-9 + 4 =
How many negative chips ?
How many positive chips?
How many zero pairs?
Final answer:

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\(\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}\)

Thus, the second option is correct.

Step-by-step explanation:

Given the point

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\(\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}\)

Arrange equation variable for elimination

\(\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}\)

so

\(y+3x=-5\)

\(-\)

\(\underline{y-4x=9}\)

\(7x=-14\)

so the system of equations becomes

\(\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}\)

Solve 7x = -14 for x

\(7x=-14\)

Divide both sides by 7

\(\frac{7x}{7}=\frac{-14}{7}\)

Simplify

\(x = -2\)

For y - 4x = 9 plug in x = 2

\(y-4\left(-2\right)=9\)

\(y+4\cdot \:2=9\)

\(y+8=9\)

Subtract 8 from both sides

\(y+8-8=9-8\)

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\(\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}\)

Thus, the second option is correct.

Using integration by part, the value of the integration over the interval is given as [(4√3 π - π + 2ln(2) - 4)] / 6

In the given question, we have a function which is;

f(x) = √x tan⁻¹ √x dx over an interval of lower limit 1 and upper limit of 3

Applying integration by parts

[2/3x^3/2 arctan(√x) - ∫ x/3(x + 1) dx]^3_1

We can simplify this into;

[1/3(2x^3/2 arctan(√x) - x - 1 + ln |x + 1|)] ^3_1

Let's compute the boundaries

[(4√3 π - π + 2ln(2) - 4)] / 6

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Yes, AAS proves congruence.

AAS stands for Angle-Angle-Side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

AAS congruence can be proved in easy steps.

Suppose we have two triangles ABC and DEF, where

∠B = ∠E [Corresponding angles] ∠C = ∠F [Corresponding angles] And

AC = DF [Adjacent sides]

By the angle sum property of the triangle, we know that;

∠A + ∠B + ∠C = 180 ………(1)

∠D + ∠E + ∠F = 180 ……….(2)

From equations 1 and 2 we can say;

∠A + ∠B + ∠C = ∠D + ∠E + ∠F

∠A + ∠E + ∠F = ∠D + ∠E + ∠F [Since, ∠B = ∠E and ∠C = ∠F] ∠A = ∠D

Hence, in triangles ABC and DEF,

∠A = ∠D

AC = DF

∠C = ∠F

Hence, by AAS congruency,

Δ ABC ≅ Δ DEF

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Answer:

202500

Step-by-step explanation:

15x0.45=6.75

30000x6.75=202500

Simon

C = 4n + 1

Shania

C = 3n + 4 + n -3

C = 4n + 1

Tate

C = (6n + 1) + (-2n)

C = 6n + 1 - 2n

C = 4n + 1

Navdeep

C = 2(2n + 3) -5

C = 4n + 6 - 5

C = 4n + 1

Therefore all of them are equivalent.

Answered by Gauthmath must click thanks and mark brainliest

Answer:

13 9/14

Step-by-step explanation:

Add the blue + red fabric

1. Make the denominator the same

6 7/14 + 7 2/14

2. Add

6 7/14 + 7 2/14 = 13 9/14

Answer:

13 9/14

Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest

Answer:

1)

surface area= πr² + πrl

π7² + π x 7 x 5.7

=49π + 39.9π

=88.9π

use this formula below for the rest

surface area= πr² + πrl

Answer: 4/15

For fraction multiplication, multiply the numerators and then multiply the denominators

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 12 and 45 using

GCF(12,45) = 3

Therefore: it's 4/15

Hope this helps (>'-'<)

Answer:

ssorry i am 2ncd grade

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=3x-7

Answer:

In the case presented, the range is the difference between the maximum value and the minimum value of the data. The range describes the breadth of the data and how much they vary from the minimum value to the maximum value. Therefore, the range indicates the dispersion of the data.

The statement indicates that the range is 5, which means that the most flights made by students is 5. Since the data has a narrow dispersion, we can conclude that most students have taken a similar number of flights, implying that most students have flown an amount close to the maximum number observed.

Therefore, the option that best describes the dispersion of the data is: "The data has a range of 5, which is a narrow dispersion. This means that most students have taken a similar number of flights."

Step-by-step explanation:

As per the remainder that the greatest possible value of 17

The term remainder in math defined as if a number is not completely divisible by another number  then we are left with a value once the division is done

Here we have if x is a positive integer, then r is the remainder when x is divided by 4 and r is the remainder when x is divided by 9.

