21 + [36/(12 - 6) + 2 - 5]x 3=

The value of x is in the solution set of 4x - 12 ≤ 16+8x is x ≥ -7.

Given inequality:

⇒ 4x - 12 ≤ 16+8x

rearranging the like terms

4x - 8x - 12 ≤ 16

4x - 8x ≤ 16+12

-4x ≤ 16+12

-4x ≤ 28

divide by 4 on both sides

-4x/4 ≤ 28/4

-x ≤ 28/4

-x ≤ 7

x ≥ -7.

Therefore the value of x is in the solution set of 4x - 12 ≤ 16+8x is x ≥ -7.

Learn more about the solution set here:

https://brainly.com/question/11988499

#SPJ4

Answer:

Angle F = m∠C = 20°

Angle E = m∠B = 70°

AC = 11.3 cm

DF = 5.6 cm

DE = 2.0 cm

Step-by-step explanation:

Answer: a. $12, b. $12, c. $13, d. $12

Step-by-step explanation:

a. 1+1+1+1+1+1 = 6, 2+2+2=6, 6+6=12

b. 1+1+1+1=4, 2+2+2+2=8, 4+8=12

c. 1+1+1+1+1=5, 2+2+2+2=8, 5+8=13

d. 1+1+1+1+1+1+1+1=8, 2+2=4, 8+4=2

Answer:

They are equal so 2 pairs of corresponding angles

Step-by-step explanation:

Answer:

90

Step-by-step explanation: becuse i estimated

Answer:

Step-by-step explanation:http://www.warrenhills.org/cms/lib/NJ01001092/Centricity/Domain/350/mgm_c2_ch8_ret_tr.pdf

The side opposite to angle Y is the longest, and angle Y is the largest angle in triangle XYZ. So, the angles can be ordered from greatest to least as follows:

angle Y > angle Z > angle X.

What is triangle ?

A triangle is a three-sided polygon, or a closed two-dimensional shape with three straight sides and three angles. The sum of the angles in a triangle always adds up to 180 degrees. The sides of a triangle can be of different lengths, and the angles can be acute (less than 90 degrees), right (equal to 90 degrees), or obtuse (greater than 90 degrees).  

To order the angles from greatest to least in triangle XYZ, we need to determine which side is the longest. By the Law of Cosines, we know that:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

where c is the side opposite to angle C, and a and b are the other two sides.

So, let's calculate \(c^2\) for each angle:

For angle X: \(c^2 = 25^2 + 27^2 - 2(25)(27)*cos(X)\) ≈ 173.65

For angle Y: \(c^2 = 24^2 + 27^2 - 2(24)(27)*cos(Y)\) ≈ 267.43

For angle Z: \(c^2 = 24^2 + 25^2 - 2(24)(25)*cos(Z)\) ≈ 121.97

Therefore, the side opposite to angle Y is the longest, and angle Y is the largest angle in triangle XYZ. So, the angles can be ordered from greatest to least as follows:

angle Y > angle Z > angle X

To know more about triangle visit:

https://brainly.com/question/1058720

#SPJ1

The probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.

The Poisson distribution is a probability distribution that describes the number of events occurring in a fixed time interval, given the average rate at which events occur and the independence of events. In this case, the average rate of calls is 3 calls per hour.

The probability of receiving exactly 6 calls next hour can be calculated using the Poisson probability formula:

\(P(X = 6) = (e^(-λ) * λ^6) / 6!\)

where λ is the average rate of calls, e is the base of the natural logarithm, and 6! is the factorial of 6.

Substituting the values, we get:

\(P(X = 6) = (e^(-3) * 3^6) / 6! ≈ 0.090\)

Therefore, the probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.l

Learn more about the probability

https://brainly.com/question/30034780

#SPJ4

The probability that the secretary will receive 6 calls next hour is approximately 0.0504, or 5.04%

To calculate the probability that the secretary will receive 6 calls next hour, given that the average is 3 calls per hour

and the Poisson distribution applies, follow these steps:

Identify the given information: λ (average calls per hour) = 3, k (number of calls to calculate the probability for) = 6.

Use the Poisson probability formula:

P(k) =\((e^{(-\lambda)} \times\lambda^k) / k!,\)

where P(k) is the probability of k calls,

e is the base of the natural logarithm (approximately 2.71828),

λ is the average rate (3 calls per hour), and

k! is the factorial of k (6 in this case).

Calculate \(e^{(-\lambda)}: e^{(-3)} = 0.04979.\)

Calculate \(\lambda^k: 3^6 = 729.\)

Calculate k!: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.

Substitute these values into the formula: P(6) = (0.04979 × 729) / 720 ≈ 0.0504.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

Jebb is 6 feet 4.5 inches tall.

