interval notation: -6.5 < x≤ 3

Answer:

u = 0

Step-by-step explanation:

55 - 11u = 55

-11u = 0

u = 0

Andrew gets on a scale and reads his weight as 66 lb. If 1 kg ≈ 2. 2 lb, what is his mass in kilograms? His mass is 29.93 kilograms.

A pound( symbol lb) is a unit of mass used in the customary systems of dimension. The transnational avoirdupois pound( the common pound used moment) is defined as exactly 0.45359237 kilograms. The avoirdupois pound is original to 16 avoirdupois ounces.

A kilogram( symbol kg) is the base unit of mass in the International System of Units( SI). It's presently defined grounded on the fixed numerical value of the Planck constant, h, which is equal to 6.62607015 × 10- 34 in the units of J · s, or kg · m2 · s- 1. The cadence and the second are defined in terms of c, the speed of light.

The unitary method is used to find the value of a single unit from a given multiple, 1 pound = 0.45359237 kilograms ≈ 0.454 kilograms

66 pounds = 66 X 0.454 kilograms ≈ 29.93 pounds.

To learn more about kilogram, click here:

brainly.com/question/28844288

#SPJ4

  Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

Learn more about regression model here
https://brainly.com/question/31079962



#SPJ11

The height of water in the tank in feet after t seconds can be expressed as h(t) = H - (Aw/Ah) 2gh t2, where Aw and Ah are the cross-sectional areas of the water and the hole in square feet respectively,

and g is the gravitational acceleration (32 ft/s2). The interval of definition for h(t) is 0 ≤ t ≤ H/2gh.

The graph of h(t) is a parabola with its vertex at (H/2gh, H) and is symmetric about the line t = H/2gh. It starts at (0, H) and gradually decreases to (H/2gh, 0).

Given the tank is 11 ft high, has radius 2 ft and the circular hole has radius in, and it is initially full, the time it will take to empty can be calculated as: t = √(2H/gAh) = √(22/(32 x π(0.52))) = 3.87 seconds. Therefore, it will take approximately 3.87 seconds to empty.

for such more questions on gravitational acceleration

https://brainly.com/question/14374981

#SPJ11

The value of z-stat is -0.6721.

What is z stat?

The relationship between a value and the mean of a group of values is quantified by a Z-stat. The Z-stat is calculated using standard deviations from the mean. When a data point's Z-stat is 0, it means that it has the same score as the mean.

One standard deviation from the mean would be indicated by a Z-stat of 1.0. Z-stats can be positive or negative; a positive value means the score is above the mean, while a negative value means it is below the mean.

Solution Explained:

We use the formula,

\(z = \frac{P - \pi }{\sqrt{\frac{\pi (1-\pi )}{200} }}\), where P is the observed proportion, π is the hypothesized proportion

Therefore, P = 42/200 = 0.21 & π = 23/100 = 0.23

Putting the values in

\(z = \frac{0.21 - 0.23 }{\sqrt{\frac{0.23 (1-0.23)}{200} }}\)

After calculating, z-stat is therefore equal to -0.6721

To learn more about z-stat, use the link given
https://brainly.com/question/28000192
#SPJ4

The simplyfied expression is: -6 + 22i

To multiply two complex numbers, we need to apply distributive propiertie with each term of each parentheses. In this case:

Now we can solve:

i^2 is (-1). Then:

-6+22i is the simplified expression

Answer:

32

Step-by-step explanation:

5(5)+7

25+7

32

Answer:

112 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

18/6=51/p

do cross multiplication

6*51=p*18

306/18=p

17=p

therefore perimeter is 17 cm

The requried, to find the angle by which AB turns clockwise about point B to coincide with BC, we need to first identify points A, B, and C on a diagram.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

Here,
To find the angle by which AB turns clockwise about point B to coincide with BC, we need to first identify points A, B, and C on a diagram. Once we have done that, we can draw a line from B to C, and then compare the direction of AB to the direction of BC. The angle between these two lines will be the angle by which AB turns clockwise to coincide with BC.

Similarly, to find the angle by which AB turns counterclockwise to coincide with BE, we need to identify points A, B, C, and E on a diagram. Once we have done that, we can draw a line from B to E, and then compare the direction of AB to the direction of BE. The angle between these two lines will be the angle by which AB turns counterclockwise to coincide with BE.

