247 + 794 is the same as
? + 800

The IQR is the best measure of variability, and it equals 45.

Data variation can be caused by a variety of sources. Variability is also known as data spread. The standard deviation is a measure of variability since it measures the spread of data.

The range is the best measure of variability for the data shown, and its value is 45.

The range is defined as the difference between the largest and smallest values in a set of data.

In this case, the largest score is 88 and the smallest score is 20, so the range is 88 - 20 = 68.

The IQR (interquartile range) is another measure of variability, but it is not the best measure for this data set because the data set has only a few values and does not form a normal distribution. The IQR is a more appropriate measure for larger data sets that form a normal distribution.

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Answer:

x= the second one I hope I helped

The resulting velocity is 0.85 m/s

The force of attraction between all bodies in the universe is called Gravitational Force.

It is given in the question that

Weight of Astronaut and Equipment on Earth = 2030 N

The mass of the Astronaut and Equipment is

F =m * a

g = 9.8 m/s²

=2030/9.8

= 207.14 kg

The change in the momentum is given by

P₂-P₁  = force * time

There is no initial velocity , therefore initial momentum is zero

mv- 0 = Force *time

207.14 * v = 160 * 1.1

v =0.85 m/s

Therefore the resulting velocity is 0.85 m/s

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The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.

We know that,

The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.

The mean is gotten from the formula;

x' = ∑x/n

Number of hours of work per day are; 6, 7, 8, 9 and 10

Thus; sum up all of it

∑x = 6 + 7 + 8 + 9 + 10

∑x = 40

Mean is; x' = 40/5

x' = 8

Since Ryan concluded that the average is 8 hours,

Therefore,

We can say that Ryan is correct.

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

2x - 8 + 2x + 3

-8 = 3 so the statment is false for any value of x

Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

Answer:

3/2

Step-by-step explanation:

3/8 ÷ 1/4

Copy dot flip

3/8 * 4/1

12/8

Divide top and bottom by 4

3/2

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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The probability of getting someone who tested positive, given that he or she did not have the disease is 0.985

Probability is what has the potential to happen. This area of math examines how random events happen. A value between 0 and 1 is used to express it. In order to anticipate the possibility of events, probability has been introduced to mathematics. The degree of likelihood that something will happen can be used to define probability. This fundamental theory of probability, which is also applied to the probability distribution, can be used to estimate the likelihood of the results of a random experiment. We must first determine the total number of alternatives in order to determine the likelihood that a specific event will occur.

Given that : He or she did not have the disease. The individual actually had the disease No positive 9 , negative 133 Yes Positive 140 ,Negative 18 .

                      Yes              No

Positive :          140            9

negative :         18              133

P = \(\frac{Someone get positive }{he not had the disease}\)

= \(\frac{140}{142}\)

=0.985

The probability of getting someone who tested positive, given that he or she did not have the disease is 0.985

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1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

We have,

To calculate the amount of barbed wire needed to fence the circular piece of land, we need to find the circumference of the circle.

Given:

Radius (r) = 25 cm

The formula for the circumference (C) of a circle is:

C = 2πr

Substituting the given radius into the formula, we have:

C = 2π x 25 cm

Now, we can calculate the circumference in centimeters.

C = 2 x 3.14 x 25 cm

C ≈ 157 cm

Now,

To convert centimeters to meters, we divide the circumference by 100.

C (in meters) = 157 cm / 100

C (in meters) ≈ 1.57 meters

Therefore,

Approximately 1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

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The complete question.

A circular piece of land with a radius of 25 cm is going to be fenced. How many meters of barbed wire are needed?

Answer:

x = √7km

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

You take a right triangle and find the lengths of the two sides that are vertical and horizontal. Then, using the formula a^2 + b^2 = c^2, find the length of C

(aka: Hypotenuse)

hope this helps!

Answer:

6

See photo for explaination.

Answer:

i believe its 36x but im not sure i just did the math..

Answer:

11

Step-by-step explanation:

1. Listing Information

The number is 10.999244792948.

Simply put, numbers below 5 are rounded down and numbers that are greater than or equal to five are rounded up.

The tenths place value in 10.999244792948 is 9.

2. Solving the Problem

With the previous information in mind, 9 is greater than 5. Because of this, 10.999244792948 should be rounded to 11.

The probability that Oliver will receive no emails in between 9.00am and 11.30am is 2.599%.

Poisson Distribution is defined as a discrete distribution which measures the likelihood of happening an event in a certain period of time.

The formula for Poisson distribution is,

P(x) = (e^(-λ) λˣ) / x!

Given that,

Average rate of arrival of emails in an hour = 1.46 per hour

Between 9.00 am and 11.30 am, there are 2.5 hours.

Average rate of arrival of emails in 2.5 hours = 2.5 × 1.46

                                                                           = 3.65

So, λ = 3.65

x = 0  (since no emails.)

P(0) = (e^(-3.65) (3.65)⁰) / 0!

      = e^(-3.65)

      = 0.02599

      = 2.599%

Hence the probability is 2.599%.

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Answer:

ok

Step-by-step explanation:

Answer:

Great job.

Step-by-step explanation:

Answer:

a - 32.4

Step-by-step explanation:

-4 * 8.1 = -32.4

First, multiply .1 by -4 and you get -.4

Then multiply 8 by -4 and get -32

Combining these,

-32 -.4 = -32.4

Answer:

a. -32.4

Step-by-step explanation:

Answer:

\(\huge\boxed{D) \ f^{-1}(x) = (x-3)^2+2}\)

Step-by-step explanation:

\(f(x) = \sqrt{x-2} + 3\)

Replace f(x) by y

\(y = \sqrt{x-2} + 3\)

Interchange x and y

\(x = \sqrt{y-2} + 3\)

Solve for y

\(x = \sqrt{y-2} + 3\)

Subtracting 3 to both sides

\(x - 3 = \sqrt{y-2}\)

Taking square on both sides

\((x-3)^2 = y-2\)

Adding 2 to both sides

\(y = (x-3)^2 + 2\)

Replace \(y = f^{-1}(x)\)

\(f^{-1}(x) = (x-3)^2+2\)

Answer:

x and y

Step-by-step explanation:

you have to put 5 on the x axes and 3 on the y axes to cordanate 15

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Yes, the equation y = 5x represents direct proportion.

In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

In order to have a proportional relationship, the variables representing the each of the quantities must have the same constant of proportionality:

Constant of proportionality, k = y/x

Constant of proportionality, k = 5/1

Constant of proportionality, k = 5.

In conclusion, we can logically deduce that the given equation represents direct proportion.

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Complete Question:

Does this equation represent direct proportion?

y = 5x

Answer:

Step-by-step explanation:

5×(-2+x)=-20

-10+5x=-20

5x=-20+10

5x=-10

x=-10/5

x=-2

38 cupcakes can Eric make.  

percentage, a relative value indicating hundredth parts of any quantity.

According to the recipe, one cupcake requires 25% sugar, 25% egg, and 50% flour.

To convert the percentages to actual quantities, we can multiply the amount of each ingredient by 20 (the weight of one cupcake) and divide by 100.

Sugar: 25% × 20g = 5g

Egg: 25% × 20g = 5g

Flour: 50% × 20g = 10g

Eric has 200 grams of egg,

200g / 5g = 40 cupcakes.

Eric has 380 grams of flour

380g / 10g = 38 cupcakes.

Hence, 38 cupcakes can Eric make.

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Answer:

3h33j333jj3

Step-by-step explanation:b3n3n3nn3n33

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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