What is height?

The distance between the bottom and top of an object or person is a measurement of its height.

Height, altitude, and elevation all refer to the vertical distance, either between the top and bottom of something or between its base and something above it. Height is a term for something that can be high or low and is measured vertically.

Given: Jebb is the tallest player on the basketball team.

He is 1 1 /2 times as tall as the shortest girl in the sixth grade, who is 4 1 /4 feet tall.

Here

1 1/2 times 4 1/4

change to improper fractions

\(1\frac{1}{2} = \frac{(2)(1)+1}{2}= \frac{3}{2}\)

\(4\frac{1}{4}= \frac{(4)(4)+1}{4} = \frac{17}{4}\)

⇒  1 1/2 times 4 1/4  is (3/2)*(17/4)

\(\frac{3}{2}(\frac{17}{4})=\frac{51}{8}\)

Convert 51/8 into improper fraction.

\(\frac{51}{8} = 6\frac{3}{8}\)  feet tall.

3/8 of 12 inches is,

\(\frac{3}{8}(12) = \frac{36}{8}\)

Convert 36/8 into improper fraction

\(\frac{36}{8} = 4\frac{4}{8}\)  inches

Here 4/8 = 0.5

⇒ \(4\frac{4}{8} = 4.5\)

Hence, Jebb is 6 feet 4.5 inches tall.

To know more about height, click on the link

https://brainly.com/question/73194

#SPJ4

Answer:

Step-by-step explanation:

Since they both contain 2y we can just subtract the second from the first to eliminate y

4x+2y-3x-2y=6-1

x=5, since 4x+2y=6 we have

4(5)+2y=6

20+2y=6

2y=-14

y=-7

So the solution point (x,y) is (5,-7)

Answer:

Step-by-step explanation:

12-7+3

Statement number 3 looks good to me im not sure but to me it looks good.

12-3+7~I don't think the answer would change...

Hope this helps pls give brainliest if u could Tysm if u do!

Answer:

The expression is equivalent to 12 minus (7 + 3) because of the associative property.

Step-by-step explanation:

Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

Answer:

The coordinates of the midpoints are (3/2, 1/2)

Step-by-step explanation:

To  find the midpoint you must se the midpoint formula. Using this formula, when you plug in the points given and you simplify, you find out the midpoint is the coordinates (3/2, 1/2). I hope this helps!

Answer:

A)

B)

H)

I)

Step-by-step explanation:

let me know if needed

Answer:

-4 and 0

Step-by-step explanation:

Rise over Run would give us the slope.

In the first graph, It goes down 4 while it goes 1 to the right.

This means that -4/1 = -4.

The second graph does not go up or down, meaning 0, while it goes 1 to the right.

This means that 0/1 = 0.

By using the Cauchy-Riemann equations on a real-valued function, it can be proven that the function f(z) is constant in the domain D. This is important for understanding analytic functions in complex analysis.

To prove that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D, let a function f be analytic everywhere in a domain D. We know that a real-valued function is said to be a function whose values lie on the real line. In the case of the complex plane, a function whose values lie on the real line is real-valued.

The Cauchy-Riemann equations, which define the necessary conditions for a function f(z) to be analytic in a domain, say that the imaginary component of f(z) is determined by its real component.

To be more precise, if f(z) is real-valued for all z in D, then we can say that:u(x, y) = f(z),v(x, y) = 0

By definition, the Cauchy-Riemann equations can be stated as:

∂u/∂x = ∂v/∂y∂u/∂y = -∂v/∂x

Taking the first equation, we get:

∂u/∂x = ∂v/∂y => ∂v/∂y = 0

Since v is equal to 0 for all values of x and y, the above equation reduces to ∂u/∂x = 0, which implies u is constant with respect to x.

Similarly, taking the second equation, we get:

∂u/∂y = -∂v/∂x => ∂u/∂y = 0

Since u is equal to a constant for all values of x and y, the above equation reduces to ∂v/∂y = 0, which implies v is constant with respect to y. Since u and v are both constant with respect to their respective variables, u + iv = f(z) is a constant with respect to z throughout the domain D. Thus, we have proved that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D.

To know more about the Cauchy-Riemann equation: https://brainly.com/question/30385079

#SPJ11

Answer:

28

Step-by-step explanation

28 times 25 is 700

Answer:

28

Step-by-step explanation:

0.65  is the probability that the chosen student eats neither fish nor eggs.

What are examples and probability?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.                  

