Find the area under the standard normal distribution curve between z=0 and z=0.25. Use The Standard Normal Distribution Table and enter the answer to 4 decimal places.
The area between the two z values is ______

Answer: Angle in Radians × 180°/π = Angle in Degrees

Answer: 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

You can change the 3/4 to 6/8 and 2/8 + 6/8 = 8/8.

You could also change 2/8 to 1/4 and 3/4 + 1/4 = 4/4.

8/8 and 4/4 both equal 1.

Hope you get a good grade :)

Answer:

idek

Step-by-step explanation:

Answer:

Step-by-step explanation:

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).

When should you use point-slope form?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

The slope and y-intercept of the matching line can be rapidly determined when we have a linear equation in slope-intercept form. This enables us to graph it as well.

The equation of a line can be represented in either slope-intercept form or point-slope form.

Slope-intercept form:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line passing through the points (3,5) and (6,11) in slope-intercept form, we can use the point-slope formula to find the slope and then use one of the points to find the y-intercept.

Point-slope form:

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

To find the equation of the line passing through the points (3,5) and (6,11) in point-slope form, we can use the point-slope formula and one of the points.

Using the point-slope formula, the slope of the line is (11 - 5) / (6 - 3) = 6/3 = 2.

So, the equation of the line in slope-intercept form is:

y = 2x + b

We can use the point (3,5) to find the y-intercept:

5 = 2 * 3 + b

Solving for b, we get b = -1.

So the equation of the line in slope-intercept form is:

y = 2x - 1

In point-slope form, using the point (3,5), the equation of the line is:

y - 5 = 2(x - 3)

Both forms represent the same line, just in different ways.

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Answer:

3 > x

Step-by-step explanation:

-10 + 8x < 6x - 4

Subtract 8x from each side

-10 +  < -2x - 4

Add 4 to each side

-6 < -2x

Divide each side by -2 remembering to flip the inequality

-6/-2 > -2x/-2

3 > x

Answer: 5

Step-by-step explanation: with these problems you're supposed to add all the numbers and then you divide it by the number you're asking to find the probability of so 10/2=5

The probability that the dial stops on a red slice, when it is spun and stops on a slice at random is 1/5.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A spinner with 10 equally sized slices has 2 red slices, 4 yellow slices, and 4 blue slices.

The total number of slices is 10 and the total number of favorable outcome to get a red slice is 2. Thus, the probability that the dial stops on a red slice is,

\(P=\dfrac{2}{10}\\P=\dfrac{1}{5}\)

Thus, the probability that the dial stops on a red slice, when it is spun and stops on a slice at random is 1/5.

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Answer:

Y =mx/10+c/80

Point(8x, 80y) lies on Y =mx +c

Answer:

It would be 16 men.

Step-by-step explanation:

Let the number of men dig a pond in 6 day be x. Then,

It is a case of inverse variation.

12 × 8 = 6x

=> 96 = 6x

=> x = 96/6

=> x = 16

Hence, 16 men can dig a pond in 6 days.

Answer:

Answer is 16…..

12 men take 8 days for digging a pond, so we use simple method to solve this problem.

We multiple the both things that is 12 and 8 then get 96 is the result which is equal to multiple of 6 days and ?Men then get 16 men

Step-by-step explanation:

I literally put it on the comments lol

√21 is the measure of the height of the cone.

According to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.

From the given cone;

Hypotenuse = 5cm

Adjacent = 4/2. = 2cm

Determine the height

h^2 = 5^2 - 2^2

h^2 = 25 - 4

h^2 = 21

Take the square root of both sides

h = √21

Hence the measure of the height of the cone is √21

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If f(x, y, z) = xyzi + yj + zk, the divergence of the curl of the vector field f is zero.

To find the divergence of the curl of the vector field f(x,y,z) = xyzi + yj + zk, we first need to compute the curl of f, which is given by:

curl f = (∇ × f) = ∂(zk)/∂y - ∂(yj)/∂z + (∂(yj)/∂x - ∂(xyzi)/∂y)k + (∂(xyzi)/∂z - ∂(zk)/∂x)j + (∂(zk)/∂x - ∂(yj)/∂y) i

Simplifying this expression, we get:

curl f = (-z)i + xj + yk

Next, we need to find the divergence of the curl of f, which is given by:

div(curl f) = ∇ · (∇ × f) = ∂(∂(zk)/∂y - ∂(yj)/∂z)/∂x + ∂(∂(yj)/∂x - ∂(xyzi)/∂y)/∂y + ∂(∂(xyzi)/∂z - ∂(zk)/∂x)/∂z

Substituting the values from the curl f expression, we get:

div(curl f) = ∂(-z)/∂x + ∂(x)/∂y + ∂(y)/∂z

Simplifying this expression, we get:

div(curl f) = 0

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Justin's error was that he should have multiplied 12.5 and 3.8 first.

To evaluate the expression 12.5 * 3.8 * x, we need to follow the order of operations, which states that multiplication should be performed before addition. In this case, x is given as 7.9.

The correct order of operations is as follows:

Multiply 12.5 and 3.8: 12.5 * 3.8 = 47.5.

Multiply the result from step 1 by 7.9: 47.5 * 7.9 = 374.25.

Justin's error was that he incorrectly evaluated the expression by adding 12.5 and 3.8 first. This would result in the incorrect answer of 16.3. However, the correct approach is to multiply 12.5 and 3.8 first, and then multiply the result by 7.9 to obtain the correct answer of 374.25.

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The relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean is (b) The 95% C.I. is more precise in estimating a mean than the 90% C.I.

You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% probability of being incorrect with a 90% confidence interval.

The upper and lower numbers of a range with a 95% confidence interval (CI) of the mean are determined from a sample. This range describes potential possibilities for the mean because the actual population mean is unknown. Hence, the 95% C.I. is more precise in estimating a mean than the 90% C.I.

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Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

Mrs. Mathewson can serve 4 servings of orange juice to her guests.

What is the quart?

A quart is just one unit of volume in the US customary and imperial systems of measurement that is defined relative to the gallon.

If there is 1 quart of orange juice and Mrs. Mathewson would like to serve her guests 1/4 of a quart of orange juice, then we can find the number of servings by dividing the total amount of orange juice by the serving size.

The number of servings can be found by the following calculation:

1 quart / (1/4) quart/serving = 4 servings

Hence, Mrs. Mathewson can serve 4 servings of orange juice to her guests.

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Answer:

5 and 7

Step-by-step explanation:

The sum is even aka 12, however, both of the integers are not even.

Based on the given information, the regression that represents the estimated production function model for firm output in the industry is:

c. log(Q1) = 10.74 + 0.032 Li

The regression equation in option c represents a logarithmic relationship between the output (Q1) and the number of workers employed (Li). Taking the logarithm of the output variable allows for a more flexible functional form and captures potential diminishing returns to labor.

In the regression equation, the constant term (10.74) represents the intercept or the level of output when the number of workers is zero. The coefficient of 0.032 (0.032 Li) indicates the relationship between the logarithm of output and the number of workers employed.

Since the question states that employing another worker leads to a 32 percent increase in output, this aligns with the coefficient of 0.032 in the regression equation. It suggests that a 1 percent increase in the number of workers (Li) leads to a 0.032 percent increase in output, which is equivalent to a 32 percent increase.

Therefore, the regression equation in option c best represents the estimated production function model in this scenario.

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Answer:

Step-by-step explanation:

(4-3)/(2-1= 1/1 = slope = 1

y =(1)x + b,  plug in either point to solve for b

3 = 1 +b

b = 2

Answer:

x = 9

y = 5

Step-by-step explanation:

<N and < M are opposite equal sides. So they are equal as well. In addition, the base is equal to the other 2 sides. That means you are dealing with an equilateral triangle. All the angles are equal to 60 degrees.

7x - 3 = 60 degrees     Add 3 to both sides

      3      3

7x = 63                         Divide by 7

x = 63/7

x = 9

Just for the sake of completeness, we'll find y

11y + 5 = 60                 Subtract 5 from both sides

     -5      -5

11y = 55                       Divide by 11

y = 55 /11

y = 5

Si alquilas el auto por un día y recorres 50 kilómetros, el precio del alquiler es de $400

Si rentas un auto por un día y recorres 50 kilómetros, el precio de renta será

$300 por día + $2 por kilómetro recorrido * 50 kilómetros

= $300 + $100 = $400.

La función que relaciona el precio de renta con los kilómetros recorridos se puede expresar como

P = 300 + 2K,

donde P es el precio de renta en dólares y K es la cantidad de kilómetros recorridos.

Si rentas un auto por un día y deseas que el precio de renta sea de $500, podemos utilizar la función determinada en el punto 2 para calcular la cantidad de kilómetros que puedes recorrer.

