Let g(x)=-1/2x+ 6 and h (x) =g(x)-3 which statement descibes the graph of h(x)?

The probability of obtaining a sample mean greater than 92.25 WPM is extremely small, approaching zero.

We can use the Central Limit Theorem to solve this problem, since we have a large sample size (n=6666) and a known population mean (μ=8989) and standard deviation (σ=1616).

The Central Limit Theorem states that the distribution of the sample means will be approximately normal with a mean of μ and a standard deviation of σ/√n.

So, for this problem:

We want to find the probability that the sample mean would be greater than 92.25 WPM, which we can convert to a z-score using the formula z = (x - μ) / (σ / √n), where x is the sample mean.

z = (92.25 - 8989) / (1616 / √6666) = -116.45

Now, we can use a standard normal distribution table or a calculator to find the probability that a standard normal random variable is greater than -116.45. Since this probability is extremely small (essentially zero), we can conclude that the probability of getting a sample mean greater than 92.25 WPM is also essentially zero.

Therefore, the answer to the problem is that the probability of getting a sample mean greater than 92.25 WPM is essentially zero, or very close to 0.

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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:11486.34

Step-by-step explanation:

p is semiperimeter

p=(a+b+c)/2

p=(174+138+188)/2

For Heron equation,

S=\(\sqrt{p*(p-a)*(p-b)*p-c}\)

so, it is 11487.34

Answer:

  11,486.3 square units

Step-by-step explanation:

You want the area of the triangle with side lengths a=174, b=138, c=188.

The area of a triangle can be found from the lengths of the three sides using Heron's formula:

  A = √(s(s -a)(s -b)(s -c)) . . . . . . . where s = (a+b+c)/2, the "semiperimeter"

The calculation is shown in the second attachment.

  s = (174 +138 +188)/2 = 500/2 = 250

  A = √(250(250 -174)(250 -138)(250 -188)) = √(250(76)(112)(62))

  A = √131936000 ≈ 11486.3

The area of the triangle is about 11486.3 square units.

__

Additional comment

An effectively equivalent way to find the area is to use the Law of Cosines to find an angle, then use the trig formula for the area.

  C = arccos((a²+b²-c²)/(2ab)) = arccos(13976/48024) ≈ 73.080899°

  Area = 1/2(ab·sin(C)) = 1/2(24012·0.9567166) ≈ 11486.3

We say this is "effectively equivalent" not only because it gives the same area, but because using the relation between cos(C) and sin(C), you can demonstrate that this formula gives Heron's formula for the area.

Given the price the stickers can be sold for, and the cost in total of the stickers, you can make profit.

The total revenue that can be made on the sale of the 600 stickers that you got, would be:

= ( Number of stickers in total / Number of stockers per pack ) x Price per sticker pack

= 600 / 10 x 2

= 60 x 2

= $ 120

Your profit would be:

= Total revenue from stickers - total cost

= 120 - 26. 97

= $ 93. 03

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Answer:

7.3 years.

Step-by-step explanation:

A = P(1 + i)^n

9500 = 7500(1 + 0.033)^n     where n = number of years.

1.033^n = 9500/7500

n log 1.033 = log(9500/7500)

n =  log(9500/7500)/log 1.033

n = 7.28 = 7.3.

Answer:what

Step-by-step explanation:what does this mean

The correct statements about omitted variable bias are:

1. If the omitted variable and included variable are correlated, there is a bias.

2. If the omitted variable is relevant, there is a bias.

Omitted variable bias refers to the bias introduced in an econometric model when a relevant variable is left out of the analysis. The bias occurs when the omitted variable is correlated with both the dependent variable and the included variables in the model.

If the omitted variable and included variable are correlated, there is a bias because the included variable may capture some of the effects of the omitted variable. In this case, the estimated coefficient of the included variable will be biased, as it will include the influence of the omitted variable.

Similarly, if the omitted variable is relevant, there is a bias because it has a direct impact on the dependent variable. By excluding the relevant variable, the model fails to account for its influence, leading to biased estimates of the coefficients of the included variables.

