the iqs of different professionals are independent events. what is the probability that two random professionals will be chosen and the first of their iqs is greater than 115 and the second is between 115 and 130

Answer:

See below ~

Step-by-step explanation:

1.

2.

Answer:

\(y\ =\ \left|\frac{1}{2}x-2.5\right|+3\)

Step-by-step explanation:

Look at the image below ↓

Answer:

Check below the graph.

Step-by-step explanation:

Hi, for this function, check the graph below:

1) Note that in this function the value outside the brackets points how high the graph will be traced.

2) The value within the brackets, points since it's a negative expression how far to the right the graph will be traced.

Answer:

\(7,500\)

Step-by-step explanation:

Let's solve this problem step-by-step. The library had 1,500 books in 2011. The ratio of books in 2011 and in 2012 is 1:2. Therefore, let the number of books in 2012 be \(x\).

We have the following proportion:

\(\frac{1}{1,500}=\frac{2}{x},\\x=2\cdot 1,500=3,000\)

Therefore, there were 3,000 books in 2012. The ratio of books in 2012 and in 2013 is 2:5. Let the number of books in 2013 be \(y\).

We have:

\(\frac{2}{3,000}=\frac{5}{y},\\2y=5\cdot 3,000,\\2y=15,000\\y=\boxed{7,500}\)

Therefore, there were 7,500 books in 2013.

Answer:

7,500 books

Step-by-step explanation:

The figures that can be precisely defined by using only undefined terms are: angle, line segment, and parallel lines. The correct answer is options (a), (d) and (e).

An angle is formed by two rays sharing a common endpoint, called the vertex. Rays are simply parts of lines, and lines are undefined terms in geometry. Thus, an angle can be defined using only undefined terms.
A line segment is a part of a line that has two distinct endpoints. Lines are undefined terms in geometry, so a line segment can be defined using only undefined terms.

Parallel lines are lines that are always equidistant and never intersect. The concept of lines is an undefined term in geometry, so parallel lines can be defined using only undefined terms.
In contrast, an arc and a circle rely on defined terms such as radius and circumference, so they cannot be precisely defined by using only undefined terms.

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Answer:

Following are the solution to this question:

Step-by-step explanation:

It provides three different hypotheses in such a two-factor ANOVA:  

In point A:

H o: With all factor A levels, the ways are equivalent  

Ha: A least another element A level does have a transfer to another

In point B:

Ha: The least one Factor A the level does have a transfer to another

H o: With all Factor B levels the results are about the same.

In point C:

Ha: At most one Variable B level does have a transfer than any other level.

H o: There are no interactions among the factors

Ha: The interactions of factors are important

When ANOVA is executed, they get three p-sets (one for all 3 hypotheses)

(a) If Variable A's p-value is much less alpha, we will reject the null and embrace Ha and infer that Factor A is important. Anything else, H o also isn't rejected and that there is no evidence which Factor A is important

(b) If p- is < alpha, otherwise we reject The null, accept Ha, and infer which Factor B is relevant. Factor B is significant. Conversely, we may not condemn H o but claim there isn't enough proof which Factor B is important

(c)

If they reject H o and agree to the point p- for the A x B interaction is a < alpha Ha, and conclude that the interaction from A to B is important. So, perhaps we can deny H o and claim, that neither proof of interactions is sufficient From A to B.

Answer:

75%

Step-by-step explanation:

9/12 =

9 ÷ 12 =

0.75

Which is 0.75= .75

so 75/100= 75%

ZaZa Out-

The relative velocity of one plane with respect to the other plane is given

by the sum of the velocity of the two planes.

Reasons:

The distance between the two airports = 2,400 km

Speed of the plane from NAIA = 800 kilometer per hour

Speed of the plane coming from SIN = 640 kilometers per hour

Let t represent the time after which the two planes meet, we have;

800 × t + 640 × t = 2,400

\(\displaystyle t = \frac{2,400 \ km}{800 \ km/hr + 640 \ km/hr} = \frac{5}{3} \ km/hr = 1.\overline 6 \ km/hr\)

The time after which the two planes meet, t = \(\underline{1. \overline 6 \ km/hr}\)

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To find the number of music players supplied at a price of 150, we substitute x = 150 into the supply function q = 60e^(0.0054x) and round the result to the nearest thousand. The marginal supply is found by taking the derivative of the supply function with respect to x. The best interpretation of the derivative is the rate of change of the quantity supplied as the price increases.

