1.) Find Pr (0< or equal to Y < 1) where Y ~ N (0,1)
2.) Find Pr (|w| < 0.2) where W ~ N
(-1,4)

The p-value for the test of the claims is roughly 0.004.

To test the claim of the bulb patron, we can use a thesis test with the following null and indispensable suppositions.

We can use the binomial distribution to calculate the probability of observing 1050 or further imperfect bulbs out of,000 if the imperfect rate is 0.01 or lower. This probability is the p-value of the test.

To calculate the p-value, we need to use the binomial distribution and find the probability of observing 1050 or further imperfect bulbs out of,000 if the imperfect rate is 0.01 or lower. Using a binomial calculator or statistical software, we can find that the probability of observing 1050 or further imperfect bulbs is roughly 0.004.

Since this p-value is lower than the significant position of 0.05, we can reject the null thesis and conclude that the imperfect rate of the bulbs is more advanced than 0.01.

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Using the simplex method, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

To solve the linear program using the simplex method, we start by converting the problem into standard form with all constraints in the form of inequalities and non-negative variables. The initial tableau for the problem is as follows:

 |   x1  |   x2  |   s1   |   s2   |   b   |

--------------------------------------------

z |  -3   |   6   |   0    |   0    |   0   |

--------------------------------------------

s1|   5   |   7   |   1    |   0    |   35  |

--------------------------------------------

s2|  -1   |   2   |   0    |   1    |   2   |

--------------------------------------------

Next, we perform the simplex iterations to improve the objective function value. After performing the necessary row operations, we arrive at the final tableau:

 |   x1  |   x2  |   s1   |   s2   |   b   |

--------------------------------------------

z |   0   |   1   |  3/2   |  -1/2  |   14  |

--------------------------------------------

s1|   0   |   0   |   4    |   3    |   5   |

--------------------------------------------

s2|   1   |   0   |  -1/2  |   5/2  |   3   |

--------------------------------------------

From the final tableau, we can see that the optimal solution is z = 14, with x1 = 0 and x2 = 5. The decision variable x1 is at its lower bound, indicating that it is non-basic. Therefore, there are no alternative optimal solutions in this case.

In summary, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

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Answer:

y=3x-1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y=3x-1

have a nice day ! :)

Answer:

yes but which script should I help you with

The North Pole, also known as the Geographic North Pole or Terrestrial North Pole, is the point in the Northern Hemisphere where the Earth's axis of rotation meets its surface. It is called the True North Pole to distinguish from the Magnetic North Pole.

The South Pole, also known as the Geographic South Pole or Terrestrial South Pole, is one of the two points where Earth's axis of rotation intersects its surface. It is the southernmost point on the surface of Earth and lies on the opposite side of Earth from the North Pole.

Answer:

name of script please!mate

The radius of the cone-shaped icecream that has a height of 4.5 in. and a volume of 1.5π in.³ is: 1 inches.

Volume = 1/3πr²h

The parameters of the cone are given below:

Height (h) = 4.5 in.

Volume of the cone = 1.5π in.³

Plug in the values to find radius (r):

1.5π = 1/3πr²(4.5)

3(1.5π) = πr²(4.5)

4.5π = πr²(4.5)

Divide both sides by 4.5π

1 = r²

r = 1 in.

Radius of the cone is 1 in.

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The amount that the item actually cost you after the discount is $28.

A discount simply means the amount that's is less off from a product.

The following information can be deduced:

Cost of item = $40

Sales off = 30%

The cost of the item will be:

= Cost - Discount

= $40 - (30% × $40)

= $40 - $12

= $28

The cost is $28.

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Answer:

41/10,000

Step-by-step explanation:

7/17% = 0.41% = 0.0041

41/10,000

The given quantity 7/17% is a whole fraction of the number 41.17.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Fraction is defined as the number of compositions that constitutes the Whole.

here,
Let the x be the required number,
x  = 7 / 17%
x = 7/ 0.17
x = 41.17

Thus, the given quantity 7/17% is a whole fraction of the number 41.17.

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The average for the first full season when Stephen hit the ball is 0.60.

The average for the first full season can be determined by adding the number of time he hit the ball in the first half and the second half of the season together and then dividing it by the total number of bats.

Average is a measure of central tendency. Average is also known as mean. Other measures of central tendency are mode and median.