                                      The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

We know that there is sample of 275 MHS Students

20 are vegetarians

      9 eat both fish and eggs

      3 eat eggs but not fish

      8 eat neither

Total 20

In a table

           FISH FISHc TOTAL

EGGS     9        3       12

EGGSc   1         7        8

TOTAL    10       10      20

P(F U E) = 9 + 3 + 1 / 20 = 13/20 = 0.65

Or

P(F U E) = 10/20 + 12/20 -9/20 = 13/20 = 0.65

Learn more about probability

brainly.com/question/11234923

#SPJ4

(a) Consider the function g(z) = √z. Find g(-1 + i0) and g(-1-10).Since the square root function is continuous except at the origin, we get g(-1 + i0) = √(-1)

= i and g(-1-10)

= √(-1)

= i. 

Therefore, g(-1 + i0) = g(-1-10) = i.

(b) Let fi(z) = √z-1. Calculate fi (x + i0) and f₁(x − i0) in terms of x for x < 1.1) fi(x + i0)

= √(x - 1)2) f₁(x − i0)

= -√(x - 1)

For x < 1,

(c) Let f₂(z) = √z+1. Calculate f2(x + 10) and f2(x - 10) in terms of x for x < -1.1) f2(x + 10)

= √(x + 11)2) f2(x - 10)

= -√(x + 11)For x < -1,

(d) Using your answers from parts (b) and (c), show that f(z) = f1(z)f2(z) has the property f(x + 10)

= f(x - 10) for x < -1.f(x - 10)

= f1(x - 10)f2(x - 10)

= [√(x - 1)][-√(x + 11)]

= -(x - 1)

hence,f(x - 10) = -(x - 1)f(x + 10)

= f1(x + 10)f2(x + 10)

= -√(x + 11)√(x - 9) = -(x - 1)

hence,f(x + 10) = -(x - 1)

Therefore, f(x + 10) = f(x - 10) for x < -1.

(e) Prove that h(z) = z² - 1 has the property h (C\ [-1,1]) CC\(-[infinity],0].

Use this to finally prove that f= √z² - 1 is continuous on C\ [-1,1].

Consider the equation z² - 1 = (z + 1)(z - 1). If z lies in C\ [-1,1], then z + 1 is nonzero and lies in C\ (-∞,0].

Also, z - 1 is nonzero and lies in C\ [0,∞). Thus, h(C\ [-1,1]) ⊆ C\(-∞,0].

Since the square root function is continuous on C\(-∞,0], it follows that f = √z² - 1 is continuous on C\ [-1,1].

Hence, the required solution is obtained.

To know more about function visit :-

https://brainly.com/question/11624077

#SPJ11

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

To know more about outlier refer here:

https://brainly.com/question/26958242#

#SPJ11

for a normal distribution, assume the 'population' standard deviation is 7.7. .645 * 7.7 / √(n) is the maximal margin of error associated with a 90% confidence interval for the true population mean if n

The margin of error is calculated as

Margin of Error = Critical Value * Standard Deviation / √(Sample Size)

= 1.645 * 7.7 / √(n)

= 1.645 * 7.7 / √(n)

The margin of error is a measure of the accuracy of an estimate based on a sample from a population. It is calculated by taking the critical value (1.645, for a 90% confidence interval) multiplied by the population standard deviation (7.7), divided by the square root of the sample size (n). The higher the sample size, the smaller the margin of error. This means that a larger sample size gives a more accurate estimate of the true population mean.

Learn more about standard deviation here

https://brainly.com/question/13905583

#SPJ4

Answer:

x square minus

Step-by-step explanation:

y=5

Answer:

It's the first one, I just took the quiz on edge.

Answer:

\(\mathbf{6xe^xy+y^2e^x = C}\) which implies that C is the integrating factor

Step-by-step explanation:

The correct format for the equation given is:

\(y(6x+y +6)dx +(6x +2y)dy=0\)

By the application of the general differential equation:

⇒ Mdx + Ndy = 0

where:

M = 6xy+y²+6y

\(\dfrac{\partial M}{\partial y}= 6x+2y+6\)

and

N = 6x +2y

\(\dfrac{\partial N}{\partial x}= 6\)

∴

\(f(x) = \dfrac{1}{N}\Big(\dfrac{\partial M}{\partial y}- \dfrac{\partial N}{\partial x} \Big)\)

\(f(x) = \dfrac{1}{6x+2y}(6x+2y+6-6)\)

\(f(x) = \dfrac{1}{6x+2y}(6x+2y)\)

f(x) = 1

Now, the integrating factor can be computed as:

\(\implies e^{\int fxdx}\)

\(\implies e^{\int (1)dx}\)

the integrating factor = \(e^x\)

From the given equation:

\(y(6x+y +6)dx +(6x +2y)dy=0\)

Let us multiply the above given equation by the integrating factor:

i.e.

\((6xy+y^2 +6y)dx +(6x +2y)dy=0\)

\((6xe^xy+y^2 +6e^xy)dx +(6xe^x +2e^xy)dy=0\)

\(6xe^xydx+6e^xydx+y^2e^xdx +6xe^xdy +2ye^xdy=0\)

By rearrangement:

\(6xe^xydx+6e^xydx+6xe^xdy +y^2e^xdx +2ye^xdy=0\)

Let assume that:

\(6xe^xydx+6e^xydx+6xe^xdy = d(6xe^xy)\)

and:

\(y^2e^xdx +e^x2ydy=d(y^2e^x)\)

Then:

\(d(6xe^xy)+d(y^2e^x) = 0\)

\(6d (xe^xy) + d(y^2e^x) = 0\)

By integration:

\(\mathbf{6xe^xy+y^2e^x = C}\) which implies that C is the integrating factor

Answer:

TO place the triangle ABC on EDF flip the triangle so the you get the mirror image of the triangle and then place it on top of the triangle EDF

hope this helps!

Here is how it is graphed:

A "required parameter" requires an assigned value for the argument used to call the method, while "optional parameters" do not need to be included in the method call and have a default value assigned to them.

The type of parameter that requires that the argument used to call the method must have an assigned value is a "required parameter".

Required parameters are parameters that must be included in the method call, and the argument passed for the required parameter must have a value assigned to it. If a required parameter is not included in the method call, or if the argument passed for the required parameter does not have a value assigned to it, an error will be thrown.

In contrast, there are also optional parameters, which are parameters that do not need to be included in the method call. If an optional parameter is not included in the method call, the method will use a default value assigned to the parameter.

In many programming languages, the syntax for specifying required and optional parameters in a method or function call is specified using different symbols, such as parentheses or square brackets.

Learn more about programming languages here:

https://brainly.com/question/22695184

#SPJ4

When calculating a 99% confidence interval with the same sample size (n) compared to a 95% confidence interval, the margin of error will be larger.

Confidence intervals are used to estimate the true population parameter based on a sample. The confidence level represents the probability that the true population parameter falls within the calculated interval. A 95% confidence interval means that there is a 95% probability that the true parameter lies within the interval, leaving a 5% chance of error. Similarly, a 99% confidence interval means that there is a 99% probability that the true parameter falls within the interval, leaving only a 1% chance of error.

To calculate a confidence interval, the margin of error is added and subtracted from the sample statistic (e.g., mean or proportion). The margin of error is influenced by the confidence level and the sample size. A higher confidence level requires a larger margin of error to account for the increased level of certainty.

As the confidence level increases from 95% to 99%, the margin of error also increases. This is because a higher confidence level requires a larger interval to be confident that the true parameter falls within it. Therefore, when calculating a 99% confidence interval with the same sample size (n) compared to a 95% confidence interval, the margin of error will be larger to accommodate the increased level of confidence.

Therefore, the margin of error will be larger when calculating a 99% confidence interval instead of a 95% confidence interval with the same sample size (n).

To learn more about confidence interval here:

brainly.com/question/24131141#

#SPJ11

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

To learn more about fraction, click here: brainly.com/question/28372533

#SPJ11

Answer: The integral of the function y = cos(x) from x = k to x = π/2 represents the area under the curve of the function between those limits. We can evaluate this integral as follows:

∫[k, π/2] cos(x) dx = sin(k) - sin(π/2) = sin(k) - 1

We are given that this area is 0.1, so we can write:

0.1 = sin(k) - 1

Adding 1 to both sides gives:

1.1 = sin(k)

To solve for k, we take the inverse sine (or arcsine) of both sides, keeping in mind that k is between 0 and π/2:

k = arcsin(1.1)

However, arcsin(1.1) is not a real number since the sine function is only defined between -1 and 1. Therefore, there is no value of k that satisfies the given conditions.

Step-by-step explanation:

In the second triangle

since the 75 is on straight line so we are going to get the and next to it by 180-75=105

since the two sides of the triangle are equal so its isosceles triangle so 180-105=75

then we will divide the 75

75÷2=37.5 so x=37.5

Answer:

x = 37.5°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the angle on the straight line adjacent to the angle 75° is:

⇒ 180° - 75° = 105°

The two smaller triangles inside the larger right triangle are isosceles triangles as they each have two congruent sides.

The triangle with angle x as one of its base angles (shown in red on the attached diagram) has a vertex angle of 105°.

Interior angles of a triangle sum to 180°. Therefore:

⇒ x + x + 105° = 180°

⇒ 2x = 75°

⇒ x = 37.5°