As we all know that the remainder is always smaller than the divisor.

Here we have also know that it will be 0 if the dividend is evenly divisible or a positive integer less than the divisor.

So, when we divided by 4 then the largest remainder will be 3 and then here we have to  divided by 9, then the largest remainder will be written as

=> r² + R = 32 + 8

=> 9 + 8 = 17

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The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer:

$217.50

Step-by-step explanation:

I) Make an equation to find the answer:

o = s + 0.25s (original price = sale price + 25% of sale price)

II) Solve:

o = 174 + 0.25(174)

o = 217.50

If the price was 174 after the mark down of 25%, then adding 25% back will give you the answer.

174 + 25% (which is 43.5) = $217.5

Hope this helps!

The correct response is option 3 i.e n = 6.

What is a Sequence?

A sequence is a list of items arranged in a stepwise order, with members coming either before or after.

We know that,

aₙ = a₁ + (n-1)×d     .............................(Arithmetic sequence formulae)

here,

aₙ = -13

a₁ = 7

d = -4

Substituting the values we get,

-13 = 7 + (n-1)×(-4)

∵ (-4)×(n-1) = -20

=> n-1 = 5

=> n = 6

Thus, the final value of n is 6.

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Answer:

the median is 8

Step-by-step explanation:

hope this helps!

2,5,6,7,8,10,11,12,14

Answer:

8

Step-by-step explanation:

Rearrange to 2 5 6 7 8 10 11 12 14 in ascending order

Take the center number

The expression that will help Eshaal determine the length of segment BC is: BC = DE - AB

Since segments DE and AB are parallel, we can use the following expression to calculate the length of segment BC: BC = DE - AB. This expression states that the length of BC is equal to the length of DE minus the length of AB.

If segments DE and AB are parallel, we can use a simple expression to find the length of segment BC. This expression is: BC = DE - AB. This expression states that the length of BC is equal to the difference of the length of DE and the length of AB. In other words, if we know the lengths of segments DE and AB, we can calculate the length of segment BC by subtracting the length of segment AB from the length of segment DE. This expression is a useful tool for finding the length of segment BC when we know the lengths of segments DE and AB. It is a simple and efficient way to calculate the length of segment BC without having to measure it directly.

the complete question is : If segments DE and AB are parallel, which of the following expressions will help Eshaal determine the length of segment BC?If segments DE and AB are parallel, what expression can Eshaal use to determine the length of segment BC?

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The value of x in sequence of number is 10.

Here, first term of sequence is x and each term there after is twice the previous term. Also Fifth term is 160.

What is geometric series?

Geometric series is an infinite series of the form:

\(a+ar+a r^{2} +ar^{3} +..........\)

where r is known as common ratio.

Now, first term is x and each term there after is twice the previous term.

So the series will be;

x , 2x , 4x , 8x, ..........

Clearly this series is geometric series with common ratio 2.

And the nth term of geometric series is \(ar^{n-1}\)

⇒ fifth term is 160

\(ar^{5-1} = 160\\ar^{4} = 160\\a 2^{4} =160\\a=\frac{160}{16} \\a=10\)

Here, first term is x.

The value of x in sequence of number is 10.

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The exact value of the area between the graphs y = cos x and y = eˣ is 0.877.

Integration is the process reverse to differentiation. It is a method of adding the parts to get the whole.

The exponential graph goes above the cosine graph. Therefore, the area we are looking for is the difference of the area formed by the exponential graph and the area formed by the cosine graph.

Let A be the required area.

Let A₁ be the area of the graph formed by the cosine function. Then this area is the integral of the cosine function from the limit 0 to 1.

A₁ = \(\int\limits^1_0 {cos x} \, dx\)

    = [sin x]¹₀

Giving the values of the limits, we get

A₁ = sin 1 - sin 0

Now, the value of sin 0 equals  0.

A₁ = sin 1

Let A₂ be the area formed by the graph of exponential function.

A₂ = \(\int\limits^1_0 {e^x} \, dx\)

    = [eˣ]¹₀

    = e¹ - e⁰

    = e - 1 ( Since any value raise to 0 equals 1, e⁰ = 1.

Now, A = A₂ -  A₁

            = e - 1 - sin 1

Value of e equals 2.718 and value of sin 1 equals 0.841

A = 2.718 - 1 - 0.841 = 0.877

Hence the exact value of the area between the graphs y = cos x and y = eˣ is 0.877.