1. To find the number of music players supplied at a price of 150, we substitute x = 150 into the supply function q = 60e^(0.0054x):

  q(150) = 60e^(0.0054 * 150) ≈ 60e^0.81 ≈ 60 * 2.246 ≈ 134.76 ≈ 135 (rounded to the nearest thousand).

2. The marginal supply is found by taking the derivative of the supply function with respect to x:

  Marginal supply(x) = d/dx(60e^(0.0054x)) = 0.0054 * 60e^(0.0054x) = 0.324e^(0.0054x).

3. The best interpretation of the derivative (marginal supply) is the rate of change of the quantity supplied as the price increases. In other words, it represents how many additional units of the music player will be supplied for each unit increase in price.

Therefore, at a price of 150 dollars, approximately 135 thousand units of music players will be supplied. The marginal supply function is given by 0.324e^(0.0054x), and its interpretation is the rate of change of the quantity supplied as the price increases.

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Answer:

The probability of boy in seventh child is 1/2, because the possibility of male child is always 50%.

Step-by-step explanation:

Based on the given information that the demand curve for hummus has a constant slope of -2, we can say that the price elasticity of demand for hummus is relatively elastic. This means that a small change in price will result in a relatively larger change in the quantity demanded of hummus.

In other words, consumers are sensitive to changes in the price of hummus and are likely to reduce their consumption if the price increases, and vice versa.

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The price elasticity of demand for hummus cannot be determined solely from the information provided, as it depends on both the slope and the price-quantity relationship.

The price elasticity of demand (Ed) is a measure of how responsive the quantity demanded of a good is to a change in its price. It is calculated using the formula:

Ed = (% change in quantity demanded) / (% change in price)

Since the demand curve for hummus has a constant slope of -2, this tells us that for every unit increase in price, the quantity demanded decreases by 2 units. However, to calculate the price elasticity of demand, we also need information about the price and quantity levels.

The slope of the demand curve alone does not provide enough information to determine the price elasticity of demand. The elasticity varies along the curve, being more elastic at high prices and low quantities, and less elastic at low prices and high quantities.

While the slope of the demand curve for hummus is -2, this information alone is not sufficient to determine the price elasticity of demand. Additional information about the price and quantity levels is needed to calculate the elasticity accurately.

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Answer:

i think the function of g i can sort of tell that it is a right angle sort of. whoch a right angle is 90 *? and the value of b might be an obtuse angle which i think is equal to 180*? but im not for certain... im sorry i thought this would be easier than i thought but i tryed, i havent learned that yet but were  learning degrees. maybe the function of g is up 6 over 5? and b would be up 5 over 6? sorry if thats confusing i tryed to understand it. after i saw the picture a second time i saw a graph so thats why i said up 5 over 6 or up 6 over 5

sorry thought, i thought it might be easier than i thought but i understand what you mean now. its confusing a bit...

i hope you get someone to give you a much better anwser than i did, and have a great day!

Answer:

\((x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}\)

Step-by-step explanation:

Given

\((x^\frac{3}{8})^\frac{3}{4}\)

Required

Convert to radical form

\((x^\frac{3}{8})^\frac{3}{4}\)

Evaluate the exponents

\((x^\frac{3}{8})^\frac{3}{4} = x^\frac{3*3}{8*4}\)

\((x^\frac{3}{8})^\frac{3}{4} = x^\frac{9}{32}\)

Split the exponent

\((x^\frac{3}{8})^\frac{3}{4} = (x^9)^\frac{1}{32}\)

Apply the following law of indices

\((x^a)^\frac{1}{b} = \sqrt[b]{x^a}\)

So, we have:

\((x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}\)

The probability of the new engine design being approved given that it is low-energy is 0.2, or 20%.

To find the probability of the new engine design being approved, we need to use the concept of conditional probability.

We can use Bayes' Theorem to calculate this conditional probability:

P(A|H) = P(H|A) x P(A) / P(H)

where P(A|H) is the probability of the engine being approved given that it is high-energy, P(H|A) is the probability of the engine being high-energy given that it is approved, P(A) is the overall probability of the engine being approved (irrespective of energy consumption), and P(H) is the overall probability of the engine being high-energy.

Using the values given in the problem, we can substitute in these probabilities:

P(H|A) = 0.1 (given)

P(A) = P(H)P(A|H) + P(L)P(A|L) = 0.50.1 + 0.50.2 = 0.15

P(H) = 0.5 (given)

Therefore, we can calculate:

P(A|H) = 0.1 x 0.5 / 0.15 = 1/3 = 0.333

This means that the probability of the new engine design being approved given that it is high-energy is 0.333, or approximately one-third. Similarly, we can find the probability of the engine being approved given that it is low-energy:

P(A|L) = P(L|A) x P(A) / P(L)

P(L|A) = 1 - P(H|A) = 0.9 (given)

P(L) = 0.5 (given)

P(A|L) = 0.2 * 0.5 / 0.5 = 0.2

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This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.

Given,

Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .

Now,

68% percentile : 68% scores equal or less .

27% percentile : 27^ scored equal or less .

Thus option D

This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .

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Answer: slope =1/2  y intercept (0,6)

Step-by-step explanation: use the slope and y intercept form y=mx + b

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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The model with the higher PRE value is the one that has a greater proportional reduction in error, indicating that it explains more of the variance in the dependent variable and is therefore a better fit for the data.

To compare the pre (proportional reduction in error) for the two models, we need to calculate the pre value for each model and then compare them. The pre value measures the reduction in error achieved by using a model compared to using no model.

In the two-group model, pre can be calculated as the difference between the error rate of using no model and the error rate of using the two-group model, divided by the error rate of using no model. In the regression model, pre can be calculated as the difference between the error rate of using no model and the error rate of using the regression model, divided by the error rate of using no model.

Assuming that the two models are equally well-fitted to the data, the model with the higher pre value is the one that achieves a greater reduction in error. So, we need to compare the pre values for the two models.

If the two-group model achieves a higher pre value than the regression model, then it has a higher pre. Conversely, if the regression model achieves a higher pre value than the two-group model, then it has a higher pre. Without further information or analysis, it is not possible to say which model has a higher pre.

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Answer:

Check explanation

Step-by-step explanation:

Monday = 3 1/4 hours

Tuesday = 1 3/4 hours

Wednesday = 2 2/3 hours

Thursday = x hours

Friday = 5 1/2 hours

Total hours worked = 16 1/2 hours

Total hours worked = Monday + Tuesday + Wednesday + Thursday + Friday

16 1/2 = 3 1/4 + 1 3/4 + 2 2/3 + x + 5 1/2

33/2 = 13/4 + 7/4 + 8/3 + x + 11/2

33/2 = 39+21+32+66/12 + x

33/2 = 158/12 + x

33/2 - 158/12 = x

x = 198-158/12

x = 40/12

= 3 4/12

x = 3 1/3 hours

Earnings per hour = $7.50

Total earnings = Earnings per hour * Total hours worked

= 7.50 * 16 1/2

= 7.50 * 33/2

= 7.50 * 16.5

= $123.75

Amount needed to purchase a game player = $146.25

Amount needed more =$146.25 - $123.75

= $22.5

More hours needed to work = Amount needed more / Earnings per hour

= $22.5 / $7.50

= 3 hours

Therefore,

Alice needs to work 3 hours more

Answer:

Basically what I see is that the first one add 2. they are basically multiplying the original by 2

Answer:

pro video is my work and my

Step-by-step explanation:

vision is pro

Answer:

Mean: 1.962963

Median: 2

Mode: 1.666666667, 2

Step-by-step explanation:

Gerry's beginning basis in the S corporation is $20,545.

To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.

The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.

The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.

To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.

In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.

Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.

This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.

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Answer:

4(9a-4)

Step-by-step explanation:

36a - 16

We can factor 4 from each expression.

4*9a - 4*4

4(9a-4)

We need to calculate the surface area

We have 6 faces and three different rectangles

The red rectangles are equals

The green rectangles are equals

The blue rectangles are equals

The formula for the area of a rectangle is

where

l is the length

w is the width

The area for one red rectangle

l=10

w=5

The area for one green rectangle is

l=10

w=7

The area for one blue rectangle

l=7

w=5

The total area is

Then we need to transform the square inches to square feet

1 square ft = 144 square inches

x square ft = 310 square inches

Mrs Harris will need 2.15 square ft to wrap the prism

The width of the rectangular storage shed is 8 ft and the length of the rectangular storage shed is 14 ft.

Let us represent the width of the rectangular storage shed by the variable x.

The length of the rectangular storage shed is 6 ft greater than the width, we can represent it by x + 6.

The perimeter of a rectangle is the sum of the lengths of its four sides, hence it can be represented as:

2(length + width)

= 44ft2(x + 6 + x)

= 44ft

Simplify by combining like terms.

2(2x + 6)

= 442x + 6

= 22

Solve for x by isolating it on one side of the equation

2x

= 16x

= 8

The width of the rectangular storage shed is 8ft.

Then the length of the rectangular storage shed

= x + 6

= 8 + 6

= 14 ft.

Therefore, the width of the rectangular storage shed is 8 ft.Length of the rectangular storage shed is 14 ft.

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The 3 different options for horizontal asymptotes are:

This refers to a horizontal line y = b where the graph approaches the line as the inputs approach infinity (∞) or negative infinity (–∞).

The 3 different options for horizontal asymptotes

Note: If n=m+1, there is an oblique or slant asymptote.

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Based on the given sample data, it can be concluded that the average experience of the 250 applicants is statistically significantly greater than 2.5 years.

What is sample data ?

Sample data refers to a subset of observations or measurements collected from a larger population.

To determine whether it can be concluded that the mean of the 250 applicants is greater than 2.5 years, we can perform a hypothesis test.

Let's define the null hypothesis (H0) and the alternative hypothesis (H1) as follows:

\(H_0\): The mean experience of the 250 applicants is less than or equal to 2.5 years.

\(H_1\): The mean experience of the 250 applicants is greater than 2.5 years.

We will conduct a one-sample t-test since we have a sample mean, population standard deviation, and want to compare it to a specified value (2.5 years).

t ≈ 3.46

To determine whether the test statistic is statistically significant, we compare it to the critical value from the t-distribution table at the specified significance level.

At a significance level of 0.05 (α = 0.05) and with degrees of freedom (df) = n - 1 = 25 - 1 = 24, the critical value for a one-tailed test is approximately 1.711.

Since our test statistic (3.46) is greater than the critical value (1.711), we reject the null hypothesis (\(H_0\)) in favor of the alternative hypothesis (\(H_1\)). This means we have sufficient evidence to conclude that the mean of the 250 applicants is greater than 2.5 years at a significance level of 0.05.

In other words, based on the given sample data, it can be concluded that the average experience of the 250 applicants is statistically significantly greater than 2.5 years.

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Answer: It would be 6/35

Answer: 161+72(5)^1/2 + 1/(161+72(5)^1/2)

Step-by-step explanation:

a=9+4(5)^1/2

a^2=

(9+4(5)^1/2)^2=

(9+4(5)^1/2)(9+4(5)^1/2)=

81+9*4(5)^1/2+9*4(5)^1/2+4(5)^1/2 * 4(5)^1/2=

81+36(5)^1/2+36(5)^1/2+16*5=

81+72(5)^1/2+80=161+72(5)^1/2

b^2=

1/a^2=1/(161+72(5)^1/2)

a^2+b^2=161+72(5)^1/2 + 1/(161+72(5)^1/2)

Answer:

its the lastone

Step-by-step explanation: