How many solutions does the system 3x+y=4 and 6x+2y=8 have show work

Answer:2.5,21,166,1132

Step-by-step explanation:

I'm sorry, but you haven't provided enough information to determine the ratio of red ribbon to total. Please provide more details.

The entropy of the random variable X in this case is approximately 1.585 bits.

The entropy of a random variable X is a measure of the uncertainty associated with it. In this case, the random variable X is the number of selections required to choose the number 3.

Since the numbers are selected without replacement, the possible values for X are 1, 2, and 3, and the probabilities for each value are:

P(X=1) = 1/3

P(X=2) = 2/7

P(X=3) = 4/7

The entropy of a random variable X in bits is given by the formula:

H(X) = -∑P(X) log2(P(X))

Plugging in the probabilities above:

H(X) = -(1/3 log2(1/3) + 2/7 log2(2/7) + 4/7 log2(4/7))

H(X) = 1.585 bits

So, the entropy of the random variable X in this case is approximately 1.585 bits.

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The endpoints of AB are (2, 5) and (-4, 7). So the coordinates of the midpoint are (-1, 6).

These are the specified parameters:

AB are (2, 5) and (-4, 7)

Here,

x₁ = 2 and y₁ = 5

x₂ = -4 and y₂ = 7

The coordinates of the midpoint

= ((x₁ + x₂)/2 , (y₁ + y₂)/2)

= ((2 + (-4))/2 , (5 + 7)/2)

= (-2/2 , 12/2)

= (-1, 6)

So the coordinates of the midpoint of segment AB are (-1, 6).

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The area of triangular patio = 810 sq. ft

and In drawing, The area of triangle = 10 sq. In

A triangle is a closed figure that has three vertices, three sides, and three angles. The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 b h, where b and h are the product of the triangle's base and height.

Given that in drawing the base and height of a triangular patio are: 5 In and 4 In.

and A scale drawing of the patio is 1 in. : 9 ft

So that the the base and height of a triangular patio are 5*9 ft = 45ft and 4*9 ft = 36 ft

The area of triangular patio = 1/2 * base * height

The area of triangular patio = 1/2 * 45 * 36 sq. ft

The area of triangular patio = 810 sq. ft

In drawing, The area of triangle = 1/2 * base * height

The area of triangle = 1/2 * 5 * 4 sq. In

The area of triangle = 10 sq. In

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Answer: Im pretty sure the answers are B and C

Step-by-step explanation:

if you start with [tex]\frac{2(3x-6)}{3}[/tex] and distribute the 2

[tex]2*3=6[/tex]

[tex]2*-6=-12[/tex]

So you are left with [tex]\frac{6x-12}{3}[/tex]

[tex]\frac{6x}{3}=2x[/tex]

[tex]\frac{-12}{3}=-4[/tex]

[tex]2x-4[/tex]

Answer:

C

Step-by-step explanation:

morgan = x

megan = x+3

marie = x+2

x+x+3+x+2=3x+5

Answer:

no they are not similar

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:   :)

27438 be the number of  bacteria  there be in 8 hours.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Nate is culturing bacteria that have a growth rate of 10% per hour.

The current population is 12,800 bacteria.

We need to find the number of  bacteria will there be in 8 hours

[tex]A=P(1+r)^{t}[/tex]

[tex]A=12800(1+10/100)^{8}[/tex]

[tex]A=12800(1+0.1)^{8}[/tex]

A = 12800×(2.14)

A=27438

Hence, 27438 be the number of  bacteria  there be in 8 hours.

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Answer:

Hotdogs = 25    Chili dogs = 28

I believe it correct

Answer:

0       0

3        9

5       15

10      30

Step-by-step explanation:

Since y=3x plug in the various x values to attain your y values.

Answer:

The number of planes that land in a given time period follows a Poisson distribution with parameter lambda equal to the average rate of landing per unit time. In this case, lambda is equal to 0.1 planes per minute.

The probability that between 2 and 6 planes will land in 10 minutes is given by the cumulative distribution function of the Poisson distribution:

P(2 <= X <= 6) = P(X <= 6) - P(X <= 1)

Where X is the number of planes that land in 10 minutes.

Using the cumulative distribution function for the Poisson distribution, we have:

P(X <= 6) = 1 - e^(-0.1 * 10) * (1 + 0.1 * 10 + (0.1 * 10)^2 / 2! + ... + (0.1 * 10)^6 / 6!)

P(X <= 1) = 1 - e^(-0.1 * 10) * (1 + 0.1 * 10)

Therefore,

P(2 <= X <= 6) = (1 - e^(-0.1 * 10) * (1 + 0.1 * 10 + (0.1 * 10)^2 / 2! + ... + (0.1 * 10)^6 / 6!)) - (1 - e^(-0.1 * 10) * (1 + 0.1 * 10))

The exact value of this probability can be calculated using a calculator or computer software.

Answer:

0.3

Step-by-step explanation:

Answer:

The first one is the answer

Step-by-step explanation:

let m be the other number,

so 5(m-26.8) = 63.7

Answer:

image 2

1. SSS

2. AAS

3. SAS

The area between the curves is 18 square units.

First, we should find the area between the curves 2x+y²=8 and y=x, we can find the area of curves by substituting y for x in equation 2x+y²=8.

The given equation is 2x+y²=8 and for this, we have to find the roots:

2y+y²=8

y²+2y−8=0

(y+4)(y−2)=8

so the line y=x intersects the parabola 2x+y²=8 at the points (−4,−4) and (2,2). Solving the equation 2x+y²=8 for x yields x=4−1/2y²

From sketching the graphs of the parabola and the line, we can see that the x-values on the parabola lie on the line in the interval of −4≤y≤2.

The area between curves is:

[tex]A=\int\limits^2_4 {(4-\frac{1}{2}y^2-y) } \, dy\\\\A=(4y-\frac{1}{6} y^3-\frac{1}{2} )^2_-_4[/tex]

A=(8-4/3-2)-(-16+32/3-8)

A =18 square units.

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.

Answer:

  24 m, 25 m

Step-by-step explanation:

You want the two sides of a right triangle that are consecutive integers when one side is 7 m.

Let the shorter side be represented by x. Then the longer side is x+1, and the Pythagorean theorem tells you ...

  7² +x² = (x+1)²

  49 +x² = x² +2x +1

  48 = 2x . . . . . . subtract (x²+1)

  24 = x

  x+1 = 25

The other sides are 24 and 25 meters.

__

Additional comment

You know that 7 is not the hypotenuse, because a 3-4-5 right triangle is the only right triangle with consecutive integer leg lengths and a hypotenuse of 7 or less. (The next nearest right triangle with consecutive leg lengths is {20, 21, 29}, with a hypotenuse of 29.)

You may recognize the side lengths as the Pythagorean Triple {7, 24, 25}, one of the triples commonly seen in algebra and trig problems.

The image below is  a reduction, the scale factor is 1/5.

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]

Thus, scale factor is the ratio of the new measurement to the old measurement.

Given;

The two triangle with  4cm, 5cm, 3cm and  20cm, 25cm, and 15cm.

Now,

s=4/20=1/5

s=5/25=1/5

s=3/15=1/5

Therefore, the scale factor will be 1/5.

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The biweekly salary last year is $2,593.77.

The biweekly salary this year is  $2,905.

The amount she earns more is $311.23.

If an event occurs biweekly, it means that it occurs every two weeks.

Total number of times she was paid = number of weeks in a year / frequency she is paid

52 /2 = 26

Biweekly salary last year = salary last year  / number of times she was paid

$67,438 / 26 = $2,593.77

Biweekly salary this year = annual salary / number of times she was paid

= $75,530 / 26

= $2,905

Increase in biweekly salary = $2,905 - $2,593.77 = $311.23

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The correct statement is y=5x-9

In Mathematics, a slant asymptote, also known as an oblique asymptote, occurs when the degree of the numerator polynomial is greater than the degree of the denominator polynomial. The slant asymptote gives the linear function which is neither parallel to x-axis nor parallel to the y-axis.

Given here: The function f(x)=10x³-8x²+6 over 2x²+2x-4

Thus       2x²+2x-4)=10x³-8x²+6 (5x-9

                                10x³+10x²-20x

                       __________________

                                        -18x²+4x+6

                                        -18x²-18x-36

                        ___________________

                                                 22x+42

Thus the required oblique slant asymptote is given by 5x-9

Hence, The correct statement is y=5x-9

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A mean is an arithmetic average of a set of observations. The correct option is D.

A mean is an arithmetic average of a set of observations. It is given by the formula,

Mean = (Sum of observations)/Number of observations

To make the calculations easy let's round off the given numbers. Therefore, we can write the values as,

Least expensive A=30

Most expensive B=90

half of order C=70

Now, the mean and the money for half the people can be written as,

Mean = (least + most)/2 = 60

money for half people = 5 × 60

Therefore, the amount of money for half people will be,

Amount of money for half people = 300

Lower limit for amount of the other half = 29.95 × 5 = 149.5

The Upper limit for the amount of the other half = 89.95 × 5 = 449.75

Mean = (149.75 + 449.75)/2 = 299.6Total money spent (Mean) = 299.6 + 299.6 = 599.25

Hence, The Best estimate is $660. This is because it is closest to 599.25.

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Ten people ordered calculators. The least expensive was $19.95 and the most expensive was$39.95. Half ordered a $29.95 calculator. Select the best estimate of the amount spent on calculators.

a.$240,

b. $310,

c.$345,

d. $355

The required area of the triangle is represented by the expression A = (1/2)b² + 6b. where b is the base of the triangle.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

To find the area of a triangle, we need to know the base and height of the triangle. The height of the triangle is given as 12 cm greater than the base of the triangle, so let's call the base of the triangle "b".

The height would then be h = b + 12.

The formula for the area of a triangle is:

A = (1/2)bh

So, the area of the triangle would be:

A = (1/2)(b)(b + 12)
A= (1/2)b² + (1/2)12b
A = (1/2)b² + 6b

In this case, the area of the triangle is a function of the base, so the exact value of the area depends on the value of b.