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P(Assume that we have two events, A&B) is mutually exclusive, P(A | B) is not equal to P(A), and the events A and B  independent

Probabilities are used to measure the likelihood of an event occurring.

When we have two events, A and B, that are mutually exclusive, it means that the occurrence of one event precludes the other from occurring. In this case, P(A) and P(B) measure the individual probabilities of events A and B occurring.

P(A) = 0.30 and P(B) = 0.40. Therefore, P(A | B) is the probability of event A occurring given that event B has already occurred, which is equal to 0 since event A cannot occur if event B has already happened.

P(A | B) is not equal to P(A), since P(A) measures the probability of event A occurring without considering any other events.

Since events A and B are mutually exclusive and the occurrence of one event precludes the other from occurring, they are considered independent events.

Therefore, the probability of one event occurring does not affect the probability of the other event occurring, which means they are independent events

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The expected variance of red balls chosen is 2/3 from the urn.

Six red balls and four green balls are in an urn.

Till a urn is empty, we take balls out of it one at a time without replacing them and noting their order of the colors.

The, the variance is found as-

Variance(X,Y) = E(XY) - E(X).E(Y).E(XY)

E(XY)  = 25×(6/10)(4/9)

E(X) = 5×(6/10)

E(Y) = 5×(4/10)

Thus,

Variance(X,Y) = 25(6/10)(4/9) - 25(6/10)(4/10)

Variance(X,Y) = 2/3

Thus, the variance for choosing red balls is 2/3.

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Answer: D. -1.58

Explanation: The Z-score is calculated by taking the raw score, subtracting the mean, and then dividing by the standard deviation. This gives us (-85.2-89)/2.4 = -1.58

Answer:

-2

Step-by-step explanation:

M = (y - yo/x - xo)

(-6 + 2) / (0 + 2)

-4 / -2

= - 2

Answer:

Step-by-step explanation:

Answer for this question is option (c) 0.2344

Approach:

The probability of getting a Head in single toss

x= 1/2

The probability of not getting a Head in single toss

y= 1 - 1/2 = 1/2

Now, using Binomial Theorem, the probability of getting r = 2 heads in total n = 6 tosses

= ⁶C₂ * (1/2)² * (1/2)⁶⁻²

= [ (6!) / (2! * 4!) ] * (1/4) * (1/16)

= [ (6*5*4*3*2*1) / (2*1 * 4*3*2*1) ] * (1/64)

= 15/64

= 0.234374

= 0.2344 (Round off value)

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Given:

A fair coin is tossed 6 times.

To find:

Probability that you will toss exactly 2 heads.

Probability that you will get a head in a single toss is: Q = 1/2

Probability that you will not get a head in a single toss is: R = 1 – 1/2 = 1/2

We use Binomial Theorem to find the probability of getting 2 heads (x) in a total of 6 tosses (n)

Probability = ⁶C₂ x (1/2)² x (1/2)⁶⁻²

Probability = [(6!) / (2! x 4!)] x (1/4) x (1/16)

Probability = [(6 x 5 x 4 x 3 x 2 x 1) / (2 x 1 x 4 x 3 x 2 x 1)] x (1/64)

Probability = 15 / 64

Probability = 0.234374

Probability = 0.2344

Therefore, the probability of getting exactly 2 heads in 6 tosses is 0.2344

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To compare the 3-month and 12-month moving average forecasts using the mean absolute deviation (MAD) criterion, we need to calculate the MAD for each model and then compare them. The MAD is a measure of the average magnitude of the forecast errors, and a lower MAD indicates a better forecast.

To calculate the MAD for the 3-month moving average model, we need to first calculate the forecasted values for each month by taking the average of the unemployment rates for the previous 3 months. For example, the forecasted value for April 2018 would be the average of the unemployment rates for January, February, and March 2018. We then calculate the absolute deviation between the forecasted value and the actual value for each month, and take the average of those deviations to get the MAD for the 3-month moving average model.

We can repeat this process for the 12-month moving average model, but instead of taking the average of the previous 3 months, we take the average of the previous 12 months.

Once we have calculated the MAD for both models, we can compare them to determine which model yields better results. Generally, a lower MAD indicates a better forecast. However, it is important to note that the MAD criterion only considers the magnitude of the forecast errors and does not take into account the direction of the errors (i.e., overestimation versus underestimation).

