Can yall help me all grades go in today

Answer: To find the area in points squared, we need to convert the given area from gry^2 to inches^2 and then convert it to points^2. Let's break down the conversion step by step:

Convert gry^2 to inches^2:

Since 1 gry is defined as 1/10 of a line and 1 line is defined as 1/12 inch, we can calculate the conversion as follows:

1 gry = (1/10) * (1/12) inch^2 = 1/120 inch^2

Therefore, 0.35 gry^2 = 0.35 * (1/120) inch^2

Convert inches^2 to points^2:

Since 1 inch is equal to 72 points, we can convert the area in inches^2 to points^2 using the following conversion:

1 inch^2 = (72 points)^2 = 5184 points^2

Therefore, 0.35 * (1/120) inch^2 = 0.35 * (1/120) * 5184 points^2

Calculating the final result:

0.35 * (1/120) * 5184 points^2 = 12.24 points^2

So, an area of 0.35 gry^2 is equivalent to 12.24 points^2.

It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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Answer: 4x^2 + 2x + 3

Step-by-step explanation: long division method :)

The probability that exactly 2 people are left handed if 11% people are left handed and 5 are selected at random is 100.

Probability is a method with the help of which we chose a particular object on random from many given objects.

P(E) = no of favorable outcomes/total number of outcomes

Let there are 100 people

11% are left handed = 11% of 100 = 11

5 are selected randomly.

No of favorable outcomes = 5

Total no of outcomes = 11

Hence, the probability that people selected are left handed is 5/11

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From the given percent of people are left handed and probability of exactly 2 of them are left handed from 5 selected at random is equal to 0.0853.

As given in the question,

Number of people selected at random 'n' = 5

Percent of people are left handed = 11%

Probability of success 'p' = 0.11

Probability of failure 'q' = 1- p

                                       = 1-0.11

                                       = 0.89

Exact number of left handed people 'x' = 2

Probability of people that are exactly left handed

= ⁿCₓ (p)ˣ(q)ⁿ⁻ˣ

=⁵C₂(0.11)²(0.89)⁵⁻²

= (5!/ (5-2)!2!) × (0.0121) × (0.704969)

= 10 × (0.0121) × (0.704969)

= 0.0853

Therefore, from the given percent of people are left handed and probability of exactly 2 of them are left handed from 5 selected at random is equal to 0.0853.

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1.a The probability of throwing at most 2 heads in 5 throws is more probable.

1.b A total of 2^4 = 16 outcomes.

1.c The probability of selecting a black ball, a red ball, and then another black ball is 5/56.

1a. Probability of throwing exactly 15 heads in 20 throws

Probability of getting a head is p = 0.65, and the probability of getting tails is q = 1 - 0.65 = 0.35.

Let X be the random variable which counts the number of heads in 20 throws.

Then X follows the binomial distribution B(20, 0.65).P(X = 15) = 20C15 * 0.65^15 * 0.35^5= 0.16

Probability of throwing at most 2 heads in 5 throws

Let Y be the random variable which counts the number of heads in 5 throws.

Then Y follows the binomial distribution B(5, 0.65).P(Y ≤ 2) = P(Y = 0) + P(Y = 1) + P(Y = 2)

                                                                                                  = 0.01 + 0.08 + 0.25

                                                                                                  = 0.34

Therefore, the probability of throwing at most 2 heads in 5 throws is more probable.

1b. Suppose we flip a fair coin 4 times.

For what combination(s) do there exist exactly 3 permutations?

There are a total of 2^4 = 16 outcomes.

The combinations that exist in exactly 3 permutations are HTTH, HTHT, THHT, THTH, and HHTT.

1c. Probability of selecting a black ball, a red ball, and then another black ball We want to compute the probability of pulling out 3 balls, without replacement, from a box with 5 red balls and 3 black balls.

The total number of ways of pulling out 3 balls is 8C3.

The probability of pulling out a black ball on the first draw is 3/8.

The probability of pulling out a red ball on the second draw is 5/7.

The probability of pulling out another black ball on the third draw is 2/6 = 1/3.

So, the required probability is (3/8) * (5/7) * (1/3) = 5/56.

Therefore, the probability of selecting a black ball, a red ball, and then another black ball is 5/56.

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For a straight line graph, the point at which the line crosses the y axis is called the y intercept. From the information given, the line crosses the y axis at - 5. This means that the y intercept is - 5

We would write the equation in the slope intercept form whicg is expressed as

y = mx + c

Where m represents the slpoe

We would substitute x = 2, y = 3 and c = - 5 in the equation above to determine the slope, m. It becomes

3 = m * 2 - 5

3 = 2m - 5

3 + 5 = 2m

2m = 8

m = 8/2

m = 4

The equation would be

y = 4x - 5y interceptF

Explain what is meant by confounding. what is a lurking variable? what is a confounding variable?

