-32=-7x-8y slope intercept form

we know that,

probability = no. of favourable outcomes/total outcomes

so,

probability of getting a blue card

probability of getting a green card

The dominant strategy of Farmer Jones is to buy 10 cows.

To determine the dominant strategy of Farmer Jones, we need to compare the outcomes of his two options:

buying either 10 cows or 20 cows.

Let's analyze the potential outcomes for each case:

Buying 10 cows:

If Farmer Smith buys 10 cows:  

The total number of cows in the field would be 30, resulting in each cow producing $3000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

Buying 20 cows:

If Farmer Smith buys 10 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 50, resulting in each cow producing less than $2000 of milk (exact value unknown).

From the given information, we can observe that regardless of the strategy chosen by Farmer Smith, Farmer Jones is better off buying 10 cows.

In all scenarios, the milk production per cow is higher when Farmer Jones buys 10 cows compared to buying 20 cows.

Therefore, the dominant strategy for Farmer Jones is to buy 10 cows.

Formally, we can express this as follows:

For Farmer Jones, no matter the strategy chosen by Farmer Smith, buying 10 cows yields a higher milk production per cow compared to buying 20 cows.

Hence, Farmer Jones' dominant strategy is to buy 10 cows.

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The probability that the sample mean falls between 4800 psi and 5200 psi is 0. 0.9973.

Probability refers to the numerical descriptions of how likely an event is to occur. For the given information, the mean µ = 5000 psi and standard deviation σ = 400 psi.

For a random sample, n = 36, in order to determine the probability that the sample mean falls between 4800 psi and 5200 psi, the z test statistics for the range must be calculated.

z = (x - µ)/ (σ/√n) = (4800 - 5000)/ (400/√36) = -3

z = (x - µ)/ (σ/√n) = (5200 - 5000)/ (400/√36) = 3

Hence, the probability that the sample mean falls between 4800 psi and 5200 psi would be p ( -3< z < 3).

From the table,

p ( -2.4 < z < 2.4) = 0.9973

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Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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Answer:

26%

Step-by-step explanation:

running shoes: 30% off

basketball shoes: 20% off

2 pairs of running shoes + 1 pair of basketball shoes cost

2 * $50 + $75 = $175

The total original price before the discount was $175

Now we find the discounted prices and the total discounted price.

running shoes: 30% off means you pay 70% of the original price

70% of $100 = 0.7 * $100 = $70

basketball shoes: 20% off means you pay 80% of the original price

80% of $75 = 0.8 * 75 = $60

The total discounted price is $70 + $60 = $130

Now we find the actual discount.

Original total undiscounted price: $175

Total discounted price: $130

Actual total amount of discount: $175 - $130 = $45

Now we find the percent that 45 is of 175.

45/175 * 100% = 25.714...%

Answer: 26%

∂z/∂s = -sin()cos()t9 + cos()sin()9st2 and ∂z/∂t = sin()cos()s - cos()sin()81t.

To find ∂z/∂s and ∂z/∂t, we use the chain rule of partial differentiation. Let's begin by finding ∂z/∂s:

∂z/∂s = (∂z/∂)(∂/∂s)[(st9) cos(s9t)]

We know that ∂z/∂ is cos()cos() - sin()sin(), and

(∂/∂s)[(st9) cos(s9t)] = t9 cos(s9t) + (st9) (-sin(s9t))(9t)

Substituting these values, we get:

∂z/∂s = [cos()cos() - sin()sin()] [t9 cos(s9t) - 9st2 sin(s9t)]

Simplifying the expression, we get:

∂z/∂s = -sin()cos()t9 + cos()sin()9st2

Similarly, we can find ∂z/∂t as follows:

∂z/∂t = (∂z/∂)(∂/∂t)[(st9) cos(s9t)]

Using the same values as before, we get:

∂z/∂t = [cos()cos() - sin()sin()] [(s) (-sin(s9t)) + (st9) (-9cos(s9t))(9)]

Simplifying the expression, we get:

∂z/∂t = sin()cos()s - cos()sin()81t

Therefore, ∂z/∂s = -sin()cos()t9 + cos()sin()9st2 and ∂z/∂t = sin()cos()s - cos()sin()81t.

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The probability that P(X1 < X2 < X3) is 1/8.

We can solve this problem using the fact that if X1, X2, X3 are independent exponential random variables with the same rate parameter λ, then the joint density function of the three variables is given by:

f(x1, x2, x3) = λ^3 e^(-λ(x1+x2+x3))

We want to find the probability that X1 < X2 < X3. We can express this event as the intersection of the following three events:

A: X1 < X2

B: X2 < X3

C: X1 < X3

Using the joint density function above, we can compute the probability of each of these events using integration. For example, the probability of A is:

P(X1 < X2) = ∫∫ f(x1, x2, x3) dx1 dx2 dx3

= ∫∫ λ^3 e^(-λ(x1+x2+x3)) dx1 dx2 dx3 (integration over the region where x1 < x2)

= ∫ 0^∞ ∫ x1^∞ λ^3 e^(-λ(x1+x2+x3)) dx2 dx3 dx1

= ∫ 0^∞ λ^2 e^(-2λx1) dx1 (integration by substitution)

= 1/2

Similarly, we can compute the probability of B and C as:

P(X2 < X3) = 1/2

P(X1 < X3) = 1/2

Note that these probabilities are equal because the three exponential random variables are identically distributed.

Now, to compute the probability of the intersection of these events, we can use the multiplication rule:

P(X1 < X2 < X3) = P(A ∩ B ∩ C) = P(A)P(B|A)P(C|A∩B)

Since A, B, and C are independent, we have:

P(B|A) = P(B) = 1/2

P(C|A∩B) = P(C) = 1/2

Therefore:

P(X1 < X2 < X3) = (1/2)(1/2)(1/2) = 1/8

Thus, the probability that X1 < X2 < X3 is 1/8.

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The tenth position is the one that goes after the decimal point.

To round a number, you have to take into account the following:

1. If the number that goes after the position we are going to round to is greater than 5, we round to the next number in that position.

2. If the number that goes after the position we are going to round to is less than 5, we round to the same number in that position.

In this case, the number that is on the tenth's position is 4. The number that is after this position is 1, which is less than 5, then we round the number in this positon to 4.

The rounded number would be:

if you divide a number by 2 then you would probably end up with a whole number but if you divide a number by 1/2 you will end up with a fraction

The length of DE from the diagram is 16.2 units

Find the diagram attached.

Using the similarity theorem of triangles, the required expression will bee:

Cross multiply

9*9 = 5(2x + 3)

81  = 5(2x + 3)

Expand the parenthesis using the distributive law:

81 = 5(2x) + 5(3)

81 = 10x + 15

Subtract 15 from both sides

81 - 15 = 10x + 15 - 15

66 = 10x

x = 66/10

x = 6.6

Get the length of DE.

DE = 2x + 3

DE = 2(6.6) + 3

DE = 13.2 + 3

DE = 16.2 units

Hence the length of DE from the diagram is 16.2 units

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Answer:

X= 6.6

Length of DE = 16.2

Step-by-step explanation:

E2020 Geometry B!!

The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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Step-by-step explanation:

The explanation:

8x+36x-24=

44x-24.

That is in its simplest form.

Answer:

44x-24

Step-by-step explanation:

First we can multiply 6 by 4.

6 x 4 = 24

Then we multiply 8x by -6x

-6x × 8x = -48

Lastly we subtract 4 from -48, and turn it into a positive number.

48 - 4 = 44

(Hope this helps!)

If two windows are made with exactly two colors of glass each, the complete color combination of the glass in one of those windows could be determined by considering the possible combinations of the two colors.

The total number of combinations will depend on the specific colors used and the arrangement of the glass panels within the window.

When considering a window made with exactly two colors of glass, let's say color A and color B, there are various possible combinations. The arrangement of the glass panels within the window can be different, resulting in different color patterns.

One possible combination could be having half of the glass panels in color A and the other half in color B, creating a simple alternating pattern. Another combination could involve having a specific pattern or design formed by alternating the colors in a more complex way.

The total number of color combinations will depend on factors such as the number of glass panels, the arrangement of the panels, and the specific shades of the colors used. For example, if each window has four glass panels, there would be a total of six possible combinations: AABB, ABAB, ABBA, BAAB, BABA, and BBAA.

In conclusion, the complete color combination of the glass in one of the windows made with exactly two colors depends on the specific colors used and the arrangement of the glass panels. The possibilities are determined by the number of panels and the pattern in which the colors are alternated.

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When we have a radical, we can simplify it by the rule:

So, we have to break down 500 into simpler radicals until we have a radical that can't be broken down. Let's simplify Root(500).

Now, we can break down Root(50) further.

Now, let's break down Root(10) also, thus we have:

We can see:

• Root(25) is 5

• Also Root(2)*Root(2) is 2 by using the rule:

Thus, we finally have:

The engineer measuring the western rod with a sample size of 20 is expected to have a more precise (narrower) confidence interval compared to the engineer measuring the eastern rod with a sample size of 25.

The engineer who measures the length of the western rod 20 times and calculates the average is expected to have a more precise (narrower) confidence interval compared to the engineer who measures the length of the eastern rod 25 times.

In statistical terms, the precision of a confidence interval is influenced by the sample size. The larger the sample size, the more precise the estimate tends to be. In this case, the engineer measuring the western rod has a sample size of 20, while the engineer measuring the eastern rod has a sample size of 25. Since the sample size of the western rod is smaller, it is expected to have a narrower confidence interval and therefore a more precise estimate of the true length of the rod.