Learn more about transformation here:
brainly.com/question/18065245

#SPJ1

A

the length of each pipe

Answer:

2451

Step-by-step explanation:

Multiply 43 with 57 and there is your answer.

Answer:

2,451 people.

Step-by-step explanation:

43 times 57 equals 2,451.

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Answer:

1/7

Step-by-step explanation:

what you're trying to find: # of word problems/ # of total problems

# of word problems = 5

# of total problems = 5 + 10 + 20 = 35

5/35 = 1/7

There are 6,158,592 ways to place the passengers into the vans.

Since each van has 9 passenger seats and there are a total of 10 people, it is not possible to place all of them in one van.

Thus, we need to consider two cases:

9 people in the blue van, 1 person in the red van.

There are 10 ways to choose the person who will ride in the red van, and the remaining 9 people will go in the blue van.

There is only 1 way to arrange the passengers in the red van, and 9! ways to arrange the passengers in the blue van.

The total number of ways for this case is:

10 x 9! = 3,628,800

8 people in the blue van, 2 people in the red van.

There are 45 ways to choose the two people who will ride in the red van, and the remaining 8 people will go in the blue van.

There are 2 ways to choose which person will sit in which seat in the red van, and 8!/(2!6!) ways to arrange the passengers in the blue van.

The total number of ways for this case is:

45 × 2 × (8!/2!6!) = 45 × 2 × 28 × 7! = 2,529,792

The total number of ways to place the passengers into the vans is:

3,628,800 + 2,529,792 = 6,158,592

For similar questions on passengers

https://brainly.com/question/30804093

#SPJ11

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

Learn more about holding period

brainly.com/question/32568151

#SPJ11

The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The area of the circle is 9π. Then the radius of the circle is given as,

A = π

πr² = π

r² = 1

The center of the circle is at (-7, -15). Then the equation of the circle is given as,

(x + 7)² + (y + 15)² = 1

The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.

More about the equation of the circle link is given below.

https://brainly.com/question/10618691

#SPJ1

Answer:

B, -3/4

Step-by-step explanation:

Slope can be found by using rise over run. From point x the line drops three points making the rise -3, and it goes to the right four points making the run 4. That makes our answer -3/4.

The mean cooking time for a random sample of 16 orders is less than 7.0 minutes is 0.4356.

The z-score can be calculated as follows:

\(z = (x - μ) / σ\)

Where x is the mean cooking time, μ is the population mean cooking time, and σ is the population standard deviation.

For the given problem, x = 7.0, μ = 7.7, and σ = 2.1. Therefore,

\(z = (7.0 - 7.7) / 2.1 = -0.3 / 2.1 = -0.1428\)

Therefore, the probability that the mean cooking time for a random sample of 16 orders is less than 7.0 minutes is equal to the probability of a z-score less than -0.1428. This probability can be found using the z-table and is equal to 0.4356.

Thus, the probability that the mean cooking time for a random sample of 16 orders is less than 7.0 minutes is 0.4356. This can be interpreted as follows: 43.56% of the time, the mean cooking time of a random sample of 16 orders at the restaurant during the lunch hour will be less than 7.0 minutes.

Learn more about Probability here :

https://brainly.com/question/11092946

#SPJ4

Nora could run 7.5 minutes per mile to qualify for the state cross-country championships. The correct answer is option c.

To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. So, her average rate should be:

average rate = total time / total distance

If she runs at the slowest rate possible to still qualify, then her average rate would be:

average rate = 30 / 4 = 7.5 minutes per mile

Therefore, the correct option is c) 7.5.

If she runs slower than this average rate, then her total time would exceed 30 minutes and she would not qualify.

To know more about average rate refer to-

https://brainly.com/question/29383345

#SPJ11

Answer:

1,678

Step-by-step explanation:

1030(1.05)^10 = 1677.76

The statement that 'When data with a bell-shaped distribution is standardized, the result will have a standard deviation of 1. However, when data with a wider-spread, bimodal distribution is standardized, the result will tend to have a standard deviation larger than 1' is false.

Standardizing data involves transforming it into a distribution with a mean of 0 and a standard deviation of 1. This is done by subtracting the mean of the original data from each data point and then dividing by the original standard deviation. This process is called z-score calculation.

