-5x + 30 = -10 find the value of x using step by step equation.

The probability that the first child selected will be a girl is 0.5 or 50%.

The probability of a child being a boy or a girl is equal, as long as the parents are healthy and have no genetic conditions that affect the gender of the child. In general, the chance of having a boy or a girl is about 50-50.

However, it is important to understand that each individual birth is a random event and that the probability of having a boy or a girl is calculated over a large number of births.

This means that even though the overall probability of having a boy or a girl is equal, it is possible to have a run of several boys or several girls in a row.

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With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

With a simple random sample, each participant is selected at random from the population, ensuring that everyone has an equal chance of being selected.

This eliminates any potential bias or manipulation, as no one can control or influence the selection process. Additionally, the sample size can be increased to amplify the accuracy and representativeness of the data collected. Therefore, a simple random sample is a reliable method for gathering unbiased data.

With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

This means that each individual or element in the population has an equal chance of being chosen, ensuring unbiased and representative sample results.

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With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

With a simple random sample, each participant is selected at random from the population, ensuring that everyone has an equal chance of being selected.

This eliminates any potential bias or manipulation, as no one can control or influence the selection process. Additionally, the sample size can be increased to amplify the accuracy and representativeness of the data collected. Therefore, a simple random sample is a reliable method for gathering unbiased data.

With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

This means that each individual or element in the population has an equal chance of being chosen, ensuring unbiased and representative sample results.

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The ratio of the orbital speed of Phobos to that of Deimos is approximately 0.3078.

The ratio of the orbital speed of Phobos to that of Deimos can be calculated using the following formula:

Speed ratio = (Radius of orbit of Phobos)^(3/2) / (Radius of orbit of Deimos)^(3/2)

Plugging in the given values, we get:

Speed ratio = (9,378 km)^(3/2) / (23,459 km)^(3/2) = (9378^(3/2) / 23459^(3/2))

Which is approximately equal to 0.3078

So the ratio of the orbital speed of Phobos to that of Deimos is approximately 0.3078.

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The point-slope form of an equation for the line that passes through (1,-5) with slope 2 is  y-2x = -7.

Point-slope form of the line = y-y₁ =m(x-x₁)

where (x₁,y₁)  is the point given and m is the slope given. The 'x' and the 'y' stay as variables.

Here (x₁,y₁) =(1,-5) and the slope m=2.

⇒ y-y₁ = m(x-x₁) = y-(-5) = 2(x-1)

⇒y+5 = 2x -2

⇒y-2x = -7.

Therefore, the point-slope form of equation for a line is y-2x = -7.

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Answer:

y=1/3x-7

Step-by-step explanation:

The estimated length of the board to the nearest hundredth of a meter is 2.49 meters. Therefore, Option A  is the correct choice.

To estimate the length of the board to the nearest hundredth of a meter, we need to look at the digit in the thousandth place, which is the fourth decimal place. In this case, the digit in the thousandth place is 3.

If the digit in the thousandth place is less than 5, we round down. In this case, 3 is less than 5. Therefore, we keep the digits up to the hundredth place as they are, and the estimated length of the board becomes 2.49 meters.

Option A, 2.49m, is the correct choice as it represents the estimated length of the board to the nearest hundredth of a meter.

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False. Just because two vectors are eigenvectors of the same matrix with different eigenvalues, it does not mean they are orthogonal to each other.

Eigenvectors of a matrix are vectors that, when the matrix is multiplied by them, the vector remains the same except for a scaling factor. Eigenvalues are the scaling factors of the eigenvectors. If two eigenvectors, v1 and v2, of a 4x4 matrix a have eigenvalues 1 and 2 respectively, it does not mean that they are orthogonal (i.e. at a 90 degree angle) to each other. Orthogonality is a property of two vectors that is independent of the matrix and can only be determined by calculating the dot product of the two vectors. Therefore, two eigenvectors of the same matrix with different eigenvalues may or may not be orthogonal to each other.

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Answer:

0.0063

Step-by-step explanation:

Answer:

36 unit

Step-by-step explanation:

The number of unit cubes in the shape = 36 unit cubes

The dimension (volume) of each cubes = 1 unit³

The type of shape = 3-dimensional

The arrangement of the cubes in the shape = Without gaps

The volume of a 3-dimensional shape made of a number of unit cubes without gaps is equal to the sum of the unit cubes

Therefore;

The volume of the 3-dimensional shape that consists of 36 unit cube, V = (1 + 1 + 1 +...+ 1) unit³ = 36 unit³

The volume of the 3-dimensional shap³e, V = 36 unit³

Answer:

You selected the correct answer.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

119-59 = 60

If there were only twenty-two students instead of fifty-two who contributed their moms' heights and we wanted to use a one-sample confidence interval procedure (whether it would be z or t), we would have had to assume that the population of mom-heights was normally distributed.

