a manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 13 of the plates have blistered. (a) does this provide compelling evidence for concluding that more than 10% of all plates blister under such circumstances? state and test the appropriate hypotheses using a significance level of 0.05. h0: p

The measurements are paired.

The given study that was conducted to investigate the effectiveness of hypnotism in reducing pain used the data collected from eight subjects who were asked to rate their pain level before and after a hypnosis session. Therefore, this type of study is paired or dependent samples.

Why? Paired sample design is a design in which the same people are tested more than once, before and after treatment, and the difference in their scores is calculated.

Paired sample design, in which the same people are tested twice, eliminates the problem of individual variability, which is when some people score higher on a measure due to individual differences rather than the treatment being evaluated.

In this case, the same subjects rated their pain level before and after receiving hypnosis therapy. As a result, the experiment can be considered dependent or paired. The pain ratings made before and after the hypnosis sessions are related because the same subjects provide the ratings.

Therefore, the measurements are paired.

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Answer:

6 batches

Step-by-step explanation:

A chef uses a recipe with the following ingredients. Then the chef decides to make more than 1 batch of the recipe.

Fruit              Cups Used

Apples              5

Mangoes           3

Blueberries      2

Blackberries     1

If there are 30 cups of mangoes and blueberries are used. We need to find no of batches of the recipe did the chef make. Let it is n.

Sum of mangoes + Blueberries = 5

So,

\(n=\dfrac{30}{5}\\\\=6\)

Hence, the chef make 6 batches.      

Answer:

6 batches

Step-by-step explanation:

Karan plans to construct an obtuse angled triangle ΔXYZ, and Riya plans to construct a right angled triangle ΔLMN.

The given information:

Karan plans to construct an obtuse angled triangle ΔXYZ with ∠Y = 85° and ∠Z = 115°.

Riya plans to construct a right angled triangle ΔLMN with ∠L = 60° and ∠M = 90°.

We can make the following observations:

The sum of angles in a triangle is always 180°.

The measure of the third angle in each triangle as follows:

ΔXYZ:

∠X = 180° - ∠Y - ∠Z

= 180° - 85° - 115°

= 40°

ΔLMN:

∠N = 180° - ∠L - ∠M

= 180° - 60° - 90°

= 30°

In an obtuse angled triangle one angle is greater than 90°.

In ΔXYZ, ∠Z = 115° is greater than 90° so it is indeed an obtuse angled triangle.

In a right angled triangle one angle is exactly 90°.

In ΔLMN, ∠M = 90° is the right angle so it is indeed a right angled triangle.

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Co-factors:Co-factors represent functions that result when some variables are fixed. The function can be divided into various co-factors based on the variables involved. In general, we can say that co-factors are the functions left when one or more variables are held constant.

Consider the following minimal sum-of-products (SOP) expression of a 5-variable function:f = a′bce + ab′c′e + cde′ + a′bc + bce′ + ac′d + a′b′c′d′e′. We need to derive six co-factors of the given function. They are: f_a, f_a', f_a'b', f_a'b, f_ab', and f_ab.1. f_a: We can take f(a=0) to find f_a = bce + b′c′e + cde′ + bc′d + b′c′d′e′2. f_a': We can take f(a=1) to find f_a' = bce + b′c′e + cde′ + bc + b′c′d′e′3. f_a'b': We can take f(a=b'=0) to find f_a'b' = ce + c′e′ + de′4. f_a'b: We can take f(a=0, b=1) to find f_a'b = ce + c′e′ + cde′ + c′d′e′5. f_ab': We can take f(a=1, b=0) to find f_ab' = ce + c′e′ + b′c′d′e′ + bc′d′e′6. f_ab: We can take f(a=b=1) to find f_ab = ce + c′e′ + b′c′d′e′ + bc′d′e′ROBDD:ROBDD stands for Reduced Ordered Binary Decision Diagram. It is a directed acyclic graph that represents a Boolean function. The nodes of the ROBDD correspond to the variables of the function, and the edges represent the assignments of 0 or 1 to the variables. The ROBDD is constructed in a top-down order with variables ordered in a given way. In this case, we are assuming top-to-bottom variable order a,b,c,d,e.

The ROBDD for the given function is shown below:The six nodes of the ROBDD correspond to the six co-factors that we derived in part (a). The fx​ labels are given to show which node corresponds to which co-factor.Changing variable order:If we change the variable order, we might get a smaller ROBDD. This is because the variable ordering affects the structure of the ROBDD. The optimal variable order depends on the function being represented. Without deriving another ROBDD, we can propose the first variable in a new order that is most likely to yield a smaller ROBDD.

