with reference to the figure below, find x, y, z, t such that n(U) =50, n(A) = 25, n(B) = 13 and n(A’nB’) = 12


(pls help i’m gonna cry)

Answer: Turning your cell phone off or on silent can help you listen actively because you won't have the urge to look at it unless you hear a little notification.

But honestly, whose question is this, it's so random, and I think everyone can listen with their phones out, because I pay more attention when I'm doing something like on a phone or listening to music.

Step-by-step explanation:

Given that

To find

So, according to the question

We have,

We know that,

Chebyshev's Theorem

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

          [tex]P = 100(1-\frac{1}{k^2} )[/tex]

Chebyshev's Theorem is used to determine that:

For the 1sr item, we have to find k at P = 56,

          [tex]P = 100(1-\frac{1}{k^2} )[/tex]  

          [tex]56 = 100(1-\frac{1}{k^2} )[/tex]

          0.56 = 1 - [tex]\frac{1}{k^2}[/tex]

            [tex]\frac{1}{k^2} = 0.44[/tex]

            k² = 1/0.44

            k = [tex]\sqrt{\frac{1}{0.44} }[/tex]

             k = 1.5  

The bounds are, therefore, within 1.5 standard deviations:

Ages 25 and 65 are both 2 standard deviations away from the mean, so:

Answer:

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The inequality using interval notation is (18, ∝)

The inequality is given as

1/2x − 1 > 7

Add 1 to both sides of the inequality

So, we have

1/2x − 1 + 1 > 7 + 1

Evaluate the like terms

So, we have

1/2x > 8

Multiply through by 2

So, we have

x > 16

Using interval notation, we have

(18, ∝)

Hence, the inequality using interval notation is (18, ∝)

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Answer:

1029

Step-by-step explanation:

d=s*t

s=343m/s

t=3s

=343m/s*3s

= 1029

Answer:

-$90 + $130= $40

Step-by-step explanation:

Im not sure if this is what you were looking for

The total cash due at signing if the dealership requires down payment, security deposit, first month's payment and the acquisition fee at signing  is 2400 + 375 + 500 = 3275

When you buy a car, you don't make monthly payments at the beginning. Plus, you don't care how much the buyout costs when you close the lease, that's after you've had it for two years.

You must take care of the deposit, this is your good faith commitment to the rental car. In addition, you may have to pay a deposit based on your credit, and the acquisition fee is what you would pay a broker or dealer to get the car to you if you wanted it from somewhere else.

Therefore,

2400 + 375 + 500 = 3275

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Step-by-step explanation:

d = number of Delta cars

b = number of Beta cars

s = number of Sigma cars

253 = 11d + 17b + 4s

149 = 5d + 8b + 5s

63 = 3d + 4b + 1s

s = 63 - 3d - 4b

149 = 5d + 8b + 5(63 - 3d - 4b) =

= 5d + 8b + 315 - 15d - 20b = -10d - 12b + 315

-166 = -10d - 12b

-83 = -5d - 6b

83 = 5d + 6b

5d = 83 - 6b

d = (83 - 6b)/5

with these 2 "identities" we are going into the 3rd equation and solve for the third variable (b), followed by solving the first 2 identities :

253 = 11((83 - 6b)/5) + 17b + 4(63 - 3((83 - 6b)/5) - 4b)

1265 = 11(83 - 6b) + 85b + 20×63 - 12(83 - 6b) - 80b

1265 = -(83 - 6b) + 5b + 1260

5 = -83 + 6b + 5b

88 = 11b

b = 8

d = (83 - 6b)/5 = (83 - 48)/5 = 35/5 = 7

s = 63 - 3d - 4b = 63 - 3×7 - 4×8 = 63 - 21 - 32 = 10

7 Delta cars

8 Beta cars

10 Sigma cars

were produced.

The required solution of the given equation is 5.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The given equation is

2x + = x + 5

According to given question we have

Mental Math is an exercise where we solve mathematical equations mentally without the help of a calculator.

To do the bigger or important quantities first. This gives an estimate of the value expected. Such an approach is front end or left to right multiplication.

2x = x + 5

Substract x from both sides we get,

x=5

Therefore, the required solution of the given equation is 5.

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Answer:

n=8/3

Step-by-step explanation:

3n-5=13

3n=8

n=8/3

It should be noted that an algebraic expression will be equal to zero when the difference is between the same expressions.

It should be noted that an algebraic expression simply means the expression that's used to show the relationship between the variables

In this case, the should be noted that an algebraic expression will be equal to zero when the difference is between the same expressions.

An example is illustrated as:

= 2x - 2x

= 0

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When point is rotated 90 degrees counterclockwise about the origin, point (x,y) becomes (-y,x).

We're given

Make the y-coordinate negative:

(4,0)

Switch around the coordinates:

(0,4)

(0,4)

Money earned = $162.50

Explanation:

650 / 4     – You make $4 for every pound sold

= 162.5

Which is $162.50

Answer:

Step-by-step explanation:

all of the angles complete a circle so they must add up to 360 degrees.

230 + 38 + 52 + x = 360

320 + x = 360

x = 40 degrees

As m ∠ COD = 90°, then the angle COD is a right angle.

According to geometry, angles are generated by semirrays with a common point. There are different kinds of angles concerning its measure:

Based on all the information given by the protractor, we find that the measure of the angle AOD is:

m ∠ COD = m ∠ AOD - m ∠ AOC

If we know that m ∠ AOD = 115 ° and m ∠ AOC = 25°, then the measure of the angle COD is:

m ∠ COD = 115° - 25°

m ∠ COD = 90°

As m ∠ COD = 90°, then the angle COD is a right angle.

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Find the value of k the diagram is not to scale

○ 80

○ 36

○ 100

○112

100 is your answer

Answer:

no

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

q² = 1

and 1² = 1 * 1 = 1

4pq² + (-7)pq² +5p

Evaluate for p=7,q=1

(4)(7)(1²)+((−7)(7))(1²)+(5)(7)

(4)(7)(1²)+((−7)(7))(1²)+(5)(7)

=14

Answer:

Step-by-step explanation:

A + 1/6 = 1/6

subtract 1/6 from both sides

A = 0

Answer:

Step-by-step explanation:

it means the rate is 8% and the time is 5 years

Answer: lol

no question that is the station? so there's no question?

ok

Step-by-step explanation:

Answer:

It is 6 since the denominator 3 can be moved to 6 by only multiplying it by 2

Taking into account the definition of Scientific notation,  the correct answer is the first option: the total mass of the paperclips in the box is 4.338×10¹ mg.

Scientific notation is a quick way to represent a number using powers of base 10.

The numbers are written as a product:

a×10ⁿ

where:

Total mass of the paperclips

In this case, you know that:

To know the total mass of the paperclips in the box, you must multiply the number of paperclips in the box by the mass of each paperclip:

7.23×10⁴×6.0×10⁻⁴

To multiply numbers in scientific notation, you multiply the numbers that are not powers of 10 (the numbers previously called "a") and add the exponents of 10.

(7.23×6.0)×10⁴⁻⁴= 43.38×10⁰= 4.338×10¹ mg

Finally, the correct answer is the first option: the total mass of the paperclips in the box is 4.338×10¹ mg.

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Answer: m∠B=53°

Step-by-step explanation:

A property that is inherent in a trapezoid of any kind: the sum of the angles adjoining a side is equal to 180°

Hence,

(32x-1)+(14x-3)=180

32x-1+14x-3=180

46x-4=180

46x-4+4=180+4

46x=184

Divide both parts of the equation by 46:

x=4

m∠B=14x-3

m∠B=14(4)-3

m∠B=56-3

m∠B=53°

The amount saved by repaying the loan early is $831.25

The amount of discount received by purchasing supplies is $3,500

The net amount saved by purchasing supplies rather than repaying loan is $2,668.75

What is ordinary interest?

Ordinary interest is the interest computation that is based on 360-day a  year count rather than 365-day year count, hence, in determining the amount saved by paying $35,000 out of the amount due to Citizens Bank, we time-apportion the interest for 90 days with respect to 360 days not 365 days.

Amount saved in interest=$35,000*9.5%*90/360

Amount saved in interest=$831.25

Using the $35,000 to purchase serving supplies, 10% discount is given off the normal cost of $35,000

Amount saved with discount=10%*$35,000

Amount saved with discount=$3,500

The difference between discount on supplies and interest saved=$3,500-$831.25

The difference between discount on supplies and interest saved=$2,668.75

The other factors to consider before making the final decisions include, the fact the loan is more important than the supplies because the loan relates to the firm's financing rather than operational needs of supplies

Secondly, the amount saved in interest may be more if another loan of $35,000 can be borrowed elsewhere with significant lower interest rates

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I think the answer is B, the one with a complete line and shaded to the bottom

The solution to the system of linear equations is (x, y) = (7, 3).

Herein we find that the coordinates of the midpoint and part of the coordinates of the ends of the line segment are known. We must determine the values of the missing coordinates by the midpoint formula:

0.5 · (x, 7) + 0.5 · (-1, y) = (3, 5)

Which is equivalent to the system of linear equations:

0.5 · x - 0.5 = 3               (1)

3.5 + 0.5 · y = 5              (2)

The solution to the system of linear equations is (x, y) = (7, 3).

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Step-by-step explanation:

In maths, Conjugates are defined as a pair of binomials with identical terms but parting opposite arithmetic operators in the middle of these similar terms. For example, p – q is the conjugate of p + q.

complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. That is, the complex conjugate of {\displaystyle a+bi} is equal to {\displaystyle a-bi.}

The math conjugate of a number is a number that when multiplied or added to the given number results in a rational number. For example,

The conjugate of a surd 6 + √2 is 6 - √2.

The conjugate of a complex number 5 - 3i is 5 + 3i.