A company has 3 employees, and each employee earns $15.50 an hour. The employees worked for 8 hours at regular pay and then for 2 hours at a higher overtime rate. The overtime rate is an extra $7.00 per hour. How much in total did the company pay the employees?​

Answer:

5.0 inches

Step-by-step explanation:

The formula for the volume of a sphere is:

\(\boxed{V=\dfrac{4}{3}\pi r^3}\)

where r is the radius of the sphere.

Given a sphere has a volume of 65.5 cubic inches, substitute V = 65.5 into the formula and solve for the radius, r:

\(\begin{aligned}\implies \dfrac{4}{3}\pi r^3&=65.5\\\\3 \cdot \dfrac{4}{3}\pi r^3&=3 \cdot 65.5\\\\4\pi r^3&=196.5\\\\\dfrac{4\pi r^3}{4 \pi}&=\dfrac{196.5}{4 \pi}\\\\r^3&=15.636973...\\\\\sqrt[3]{r^3}&=\sqrt[3]{15.636973...}\\\\r&=2.50063840...\; \sf in\end{aligned}\)

The diameter of a sphere is twice its radius.

Therefore, if the radius is 2.50063840... inches, then the diameter is:

\(\begin{aligned}\implies d&=2r\\&=2 \cdot 2.50063840...\\&=5.00127681...\\&=5.0\; \sf in\;(nearest\;tenth)\end{aligned}\)

Therefore, the diameter of a sphere with a volume of 65.5 cubic inches is 5.0 inches, to the nearest tenth of an inch.

Answer:

5 cm

Step-by-step explanation:

The formula to find the volume of a sphere is:

\(\sf V =\frac{4}{3} \pi r^3\)

Here,

V ⇒ volume ⇒ 65.5 cm³

r ⇒ radius

Let us find the value of r.

\(\sf V =\frac{4}{3} \pi r^3\\\\65.5=\frac{4}{3} \pi r^3\\\\65.5*3=4 \pi r^3\\\\196.5=4 \pi r^3\\\\\frac{196.5}{4} =\pi r ^3\\\\49.125=\pi r^3\\\\\frac{49.125}{\pi} = r^3\\\\15.63=r^3\\\\\sqrt[3]{15.63} =r\\\\2.5=r\)

Let us find the diameter now.

d = 2r

d = 2 × 2.5

d = 5 cm

The absolute value of the elasticity coefficient for Toasty Hands' gloves is 394,265.23.

The elasticity coefficient is calculated as follows:

Elasticity coefficient = (Change in demand)/(Change in price) * (Original price)/(Original demand)

In this case, the change in demand is 540,000 - 440,000 = 100,000 pairs. The change in price is 239 - 279 = -40. The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get:

Elasticity coefficient = (100,000)/(-40) * (279)/(440,000) = -394,265.23

The absolute value of the elasticity coefficient is 394,265.23. This means that the demand for Toasty Hands' gloves is elastic, meaning that a small change in price will lead to a large change in demand.

Here is a more detailed explanation of the calculation:

The change in demand is calculated by subtracting the original demand from the new demand. In this case, the new demand is 540,000 pairs, and the original demand is 440,000 pairs. So the change in demand is 540,000 - 440,000 = 100,000 pairs.

The change in price is calculated by subtracting the original price from the new price. In this case, the new price is $239, and the original price is $279. So the change in price is 239 - 279 = -40.

The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get the elasticity coefficient of -394,265.23.

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Answer:

9+(4)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The factors of 26 are:

1, 2, 13, 26

The factors of 35 are:

1, 5, 7, 35

The common factors are:

1

The required greatest common factor(GCF) of 35 and 26 is 1.

The greatest Common Factor is defined as the greatest number that is a factor of both numbers when two numbers are involved.

A number that divides into another number completely is said to be a factor.

The numbers are given in the question, as follows:

35 and 26

We have to determine the greatest common factor of 35 and 26

Prime factorization of the numbers:

35 = 5 × 7

26 = 2 × 13

GCF(35, 26)

= 1

Hence, the required greatest common factor of 35 and 26 is 1.

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Determined by various factors such as sample size, statistical significance, and the chosen level of confidence. the probability that the test will fail to decide that the true value is 72.5 when it is indeed 72.5.  

In order to calculate the probability of a Type II error, one would need to know the specific details of the test being used, such as the sample size, the statistical power of the test, and the chosen level of significance.

In general, the probability of a Type II error increases as the sample size decreases and the level of significance decreases. This means that if the test being used is not sufficiently powered or if the level of confidence is too low, there is a higher probability of failing to detect a true effect.

If the test is not able to accurately determine if the statement is true or not when the actual value is 72.5, then there is a possibility that a Type II error has occurred. The probability of this error depends on the specific details of the test being used and cannot be determined without further information.

