The mean of the diameter of the rubber ball is 12cm with a standard deviation of 0.2 cm. Define the random variable X in words. X =

Considering the systems of equations, the system of equations has infinite solutions.

Systems of equations are a set of two or more equations with two or more variables.

To find the solution to a system of equations, you have to solve the equations simultaneously. However, not all systems of equations have a solution. You can have systems with no solutions or even systems with infinitely many solutions.

hat is, there are three possible results that we can find when working with systems of linear equations:

The system of equations is:

3x+y=4

6x+2y=8

You can see that the second equation is obtained by multiplying the first equation by 2. Therefore, the system of equations has infinitely many solutions.

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The solution is, f(x) = 7 is a even function.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

Solution:

Given that we have to find the even function

A function is even if and only if f(–x) = f(x)

Steps to follow:

Replace x with -x and compare the result to f(x).

If f(-x) = f(x), the function is even.

If f(-x) = - f(x), the function is odd.

If f(-x) ≠ f(x) and f(-x) ≠ -f(x), the function is neither even nor odd.

now,

Option 4

f(x) = 7

f(-x) = 7

Thus f(-x) = f(x)

Thus it is a even function.

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

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

Answer:2.5,21,166,1132

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

To find the volume you multiply L = 10, W = 3, and H = 4

10 x 3 x 4

30 x 4

120

Activity-based costing is a method of assigning overhead costs to activities and then assigning those costs to products, and is calculated by dividing total overhead cost by total number of activities and multiplying by the number of activity units associated with the activity.

Activity-based costing (ABC) is a costing method that assigns costs to activities within an organization, and then assigns the cost of those activities to products. The goal of ABC is to more accurately assign overhead costs to products or services. ABC begins by assigning a cost to each activity based on the cost of the resources used to complete the activity. This is normally done by gathering cost data from different departments and then assigning overhead costs to each activity.

For example, the formula for activity-based costing is:

Activity Cost = (Total Overhead Cost / Total Number of Activities) x Number of Activity Units

For example, if a company has total overhead costs of $100,000 and 10 different activities, the cost for each activity would be $10,000. If one of those activities had 10 units associated with it, the cost of that activity would be $1,000 (or $10,000/10 x 10).

Once the cost of each activity is determined, the cost of the activity can be assigned to the products or services that use the activity. This allows the company to better understand the cost associated with each product or service. By understanding the costs associated with each product and service, the company can better manage the costs associated with producing and selling their products.

Activity-based costing is a method of assigning overhead costs to activities and then assigning those costs to products, and is calculated by dividing total overhead cost by total number of activities and multiplying by the number of activity units associated with the activity.

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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:

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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Answer:

image 2

1. SSS

2. AAS

3. SAS

Q is not isomorphic to the dihedral group D4 because the dihedral group D4 is abelian, while Q is not.

(a) The full 8 × 8 multiplication table for Q is as follows:

1    i    j    k    -1   -i   -j   -k

1    i    j    k    -1   -i   -j   -k

i    -1   k    -j   -i   1    -k   j

j    -k   -1   i    -j   k    1    -i

k    j    -i   -1   -k   -j   i    1

-1   i    j    k    1    -i   -j   -k

-i   -1   -k   j    i    1    k    -j

-j   k    1    -i   j    -k   -1   i

-k   -j   i    1    k    j    -i   -1

(b) The inverse of each element of Q is as follows:

1: 1

i: -i

j: -j

k: -k

-1: -1

-i: i

-j: j

-k: k

(c) The order of each element of Q is as follows:

1: 1

i: 4

j: 4

k: 4

-1: 2

-i: 4

-j: 4

-k: 4

(d) The conjugacy classes of Q are as follows:

{1}, {-1}, {i, -i}, {j, -j}, {k, -k}.

(e) One way to see that Q is not isomorphic to the dihedral group D4 is that the dihedral group D4 is abelian, while Q is not.

Q is not isomorphic to the dihedral group D4 because the dihedral group D4 is abelian, while Q is not.

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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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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 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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Answer:

Hotdogs = 25    Chili dogs = 28

I believe it correct

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: 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:

no they are not similar

Step-by-step explanation:

Answer:

SAS

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

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:

Likely.

Step-by-step explanation:

so easy that is

or you need explanation?

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 system of equations that represent this situation is given as follows:

The variables for the system of equations are given as follows:

The total weight is of 120 kg, hence the first equation is given as follows:

d + m = 120.

Her recipe calls for twice the amount of dark chocolate as milk chocolate, hence the second equation is given as follows:

d = 2m.

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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 total number of DVDs ordered after m months since the beginning of the year.

The antiderivative of the rate of change of DVD orders can be represented by the general equation: S(m) = 500m^2/2 + 8m + C. To calculate the antiderivative, we first need to find the integral of the function. We can do this by multiplying the rate of change by the differential of m, which is just dm. This gives us 500m^2/2 + 8m, which is our integrand. Finally, we integrate this expression with respect to m to get our desired antiderivative. This gives us 500m^2/2 + 8m + C, where C is the constant of integration. This equation represents the total number of DVDs ordered after m months since the beginning of the year.

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The linear function that best models line l is given as follows:

F. x = 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the parameters are given as follows:

For a vertical line, the slope is undefined, hence the function is given as follows:

x = c.

The function in this problem has a x-coordinate of 4 for all values of y, hence it is defined as follows:

x = 4.

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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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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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Answer:

C

Step-by-step explanation:

morgan = x

megan = x+3

marie = x+2

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