Random assignment of included variables does not eliminate omitted variable bias. While random assignment may help control for confounding factors and reduce bias in certain experimental designs, it does not address the issue of omitting a relevant variable from the analysis. Omitted variable bias can still exist even with random assignment of included variables.

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Answer:

Line A

Step-by-step explanation:

1. The conditional probability of X being 1 given that Y = 2 is 1/2. 2. The probability of X being less than or equal to 2 given that Y = 2 is 1/2.

To find the conditional probability of X given Y = 2, we need to consider the possible outcomes when Y = 2 and determine the probability of X being a specific value.

Let's calculate the conditional probability:

1. Find the conditional probability of X given Y = 2:

When Y = 2, we have two possible outcomes: (1, 2) and (3, 2). Out of these two outcomes, only one has X ≤ 2, which is (1, 2).

Therefore, the conditional probability of X being less than or equal to 2 given that Y = 2 is:

P(X ≤ 2 | Y = 2) = P(X = 1 | Y = 2) = 1/2

2. Use this to compute P(X ≤ 2 | Y = 2):

We have already determined that P(X ≤ 2 | Y = 2) = P(X = 1 | Y = 2) = 1/2.

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Answer:

\(m=6\)

Step-by-step explanation:

Exponent properties:

We can use exponent property \(a^{b^c}=a^{(b\cdot c)}\) to solve this problem.

Rewrite \(8\) as \(2^3\), then apply exponent property \(a^{b^c}=a^{(b\cdot c)}\) to simplify:

\(2^{3^5}=2^{2m+3},\\2^{15}=2^{2m+3}\)

If \(a^b=a^c\), then \(b=c\), because of log property \(\log a^b=b\log a\). Using this log property, you can take the log of both sides and divide by \(\log a\) to get \(b=c\)

Therefore, we have:

\(15=2m+3\)

Subtract 3 from both sides:

\(12=2m\)

Divide both sides by 6:

\(m=\frac{12}{2}=\boxed{6}\)

Alternative:

Given \(8^5=2^{2m+3}\), to move the exponent down, we'll use log properties.

Start by simplifying:

\(\log 32,768=2^{2m+3}\)

Take the log of both sides, then use log property \(\log a^b=b\log a\) to move the exponent down:

\(\log(32,768)=\log 2^{2m+3},\\\log (32,768)=(2m+3)\log 2\)

Divide both sides by \(\log2\):

\(2m+3=\frac{\log (32,768)}{\log(2)}\)

Subtract 3 from both sides:

\(2m=\frac{\log (32,768)}{\log(2)}-3\)

Divide both sides by 2:

\(m=\frac{\log (32,768)}{2\log(2)}-\frac{3}{2}=\boxed{6}\)

Answer:

4. E=4x-15(vertically opposite)

F=E(corresponding angles)

E=4x-15

5.3x+6x+O=180(angles on a straight line)

9x+0=180

9x=180-0

9x/9=180/9

x=20

The length of the segment MN is 9.5 units

The endpoints of the line segment MN are given as

M = (-2, -2)

N = (7, -5)

The length of the segment MN is calculated as:

MN = √(x2 - x1)^2 + (y2 - y1)^2

Substitute the known values in the above equation

So, we have

MN = √(-2 - 7)^2 + (-2 + 5)^2

Evaluate the sum and the difference

So, we have

MN = √-9^2 + 3^2

Evaluate the exponents

So, we have

MN = √81 + 9

Evaluate the sum

So, we have

MN = √90

Evaluate the exponents

So, we have

MN = 9.5

Hence, the length of the segment MN is 9.5 units

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Answer:

XDdddDddDDDDDDDDDDDDDDDDDDD

Answer:

42 un^2

Step-by-step explanation:

You can split the hexagon into 2 triangles and a rectangle. For this, I will use the triangle that goes from (-5, 2) to (2, 2) to (-1, 4), the triangle that goes from (-5, -2) to (2, -2) to (-2, -4), and the rectangle that goes from (-5, 2) to (-5, -2) to (2, -2) to (2, 2). The top triangle is 7 units by 2 units, so using triangle formula, you get 7*2/2 = 7. The rectangle is 4 by 7, so you get 4*7=28, and the bottom triangle is 7 units by 2 units (identical to top triangle) so you get 7. 28+7+7=42 units^2

______________________________________________________

Five percent is considered a half of 10 percent. So, to find 5% of a number, all you need to do is divide 10 percent of the number by 2.

