Solve for y! I need help ASAP. PLEASE

Based on the given data, it is advisable for management at Kelsh to eliminate the North Division in order to avoid the traceable fixed expenses associated with it, while keeping the total common corporate expenses unaffected.

When considering the elimination of a division, it is crucial to analyze the impact on expenses and overall profitability. In this case, the information states that if the North Division is eliminated, its traceable fixed expenses can be avoided. Traceable fixed expenses refer to the costs that are directly associated with a specific division or segment of a company. By eliminating the North Division, Kelsh can avoid incurring these interests, potentially improving the company's financial performance.

Furthermore, the data states that the total common corporate expenses would be unaffected by the elimination of the North Division. Common corporate expenses are costs incurred at the corporate level that are not directly attributable to any specific division or segment.

Learn more about interests here:

https://brainly.com/question/30955042

#SPJ11

Answer:

x^2-4-8

Step-by-step explanation:

x^2-4(x+2)

x^2-4x-8

A volume of 2 liters is needed to obtain a 92 % solution.

In this problem we need to determine the volume of pure acid to be added with a volume of four liters of 88 % acid solution to get a 92 % solution. This can be done by definition of weighted average:

(88 / 100) · (4 L) + (100 / 100) · V = (92 / 100) · (4 L + V)

Where V is the volume needed of the pure acid, in liters.

3.52 L + V = 3.68 L + 0.92 · V

0.08 · V = 0.16 L

V = 2 L

To learn more on weighted average: https://brainly.com/question/28419561

#SPJ1

Answer:

1.) 6

2.)6

3,)4

Step-by-step explanation:

I think these are the gcf of the numbers

Answer:

See below

Step-by-step explanation:

A binomial distribution has the value of x representing the number of successes in n​ trials, while a geometric distribution has the value of x representing the first trial that results in a success.

There are 16 people who share the worm.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this illustration, Vince brought 6 boxes of worms to use as bait while fishing with his friends if each person uses exactly 3 8ths of a box of worms

The number of people who shared the works will be:

= Number of worms / Amount collected by each person

= 6 ÷ 3/8

= 6 × 8/3

= 16

In conclusion, 16 people shared it.

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

Answer:

45

Step-by-step explanation:

so there is 90 degress and you want to find 6x (5x + x) so just subtract 360-90 = 270 then divide by 6 = 45

Answer:

g(n) = - 19 + (n - 1)*6

Step-by-step explanation:

The way to do this is to try a couple and then see if you can make some sort of equation that follows the rule.

g(1) = - 19

=============

g(2) = g(2 - 1) + 6

g(2) = g(1) + 6

g(2) = -19 + 6

g(2) = -13

=============

g(3) = g(2) + 6

g(3) = -13 + 6

g(3) = - 7

==========

g(4) = g(3) + 6

g(4) = - 7 + 6

g(4) = - 1

==========

g(5) = 5

g(6) =11

===========

Now the hard part. You have to start  with - 19

The nth term is g(n) = - 19 + (n - 1)*6

Now see if it works.

g(7) = - 19 + (7 - 1)*6

g(7) = - 19 + 6 * 6

g(7) = -19 + 36

g(7) = 17

Is that correct?

g(7) = g(n - 1) + 6

g(7) = g(6) + 6

g(7) = 11 + 6

g(7) = 17 Seems to be the same as the explicit formula gives.

A coin is tossed three times. We want to find the probability of obtaining two heads and the mean, variance, and standard deviation of the number of heads that will be obtained. a. Probability of obtaining exactly two headsWhen a coin is tossed, there are two possible outcomes: heads (H) or tails (T). Because the coin is tossed three times, there are 2 × 2 × 2 = 8 possible outcomes.

The outcomes of obtaining two heads are as follows: H H T (heads on the first and second toss, tails on the third toss)H T H (heads on the first and third toss, tails on the second toss)T H H (heads on the second and third toss, tails on the first toss)The probability of obtaining two heads is the sum of the probabilities of these three outcomes:

P (two heads) = P (H H T) + P (H T H) + P (T H H)

= (1/2)(1/2)(1/2) + (1/2)(1/2)(1/2) + (1/2)(1/2)(1/2)

= 3/8 ≈ 0.375b.

