Answer:

7 hrs

Step-by-step explanation:

formula :- speed=distance/time

speed= 96kph

distance= 672 km

time=?

S=D/T

96=672/T

(cross multiply)

96T = 672

T = 672/96

T = 7 hrs

It takes 7 hours to travel a distance of 672 km at a speed of 96 kph.

Time = Distance/speed

Time = 672 / 96

Time = 7

It takes 7 hours to travel a distance of 672 km at a speed of 96 kph.

Answer: $0.22

Step-by-step explanation:

all 24 snickers together cost $5.28 so diving 24 by 5.28 would get u the cost for each individual bar. 24/5.28 = 0.22

The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.

However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.

To know more about digit visit:

https://brainly.com/question/30142622

#SPJ11

Limits of the first two classes are 54 - 61 or 54 to < 62 and 62 - 69 or 62 to < 70. A)  is the correct answer.

To determine the limits of the first two classes of a data set that contains 100 integer values with a minimum of 54 and a maximum of 112, the following steps are taken:

Subtract the minimum value from the maximum value

112 - 54 = 58

Divide the result obtained by the desired number of classes

58 / 8 = 7.25

Round the number obtained from step two to a whole number 7.25 → 7

Determine the width of each class by multiplying the rounded number from step three by the desired number of classes7 × 8 = 56

Add the result obtained from step five to the minimum value

54 + 56 = 110

Limits of the first two classes are 54 - 61 or 54 to < 62 and 62 - 69 or 62 to < 70. A)  is the correct answer.

To know more about Limits visit:

https://brainly.com/question/12211820

#SPJ11

Answer:

52

Step-by-step explanation:

The dimension of the pool that Sam needs to build a fence is 23.75 ft and 76.25 ft.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.

Sam needs to build a fence around his pool.

The pool and the sidewalk around it have a distance of 200 feet, so the perimeter of the fence needs to be at least 200 feet.

The length of the fence is five more than three times the width. That is

L = 3W + 5

Then by the formula of the perimeter.

\(\rm P\ \ = 2(L+W)\\\\200 = 2(3W + 5 + W)\\\\100 = 4W + 5\\\\9\ 5 = 4W\\\\W \ = 23.75\)

Then the length will be

L = 3(23.75) + 5

L = 71.25 + 5

L = 76.25 ft

Thus, the dimension of the pool that Sam needs to build a fence is 23.75 ft and 76.25 ft.

More about the rectangle link is given below.

https://brainly.com/question/10046743

Answer: To simplify your expression using the Simplify Calculator, type in your expression like 2(5x+4)-3x.

The simplify calculator will then show you the steps to help you learn how to simplify your algebraic expression on your own.

Type ^ for exponents like x^2 for "x squared". Here is an example:

Step-by-step explanation:

don't know if this will help but I hope s

The area of the shaded region is 336 ft².

We have,

From the diagram,

The area of the shaded region.

= Area of the swimming pool along with the walkway - Area of the swimming pool _______ (A)

Now,

Area of the swimming pool along with the walkway.

= 22 x 40

= 880 ft² _____(1)

Area of the swimming pool.

= 16 x 34

= 544 ft² ______(2)

Now,

Substitute (1) and (2) in (A)

The area of the shaded region.

= 880 - 544

= 336 ft²

Thus,

The area of the shaded region is 336 ft².

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ1

(Hey, angles rock!)

Answer:

45 + 60 = 105

Step-by-step explanation:

ABC consists of two angles, angle ABD and angle DBC. Therefore, the sum of the measures of angles ABD and DBC is the measure of ABC.

45 + 60 = 105

Learn more about correlation coefficient on the given link:

https://brainly.com/question/4219149

#SPJ11

By using Chebyshev's Inequality with K=3, we can determine that at least 88.89% of the days had temperatures between "F and "F, where "F represents the mean temperature of 76.4°F.

Chebyshev's Inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. In this case, K=3 means that we are considering a range of three standard deviations from the mean.

The inequality states that for any dataset, the proportion of data falling within K standard deviations of the mean is at least 1 - (1/K^2). So, for K=3, we have 1 - (1/3^2) = 1 - (1/9) = 8/9 ≈ 0.8889. Therefore, at least 88.89% of the data falls within three standard deviations of the mean.

In the context of the temperature data, we can conclude that at least 88.89% of the days had temperatures between the mean temperature of 76.4°F minus three standard deviations (76.4 - 3 * 7.3) and the mean temperature plus three standard deviations (76.4 + 3 * 7.3). This range represents a relatively high proportion of the dataset, indicating that the temperature observations are fairly concentrated around the mean with limited extreme values.

Learn more about standard deviations here:

brainly.com/question/13336998

#SPJ11

A sample size of approximately 539 would be needed to estimate the mean body temperature within 0.1 degrees with 98% confidence, assuming a population standard deviation of 1.

To determine the sample size needed to estimate the mean body temperature with a desired level of precision and confidence, we can use the formula for sample size calculation:

n = (Z * σ / E)²

Where:

n is the required sample size,

Z is the Z-score corresponding to the desired confidence level (98% confidence corresponds to a Z-score of approximately 2.33),

σ is the population standard deviation (if unknown, it can be estimated from a pilot study or previous research),

E is the desired margin of error (0.1 degrees in this case).

Since you haven't provided the population standard deviation (σ), we cannot calculate the exact sample size. The population standard deviation reflects the variability of body temperatures in the population from which the sample will be drawn.

If we assume a conservative estimate for the population standard deviation, such as σ = 1 (which may not necessarily reflect the true variability), we can calculate the sample size using the formula:

n = (2.33 * 1 / 0.1)² ≈ 539

Thus, a sample size of approximately 539 would be needed to estimate the mean body temperature within 0.1 degrees with 98% confidence, assuming a population standard deviation of 1.

Learn more about  Standard Deviation at

brainly.com/question/29115611

#SPJ4

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

To know more about angle visit:

https://brainly.com/question/31818999

#SPJ11