Average = sum of the times he hit the ball / total number of bats

(12 + 6) / (16 + 14)

18 / 30 = 0.60

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Measurement is the act of comparing an object's properties to a standard quantity. It is crucial in determining an object's quantity.

For instance, to measure the height of a tin, one must measure the vertical distance from the base to the top.

The measurement must be in millimeters, and a ruler is the most suitable tool.

To do this, place the ruler vertically with point 0 at the baseline of the tin, mark the point where the ruler coincides with the top, and read the height to the nearest millimeter.

To measure the height of a tin in millimeters, follow these steps:

Obtain a ruler that has millimeter markings.

Place the tin upright on a flat surface.

Position the ruler vertically with its zero point aligned with the base of the tin.

Carefully move the ruler up or down until it reaches the top edge of the tin.

Read the measurement value at the point where the ruler aligns with the top edge of the tin.

Record the height measurement in millimeters to the nearest whole number.

For example, if the measurement value is 65.5 millimeters, then the real height of the tin in millimeters is 66 millimeters (rounded to the nearest whole number).

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List the procedure to measure the height of a tin in mm and write the real height in mm

Using proportions, it is found that 2.04 times more pennies were minted in the year 2000 compared to the year 2013.

A proportion is a fraction of a total amount. From it, the amount of times a measure a is greater than a measure b is given by a divided by b.

In this problem:

Hence, 2.04 times more pennies were minted in the year 2000 compared to the year 2013.

Hence, applying the proportion:

\(\frac{1.43 \times 10^{10}}{7.07 \times 10^9} = \frac{14.3 \times 10^9}{7.07 \times 10^9} = 2.04\)

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The angular velocity of the point on the rim of the wheel is 25 radians per second.

The linear velocity of a point on a wheel's rim is determined by:

v = rω

v = linear velocity

r = radius of the wheel

ω = angular velocity.

In this case, the diameter of the wheel is 8 feet, so the radius is 4 feet. The linear velocity is given as 100 feet per second, so we have:

100 = 4ω

Solving for ω, we get:

ω = 25 radians per second

Therefore, the angular velocity of the point on the rim of the wheel is 25 radians per second.

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To check whether the true average is 59k or not, A sample mean T-Test needs to be conducted. The true value of 59k is 44k after the test.

In the field of statistics, average means that the ratio of the sum of the numbers of a given set, to the total number of characters in a given set. It is also called as the Arithmetic mean.

It is given that the student center has published the data that the average salary of the college graduates is 59k. Accordingly, the sample of 49 college students were verified and the sample average salary came out to be 44k.

When we analyze the  given question, we find that,

The total number of students were 49,The true average was found to be 59k,and the Sample average is found to be 44k.

Thus, in  the present question we will use the One- sample T-test.

We used this test, as the statistical hypothesis test is used to find if the unrecognized population mean is different from the specific value.

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14. $11.50, $11.50, $11

15. $125.87, $125.90, $126

16. $39.02, $39, $39

17. $62.58, $62.60, $63

18. $0.54, $0.50, $1

19. $0.45, $0.50, $0

20. $831.39, $831.40, $831

hope this helped u in some way

plz give me brainliest this took a while

Answer:

13/8

Step-by-step explanation:

let the number be x

5/8 - x = -1

-x = -1 - 5/8

-x = - 13/8

x = 13/8

5/8- 13/8 = -1

Answer:

13/8

Step-by-step explanation:

5/8 - x = -1   where x is the number to be found.

- x = -1 - 5/8

x = 5/8 + 1

   = 13/8.

Answer:

A = pi ft^2

If we approximate by 3.14

A = 3.14 ft^2

or use the pi button

A =3.141592654 ft^2

Step-by-step explanation:

The area of a circle is found by

A = pi r^2

A = pi (1)^2

A = pi ft^2

If we approximate by 3.14

A = 3.14 ft^2

or use the pi button

A =3.141592654 ft^2

Answer:

20x + 20

Step-by-step explanation:

4(2x+3)+ 4(3x+2)

Expand the brackets.

8x + 12 + 12x + 8

Now simplify.

20x + 20

Answer:

\(common \: difference \: decreases \: by \: 1\\ next \: term = 4 - 1 \\ = 3\)

Answer:

In order of the questions asked, the answers are, C, D, A, C

Step-by-step explanation:

After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.

if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D

the isotope for dating organic remains is A. carbon-14

for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460

so the answer is C

Based on the table (see attachment), the time which corresponds to the mode of this data set is: B. 9:00 P.M.

A mode simply refers to a statistical term that is used to denote the value that appears most often or occurs repeatedly in a given data set.

This ultimately implies that, a mode represents the value (number) with the highest frequency and this is 9:00 P.M with a frequency of 25.

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Answer: B 9:00

Step-by-step explanation:

The money that the man invested was $500 at 5%, $1100 at 7% and $1500 at 8%.

An equation is an expression that can be used to show the relationship between variables and numbers.

Let x represent the money invested at 5%, y represent the money invested at 7% and z represent the money invested at 8%.

A man invests $3100 in three accounts. Hence:

x + y + z = 3100   (1)

He has 3 times as much invested at 8 % than he does at 5 %. Hence:

z = 3x    (2)

His total interest for the year is $222, therefore:

0.05x + 0.07y + 0.08z = 222     (3)

From the three equations:

x = 500, y = 1100 and z = 1500

He invested $500 at 5%, $1100 at 7% and $1500 at 8%.

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The probability that it takes Rita more than 10 pulls to start her old mower can be calculated by finding the probability of failure in the first 10 pulls, which is \((0.8)^{10}\). This probability is approximately 0.1074, or 10.74%.

To find the probability that it takes Rita more than 10 pulls to start her mower, we need to calculate the probability of failure in the first 10 pulls. Since the probability of success (the mower starting) on any particular pull is 20%, the probability of failure on a single pull is 1 - 0.2, which is 0.8.

To calculate the probability of failure in the first 10 pulls, we multiply the individual probabilities of failure for each pull. Since each pull is an independent event, we can use the multiplication rule for independent events. Therefore, the probability that Rita fails to start the mower on the first pull is 0.8. The probability of failure on the second pull is also 0.8, and so on.

Multiplying the individual probabilities of failure for each of the 10 pulls, we get (0.8)^10, which is approximately 0.1074, or 10.74%. This means that there is approximately a 10.74% chance that it will take Rita more than 10 pulls to start her old mower.

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The utility of bundle (4,6) for Mark, given the utility function U(x,y) = min{2x, 3y}, is 12.

the utility of bundle (4,8) for Mark is also 12.

For Rob's utility function U(x,y) = 3x + 2y, the utility of bundle (3,4) is 17.

The utility of bundle (4,6) for Mark, given the utility function U(x,y) = min{2x, 3y}, is 12. The utility is determined by taking the minimum value between 2 times the quantity of good x (2x) and 3 times the quantity of good y (3y). In this case, 2 times 4 is 8, and 3 times 6 is 18. Since the minimum value is 8, the utility of bundle (4,6) is 8.

Similarly, the utility of bundle (4,8) for Mark is 12. Again, we compare 2 times 4 (8) with 3 times 8 (24). The minimum value is 8, resulting in a utility of 8 for the bundle (4,8).

For the second part of the question, we'll now consider Rob's utility function: U(x,y) = 3x + 2y. The utility of bundle (3,4) for Rob can be calculated as follows: 3 times 3 (9) plus 2 times 4 (8), which equals 17. Therefore, the utility of bundle (3,4) for Rob is 17.

Indifference curves represent combinations of goods that yield the same level of utility for an individual. Since the utility function U(x,y) = 3x + 2y is a linear function, the indifference curve passing through the bundle (3,4) will be a straight line with a negative slope.

It implies that as one good increases, the other must decrease in a specific ratio to maintain the same level of utility. By plotting different bundles that yield the same utility level of 17, we can draw the indifference curve through the point (3,4).

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x = number of appointments

y = total amount earned in dollars

The total earnings equation is y = 2x+40

The 2x is from her earning $2 per appointment. If she makes x of them, then she earns 2x dollars. This is on top of the $40 from working the full day.

She wants to earn at least $75. This means she wants to earn $75 or more.

This means,

\(y \ge 75\\\\2x+40 \ge 75\\\\2x \ge 75-40\\\\2x \ge 35\\\\x \ge \frac{35}{2}\\\\x \ge 17.5\)

Since x is the number of appointments, and we can't have a fractional number of appointments, we must round up to x = 18. This is the lowest number of appointments she can do and earn $75 or larger.

If x = 17, then

y = 2x+40 = 2*17+40 = 34+40 = 74

which is not 75 or larger

But if x = 18, then

y = 2x+40 = 2*18+40 = 36+40 = 76

which is larger than 75, so we've cleared the hurdle.

We can say the solution set is \(x \ge 18\) where x is a whole number. So she could book x = 18, x = 19, x = 20, x = 21, etc as the number of appointments to reach her goal.

In summary, she must schedule at least 18 appointments to earn $75 or more.

Since she makes $2 for every appointment she makes we would need to use 40+2n so she would get $2 per appointment no matter how many appointments she makes. Also, we wouldn't use an equal sign because they didn't say she needed to earn exactly $75. They said she needed to earn "at least" $75. At least means equal to or greater than ≥. So the inequality would be 2n+40≥75. PRO TIP: Any time it asks you to write an inequality you will use either <, >, ≤, or ≥ not an =.An equation uses =, an inequality uses the other symbols

Their present age are:

Vikas 's age = 15 years, Mother's age = 42 years  and

Grandmother's age = 64 years.

Let that present age of Vikash is x yrs.

So, his Mother's age= (x+27) yrs

Grandmother's age = (x+27+22) i.e., (x+49) yrs.

According to question,

   x+ (x+27)+ (x+49) = 121

⇒ 3x+ 76 = 121

⇒ 3x = 121-76

⇒ x= 45/3

⇒ x = 15

Therefore,

x = 15

Which means the age of Vikas is 15 years.

Now

So, mother's age will be = 15+27

                                        = 42 years.

And,

Grandmother's age = 15+49

                                = 64 years.

Hence, age of Vikash, his Mother and his Grandmother are 15 yrs, 42 yrs, and 64 yrs respectively.

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A linear trend line is best fits the data.

The theory used in this question is linear regression, which is used to identify the linear relationship between two variables.

By plotting the points from the scatter plot and fitting a line to the data, we can determine the linear trend of the data.

1. Look at the scatter plot and identify the type of data.

In this case, the data is numeric, showing the relationship between two variables: the number of Thai iced teas and the number of roti sold each day.

2. Determine the type of line that best describes the data.

A linear trend line is best for this type of data, as it shows the relationship between the two variables in a straight line.

3. Draw the line. Using the data points from the scatter plot, draw a straight line that passes through as many of the points as possible.

This line is the linear trend line.

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1. No environmentally produced diseases are inherited afflictions. Some psychological disorders are not inherited afflictions. Therefore, some psychological disorders are environmentally produced diseases. This statement invalid.

2. All watercolors are paintings. Some watercolors are masterpieces. Therefore, some paintings are masterpieces. This statement is invalid.

3. No illegal aliens are persons who have a right to welfare payments, and some migrant workers are illegal aliens. Thus, some persons who have a right to welfare payments are migrant workers. This statement is valid.

4. No insects that eat mosquitoes are insects that should be killed. All dragonflies are insects that eat mosquitoes. Therefore, no dragonflies are insects that should be killed. This statement is invalid.

5. All corporations that overcharge their customers are unethical businesses. Some unethical businesses are investor-owned utilities. Therefore, some investor-owned utilities are corporations that overcharge their customers. This statement is valid.

A Venn diagram uses overlapping circles and other shapes to show logical relationships between two or more groups of elements. It often helps to organize things graphically by highlighting similarities and differences between elements.

Venn diagrams, also known as set diagrams or logic diagrams, are widely used in mathematics, statistics, logic, education, linguistics, computer science, and economics. Venn diagrams became part of his "new mathematics" curriculum in the 1960s, so many people encounter them for the first time when learning mathematics or logic in school. These can be simple diagrams spanning 2 or 3 sets of a few items, or can be very sophisticated including 3D presentations as you progress to 6 or 7 sets or more. There is also They are used to reason about and represent how objects are related to each other within a particular "universe" or segment. Venn diagrams are widely used in presentations and reports as they allow users to visualize data in a clear and powerful way. These are closely related to Euler diagrams, differing in that the set is omitted if it has no elements. Venn diagrams show relationships even when the set is empty.

Suppose our universe is made up of pets and we want to compare the types of pets that families agree on.

Set A contains my favorites: dogs, birds, hamsters.

Set B contains Family B's preferences: dog, cat, fish.

Set C contains family C's favorites: dog, cat, turtle, and snake.

Overlapping or intersecting 3 sets contains only Dog. it's like having a dog

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Answer:

6 \(\frac{3}{20}\) is your answer. Hope it helps!