The Value Line Survey, a service for common stock investors, provides its subscribers with up- to-date evaluations of the prospects and risks associated with the purchase of a large number of common stocks. Each stock is ranked 1 (highest) to 5 (lowest) according to Value Line’s estimate of the stock’s potential for price appreciation during the next 12 months. Suppose you plan to purchase stock in three electrical utility companies from among seven that possess rankings of 2 for price appreciation. Unknown to you, two of the companies will experience serious difficulties with their nuclear facilities during the coming year. If you randomly select the three companies from among the seven, what is the probability that you select:

(a) None of the companies with prospective nuclear difficulties?

(b) One of the companies with prospective nuclear difficulties?

(c) Both of the companies with prospective nuclear difficulties?

Step-by-step explanation:

jawabannya

336 in 3

cuma di kali kali

8×7×6=336

Answer:

6y²(2y - 1)(y - 5)

Step-by-step explanation:

12\(y^{4}\) - 66y³ + 30y² ← factor out 6y² from each term

= 6y²(2y² - 11y + 5) ← factor the quadratic

consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term, that is

product = 2 × 5 = 10 and sum = - 11

the factors are - 1 and - 10

use these factors to split the y- term

2y² - y - 10y + 5 ( factor the first/second and third/fourth terms )

y(2y - 1) - 5(2y - 1) ← factor out (2y - 1) from each term

(2y - 1)(y - 5)

then

12\(y^{4}\) - 66y³ + 30y² = 6y²(2y - 1)(y - 5)

\(12y {}^{4} - 66y {}^{3} + 30y {}^{2} \\ 6y {}^{2} (2y {}^{2} - 11y + 5) \\ 6y {}^{2} (2y {}^{2} - y - 10y + 5) \\ 6y {}^{2} (y(2y - 1) - 5(2y - 1)) \\ 6y {}^{2} (2y - 1)(y - 5)\)

Answer:

C

Step-by-step explanation:

x + 2y = 6

isolate x through

x = 6-2y . . . (iii)

Substitute equation (iii) in equation (i)

7x - y = 7

7(6 - 2y) - y = 7

42 - 14y - y = 7

42 - 15y = 7

Collecting Like terms

-15y = 7 - 42

-15y = -35

-15y = -35

-15 -15

y = 7

3

y =

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

Substitute y in equation (iii)

x = 6 - 2y

x = 6 - 2 × 7

3

x = 6 - 14

3

x =

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

Answer:

c is the right answer

Step-by-step explanation:

Answer: Suponiendo que la altura del cono y la del cilindro son iguales.

\(\pi r^2\times h+\frac{1}{3} \pi r^2\times h=41.86\\\pi (2)^2\times h+\frac{1}{3} \pi (2)^2\times h=41.86\\\\Solving\;for\;h\\h=2.49833\)

In its most basic form, the new blue-to-yellow color ratio is 19/12

44 litres of a teal-colored dye are created by combining blue and green dye in a 7:4 ratio. The liquid is then dyed with green for an additional 8 liters. What has to be determined is the new blue-to-green dye ratio in its most basic form.

The percentage of blue and green in the teal dye may be calculated.

Dye for blue = 8/(4+8) * 44

Dye for blue = 8/11 * 44

32 liters = blue dye

The formula for yellow dye is 4/11*44.

yellow color = 16

Blue dye now equals yellow dye, which makes 32 plus 16 equal 48.

yellow dye has now been increased by 8 liters.

green dye's new volume fraction is 16 + 32 = 24.

A portion of the blue dye is constant, and the ratio of

the blue to fresh yellow dye ratio.

= 48/24

=19/12

The new blue to yellow dye ratio is now 7/6 in its most basic form.

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Answer:

x = 4 and y = 3.

Step-by-step explanation:

To solve the system of equations using elimination, we can eliminate one variable by multiplying one or both equations by appropriate constants so that the coefficients of either x or y will cancel out when added or subtracted. Let's use the second equation to eliminate y.

