Faith started last week with $1,100 in her checking account. During the week, she wrote the checks below.
On the 15th, Faith received a paycheck for $583.67. She recorded all of these transactions in her checking
Account Number: 1234-1212
Checks date check no. amount
9/5 241 $67.25
9/20 242 $36.80
9/30 243 $15.00
Other Activity date transaction amount
9/30 Deposit $650.45
9/30 Fees $15.00
Balances Opening Balance $900.00
Closing Balance $1,416.40




A.
His check to the barber shop was not cashed before the end of the month.
B.
He added up his transactions incorrectly.
C.
He mislabeled a payment as a deposit.
D.
He had bank fees that were not in his check register.

Any help would be appreciated thanks!!

If Bob fixes 300 computers, his total profit would be $52,500.

To calculate Bob's profit, we need to first calculate his total revenue and his total costs.

Total Revenue = Price per computer × Number of computers fixed

Total Revenue = $250 × 300

Total Revenue = $75,000

Total Costs = Fixed Costs + Variable Costs

Fixed Costs = $5,000 (equipment) + $6,000 (premises) + $4,000 (advertising)

Fixed Costs = $15,000

Variable Costs = Cost per computer × Number of computers fixed

Variable Costs = $25 × 300

Variable Costs = $7,500

Total Costs = $15,000 + $7,500

Total Costs = $22,500

Now, we can calculate Bob's profit

Profit = Total Revenue - Total Costs

Profit = $75,000 - $22,500

Profit = $52,500

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\(\\ \sf\longmapsto 8x-38=90\)

\(\\ \sf\longmapsto 8x=90+38\)

\(\\ \sf\longmapsto 8x=128\)

\(\\ \sf\longmapsto x=16\)

Now

\(\\ \sf\longmapsto z+90=180\)

\(\\ \sf\longmapsto z=90\)

Answer: x+5 with a remainder of 3 (can also be said as 3/x-4)

Step-by-step explanation: See attachment

(a) The probability that a randomly selected policyholder lives more than 80 years is approximately 0.3106.  (b) Given that a male policyholder just turned 80, the probability that he will live for at least three more years is approximately 0.6166.

(a) To find the probability that a randomly selected policyholder lives more than 80 years, we need to calculate the cumulative probability of survival beyond 80 for both males and females separately, and then weigh them based on the gender distribution.

For males: Using the normal distribution with mean 75 and standard deviation 8, we find the probability of survival beyond 80 is approximately 0.3446.

For females: Using the normal distribution with mean 78 and standard deviation 6, we find the probability of survival beyond 80 is approximately 0.2847.

The weighted probability for a randomly selected policyholder is (0.60 * 0.3446) + (0.40 * 0.2847) = 0.3106.

(b) Given that a male policyholder just turned 80 years old today, we can use conditional probability to calculate the likelihood of him living for at least three more years.

Using the normal distribution with mean 75 and standard deviation 8, the probability of survival beyond 83 (80 + 3) is approximately 0.8621.

Therefore, the probability that a male policyholder, who just turned 80, will live for at least three more years is 0.8621.

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Answer:

1 more bought baseballs then beach balls

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

103+94

=100+100

=200

Answer:

197 the nearest ten is 200

Step-by-step explanation:

he need to put the nearest ten

a.

= (5x)² - 3 = 25x² - 3

- 5f(x) = 5(x² - 3) = 5x² - 15

b.

- f(x - 2) = (x - 2)² - 3 = x² - 4x + 1

- f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4

a. To calculate f(5x), we substitute 5x into the function f(x) and simplify the expression.

  f(5x) = (5x)² - 3 = 25x² - 3

  To calculate 5f(x), we multiply the function f(x) by 5.

  5f(x) = 5(x² - 3) = 5x² - 15

b. To calculate f(x - 2), we substitute (x - 2) into the function f(x) and simplify the expression.

  f(x - 2) = (x - 2)² - 3 = x² - 4x + 4 - 3 = x² - 4x + 1

  To calculate f(x) - f(2), we evaluate f(x) and f(2) separately and then find their difference.

  f(x) = x² - 3

  f(2) = 2² - 3 = 4 - 3 = 1

  f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4

For the difference quotient of f(x) = -7x² - 5x + 9, we can calculate it as follows:

Difference quotient = [f(x + h) - f(x)] / h

Expanding the function and substituting into the difference quotient formula, we have:

[f(x + h) - f(x)] / h = [-7(x + h)² - 5(x + h) + 9 - (-7x² - 5x + 9)] / h

Simplifying and expanding further:

= [-7(x² + 2hx + h²) - 5x - 5h + 9 + 7x² + 5x - 9] / h

= [-7x² - 14hx - 7h² - 5x - 5h + 9 + 7x² + 5x - 9] / h

= [-14hx - 7h² - 5h] / h

= -14x - 7h - 5

The difference quotient of f(x) = -7x² - 5x + 9 is -14x - 7h - 5.

