Find the subtotal and the total deposit.
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CASH
CHECKS
Currency
Coins
List Separately
117-4
71-97
Subtotal
Less Cash Received
Total Deposit
DOLLARS CENTS
$594
301
40
44
03
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Marta's theory lacks practical significance or real-world applicability.

Marta's theory suggests that filling out a job application in crayon leads to a lower probability of being hired.

However, she mentions that almost nobody fills out an application in crayon.

This means that the finding or theory has no practical significance because it doesn't affect a significant number of people or have a real impact in real-world scenarios.

If the vast majority of job applicants do not use crayon to fill out their applications, Marta's theory becomes inconsequential because it doesn't provide any meaningful insight or guidance for job seekers.

The theory lacks practical significance because it doesn't have any practical implications or relevance in the context of job applications and hiring processes.

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The statement, Since the probability of observing the outcome (5,002 heads out of 10,000 coin tosses) is low (substantially lower than 0.05), the outcome is strong evidence to against H₀ in favor of H₁ at the significance level of 0.05. is False

Based on the given information, we can calculate the p-value, which is the probability of observing a result as extreme as or more extreme than the observed result, assuming that the null hypothesis (H₀) is true.

If the p-value is less than the significance level (0.05 in this case),

we reject the null hypothesis in favor of the alternative hypothesis (H₁). Otherwise, we fail to reject the null hypothesis.

To calculate the p-value, we can use a statistical test such as a one-tailed z-test. The test statistic z can be calculated as:

=> z = (x - np₀) / √(np₀ × (1-p₀)

Where x is the number of heads observed, n is the sample size (10,000 in this case), and p₀ is the null hypothesis probability of heads (0.5 in this case).

Using the given values, we have:

=> z = (5002 - 100000.5) / √(100000.5 × 0.5) = 0

The z-score of 0 indicates that the observed result is exactly equal to what we would expect under the null hypothesis.

Therefore, the p-value is 1, which is much greater than the significance level of 0.05.

Thus, we fail to reject the null hypothesis that the probability of heads is 0.5 at the 0.05 level of significance. The outcome is not strong evidence against the null hypothesis in favor of the alternative hypothesis.

Therefore,

The statement, Since the probability of observing the outcome (5,002 heads out of 10,000 coin tosses) is low (substantially lower than 0.05), the outcome is strong evidence to against H₀ in favor of H₁ at the significance level of 0.05. is False

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Complete Question:

Suppose there is a coin. You assume that the probability of head is 0.5 (null hypothesis, H₀). Your friend assumes the probability of head is greater than 0.5 (alternative hypothesis, Hz). For the purpose of hypothesis testing (H₀ versus H₁), the coin is tossed 10,000 times independently, and the head occurred 5,002 times.

Since the probability of observing the outcome (5,002 heads out of 10,000 coin tosses) is low (substantially lower than 0.05), the outcome is strong evidence to against H₀ in favor of H₁ at the significance level of 0.05. O True O False

The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

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The values that satisfy the inequality -1/2x + 5>7 are -8 and -6.

To determine which values from the set {-8, -6, -4, -1, 0, 2} satisfy the inequality -1/2x + 5 > 7, we first need to isolate the variable x. Start by subtracting 5 from both sides of the inequality:

-1/2x > 2

Now, multiply both sides by -2 to solve for x. Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign:

x < -4

Now we can see that the inequality is asking for all values of x that are less than -4. Looking at the given set {-8, -6, -4, -1, 0, 2}, we can identify the values that satisfy this condition:

-8 and -6 are the values that are less than -4.

Therefore, the values from the set {-8, -6, -4, -1, 0, 2} that satisfy the inequality -1/2x + 5 > 7 are -8 and -6.

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To determine the minimum thickness of the iron, we need to calculate the diffusion flux of hydrogen through the iron and equate it to the maximum allowed hydrogen loss.

The diffusion flux (J) of hydrogen through a material can be calculated using Fick's first law of diffusion:

J = -D * (∆C/∆x)

Where:

J is the diffusion flux

D is the diffusion coefficient of hydrogen in iron

∆C is the difference in hydrogen concentration across the thickness (∆C = C1 - C2)

∆x is the thickness of the iron

We are given:

Maximum allowed hydrogen loss = 50 g/cm²/year

Temperature (T) = 400 °C (673 K)

Hydrogen concentration at surface 1 (C1) = 0.05 H atom per unit cell

Hydrogen concentration at surface 2 (C2) = 0.001 H atom per unit cell

First, we need to convert the hydrogen concentrations into a common unit. The atomic mass of hydrogen (H) is approximately 1 g/mol. The number of atoms in a unit cell for BCC iron is 2.