A larger sample size provides more information and reduces the variability in the estimates. It allows for a more accurate estimation of the population parameter. Therefore, the engineer with a larger sample size is likely to have a more precise interval.

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Answer:

Step-by-step explanation:

$105.20

P(X < 4) = 0.8059

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

In which

P(X < 4) = 0.8059

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Answer:

13.91

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached.

From the diagram the length of the vector along x component is given as:

Vx = Vcos(theta)

theta is the angle between the vector and the x axis

V is the length of the vector

Given

theta = 22°

V = 15

Substitute the given values into the formula above

Vx = 15cos22°

Vx = 15×0.9272

Vx = 13.91

Hence the length of the x-component of the vector is approximately 13.91

The true statements are:

The question is an illustration of a linear function; a linear function is a function that has a constant rate/slope

A linear function is represented as:

\(y=mx + c\)

Where

Start by calculating the slope using:

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{51 - 15.75}{4 -1}\)

\(m = 11.75\)

The linear equation is then calculated as:

\(y=m(x -x_1) + y_1\)

So, we have:

\(y=11.75(x -1) + 15.75\)

\(y=11.75x -11.75 + 15.75\)

\(y=11.75x +4\)

Start by calculating the slope using:

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{57 - 26.25}{4 -1}\)

\(m = 10.25\)

The linear equation is then calculated as:

\(y=m(x -x_1) + y_1\)

So, we have:

\(y=10.25(x -1) + 26.25\)

\(y=10.25x -10.25 + 26.25\)

\(y=10.25x+16\)

To do this, we simply equate both equations

\(11.75x +4 = 10.25x + 16\)

Collect like terms

\(11.75x -10.25x = -4+ 16\)

\(1.5x = 12\)

Solve for x

\(x = 8\)

Substitute 8 for x in any of the equations.

\(y=11.75 \times 8 +4\)

\(y=98\)

Hence, the price of both products will be the same at $98.00

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Answer:

7 miles i think not sure cause it could also be 14 so like......

Step-by-step explanation:

Answer:

10.296 Miles

Step-by-step explanation:

9x9=81

5x5=25

25+81=106

sqr 106= 10.296

Answer:

20 hrs

Step-by-step explanation:

growth per hour=5%

no of hrs to double=100/5=20

(it may be wrong)<3

Step-by-step explanation:

Statements

1.RA equal RB

2.RP equal RP

3.RA is perpendicular to AP, RB is perpendicular to PB

4.right triangle RAP is congruent to Right triangle RBP

5.PA equal PB

Reasons

1.radii of same circle are equal

2.Reflexitive

3.Radius is perpendicular to tangent

4.HL

5 CPCTC

Answer:

RA = RB ----- radii of the same circles are =

RP = RP ----- reflexive

RA ⊥ AP, RB ⊥ PB ----- Radius congruent to tangent

rtΔ RAP ≅ rtΔ RBP ----- HL

PA = PB ----- CPCTE

Answer:

-3,8

Step-by-step explanation:

Answer: The triangles are not congruent.

Step-by-step explanation:

Because there is not enough information to tell us that these triangles are congruent (there would have to be at least 3 congruent things shared among the two triangles to even consider checking for congruency, and there are only two), the triangles are not congruent by any theorem or postulate.

I hope this helps!

These triangles are not congruent !

The half-life of this substance is 828.37 days and it would take 1312.93 days for the sample to decay to one-third of its original amount.

Half-life is defined as the time it will took a substance to reduce to half of its initial amount. The half-life of a substance is determined with respect to the rate of the reaction. It can be calculated using the formula below.

N(t) = N₀(1/2)^(t/T)

where N(t) = amount of substance remaining after time t

N₀ = initial amount of substance

t = time

T = half-life

If a sample of a certain substance decayed to 77.8% of its original amount, then N(t) = 0.778N₀.

Hence,

N(t) = N₀(1/2)^(t/T)

0.778N₀ = N₀(1/2)^(300/T)

0.778 = (1/2)^(300/T)

T = 828.27 days

If the sample is to decay to one-third of its original amount, then N(t) = 1/3N₀.

Hence,

N(t) = N₀(1/2)^(t/T)

1/3N₀ = N₀(1/2)^(t/828.27)

1/3 = (1/2)^(t/828.27)

t = 1312.93 days

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Answer:

BC / 8 = sin 35° by definition.

Step-by-step explanation:

Answer:d≈5.2cm

Step-by-step explanation:

d=3a=3·3≈5.19615cm

Answer:

a is the answer I hope you have a great day

Answer:

A.)

B.)

Step-by-step explanation:

i looked it up and only a and b show 10

Answer:

24 cm^2

Step-by-step explanation:

There are 6 sides on a cube.

If the length of a side is 2, then the area of a face is 4 because it is a square.

4 x 6 = 24.