Let: U = {a,b,c,d,e,f,g,h} A = {a,c,f} B = {b,c,f} C = {b,d,e,g,h} Determine the (A∩C). A. (A∩B) ∪ (A∩C) = m ​B. (A∩B) ∪ (A∩C) is the empty set.

Answer:

12

Step-by-step explanation:

20-8=12

The margin of error is defined as follows:

M = 1.9z/sqrt(n).

In which:

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The margin of error is then given as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

The problem is incomplete, hence the general procedure to obtain the sample size was presented.

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Answer:

7/48

Step-by-step explanation:

First, you would find common denominator

1/12 + 1/16 = 1*4/12*4 + 1*3/16*3 = 4/48 + 3/48 = 7/48

or

Add 4/48 + 3/48 = 4+3/48= 7/48

Answer: B. 1/6

Step-by-step explanation:

To find the scale factor from triangle ABC to triangle DEF, you can divide each side length by its corresponding side on the other triangle.

72 ÷ 12 = 6

42 ÷ 7 = 6

66 ÷ 11 = 6

Now, the options are narrowed down to either B or C. Since the dilation shown reduces the size of triangle ABC to triangle DEF, it is a reduction. Therefore, the scale factor must be a fraction, leaving the only correct answer to be choice B.

I hope this helps!

Answer:

1/6

Step-by-step explanation:

There are 6 CD

P( song from 6th ) = number of CD's that are 6th/ total

                                = 1/6

Answer:

Step-by-step explanation:

We are interested in the last two columns.

If we compare them we see that each value of the distance column is the absolute value of corresponding value of difference:

Corect choice is C

Answer:

The distance is the absolute value of the difference.

Step-by-step explanation:

Given table:

\(\begin{array}{|c|c|c|c|c|}\cline{1-5} a & b & a+b & a-b & \sf distance\\\cline{1-5} 1 & 2 & 3 & -1 & 1 \sf \: unit\\\cline{1-5} 4 & -1 & 3 & 5 & 5 \sf \: units\\\cline{1-5} -6 & -3 & -9 & -3 & 3 \sf \: units\\\cline{1-5}\end{array}\)

The difference is column 4.

The distance is column 5.

The absolute value of a number is its positive numerical value.  It is denoted by a vertical line either side of the real number.

For example, |5| means 'the absolute value of 5', and |-5| means 'the absolute value of -5'.

Taking the absolute values of the differences:

⇒ |-1| = 1

⇒ |5| = 5

⇒ |-3| = 3

Therefore, the distance is the absolute value of the difference.

Answer:

you hold the bowl with your thumb on the rim and then support it on the side with the rest of your fingers

Step-by-step explanation:

plz vote brainliest

Answer:

A

Hope this helps

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Following y=mx+c

Gradient=-1/2

Y-intercept=-2

y=-1/2x-2

Answer:

15pi (irrational), -2\(\sqrt{7}\) (rational), -77.33 (rational), -\(\sqrt{9}\) (rational), -39.93 (irrational)

Step-by-step explanation:

15pi - irrational because remember pi is irrational.

-2 square root 7 - rational because it gives a terminating decimal.

-77.33 - rational, as it gives a terminating decimal.

-39.93 - irrational as the line above it, means it never ends.

Answer:

\((-\infty,2)\)

Step-by-step explanation:

Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

DCE

Step-by-step explanation:

you multiply

Algebraic expressions of the total amount of money spent by consumers for any number of Edge Control products is 0.45e.

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given data as :

The selling specialized Edge Control product that sold for $0.45 each

The providing a more accurate expression is one that multiplies e by how much was spent on each one.:

⇒  (0.45)(e)

⇒  0.45e

Hence, the algebraic expressions of the total amount of money spent by consumers for any number of Edge Control products is 0.45e.

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Nave Corporation's manufacturing cycle efficiency (MCE) for its elevators is approximately 27.27%.

To calculate the manufacturing cycle efficiency (MCE) for Nave Corporation's elevators, we need to determine the ratio of value-added time to the total lead time.

Value-added time refers to the time spent on activities that directly contribute to the production or customization of the elevators, while lead time refers to the total time from order placement to installation.

Given the breakdown of time:

12 days for manufacturing and customization

5 days for waiting or non-value-added time

The value-added time is 12 days, and the total lead time is 44 days.

To calculate MCE, we divide the value-added time by the total lead time and multiply by 100 to express it as a percentage:

MCE = (Value-added time / Total lead time) x 100

MCE = (12 / 44) x 100

MCE = 27.27%

Therefore, Nave Corporation's manufacturing cycle efficiency (MCE) for its elevators is approximately 27.27%.

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Option 3 yielded the most money after 10 years is 171.7

Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

A solution of an equation is a value or set of values that satisfy the equation, meaning that when the value(s) is substituted for the variable(s) in the equation, both sides of the equation are equal.

Based on the given equations, Option 1 yielded the most money after 10 years, and Option 3 yielded the most total money by the time you were 60 years old.

After 10 years:

Option 1: 50×(1.09)¹⁰ - 30 =  88.36

Option 2: 50×(1.08)¹⁰ - 20 =  87.94

Option 3: 100×(1.07)¹⁰ - 25 =  171.71

Therefore, Option 3 yielded the most money after 10 years is 171.7

By the time you were 60 years old:

Option 1: 50×(1.09)⁶⁰ - 30 =  8,771.56

Option 2: 50×(1.08)⁶⁰ - 20 =  5,042.85

Option 3: 100×(1.07)⁶⁰ - 25 =  5,769.64

Therefore, Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

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The value of the product of the two decimal numbers is 35.2772 which is closest to 36 of all the given numbers.

The outcome of multiplication or an expression that specifies factors to be multiplied is a product.

The two numbers are 11.72 and 3.01

To multiply this two decimal numbers we will use the fraction property.

11.72 can be written as  \(\frac{1172}{100}\) and 3.01 can be written as  \(\frac{301}{100}\)

So the product of 11.72 and 3.01 is written as

\(=\frac{1172}{100}\times\frac{301}{100}\\\\\\=\frac{352772}{10000}\)

= 35.2772

This number in decimal can be estimated to 36 because it is closest to the given options.

Hence the product is approximately 36.

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The equation of a line that passes through two points is given by:

Plugging the values of the points given we have:

Therefore, the equation of the line is:

Answer:

A if I'm wrong I apologize

The solution for all three is mathematically given as

Generally, the equation for students taking only PE and not Bio and Eng is  mathematically given as

P(PBE)= 28 – (5+6+4)

= 28 - 15

= 13

Students taking only Bio and not PE and Eng

P(BP)= 31 – (5+4+2)

= 31 - 11

= 20  

Students who are merely studying English and are not also taking Bio and PE

P(EP)= 42 – (6+4+2)

= 42 - 12

= 30  

Now, students who have taken three different classes

P(3)= 100 - ( 13 + 5 + 4 + 20 + 2 + 30 + 6 )

= 100 - 80

= 20

In conclusion, Students who have taken BIO and PE but not ENG will get a = 5 for their efforts.

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The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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Answer:

$1469

Step-by-step explanation:

diameter of deck = 12 m

diameter = 2*radius

thus

12 m = 2*radius

radius = 12m / 2 = 6 m

area of circle is given by \(\pi r^{2}\)

where r is the radius

thus, area of given deck with radius = 12 m

\(\pi r^{2} = 3.14*12^{2} \\=> 3.14*144 = 452.16\)

Thus, area of given deck is 452.16 meter square

given

The cost of the wood stain is $3.25 per square meter

cost of 1 meter square wood stain =  $3.25

since we have to find to stain the entire deck which has area 452.16 meter square , we multiply both side of equation by 452.16

cost of  452.16 meter square wood stain =  $3.25*452.16 = $1469.25

Thus,

it will cost $1469 to the nearest dollar for   Emma to stain the entire deck

Answer:

7 schools have fewer than 50 classrooms.

The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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Answer:

Step-by-step explanation:

The absolute value equation in vertex form, given by: y = a|x – h| + k

where:

(h, k) = vertex

a  = determines whether the graph opens up or down. If a > 1, the graph opens up. If a < 1, the graph opens down.

h = determines how far left or right the graph is translated.

k = determines how far up or down the graph is translated.

The absolute value inequalities are graphed the same way as graphing the absolute value equations.  

Given the absolute value inequality, y ≤ - ⅔ |x - 3| + 4

where:

a = - ⅔

h = 3

k = 4

In reference to the definitions provided in this post, the vertex is (h, k). In the given inequality statement, the vertex occurs at point (3, 4).  Given the value of a = - ⅔, it means that the graph opens down. To find other points on the graph, we can solve for the intercepts.

The y-intercept is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0.  

To solve for the y-intercept, set x = 0:

y = - ⅔ |0 - 3| + 4

y = - ⅔ |- 3| + 4

y = - 2 + 4

y = 2  ⇒ y-intercept:  (0, 2).

The x-intercept is the point on the graph where it crosses the x-axis. It is also the value of x when y = 0.  

To solve for the x-intercept, set y = 0:

0 = - ⅔ |x - 3| + 4

0 - 4 = - ⅔ |x - 3| + 4 - 4

-4 = - ⅔ |x - 3|

-4 (3) =  (- ⅔ |x - 3| ) (3)

-12 = -2 |x - 3|

Divide both sides by -2:

\(\frac{-12}{-2} = \frac{-2 |x - 3| }{-2}\)

|x - 3| = 6

Apply absolute rule:

x - 3  = 6  or  x - 3 = - 6

x - 3 + 3 = 6 + 3    or  x - 3 + 3 = - 6 + 3

x = 9 or  x = -3

Therefore, the x-intercepts are:  (-3, 0) and (9, 0).

You now have the following points to plot on the graph:

vertex: (3, 4)

y-intercept:  (0, 2)

x-intercepts:  (-3, 0) and (9, 0).

You could easily connect these points with lines.  In graphing the boundary line, you will use a solid line due to the inequality symbol, "≤."  

The last step involves shading the appropriate half-plane region. In order to do this, choose a test point that is not on the boundary lines.  We can choose point, (0, 0). Substitute these coordinates into the absolute value inequality. If it provides a true statement, then you'll shade the region that contains that test point.

Test point: (0, 0)

y ≤ - ⅔ |x - 3| + 4

0 ≤ - ⅔ |0 - 3| + 4

0 ≤  \(-\frac{2|0 - 3|}{3} + 4\)

0 ≤  \(-\frac{|- 6|}{3}\)  + 4

0 ≤ - 2 + 4

0 ≤ 2 (True statement. Shade the region where (0, 0) is included).

Attached is a screenshot of the graphed absolute value inequality.  

Answer:

The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 925 and a standard deviation of 60 degrees.

This means that \(\mu = 925, \sigma = 60\)

The proportion of bricks that crack during the firing process is closest to

This is 1 subtracted by the pvalue of Z when X = 1150. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{1150 - 925}{60}\)

\(Z = 3.75\)

\(Z = 3.75\) has a pvalue of 0.9999

1 - 0.9999 = 0.0001

The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.

Answer:

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Solution:

Consider the following expression:

in this form, remember that the base is b and the exponent is y. Then, the exponential form would be:

So that, the correct answer is:

The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.

Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:

(90%)^5 = (0.9)^5 = 0.59049.

The correct answer is therefore (d) 0.59.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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