The one-sample confidence interval is used to estimate the true population mean based on a sample mean and standard deviation. The procedure assumes that the sample is a random sample from a normally distributed population. With a sample size of at least 30, the central limit theorem allows for the use of a z-test to construct the confidence interval. With a smaller sample size, a t-test would be more appropriate. However, the assumption of normality still needs to hold for the validity of the confidence interval.

If the sample size is smaller than 30, the assumption of normality can be replaced by the assumption of approximately normal data. This means that the data follows a distribution that is symmetric and bell-shaped, even if it is not exactly normal.

However, the validity of the confidence interval can be compromised if the data is highly skewed or contains outliers. In such cases, it may be necessary to use non-parametric methods to construct a confidence interval.

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Answer:false

Step-by-step explanation:

The speed of the van traveling south is 46 miles per hour. The correct option is  (G) 46.

Let's call the speed of the van traveling south "x" in miles per hour. Then, the speed of the van traveling north is "x + 10" miles per hour.

We know that the vans have been traveling for 2.5 hours, and that they are 255 miles apart. This means that the total distance traveled by both vans is 255 miles:

Distance traveled by the van traveling south + Distance traveled by the van traveling north = 255 miles

Using the formula distance = speed × time, we can express the distances traveled by each van in terms of their speeds and the time they traveled:

Distance traveled by the van traveling south = x × 2.5 = 2.5x

Distance traveled by the van traveling north = (x + 10) × 2.5 = 2.5x + 25

Substituting these expressions into the equation above, we get:

2.5x + 2.5x + 25 = 255

Simplifying this equation, we get

5x + 25 = 255

Subtracting 25 from both sides, we get:

5x = 230

Dividing both sides by 5, we get:

x = 46

Therefore, the speed of the van traveling south is 46 miles per hour. Answer: (G) 46.

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Answer:

y=jx+4

Step-by-step explanation:

The equtaion for slope intercept is y=mx+b. We know that the m is slope and for our problem, the slope is j. The x is always added to the equation. Also the b is the y intercept. For this problem, the y intercept is 4.

Answer:

Step-by-step explanation:

Assuming each person gets the same amount of work done, each wall in the first scenario takes 8 minutes to paint. If 3 people paint 4 walls, then each person is painting 1 1/3 of a wall. We can use that to find out how long it takes one person to paint 1 1/3 walls:

\(\frac{8min}{wall}*\frac{4}{3}walls=\frac{32}{3}min\). Interpreting that, it takes each person 10 2/3 minutes to paint 1 1/3 walls.

If 4 people paint 7 walls, that means that each person is painting 7/4 walls, or 1.75 walls each. Using the fact that it takes 10.66666 minutes to paint 1.33333 walls, we can find out how many minutes it will take to paint 1.75 walls:

\(\frac{10.6666}{1.33333}=\frac{x}{1.75}\) Cross multiply to get

18.666655 = 1.3333x so

x = 14.000 minutes

Answer:

Step one. Equate the two right hand sides to each other.

3x - 4 = 2x + 1

Step-by-step explanation:

Well one of the things you could do is graph the two equations. The intersection point is the solution to the system. We get 5,11 as the answer. I can hear you saying that's cheating, and it likely is, but it does get the answer.

The very first step without the graph is to equate each of the right hand sides to each other. That's because the left side are both ys and they have to be equal.

3x - 4 = 2x + 1                     Add 4 to both sides

3x - 4 + 4 = 2x + 1 + 4

3x = 2x + 5                         Subtract 2x from both sides

3x-2x = 2x-2x + 5              Combine

x = 5

y = 3x - 4

y = 3*5 - 4

y = 15 - 4

y = 11.

Answer:

commutative property of addition

Step-by-step explanation:

Answer:

6,78

Step-by-step explanation:

Data size=10, Sample mean=15, and Standard sample deviation=6,782

x= -1.875 or x= -15/8

Step-by-step explanation:

-2(5x+8)=14+6x

-10x-16=14+6x

-16x-16=14

-16x=30

x= 30÷(-16)

x= -1.875 or -15/8

a) To determine the demand for industrial fridges for February 2021 using a moving average with three periods, we need to calculate the average of the sales for January 2021, December 2020, and November 2020.