We can consider the variable that has the highest degree in the function. In this case, variable c has the highest degree, so we can propose c as the first variable in a new order that is most likely to yield a smaller ROBDD. This is because fixing the value of a variable with a high degree tends to simplify the function. However, the optimal variable order can only be determined by constructing the ROBDD.

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The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

\(11.5 \times 6 + 10.9 \times 7\)

69 + 76.3

145.3

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Your answer is 8x^3 + 2x^2 - 3x + 18, if you want me to show the steps just let me know and I will gladly comment it , but I hoped this helped :)

The car's value will decreases to $6,200 in about 8.65 years.

First, let's find the annual depreciation of the car. The car is purchased for $19,000 and depreciates at 7.75% per year, so the annual depreciation is:

⇒ 0.0775 x $19,000 = $1,478.50.

Now that we know the annual depreciation of the car, we can divide the difference in value by the annual depreciation to find out how long it will take for the value of the car to reach $6,200.

The value of the car decreases from $19,000 to $6,200, so the difference in value is :

⇒ $19,000 - $6,200 = $12,800.

Dividing this difference by the annual depreciation of $1,478.50:

⇒ $12,800 / $1,478.50 = 8.65 years.

Therefore, it will take approximately 8.65 years for the value of the car to reach $6,200.

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Answer:

  36 meters

Step-by-step explanation:

You are given an angle and the length of the side adjacent. You want to find the length of the side opposite, so the relevant trig relation is ...

  Tan = Opposite/Adjacent

The height of Yuri's balcony is the sum of the heights of Kim's balcony and the height of Yuri's balcony above that. Each of those height is the side opposite a given angle in a right triangle. These can be found by solving the tangent relation for the opposite side:

  Tan = Opposite/Adjacent

  (Adjacent)(Tan) = Opposite

  height of Kim's balcony = (30 m)tan(40°)

  height above Kim's balcony = (30 m)tan(20°)

__

  height of Yuri's balcony = height of Kim's + height above Kim's

  height of Yuri's balcony = (30 m)tan(40°) +(30 m)tan(20°)

  height of Yuri's balcony = (30 m)(tan(40°) +tan(20°))

  height of Yuri's balcony ≈ (30 m)(0.8391 +0.3640) ≈ 36.092 m

The height of Yuri's balcony is about 36 meters.

By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.

To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.

Since a van can ferry a maximum of 12 people, we can write the inequality as:

12v ≥ 80

Now, let's solve for "v":

Divide both sides of the inequality by 12.
v ≥ 80/12

Simplify the inequality.
v ≥ 6.67

Since we cannot have a fraction of a van, we need to round up to the nearest whole number:

v ≥ 7

Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.

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Answer:

16y+qy  

2

​

+41Y  

2

​

−1140Y

Step-by-step explanation:

Pasos de la solución

8×2y+q×y2+41×Y2−570×2Y

Multiplica 8 y 2 para obtener 16.

16y+qy  

2

​

+41Y  

2

​

−570×2Y

Multiplica 570 y 2 para obtener 1140.

16y+qy  

2

​

+41Y  

2

​

−1140Y

Using the normal distribution and the central limit theorem, the probability the sample mean is more than 10 words is of 0.0210.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the parameters are given as follows:

\(\mu = 8.6, \sigma = 4.3, n = 39, s = \frac{4.3}{\sqrt{39}} = 0.6885\)

The probability that the sample mean is more than 10 words is one subtracted by the p-value of Z when X = 10, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{10 - 8.6}{0.6885}\)

Z = 2.03.

Z = 2.03 has a p-value of 0.979.

1 - 0.979 = 0.021.

The probability the sample mean is more than 10 words is of 0.0210.

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Answer:

Adding by 4 each time

Step-by-step explanation:

According to the question,

Given data,

The correlation between cost and distance is 0.791.

The farther the house is from a first station, the higher cost of damage tends to be.

the correlation between cost and distance

The largest single cost of liver transplantation is the cost of organ acquisition, with the variable portion of that amount being associated travel costs. We assessed the proportion of donors using ground, air, and jet transport and compared the transport costs of these three types of transport and their impact on organ procurement costs for transplant centers.

How is correlation measured?

The sample correlation coefficient r quantifies the strength of the relationship. Correlations are also tested for statistical significance.

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Answer:it should be B and D

Step-by-step explanation:

B could be rotated clockwise and D could be rotated clockwise as well.

Answer:

Mrs. Donaldson earned 907.20 dollars.

Step-by-step explanation:

907.20

Answer:

Shortest distance of first mantel should be 3 ft from left end and shortest distance of second mantel should be 3 ft from right end

Step-by-step explanation:

Length of the mantel = 12 ft

Since first vase is 1/4 of the distance from one end of the mantel, then let's choose left end;.

Distance of first vase from left end = 1/4 × 12 = 3 ft

Also, distance of second vase from left end = 3/4 × 12 = 9 ft

This second vase is 9 ft from left end. Which means it is 3 ft from right end since the mantel is 12 ft in length.

Thus,shortest distance of first mantel should be 3 ft from left end and shortest distance of second mantel should be 3 ft from right end.

Answer:

The number that doesn't belong in the series is going to be 8.

8 doesn't fit in the numerical pattern; therefore, fails to justify it's unnecessary existence in the series.

Step-by-step explanation:

The recursive formula that represents the value of account is a (n) = 1.0194 ;a (n-1); V (0) = 3.38.

Any term of a series can be defined by its preceding term in a recursive formula (s).

The general formula to find recursion is \(a_{n}= ra_{n-1}\) where r is the common ratio and n should ne grater than 2.

a (n) = 3.38. a (n-1);a (1) = 1.0194

a(n) = 3.38. a (n - 1);a (0) = 1.0194

a(n) = 1.0194. a (n-1);a (1) = 3.38

a (n) = 1.0194 .a (n-1); a (0) = 3.38

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Answer:

B and D

Step-by-step explanation:

Have a nice week!

(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧ ✧ﾟ･: *ヽ(◕ヮ◕ヽ)

the probability that at most 3 complaints will be received during the next 4 hours is 0.2381 or approximately 23.81%.

Let X be the number of complaints received in 4 hours. Then X follows a Poisson distribution with mean λ = 0.5 complaints/hour × 4 hours = 2 complaints.

To find the probability that at most 3 complaints will be received during the next 4 hours, we can use the Poisson probability formula:

P(X ≤ 3) = e^(-λ) * [λ^0/0! + λ^1/1! + λ^2/2! + λ^3/3!]

P(X ≤ 3) = e^(-2) * [1/1 + 2e^(-2)/1! + 4e^(-2)/2! + 8e^(-2)/3!]

P(X ≤ 3) = 0.2381

what is number?

A number is a mathematical object used to quantify and measure things. It can be used to represent quantities such as size, amount, distance, time, and many other things. Numbers can be integers, fractions, decimals, or irrational numbers, and they can be positive, negative, or zero. In mathematics, numbers are used to perform calculations and solve problems in various fields such as science, engineering, economics, and more.

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Answer:

What is the question?

Step-by-step explanation:

If a value that is is greater than 100% of the original value will always be larger than original value.

If a value is less than 1% of the original value will always be less than the original value.

Given,

A value that is greater than 100% of the original value.

And it is 1% less than the original value.

We have to compare these values with the original value;

That is,

A value that is greater than 100% of the original value,

eg;

130% of 20 = 20 × 130/100 = 26

26 is greater than 20.

That is,

If a value that is is greater than 100% of the original value will always be larger than original value.

Next,

It is 1% less than the original value.

eg;

1% of 20 = 1/100 × 20 = 0.2

0.2 is less than 20

That is,

If a value is less than 1% of the original value will always be less than the original value.

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Answer:

The triangle has three acute angles, so it is an acute triangle. The triangle has two congruent sides, so, it is an isosceles triangle. It is an acute isosceles triangle.

Step-by-step explanation:

Answer: its 40 because its a whole number

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pedometer

Answer:

Step-by-step explanation:

f(x) = 3x + 4

When you are just beginning this material, the x when something is substituted for on the left, must also become the same value on the right

f(5) = 3*5 + 4

f(5) = 15 + 4

f(5) = 19

Answer:

Given the ratio for dinosaur stamps to airplane stamp, the correct ratio is 18 : 12

Step-by-step explanation:

Dinosaur stamps = 18

Airplane stamps = 12

John wrote:

ratio of dinosaur stamps to airplane stamps = 12 to 18

Correct ratio:

ratio of dinosaur stamps to airplane stamps = 18 : 12

= 18/12