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Full Question ;

The accompanying dataset provides data on monthly unemployment rates for a certain region over four years. Compare 3- and 12-month moving average forecasts using the MAD criterion. Which of the two models yields better results? Explain. Click the icon to view the unemployment rate data. Find the MAD for the 3-month moving average forecast. MAD = (Type an integer or decimal rounded to three decimal places as needed.) A1 fx Year D E F G H I 1 2 3 1 с Rate(%) 7.8 8.3 8.5 8.9 9.4 9.6 9.4 9.5 9.7 9.9 9.8 10.1 9.9 9.7 9.8 9.91 9.7 9.4 9.6 9.4 9.3 9.5 9.9 9.5 9.2 9.1 8.9 A B Year Month 2013 Jan 2013 Feb 2013 Mar 2013 Apr 2013 May 2013 Jun 2013 Jul 2013 Aug 2013 Sep 2013 Oct 2013 Nov 2013 Dec 2014 Jan 2014 Feb 2014 Mar 2014 Apr 2014 May 2014 Jun 2014 Jul 2014 Aug 2014 Sep 2014 Oct 2014 Nov 2014 Dec 2015 Jan 2015 Feb 2015 Mar 2015 Apr 2015 May 2015 Jun 2015 Jul 2015 Aug 2015 Sep 2015 Oct 5 7 3 ) 1 2 3 1 5 7 9.1 ) 9. 1 2 3 1 5 7 ) 9.1 8.9 8.9 8.9 8.9 8.7 8.4 8.3 8.3 8.4 8.1 8.1 8.4 8.2 8.3 7.7 7.9 7.9 7.8 1 2 2015 Dec 2016 Jan 2016 Feb 2016 Mar 2016 Apr 2016 May 2016 Jun 2016 Jul 2016 Aug 2016 Sep 2016 Oct 2016 Nov 2016 Dec 3 1 5 3 2 2

Given, the function is f(x,y,z)=5+yxz+g(x,z)Here, we need to find the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) . The directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is 0.

Using the formula of the directional derivative, the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is given by

(f(x,y,z)) = grad(f(x,y,z)).v

where grad(f(x,y,z)) is the gradient of the function f(x,y,z) and v is the direction vector.

∴ grad(f(x,y,z)) = (fx, fy, fz)

                       = (∂f/∂x, ∂f/∂y, ∂f/∂z)

Hence, fx = ∂f/∂x = 0 + yzg′(x,z)fy

                = ∂f/∂y

                = xz and

fz = ∂f/∂z = yx + g′(x,z)

We need to evaluate the gradient at the point (3,0,3), then

we have:fx(3,0,3) = yzg′(3,3)fy(3,0,3)

                             = 3(0) = 0fz(3,0,3)

                             = 0 + g′(3,3)

                             = g′(3,3)

Therefore, grad(f(x,y,z))(3,0,3) = (0, 0, g′(3,3))Dv(f(x,y,z))(3,0,3)

                                                 = grad(f(x,y,z))(3,0,3)⋅v

where, v = (0,4,0)Thus, Dv(f(x,y,z))(3,0,3) = (0, 0, g′(3,3))⋅(0,4,0)   = 0

The directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is 0.

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Answer:

\(P(X \geq 13) = 0.021\)

Step-by-step explanation:

From the question we are told that:

Probability of curing patients P(x)=0.65

Sample size n=14

Generally the Binomial equation is mathematically given by

\(P(X) =\frac{(n!)}{X!(n-X)!))} *p^X*(1-p)^(n-X)\)

Generally the equation for Equation for at least 12 cured is mathematically given by

\(P(X \geq 13) = P(X = 13)+P(X = 14)\)

For \(P(X = 13)\)

\(P(X = 13) = (14!/(13!(14-13)!))*0.65^13*(1-0.65)^(14-13) \\\\P(X = 13)= 0.018116\)

For \(P(X = 14)\)

\(P(X = 14) = (14!/(14!(14-14)!))*0.65^14*(1-0.65)^(14-14) \\\\P(X = 14)= 0.00240318\)

Therefore

\(P(X \geq 13) =P(X = 13)+P(X = 14)\)

\(P(X \geq 13) = 0.018116+0.00240318\)

\(P(X \geq 13) = 0.02051918\)

\(P(X \geq 13) = 0.021\)