A random sample of 50 male employees is taken at the end of a year and the mean
number of hours of absenteeism for the years is found to be 63 hours. A similar sample of
50 female employees has mean of 66 hours. Could these samples be drawn from a
population with the same mean and standard deviation 10 hours?​

Answer:

B. Shows relationship between events, explains how one thing happens as a result of another

Step-by-step explanation:

Second option is the correct answer

Answer:

B

Step-by-step explanation:

Area of sector = m/360(πr²)

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Answer: 14 hours

Step-by-step explanation: First I found the unit rate of how much money per hour. So, 357 divided by 17 = 21. So know I know that she earns 21$ per hour. Then, I did 237 divided by 17 which would be 13 remainder 16. Since he only get paid if he works for a full hour, I think the answer would be 14.

\(\begin{array}{ccll} \$&hrs\\ \cline{1-2} 357&17\\ 237&x \end{array}\implies \cfrac{357}{237}=\cfrac{17}{x}\implies \implies \cfrac{119}{79}=\cfrac{17}{x}\implies 119x=1343 \\\\\\ x = \cfrac{1343}{119}\implies x = \cfrac{79}{7}\implies x = 11\frac{2}{7}\leftarrow \textit{11 hours, 17 minutes and 8 seconds}\)

The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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where is the question?

From the exercise we have

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

6.11/104

Answer:

The unit rate is about 10 cents per fluid once of grape of juice.

Step-by-step explanation:

Answer:

12 cups

Step-by-step explanation:

The ratio he uses is

2 parts strong coffee

3 parts milk

Let's say he makes a recipe exactly like the amounts of the ratio.

2 cups strong coffee

3 cups milk

Total: 2 cups + 3 cups = 5 cups

He wants to make 30 cups, so 5 cups is not enough.

Let's double the amounts of the recipe keeping the same ratio of 2 to 3.

2 × 2 = 4 cups strong coffee

3 × 2 = 6 cups milk

Total: 4 cups + 6 cups = 10 cups

He wants to make 30 cups, so 10 cups is not enough.

We can keep on going up by multiplying the numbers in the ratio by larger numbers, but there is a quicker way.

We need to multiply both numbers in the ratio by a number, let's call it x, so that when both numbers in the ratio are multiplled by x, and the ingredients are added, we end up with 30 cups.

Multiply both numbers in the ratio by x.

2x cups of strong coffee

3x cups of milk

Now add: the total amount will be 5x cups

We want 30 cups, so

5x = 30

Solve for x.

x = 30/5 = 6

x, the multiplier we need is 6.

2x cups strong coffee = 2(6) cups = 12 cups

3x cups milk = 3(6) cups = 18 cups

Answer: 12 cups

Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

The slope of the tangent line of the function at x=-2 is; -8.

The slope of the line tangent to the given function; f(x) can be determined from the line f'(x) as follows;

The slope of the tangent lines in each case can then be evaluated as follows;

Hence, the slope of the tangent line of the function, f(x) = 2x² +1 can then be evaluated by substituting, x=-2 into f'(x) as follows;

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If the length of OB was ³/₄, then the length of OB' after dilation is; Option B: 3 units.

What this means is that it was enlarged by a scale factor of 4 with point O as the center of dilation.

Scale factor = new dilated length OB'/(³/₄)

new dilated length OB' = ³/₄ × 4

new dilated length OB' = 3 units

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Answer:

its 4 units trust just answered it

Step-by-step explanation:

The length of side KL is approximately 4.8 cm.

To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all sides of the triangle. In other words:

a/sin(A) = b/sin(B) = c/sin(C)

Where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the angles opposite those sides.

Using the Law of Sines, we can set up the following proportion:

l/sin(L) = m/sin(M)

Where l is the length of side KL, L is the measure of angle KLM (which is 72 degrees), m is the length of side LM, and M is the measure of angle KML (which we can find by subtracting L from 180 degrees).

M = 180 - L

= 180 - 72

= 108 degrees

Now we can substitute the given values into the proportion and solve for l:

l/sin(72) = 5.9/sin(108)

l = sin(72) * (5.9/sin(108))

≈ 4.8 cm (rounded to the nearest 10th of a centimeter)

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The absolute minimum of the function is f ( -10 ) = -1

Given data ,

Let the function be represented as f ( x )

Now , the function f ( x ) is plotted on the graph

where the minimum of a function is the smallest value that the function takes on over its entire domain.

It is the point on the graph of the function that is the lowest possible point

So , the function has the minimum value of - 1 at the point x = -10

Hence , the minimum of function is f ( -10 ) = -1

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Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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Answer:

Step-by-step explanation:

We can start by using the fact that the chain fits tightly around both gears, which means that the length of the chain is equal to the sum of the circumferences of the two gears. Let r be the radius of the smaller gear. Then we have:

circumference of larger gear + circumference of smaller gear = length of chain

2π(19) + 2π(r) = 32π

Simplifying this equation, we get:

38π + 2π(r) = 32π

2π(r) = -6π

r = -3

The scenarios that can be considered a seller-based discount are:

A. The offer by Wire and Cable

B. Carfna's Fine Foods

C. Mouser Electronics offer

E. Carchex Car Maintenance

A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.

The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.

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If cos x=1/4 and 0 <x< 90°, find tan x.

Let's first use the Pythagorean identity to find sin x:

sin^2 x + cos^2 x = 1

sin^2 x + (1/4)^2 = 1

sin^2 x = 15/16

sin x = sqrt(15)/4

Now, we can use the definition of tangent to find tan x:

tan x = sin x / cos x

tan x = (sqrt(15)/4) / (1/4)

tan x = sqrt(15)

Therefore, tan x = sqrt(15).

If sinx =2/3 and 0° < x < 90°, find cos x.

Again, we can use the Pythagorean identity to find cos x:

sin^2 x + cos^2 x = 1

(2/3)^2 + cos^2 x = 1

cos^2 x = 5/9

cos x = sqrt(5)/3

Therefore, cos x = sqrt(5)/3.

6a. The equation for the graph is y = 2√(x + 5).

6b. The equation for the graph is y = -|x + 1| + 5

In Mathematics and Geometry, the standard form of a square root function can be modeled as follows;

y = a√(x - h) + k

Part 6a.

Next, we would determine value of a as follows;

4 = a√(-1 + 5) + 0

4 = a√4

4 = 2a

a = 2

Therefore, the required square root function is given by;

y = 2√(x + 5)

Part 6b.

Since the line representing the absolute value function has a y-intercept at (0, 4) and vertex at (-1, 5), the absolute value equation for the graph is given by:

y = a|x - h| + k

y = -|x + 1| + 5

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Answer:

2.5

Step-by-step explanation:

y=ax+b

9= -2a+b <=> b= 9+2a

34=8a+b = 8a+9+2a = 10a + 9

a = (34-9)/10 = 2.5

Answer:

Step-by-step explanation:

Use the slope formula:

Expression for given numerical is: 9+ (2/x)

Given that we have an word equation that is 9 more than the quotient of 2 and  x

A quotient is a quantity produced by the division of two numbers.

Quotient of 2 and x is \(\frac{2}{x}\).

Nine(9) more  than 2/x is = 9+ (2/x)

So we have an expression that is:

              9+ (2/x)                          

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Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

Answer:

2/5

Step-by-step explanation:

3*8=24, and 4*15=60,fraction now becomes 24/60 simplied by 12 (24/60 divide by 12 both factors) equals 2/5

Answer:

12, 24, 36, 48, 60, 72, 84, 96

Step-by-step explanation:

The smallest natural number that is a common multiple of 3 and 4 is 12. The answer is all multiples of 12 less than 100.

Answer: 12, 24, 36, 48, 60, 72, 84, 96

A polynomial is considered rational if it can be written as a polynomial divided by a polynomial.

Any function that can be expressed as a rational fraction in mathematics—an algebraic fraction in which the numerator and denominator are both polynomials—is referred to as a rational function.

Here,

Given :f (x) = 4/x-3+2.

=> vertical asymptotes :

=> 4/x

and

horizontal asymptotes :

=> -1

The rational function is (x/y)where y≠ 0

So,

x≠0.

can be a rational function for them.

Oblique, vertical, and horizontal asymptotes are the three forms of asymptotes that make up the different types of rational functions. The maximum number of horizontal or oblique asymptotes for a rational function is one, although there can be multiple vertical asymptotes.

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In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.

The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.

In general, the choice of significance level depends on the specific application and context of the statistical analysis.

The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.

The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.

A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.

A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.

For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

103/140

or

0.74

Step-by-step explanation:

9/28 +29/70

taking L.C.M of 29 and 70

= (9×5 + 29×2)/140

= (45 + 58)/140

= 103/140

= 0.74