Mean, variance, and standard deviation of the number of heads obtained Let X be the number of heads obtained. Then X can take the values 0, 1, 2, or 3. The probability distribution of X is:

X  P (X)0  1/81  3/82  3/83  1/8The mean is:

μ = E (X)

= ΣX P (X)

= (0)(1/8) + (1)(3/8) + (2)(3/8) + (3)(1/8)

= 1.5The variance is:

σ² = E (X²) - [E (X)]²

= ΣX² P (X) - [ΣX P (X)]²

= (0²)(1/8) + (1²)(3/8) + (2²)(3/8) + (3²)(1/8) - (1.5)²

= 0 + 3/8 + 12/8 + 9/8 - 2.25= 2.875

To know more about heads visit:

https://brainly.com/question/14132723

#SPJ11

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

We have,
Vermont had 65.3% of respondents who said yes to exercising for at least 30 minutes a day, 3 days a week.

To find the sample proportion, you can convert the percentage to a decimal by dividing the percentage by 100.

Step 1:

Convert the percentage to a decimal.
65.3 / 100 = 0.653

Thus,
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

Learn more about sample proportion here:

https://brainly.com/question/29912751

#SPJ11

Charlotte spent $26 at the hair salon. She wants to leave a 12% tip. About how much money should she leave?

Remember that

12%=12/100=0.12

Multiply $26 by 0.12 to obtain the tip

so

estimate

0.12-------> 0.10

$26 -----> $30

0.10*30=$3.00

Answer: £3.12

Step-by-step explanation: 2% is 0.52

10% is £2.60, adding 0.52 would then equal £3.12

Answer:

1, 4

2,-3

3,6

4,9

5,-0.9

6,7/10

7,-8

8,17

Step-by-step explanation:

Answer:

1. 4

2. -3

3. 6

4. 9

5. 0.9

6. 0.7

7. 8

8. 17i

Step-by-step explanation:

Lesson 8 covers square roots and cube roots.

square root= a square root of a number x is a number y such that y² = x

example: 4*4=16

cube root= a cube root of a number x is a number y such that y³ = x

example: 3*3*3=27

-------------------------------------------------------

Number 1

\(\sqrt{16}\) =?

\(4^2=4x4=16\)

\(\sqrt{16}=4\)

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Number 4

\(\sqrt[3]{729}\)=?

\(9^3=9*9*9=729\)

\(\sqrt[3]{729}=9\)

Simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers.

Number 8

\(\sqrt{-289}\)

\(17^2=17*17=289\)

The i in the answer means that 1 of the 17's is negative and the other is positive.

If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient will be: D. .95.

A confidence interval is also referred to as level of confidence and it can be defined as a range of estimated values that defines the probability that a population parameter would fall or lie within it.

For instance, the confidence interval at 95% is given by p - E < p < p + E

Since the confidence interval for the mean of a population is at 95%, the confidence coefficient would be calculated by simply dividing the confidence interval by 100:

Confidence coefficient = 95/100

Confidence coefficient = 0.95

Read more on confidence interval here: brainly.com/question/28385660

#SPJ1

Answer:

You convert the fractions to a decimal, nut the rest is still the same

Step-by-step explanation:

Answer:

a. GBC, FCB, DCH

b. FCD+HCD=180

Step-by-step explanation:

A

B

The angles that are congruent to ABE are BCF, DCH, and CBG

Angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:

<FCD + <HCD = 180

An angle is a point where two lines meet or intersect.

The angles that are congruent to ABE are BCF, DCH, and CBG

ABE = BCE (corresponding angle)

Since BCE = DCH (vertically opposite angles), hence:

ABE = DCH (vertically opposite angles)

Also, we can see that DCH = CBG (corresponding angles), hence:

ABE = CBG (corresponding angle)

b) From the given diagram, we can see that angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:

<FCD + <HCD = 180

Learn mre here: https://brainly.com/question/14941189

Answer:

  x ≈ 7.68

Step-by-step explanation:

You want to find the length x of the tangent segment in the given figure.

