4.
Jessie has been working part time for three weeks. He earned $50.00 the first week,
$60.00 the second week, and $58.00 the third week. How much must he earn the
fourth week to average $55.00 per week for the first 4 weeks?
Jessie must earn $
on his fourth week of work.

Answer:

Step-by-step explanation:

truncated means when its rounded up from the lower bound and upper bounds meaning               lower bound=15.4 and upper bound=15.5

The lower and upper bounds of the number are 15.4 and 15.5 respectively.

Given data:

When a number is truncated to 1 decimal place, it means that only the first decimal digit is considered, and the rest of the decimal places are discarded. In this case, the number truncated to 1 decimal place is 15.4.

The lower bound of the number is the largest number that rounds down to 15.4 when truncated to 1 decimal place. Since 15.4 is already rounded down, the lower bound is simply 15.4.

The upper bound of the number is the smallest number that rounds up to 15.4 when truncated to 1 decimal place. The next number that rounds up to 15.4 is 15.5.

Hence, the lower bound is 15.4 and the upper bound is 15.5.

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The Tigers will be on the 70 yd line on the field at the end of these eight downs?

Starting line = 35 yd line

run: 6 yd. gain,

run:2 yd. loss,

run:5 yd. gain,

run:2 yd. gain,

pass:19 yd. gain,

run:2 yd. gain,

pass:7 yd. gain,

run 4yd. loss

Starting line = 35 yd line + 6 yd - 2 yd + 5 yd + 2 yd + 19 yd + 2 yd + 7 yd - 4 yd

= 70 yd

Therefore, 70 yd line towards the opponent is where the tigers will be at the end of these eight downs.

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A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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Answer:

222222222222222222222%

Answer: A = 67%

Step-by-step explanation:

Answer:

y = 5x

Step-by-step explanation:

The y intercept is 0 since it crosses the y axis at 0

The slope is rise over run

From (0,0) we go up 5 and to the right 1

5/1 = 5

Slope = 5

The slope intercept equation is

y = mx+b where m is the slope and b is the y intercept

y = 5x+0

y = 5x

Answer:

y=5x

Step-by-step explanation:

Answer:

476.37

Step-by-step explanation:

$12.98/hr at KF (Key Food)
$x/36.7, so look at it fractionally.
36.7x12.98
This wil be 476.366
Rounding to the nearest hundredth is 2 decimal places (tenths, hundredths).
476.366 will be 476.37

The proportion of scores below 12.5 in a normally distributed population with a mean of 10 and a standard deviation of 2 can be calculated using the Z-score and the standard normal distribution table. In this case, we need to find the area under the curve to the left of the value 12.5.

The Z-score is calculated as (X - μ) / σ, where X is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. Substituting the given values, we have (12.5 - 10) / 2 = 1.25.

Using the standard normal distribution table or a statistical calculator, we can find that the area to the left of a Z-score of 1.25 is approximately 0.8944. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

In a normal distribution, the Z-score measures the number of standard deviations a value is from the mean. By calculating the Z-score for the value 12.5, we can use the standard normal distribution table to find the proportion of scores below that value.

The table provides the cumulative probability up to a certain Z-score. In this case, the Z-score of 1.25 corresponds to a cumulative probability of approximately 0.8944.

Since the normal distribution is symmetric, the proportion of scores above 12.5 is equal to the proportion below the mean minus the proportion below 12.5.

Hence, subtracting 0.8944 from 1 (or 100%) gives us approximately 0.1056 or 10.56%. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

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The if  they will have exactly the same length to donate. The long will their hair be is 8.5

What is linear equation ?

Linear equation can be defined as the equation in which highest degree is one.

Given ,

Two friends, Jeanette and Zoe, are growing out their hair. They plan to cut it off at a certain point and donate it to a charity that makes wigs for people with cancer.

Jeanette's hair is already 29 centimeters long and grows at a constant rate of 1 centimeter per month.

29+n = 12+2n

2n-n = 29-12

n = 17/2

n = 8.5

Hence, The if  they will have exactly the same length to donate. The long will their hair be is 8.5

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The answer is 10:00 am

add 3 to 6 then add the 30 minutes to the 30 minutes which equals another hour

The number of possible outcomes is 81

Count of Outcomes :

In the domain of Statistics, the number of possible outcomes for a given help in determining the overall size of the universe of outcomes. From such a universe, one can ascertain the probability or likelihood of desirable outcomes in terms of percentage or fraction.

