Express x% of 6 plus y%of 6 as a percentage of 11.

The right triangle having the hypotenuse has x = 17.88.

Since a right triangle's three interior angles always add up to 90 degrees and a triangle's three interior angles always add up to 180 degrees, the other two interior angles must also always add up to 90 degrees (they are complementary).

Hypotenuse refers to the side across from the right angle. The legs are the sides extending from the right angle. If applying the Pythagorean Theorem, the hypotenuse or its length is frequently denoted with a lowercase c. A and B are typically used to denote the legs' lengths.

Using trigonometry rule

Cos 33° = 15/x

x = 17.88

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Answer:

x=3

Step-by-step explanation:

3x=9

Divide both sides by 3 and you get 1x=3 or basically x=3.

So the answer would be x=3.

The value of x is given as follows:

x = 22.

Similar polygons are polygons that share these two features presented as follows:

The two triangles in this problem are similar, hence the proportional relationship for the side lengths is given as follows:

x/18 = 11/9

9x = 11 x 18

x = 11 x 2

x = 22.

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Answer:

90° clockwise

Step-by-step explanation:

90 degrees clockwise

when you rotate counterclockwise 270 degrees, (x,y) maps to (y,-x)

Hope this helps :-)

Answer:

0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either it was a minority, or it was not. The probability of a person being a minority is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Jury of 90 people:

This means that \(n = 90\)

27% were minorities.

This means that \(p = 0.27\)

Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected.

This is:

\(P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{90,0}.(0.27)^{0}.(0.73)^{90} \approx 0\)

\(P(X = 1) = C_{90,1}.(0.27)^{1}.(0.73)^{89} \approx 0\)

\(P(X = 2) = C_{90,2}.(0.27)^{2}.(0.73)^{88} \approx 0\)

\(P(X = 3) = C_{90,3}.(0.27)^{3}.(0.73)^{87} \approx 0\)

\(P(X = 4) = C_{90,4}.(0.27)^{4}.(0.73)^{86} \approx 0\)

\(P(X = 5) = C_{90,5}.(0.27)^{5}.(0.73)^{85} \approx 0\)

\(P(X = 6) = C_{90,6}.(0.27)^{6}.(0.73)^{84} \approx 0\)

\(P(X = 7) = C_{90,7}.(0.27)^{7}.(0.73)^{83} = 0.000004\)

So

\(P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 7*0 + 0.000004\)

0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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The scenarios that can be considered a seller-based discount are:

A. The offer by Wire and Cable

B. Carfna's Fine Foods

C. Mouser Electronics offer

E. Carchex Car Maintenance

A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.

The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.

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Answer:

2

Step-by-step

explanaI guessed to borring for me

Answer: Your answer will be 2

Step-by-step explanation: I did the k12 quiz here's proof

The description of the location of point P which is shown on the given number line is 1.666  or -5 / 3.

First, let us understand the least count used for scaling;

The least count of an instrument is the smallest measurement that can be taken accurately with it. For example, if a scale has 10 divisions between the marks 1 and 2, then its least count is 1/10 = 0.1 or it can measure up to the value 0.1 accurately.

For the given number line the division between -2 and -1 is 3.

So, the least count or each division will represent -1 / 3.

From the scratch (or 0), P is the fifth division, so;

P = (- 1/3) * 5

P = - 5/3

or

P = - 1.6666...

Thus, the description of the location of point P which is shown on the given number line is 1.666  or -5 / 3.

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By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The  four steps you must take to ensure your safety as a rescuer as well as the safety and survival of the victim are:

Emergency Medical Services (EMS) can be defined as the health care officers that rendered emergency medical help to a victim before the person is been taking to the hospital for proper health care.

It is important that a rescuer ensure their own safety as well as the safety of the victim by  contacting the EMS , surveying the scene  as well as by conducting both secondary and primary survey of the affected person.

Therefore the rescuer should contact the Emergency Medical Services.

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Answer:

Step-by-step explanation:

The answer is 56.

Answer:

The tree house is 8 feet off the ground, or 96 inches up because (8)(12) = 96. Each knot needs 2 extra inches, so the expression for the length of rope needed is 96 + 2n. If n = 8, then Peter will need 96 + 2(8) = 112 inches of rope.

Step-by-step explanation:

edge

Answer:

a

Step-by-step explanation:

a) The value of x is 21

b) The value of the expression is 135.

c) The value of the expression is 135.

Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:

5*(x + 6) = 9*(x - 6)

We can solve that linear equation for x:

5x + 30 = 9x - 54

30 + 54 = 9x - 5x

84 = 4x

84/4 = x

21 = x

Then the measures of the angles are:

a1 = 5*(21 + 6) = 135°

a2 = 9*(21 - 6) = 135°

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Answer:

280

Step-by-step explanation:

when you estimate your problem becomes 4x70 so the answer is 280

The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

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The powers, (index) and coefficients of the polynomial indicates;

(A) The standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6

(B) 4

(C) Positive zeroes; 2 or 0, negative zeroes; 0 or 2, complex zeroes; 0 or 2 or 4

(D) ±1/2, ±1, ±3/2, ±2, ±3, ±6

(E) Please find attached the graph of the polynomial created with MS Excel

(F) Four complex roots

A polynomial is a mathematical expression that consists of variables and coefficients joined together by addition, subtraction and multiplication, with the exponents of the variables consisting of positive integer values.