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the fully factored form of 2x^3 - 200x is:

2x(x + 10)(x - 10)

The given expression 2x^3 - 200x can be factored using the difference of squares formula as follows:

2x(x^2 - 100)

The expression x^2 - 100 is a difference of squares because it can be written as (x + 10)(x - 10).

what is expression?

In mathematics, an expression is a combination of numbers, variables, and symbols that are grouped together to represent a mathematical relationship or idea. Expressions can be simple or complex and can involve arithmetic operations, functions, and equations. Some examples of expressions include:

3x + 5

(a + b) / c

2x^2 - 4x + 7

sin(x) + cos(x)

2ab / (a + b)

Expressions are often used in algebra and other areas of mathematics to describe relationships between different quantities or to solve problems.

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Answer:

the answer is 17.75

Step-by-step explanation:

Answer:

17.75

Step-by-step explanation:

i took the test

The probability that the entire batch of 6500 write-rewrite CDs will be accepted, given that 170 are defective and 6 are randomly selected for testing, is approximately 0.859 or 85.9%.

To find the probability that the entire batch of 6500 write-rewrite CDs will be accepted using acceptance sampling, we need to consider the number of defective CDs in the batch and the number of CDs selected for testing.

Given that the batch consists of 6500 CDs and 170 of them are defective, we know that the remaining 6500 - 170 = 6330 CDs are non-defective.

Now, if we randomly select 6 CDs for testing, we want to determine the probability that all 6 CDs are non-defective. To calculate this probability, we need to use the hypergeometric distribution.

The hypergeometric distribution calculates the probability of obtaining a specific number of successes (in this case, non-defective CDs) from a finite population (the entire batch) without replacement.

Using the hypergeometric distribution formula, the probability of selecting 6 non-defective CDs can be calculated as follows:

P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6)

where C(n, r) represents the number of combinations of selecting r items from a set of n items.

Evaluating this expression, we find:

P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6) ≈ 0.859

Therefore, the probability that the entire batch of CDs will be accepted is approximately 0.859, or 85.9%.

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Answer:

3

Step-by-step explanation:

The question is incomplete. Here is the correct question.

If NL = 13, find NM. NM = X+15 ML = 2x+34

Using vector notation, NL = NM+ML

Substituting the given parameters into the equation;

13 = x+15+(2x+34)

13 = x+15+2x+34

Collect like terms.

x+2x+15+34 = 13

3x+49 = 13

3x = 13-49

3x = -36

x = -12

Given NM = x+15 and x = -12

NM = -12+15

NM = 3

1) Number sense, arithmetic operations, algebra, geometry, data analysis, and probability are some of the topics that are commonly covered in math classes.

The need of developing problem-solving and procedural fluency skills is underlined. To ensure they have a solid basis for future learning, students may also receive training on arithmetic concepts they missed in earlier grades.

2) The use of real-world issues, direct education, cooperative learning, and the use of technology to aid learning are some particular methods of mathematical instruction that are encouraged.

Additionally, emphasis is placed on encouraging a growth mentality and a positive attitude toward mathematics.

3) Direct instruction, visual aids like graphs and diagrams, manipulatives and hands-on activities, scaffolding, and systematic review and practice are some specific techniques used to teach fundamental mathematical instruction.

In order to promote critical thinking and the growth of students' problem-solving abilities, teachers may also employ questioning strategies.

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Equation of the line is -1/4x-5

From the question, we have

the given points (-8,-3) and (-12,-2) .

\(y-y_1=(y_2-y_1)/(x_2-x_1 ) (x-x_1 )\\y+3=(-2+3)/(-12+8)(x+8)\\y+3=1/(-4)(x+8)\\y=-1/4 x-2-3\\f(x)=-1/4 x-5\)

Slope:

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

Consequently, the formula for the change in y-coordinate with respect to the change in x-coordinate is

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Slope, m = Change in y-coordinates/Change in x-coordinates

m = (y2 – y1)/(x2 – x1)

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Answer:

1. Mean : 85.6

2. Median : 90

3. Mode : 95

4. Range : 35

Step-by-step explanation:

1. For Mean, you add up all the terms and divide the resulting sum by the number of terms. In this case there were 9 terms that added up to 770, and when you divided that result by 9, the answer was 85.555 repeating. Since the question asks to round to the nearest tenth 85.6 represents the correct mean or average of the class.

2. To find the median, line up all the numbers in order from least to greatest. Like so :

60,75,75,90,90,95,95,95,95

In order to find the median, find the middle term. Since there are 9 terms, the middle term will be the fifth one. In this case, the answer was 90.

3. Mode represents the number that appears the most in a data set. Look at the 9 terms and find the one that appears the most. In this case it is 90.

4. Lastly, to find the range, subtract the lowest value in the data set from the highest one. 95 is the highest and 60 is the lowest. Do \(95-60\) and you will get an answer of 35.

Hope this helps!

Answer:

Mean: 85.6

Median: 90

Mode: 95

Range: 35

Step-by-step explanation:

Mean: Add up all the value and divide by the number of values you have.

75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90 = 770

770 / 9 = 85.6

Median: Rearrange in increasing order + look at middle number

60, 75, 75, 90, 90, 95, 95, 95, 95

Mode: Number that shows up the most.

95 shows up 4 times.

Range: Maximum - Minimum.

95 - 60 = 35.

Answer:

\(D = 17\ miles\)

Step-by-step explanation:

Given

\(Circumference\ (C) = 53\ miles\)

Required

Determine the diameter (D)

In terms of diameter, circumference is calculated as thus:

\(C = \pi D\)

Take \(\pi\) as 3.14 and substitute 53 for C

\(53 = 3.14 * D\)

Make D the subject

\(D = \frac{53}{3.14}\)

\(D = 17\ miles\) --- Approximated

Hence,

Option D answers the question

The sensitivity of the pregnancy test is 95% and the specificity is 99%. Given an anticipated 10% pregnancy rate among women using the test, the positive predictive value (PV+) of the test can be determined.

The sensitivity of a test refers to its ability to correctly identify positive cases, while the specificity measures its ability to correctly identify negative cases. In this case, out of the 100 known pregnant women, the test correctly identified 95 as positive, resulting in a sensitivity of 95%. Similarly, out of the 100 known non-pregnant women, the test correctly identified 99 as negative, giving it a specificity of 99%.

To determine the positive predictive value (PV+) of the test, we need to consider the anticipated pregnancy rate among women who will use the test. If 10% of the women who use the test are expected to be pregnant, we can calculate the PV+ using the following formula:

PV+ = (Sensitivity × Prevalence) / (Sensitivity × Prevalence + (1 - Specificity) × (1 - Prevalence))

Substituting the given values, we get:

PV+ = (0.95 × 0.1) / (0.95 × 0.1 + 0.01 × 0.9)

PV+ = 0.095 / (0.095 + 0.009)

PV+ = 0.91

Therefore, the positive predictive value (PV+) of the pregnancy test is approximately 91%.

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Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

The angle between vectors u = -3i + 4j and v = 7i + 5j is approximately 91.2 degrees.

To find the angle between two vectors u and v, we can use the formula:

cosθ = (u · v) / (||u|| ||v||)

where u · v is the dot product of u and v, and ||u|| and ||v|| are the magnitudes of u and v, respectively.

Let's begin by calculating the dot product of u and v:

u · v = (-3)(7) + (4)(5) = -21 + 20 = -1

Next, we need to calculate the magnitudes of u and v:

Now, we can substitute these values into the formula:

cosθ = (u · v) / (||u|| ||v||) = (-1) / (5 √74)

Using a calculator, we can find that cosθ ≈ -0.092. To find the angle θ, we can take the inverse cosine:

θ \(= cos^{-1(-0.092)}\) ≈ 91.2°

Therefore, the angle between the vectors u and v is approximately 91.2 degrees.