When data has a bell-shaped distribution, the result of standardization will have a standard deviation of 1, as this is the main goal of standardization. However, when data has a wider-spread, bimodal distribution, the standard deviation of the standardized data will still be 1 after the transformation.

The standardization process ensures that the shape of the original distribution is maintained while changing the mean and standard deviation to the desired values, so regardless of whether the distribution is bell-shaped, bimodal, or any other shape, the standardized data will have a standard deviation of 1.

Hence, the statement is false.

Learn more about Bell-shaped distribution:

https://brainly.com/question/18048847

#SPJ11

Answer:

Emanuel did a mistake in her first step.

Step-by-step explanation:

The given expression is

\(\left(\dfrac{3}{5}\right)\left(\dfrac{4}{9}\right)\left(-\dfrac{1}{2}\right)\)

Emanuel solve this problem but she did a mistake in her first step. She distributes negative sign with 1 and 2 both which is incorrect. We can write negative sign with either 1 or 2 but not both.

Correct steps are:

Step 1:

\(\dfrac{(3)(4)(-1)}{(5)(9)(2)}\)

Step 2:

\(\dfrac{-12}{90}\)

Step 3:

\(-\dfrac{2}{15}\)

Therefore, she did a mistake in her first step.

Answer:

a

Step-by-step explanation:

Based on the recommendation of having at least 10 observations per predictor in the training data set, with 20 predictor variables based on the 10 observations per predictor rule:20 predictor variables * 10 observations per predictor = 200 records for the training set.

In this study, the minimum number of records needed for the training set  alone would be 200 (10 x 20).

If the training set is planned to be 50% of the total data, then the total minimum number of records needed for the entire study would be 400 (200 / 0.5). To break it down further, the validation set would require a minimum of 120 records (10 x 20 x 0.3 = 120) and the testing set would require a minimum of 80 records (10 x 20 x 0.2 = 80).
Therefore, the total minimum number of records needed for this study would be 400 (200 for training + 120 for validation + 80 for testing).

Since the training set represents 50% of the total data, we can use this information to calculate the total number of records needed for the entire study:200 records (training set) / 0.5 (50% proportion of training set) = 400 total records

Therefore, a minimum of 400 records should be available for this study to ensure stable results in the predictive analytics model with 20 predictor variables.

To learn more about variables : brainly.com/question/17344045

#SPJ11

Water vapor is an important component of the Earth's atmosphere, and it plays a crucial role in regulating the climate. water vapor makes up about 0-4% of the Earth's atmosphere by volume . So the correct option is A.

It is a greenhouse gas, which means that it can trap heat in the atmosphere and contribute to global warming. The amount of water vapor in the atmosphere can vary depending on location, temperature, and weather conditions. On average, water vapor makes up about 0-4% of the Earth's atmosphere by volume. This may seem like a small amount, but it has a significant impact on weather patterns and climate. As temperatures rise due to climate change, the amount of water vapor in the atmosphere is expected to increase, which could have further impacts on global climate.

Learn more about Earth's atmosphere,

https://brainly.com/question/13154099

#SPJ4

Answer: Read the step by step to learn and find the answer.

Step-by-step explanation:

We know that to grade something by percentage missing a certain amount of questions effects your grade. Think back to your last test. Maybe you got 3 or 4 wrong and ended up getting an 80 percent. Here we are going based off 50 questions. We know that if we get 19 questions wrong out of 50 we would get a 62%. If we got 14 wrong we would have a 72%. 9.5=81%. 6=88% and 4=92%. We already know the answer is NOT d or c because each section of the box and whisker is 25%. This means that the answer is 100% B. Especially because they asked what was most likely true and none of the other answers matched up.

Answer:

26 miles per houre

Step-by-step explanation:

sow you put 450 amd 3.4 so you subtract but first you gat to put on the 45.0 -3.4 and then you git youre answred

Answer:

slope is -3/5

Step-by-step explanation:

3x + 5y = 15

5y = -3x + 15

y = -3/5x + 3

slope is -3/5

Answer:

$425

Step-by-step explanation:

Let the dryer cost x

and the dish washer cost y

x+y=784-----------1

y=x-66-------------2

put the value of y=x-66 in 1

x+x-66=784

2x= 784+66

2x=850

x=850/2

x=425

Hence the dryer cost $425