Answer:

A Confounding is the variable that is considered in a research study, and could overall influence the relations between the variables in the study. For example, students wanting to join AP English next semester were told to write a six page essay. When the students turned in their papers and teachers say the difference and grades they believed that the variable was the time that the students handed in the paper. They thought that if the student handed in their paper later than another student that they would receive a lower score, but this was not the case. When asking the students how they prepared for the paper, students replied with different answers. Those who outlined and used other literature for reference scored much higher than those who only used prior knowledge to write their essays. In this study, the lurking variable would be the presence of an outline.

Lurking variable: A variable that is not considered in a research study that could influence the relations between the variables in the study

Confounding variable: A variable that is considered in a research study that could influence the relations between the variables in the study

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Two methods...

How can we divide easily by 5?

We know

Then

The common method

Answer:

The 4 packe is better value.

Answer:

The 4 pack has better value.

Step-by-step explanation:

To find the toilet roll price, divide by the number of rolls.

2.04 ÷ 4 = 0.51

4.68 ÷ 9 = 0.52

0.52 > 0.51

So, the 4 pack has better value.

Have a wonderful day! :)

Answer:

gfgdf

Step-by-step explanation:

dfhdf

Answer:

50

Step-by-step explanation:

................

..............

Answer:

3. 0

4. (0.5,1)

7. 0

Step-by-step explanation:

too lazy to calculate the rest liao

Answer:

y intercept is (0, -4)

equation is y = x - 4

Step-by-step explanation:

The slope is rise/run which you can find by choosing "any" two points on the line. For instance (0,-4) and (4,0)

The rise is the difference in y direction: 0 - - 4 = 4, the graph "rises" by 4.

The run is the difference in x direction: 4 - 0 = 4, the graph "runs" by 4.

So the slope is 4/4 = 1.

The y intercept is the point on the y axis where the line passes through. This is (0,-4). The intercept value is y= - 4.

The equation is slope times x plus y intercept value.

So putting this all together gives you an equation of

y = 1·x + -4

a.k.a.

y = x-4

Answer:

Step-by-step explanation:

The assumptions necessary for confidence interval 90% with population mean salary  μ turns out to be (1000, 2100) this interval is based on sample size 25 is given by option C) The population must have an approximately normal distribution.

For a confidence interval to be valid, it is necessary to make certain assumptions about the population and the sample.

Here, the assumptions necessary for a valid 90% confidence interval based on a sample of size n = 25 are,

Random sampling,

The sample should be a random sample from the population.

That every member of the population has an equal chance of being selected.

Independence,

The sample observations should be independent of each other.

The value of one observation does not affect the value of another observation.

Normality,

The population of salaries must have an approximately normal distribution.

This assumption is necessary because the confidence interval is based on the Central Limit Theorem.

Which states that the sampling distribution of the sample mean is approximately normal.

Provided that the sample size is large enough and the population distribution is approximately normal.

Sample size,

The sample size should be large enough to ensure that the sampling distribution of the sample mean is approximately normal.

In general, a sample size of 25 is considered sufficient to meet this requirement.

Option A is incorrect because it describes an assumption necessary for the validity of a confidence interval based on the Central Limit Theorem.

Option B is incorrect because the population is assumed to have a normal distribution, not an approximate t-distribution.

Option D is incorrect because it describes a biased sample distribution.

Which would invalidate the results of any statistical analysis based on the sample.

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Reason: The line goes downhill when moving to the right, and when we're between x = -1 and x = 1. You can think of it like a roller coaster.

The distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet is 471 feet

The formula for calculating the circumference of a circle is expressed as:

C = 2πr

r is the radius of the circle

Given the following parameters

r = 75ft

Substitute the parameters to have:

C = 2(3.14)(75)
C = 471feet

Hence the distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet is 471 feet

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Answer:

the second one

Step-by-step explanation:

y = 2/3 (x +6)-5

Answer:

B

Step-by-step explanation:

The expressions x and 15-x add back up to 15.

An example: Let x = 7 which means the remaining piece is 15-x = 15-7 = 8 feet long.

Answer: 5-x

Step-by-step explanation:

The domain are all of the x-values that are located on the x-axis of a cartesian coordinate while the range all of the y-values that are located on the y-axis of a cartesian coordinate.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

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Answer:

-4 and +4

Step-by-step explanation:

In the given scenario, the inhabitants of Life is Good island produce both wheat and poultry. The table provides the maximum annual output combinations of wheat and poultry that can be produced, based on the available resources and technology.