Multiply the second equation by -4 to make the coefficients of y in both equations the same:

-4(3x + y) = -4(15)

-12x - 4y = -60

Now, we have two equations:

4x + 4y = 28

-12x - 4y = -60

Add the two equations together:

(4x + 4y) + (-12x - 4y) = 28 + (-60)

-8x = -32

Divide both sides of the equation by -8 to solve for x:

x = (-32) / (-8)

x = 4

Substitute the value of x back into one of the original equations (let's use the second equation):

3x + y = 15

3(4) + y = 15

12 + y = 15

y = 15 - 12

y = 3

Therefore, the solution to the system of equations is x = 4 and y = 3.

Answer:

i think the c answer is 5

Step-by-step explanation:

Answer:

600 square feet

Step-by-step explanation:

I notice it says "Estimate" in bold. Therefore, you would round all of the measurements. They're all pretty simple to round (to the nearest tens place). From here, you subtract the length of the large room from the length of both rooms. So, 50 - 30 = 20. This is the length of the small room. We now multiply this by the width of the small room (since area of a rectangle is length * width) and we get:

20 * 30 = 600, our final answer

Hope it made sense. I would appreciate Brainliest, but no worries.

To determine if a given nonnegative integer vector b can be a score vector in a tournament with n players.

1. Check if the sum of elements in b equals (n-1) choose 2.

2. If the sum is not equal, b cannot be a score vector.

3. Check if each element bᵢ is less than n-1.

4. If any bᵢ is greater than or equal to n-1, b cannot be a score vector.

5. If all elements are less than n-1, it is possible for b to be a score vector, and further verification can be done using a graph representation of the tournament.

To solve the problem of checking if a given nonnegative integer vector b can be a score vector in a tournament, we can follow a step-by-step approach.

Step 1: Calculate the sum of elements in vector b and check if it equals (n-1) choose 2. The sum represents the total number of games played in the tournament, and for n players, the total number of games is given by (n-1) choose 2. If the sum of elements in b does not equal this value, then it is not possible for b to be a score vector.

Step 2: If the sum of elements in b is equal to (n-1) choose 2, proceed to the next step.

Step 3: Check each element bᵢ (number of wins for each player) and ensure it is less than n-1. In a tournament with n players, each player plays against all other players exactly once, resulting in a maximum of n-1 possible wins for each player. If any bᵢ is greater than or equal to n-1, then it is not possible for b to be a score vector.

Step 4: If all elements in b are less than n-1, it is possible for b to be a score vector. In this case, further verification can be done by constructing a graph representation of the tournament and checking if the number of wins for each player aligns with the tournament results.

By following these steps, we can determine whether a given vector b can be a score vector in the specified tournament.

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Answer:

This is an equilateral triangle, which means all the sides are equal.

Hence, all three angles are the same.

\(3x=\frac{180}{3}\)

\(3x=60\)

Therefore,

\(x=20\)

Answer:

20

Step-by-step explanation:

3x+3x+60= 180

6x= 180-60

6x= 120

a) The effective rate of interest on a mortgage at 8.15 percent compounded semi-annually is 8.23 percent.

b) It will take approximately 54.4 years to save $1,000,000 for retirement with $200 monthly deposits at 6 percent interest compounded monthly.

a) To find the effective rate of interest, we use the formula: Effective Rate = (1 + (Nominal Rate / Number of Compounding Periods))^Number of Compounding Periods - 1.

For a mortgage at 8.15 percent compounded semi-annually, the nominal rate is 8.15 percent and the number of compounding periods is 2 per year.

Plugging these values into the formula, we get Effective Rate = (1 + (0.0815 / 2))^2 - 1 ≈ 0.0823, or 8.23 percent. Therefore, the effective rate of interest on the mortgage is 8.23 percent.

b) To determine how long it will take to save $1,000,000 for retirement with $200 monthly deposits at 6 percent interest compounded monthly, we can use the formula for the future value of an ordinary annuity: FV = P * ((1 + r)^n - 1) / r, where FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of periods.

Rearranging the formula to solve for n, we have n = log(FV * r / P + 1) / log(1 + r). Plugging in the values $1,000,000 for FV, $200 for P, and 6 percent divided by 12 for r, we get n = log(1,000,000 * (0.06/12) / 200 + 1) / log(1 + (0.06/12)) ≈ 54.4 years.

Therefore, it will take approximately 54.4 years to save $1,000,000 for retirement under these conditions.

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Answer:

16968

Step-by-step explanation:

Answer:

16,968

Hope this helps :)

Answer:

the independent variable is the each pictures becasue you don't know how many photo he took.

Answer:

6

Step-by-step explanation:

Step 1:

1/2n + 3 = 6       Equation

Step 2:

1/2n = 3      Subtract 3 on both sides

Step 3:

n = 3 ÷ 1/2      Divide

Step 4:

n = 3 × 2      Flip the Fraction

Answer;

n = 6

Hope This Helps :)

Answer:

27 is 30% of what number?

D. 90

Step-by-step explanation:

You're welcome.

Answer:

10x -24 ft^2

Step-by-step explanation:

The area of the square is x^2

The area of the flower garden is lw

( x-4) ( x-6)

x^2 -6x-4x +24

x^2 -10x +24

Subtract the flower garden from the square to find the area of the patio

x^2 - ( x^2 -10x +24)

Distribute the minus sign

x^2 -x^2 +10x -24

10x -24

Answer:

c. 10x -24 sq. ft

Step-by-step explanation:

area of lot = x * x

area of garden = (x-4)(x-6) = x^2-10x+24

Area of patio

= area of lot - area of patio

= x^2 -(x^2-10x+24)

= 10x-24 sq.ft

When the relationship between the unit of measurement of a scale (strength) and an outcome (pounds lifted) can be described by a linear equation y = a bx, the scale is said to have a property of equal intervals.

Therefore, when the relationship between the unit of measurement of a scale (strength) and an outcome (pounds lifted) can be described by a linear equation y = a bx, the scale is said to have a property of equal intervals.

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Answer:

50 =c×d

Step-by-step explanation:

Answer: c= d x 50

Step-by-step explanation:

These statistical measures help the researcher summarize, describe, and understand the data collected from the study participants.

As the researcher is describing the characteristics of the subjects, the appropriate statistical analysis would be descriptive statistics.

Descriptive statistics is a method that summarizes and describes the data collected in a study. It includes measures such as mean, median, mode, standard deviation, range, and frequency distribution.

These measures can provide a clear picture of the demographic data of the three groups of subjects and help in drawing meaningful conclusions.

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Answer:

I'm guessing 1/3 but there is like missing pieces to the problem.

\(\huge \bf༆ Answer ༄\)

Here's the solution ~

Value of x is 64

Histogram attached

Answer and explanation:

To find the center of the distribution, we find the mean of the distribution.

Mean= sum of all values/number of values

To calculate the mean of the distribution using the histogram(attached) with given frequencies, we find the mid point of each class and multiply by its frequency to get the sum of the values(estimated) and then divide by the number of values(sum of the frequencies of the classes)

midpoint of 50-60=50+60/2=55

midpoint of 70-80=150/2= 75

midpoint of 80-90=170/2=85

midpoint of 90-100=190/2=95

midpoint of 100-110=210/2=105

Midpoint of 110-120=230/2=115

Midpoint of 120-130=250/2=125

Midpoint of 130-140=270/2=135

Midpoint of 140-150=290/2=145

Midpoint of 150-160=310/2=155

Sum of the values= 55*frequency= 55*3+75* 2+85*1+95*7+105*17+115*29+125*10+

135*2+145*3+155*3

Sum of all values =8605

Number of values= 3+2+1+7+17+29+10+2+3+3=77

Mean= 8605/77= 111.753

Therefore the center of the distribution is between 110 and 120 calories.

A) First derivative for y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative of for, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for y = In (9x4) is dy/dx = 4 / (3x).

A. y = 3x² + 5x + 10:

First derivative of the given equation, y = 3x² + 5x + 10 is as follows:

dy/dx = d/dx (3x²) + d/dx (5x) + d/dx (10)dy/dx

= 6x + 5

Since there are no exponents in 5x, the derivative of 5x is simply 5.

Similarly, since 10 is a constant, the derivative of 10 is zero.

B. y = 100200x + 7x:

First derivative of the given equation, y = 100200x + 7x is as follows:

dy/dx = d/dx (100200x) + d/dx (7x)dy/dx

= 100200 + 7

= 100207

C. y = In (9x4):

The given equation is, y = In (9x4).

