if each option is equally likely within each category what is the probability that the lego figure does not have blue legs but has a red body?

\(\begin{cases} x = -2 &\implies x +2=0\\ x = 11 &\implies x -11=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +2 )( x -11 ) = \stackrel{0}{y}}\hspace{5em}\stackrel{\textit{now, assuming that}}{a=1}\hspace{3em}1( x +2 )( x -11 ) =y \\\\\\ ~\hfill {\Large \begin{array}{llll} x^2-9x-22=f(x) \end{array}} ~\hfill\)

Answer:

1.75 feet in the blueprints for the width

2 feet in the blueprints for the length

Step-by-step explanation:

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Answer:

14.1 x 2.7

= 141/10 . 27/10

=3807/100

=38,07

Step-by-step explanation:

Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.

To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.

Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.

Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.

Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.

Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.

In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.

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The perimeter of triangle XYZ with the vertices, X(2, 5), Y(10 9), and Z(6, 1), is approximately 24.07 units.

To find the perimeter of the triangle, we need to add up the lengths of all three sides. To do this, we can use the distance formula, which is:

d = √[(x2 - x1)² + (y2 - y1)²]

Using this formula, we can find the length of each side of triangle XYZ:

Side XY:

d = √[(10 - 2)² + (9 - 5)²] = √64 + 16 = √80

Side YZ:

d = √[(6 - 10)² + (1 - 9)²] = √16 + 64 = √80

Side ZX:

d = √[(6 - 2)² + (1 - 5)²] = √16 + 16 = √32

Therefore, the perimeter of triangle XYZ = XY + YZ + ZX = √80 + √80 + √32

Perimeter ≈ 24.07 (rounded to two decimal places)

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The variance of the 290 people contacting the flu, given the probability of contacting the flu, is d) 67.5990

When given the probability in a binomial experiment, and the number of people in the experiment, you can find the variance by the formula:

= Number of subjects in experiment x Probability of contacting the flu x ( 1 - probability of contacting the flu)

Number of subjects in experiment = 290 people

Probability of contacting the flu = 0.37

The variance of the people contacting the flu is:
= 290 x 0.37 x ( 1 - 0.37)

= 290 x 0.37 x 0.63

= 67.5990

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The value of c in the joint probability density function f(x, y) is determined by integrating the function over the entire domain, which results in c = 3/2.

The given joint probability density function is defined for -y ≤ x ≤ y and 0 < y < infinity. To find the constant c, we need to integrate the given function over the given range of x and y and set it equal to 1 (since it is a probability density function).

Integrating f(x,y) with respect to x from -y to y gives c(y^2 - x^2), which can be further integrated with respect to y from 0 to infinity to get 1 = c*(2/3). Thus, c = 3/2.

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As per the linear equation the system has one solution, which is x = 1 and y = 1.

A linear equation is a mathematical expression that represents a straight line. A linear equation has a set of variables, and the coefficients (numbers in front of the variables) are constant.

The reason why most overdetermined linear systems are inconsistent is that there are more restrictions placed on the variables than what is required to find a solution.

It is possible for an overdetermined linear system to have one solution, but this is a rare occurrence.

When an overdetermined system has infinitely many solutions, this means that there are an infinite number of combinations of values that satisfy all of the equations simultaneously.

For example, consider the following system of linear equations:

2x + 3y = 6

4x + 6y = 12

This system is overdetermined because there are two equations and only one variable (x and y). In this case, the system has one solution, which is x = 1 and y = 1.

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The expected value for a student to spend on lunch each day from the survey of 50 students is $5.18.

The expected value for a student to spend on lunch each day is derived from the survey of 50 students. This value is calculated by taking the total number of dollars spent by all of the surveyed students and dividing it by the total number of students surveyed. In this particular survey, the total number of dollars spent was $247, and the total number of students surveyed was 50. Dividing $247 by 50 gives us a value of $4.94. This value is then rounded up to the nearest cent to give us the expected value of $5.18. This expected value is the average amount of money that a student can expect to spend on lunch each day from the survey. It is important to note that this value is an estimate, as individual student spending habits may vary greatly.