Let's come to the solution of the question:

Here, the number of possible outcomes for each game is 3 (win, lose, tie).

The total number of possible outcomes is given by:

= Number of outcomes for 1st game * Number of outcomes 2nd game

= 3*3*3*3

=81

Hence, The number of possible outcomes is 81

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165 ft / 15 inches = 11

scale = 1 inch = 11 feet

which is written as 1:11

Answer:

c² - 63

Step-by-step explanation:

4c - 10 = 30

3c ÷ 3 = 10

c² - 63 = 37

c² ÷ 10 = 10

Since c² - 63 = 37 and c + 25 = 35, 37 is greater than 35 so it would make sense to choose c² - 63 as the answer.

c + 25 < 37

I hope this helps you :D

a. The determination of the break-even number of subscribers for Star Stream is as follows:

Break-even number of subscribers = Fixed Costs/Contribution Margin per subscriber

= 35,294,118 ($3,000,000,000/$85)

b. If Star Stream increases the annual content costs to $2,600,000,000, the break-even number of subscribers will increase to 42,352,941 subscribers.

= 42,352,941 ($3,600,000,000/$85)

c. The annual subscription needs to increase from $120 to $142 to maintain the same break-even as in (a).

The break-even analysis is a financial tool for determining the price level at which the total revenue equals the total costs (variable and fixed).

Using the break-even analysis model, one can determine the number of units to sell so that fixed costs are recovered.

Server lease costs per year = $100,000,000

Content costs per year = $2,000,000,000

Fixed operating costs per year = $900,000,000

Total fixed costs per year = $3,000,000,000

Bandwidth costs per subscriber per year = $15

Variable operating costs per subscriber per year = $25

Subscription per year = $125

Contribution margin per subscriber per year = $85 ($125 - $15 - $25)

Contribution margin ratio = 68% ($85/$125 x 100)

a. Determine the break-even number of subscribers.

b. Assume Star Stream planned to increase available programming and thus increase the annual content costs to $2,600,000,000. What impact would this change have on the break-even number of subscribers?

c. Assume the same content cost scenario in (b). How much would the annual subscription need to change to maintain the same break-even as in (a)?

Thus, with an annual subscription of $142, the variable cost of $40 per subscriber per year, contribution margin of $102 ($142 - $40), and a total fixed cost of $3,600,000,000, the break-even number of subscribers will remain 35,294,118 ($3,600,000,000/$102).

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Answer:

90 ⁰ b part is the answer

Step-by-step explanation:

it's correct Answer

The given statement is True.

What is kinesthetic sense?

Kinesthetic sense is the perception of body movements. It involves being able to detect changes in body position and movements without relying on information from the five senses. The kinesthetic sense makes it possible to perform a wide variety of tasks, from fine motor skills like writing and sewing, to gross motor skills like running and jumping.What is Vestibular sense?Vestibular sense is the ability to sense changes in the position and movement of the head and body by detecting changes in gravity, motion, and body position. The vestibular sense works together with the visual system to help maintain balance, coordinate movements, and keep the body upright.

What is the difference between Kinesthetic sense and Vestibular sense?

Kinesthetic sense has to do with sensing movement and position of body parts. It helps individuals maintain their balance and coordinate their movements. Vestibular sense detects movement in relation to gravity and the environment. It is responsible for maintaining balance, coordination, and spatial orientation. While both kinesthetic sense and vestibular sense work together to allow individuals to perform a variety of movements and maintain balance, they are distinct and separate senses.

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False. The complement of an event A, denoted by A', is the event consisting of all outcomes in the sample space S that are not in A.

In probability theory, a sample space S represents the set of all possible outcomes of an experiment or random phenomenon. An event A is a subset of the sample space S, representing a specific outcome or a combination of outcomes of interest.

The complement of event A, denoted by A', includes all the outcomes in the sample space S that are not part of event A. In other words, A' consists of all outcomes that do not satisfy the conditions for event A to occur.

For example, let's consider rolling a fair six-sided die. The sample space S consists of the numbers {1, 2, 3, 4, 5, 6}. Now, let event A be the event of rolling an odd number. In this case, A = {1, 3, 5}, and the complement of A, denoted by A', would be A' = {2, 4, 6}. A' includes all the outcomes that are not odd numbers.