Sales:

January 2021: R11 000

December 2020: R16 000

November 2020: R14 000

Demand for February 2021 (moving average):

(11,000 + 16,000 + 14,000) / 3 = R13,667

Therefore, the demand for industrial fridges for February 2021 using a moving average with three periods is estimated to be R13,667.

b) To determine the demand for industrial fridges for February using a weighted moving average with three periods, we need to multiply each sales figure by its corresponding weight and then sum them up.

Sales:

January 2021: R11 000 (weight = 3)

December 2020: R16 000 (weight = 2)

November 2020: R14 000 (weight = 1)

Demand for February (weighted moving average):

(11,000 * 3 + 16,000 * 2 + 14,000 * 1) / (3 + 2 + 1) = R13,000

Therefore, the demand for industrial fridges for February using a weighted moving average with three periods (weights: 3, 2, 1) is estimated to be R13,000.

c) To evaluate the accuracy of each method, we can compare the forecasted demand with the actual demand for February 2021, which is not provided in the given data. Without the actual demand, we cannot make a direct assessment of accuracy. However, we can compare the two methods in terms of their characteristics.

Moving Average: The moving average method provides a simple and equal weight to all periods. It smooths out fluctuations and provides a stable estimate. However, it may not respond quickly to changes in the variable of interest.

Weighted Moving Average: The weighted moving average method allows for assigning different weights to different periods based on their importance or relevance. By giving higher weights to more recent periods, it can capture more recent trends and changes in the variable. This makes it more responsive to rapid changes in the demand.

Based on these characteristics, the weighted moving average method is expected to provide a better forecast in allowing the user to see rapid changes in the demand for industrial fridges.

Note: To evaluate accuracy more accurately, it is necessary to compare the forecasted values with the actual demand data.

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Answer:

y = \(\frac{4}{5}\) x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \(\frac{4}{5}\) and c = 0 , thus

y = \(\frac{4}{5}\) x ← equation of line

Answer:

(8,0)

Step-by-step explanation:

Answer:

0.77

Step-by-step explanation:

Convert  7/9 as a decimal.

Divide 7 by 9: 7 ÷ 9 = 0.7777777777777778

Answer:  

7/9

= 0.7777777777777778

= 0.77

First, we need to subtract the last payment from the last month's balance.

Then, apply the interest:

Step 1

Draw the preimage using the coordinates given

Step 2

Draw the image

To this in the form of (x,y), we will add ( -2,8) to all points.

Therefore, we will have;

The image is located 6.7 cm behind the lens, and is 3.7 cm tall (1.34 times the height of the object).

Using the thin lens equation, we can find the position of the image formed by the lens:

1/f = 1/d0 + 1/di

where f is the focal length of the lens, d0 is the object distance (the distance between the object and the lens), and di is the image distance (the distance between the lens and the image).

Substituting the given values, we get:

1/20 = 1/5 + 1/di

Solving for di, we get:

di = 6.7 cm

This tells us that the image is formed 6.7 cm behind the lens.

To find the height of the image, we can use the magnification equation:

m = -di/d0

where m is the magnification (negative for an inverted image).

Substituting the given values, we get:

m = -(6.7 cm)/(5.0 cm) = -1.34

This tells us that the image is 1.34 times the size of the object, and is inverted.

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The negative sign indicates an inverted image. Thus, the image formed is located 8.0 cm from the lens and has a height of 1.6 times that of the object, making it 4.48 cm in height.

In this scenario, an object with a height of 2.8 cm is positioned 5.0 cm in front of a converging lens with a focal length of 20 cm. To determine the location and size of the image formed by the lens, we can use the lens formula and magnification formula.

The lens formula states that 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance. Substituting the given values into the lens formula, we find:

1/20 = 1/v - 1/(-5.0)

Simplifying this equation yields:

1/v = 1/20 + 1/5.0

Solving for v, we obtain:

v = 8.0 cm

The positive value indicates that the image is formed on the opposite side of the lens. The magnification formula, M = -v/u, allows us to calculate the magnification of the image:

M = -8.0/-5.0 = 1.6

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Answer:

70,800 is your answer

Step-by-step explanation:

5,900*12=70,800