The probability of a test failing to decide a certain hypothesis is true, when it is actually true, can be determined using the concept of Type II error or false negative rate. In statistical hypothesis testing, Type II error (β) refers to the probability of failing to reject a false null hypothesis. These factors influence the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false. The power of the test (1 - β) is complementary to the probability of making a Type II error.

In this case, the null hypothesis (H0) could be that the value is not equal to 72.5,

while the alternative hypothesis (H1) states that the value is equal to 72.5.

The probability you are looking for is the Type II error rate when the true value is 72.5.

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Answer:

Yes, it does

Step-by-step explanation:

When we add a number to its additive inverse, the resulting value is zero

The first case is running up 10 flights which we consider positive

then he runs down 10 flights of stairs; this we can consider as - 10

So adding this together, we have -10 + 10 to give zero

What this mean is that we have added a number to its additive inverse

True, an iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because iterative algorithms use loops to repeat a set of instructions, whereas recursive algorithms call themselves repeatedly until they reach a base case.

An iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because recursive algorithms often involve function calls, which have overhead costs such as saving and restoring the call stack. In contrast, iterative algorithms use loops and do not require the same overhead, making them more efficient in terms of both time and memory usage.

However, it's important to note that some problems may be more elegantly or intuitively solved using recursion, even if it's less efficient. The repeated function calls in a recursive algorithm can lead to slower performance and higher memory usage compared to the more direct approach of an iterative algorithm.

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9514 1404 393

Answer:

Step-by-step explanation:

Your knowledge of multiplication facts tells you 3×5 = 15. Your knowledge of addition facts tells you 3+2 = 5. So, the dimensions 3 cm and 5 cm are the width and length of the rectangle, respectively.

Answer:

(x - 2)² + (y - 6)² = 4

Step-by-step explanation:

Equation of a circle is given by,

(x - h)² + (y - k)² = r²

Here, (h, k) is the center of the circle

r = Radius of the circle,

From the graph attached,

Center of the circle → (2, 6)

Radius of the circle = 2 units

Therefore, equation of the circle will be,

(x - 2)² + (y - 6)² = 2²

(x - 2)² + (y - 6)² = 4

Answer:

The slope is 20x

The y-intercept is 175

Even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

Let R be a relation that is reflexive and transitive. We want to prove that R2 = R for any relation R with these two properties.

To prove this, we need to show that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R.

First, let's consider (a, b) ∈ R2. By definition, (a, b) ∈ R2 means that there exists an element c such that (a, c) ∈ R and (c, b) ∈ R.

Since R is reflexive, we know that (a, a) ∈ R and (b, b) ∈ R.

By the transitivity of R, if (a, c) ∈ R and (c, b) ∈ R, then (a, b) ∈ R.

Therefore, (a, b) ∈ R2 implies (a, b) ∈ R.

Now, let's consider (a, b) ∈ R. Since R is reflexive, we have (a, a) ∈ R and (b, b) ∈ R.

By the definition of R2, (a, a) ∈ R2 and (b, b) ∈ R2.

Since R is transitive, if (a, a) ∈ R2 and (a, b) ∈ R2, then (a, b) ∈ R2.

Therefore, (a, b) ∈ R implies (a, b) ∈ R2.

We have shown that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R. Hence, R2 = R.

If the relation R is anti-reflexive, it is not necessarily true that R2 is anti-reflexive.

To understand why, let's consider an example. Let R be a relation defined on the set of integers such that R contains the ordered pairs (a, b) where a < b.

In this case, R is anti-reflexive because for any integer a, (a, a) is not in R.

Now, let's consider R2. R2 is the composition of R with itself. If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R2.

In our example, if we take a = 1, b = 2, and c = 3, we have (1, 2) ∈ R and (2, 3) ∈ R. Therefore, (1, 3) ∈ R2.

However, (1, 1) is not in R2 because (1, 1) is not in R. Therefore, R2 is not anti-reflexive in this case.

This example demonstrates that even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

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The total number of five-digit odd numbers is 864 + 216 = 1080

The units digit must be one of 7 or 9 to make a five-digit odd number. The last four digits can be any of the six provided digits, and they can be repeated.

So we have two scenarios:

Case 1: The first digit of the units is 7.

In this scenario, we have four options for the initial digit (2, 4, 6, or 8) and six options for the following digits. As a result, the total number of five-digit odd numbers is:

4 x 6 x 6 x 6 = 864

Case 2: The unit digit is nine.

In this scenario, we only have one option for the initial digit (7) and six options for the other digits.

As a result, the total number of five-digit odd numbers is 864 + 216 = 1080

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Answer:

c

Step-by-step explanation:

i took the test

Answer:

B.

Step-by-step explanation:

The expression that represents the sum of the interior angles of a polygon with 14 sides is: B. 180(14 - 2).

The formula for the sum of the interior angles of a polygon is given as, 180(n - 2), where n is the number of sides of the polygon.

For a 14-sided polygon, the sum of the interior angles would be:

180(14 - 2).

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Answer:

this doesnt make sense sorry

Step-by-step explanation:

im trying to help

yes, it is direct proportion becuz in direct proportion if the prize of one quantity increases the other too will have to increase. here in this question as you can see 5melons were costing 3.50 and on increasing it to 7 melons cost is too increasing soo it is a direct proportion.

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The required quadratic equation is: y = -0.75x² + 16x + 2

The general form of expression of a quadratic equation is:

y = ax² + bx + c

Now, from the given function table, we see that:

When x = 0, y = 2

When x = 2, y = 31

When x = 4, y = 54

When x = 6, y = 71

When x = 8, y = 82

Thus at (0, 2), we have:

a(0)² + b(0) + c = 2

Thus, c = 2

At (2, 31), we have:

a(2)² + b(2) + 2 = 31

4a + 2b = 29   -----(1)

At (4, 54), we have:

a(4)² + b(4) + 2 = 54

16a + 4b = 52   ----(2)

Solving simultaneously gives:

a = -0.75 and b = 16

Thus, the quadratic equation is:

y = -0.75x² + 16x + 2

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The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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The total number of social security numbers that are possible are 900,000,000.

In the social security number first digit can only fall between 1 and 9, leaving us only nine options because the first three digits cannot all be zeros. There are still 10 possibilities for each of the second and third digits because they may both still be any integer between 0 and 9.

Therefore, the total number of different social security numbers that can be formed is using the combinations,

= 9 × 10⁸

= 900,000,000

So, there are 900,000,000 different possible social security numbers.

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Based on the given options, the linear inequality that represents the graph below is C. y ≥ -3x + 1

To determine the correct option, we need to analyze the characteristics of the graph. Looking at the graph, we observe that it represents a line with a solid boundary and shading above the line. This indicates that the region above the line is included in the solution set.

Option A, y > (-3/6)x + 1, does not accurately represent the graph because it describes a line with a slope of -1/2 and a y-intercept of 1, which does not match the given graph.

Option B, y ≥ x + 1, also does not accurately represent the graph because it describes a line with a slope of 1 and a y-intercept of 1, which is different from the given graph.

Option D, y > x + 1, is not a suitable representation because it describes a line with a slope of 1 and a y-intercept of 1, which does not match the given graph.

Only Option C. y ≥ -3x + 1.

This is because the graph appears to be a solid line (indicating inclusion) and above the line, which corresponds to the "greater than or equal to" relationship. The equation y = -3x + 1 represents the line on the graph.

Consequently, The linear inequality y -3x + 1 depicts the graph.

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No, blinding was not demonstrated in the experiment because the volunteers knew whether they are drinking purple juice or yellow juice.

Blinding is the process of hiding a participant's group assignment from one or more other participants in a clinical research study, most frequently a randomized controlled trial (RCT).

Although the candy has the same flavour as the drink, participants can tell the difference based on colour. No, because the participants are aware of whether they are consuming yellow or purple juice.

To create a yellow or pink candy, two separate additives that don't affect flavour are added to identical sweets.

In each experiment, group allocations are concealed from data analyzers by blinding or masking. This experiment is not a blinding demonstration since the subject is aware of the juice.

As a result, adolescent volunteers are at random allocated either pink candy or yellow candy, both of whom are aware of the juice.

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Answer:

Let "n" be the number.

n+15=41

n=41-15

n=26

Let me know if this helps!

Answer:

26

Step-by-step explanation:

41-15 is 26

Answer:

y=-4x+5

Step-by-step explanation:

A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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If money were valued in terms of how many minutes a person needs to work to buy a dollar, an increase in the number of minutes of work needed would be an increase in the price of money.

A person needs to work for 2 minutes to buy a dollar. If there is an increase in the number of minutes of work needed, say to 3 minutes to buy a dollar, then the price of money (dollar) has increased or it has appreciated.

The time value of money (TVM) is the idea that an amount of cash is worth more now than a similar aggregate and will be sometime not too far off because of its profit possible in the meantime. The time worth of cash is a central guideline of money. A sum of cash in the hand has more prominent worth than a similar aggregate to be paid from here on out. The time worth of cash is likewise alluded to as the present limited esteem.

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Answer:

así que para el primero simplemente ignora la x y la y porque cinco y tres son ocho y lo mismo con el segundo problema es igual a lo que dice

Step-by-step explanation:

de nada!!!

False. Graphing a function of several variables is not always done in an x, y, z axis. While the x, y, z axis is a common way to graph functions with three variables, there are many other ways to visualize functions with more than three variables. For example, contour plots and heat maps are commonly used to graph functions with two or more variables.

Additionally, graphing functions with more than three variables can become increasingly complex and difficult to visualize in a traditional x, y, z axis. Therefore, mathematicians and scientists often use specialized software and techniques to graph these functions in more effective ways.

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The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

each box cost 7$ Hope this helps

Step-by-step explanation:

70 divided by 10 equals 7.

Answer:

Each box of cereal costs $7

Step-by-step explanation:

70 / 10 = 7