Using the formula. Compute the elasticity of supply.
1. P1 = 5,000
P2 = 4,000
Qs1 = 1,000
Qs2 = 1,500

1. Qs -
2.Price -
3. Elasticity of supply -
4. Type of elasticity -
​

Answer:

x=-8

Step-by-step explanation:

x+15+x+16=15

=) 2x+31=15

=)2x=15-31

=)2x=-16

=)\(\frac{2x}{2} =\frac{-16}{2} \) (The 2(s) in \(\frac{2x}{2}\) cancel out, leaving x= \(\frac{-16}{2}\), or x=-8

Hope this helps!

The probability of a wheelchair not needing to be serviced for the 16 weeks of the semester is 0.230.

The exponential distribution is a continuous probability distribution that describes the time between two consecutive events that occur randomly and independently of each other. This distribution is useful in the fields of reliability, physics, and finance, among others.

The exponential distribution has a single parameter known as the scale parameter, which is denoted by lambda (λ) and is typically expressed in terms of the mean time between failures.The mean, median, and standard deviation are three of the most common summary statistics used to describe a probability distribution.

The probability of a wheelchair not needing to be serviced for the 16 weeks of the semester can also be calculated using the exponential distribution.

Mean: The mean of the exponential distribution is equal to 1/λ.λ = 1/7 = 0.143

Therefore, the mean is 1/λ = 1/0.143 = 6.993.

Median: The median of the exponential distribution is equal to ln(2)/λ.λ = 1/7 = 0.143

Therefore, the median is ln(2)/λ = ln(2)/0.143 = 4.837.

Standard deviation: The standard deviation of the exponential distribution is equal to 1/λ.λ = 1/7 = 0.143

Therefore, the standard deviation is 1/λ = 1/0.143 = 6.993.

Probability: P(X > 16) = e^(-λx)λ = 1/7 = 0.143X = 16P(X > 16) = e^(-0.143 * 16) = 0.230

Therefore, the probability of a wheelchair not needing to be serviced for the 16 weeks of the semester is 0.230.

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Answer:

A: 4:3:5

Step-by-step explanation:

Al ate 1/3 of the pizza. 1/3 can also be written as 4/12. Barb ate 1/4 of the pizza. 1/4 can also be written as 3/12. 4/12 plus 3/12 is equal to 7/12. One whole would be 12/12, so to get the remaining amount of pizza, do 12/12-7/12, to give you 5/12. 4:3:5. We needed to make all of the fractions have a common denominator in order to solve this particular problem.

Answer:

Answer attached

Step-by-step explanation:

Use Venn diagram, please carefully check the accuracy. I wish it help.

1. athletes did not own any of the three items =51

2. owned a convertible and a TV, but not a store =41

3. athletes owned a convertible or a TV =49

4. athletes owned exactly one type of item in the survey = 90

5.  athletes owned at least one type of item in the survey =178

6. owned a TV or a store, but not a convertible = 26

A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.

given:

owned a convertible = 99

owned a giant screen TV = 84

owned a sporting goods store = 98

owned a convertible and a store = 16

owned a TV and a store = 26

owned a convertible and a TV= 41

owned all three items. = 5

1. athletes did not own any of the three items

=229 - 99 - 84 - 98 - 16 - 26 - 41 -5

=51

2. owned a convertible and a TV, but not a store

=98-36-5-16

=41

3. athletes owned a convertible or a TV

=37 + 12

=49

4. athletes owned exactly one type of item in the survey

=41 + 12+ 37

= 90

5.  athletes owned at least one type of item in the survey

=178

6. owned a TV or a store, but not a convertible

= 26

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Answer:

f(g(-2)) = 12

Answer: C.

Step-by-step explanation:

f(x) = - 1/2x² + 5x

g(x) = x² + 2

f(g(-2)) =

First, we evaluate g(-2).

g(x)= x² + 2

g(-2)= (-2)² + 2 = 4 + 2 = 6

Now we evaluate f(6).

f(x) = - 1/2x² + 5x

f(6) = - 1/2(6)² + 5(6) = - 1/2(36) + 30 = -18 + 30 = 12

Answer: f(g(-2)) = 12

Answer:

what two patterns?