It's important to note that the complement of an event A and the event itself together cover the entire sample space S. In other words, A and A' are mutually exclusive and exhaustive, meaning that any outcome must either be in A or in A'.

So, in summary, the complement of an event A is the set of all outcomes in the sample space S that do not belong to A.

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Answer:

non renewable you can't renew what you already bought and renewable you can renew what you bought

Answer:

yes

Step-by-step explanation:

Answer:

=6

Step-by-step explanation:

Question:

Solution:

Note that:

then, we can conclude that the correct answer is:

Answer:

option B is correct answer

Explanation:

To add the numbers, we need to locate the decimal point under the decimal point. So, the sum will be equal to:

Then,

To multiply a square root by a square root and a whole number, you can use the distributive property of multiplication

Given data ,

Let the numbers be represented by the expression A

Now , the value of A is

A = √2 × 3√5

First, you can simplify each square root:

√2 = 1.4142 (rounded to 4 decimal places)

3√5 = 5.1962 (rounded to 4 decimal places)

Next, you can multiply the two simplified square roots and the whole number:

√2 × 3√5 = 1.4142 × 5.1962 × 3

= 22.3607 × 3

= 67.0821

Hence , the expression is A = √2 × 3√5 = 67.0821

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The questions for grade 7 math worksheets are typically prepared by math teachers, curriculum specialists, and educational publishers.

These professionals use their knowledge of math concepts and pedagogy to create questions that are appropriate for the grade level and aligned with educational standards.

Additionally, they may use feedback from students and other teachers to refine the questions and ensure they are effective for teaching and learning. It is important for the questions to be clear, accurate, and challenging in order to help students develop their math skills and prepare for more advanced concepts.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

To determine the rate that the insurance company should charge to earn their expected value, we need to calculate the expected value of the policy.


First, we need to find the expected payout of the policy, which is the probability of the woman's death multiplied by the policy amount:

Expected payout = 0.00049 x $1,000,000 = $490

Next, we need to add the profit that the insurance company wants to earn, which is $400:

Expected value = $490 + $400 = $890

Therefore, the insurance company should charge a rate of $890 for the policy to earn their expected value.

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Answer:

64/9

Step-by-step explanation:

First convert 2 2/3 into a mixed number --> 8/3

8/3 ÷ 3/ 8 =

8/3 × 8/3 = 64/9

Answer:

2 2/3 divided by 3/8 is 64/9 or 7.1111 repeating

Step-by-step explanation:

first change 2 2/3 into an improper fraction which becomes 8/3.

your equation is now (8/3) / (3/8)

then use division rules (keep change and flip)

your new equation is (8/3) x (8/3)

solve it and your answer is 64/9

Answer:

y = -2 and x = 4

Step-by-step explanation:

8x + 14y = 4

-6x - 7y = -10

First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:

8x + 14y = 4

3(8x + 14y) = 3(4)

24x + 42y = 12

Multiply the second equation by 4:

-6x - 7y = -10

4(-6x - 7y) = 4(-10)

-24x - 28y = -40

Now, add the two equations together:

24x + 42y = 12

-24x - 28y = -40

24x + -24x = 0

42y + -28y = 14y

12 + -40 = -28

14y = -28

Divide both sides by 14:

14y ÷ 14 = -28 ÷ 14

y = -2

Plug this known variable back into the first equation:

8x + 14(-2) = 4

8x + (-28) = 4

8x - 28 = 4

Add 28 to both sides:

8x - 28 + 28 = 4 + 28

8x = 32

Divide both sides by 8:

8x ÷ 8 = 32 ÷ 8

x = 4

So y = -2 and x = 4.

Hope this helps!

The measurement of angles C and F are 63°  and 59° respectively

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles.

In the given image, you notice that angles A, B and C form a right-angled triangle. So the measurement of angle C is 90°. Also, the sum of angles in a triangle is 180°. Thus:

A + B + C = 180°

27° + 90° + C = 180°

117° + C = 180°

C =  180° - 117°

C = 63°

Likewise, angles D, E and F form a right-angled triangle. So the measurement of angle E is 90°. Also, the sum of angles in a triangle is 180°. Thus:

D + E + F = 180°

31° + 90° + F = 180°

121° + F = 180°

F =  180° - 121°

F = 59°

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