Concentration in g/cm³:

C1 = (0.05 H atom/unit cell) * (1 g/mol) / (2 atoms/unit cell) ≈ 0.025 g/cm³

C2 = (0.001 H atom/unit cell) * (1 g/mol) / (2 atoms/unit cell) ≈ 0.0005 g/cm³

Now, we can calculate the difference in hydrogen concentration across the thickness:

∆C = C1 - C2 = 0.025 g/cm³ - 0.0005 g/cm³ = 0.0245 g/cm³

Next, we need to determine the diffusion coefficient of hydrogen in iron at 400 °C. The diffusion coefficient can be estimated using the following equation:

D = D0 * exp(-Q/RT)

Where:

D0 is the pre-exponential factor

Q is the activation energy for diffusion

R is the gas constant (8.314 J/(mol·K))

T is the temperature in Kelvin

For hydrogen diffusion in iron, typical values are:

D0 = 5 x 10^-7 cm²/s

Q = 40,000 J/mol

Plugging in the values:

D = (5 x 10^-7 cm²/s) * exp(-40000 J/mol / (8.314 J/(mol·K) * 673 K))

D ≈ 2.70 x 10^-12 cm²/s

Now, we can substitute the values into Fick's first law of diffusion and solve for the thickness (∆x):

J = -D * (∆C/∆x)

Rearranging the equation:

∆x = -D * (∆C/J)

Substituting the given values:

∆x = -(2.70 x 10^-12 cm²/s) * (0.0245 g/cm³ / (50 g/cm²/year))

Converting the year unit to seconds:

∆x = -(2.70 x 10^-12 cm²/s) * (0.0245 g/cm³ / (50 g/cm²/year)) * (1 year / 3.1536 x 10^7 s)

Calculating:

∆x ≈ -0.000347 cm ≈ 3.47 μm

The negative sign indicates that the thickness (∆x) is measured in the opposite direction of the hydrogen diffusion. Thus, the minimum thickness of the iron required to limit the hydrogen loss to no more than 50 g per year through each square cent.

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Answer:

\(factor \: of \: 6 \\ is \: 6 \\ \\ then \: having \: the \: sum \: 6 + 7 = 13 \: \\ \\ \\ \\ \\ \\ hence \: 13is \: answer\)

Answer:

I believe your answer is 6 and 1 because 6x1=66+1=7

Step-by-step explanation:

May I pls have a brainley

Therefore, the probability of pumping gas into more than 5 cars during the 30-minute period is 0.

To find the probability of an event, we sum the probabilities of the individual outcomes that make up the event. In this case, we want to find the probability that the service station will pump gas into more than 5 cars during the 30-minute period.

The given probabilities for pumping gas into 0, 1, 2, 3, 4, and 5 or more cars are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17, respectively.

To find the probability of pumping gas into more than 5 cars, we need to sum the probabilities of pumping gas into 0, 1, 2, 3, 4, and 5 cars and subtract it from 1:

P(more than 5 cars) = 1 - [P(0 cars) + P(1 car) + P(2 cars) + P(3 cars) + P(4 cars) + P(5 cars)]

P(more than 5 cars) = 1 - (0.03 + 0.18 + 0.24 + 0.28 + 0.10 + 0.17)

P(more than 5 cars) = 1 - 1.00

P(more than 5 cars) = 0

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Answer:

7

Step-by-step explanation:

Answer:

35°

Step-by-step explanation:

Same-Side interior angles (consecutive angles) are supplementary.

Supplementary meaning that those two angles add up to make 180°.

So Angles C is 35°

Answer:

a) 78 oz

b) 84 oz

Step-by-step explanation:

first, you divide 546 by seven because adam is sharing it between him and 6 others. this equals 78 so they each get 78oz of grapefruit.

for the next part of the question, you multiply 12 by 7 to get 84. thats how many oz if grapefruit is not eaten.

The function which models the cost per share, C, with respect to the number of new contributors, n is C = 500 / (n + 5).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Total cost for the table = $500

Each contributor will be paying an equal share for the table.

5 contributors are already there.

Let the number of new contributors be n.

Total number of contributors = n + 5

Let C be the cost per share.

Total cost = Number of contributors × Cost per share

500 = (n + 5) C

C = 500 / (n + 5), which is the required function.

If the cost of each share is $20.00, then,

20 = 500 / (n + 5)

20 (n + 5) = 500

20n + 100 = 500

20n = 400

n = 20

Hence the function is C = 500 / (n + 5) and if cost per share is $20, then the number of new contributors needed is 20.

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Answer:

Down below

Step-by-step explanation:

37 degrees is an acute angle, 105 degrees is an obtuse angle, 76 degrees is an acute angle, 147 degrees is an obtuse angle, 169 degrees is an obtuse angle, 89 degrees is an acute angle, 15 degrees is an acute angle, 179 degrees is an obtuse angle, 180 degrees is a straight angle, 205 degrees is a reflex angle, 360 degrees is a full circle, and 90 degrees is a right angle.