The first derivative of this function can be obtained as follows:

dy/dx = 1 / (9x4) * d/dx (9x4)dy/dx

= 1 / (9x4) * 36x3dy/dx

= 4x3 / (3x4)dy/dx

= 4 / (3x)

Therefore, the first derivative of the given function y = In (9x4) is 4 / (3x).

A) First derivative forgiven equation, y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative for given equation, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for given equation, y = In (9x4) is dy/dx = 4 / (3x).

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Answer:

En el curso anterior había 430 alumnos.

Step-by-step explanation:

El curso tiene 473 alumnos. Nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %. Entonces, siendo x la cantidad de alumnos que había en el curso anterior, se puede plantear la ecuación:

x + 0.1*x= 473

Resolviendo se obtiene:

1.1*x=473

x= 473 ÷1.1

x= 430

En el curso anterior había 430 alumnos.

The Measure of angle A is 120°, Measure of angle C = 120° and the Measure of angle D is 60°

In a parallelogram, opposite angles are congruent. Therefore, if the measure of angle A is 120°, then the measure of angle C is also 120°.

Since angle A and angle C are opposite angles, their adjacent angles are also congruent. This means that the measure of angle B is equal to the measure of angle Z.

Now, let's consider angle D. In a parallelogram, the sum of the measures of adjacent angles is always 180°. Since angle C is 120°, the adjacent angle D must be:

180° - 120°

= 60°.

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Answer:

she can fill 10 boxes of 12 cookies and the the left over will be 2 cookies.

Step-by-step explanation:

first we have to find out what multiple of 12 is closest to 122 which is 12 x 10=120.

then minus 120 from 122 which gives 2 remaining cookies

Answer:

71

Step-by-step explanation:

4, 7, 12, 21, 38, ...

next term:

nth term:

Answer:

answer is $5.12

Step-by-step explanation:

Using the formula two and replacing the given values:

Sale Price = Original Price - Amount Saved. So,

Sale Price = 6.40 - 1.28

Sale Price = $5.12 (answer)

This means, the cost of the item to you is $5.12.

You will pay $5.12 for an item with original price of $6.40 when discounted 20%. In other words, if you buy an item at $6.40 with 20% discounts, you pay $6.40 - 1.28 = $5.12

Suppose Have you received a amazon promo code of 1.28. If the price is $6.40 what was the amount saved in percent:

3) 1.28 is what percent off $6.40?

Using the formula two and replacing the given values:

Amount Saved = Original Price x Discount % /100. So,

1.28 = 6.40 x Discount % / 100

1.28 / 6.40 = Discount % /100

100 x 1.28 / 6.40 = Discount %

128 / 6.40 = Discount %, or

Discount % = 20 (answer)

2 (5 - 8x) - 13 = 9 (1 - x) - 12

10 - 16x - 13 = 9 - 9x - 12

10 - 13 - 16x = 9 - 12 - 9x

- 3 - 16x = - 3 - 9x

- 3 + 3 = - 9x + 16x

0 = 7x

0/7 = x

0 = x

_____

Hope it helps ⚜

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the answer is 'x = 0'

!! Hoped this helped !!

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Kermit will likely enjoy Peggy's iced tea as it has the same concentration as his favorite iced tea.

Let's compare the ratios of tea bags to water in Kermit's favorite iced tea and Peggy's iced tea to determine what Kermit might think of Peggy's iced tea.

1. Kermit's favorite iced tea ratio:
Kermit uses 15 tea bags in every 2 liters of water. So, the ratio is 15:2.

2. Peggy's iced tea ratio:
Peggy made a 12-liter batch of iced tea with 90 tea bags. So, the ratio is 90:12.

Now, let's simplify both ratios:

1. Kermit's ratio:
15:2 can be simplified to 7.5:1 by dividing both numbers by 2.

2. Peggy's ratio:
90:12 can be simplified to 7.5:1 by dividing both numbers by 12.

Both iced tea recipes have the same ratio of 7.5:1 (tea bags to water), and the tea bags are in the water for the same amount of time. Therefore, Kermit will likely enjoy Peggy's iced tea as it has the same concentration as his favorite iced tea.

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