Part A) The polynomial in standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6

Part B) The degree of the polynomial is 4, as the highest power of the polynomial is 4

Part C) The use of the Rule of Signs, to determine the options for the number of positive zeroes, negative zeroes and complex zeroes, can be presented as follows;

Positive zeroes options; The number of time the signs coefficients of the expression; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6, changes are two as follows;

+6 to -12, and from -12 to +9, therefore, the number of possible positive zeroes are 2 or 0, positive zeroes

The negative zeroes options; The negative zeroes options can be found by changing the sign of all the coefficients as follows; -2·x⁴ - 3·x³ - 9·x² + 12·x - 6, therefore, the number of times the sign of the coefficients change are again from -6 to +12, and from +12 to -9, which is 2 times, therefore;

The possible number of negative zeros are 2 or 0, negative zeroes

Whereby there are possibly 0 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 4

Whereby there are 2 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 2 complex zeroes

Whereby there are possibly 0 negative zeros and 2 positive zeroes, the possible number of complex zeroes are 2 complex zeroes

Part D) The rational roots theorem indicates that for a polynomial the rational roots are in the form p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.

The constant term is 6, and the leading coefficient is 2. The factors of 6 are ±1, ±2, ±3, and ±6 and the factors of 2 are; ±1, ±2 therefore;

p/q = ±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, ±6/2, which can be summarized as; ±1/2, ±1, ±3/2, ±2, ±3, ±6

Part E) Please find attached a screenshot of the graph of the polynomial created with MS Excel

Part F) The attached graph of the polynomial, created with MS Excel, indicates that there are no real zeros of the polynomial, therefore, there are four complex zeroes of the polynomial

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Shear stress, put simply, is the effort of the water to draw the channel surface downstream.

​Additionally known as the "tractive force," shear stress is used in several contexts.

Shear stress, put simply, is the effort of the water to draw the channel surface downstream.

Utilizing the idea of momentum conservation, shear stress is determined.This is a straightforward exercise in plugging in the viscosity definition's formula.

The use of appropriate units is difficult.The link between the fluid's internal shear stress and velocity gradient is known as the viscosity of a fluid.

Water is a Newtonian fluid with a linear relationship:

τ=ηΔVΔy

Equation 1:

where:

τ

Shear stress is

η

viscosity dynamic

At 20 degrees Celsius, water has a dynamic viscosity of 0.00102Pas.

η=0.00102Pa⋅s=0.00102N⋅sm2

Inputs for equation 1 (above):

τ=0.00102N⋅sm2(1.5ms−0)0.1m

=0.0153Nm2

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d. 9

Formula relation:

Answer:

4500

Step-by-step explanation:

250 x 18 = 4500

Answer:

  11.5

Step-by-step explanation:

Coordinate values and side lengths are multiplied by the dilation scale factor. (Angle values remain unchanged.)

  W'X' = (1/4)WX

  W'X' = (1/4)(46) = 11.5

Answer:

30

40 - 5x

Step-by-step explanation:

Caroline is taking test worth 40 points that has 5 points per question.  If she got 2 questions wrong, she would have a score of `30.

2 × 5 = 10

40 - 10 = 30

If Caroline got x questions wrong, she would have a score of 40 - 5x.

Answer:

(6, 0) is located on the x-axis

Explanation:

For a point to be on the x-axis, its y-value must equal 0. (6, 0) has an x-value of 6 and a y-value of 0.

"(0, 5) is located at the origin" is not true because the origin is at (0, 0).

"(0, 5) is located on the x-axis" is not true because its y-value is 5, not 0.

"(6, 0) is located at the origin" is not true because the origin is at (0, 0).

The (6, 0) is located on the x-axis option (C) is correct because the y-coordinate is zero on the x-axis.

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

\(\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|\)

It is given that:

The points are (6, 0) and (0, 5).

After plotting on the coordinate plane,

For a point to be on the x-axis, its y-value must equal 0. (6, 0) has an x-value of 6 and a y-value of 0.

"(6, 0) is located at the origin" is not true because the origin is at (0, 0).

Thus, the (6, 0) is located on the x-axis option (C) is correct because the y-coordinate is zero on the x-axis.

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Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Answer:1/56

Step-by-step explanation:

Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Answer:

4.4 ounces/ 4 ounce (if rounded)

Step-by-step explanation:

There are 16 ounces in a pound, therefore the equation 12/16 will be useful since 16 ounces in a pound can be divided by 12, in conclusion 12/16=0.75 which is how much an ounce costs.

Then you will take $3.30 and divide it by 0.75 to get your answer for how many ounces you can buy for $3.30 which will equal 4.4 ounces but if you were to round it would be 4 ounces

Hope this helps!

1. Find the graph of the parabola attached below

2. Vertex (-4, 2)   Focus (-7/2, 2)  Directrix (x = -9/2)  Endpoints (-7/2, 1) (-7/2, 3)

For the parabola,  x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,

Vertex → (h, k)

In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴  vertex (-4, 2).

focus → (h, k) = (-4, 2); P = 1/2

Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.

∴  Focus is (-4 + p, 2)

(-4 + 1/2, 2) ⇒ (-7/2, 2)

directrix → x = d

Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.

∴ x = -4 - p   ⇒ x = -4 - 1/2

x = 9/2

focal chord endpoints →

The focus of the parabola is (-7/2, 2).

The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.

Therefore, the endpoints of the focal chord are:

(-7/2, 3) and (-7/2, 1).

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Solution

What is the measure of an exterior angle for the regular polygon below:

Number of sides = 8

The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides = 60

Therefore the measure of exterior angle = 45 degrees

Answer: Option B