20 "-120" "-20" 440 "-200" "-140" "-180" 460 which two numbers are opposites

The concept that means "the way in which the work required to produce a good or service is divided into a number of tasks that are performed by different workers" is Division Of Labor .

The Division Of Labor is to divide the process into a number of tasks, where each task is performed by a separate person or a group of persons.

This concept is applied in systems of mass production and it is one of basic organizing principles of assembly line.

The Breaking down of the work into simple repetitive tasks eliminates the unnecessary motion and limits handling of different tools and parts.

Therefore , dividing the work into number of tasks to produce good is termed as Division Of Labor .

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To calculate the probability of missing 5 or more free throws in a randomly selected game, we can use the binomial distribution formula. The result is the probability of the player missing 5 or more free throws in a randomly selected game.

P(X >= 5) = 1 - P(X < 5)

where X is the number of free throws missed out of 12 and P(X < 5) is the probability of missing less than 5 free throws.

To find P(X < 5), we can use Excel or a binomial probability table. Using Excel, we can use the formula:

=BINOM.DIST(4,12,0.25,TRUE)

where 4 is the number of free throws missed, 12 is the total number of free throws, 0.25 is the probability of missing a free throw, and TRUE specifies that we want the cumulative probability up to and including X = 4.

This gives us P(X < 5) = 0.675, so

P(X >= 5) = 1 - 0.675 = 0.325

Therefore, the probability of missing 5 or more free throws in a randomly selected game is 0.325 or approximately 32.5%. It is important to note that this probability does not necessarily indicate that the player was nervous or failed, as it could simply be due to chance or other factors.

To calculate the probability of the basketball player missing 5 or more free throws in a randomly selected game, we can use the binomial probability formula or Excel's built-in function BINOM.DIST.

Here's a step-by-step explanation:

1. Identify the variables:
  - n (number of free throws): 12
  - p (probability of missing a free throw): 0.25
  - x (number of missed free throws): 5 or more

2. Calculate the probability of missing exactly 5, 6, 7, ... up to 12 free throws using the binomial probability formula or Excel's BINOM.DIST function:

  In Excel, for each value of x from 5 to 12, use the following formula:
  =BINOM.DIST(x, n, p, FALSE)

  For example, for x=5:
  =BINOM.DIST(5, 12, 0.25, FALSE)

3. Sum the probabilities for missing 5 to 12 free throws to find the probability of missing 5 or more:

  In Excel, sum the probabilities obtained in step 2:
  =SUM([Probability_x=5], [Probability_x=6], ... ,[Probability_x=12])

4. The result is the probability of the player missing 5 or more free throws in a randomly selected game.

By following these steps, you can calculate the probability and determine if the fans' belief that the player failed due to nervousness is justified or if it is within the expected range of missed free throws.

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Answer:

x<12

Step-by-step explanation:

less than is this sign: <

Since sin(a) is negative and a is in the third quadrant, we can use the Pythagorean identity to find cos(a):

\(cos^2(a) + sin^2(a) = 1\)

\(cos^2(a) + (-4/5)^2 = 1\)

\(cos^2(a) = 9/25\)

cos(a) = -3/5 (since a is in the third quadrant)

Similarly, since sec(B) = 5/3, we can use the definition of secant to find cos(B):

sec(B) = 1/cos(B) = 5/3

cos(B) = 3/5

(a) To find sin(a + B), we can use the sum formula for sine:

sin(a + B) = sin(a) cos(B) + cos(a) sin(B)

= (-4/5)(3/5) + (-3/5)(4/5)

= -12/25 - 12/25

= -24/25

(b) To find tan(a + B), we can use the sum formula for tangent:

tan(a + B) = (tan(a) + tan(B)) / (1 - tan(a) tan(B))

To find tan(a), we can use the identity: \(tan^2(a) + 1 = sec^2(a)\)

\(tan^2(a) = sec^2(a) - 1 = (5/3)^2 - 1 = 16/9\)

tan(a) = -4/3 (since a is in the third quadrant)

To find tan(B), we can use the identity: tan(B) = sin(B) / cos(B) = 4/3

Plugging these values into the formula for tan(a + B), we get:

tan(a + B) = (-4/3 + 4/3) / (1 + (-4/3)(4/3))

= 0 / (1 - 16/9)

= 0

(c) To determine the quadrant containing a + B, we need to consider the signs of sin(a + B) and cos(a + B).

From part (a), we know that sin(a + B) is negative. To determine the sign of cos(a + B), we can use the Pythagorean identity:

\(sin^2(a + B) + cos^2(a + B) = 1\)

Substituting sin(a + B) = -24/25, we get:

\((-24/25)^2 + cos^2(a + B) = 1\)

\(cos^2(a + B) = 1 - (-24/25)^2\)

cos(a + B) = ±7/25

Since cos(a + B) is positive in the first and fourth quadrants, and negative in the second and third quadrants, we can conclude that a + B is in the third quadrant, since cos(a + B) is negative and sin(a + B) is negative.

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The statement is TRUE. Extrapolation in regression analysis refers to using the line of best fit to predict values that lie outside the range of the observed data.

It involves extending the regression line beyond the observed data points to estimate values for variables that are beyond the range of the data. However, it's important to note that extrapolation can be risky because it assumes that the relationship between the variables continues outside the observed range, which may not always be valid. Extrapolation should be done with caution and its results should be interpreted carefully.

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Answer:

Part A: Sally paid less money per pound than Fred did

Part B: John paid $3.58 for 5.5 pounds of apples at the Grocery Mart

Part C: y = 0.65x

Step-by-step explanation:

Part A:

Sally: 1.5/2.5 = x/1

cross multiply: 2.5x = 1.5*1

simplify: 2.5x = 1.5

divide both sides by 2.5: x = 0.6

Fred: 1.95/3 = x/1

cross multiply: 3x = 1.95*1

simplify: 3x = 1.95

divide both sides by 3: x = 0.65

Fred paid 65¢/pound while Sally paid 60¢/pound

Part B:

price/pound*amount John bought: 0.65/1 = x/5.5

cross multiply: 1x = 0.65*5.5

simplify: x = 3.575

Part C:

y = 0.65x

Answer: G = (Whatever value x 12 is less than 48)

Step-by-step explanation:In this scenario, we need a value where as 48 is greater. This could a value like 3.

Answer:

I think its 4

Step-by-step explanation:

don't really know how to but its simple really

The five-number summary suggests that about 75% of salons in Jamesville have fewer than 15 stylists.

A box plot has 5 data descriptions.

Since the Q₁, Median(Q₂), and Q₃ divide the data into 4 parts such that each part represents 25% of the data. Therefore, The five-number summary suggests that about 75% of salons in Jamesville have fewer than 15 stylists, this is represented by the third quarter.

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Sides of a square are all the same.

4(x-2) = (5x-20)

Distribute the left side:

4x -8 = 5x-20

Subtract 4x from both sides:

-8 = x -20

Add 20 to both sides:

X = 12

Now replace x with 12 and solve for the length:

5(12) -20 = 60-20 = 40

The sides are 40 cm long.

Answer:

1.x=0, –10

2.x=3, 4

Step-by-step explanation:

1.

x(x+10)=0===> x=0, –10

2.

x²–3x–4x+12===> x²–7x+12=0

(x–3)(x‐4)=0====> x=3, 4

Solution

For this case the total price represent 2.79

The tax on this case was 0.16

We can find the percent of the tax rate with the following operation:

And rounded to the nearest percent we got:

6%

Answer: $0.06 per inch

Concept:

When encountering questions that ask for unit price, follow the statements to get the answer. For example, this question asks the price per inch. Therefore, in the actual answer, use the total price given divided by the number of inches.

Solve:

Price = $6.48

Inch = 9 × 12 = 108 in

Price / Inch = 6.48 / 108 = $0.06 per inch

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(0 , 25)

Step-by-step explanation:

y = 4x + 25 is our equation.

The formula used is y = mx + b where:

m = slope

x = independent variable

b = constant/y - intercept

Based on that knowledge we can tell that 25 is our y intercept.

True. Rational functions are defined as the division of two polynomials. These functions are limited in their scope and, as a result, have specific properties. One such property is the existence of vertical asymptotes.

Vertical asymptotes occur when the denominator of a rational function approaches zero, resulting in a discontinuity in the graph of the function, or a point at which the function can approach but never reach. This creates a divide in the graph, resulting in two halves with a vertical line at the point where the denominator equals zero. This vertical line is the vertical asymptote of the rational function. In conclusion, all rational functions have vertical asymptotes due to their limited scope and specific properties.

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Answer:

40

7 Remainder

Answer:

407/10= 40.7

Step-by-step explanation:

Answer:

32,768 ways

Step-by-step explanation:

True/ false questions = 5 ; number of options = 2 (True or false)

Ways of answering = 2^5 = (2 * 2 * 2 * 2 * 2) = 32

Number of Multiple choice questions = 5

Number of options (A - D) = 4 options

Ways of answering = 4^5 = (4 * 4 * 4 * 4 * 4) = 1024

32 * 1024 = 32,768 ways

Answer:

Your answer is 1000

Step-by-step explanation:

Anything times 1 is itself

I hope this helps you :)

Answer: D) From attacks by other nations

Step-by-step explanation:

Answer: D. from attacks by other nations.

Step-by-step explanation:   TRUST ME!!! Answer correct on Edge!  :)

Answer:

Step-by-step explanation:

We got two shapes in the given figure,on the right we got a rectangle and on the left we have a square.

Area of rectangle:-

Area of square :-

Total area :-

Answer:

Step-by-step explanation:

you have two rectangles, the bigest has the base of 6cm and the height of 4cm, the area is 6 * 4 = 24cm ^ 2, the other rectangle has the base of 6 - 4 = 2 and the height of 5 - 4 = 1, 2*1=2.

we add the dimensions and we have the area of ​​the complete figure 24 + 2 =

26 cm ^ 2

The error expression of  |A - N| in the given problem is: Absolute Error

The absolute error is gotten by subtracting the true value from the measured value. The answer is normally expressed as ± or with an absolute value sign. The absolute error equation is expressed as: Absolute error = |measured value - true value|

Relative error is defined as a measurement of error that depends on the absolute error of a measuring tool as well as a measured value. Relative error can thus be defined as a decimal or as a percentage.

Now, we are told that

A is an actual value.

N is near the value,

From the definition of absolute error, we can clearly state that |A - N| is known as absolute error.

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We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

Option (B) is the correct answer.

A company plans to spend $8,000 in year 2 and $10,000 in year 4. At an interest rate of 10% per year, compounded semiannually. The equation that represents the equivalent annual worth A in years I through 4 is given by option (B).That is;Option (B) represents the equation that represents the equivalent annual worth A in years I through 4.

The formula for equivalent annual worth is given by;A = PW (A/P, i, n) + F(A/F, i, n)where,PW = Present WorthF = Future WorthA/P = Present Worth FactorA/F = Future Worth Factori = interest raten = number of yearsSo,A = 8000(P/A, 10/2,2) + 10000(F/A, 10/2,4)A = 8000(3.1051) + 10000(0.6848)A = 24,840.80 + 6848A = $31,688.80The equation that represents the equivalent annual worth A in years I through 4 is represented by the option (B);A = 8000(P/A, 10.25/2,2) + 10000(F/A, 10.25/2,4).

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Unit rate for first graph = 52 mph

Unit rate for 2nd graph = 67 mph

The two graphs given plot two linear relationships between Distance travelled (mi) and Time (hr.). We need to find the unit rate for each.

Unit rate is the speed calculated when the time is unity, i.e., when time = 1 hr. on both the graphs.

On the first graph the co-ordinate marked is (1,52), which implies the Distance travelled = 52 miles and Time = 1 hr

So the speed = Distance travelled/ Time

                      = 52/1

                      = 52 mph

Thus, the unit rate = 52 mph

On the second graph two co-ordinates are given which are (3,201) and (4,268).

Consider any one co-ordinate to find the speed in this case. Also this speed will be constant as the graph is a straight line between the Distance travelled and the Time.

So consider (3,201) which means Distance travelled = 201 miles and Time = 3 hr

So the speed = Distance travelled/Time

                       = 201/3

                       = 67 mph

Unit rate is the speed when time = 1 hr

Since this speed is constant everywhere on the second graph, the speed when time = 1 hr is also 67 mph.

Hence the unit rate = 67 mph

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The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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Answer:

5

Step-by-step explanation:

Since 1 and 3 on the number line are two tick marks apart from eachother that means the scale of the number line is each tick mark is equal to 1. Therefore, 2 tick marks above 3 will be 3 + 2 which is 5.

Hope this helps :)

Answer:

Slope m = 4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

[Slope-Intercept] y = 4x - 1

Step 2: Break Function

Identify Parts.

Slope m = 4

y-intercept b = -1

Answer:

y=  3x + 8

Step-by-step explanation:

y = mx + b

m = 3 inches of water added each day

x = 8 inches of water at start

y=  3x + 8 is the required equation.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher.

We have,

m = 3 inches of water added each day

x = 8 inches of water at start

Converting in y = mx + b, we get,

y = 3x+8

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The length and width of the rectangle is 17 cm and 13 cm .

Let's assume the width of the rectangle to be x cm.

According to the question, the length of the rectangle is 4cm longer than its width.

Therefore, the length will be (x + 4) cm.

Now, Perimeter of the rectangle will be:

Perimeter = 2(length + width)

Substituting the values of length and width in the given formula, we get:

P = 2(x + 4 + x)

i.e., P = 2(2x + 4)

i.e., P = 4x + 8                                         ...(1)

According to the question, the perimeter of the rectangle is 60cm. Substituting this value in the equation (1), we get:

4x + 8 = 60

Now, subtracting 8 from both sides, we get:

i.e., 4x = 52

And, dividing both sides by 4, we get:

i.e., x = 13

Therefore, the width of the rectangle is 13 cm.

Now, substituting the value of width in the formula, we get:

L = x + 4

i.e., L = 13 + 4

i.e., L = 17

Therefore, the length of the rectangle is 17 cm.

Hence, the dimensions of the rectangle are 13 cm x 17 cm.

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