Hope this helps!  :)

Answer:

15 552 in³

Step-by-step explanation:

Since cubes have the same side lengths all around, to find the volume, you need to have one side length and cube it.

Cube 1 : 24³ = 24 x 24 x 24 = 13 824 in³

Cube 2 : 12³ = 12 x 12 x 12 = 1 728 in³

Now, to find the total, just add the volumes.

13 824 + 1 728 = 15 552 in³

The total volume of the cubes is V = 15,552 cubic inches

The formula of volume of the cube is given by:

Volume of Cube = a x a x a

Volume of Cube = a³

where a is the length of its sides or edges

Given data ,

The volume of the first cube with side length of 24 inches is given by:

V1 = (24 inches)³ = 13,824 cubic inches

The volume of the second cube with side length of 12 inches is given by:

V2 = (12 inches)³ = 1,728 cubic inches

The total volume of the two cubes is the sum of their volumes:

Total volume = V1 + V2 = 13,824 + 1,728 = 15,552 cubic inches

Hence , the total volume of the cubes is 15,552 cubic inches

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Answer:

See Explanation

Step-by-step explanation:

So, the uncle has $3000.

The Oldest Niece gets double what the Younger Niece gets half her amount. The nephew gets the total of these 2 combined.

The Youngest Niece gets $500.

500x2=1000

The Oldest Niece gets $1000.

1000+500=1500

The Nephew gets $1500.

1500+1000+500=3000

Answer:

-38x - 14y

Step-by-step explanation:

2[x+2y - 24x - 12y + 4x + 3y]

2 [ -19x -7y]

- 38x - 14y

Answer:

Step-by-step explanation:

Answer:

n < 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: n < 4

Interval Notation:  (  −  ∞ ,  4 )

Hope this helps:)

Answer:

4

Step-by-step explanation:

Simplifying

3n + 8 = 20

Reorder the terms:

8 + 3n = 20

Solving

8 + 3n = 20

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 3n = 20 + -8

Combine like terms: 8 + -8 = 0

0 + 3n = 20 + -8

3n = 20 + -8

Combine like terms: 20 + -8 = 12

3n = 12

Divide each side by '3'.

n = 4

Simplifying

n = 4

I hope this helps!

If you need more help, don't hesitate to ask!

(May I please get brainliest?)

1) Let's begin by enlisting the data orderly from the least to the greatest one.

2) Quartiles

As requested, we need to find the quartiles so let's start out with the 2nd Quartile, i.e. the median.

0,0,0 2, 3,4, 7,7, 8,12,14,15,15,16,18

Note that there are 15 data points, so let's bold the middle number. The one that divides the distribution evenly:

0,0,0,2, 3,4, 7, 7, 8,12,14,15,15,16,18

So the Median or Q2 is 7

b) Quartile 1

Similarly, we can find the median of the first half:

0,0,0,2, 3,4, 7

So, the 1st Quartile is 2

c) Quartile 3

For the 3rd quartile, we can select the 2nd half and find the middle number.

8,12,14,15,15,16,18

So the 3rd Quartile is 15.

d) Interquartile Range

The IQR is found by the difference between Q3 and Q1

To find the value of the effective spring constant (k), we are given the masses of oxygen (16.0 atomic mass units) and carbon (12.0 atomic mass units). We will use this information to determine the value of k.

The effective spring constant (k) is a measure of the stiffness of the spring and is usually given in units of force per unit length or mass per unit time squared. In this case, we need to determine k based on the masses of oxygen and carbon.

To find k, we can use the formula for the effective spring constant in a molecular vibration system, which is given by:

K = (ω^2)(μ)

Where ω is the angular frequency of the vibration and μ is the reduced mass of the system.

Since we are given the masses of oxygen and carbon, we can calculate the reduced mass (μ) as follows:

Μ = (m1 * m2) / (m1 + m2)

Where m1 and m2 are the masses of oxygen and carbon, respectively.

Using the given masses:
M1 = 16.0 atomic mass units (oxygen)
M2 = 12.0 atomic mass units (carbon)

We can substitute these values into the equation for μ:

Μ = (16.0 * 12.0) / (16.0 + 12.0)
= 192.0 / 28.0
≈ 6.857 atomic mass units

Now, to find the value of k, we need the angular frequency (ω) of the vibration. Unfortunately, the angular frequency is not provided in the given information. Without the angular frequency, we cannot determine the exact value of k.

Therefore, we can calculate the reduced mass (μ) using the given masses of oxygen and carbon, but we cannot find the value of k without the angular frequency.