Drawing an altitude of the triangle to the upper point of tangency, we have the figure shown in the first attachment. All of these right triangles are similar, so ∠CAB ≅ ∠CDA = 52°.

The tangent of the angle 52° is given by ...

  Tan = Opposite/Adjacent

  tan(52°) = BC/BA

The tangents to the circle from point C are the same length, so BC = x and ...

  tan(52°) = x/6

  x = 6·tan(52°) ≈ 7.68 . . . . cm

The value of x cm is about 7.68 cm.

<95141404393>

Answer:

\(x \approx 7.68 \text{ cm}\)

Step-by-step explanation:

We can solve for the length of segment x in this circle diagram by using the principles of tangency and the altitude of a right triangle.

First, we can assume that the hypotenuse of the diagrammed right triangle is tangent to, or parallel with, the circumference of the circle at its point of intersection it. This means that it is perpendicular, or at a right angle, to the radius at the point of intersection with the circumference.

Second, we can see that the altitude of the diagrammed right triangle is the radius of the circle which intersects with the circumference at the hypotenuse's point of tangency (see the attached image).

We can use our knowledge of a right triangle's altitude to make the assertion that the three triangles formed by drawing the altitude are all similar. This means that their angles are the congruent.

We can solve for the length of the horizontal segment \(h\) (the hypotenuse of one of the triangles formed by drawing the altitude) by using the trigonometric ratio cosine.

\(\cos(\theta) = \dfrac{\text{adjacent}}{\text{hypotenuse}}\)

↓ plugging in the known values

\(\cos(52\°) = \dfrac{6}{h}\)

↓ dividing both sides by 6

\(\dfrac{\cos(52\°)}{6} = \dfrac{1}h\)

↓ taking the reciprocal of both sides

\(h = \dfrac{6}{\cos(52\°)}\)

Finally, we can solve for x by constructing another right triangle, assuming that the segment of length x is tangent to the circle's circumference. We know that the sides of the right triangle are: the radius, \(h\), and x. We already know two of these values (the radius and \(h\)), so we can solve for x using the Pythagorean Theorem.

\(a^2 + b^2 = c^2\)

↓ plugging in the known values

\(x^2 + 6^2 = \left(\dfrac{6}{\cos(52\°)}\right)^2\)

↓ subtracting 6² from both sides

\(x^2 = \left(\dfrac{6}{\cos(52\°)}\right)^2 - 6^2\)

↓ taking the square root of both sides

\(x = \sqrt{\left(\dfrac{6}{\cos(52\°)}\right)^2 - 6^2}\)

↓ evaluating using a calculator

\(\boxed{x \approx 7.68\text{ cm}}\)

because the two angles are opposite of two straight lines, they're equal

x+5=2x-5

ad five to both sides

x+10=2x

subtract x from both sides

x=10

Answer:

179

Step-by-step explanation:

180- 2=189 this is because 2 of the students the 180 received a or b

The given question is incorrect. The correct question is:

Of the 180 students in a college course, 1/4 of the students earned an A for the course, 1/3 of the students earned a B for the course, and the rest of the students earned a C for the course. How many of the students earned a C for the course?

A. 75

B. 90

C. 105

D. 120

E. 135

The number of students who earned a C for the course can be represented by the fraction of 5/12 of the total number of students and is equal to 75. Hence, option A is the right choice.

A fraction in general means a part of. We represent a part of the whole using fractions. The total number of parts is taken as the denominator, while the parts used are taken as the numerator.

Fraction = Numerator/Denominator.

We are given that there are 180 students in a college course. 1/4 of them get an A for the course while 1/3 get a B. Rest of the students to get a C for the course.

We need to find the number of students who get a C.

Let the fraction of students getting a C be x.

We know that a whole fraction is always = 1.

∴ Fraction of students getting an A + Fraction of students getting a B + Fraction of students getting a C = Whole fraction.

or, 1/4 + 1/3 + x = 1

or, x = 1 - 1/4 - 1/3 = (12 - 3 - 4)/12 = 5/12

∴ 5/12 of the students get a C for the course.

Number of Students who get a C for the course = 5/12 of 180 = 5*15 = 75.

∴ The number of students who earned a C for the course can be represented by the fraction of 5/12 of the total number of students and is equal to 75. Hence, option A is the right choice.

Learn more about the fractions at

brainly.com/question/11562149

#SPJ2

Answer:

+0.05 the correct answer.so choose fourth option

Answer:

Your answer is a

Step-by-step explanation:

(a) The probability that a randomly selected policyholder lives more than 80 years is approximately 0.3106.  (b) Given that a male policyholder just turned 80, the probability that he will live for at least three more years is approximately 0.6166.

(a) To find the probability that a randomly selected policyholder lives more than 80 years, we need to calculate the cumulative probability of survival beyond 80 for both males and females separately, and then weigh them based on the gender distribution.

For males: Using the normal distribution with mean 75 and standard deviation 8, we find the probability of survival beyond 80 is approximately 0.3446.

For females: Using the normal distribution with mean 78 and standard deviation 6, we find the probability of survival beyond 80 is approximately 0.2847.

The weighted probability for a randomly selected policyholder is (0.60 * 0.3446) + (0.40 * 0.2847) = 0.3106.

(b) Given that a male policyholder just turned 80 years old today, we can use conditional probability to calculate the likelihood of him living for at least three more years.

Using the normal distribution with mean 75 and standard deviation 8, the probability of survival beyond 83 (80 + 3) is approximately 0.8621.

Therefore, the probability that a male policyholder, who just turned 80, will live for at least three more years is 0.8621.

Learn more about Probability here: brainly.com/question/32117953

#SPJ11

Answer:

B.

Step-by-step explanation:

There is a proportional relationship between a circle's circumference and its diameter. The ratio between circumference and diameter will always be the same, regardless of the circle's size.

Hope this helps :)

The present value of the loan is found to be  approximately $70.28.

To find the present value of a loan, we can use the formula:

Present Value = Future Value / (1 + (interest rate * time))

Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:

Present Value = 1321.17 / (1 + (0.0775 * 230))

Calculating the expression in the parentheses first:

Present Value = 1321.17 / (1 + 17.8075)

Simplifying further:

Present Value = 1321.17 / 18.8075

Evaluating the division:

Present Value ≈ $70.28

Therefore, the present value of the loan is approximately $70.28.

Know more about the present value

https://brainly.com/question/30390056

#SPJ11

The size of the angle subtended at the center of the circle is θ = 80.5397°

In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

The formula for Area of a sector is given as;

A = θ/360 x πr²

where;

θ is the central angle of the sector

r is radius

Given data ,

The area of a sector of a circle of radius 8cm is 45cm²

On simplifying , we get

A = θ/360 x πr²

45 = θ/360 ( 22/7 ) ( 8 )²

45 = ( θ/360 ) ( 201.1428 )

Divide by 201.1428 on both sides , we get

( θ/360 ) = 0.22372159

Multiply by 360 on both sides , we get

θ = 80.5397

Hence , the angle is θ = 80.5397°

To learn more about area of sector click :

https://brainly.com/question/28180776

#SPJ2

Answer:

x = 6 gallons (of 30% alcohol)

y = 12 gallons (of 60% alcohol)

Step-by-step explanation:

Let

x = liters of 30% alcohol

y = liters of 60% alcohol

There are two unknowns, we need two equations

x + y = 18. (1)

0.30x + 0.60y = 0.50(x+y) (2)

From (1)

x + y = 18

y = 18-x

Substitute the value of y into (2) and solve for x:

0.30x + 0.60y = 0.50(x+y)

0.30x + 0.60(18-x) = 0.50(x+18-x)

0.30x + 10.8 - 0.60x = 0.50(18)

10.8 - 0.30x = 9

-0.30x = -1.8

Divide both sides by -0.30

x = 6 gallons (of 30% alcohol)

Substitute x=6 into (1) and solve for y:

x + y = 18

6 + y = 18

y = 12 gallons (of 60% alcohol)

the bill for a household that uses 111 units in a month is 71.00 Cedis.

The cost of each unit is 50Gp, which is equivalent to 0.50 Ghana Cedis. Therefore, the cost of 111 units is:

111 units × 0.50 Cedis/unit = 55.50 Cedis

Adding the fixed charge of GHC 15.50, the total bill is:

55.50 Cedis + 15.50 Cedis = 71.00 Cedis

Therefore, the bill for a household that uses 111 units in a month is 71.00 Cedis.

to know more about cost

brainly.com/question/30045916

#SPJ1

The new price of the car after the 4% reduction is $18,240

Percentage is simply number or ratio expressed as a fraction of 100.

Given that,

To determine the new price of the car after reduction;

New price = Initial price × ( 100% - 4% )

New price = Initial price × ( 96% )

Note that 96% is the same as 96/100

New price = $19,000 × 96/100

New price = $19,000 × 0.96

Multiply  $19,000 and 0.96

New price = $18,240

Therefore, the new price is $18,240.

Learn more about Percentages here: https://brainly.com/question/14103344

#SPJ1

Step-by-step explanation:

since both spins are independent events (one does not have any impact on the other), the sequence does not matter. the probability of first blue and then gray is the same as first gray and then blue.

it is the probability of getting 1 gray and 1 blue result.

a probability is always the ratio

desired cases / totally possible cases.

since 6/10 of the area of the spine are gray, and 4/10 of the area are blue, the probability for any single spin to result in gray is 6/10 = 3/5 = 0.6.

and the probability to result in blue is 4/10 = 2/5 = 0.4

the probability to get 1 gray and 1 blue is then the product of both probabilities :

0.6 × 0.4 = 0.24

it is like rolling a die twice and asking for e.g. two 6s or any other combination of 2 specific numbers. that probability is

1/6 × 1/6 = 1/36

FYI :

the probability of getting gray twice is then

0.6 × 0.6 = 0.36

the probability of getting blue twice is

0.4 × 0.4 = 0.16

as mentioned to get gray first and blue second is

0.6 × 0.4 = 0.24

to get blue first and gray second

0.4 × 0.6 = 0.24

and these are all the possible results you can get in 2 spins.

therefore, the probability for any of them is

0.36 + 0.16 + 0.24 + 0.24 = 1

The required matrix is,

\(\left[\begin{array}{ccc}-3&15& -12\\2&2&5\end{array}\right]\)

Hence option D is correct.

The given matrix is,

\(\left[\begin{array}{ccc}1&-5&|4\\2&2&|5\end{array}\right]\)

Since we kow that,

An array of integers organized in rows and columns is referred to as a matrix. A matrix's dimensions are defined as its number of rows and columns, where m and n are the number of rows and columns, respectively. There are certain simple operations that can be carried out on a matrix in addition to fundamental mathematical operations. The operations carried out on a matrix's rows and columns in order to change the provided matrix into a new form in order to simplify the computation are known as the elementary operations or transformation of a matrix.

Now applying the row operation

-3R₁ → R₁

It means multiplying -3 in first row of the given matrix.

Therefore,

\(\left[\begin{array}{ccc}-3&15& -12\\2&2&5\end{array}\right]\)

Hence this is the required matrix.

To learn more about matrix visit:

https://brainly.com/question/31080078

#SPJ4

The complete question is:

Answer: Yes, 59 is a prime number

Step-by-step explanation: 59 is a prime number, it has only two factors, such as one and the number itself. Hence, the factors of 59 are 1 and 59.

Yes, 59 is a prime number.

What is a prime number?

Any natural number greater than 1 that is not the sum of two smaller natural numbers is referred to as a prime number. A composite number is a natural number greater than one that is not prime.

In other terms, prime numbers are positive integers greater than one that only has the number itself and 1 as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are just a few examples. Never forget that 1 is neither a prime number nor a composite. Apart from 1, the other numbers can all be categorised as prime and composite numbers. Except for 2, which is the smallest prime number and the only even prime number, all prime numbers are odd.

The number in question, which is 59,  has only two factors: 1 and 59.

Therefore 59 is a prime number.

To learn more about prime numbers, follow the link.

https://brainly.com/question/145452

#SPJ4