To determine the opportunity cost of increasing the annual output of wheat, we compare the quantity of poultry given up in each scenario. Specifically, we calculate the difference in poultry quantity between two output levels of wheat: from 900 to 1100 pounds, and from 200 to 400 pounds.

To calculate the opportunity cost of increasing the annual output of wheat from 900 to 1100 pounds, we need to compare the corresponding quantities of poultry. From the table, we can see that the quantity of poultry decreases from 450 pounds to 300 pounds when wheat production increases from 900 to 1100 pounds. Therefore, the opportunity cost of this increase in wheat output is 150 pounds of poultry (450 - 300).

Similarly, to calculate the opportunity cost of increasing the annual output of wheat from 200 to 400 pounds, we compare the quantities of poultry. The table shows that the poultry quantity decreases from 775 pounds to 725 pounds when wheat production increases from 200 to 400 pounds. Hence, the opportunity cost of this increase in wheat output is 50 pounds of poultry (775 - 725).

In both cases, the opportunity cost is determined by the reduction in poultry quantity resulting from an increase in wheat production.

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The situation that probably does not have a lurking variable operating in some way is, option D: Neighborhoods with more station wagons tend to have more playgrounds. So, the correct option is, option D.

This is because it is unlikely that there is a hidden variable that is causing both the presence of station wagons and the presence of playgrounds. It is possible that neighborhoods with more families and children tend to have both more station wagons and more playgrounds, but this is not a hidden variable as it is already known and understood.

In contrast, the other options all involve relationships between variables that could be explained by a hidden variable.

For example, in option A, it is possible that the lurking variable is the weather, which affects both the sales of cold medication and the sales of ice cream.

Similarly, in option E, the lurking variable could be the overall economic health of the town, which affects both the number of teachers and the sales of floor wax and cat litter.

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BMW of North America recalled certain vehicles with possibly defective head airbags in February 2018, and claimed that 4% of the recalled vehicles actually had defective airbags. Let X be the number of vehicles that have defective airbags out of six selected vehicles. The probability of a defective airbag is 4%, while the probability of a non-defective airbag is (1-0.04) = 0.96.

Using the binomial probability formula, the probability of x successes in n independent trials with the probability of success p is given by P(x) = nCx px(1 - p)n-x, where nCx represents the number of ways to choose x items from n distinct items. In this case, x = 0 (i.e., none of the six vehicles have a defective airbag), p = 0.04, and n = 6. Hence, we have:

P(0) = 6C0 (0.04)0 (0.96)6-0= 1(1)(0.96)6= 0.850 (approx)

Therefore, the probability that none of the six vehicles has a defective airbag is approximately 0.850.

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The correct way to find the terms of the sequence {B}, which represents the balance in James' account after each deposit, is by using option B. Multiply the balance of the previous month by the monthly interest rate to find the interest of this month. Then, add the deposit and the interest of this month found earlier to the balance of the previous month to determine the balance of this month.(option D)

In James' savings plan, the balance after the first deposit is $120, as he starts with $0. To find the balance after the second deposit, we multiply the previous balance ($120) by the monthly interest rate (0.0085), which gives us $1.02. Adding the deposit of $120 to this interest amount, we get $121.02 as the balance after the second deposit. Continuing this process, we find the following terms:

First deposit: $120

Second deposit: $121.02

Third deposit: $242.23

Fourth deposit: $364.69

Fifth deposit: $488.40

Each term is obtained by multiplying the previous month's balance by the monthly interest rate, adding the deposit amount, and summing it up. This approach reflects the compounding effect of interest on the account balance, resulting in an increasing balance over time.

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Answer:

C = 39

Step-by-step explanation:

From the question given above, the following data were obtained:

A = 2x + 108

B = x + 33

C =?

Next, we shall obtain an expression for C. This can be obtained as follow:

A + B + C = 180 (sum of angles in a triangle)

2x + 108 + x + 33 + C = 180

2x + x + 108 + 33 + C = 180

3x + 141 + C = 180

Make C the subject by rearranging

C = 180 – 141 – 3x

C = 39 – 3x

Next, we shall determine the value of x. This can be obtained as follow:

A = 2x + 108

B = x + 33

C = 39 – 3x

A + B + C = 180

2x + 108 + x + 33 + 39 – 3x = 180

2x + x – 3x + 108 + 33 + 39 = 180

3x – 3x + 180 = 180

3x – 3x = 180 – 180

3x – 3x = 0

x(3 – 3) = 0

x(0) = 0

x = 0

Finally, we shall determine C. This can be obtained as follow:

C = 39 – 3x

x = 0

C = 39 – 3(0)

C = 39 – 0

C = 39