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Answer:

  1. (-∞, ∞), [-4, ∞), (2, ∞), (-∞, 2), (-∞, 0) ∪ (4, ∞), (0, 4), DNE, -4, 2

  2. y = -|x -4| -2

Step-by-step explanation:

1.

a. the domain is the horizontal extent, (-∞, ∞)

b. the range is the vertical extent, [-4, ∞)

c. the function is increasing where it goes up to the right, (2, ∞)

d. the function is decreasing where it goes down to the right, (-∞, 2)

e. the function is positive where it is above the x-axis, (-∞, 0) ∪ (4, ∞)

f. the function is negative where it is below the x-axis, (0, 4)

g. the function extends to ∞, so has no maximum value

h. the vertex is the low point, or minimum value, -4

i. the function increases from -4 to 0 on the interval [2, 4] so has an average rate of change of (0 -(-4))/(4 -2) = 4/2 = 2

__

2. Reflection across the x-axis negates every y-value. Multiply the given function by -1:

  y = -|x-4| -2

Answer:

Dad=35, Son=15

Step-by-step explanation:

Well since the dad is 20 year older then the son we can call the son x and the dad x+20. Now five years ago the father was 3 times older then the so we construct the following equation:

x+20−5=3(x−5)

x+15=3x-15

x=15

So now we know that the sons age is 15 meanimg that since the dads 20 years older then him, his age is 20+15 which is 35!

Answer: 10y

Step-by-step explanation:

First and foremost, we should note that: 1 centimeter = 10 millimeters.

Since the length of the line is y centimetres, the expression in terms of y for the length of the line in millimeter will be:

= y × 10

= 10y

For example, if the length is 3cm, it'll then be: = 10y = 10 × 3 = 30 millimeter

The answer is D. The roots are just where the line crosses the y axis.

Answer:

\(x=\frac{1}{2}\left(\tan^{-1}{4}+\pi k\right)\), where k is any integer

Step-by-step explanation:

Let's start by getting all the trig functions on one side and all the constants on the other. We can do this by dividing both sides by \(\cos{2x}\):

\(\dfrac{\sin{2x}}{\cos{2x}}=4\)

This ratio looks familiar! It just so happens that the tangent function is defined as the ratio of sine to cosine. In our case:

\(\dfrac{\sin{2x}}{\cos{2x}}=\tan{2x}\)

Substituting this back into our equation, we have \(\tan{2x}=4\). We can unwrap the 2x by applying the inverse tangent function to both sides, giving us \(2x=\tan^{-1}{4\). Note, this specific solution only accounts for values of 2x between 0 and 2π radians. To make it general, we can add the term πk to the end of the right side, where k is any integer. We use π as a coefficient because the tangent function has a period of π radians, and it repeats its values every period.

Finally, we divide both sides of the equation by 2 to isolate x, giving us

\(2x=\tan^{-1}{4}+\pi k\\x=\frac{1}{2}\left(\tan^{-1}{4}+\pi k\right)\)

The research reveals that emotional people tend to be more satisfied with their jobs, committed to their employer, and produce more work than conscientious individuals is False.

Emotional intellect is the capacity to recognize and regulate a person's emotions and comprehend the emotions the others. A high EQ helps you to build connections, lower team stress, defuse battles and improve job fulfillment.

It can help a graduate evolve the best at what they do, be the best coworker possible, and achieve professional victory. Communication, partnership, and relationship-building skills are enhanced by higher levels of emotional intelligence. It also enables best focus on the work.

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The complete question is-

research reveals that emotional people tend to be more satisfied with their jobs, committed to their employer, and produce more work than conscientious individuals.

a. True

b. False

The total surface area of the new box is given by the equation:

SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7).

To calculate the new total surface area of the box after increasing the height by 3.5 centimeters, we need to consider the dimensions of the box and how each side is affected by the increase.

Let's assume the original box has dimensions:

Length (L)

Width (W)

Height (H)

The total surface area of the original box is given by:

SA_original = 2(LW + LH + WH)

After increasing the height by 3.5 centimeters, the new height becomes H + 3.5. The other dimensions, length and width, remain the same.

The new total surface area of the box can be calculated as follows:

SA_new = 2(LW + (L(H + 3.5)) + (W(H + 3.5)))

Simplifying the equation:

SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)

Therefore, the total surface area of the new box is given by the equation:

SA_new = 2(LW + LH + 3.5L + WH + 3.5W + 7)

To find the closest value to the total surface area of the new box, you would need to know the specific values of L, W, and H for the original box. With those values, you can substitute them into the equation to calculate the exact surface area.

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The sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.

A paired data test or sampling is used when the researcher is interested in the difference between two variables for the same subject.

For instance, in this experiment, the researcher wants to find the satisfaction level of the volunteers who used the shampoo and conditioner separately or combined.

Thus, the sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.

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Answer:

more details needed

Step-by-step explanation: