HELP ILL GIVE YOU 50 POINGS

a) The probability of failing to meet the specification limit of 45-pounds tensile strength 15.87%.

b) The number of parts that would not meet the specification is 7,935.

a) Given that the tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds.

We have to find the probability of failing to meet the specification limit of 45-pounds tensile strength.

Using the standard normal distribution, we can find the probability of failing to meet the specification limit of 45 pounds as follows:

z = {45 - 40}/{5}

= 1

The probability of failing to meet the specification limit of 45 pounds is the probability that the standardized variable Z is greater than 1, which is given by:

P(Z > 1) = 0.1587

Therefore, the probability of failing to meet the specification limit of 45-pounds tensile strength is 0.1587 or 15.87%.

b) If the probability of failing to meet the specification is 0.1587, the probability of meeting the specification limit is

1 - 0.1587 = 0.8413

.If 50,000 parts are produced, then the expected number of parts that meet the specification limit is:

0.8413* 50,000 =  42,065.

Therefore, the number of parts that would not meet the specification is: 50,000 - 42,065 = 7,935.

Hence, about 7,935 parts would not meet the specification.

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First symmetrically cut the pentagon to get 5 pieces. (So that you will get the idea that this polygon is divided into 5 triangles)

Then find the area of one of the triangles:

Area of Triangle = \(\frac{1}{2} bh\)

A = \(\frac{1}{2}\) × 4 × 10

A = 20 m²

To find the area of the whole pentagon shape:

A = 20 × 5 = 100 m²

Hope it helps!

The attached below is the graph and the three points to solve the equation is (0,1) , (1,5/2) and (-1,-1/2)

According to the question the equation that we have been given is

              -3x + 2y = 2

We need to graph the linear equation. For this we will first put different values of x in the above equation and then find the values of y which will be the coordinates of the graph.

First put x = 0

                  -3(0) + 2y = 2

                         2y = 2

                          y = 1

hence the first coordinate is (0,1)

Similarly put,     x = 1

                       -3(1) + 2y = 2

                           2y = 5

                             y = 5/2

            when x= -1 then y = -1/2

Thus the three point or coordinates are (0,1) , (1,5/2) and (-1,-1/2) and below is the graph.

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Answer:

An approximate decimal answer is 8.944, so then you have to round up so it would be 9.0

Step-by-step explanation:

Answer:

\( \sqrt{80} = \sqrt{16 \times 5} = \sqrt{16} \sqrt{5} = 4 \sqrt{5} \\ \\ 4 \sqrt{5} = 4 \times 2.236 = 8.944\)

so; 8.9 = 9

I hope I helped you^_^

Answer:

The rate of change is positive 96%

Step-by-step explanation:

.96 = 96%

Answer: 40 HOURS

Step-by-step explanation:

If the students complete 30% of the project in 12 hours,

that means:

12 h................................30%

? h...................................100%

(12*100)/30= 40H

THE STUDENTS NEED 40H TO COMPLETE THE PROJECT

It will take 40 hours for the group to finish the project.

If the students complete 30% of the project in 12 hours,

that means:

⇒ 12 h = 30%

⇒ ? h = 100%

By using percentage theory:

Percentage formula = (Value/Total value) × 100.

⇒ (12*100)/30= 40H

The answer is 40 hours.

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100.

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Answer:

D. 12 by 12 inches

Step-by-step explanation:

36*36= 1296

100*44= 4400

50*22= 1100

none of these answers equal 144 except for 12*12

hope this helps <3

Answer: 85.41 percent

Step-by-step explanation:

2882.45 / 3374.60 = 0.8541 or 85.41%

Answer:

85.416%

Step-by-step explanation:

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The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.

The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:

Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2

The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:

dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20

Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:

Revenue = 200(20) - 5(20^2) = $2000

Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.

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If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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Answer:

a. 1.26

b. 0.1038

Step-by-step explanation:

The p-value is 1.0000 (rounded to four decimal places). This means that we fail to reject the null hypothesis, which in this case would be that the population mean is equal to the sample mean of 26.2.

To find the test statistic, we need to use the formula:

test statistic = (sample mean - population mean) / (standard deviation / square root of sample size)

Since the population standard deviation is given as 6, we can plug in the values:

test statistic = (26.2 - population mean) / (6 / √40)

To find the population mean, we can use the fact that the sample mean is an unbiased estimator of the population mean, so:

population mean = sample mean = 26.2

Plugging in the values, we get:

test statistic = (26.2 - 26.2) / (6 / √40) = 0

The test statistic is 0.

To find the p-value, we need to use a t-distribution table or calculator. Since we have a sample size of 40, we can use the t-distribution with 39 degrees of freedom.

Using a calculator or table, we can find that the area to the right of 0 (since the test statistic is 0) is 0.5. Since this is a two-tailed test, we need to double this value to get the p-value:

p-value = 2 * 0.5 = 1.0000
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Answer:

\(x = \frac{1}{5} \)

Step-by-step explanation:

8-9=-5x

-1=-5x (divide both sides by -5)

x=-1/5 (since they r both negative they both become positive)

x=1/5

a. Two populations.

b. Qualitative (categorical) data.

c. Proportion stats.

d. Null hypothesis: p1 = p2 (The proportion of seniors who bring a bag lunch is equal to the proportion of sophomores who bring a bag lunch). Alternative hypothesis: p1 > p2 (The proportion of seniors who bring a bag lunch is greater than the proportion of sophomores who bring a bag lunch).

e. Z-test for two proportions.

f. P-value.

g. A small P-value provides convincing evidence to support Phoebe's hunch that older students are more likely to bring a bag lunch than younger students.

h. 95% confidence interval to estimate the difference in proportions.

What is hypothesis?

A hypothesis is a proposed explanation or assumption that is tested through research and data analysis. It is a statement that suggests a relationship or difference between variables or phenomena and serves as a basis for scientific investigation.

a. There are two populations in this problem: the population of seniors and the population of sophomores.

b. This is a problem about qualitative (categorical) data since we are examining whether students bring a bag lunch or not.

c. We will use the proportion stats option in StatCrunch to complete this problem.

d. Null hypothesis (H0): The proportion of seniors who bring a bag lunch is equal to the proportion of sophomores who bring a bag lunch.

Alternative hypothesis (Ha): The proportion of seniors who bring a bag lunch is greater than the proportion of sophomores who bring a bag lunch.

e. The test statistic is the z-test for two proportions.

f. The P-value is the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true.

g. The strength of the P-value determines the level of evidence against the null hypothesis. If the P-value is small (below the significance level), it provides strong evidence against the null hypothesis. In this case, a P-value less than 0.05 (assuming significance level α = 0.05) would suggest convincing evidence to support Phoebe's hunch.

h. To construct a 95% confidence interval to estimate the difference in proportions, we use the formula:

Confidence interval = (p1 - p2) ± z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

where p1 and p2 are the sample proportions, n1 and n2 are the sample sizes, and z is the critical value corresponding to the desired confidence level (in this case, z value for a 95% confidence level).

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Question:

Write an algebraic statement that represents all the ways your player will win. Be sure to define your variable

Answer:

Erica:

\(0 \leq |x - y| < 10\)

Nita:

\(10 < |x - y| \leq 20\)

Step-by-step explanation:

Given

Players: Erica & Nita

Range: 0 to 20

Represent Erica with x and Nita with y

For Erica to win;

The difference between x and y must be less than 10 but greater than or equal to 0

i.e.

\(0 \leq x - y \leq 10\) or \(0 \leq y - x \leq 10\)

These two expressions can be merged together to be:

\(0 \leq |x - y| < 10\)

For Nita to win;

The difference between x and y must be greater than 10 but less than or equal to 20

i.e.

\(10 < x - y \leq 20\) or \(10 < y - x \leq 20\)

These two expressions can be merged together to be:

\(10 < |x - y| \leq 20\)

Thus, the 95% confidence interval for the difference between the proportions of Californians and Oregonians who are sleep deprived is

(-0.0175,0.0015)

What is a confidence interval?

The confidence interval is the range of values that the population parameter is anticipated to have given the specified level of confidence. To put it another way, it can be characterized as an interval estimate of the population parameter that is computed for the provided data using a point estimate and the specified confidence level.

Furthermore, the confidence level shows if the population parameter may be contained within the confidence interval. Typically, is used to indicate the confidence level. The researcher chooses what value to use. 90%, 95%, and 99% are some of the most popular confidence percentages.

Proportion:

The proportion is the ratio of the number of favorable outcomes to all other possible outcomes in the sample. A percentage is a portion of the whole that represents a specific attribute. In other terms, proportion is defined as the number of instances of a specific feature divided by the total number of all characteristics.

The formula of proportion 1 is defined as,

\(p_{1}=\frac{x_{1}}{n_{1}}\)

Where, \(x_{1}\) is the number of success for sample 1

\(n_{1}\) is the sample size for sample 1.

The formula of proportion 2 is defined as,

\(p_{2}=\frac{x_{2}}{n_{2}}\)

Where, \(x_{2}\) is the number of success for sample 1

\(n_{2}\) is the sample size for sample 1.

The formula for the confidence interval is,

\(CI=(p_{1}-p_{2})\pm z_{\frac{a}{2}}\sqrt{ \frac{ p_{1}(1-p_{1})} {n_{1}} + \frac{ p_{2}(1-p_{2})} {n_{2} }\)

Here, confidence level is 0.95.

For (1-α)=0.95, α=0.05

From the Standard Normal Table, \(P(Z\le z)=0.05\)

The procedure for finding the z-value is listed below:

1.From the table of standard normal distribution, locate the probability value of 0.05.

2.Move left until the first column is reached. Note the value as 1.9.

3.Move upward until the top row is reached. Note the value as 0.06.

4.The intersection of the row and column values gives the area to the two tail of z.

i.e.\(P(Z\le 1.96)=0.05\)

\(Z_{0.05}\)  value for 95% confidence level is 1.96.

The 95% confidence interval for the difference between the proportions of Californians and Oregonians who are sleep deprived is obtained below:

From the information given, it is clear that the values are

\(p_{1}\)=0.08

\(p_{2}\)=0.088

\(n_{1}\)=11545

\(n_{2}\)=4691

Use the formula of CI  to find the confidence interval,

\(CI=(0.08-0.088)\pm 1.96}\sqrt{ \frac{ 0.08(1-0.08} {11545} + \frac{ 0.088(1-0.088} {4691 }\)

On simplifying, CI=(-0.0175,0.0015)

Just by changing the corresponding values in the confidence interval calculation, it is possible to calculate the 95% confidence interval for the difference between the percentages of sleep-deprived people in Oregon and California. 95% of the time, the population parameter proportion of the difference between the proportions of sleep-deprived people in Oregon and California will fall inside the confidence range.

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Answer:

No

Step-by-step explanation:

The given inequality is b < 1.  We determine whether or not b = 5 is a solution by substituting 5 for b and asking ourselves whether the resultant inequality is true or not:

5 < 1 is FALSE and so b = 5 is NOT a solution of the given inequality.

The probability of event B, P(B), is 0.1667.

To find the probability of event B, we can use the formula for the probability of the intersection of two independent events:

P(A and B) = P(A) * P(B)

We are given that P(A and B) = 0.10 and P(A) = 0.6.

Let's substitute these values into the formula:

0.10 = 0.6 * P(B)

To solve for P(B), we divide both sides of the equation by 0.6:

0.10 / 0.6 = P(B)

Simplifying the division:

P(B) ≈ 0.1667

Therefore, the probability of event B, P(B), is approximately 0.1667.

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The expression 60⋅1.2^t models the number of nano-related patents granted in the US as a function of years since 1991.


Start with the number 60.

This represents the initial number of nano-related patents granted in the US in the year 1991.

Multiply 60 by 1.2.

This accounts for a growth factor of 1.2, indicating that the number of patents granted is increasing by 20% each year.

Raise 1.2 to the power of t. The variable t represents the number of years since 1991. This allows the expression to model the increase in patents over time.

The resulting expression, 60⋅1.2^t, gives an estimate of the number of nano-related patents granted in the US for any given year since 1991.

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No,Sarah would have 16 small stones and 14 large stones on the sixth day, since it's +4 small stones and +3 large stones per day. You must show your working if you want the marks. Best of luck!

Answer:

5^-18

Step-by-step explanation:

here is the answer please mark me as the brainliest

Answer: g(4)=-17

Step-by-step explanation:

You just plug in 4 into x.

-3(4)-5
-12-5
=17

Answer:

g(4) = -17

Step-by-step explanation:

Hello!

Substitute 4 for x in the equation.

g(4) is -17.

Answer:

0.77777777777777777777777777777777(the 7 repeats forever)

Step-by-step explanation:

Answer: 0.78

To find the decimal of a fraction, you divide the numerator by the denominator. 7 ÷ 9 is equal to 0.77777... which is equal to 0.78 when rounded.

The equation represents the total cost of turkey and amount is y= 3.25x.

We have,

The turkey costs $3. 25 per pound.

let x be the amount in pounds and y be the total cost in dollar.

Then, the relation between x and y

Total cost = 3.25 (amount in  poind)

y = 3.25 x

Thus, the required equation is y= 3.25x.

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The balance increase for card i is $89.24 greater than the balance increase for card h. Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt)

Given, Card h has a balance of $1,186.44 and an interest rate of 14.74%, compounded annually.

Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt),

where A = final amount, P = principal (initial balance), r = annual interest rate (as a decimal), n = number of times compounded per year, t = time (in years)

For card h,

A = 1186.44(1 + 0.1474/1)^(1*3)

A = 1883.99

For card i, A = 1522.16(1 + 0.1205/12)^(12*3)

A = 1973.23

Therefore, the balance for card i will have increased more than that of card h, and the difference in the increase is: 1973.23 - 1883.99 = 89.24

The balance increase for card i is $89.24 greater than the balance increase for card h. Hence, the required answer is card i.

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The equation for the total earnings of the employee is S = $500 + 8% Number of sales.

The mathematical equation is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a salesperson earns a monthly salary of $500 and an 8% commission on all sales for that month.

The equation will be written as:-

S = $500 + 8%( Number of sale)

Therefore, the equation for the total earnings of the employee is S = $500 + 8% Number of sales.

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Answer:2k

Step-by-step explanation:

-k+3k

-1k+3k

(-1+3)k

2k

Answer:

2k

Step-by-step explanation:

-k is the same as -1k so you can just solve it like that. Also, when adding terms with variables you just add the number in front (if they have the same variable). So -1k + 3k = 2k. Pretty much the same as -1 + 3, you just add a variable..

Compared to solids composed of less electronegative elements, solids composed of more electronegative elements tend to have wider band gaps.

The electronegativity of an element is a measure of its ability to attract electrons towards itself in a chemical bond. In solids, the band gap refers to the energy difference between the valence band and the conduction band. The valence band contains electrons that are tightly bound to the atoms, while the conduction band contains electrons that are free to move and conduct electricity.

When solid materials are formed from more electronegative elements, the difference in electronegativity between the atoms leads to stronger bonds and a larger energy gap between the valence and conduction bands. This larger energy gap makes it more difficult for electrons to transition from the valence band to the conduction band, resulting in a wider band gap.

On the other hand, solids composed of less electronegative elements have smaller energy gaps between the valence and conduction bands, resulting in narrower band gaps. In these materials, electrons can more easily move from the valence band to the conduction band, allowing for better conductivity.

To summarize, solids composed of more electronegative elements tend to have wider band gaps, while solids composed of less electronegative elements tend to have narrower band gaps.

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