Step-by-step explanation:

I would help u but I don't see the two patterns. I'm sorry. =(

Answer:

\(39.8^{\circ} C\)

Step-by-step explanation:

We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation

\(t(h)=10cos(15h-10)^{\circ}+30\)

Where h=Hour of the day with 0 meaning midnight

t=Temperature in degree Celsius

We have to find the temperature on October 1.

Substitute h=0

\(t(0)=10cos(15(0)-10)+30\)

\(t(0)=10cos(-10)+30\)

\(t(0)=39.8^{\circ} C\)

Hence, the temperature in Elma on October 1=\(39.8^{\circ} C\)

The time when the concentration of the chemical in the tank is 0.8 lb/gal is 36.31 minutes.

Let C be the concentration of the chemical in the tank and V be the volume of the tank.

Initially, V = 100 gal and C = 40 lb/100 gal = 0.4 lb/gal.

Let t be the time in minutes.

The rate of change of C is given by:

dC/dt = (5*3.5 lb/gal - 7*C)/V

Solving the differential equation, we get:

C = 0.4 + 0.6e^(-7t/100)

Setting C = 0.8 lb/gal, we get:

0.8 = 0.4 + 0.6e^(-7t/100)

=> 0.6e^(-7t/100) = 0.4

=> e^(-7t/100) = 0.67

=> -7t/100 = ln 0.67

=> t = 100*ln0.67/-7

=> t = 36.31 minutes

Therefore, the time when the concentration of the chemical in the tank is 0.8 lb/gal is 36.31 minutes.

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Answer:

The equation in slope-intercept form perpendicular to the given equation \(y = -3x + 4\) through the given point (6,-2) is \(\mathbf{y=\frac{1}{3}x}\)

Step-by-step explanation:

We need to write an equation in slope-intercept form perpendicular to the given equation through the given point

y = -3x + 4

(6,-2)

The general equation in slope intercept form is: \(y=mx+b\) where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding slope:

The given line is perpendicular to required line, so there slopes are opposite

The slope of given line \(y = -3x + 4\) is m = -3, (By comparing it with general equation y=mx+b, we get m = -3)

The slope of required line is: \(m = \frac{1}{3}\)

Finding y-intercept:

y-intercept can be found by using slope \(m = \frac{1}{3}\) and the point(6,-2)

\(y=mx+b\\-2=\frac{1}{3}(-6)+b\\-2=-2+b\\b=-2+2\\b=0\)

So, we get y-intercept b =0

Equation of required line:

So, the equation of required line having slope \(m = \frac{1}{3}\) and y-intercept b =0 is:

\(y=mx+b\\y=\frac{1}{3}x+0\\y=\frac{1}{3}x\)

So, the equation in slope-intercept form perpendicular to the given equation \(y = -3x + 4\) through the given point (6,-2) is \(\mathbf{y=\frac{1}{3}x}\)

Answer:

The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1

Proved: This product shows that the slopes are negative reciprocals

Question:

The complete question as seen on brainly ( question ID = 13270010):

Determine the missing information in the paragraph proof.

Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).

Prove: The slopes of perpendicular lines are negative reciprocals.

The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction

The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.

Step-by-step explanation:

Line PQ contains the points (a, b) and (c, d)

Line P’Q’ contains the points (–b, a) and (–d, c)

The two lines are said to be perpendicular.

For two lines are said to be perpendicular, the product of the slope of the two lines must be equal to -1.

Let's determine if it's true for this two lines.

Find attached the the diagram and explanations.

The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1

This product shows that the slopes are negative reciprocals

Answer:5

Step-by-step explanation:

Answer:

y=1/2x+2

Step-by-step explanation:

slope form is y=mx+b

m-slope

b- y intercept (when x is 0)

To find slope we use y2-y1/x2-x1

4-3/4-2

1/2 is the slope

Now we know every time X goes up 1 y goes up 1/2 so we subtract back to find y intercept

(1,2.5)

(0,2)

Y intercept is 2

Hopes this helps please mark brainliest

Answer:

B. adding 4

Step-by-step explanation:

\(-48+4=-44 \\ \\ -44+4=-40 \\ \\ -40+4=-36 \\ \\ -36+4=-32\)

The marginal utility functions for the given utility function are \(U_{1} = 1 + Aaq_{1} ^{(a-1)}q_{2}^{b}\) and \(U_{2} = Abq_{1} ^{a} q_{2}^{(b-1)}+ 1\). The MRS is equal to the ratio of the marginal utilities, or MRS = U₁/U₂ = \(1 + Aaq_{1} ^{(a-1)}q_{2}^{b}\)/ \((Abq_{1}^aq_{2}^{(b-1)} + 1)\).

a) The marginal utility functions can be obtained by taking the partial derivatives of the utility function with respect to each good. For the given utility function U(q₁, q₂) = \(q_{1} + Aq_{1}^{(a)}q_{2}^{(b)} + q_{2}\) the marginal utility of good 1 (U₁) is equal to\(1 + Aaq_{1}^{(a-1)}q_{2}^{(b)}\), and the marginal utility of good 2 (U₂) is equal to \(Abq_{1}^{(a)}q_{2}^{(b-1)} + 1\).

b) The marginal rate of substitution (MRS) represents the rate at which a consumer is willing to exchange one good for another while maintaining the same level of utility. It is defined as the ratio of the marginal utilities of the two goods. In this case, the MRS can be calculated as MRS = U₁/U₂, which gives \(\frac{(1 + Aaq_{1}^{(a-1)}q_{2}^{(b)})}{(Abq_{1}^{(a)}q_{2}^{(b-1)} + 1)}\).

The explanation above summarizes the process of obtaining the marginal utility functions and the MRS for the given utility function. The utility function is differentiated with respect to each good to find the marginal utilities. The MRS is then calculated as the ratio of the marginal utilities. The specific expressions for the marginal utilities and the MRS are provided based on the given utility function.

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Answer:

Step-by-step explaiton

i hope this helps

Analysis of variance is used to test for equality of several population means.

ANOVA could also be utilized to predict the dependent variable of even more with around 2 categories and seems to be compared to the general population extra influential throughout this circumstance.

Throughout addition, ANOVA variants typically include covariates that encourage somebody to manipulate numerically for confounding factors as well as to recognize interactions wherein the factor progressives the implications of some other factor.

ANOVA (Analysis of Variance) was developed by Ronald Fisher.

ANOVA means the Analysis of Variance, is collection of statistical models & linked estimation processes, like variation among & between groups. It is used in analyzing differences among various means.

Therefore, Analysis of variance is used to test for equality of several population means.

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Answer:

I won't solve i'll translate like you asked

Step-by-step explanation:

13) x - 5 = 21

14) 12 × y = 48

15) b + 10 = 13

If you want I can solve.

HOPE THIS HELPED

Answer:

B. -5

Step-by-step explanation:

3x-1 > 4x-6

   +1

3x>4x-5

     -4x

-x>-5

/-1   /-1

x>-5

In other words, there are 24 different ways to get a full house of kings and fives when dealing 5 cards from a standard 52-card deck.

To calculate the number of hands with a full house of kings and fives, you need to consider the number of ways to choose 3 kings and 2 fives from a standard 52-card deck. There are 4 kings and 4 fives in the deck.

To choose 3 kings, use the combination formula: C(4,3) = 4! / (3!(4-3)!) = 4.
To choose 2 fives, use the combination formula: C(4,2) = 4! / (2!(4-2)!) = 6.

Now, multiply these results together to find the total number of hands with a full house of kings and fives: 4 * 6 = 24.

So, there are 24 possible hands with a full house of kings and fives when dealt from a standard 52-card deck.

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Answer:

x ≥ 3

Step-by-step explanation:

Answer:

\(8x^3+36x^2y+54xy^2+27y^3\)

Step-by-step explanation:

Multiply it out:

(2x + 3y)(2x + 3y)(2x + 3y)

and you get:

\(8x^3+36x^2y+54xy^2+27y^3\)

Accοrding tο simple interest, Patriciο will have $537.50 in his savings accοunt after 5 years.

Tο calculate the amοunt οf mοney Patriciο will have in his savings accοunt after 5 years, we can use the fοrmula fοr simple interest, which is I = prt.

Patriciο has $537.50 in the savings accοunt after 5 years.

The fοrmula fοr calculating simple interest is:

I = P * r * t

where I is the interest earned, P is the principal (initial amοunt), r is the interest rate, and t is the time (in years).

Using this fοrmula, we can calculate the interest earned by Patriciο οver 5 years:

I = 500 * 0.015 * 5 = $37.50

The tοtal amοunt οf mοney Patriciο has in the savings accοunt after 5 years is:

A = P + I = 500 + 37.50 = $537.50

Therefοre, Patriciο has $537.50 in the savings accοunt after 5 years.

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Answer:

M=1

Step-by-step explanation:

7M-1=6

7M=6+1

7M=7

M=7/7

M=1

The Nash equilibria is NE = {(1, 1), (5, 5)}

To find the best response function for player 1, we need to maximize u1(x, y) with respect to x, taking y as given.

∂u1/∂x = 2xy^2 - 2x = 2x(y^2 - 1)

Setting this equal to zero, we get x = 0 or y = ±1. But x cannot be 0, as it is not in the given interval [1, 5]. So, we have y = ±1, which gives x = ±√2 and x = ±√6. Hence, the best response function for player 1 is:

BR1(y) = {√6, -√6, √2, -√2}, for y ∈ [1, 5].

Similarly, to find the best response function for player 2, we need to maximize u2(x, y) with respect to y, taking x as given.

∂u2/∂y = x^2 - 2y

Setting this equal to zero, we get y = x^2/2. But this value of y may not be in the given interval [1, 5]. So, we take y = 1 if x^2/2 < 1, and y = 5 if x^2/2 > 5. Hence, the best response function for player 2 is:

BR2(x) = {1, x^2/2, 5}, for x ∈ [1, 5].

The rational reaction set for player 1 is the set of all values of x for which x is a best response to some y chosen by player 2. This gives us:

RR1 = {[√6, 1], [-√6, 1], [√2, 1], [-√2, 1], [1, 1], [5, 1]

Similarly, the rational reaction set for player 2 is the set of all values of y for which y is a best response to some x chosen by player 1. This gives us:

RR2 = {[1, √6], [1, -√6], [1, √2], [1, -√2], [1, 1], [1, 5]}

To find the Nash equilibria, we need to find the intersection of the rational reaction sets. From the above calculations, we can see that the only points of intersection are (1, 1) and (5, 5). Hence, the Nash equilibria are:

NE = {(1, 1), (5, 5)}

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The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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If a normal distribution has a mean of 4 and a standard deviation of 1.5. what is the z-score of x= 5.5 is 1

The mean of the normal distribution = 4

Standard deviation of the normal distribution = 1.5

The value of x = 5.5

The z-score of the normal distribution = The mean of the normal distribution / Standard deviation of the normal distribution

Substitute the values in the equation

The z-score of the normal distribution  = (5.5 - 4) / 1.5

Substract the terms

= 1.5 / 1.5

= 1

Hence, if a normal distribution has a mean of 4 and a standard deviation of 1.5. what is the z-score of x= 5.5 is 1

The complete question is:

suppose a normal distribution has a mean of 4 and a standard deviation of 1.5. what is the z-score of x = 5.5

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Answer:

2/10 simplified to lowest terms is 1/5

Step-by-step explanation:

hope this helps U_U