1. A questionnaire asks shareholders of a company to state whether they consider the
chairman’s salary to be too high, about right, or too low. Excluding shareholders who
have no opinion, the probabilities of answers from randomly selected shareholders are as
follows:
Too High 0.82
About Right 0.12
Too Low 0.05
What are the probabilities that if three shareholders are selected at random;
a. They will all answer ‘too high’
b. Exactly two will answer ‘too high’
c. Exactly two will give the same answer

Answer:

See below.

Step-by-step explanation:

e=12c+6

e=12(1)+6

e=12+6

e=18

e=12(2)+6

e=24+6

e=30

e=12(3)+6

e=36+6

e=42

e=12(4)+6

e=48+6

e=54

-hope it helps

Answer:

\(y = 32 - \frac{1}{2}x\)

Step-by-step explanation:

Given

\(Cups = 32\) ---- not 52

\(Students = x\)

\(Remainder = y\)

\(Each = \frac{1}{2}\) --- not z

Required

The equation for y

The remainder y is calculated as:

\(y = Cups - Students * Each\\\)

\(y = 32 - \frac{1}{2}x\)

The slope is not affected by the translations, so the slope for the new line is 2

b) the new point for (0,-3) is (4,2)

Answer:

u got it baby

Step-by-step explanation:

Answer:

This is not a function

Step-by-step explanation:

Hope this helps

The coordinates for hector's position are (137.78, 47.72) for (x, y)

Tre's position as the point on the pitcher's mound (42.78, 42.78). Hector is approximately 95 feet away from the pitcher's mound horizontally (x axis).

We must solve for the correct x-coordinate because we already have the correct y-coordinate.

Now all that is required of you is to write down the coordinates.

The coordinates of Hector are (137.72, 47.78).

The coordinate values of a point on a graph can be represented by (x, y), with x being referred to as the abscissa, indicating the horizontal distance from the origin or x-axis, and y being referred to as the ordinate, signifying the vertical distance from the origin or the x-axis.

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Complete Question:

Hector was standing halfway between first and second base, at the grass line. The

grass line is 95 feet from the pitcher's mound.

6. Calculate the coordinates for Hector's position. [Note: We can assume that 95

feet is an approximately horizontal distance from the pitcher's mound to the grass

line.] (2 points: 1 for x, 1 for y)

Hector was standing at the coordinate ( __, _).

The problem states that Jonathan is using a hose to fill his pool with water. Initially, the pool already had 2,000 gallons of water in it before he started.

By doing step by step process we can get both equations solution:

The hose puts water into the pool at a rate of 360 gallons per hour.

Equation 1: g = 360h

Explanation: The number of gallons that the hose has put into the pool (g) is directly proportional to the number of hours that the hose has put water into the pool (h) at a constant rate of 360 gallons per hour. Therefore, we can express this relationship as g = 360h.

Equation 2: w = g + 2,000

Explanation: The total number of gallons of water in the pool (w) is equal to the number of gallons that the hose has put into the pool (g) plus the initial 2,000 gallons of water that were already in the pool. Therefore, we can express this relationship as w = g + 2,000.

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By using fraction, it can be calculated that

30 boards are required to cover a floor of width 205 inches wide

What is fraction?

Suppose there is a collection and a part of collection has to be taken.

The part which is taken is called fraction. In other words part of a whole is called fraction.

The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

This is a word problem on fraction

Width of each board = \(6\frac{5}{6}\) inches = \(\frac{41}{6}\) inches

Total width of floor = 205 inches

Number of boards required = \(205 \div \frac{41}{6}\) = \(205 \times \frac{6}{41}\) = 30

30 boards are required

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Answer:

11,356 ml.....................

Answer:

so

Step-by-step explanation:

the first goes 3rd

the 2nd goes 1

3rd goes 4

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer

its the first one

Step-by-step explanation:

Interest, is an additional money paid for borrowing money. it could be simple or compound interest.

simple interest= p×T×R/100

when interest is compounded annually

F= p(1+r)^t

F= future value

p= principal

r= rate

t= time

compound interest is calculated based on the initial and accumulated interest.