________________________________________________________

Hope this helps! If so, lmk! Thanks and good luck!

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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Answer:

4

Step-by-Step Explantion:

Base it always the big number not the little one on the top.

The average of a sum and the sum of the averages are not same.

The average of a sum is mean of sum of data. Total sum divided by total number of sum.

Whereas , The sum of the average is sum of mean of data. Total sum of averages of data.

These two terms are not same.

For example : Assume x₁ , x₂ , x₃ , . . . , xₙ be a data

S₁ , S₂ , . . . , Sₙ be sum of data

A₁ , A₂ , . . . , Aₙ be average of data

where n is total number of sum of data

The Average of sum will be = S₁ + S₂ + . . . + Sₙ / n

The sum of average will be = A₁ + A₂ + . . . + Aₙ

Hence, The average of sum and Sum of average are different.

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Answer:

1/2

Step-by-step explanation:

all of the other fraction simplify to 3/4, 1/2 does not

Answer:

\(t=4.6\times 10^{-4}\ s\)

Step-by-step explanation:

We have,

Initial velocity of arm club is 23 m/s

Acceleration is 100000 m/s²

It is required to find the time taken by it to take the arm-club to get to 23 m/s. It means v = -23 m/s. It is based on the equation of kinematics such that :

\(v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{-23-23}{100000}\\\\t=4.6\times 10^{-4}\ s\)

So, the time taken by it is \(4.6\times 10^{-4}\ s\).

Answer:

90°

Step-by-step explanation:

Since AB is the diameter of the circle with center O and C is any point on the circle.

So, ACB is a semicircular arc.

Angle inscribed in a semicircle is right angle.

\(\therefore \measuredangle C =90\degree \)

The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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Answer:

lesser x = -6

greater x  = 6

Step-by-step explanation:

-5x² + 180 = 0

5x² = 180

x² = 36

x = ±6

Answer:

x = - 6, x = 6

Step-by-step explanation:

Given

h(x) = - 5x² + 180

To find the zeros let h(x) = 0 , that is

- 5x² + 180 = 0 ( subtract 180 from both sides )

- 5x² = - 180 ( divide both sides by - 5 )

x² = 36 ( take the square root of both sides )

x = ± \(\sqrt{36}\) = ± 6 , then

lesser x = - 6

greater x = + 6

In the context of measurement, accuracy and precision refer to two related but distinct concepts. Accuracy is the degree to which a measurement is close to the true value of what is being measured, while precision is the degree to which repeated measurements of the same quantity are close to each other.

The uncertainty of a measurement refers to the degree of doubt or lack of confidence in the result obtained from a measuring instrument. It is typically represented by an interval around the measured value that indicates the range within which the true value is likely to lie.

The accuracy of a measuring device is related to its ability to provide measurements that are close to the true value. If a measuring device is highly accurate, then its measurements will be close to the true value, and the uncertainty associated with those measurements will be relatively small. On the other hand, if a measuring device is not very accurate, then its measurements may be far from the true value, and the uncertainty associated with those measurements will be relatively large.

The precision of a measuring device is related to its ability to provide measurements that are close to each other when measuring the same quantity repeatedly. A measuring device that is highly precise will give measurements that are very close to each other, and the uncertainty associated with those measurements will be relatively small. Conversely, a measuring device that is not very precise will give measurements that are far apart, and the uncertainty associated with those measurements will be relatively large.

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Answer:

8 is in thousands place.

The third digit to the right of decimal point is in the thousandths place. The fourth digit to the right of decimal point is in the ten thousandths place and so on.

Step-by-step explanation:

Hope it is helpful to....