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The initial height of the rocket is 24 meters. The rocket would hit ground after 5.16 seconds. The height of the rocket after 4 seconds is 84 meters.

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The height of the rocket after t seconds is:

h(t) = -4t² + 16t + 24

a) The initial height is at t = 0, hence:

h(0) = -4(0) + 16(0) + 24

h(0) = 24

The initial height of the rocket is 24 meters

b) The rocket hit the ground at h = 0, hence:

0 = -4t² + 16t + 24

4t² - 16t - 24 = 0

t = 5.16 seconds

c) The height of the rocket after 4 seconds:

h(5) = -4(5) + 16(5) + 24 = 84 meter

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The simplified form of complex number (2+3i)(4-i) is 11+10i.

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

Here,

A) (3 + 2i) + (5 - 3i)

= 3+2i+5-3i

= 8-i

B) (-5 + 3i) - (6 - i)

= -5+3i-6+i

= -11+4i

C) (-4+4i)-(-6+9i)

= -4+4i+6-9i

= 2-5i

D) (2+3i)(4-i)

= 8+12i-2i-3i²

= 8+10i+3

= 11+10i

E) (2-3i)/(4+3i)

Rationalize denominator, that is

(2-3i)×(4-3i)/(4+3i)×(4-3i)

= (8-12i-6i+9i²)/(16-9i²)

= (8-18i-9)/25

= (-18i-1)/25

Therefore, the simplified form of (2+3i)(4-i) is 11+10i.

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Step-by-step explanation:

Rearrange w = 3(2a + b) - 4 to make a the subject:

w = 3(2a + b) - 4

expand right side:

w = 6a + 3b - 4

add 4 to both sides:

w + 4 = 6a + 3b - 4 + 4

w + 4 = 6a + 3b

subtract 3b from both sides:

w + 4 - 3b = 6a + 3b - 3b

w + 4 - 3b = 6a  

flip flop equation for readability ease:

w + 4 - 3b = 6a  becomes:

6a  = w + 4 - 3b

divide both sides by 6:

6a/6  = (w + 4 - 3b)/6

a = [tex]\frac{1}{6}w + \frac{4}{6} -\frac{3}{6}b[/tex]

reduce:

a = [tex]\frac{1}{6}w + \frac{2}{3} -\frac{1}{2}b[/tex]

Now, arrange right side of equation so variables are ordered alphabetically.

Answer: [tex]a = -\frac{1}{2}b +\frac{1}{6} w+\frac{2}{3}[/tex]

The probability associated with the chi-square value of 0.023 in a chi-square test is the probability of obtaining the observed results, assuming that the expected results are true.

In other words, it is the probability of observing the deviation between the observed and expected values purely due to chance. A low probability value, such as 0.023, indicates that the deviation is unlikely to have occurred by chance, and suggests that there may be some other factor affecting the results of the genetic cross.

In this case, the researcher may reject the null hypothesis that the observed and expected values are in agreement, and conclude that there is a significant difference between the observed and expected values.

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The slope of the line passing through the points (−8, -4) and (−8, 8) is undefined

The slope of the line passing through the points (3, 4) and (−3, 4) is 0

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The slope of the line passing through points (x₁, y₁) and (x₂, y₂) is:

m = (y₂ - y₁) / (x₂ - x₁)

A) Find the slope of the line passing through the points (−8, -4) and (−8, 8).

m = (8 - (-4)) / (-8 - (-8)) = undefined

The slope is undefined

B) Find the slope of the line passing through the points (3, 4) and (−3, 4).

Slope = (4 - 4) / (-3 - (-3)) = 0

The slope is 0

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We estimate that, based on the sample, 9.18% of Oregon whelks will drill into mussels.

We can calculate the estimated proportion of Oregon whelks that will drill into mussels by using the following formula: [tex]$\hat{p} = \frac{x}{n}$[/tex], where x is the number of whelks that drilled into mussels and $n$ is the total number of whelks in the sample.

In this example, x is equal to 9, and n is equal to 98. Thus, the estimated proportion of Oregon whelks that will drill into mussels is [tex]$\hat{p} = \frac{9}{98} = 0.0918$[/tex]. This means that, based on the sample, we estimate that 9.18% of Oregon whelks will drill into mussels.

We estimate that, based on the sample, 9.18% of Oregon whelks will drill into mussels.

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The region along the horizontal axis where the net electric field is zero is region C.

In region C, the electric field produced by the positive charge is equal and opposite to the electric field produced by the negative charge. Therefore, the net electric field in this region is zero. The electric field is proportional to the gradient of the potential, and thus, the potential is constant in region C. Points in region C are equipotential points, meaning that they have the same electrical potential and the electric field is perpendicular to the equipotential surface.

In regions A, B, D, and E, the electric field is non-zero because the charges are not symmetrically placed with respect to the point in question, and thus, the electric field will have a net non-zero value in these regions.

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Answer:

Likely.

Step-by-step explanation:

so easy that is

or you need explanation?