F= p(n+r)^n

F= 10000(1+0.02)^1

F= 10000×1.02= $10200

interest= 10200-10000

interest = $200

second year

F = 10200(1+0.02)^1

F=10200×1.02= $10404

Interest= 10404-10200

interest= $204

third year

F= 10404(1+0.02)^1

F= 10404(1.02)

F = $10612.08

interest= 10612.08-10404

interest= $208.08

first year

I=10000×1×0.02/100

interest= $2

second year

I= 10000×2×0.02/100

interest= $4

for the third year

I =10000×3 × 0.02/100

interest= $6

Answer:

the value x is 0 and the value of y is 2

Answer: Themba needs a total of 7.5  cups of yogurt to make 5 bowls of fruit dip, so 0.75 cup(s) will be needed

Step-by-step explanation:

your welcome.

Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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Answer:

3744 cm³

Explanation:

The given prism has a trapezium as its cross-section.

For any prism:

Cross-Sectional Area

Thus:

The distance between the two trapezoidal faces is 8cm.

Therefore, the length of the prism = 8cm.

The volume of the prism is 3,744 cubic centimetres.

Answer:

Step-by-step explanation:

90 miles + 120 miles = 210 total miles

1.5 hours + 3 hours = 4.5 total hours.

Average speed = 210 miles / 4.5 hours = 46 2/3 miles per hour

Answer:

40

Step-by-step explanation:

I know meth

Based on the frequency table given,

a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.

b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.

The frequency table displays the number of times each value, or range of values, appears in the data-set.

where 11 weights are between 20 and 30,  and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.

This  implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.

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Answer:

140

If that's wrong, try 147

Step-by-step explanation:

With this brief sequence of numbers, we can see that the function is linear, and increases by 7 each term, with the first term at -21, and therefore, the "0th" term, or the y-intercept, at -28. With this information we can create a function in slope intercept form (y=mx+b):

\(y=7x-28\\\),

where our m (slope) is 7, and our b (y-intercept) is -28.

If this doesn't make sense, then the easiest way is to just keep adding seven to the previous number until you get to the 24th term.

Hope this helps!

Answer:

slope: \(-\frac{8}{11}\)

slope-intercept form: y= \(-\frac{8}{11}\)x+\(\frac{248}{11}\)

Step-by-step explanation:

Hope this helps!

Answer:

The area of the shaded region is the difference between the areas of the rectangle and the square.

Step-by-step explanation:

Step-by-step explanation:

Find the factors of x that makes it zero.. Equate the equation to y and use it to find the value of y. Then get your values for x and y and plot the graph

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:It depends on how fast you write.

Step-by-step explanation:If you're a professional typist, you can probably type 75 words per minute, and maybe even more.

Answer:

1,119.44 wpm

Step-by-step explanation:

806,000 words in 12 hours; divide each value by 12 to get number of words per 60 minutes

17,166.67 word in 60 minutes; divide each value by 60 to get number of words per minute

1,119.44 words in 1 minute

Answer:

Center, radius, chord, diameter... are Words related to circle

The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.

To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...

By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.

Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.

Let's calculate the differences between consecutive terms:

-45 - (-39) = -6

51 - (-45) = 96

57 - 51 = 6

From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.

Let's calculate the ratios between consecutive terms:

-45 / (-39) ≈ 1.1538

51 / (-45) ≈ -1.1333

57 / 51 ≈ 1.1176

The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.

Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.

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Answer:

65 degrees

Step-by-step explanation:

115*2=230

360-230=130

130/2=65

65 degrees is the answer.

Answer:

x = 67°

Step-by-step explanation:

x = m<K (corresponding angles are congruent)

m<K = 180 - (46 + 67) (sum of triangle)

m<K = 67°

Therefore,

x = m<K = 67°

x = 67°

Answer: The sales tax rate is 14%.

To find the sales tax rate, we can use the formula:

Sales Tax Rate = (Sales Tax / Cost before Tax) * 100

Given that the item costs $350 before tax and the sales tax is 14%, we can substitute the values into the formula:

Sales Tax Rate = (14 / 350) * 100

Simplifying the expression inside the parentheses:

Sales Tax Rate = 0.04 * 100

Multiplying 0.04 by 100:

Sales Tax Rate = 4

Therefore, the sales tax rate is 4%, which means that the sales tax on the item is 4% of the cost before tax.

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