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The number of possible ways to choose a pair of socks, then, is 18 x 2 = 36.

Pair is a set of two related items, usually of the same type. For example, a pair of shoes, a pair of gloves, a pair of socks, a pair of jeans, a pair of scissors, or a pair of sunglasses. Pairs are often used in mathematics and statistics, where the two elements are usually referred to as X and Y.

There are 18 possible ways to choose a pair of socks from your drawer: 8 possibilities for choosing a pair of white socks, 6 for brown, and 4 for blue. Given that you have to choose two socks of the same color, you can only choose a pair of socks from one of the three colors, so the total number of ways to choose a pair of socks is 8 + 6 + 4 = 18.

In each case, you have two options to choose from: either choose a matching pair of socks, or choose two different socks of the same color. The number of possible ways to choose a pair of socks, then, is 18 x 2 = 36.

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Answer:

86°

Step-by-step explanation:

40 + x + 54 = 180

-> Move 40 and 54 to the other side by subtracting

x = 180-40-54

x = 86

If you are dealing with a data set that consists of sales with a consistent percentage increase, a multiplicative regression model would be the best method to use.

Multiplicative models are useful when the relationship between variables is not linear, but rather exponential or logarithmic. In the case of sales with a consistent percentage increase, the relationship between sales and time would be multiplicative, because each successive time period's sales would be a multiple of the previous period's sales. Multiplicative models are also useful for dealing with trends that increase or decrease at an accelerating rate, rather than at a consistent rate. In contrast, a simple moving average or a random walk additive regression model would not be appropriate for a data set with a consistent percentage increase, as they assume linear relationships between variables and would not account for the exponential or logarithmic relationship between sales and time.

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The value of the expression 18 + (-3) - (2/5)j - (4/5)j + 4 will be 19 - 1.2 j.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 18 + (-3) - (2/5)j - (4/5)j + 4

Simplify the expression, then we have

⇒ 18 + (-3) - (2/5)j - (4/5)j + 4

⇒ 22 - 3 - [(2 + 4)/5] j

⇒ 19 - (6/5) j

⇒ 19 - 1.2 j

The value of the expression 18 + (-3) - (2/5)j - (4/5)j + 4 will be 19 - 1.2 j.

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The best type of study to make this determination would be an Experimental study.  (C)

In an experimental study, the researcher manipulates one or more variables and measures the effect on another variable. In this case, the variable being manipulated is the new medicine, and the variable being measured is the healing time of the bruise.

By comparing the healing time of bruises treated with the new medicine to those not treated, the pharmaceutical company can determine if their new medicine is effective.

An experimental study (C) is the best choice for this type of research because it allows the researcher to control for other variables that may affect the outcome, such as the severity of the bruise or the age of the patient. This control helps to ensure that any differences in healing time are due to the new medicine and not other factors.

A survey would not be appropriate because it would not allow for the manipulation of variables or the control of other factors.

A simulation would also not be appropriate because it would not involve actual patients or real bruises. An observational study would not be appropriate because it would not allow for the manipulation of variables or the control of other factors.

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Answer:

\(\frac{x^2}{16}-\frac{b^2}{4}=1\)

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

\(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\)

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that  a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

\(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\frac{4^2}{a^2}-\frac{0}{b^2} =1\\\frac{4^2}{a^2}=1\\ a^2=16\\a=\sqrt{16}=4\\ a=4\)

The foci c is at +/-2√5, using c² = a² + b²:

\(c^2=a^2+b^2\\(2\sqrt{5} )^2=4^2+b^2\\20 = 16 + b^2\\b^2=20-16\\b^2=4\\b=\sqrt{4}=2\\ b=2\)

Substituting the value of a and b to get the equation of the hyperbola:

\(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\\\frac{x^2}{16}-\frac{b^2}{4}=1\)

The subtraction problem represented by the fraction model is given above.

Given is a figure as shown in the image.

We can write the fractional problem as -

" A rectangle is divided into eight equal rectangles. Smith colored six of these rectangles. How much percentage fraction of the image is colored."

Therefore, the subtraction problem represented by the fraction model is given above.

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Answer:

  f(x) = -3(x -(-1))² +7

Step-by-step explanation:

You want the equation of the quadratic function that matches the given table.

The first step in solving the problem is to look at the given information. To use the given equation, you need to know the vertex of the function, and its vertical scale factor.

A quadratic function is symmetrical about the line through its vertex. That means we can locate the vertex by looking for x-values where the y-value is the same. The x-value of the vertex is halfway between those x-values.

Here, f(x) = 4 for both x=-2 and x=0. That means the x-value of the vertex is ...

  (-2 +0)/2 = -1

This value of x is in the table, and f(-1) is given as 7. This means the vertex is (-1, 7) and these are the values that go in the two rightmost boxes.

  f(x) = ( )(x -(-1))² + 7

The scale factor in the first box can be found by considering the difference between the f(x) value at the vertex, and the f(x) value at a point that is 1 unit either side:

  ( ) = f(-2) -f(-1) = 4 -7 = -3

The scale factor is -3, so the equation is ...

  f(x) = -3(x -(-1))² +7

Answer:

ujhb ;jenwpfeuw9oytr87w4i4398743203irjfgk

Step-by-step explanation:

frylgbrbbiyebvkhweylirgkhbngiwoerulkhbvlihrfkvbruilefjkvgbwiulrejkfmngvhb jrio;e;jfeir'spgvnjth'\w/to;jnjf';thgbv;trjkvnrtjkgvbv jrkfds,

mvpbinh54utgj['p4\iwujgi5ptjnrtgojltngibklrtjngirglihnir

Answer:

What is the answer Choices? message me and ill answer.

Step-by-step explanation:

Answer:

n = - p - 950,000/6 + 500

Step-by-step explanation:

Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).

To solve this equation, let's break it down component-wise. Given:

E⃗ = 2A⃗ + 3B⃗

We can write the equation in terms of its components:

Ex = 2Ax + 3Bx

Ey = 2Ay + 3By

We are also given the components of vectors A⃗ and B⃗:

Ax = 5

Ay = 2

Bx = -3

By = -5

Substituting these values into the equation, we have:

Ex = 2(5) + 3(-3)

Ey = 2(2) + 3(-5)

Simplifying:

Ex = 10 - 9

Ey = 4 - 15

Ex = 1

Ey = -11

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Fred Meyer's unit Rate: $2.17 per pound.

Costco's unit Rate: $2.10 per pound.

Better Price:​  Costco has the better price for cheddar cheese.

To determine who has the better price for cheddar cheese, let's calculate the unit rate for both Fred Meyer and Costco.

Fred Meyer:

Cheddar cheese is priced at $6.50 for 3 pounds. To find the unit rate, we divide the price by the quantity: $6.50 ÷ 3 pounds = $2.17 per pound.

Costco:

Costco offers 10 pounds of cheddar cheese for $21. To find the unit rate, we divide the price by the quantity: $21 ÷ 10 pounds = $2.10 per pound.

Comparing the unit rates, we can see that Fred Meyer's cheddar cheese is priced at $2.17 per pound, while Costco's cheddar cheese is priced at $2.10 per pound.

Therefore, based on the unit rates, Costco has the better price for cheddar cheese. They offer it at a slightly lower price per pound compared to Fred Meyer. Customers can save $0.07 per pound by purchasing cheddar cheese from Costco instead of Fred Meyer.

However, it's important to note that price isn't the only factor to consider when deciding where to purchase cheddar cheese. Other factors such as location, quality, convenience, and personal preferences should also be taken into account.