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Prime factorize them individually

\(36 = 2 \times 2 \times \boxed3 \times \boxed3 \times 1\\ 9 = \boxed3 \times \boxed3 \times 1\)

Thus,

\(HCF = {3}^{2} =9\)

\(\huge{\fbox{\sf{n=5 }}}\)

Step 1:

\(⇒ {2}^{n - 5} \times {5}^{n - 4} = 5\)

Step 2:

\( ⇒{2}^{n - 5} \times {5}^{n - 4} = {5}^{1} \times {2}^{0} \)

On comparing values we get:

Taking:

\( {2}^{n - 5} = {2}^{0} \)

n-5=0

n=5✓

or

Taking:

\( {5}^{n - 4} = {5}^{1} \)

n-4=1

n=5✓

The standard deviation of the sampling distribution of Democrats (p^) is approximately 0.02224.

Given that in a congressional district, 55% of registered voters are Democrats. A polling organization selects a random sample of 500 registered voters from this districts. To calculate the standard deviation of the sampling distribution of p^, we will use the following formula:

Standard deviation (σ) = √[(P * (1-P)) / n]
Here, P is the proportion of Democrats in the population, which is 0.55 and n is the sample size, which is 500.

Step 1: Calculate P * (1-P)
0.55 * (1-0.55) = 0.55 * 0.45 = 0.2475

Step 2: Divide by the sample size
0.2475 / 500 = 0.000495

Step 3: Find the square root
√0.000495 ≈ 0.02224

The standard deviation of the sampling distribution of p^ is approximately 0.02224. This means that if we take multiple random samples of 500 registered voters from the district, the proportion of Democrats in those samples would typically vary by about 0.02224 from the true population proportion of 0.55.

To verify that the 10% condition is met, we need to check that the sample size is less than or equal to 10% of the population size. Since the question does not provide the total population of registered voters, we cannot definitively verify the 10% condition.

However, if the total number of registered voters in the district is greater than or equal to 5,000 (since 500 is 10% of 5,000), then the 10% condition would be met.

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Out of the three given options, option a) is the most appropriate definition of an experiment in the context of probability.

The term "experiment" in the context of probability refers to a process or activity that involves observing or measuring an outcome that is subject to chance or uncertainty. The outcome of an experiment is not necessarily predictable with certainty, and it may depend on various factors such as the conditions under which the experiment is conducted and the randomness inherent in the process.

Out of the three given options, option a) is the most appropriate definition of an experiment in the context of probability. An experiment is essentially a process that leads to one of several possible outcomes, and the probability of each outcome can be calculated or estimated based on the underlying assumptions and factors involved. Examples of experiments in probability include rolling a die, tossing a coin, drawing a card from a deck, or conducting a clinical trial to test a new drug.

Option b) is not an appropriate definition of an experiment because it suggests that the outcome can be predicted with certainty based on mathematical analysis, which is not always the case in experiments involving chance or uncertainty.

Option c) is also not an appropriate definition of an experiment because it suggests that an experiment is conducted to confirm a hypothesis, which may or may not be true. While experiments can be used to test hypotheses and provide evidence to support or refute them, the primary goal of an experiment in the context of probability is to observe or measure the outcome and calculate the probability of each possible outcome.

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Explanation:

The angles marked with a single arc are one pair of congruent angles forming one "A" of "ASA".

The other "A" is the angles marked with double arcs.

The "S" refers to the sides between those said angles. These sides overlap perfectly so we have a shared side, meaning they must be the same length (refer to the reflexive property).

This is why the triangles are congruent by the ASA (angle side angle) congruence theorem. One triangle is a reflected version of the other. The mirror line being that shared overlapping side. Congruent triangles are like twin identical copies.

Answer:

Ok

Step-by-step explanation:

Answer: C. Taking a trip on a raft is safe if the weight of guests and their belongings (x pounds) and the weight of the guide and her equipment (250 pounds) together are less than 1,200 pounds

Step-by-step explanation:

Answer: 1/200

Step-by-step explanation:

1/6 divided  by 6 is equal to 0.05555555555 Which is equal to about 1/200

Answer:

The missing value is -9

Step-by-step explanation:

Given

\(-7 = _ -(-2)\)

Required

Determine the missing value

Represent _ with a variable

\(-7 = x -(-2)\)

Open the bracket

\(-7 = x -1*-2\)

\(-7 = x + 2\)

Subtract 2 from both sides

\(-7 - 2 = x + 2 - 2\)

\(-9 = x\)

Reorder

\(x = -9\)

Hence, the missing value is -9

Answer:

The answer is 4=−2+6

Step-by-step explanation:

I checked on khan

Answer:

2

Step-by-step explanation: