From 250 candidates who sat for a written examination for a job, 45 of them scored above 85%. The personnel division suggested that those candidates who have scored above 85% in the written examination could sit for interview. What percent of the candidates did not have a chance for interview?​

Answer:

a) [-9,8)

b) [-5,5]

c) (-4,0), (1,6)

d) [-9,-4), (6,8)

e) [0,1]

f) just the y-value: 5;  as a point: (-8,5)

g) just the y-value: -5;  as a point: (-4,-5)

Step-by-step explanation:

a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).

b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.

For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.

c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?

d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?

e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?

f) Look for the highest non-infinity point on the graph

g) Look for the lowest non-infinity point on the graph

Answer:

x ≥ 40

Step-by-step explanation:

3x - 55 ≥ 65

combine like terms

3x  ≥ 65 + 55

3x  ≥120

divide both sides of the equation by 3

x  ≥ 40

The net income using FIFO, LIFO, and Weighted Average methods are $16200, $12700, $14100.3

To calculate the net income using different inventory valuation methods, we need to calculate the cost of goods sold (COGS) first, which is:

COGS = Beginning Inventory + Purchases - Ending Inventory

For each inventory valuation method, we will calculate the COGS and then subtract it from the total sales to find the net income.

1.

FIFO (First-in, First-out) method:

Under the FIFO method, we assume that the units sold are from the earliest inventory purchased. Therefore, the ending inventory consists of the most recently purchased units.

a. COGS:

Beginning inventory: 90 units at $40 = $3,600

Purchases: 310 units at $45 = $13,950

Total cost of goods available for sale = $3,600 + $13,950 = $17,550

Cost of goods sold = Total cost of goods available for sale - Ending inventory

= $17,550 - 30 units at $45 = $16,200

b. Net Income:

Sales = 370 units at $90 = $33,300

COGS = $16,200

Operating expenses = $4,100

Net income = Sales - COGS - Operating expenses

= $33,300 - $16,200 - $4,100

= $13,000

2.

LIFO (Last-in, First-out) method:

Under the LIFO method, we assume that the units sold are from the most recently purchased inventory. Therefore, the ending inventory consists of the earliest purchased units.

a. COGS:

Beginning inventory: 90 units at $40 = $3,600

Purchases: 310 units at $45 = $13,950

Total cost of goods available for sale = $3,600 + $13,950 = $17,550

Cost of goods sold = (Ending inventory at $40) + (Remaining units sold at $45)

= (30 units at $40) + (340 units at $45)

= $1,200 + $15,300

= $16,500

b. Net Income:

Sales = 370 units at $90 = $33,300

COGS = $16,500

Operating expenses = $4,100

Net income = Sales - COGS - Operating expenses

= $33,300 - $16,500 - $4,100

= $12,700

3.

Weighted Average method:

Under the weighted average method, we calculate the average cost per unit and use it to value both the cost of goods sold and ending inventory.

a. Average Cost per unit:

Total cost of goods available for sale = Beginning inventory + Purchases

= $3,600 + $13,950

= $17,550

Total units available for sale = Beginning inventory + Purchases + Ending inventory

= 90 + 310 + 30

= 430

Average cost per unit = Total cost of goods available for sale / Total units available for sale

= $17,550 / 430

= $40.81

b. COGS:

Cost of goods sold = Units sold x Average cost per unit

= 370 units x $40.81

= $15,099.7

c. Net Income:

Sales = 370 units at $90 = $33,300

COGS = $15,111.70

Operating expenses = $4,100

Net income = Sales - COGS - Operating expenses

= $33,300 - $15,099.7 - $4,100

= $14,100.3

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Answer: The probability that both events A and B will occur is 5/18 or 0.28.

Step-by-step explanation:

To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.

Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.

Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.

To find the probability that both events A and B occur, we multiply the probabilities:

Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.

Answer:

i think it is at least sum where between the 30s and 40s

Step-by-step explanation:

Answer: 20% increase

Step-by-step explanation:

Answer:

C. 20% increase

Step-by-step explanation:

if it was decreasing it would be less and 20% is even and seven is also even

Answer:

Step-by-step explanation:

To find the number that Grace thought:

We'll represent the unknown number as "x."

"Added 7": This can be represented as (x + 7).

"Multiplied by 3": This becomes 3 * (x + 7).

"Took away 5": This is represented as 3 * (x + 7) - 5.

"Divided by 4": This gives (3 * (x + 7) - 5) / 4.

"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.

Now we can solve for x:

(3 * (x + 7) - 5) / 4 = 7

Multiply both sides by 4 to eliminate the denominator:

3 * (x + 7) - 5 = 28

Simplify the left side:

3x + 21 - 5 = 28

Combine like terms:

3x + 16 = 28

Subtract 16 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the number that Grace thought of is 4.

Answer:

m+5

Step-by-step explanation:

5m-4-4m+9

5m-4m-4+9

m-4+9

m+5

The probability of rolling a number less than 5 is 0.667.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event asked. The value is expressed from zero to one. An outcome is a value we can obtain.

As we are given a 6-sided dice therefore,

Total possible outcomes = 6

Favorable outcomes (that is less than 5) = 4                 [that are; 1, 2, 3, 4]

probability = number of favorable outcomes/number of possible outcomes

probability = 4/6

4/6 = 2/3

= 0.6666666666666

To round the value to three decimal places, we need to see if the fourth value after decimal is more than 5 or not. If it is more than 5, preceding digit is increased by 1. therefore, by applying the rule to the value we get

= 0.667                         [rounded to three decimal places as needed]

therefore, the probability of the event given, that is rolling a number less than 5 is 0.667.

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Answer:

Each answer is negative

Each equation has a four within it, either negative or positive

Step-by-step explanation:

-4x3=-12

3x-4=-12

5x-4=-20

Answer:

I forget about these theorems and such, but pretty sure this is the Hypotenuse - Leg congruence theorem.

Step-by-step explanation:

As the name infers, you need the length hypotenuse and the length of one leg of each triangle. This is because you can use Pythagorean to find the last side, turning it into SSS congruence theorem. You also need them both to be right triangles for pythag to work.

Answer:what 2 triangles

Step-by-step explanation:Happy new year btw

Answer:

9.73*4=38.92

Step-by-step explanation:

Type it in your calculator

Answer:68x + 2

Step-by-step explanation:

The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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Answer:

32,577.89

Step-by-step explanation:

used my calculator and just finished this module in school

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

C.

Step-by-step explanation:

Any equation is always infinite. You plug in values to receive values, and since there is an unlimited amount of numbers and values, the graph of the equation will show infinite solutions to the equation.

You can test this by trying to zoom out of your graphing calc. Notice that you'll never be able to get a definite max or min.

Answer:

D. all real numbers where x ≤ –1 or x ≥ 1.

Step-by-step explanation:

The graph of the function  f(x) = (1/x)cos √(x² - 1) is continuous for all real numbers, where - 1 ≤ x ≤ 1. The correct is option C.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

f(x) = (1/x)cos √(x² - 1)

To prove continuous function:

At that value, the limit must exist.

At that value, the function must be defined, and.

And at that point, both the limit and the function must have equal values.

In mathematics, a continuous function is one where a continuous variation of the argument results in a continuous variation of the function's value (i.e., a change without a leap).

As you can see in the attached image.

Function is not defined in between (-1, 1)

And function have a leap in between (-1, 1).

Therefore, the function is continuous for all real numbers, where - 1 ≤ x ≤ 1.

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The instantaneous rate of change of y = √x at x = 2 is √2 / 2.

To find the instantaneous rate of change of y = √x at x = 2, we need to calculate the derivative of the function with respect to x and evaluate it at x = 2.

Taking the derivative of y = √x using the power rule for differentiation, we have:

dy/dx = (1/2) × x^(-1/2)

Now, substituting x = 2 into the derivative expression:

dy/dx = (1/2) × 2^(-1/2)

= (1/2) × √2

= √2 / 2

Therefore, the instantaneous rate of change of y = √x at x = 2 is √2 / 2.

None of the provided options (-1/2, -1/4, -1) are the correct instantaneous rate of change at x = 2.

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Answer:

∠ B = 60°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

10x - 45 is an exterior angle of the triangle , then

10x - 45 = 3x + 4x = 7x ( subtract 7x from both sides )

3x - 45 = 0 ( add 45 to both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Then

∠ B = 4x = 4 × 15 = 60°

Answer:

100%

Step-by-step explanation:

The cards greater than 1 or less than 2 are 1, 2, and 3.

3 cards out of a total of 3 cards.

3/3 = 1

Convert to percentage.

1 × 100 = 100

P(greater than 1 or less than 2) = 100%

Answer:

100%

Step-by-step explanation:

Answer:

thank for the free point

3) 1 1/2 gallons for 3/4 of the room

Answer; 2 gallons for 4/4 of the room

4) 12 1/2 gallons drives 325 miles

Answer; 1 gallon drives 26 miles

When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

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The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).

To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.

Setting y = x + 1 equal to y = 2^x, we have:

x + 1 = 2^x

To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.

For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.

For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.

However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.

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