Additionally, it's always a good idea to compare prices and consider any ongoing promotions or discounts that might affect the final decision.

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To calculate the probability that the company ships a non-defective resistor, we can use the law of total probability.

Let A be the event that a resistor is non-defective, and let B1, B2, and B3 be the events that the resistor comes from machines B1, B2, and B3, respectively.

We are given the following probabilities:

P(B1) = 2000 / (2000 + 5000 + 3000) = 2/9

P(B2) = 5000 / (2000 + 5000 + 3000) = 5/9

P(B3) = 3000 / (2000 + 5000 + 3000) = 3/9

We are also given the probabilities of non-defective resistors produced by each machine:

P(A|B1) = 0.9

P(A|B2) = 0.8

P(A|B3) = 0.7

Using Bayes' theorem, we can calculate P(B3|A), the probability that a non-defective resistor comes from machine B3:

P(B3|A) = (P(A|B3) * P(B3)) / P(A)

To find P(A), we can use the law of total probability:

P(A) = P(A|B1) * P(B1) + P(A|B2) * P(B2) + P(A|B3) * P(B3)

Plugging in the given values:

P(A) = (0.9 * 2/9) + (0.8 * 5/9) + (0.7 * 3/9)

P(A) = 0.2 + 0.4444 + 0.2333

P(A) = 0.8777

Now, we can calculate P(B3|A):

P(B3|A) = (0.7 * 3/9) / 0.8777

P(B3|A) ≈ 0.2333 / 0.8777

P(B3|A) ≈ 0.2658

Therefore, the probability that a non-defective resistor comes from machine B3 is approximately 0.2658 or 26.58%.

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JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

11. (0.5,0): The landmark located at this point is Ellipse.

12. (3/4,-1/2): The landmark located at this point is Washington Monument.

Answer:

the answer would be ...... x > 5

Answer:

x>5

Step-by-step explanation:

Answer:

x = 90

y = 58

z = 32

Step-by-step explanation:

A straight line is 180.

x = 180 =90 = 90

I looked at the small white triangle on the far right.  I now that the sum of the 3 angles must add up to 180.  I know that one angle is 90.  I can figure out C from the large triangle.

Angle  C is 180 -90 - 32 = 58

I now know 2 of the angle measurements for the small right side triangle:

58 and 90  I subtract these from 180 to find z

180 - 90 - 58 = 32

To find x.  I know that a straight line is 180,  I also know that I have a 90 and a 32 degree angle.  I subtract these from 180

180 - 90 -32 = 58

Answer:

Your answer is x = 90° , y = 58° , z = 32°

Step-by-step explanation:

Looking at that right-angle triangle ABC we know that it has 3 angles that must add up to 180°.

The problem mentions that there is a square the inside the triangle.

Now within the triangle ABC there is 2 triangles and a square inside of it.

This is the information from looking at the triangle.

Angle 32° + x° + y° = 180°

Angle y° + 90° + z° = 180°

Angle x° seems to be perdicular to the triangle so must be 90°

Now we know 2 angles we can solve for angle y°

32° + x° + y° = 180°

32° + 90° + y° = 180°

122° + y° = 180°

y° = 58°

The square's four angle is all 90°. Substitute y to solve for z.

y° + 90° + z° = 180°

58° + 90° + z° = 180°

148° + z° = 180°

z° = 32°

The side which must have the same length as BC is RS.

The correct answer choice is option C.

Given the figure ABCD with a similar figure QRST

If AD = 12 and QT = 12

AB = 8 and QR = 8

Then,

BC = RS

and

CD = ST

Hence, the side corresponding to BC is RS

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The probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is, 0.9192

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 90 inches, and a standard deviation of 14 inches.

z score is given by,

z = (x - μ)/(σ/√n) = (92.8 - 90)/(14/√49) = 2.8/2 = 1.4

The  required probability is,

p(z < 1.4) = 0.9192, by standard normal table.

Hence, the  probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is,  0.9192.

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