Reemplazando P = 500 en la función, tenemos

500 = 300 + 2K, entonces 200 = 2K, entonces K = 100.

Por lo tanto, puedes recorrer 100 kilómetros si deseas que el precio de renta sea de $500.

La función determinada en el punto 2 es lineal, ya que relaciona una variable dependiente (el precio de renta) con una variable independiente (los kilómetros recorridos) de manera lineal. Por lo tanto, la respuesta es is Lineal.

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True. We expect most of the data in a data set to fall within 2 standard deviations of the mean of the data set.

In a normal distribution, which is a common assumption for many data sets, it is expected that approximately 68% of the data falls within 1 standard deviation of the mean, and approximately 95% falls within 2 standard deviations of the mean. This is known as the empirical rule or the 68-95-99.7 rule.

The empirical rule is based on the properties of a normal distribution, which is symmetric and bell-shaped. It states that the majority of the data is concentrated around the mean, with the spread of the data increasing as we move further away from the mean. Within 2 standard deviations of the mean, we capture a large portion of the data, approximately 95%. This means that most of the data points are expected to fall within this range.

However, it's important to note that this statement assumes a normal distribution and may not hold true for all data sets. In cases where the data does not follow a normal distribution or has outliers, the proportion of data falling within 2 standard deviations may differ.

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When both groups are shifted to a situation in which they earn an alternative reward after being trained to navigate a runway for food, the group that received three food pellets will continue to perform the task at a high level while the group that received one food pellet will experience difficulty.

It is known that rats have a natural preference for higher rewards. As a result, the group that received three pellets will be more motivated to complete the task since they have already tasted a higher reward. Therefore, they will continue to perform at a high level in the new environment.

On the other hand, the group that received only one pellet may find it challenging to adapt to the new situation since they are now receiving a lower reward. As a result, they may struggle to complete the task, and their performance may decrease.

In conclusion, the group that received three pellets will perform better than the group that received one pellet when both groups are shifted to a situation in which they earn an alternative reward. This is because the rats have a natural preference for higher rewards.

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The shape of the sample as the sample size increases is  the sample becomes more and more like the population distribution

A given set a data is considered to be normally distributed if it appears to take on a bell-shaped, symmetrical curve. Both skew (i.e. a lack of symmetry) and kurtosis (i.e. a more dramatically flattened or peaked curve) can be present in a distribution. If skew or kurtosis is present in a set of data, it cannot be said to be normally distributed.

A positively skewed (or right-skewed) distribution is a type of distribution in which most values are clustered around the left tail of the distribution while the right tail of the distribution is longer. The positively skewed distribution is the direct opposite of the negatively skewed distribution.

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Answer: 1.2 tons

Step-by-step explanation:

Answer:  1,777

Step-by-step explanation:

Water will reach a depth of 12 meters after 3.1 hours approximately.

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Main body:

Function representing the level of water by 'y' and number of hours by 'x' is,

y = 2.5 cos (2πx/12.5)+12

For y = 12 meters, (Substitute the value of y)

12 = 2.5 cos (2πx/12.5)+12

12 -12 = 2.5 cos (2πx/12.5)

cos (2πx/12.5) = 0

2πx/12.5 = π/2

πx/12.5 = π/4

x = 3.125

x ≈3.1 hours

Therefore, water will reach a depth of 12 meters after 3.1 hours approximately.

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Assuming that the average recurrence interval of the fault is 150 years, with the last earthquake occurring in 1857, the next slip event would occur in 2007.

The average recurrence interval describes the average occurence of an event of interest in the past.

The average recurrence interval can be computed as the quotient resulting from the division of the number of years in the record (N) by the the number of events (n).

For instance, if an event has occurred 5 times within 100 years, we can compute the average recurrence interval as 20 years (100 ÷ 5).

The number of years the fault has occurred = 1,500 years

The number of times the fault has occurred = 10

Average recurrence interval = 150 (1,500 ÷ 10).

Last occurrence of earthquake = 1857

Average recurrence interval = 150

Next predicted earthquake year = 2007 (1857 + 150)

Thus, we should expect the earthquake to occur in 2007, given the fault's average recurrence interval.

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For the past 1,500 years, the fault has occurred 10 times.

Answer:

$49.59

Step-by-step explanation:

$20.75+$10.59+$18.25=$49.59

Answer:

3log152

Step-by-step explanation:

using the rule of logarithms

log\(x^{n}\) = nlogx

then

log152³

= 3log152