A number line going from negative 5 to positive 5. Which of the following statements is true when comparing numbers using a number line? The number closest to zero is always the least. The number farthest from zero is always the greatest. The number farthest right is always the least. The number left is always the least.

In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Answer:

50% times n + 0.900

Step-by-step explanation:

I Think It's That.

Answer: mandatory and discretionary.

The total surface area of the closed milk tin is 528 cm²

The shape of the closed tin of milk is cylinder.

The formula for calculating the total surface area of cylinder is the curved surface area of the cylinder + the area of the two circles(on the top and the bottom) which equals to 2πr(r+h), where r is the radius of the cylinder and h represents the height of the cylinder.

The diameter of the cylinder is 12cm and the height of the cylinder is 8cm.

The radius of the cylinder is half of the diameter of the cylinder which is 12/2=6cm

By putting the values, we get = 2×22/7×6(6+8)

    = 264/7(14)

    = 264(2)

    = 528 cm²

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Therefore, the formula for converting 35 liters to milliliters is 35000, with a conversion factor of 1000.

This is further explained below.

Generally,  The amount that is supplied in liters must be multiplied by 1000 in order to be converted to milliliters.

A conversion factor is a number that may be multiplied or divided to shift the units of measurement used for one set to another.

In situations when a conversion is required, the correct conversion factor that results in the same value must be used. For the purpose of converting inches to feet, for instance, the correct value for the conversion is 12 inches equaling 1 foot.

In conclusion, Therefore 35 liters to milliliters is given as 35000, conversion factor of 1000

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Answer:

1000ml and 1 liter

Step-by-step explanation:

Answer:

x = 21

Step-by-step explanation:

Angle 1 and angle 2 are supplementary because they make a straight line

so their sum is equal to 180:

m<1 + m<2 = 180

x + 96 + 3x = 180 add like terms

4x + 96 = 180 subtract 96 from both sides

4x = 84 divide both sides by 4

x = 21 to fins the angle measure replace x with the value we found

Answer:

So the answer is 20/64=5/16

The probability of getting at least 3 heads when a fair coin is tossed 6 times is 3/64.

Here, correct answer will be 3/64

This means that there is a 3 in 64 chance that 3 or more heads will be obtained when the coin is flipped 6 times. This can be calculated by finding the total number of possible outcomes of flipping the coin 6 times and then subtracting the number of outcomes that contain fewer than 3 heads.

The total number of possible outcomes is 2^6, which is 64. The number of outcomes that contain fewer than 3 heads is 7, which is the total of 1 head, 2 heads, and 0 heads. Therefore, the probability of getting at least 3 heads when a fair coin is tossed 6 times is 3/64.

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The equation of the parabola that has its focus at (0, -2) and directrix at y = 4 is presented as follows;

\(y = 1 - \frac{ x² }{12}\)

The focus of the parabola, obtained from a similar question posted online is (0, -2)

The given directrix is y = 4

From the definition of the directrix, we have;

(x - 0)² + (y - (-2))² = (y - 4)²

Which gives;

x² + (y + 2)² = (y - 4)²

4•y = y² - 8•y + 16 - (x² + y² - 4)

12•y = 12 - x²

The equation of the parabola is therefore;

\(y = 1 - \frac{ x² }{12}\)

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Answer:

$949

Step-by-step explanation:

→ Write a function

y = 150 + 17x

→ Substitute in 47

949

Answer and Explanation: The conditions when the net force and the net torque are zero are called static equilibrium.

Since the p-value (0.0179) is less than the typical significance level of 0.05, we reject the null hypothesis. We have evidence to suggest that the true proportion of uninjured occupants in head-on collisions exceeds 0.25 based on the sample data.

To test whether the true proportion of uninjured occupants in head-on collisions exceeds 0.25, we can perform a hypothesis test using the given sample data.

Let's set up the null and alternative hypotheses:

Null Hypothesis (H₀):

The true proportion of uninjured occupants in head-on collisions is 0.25 or less.

Alternative Hypothesis (H₁):

The true proportion of uninjured occupants in head-on collisions exceeds 0.25.

To test these hypotheses, we can use the proportion test, assuming the conditions for the test are met (e.g., the sample can be considered random and independent, and the sample size is sufficiently large).

Let's calculate the test statistic (z-score) and p-value based on the sample data.

Sample proportion of uninjured occupants:

p = 95/319 = 0.2978

Sample size:

n = 319

Under the null hypothesis, assuming the true proportion is 0.25 or less, the expected proportion of uninjured occupants is 0.25.

The test statistic (z-score) can be calculated as:

z = (p - p₀) / sqrt((p₀ * (1 - p₀)) / n)

where p₀ is the assumed proportion under the null hypothesis (0.25), and n is the sample size.

Substituting the values:

z = (0.2978 - 0.25) / sqrt((0.25 * (1 - 0.25)) / 319)

z = 2.1185

To determine the p-value associated with this test statistic, we can use a standard normal distribution table or a calculator. The p-value is the probability of observing a test statistic as extreme as the calculated z-value, assuming the null hypothesis is true.

The p-value associated with a z-score of 2.1185 is approximately 0.0179.

Finally, we can compare the p-value to the significance level (α) to make a decision. If the p-value is less than α (typically 0.05), we reject the null hypothesis in favor of the alternative hypothesis. If the p-value is greater than or equal to α, we fail to reject the null hypothesis.

In this case, since the p-value (0.0179) is less than the typical significance level of 0.05, we reject the null hypothesis. We have evidence to suggest that the true proportion of uninjured occupants in head-on collisions exceeds 0.25 based on the sample data.

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The category has an error in the table is A. breakfast.

A survey in human subjects research is a set of questions designed to elicit specific information from a specific group of people. Surveys can be conducted by phone, mail, or the internet, as well as on street corners or in shopping malls.

Historically, survey research has included large amounts of population-based data collection.

The primary goal of this type of survey research was to quickly obtain information describing the characteristics of a large sample of individuals of interest.

The category has an error in the table is breakfast. In this case, the children should be 45 and not 30.

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The cups of sugar she need to bake all 54 cakes is 70 cups

Given that Felicity is baking 54 cakes for a community bake sale and that each cake requires 1 2/3 cup of sugar.

The number of sugar needed will be:

= 54 × 1 2/3

= 54 × 5/3

= 270 / 3

= 90 sugars

If Felicity already has 20 cups of sugar, the sugar that will be needed will be:

= 90 - 20

= 70

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The point of intersection between the given plane and the line perpendicular to the plane and passing through (8, 4, 3) is (-4, -14, 9).

To find the point of intersection between a plane and a line, we need to know the equation of the plane and the equation of the line.

Given:

Plane equation: ax + by + cz = d

Line equation: P = P₀ + tV

To find the point of intersection, we can substitute the line equation into the plane equation and solve for the parameter 't'.

Let's assume the plane equation is:

2x + 3y - z = 4

And the line equation passing through (8, 4, 3) and perpendicular to the plane can be represented as:

P = (8, 4, 3) + tV

First, we need to find the normal vector of the plane. From the coefficients of x, y, and z in the plane equation, we can determine the normal vector as (2, 3, -1).

Since the line is perpendicular to the plane, the direction vector 'V' of the line will be the same as the normal vector of the plane. Therefore, V = (2, 3, -1).

Substituting the values into the plane equation:

2(8) + 3(4) - 1(3) + t(2) + t(3) + t(-1) = 4

Simplifying the equation:

16 + 12 - 3 + 2t + 3t - t = 4

28 + 4t = 4

4t = -24

t = -6

Now, substitute the value of 't' back into the line equation to find the point of intersection:

P = (8, 4, 3) + (-6)(2, 3, -1)

P = (8, 4, 3) + (-12, -18, 6)

P = (-4, -14, 9)

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Answer and Step-by-step explanation:

Distribute the 6mn to the 2m and -3n

The answer is:

\((12m^{2} n ) - 18mn^{2}\)

#teamtrees #WAP (Water And Plant)

Answer:

12m^2n - 18mn^2

Step-by-step explanation:

6mn(2m-3n)

Multiply with distributive property, so basically just multiply

12m^2n - 18mn^2

\(\textbf{Heya !}\)

basic math tips -»

"of" means multiply

\(\sf{\cfrac{1}{10}\cdot\cfrac{5}{1}}\)

multiply the numerators and denominators times each other -»

\(\sf{\cfrac{5}{10}}\)

reduce:-

\(\sf{\cfrac{1}{2}}\)

`hope it was helpful to u ~

Poppy's sister used approximately 3.14 inches more wire per wall hanging than Poppy.

To find the amount of wire used by both Poppy and her sister, we'll calculate the circumference of their respective wall hangings using the formula:

C = 2πr

Since the diameter is twice the radius, we can find her sister's radius as follows:

Poppy's radius = 6.25 inches

Poppy's diameter = 2 * 6.25 = 12.5 inches

Sister's diameter = Poppy's diameter + 1 = 12.5 + 1 = 13.5 inches

Sister's radius = 13.5 / 2 = 6.75 inches

Now, we'll calculate the circumferences using the given value for π:

Poppy's circumference = 2 x 3.14 x 6.25 ≈ 39.25 inches

Sister's circumference = 2 x 3.14 x 6.75 ≈ 42.39 inches

Difference = Sister's circumference - Poppy's circumference

Difference = 42.39 - 39.25 = 3.14 inches

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Answer:

They are supplementary.

Step-by-step explanation:

A linear pair consists of two opposite angles whose non-common sides create a straight line. If a linear pair consists of two angles, then they are supplementary

The fewest number of days over which the tournament can take place is 5 days.

As each team plays with other team Once and we have total 5 teams so number of matches will be (4+3+2+1)

Counted as team 1 plays with all other teams = 4 matches

Team 2 plays with team 3,4,5 =3 matches

Team 3 play with team 4,5=2 match

And the last match is between team 4 and team5

Total match = 10 and can be played two matches per day:

Number of days = 10/2

= 5 days.

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S is transitive. Since S is reflexive, symmetric, and transitive, it is an equivalence relation.

To prove that S is an equivalence relation, we need to show that it satisfies three conditions: reflexivity, symmetry, and transitivity.

Reflexivity: For any ordered pair (a, b), we have a + b = b + a. So, (a, b) S (a, b), and S is reflexive.

Symmetry: If (a, b) S (c, d), then a + d = b + c. Rearranging this equation gives us d + a = c + b, which implies that (c, d) S (a, b). Therefore, S is symmetric.

Transitivity: If (a, b) S (c, d) and (c, d) S (e, f), then we have a + d = b + c and c + f = d + e. Adding these two equations gives us a + 2d + f = b + 2c + e. Rearranging this equation, we get (a, b) S (e, f). Hence, S is transitive.

Since S is reflexive, symmetric, and transitive, it is an equivalence relation.

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Answer:

-10

Step-by-step explanation:

pemdas

Answer:

Today : Saturday, 07 November 2020

Hour: 14.19 WIB (Indonesia)

_______________________________

5 (-6 + 8) - (8 + 12)

= 5 (2) - 20

= 10 - 20

= -10

The powers that have same value as 1^8 are 1^n, n^0 where n=real number.

What are real numbers?

Real numbers are simply the combination of rational and irrational numbers, in the number system. In general, all the arithmetic operations can be performed on these numbers and they can be represented in the number line, also. At the same time, the imaginary numbers are the un-real numbers, which cannot be expressed in the number line and are commonly used to represent a complex number. Some of the examples of real numbers are 23, -12, 6.99, 5/2, π, and so on.

Now,

As we know anything raised to the power of 1 is always one and 0 raised to the power of anything is also one.

Hence, the powers that have same value as 1^8 are 1^n, n^0 where n=real number.

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This statement is True. The Systems Development Life Cycle (SDLC) is a structured approach that outlines the stages involved in developing information systems and applications.

It is considered the traditional and widely accepted process for managing and guiding the development process.

The SDLC typically includes several key phases: requirements gathering and analysis, system design, development, testing, implementation, and maintenance.

Each phase has its specific objectives and deliverables, ensuring a systematic and controlled progression from conceptualization to the final product.

The SDLC provides a framework for project management, risk assessment, resource allocation, and quality control.

It emphasizes a structured and disciplined approach to ensure that information systems and applications meet the desired requirements, are thoroughly tested, and are implemented successfully.

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The probability that their average age is between 90 & 100 months is 0.245.

We must determine z for each number to determine the likelihood that the group's mean age is between 90 & 100 months.

Z = (x – mean) ÷ standard deviation

Let x is the average age of a vehicle

Z1 = (90 – 96) ÷ 16 = -0.375

Z2 = (100 – 96) ÷ 16 =  0.25

The area under the curve is then determined using the z table.

Z1 area equals 0.354

Z2 area of 0.599

To calculate the likelihood that the group's mean lifespan is between 90 & 100 months, apply the following formula:

0.599 – 0.354 = 0.245

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y=x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

Y=x

Step-by-step explanation:

it's a straight line passing by the center (0,0) at 45°

You can tell because Y is equal to X for every value of X and the points you posted fall in this case.

0.0405 is the number that contain the digit 2 once, the digit 3 twice, the digit 4 thrice, and more 5s than threes, leading 0s are allowed.

According to collect from the data

Let us assume that the data as followed by

How many eight digit numbers contain the digit 2 exactly once, the digit 3 exactly twice, the digit 4 exactly thrice and more 5s than threes.

Let many eight digit numbers contain the digit 2 once, the digit 3 twice the digit 4 thrice and more 5s than threes.

2,3,3,4,4,4

now then:

= 8!/2!3!3!4!4!4!

= 8.7.6.5.4!/2×6×6×24×24×4!

= 35/864

Now 0.405 then the eight digit number contains the digit 2 once the digit 3 .

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Answer:

508.68

*sorry if this is late

Step-by-step explanation:

Divide 36 by 2 to get radius

Multiply 18 by itself to get 324

Multiply 324 by 3.14 to get the area of a circle

Divide it by 2 to get the area of the semi circle

Answer:

25%

Step-by-step explanation:

y is 75% of what x was