The fill volume of cans filled by a certain machine is normally distributed with mean 12.06 oz and standard deviation 0.03 oz.
What proportion of cans contain less than 12 oz?
The process mean can be adjusted through calibration. To what value should the mean be set so that 99% of the cans will contain 12 oz or more? Round the answer to two decimal places.
______ ounces

Solution:

= 51x³y⁴ ÷ - 17x²y²

= -3xy²

= -108a³b³c ÷ 18abc

= -6a²b²

= -84mnp³ by -7mnp³

= 12

= 36p²q²r ÷ -4p²r

= -9q²

= -700x³y² ÷ 25xy

= -28 x²y

= 306a²p³z⁴ ÷ -3a²p²z²

= -102 pz²

a)  The 95% confidence interval for µd is [2.32, 6.88].

b) There is strong evidence that µd differs from 0.

(a) To calculate a 95% confidence interval for µd, we use the formula:

Confidence interval = [d¯ - t*sd/√n , d¯ + t*sd/√n]

Where d¯ is the sample mean, t is the t-value corresponding to the desired level of confidence and degrees of freedom (df = n-1), sd is the sample standard deviation, and n is the sample size.

For a 95% confidence interval with 49-1=48 degrees of freedom, the t-value is 2.01 (from a t-table).

Plugging in the given values, we get:

Confidence interval = [4.6 - 2.01*7.6/√49 , 4.6 + 2.01*7.6/√49]

Confidence interval = [2.32 , 6.88]


Since the entire interval is greater than 0, we can be 95% confident that the difference between µ1 and µ2 is greater than 0.

(b) To test the null hypothesis H0: µd = 0 versus the alternative hypothesis Ha: µd ≠ 0, we use a t-test.

The test statistic is:

t = (d¯ - µd)/(sd/√n)

Where d¯ is the sample mean, µd is the hypothesized mean difference, sd is the sample standard deviation, and n is the sample size.

Plugging in the given values, we get:

t = (4.6 - 0)/(7.6/√49)

t = 4.24

We then compare this t-value to the critical t-values for the different levels of significance (α = .10, .05, .01, and .001) and 48 degrees of freedom (from a t-table).

The critical t-values are:

t(.10) = 1.68

t(.05) = 2.01

t(.01) = 2.68

t(.001) = 3.50

Since our calculated t-value (4.24) is greater than all of the critical t-values, we reject the null hypothesis at all levels of significance.

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A psychological test with a reliability of zero means that the results obtained from the test cannot be trusted or relied upon.

Reliability refers to the consistency or stability of a test over time. If a test has a reliability of zero, it means that the results obtained from the test are completely random and do not provide any meaningful information. This could be due to a variety of factors, such as poor test design, inconsistent scoring methods, or unreliable measures of the construct being assessed.

It is important for psychological tests to have high reliability in order to ensure that they are accurately measuring what they are intended to measure. Without reliability, the results obtained from the test cannot be trusted and may even be misleading. For example, if a test is designed to measure anxiety levels, but has a reliability of zero, it is impossible to know whether the results obtained from the test reflect actual anxiety levels or are simply random. To improve the reliability of a test, it is important to carefully design the test and scoring methods, ensure that the measures used are consistent and reliable, and conduct multiple test administrations to assess consistency over time. By improving reliability, researchers and clinicians can be more confident in the results obtained from the test and use them to make more informed decisions about diagnosis and treatment.

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Answer:

$130.00

Step-by-step explanation:

674-284=390

390/3=130

what that person said :(

Step-by-step explanation:

Scale factor =5/2

length=5/2×18= 45

width=5/2×12= 30

perimeter = 2(L+W)

=(45×2+30×2)

90 +60

=150 inches

In the illustration given above, the length and the diameter of the shaft would be = 21.8 in and 7/8 in respectively.

The total length of the shaft can be calculated through the addition of the various given lengths along the shaft such as follows:

= 5⅛ + 5 + 7⅝ + 4 1/16

First convert all the mixed fraction into single fraction;

= 41/8 + 5/1 + 61/8 + 65/16

= 82+80+122+65/16

= 349/16

= 21.8 in.

The diameter of the shaft can be calculated as follows;

= 7¼ - (3 3/16 + 3 3/16 )

First convert all the mixed fraction into single fraction;

= 29/4 - (51/16 + 51/16)

= 29/4 - 102/16

= 116-102/16

= 14/16

= 7/8 in.

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CHECK THE COMPLETE QUESTION BELOW;

Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders d drinks and a medium pizza with t toppings, her total cost can be found using this expression: 0.90(2.25d + 1.40t + 6). What is the total cost for Lindy and her friends to order 4 drinks and a medium pizza with 3 toppings? A. $17.28 B. $16.52 C. $15.69 D. $28.40

Answer:

OPTION A. is correct

A)$17.28

Step-by-step explanation:

From the question we were giventhis expression as the total cost for all.

0.90(2.25d + 1.40t + 6).

We know that Lindy and her friends to order 4 drinks and a medium pizza with 3 topping

Then we can say d= 4 and t= 3 ,

Then we can substitute into below expresion

0.90(2.25d + 1.40t + 6).

0.90[2.25(4)+1.40(3)+6]

= 0.90[9+4.2+6]

= 17.8

Hence the total cost for Lindy = $ 17.28

Answer:

39.36

Step-by-step explanation:

We multiply 9.84 by 4 which gives us the answer above

Answer:

x=10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

3+17=20

20/2=10

x=10

For samples of size 100, the mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone can be interpreted as follows: The correct option is (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

The population proportion of those who make a donation when contacted by phone is known to be p=0.05 and A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity.

This statement means that the sample proportion of those who make a donation is 0.07.The mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone is equal to the population proportion, i.e. 0.05.

Therefore, we can interpret that the mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

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Answer:

aaalot I'm guessing I'm stu.pid

The regression equation for predicting the height of girls at age 18 based on their height at age 2 is:

y ≈ 68.953 + 1.210x

The correlation coefficient illustrates how closely two variables are related to one another. This coefficient's range is from -1 to +1. This coefficient demonstrates the degree to which the observed data for two variables are significantly associated.

Based on the given information, we can use the linear regression model to predict the height of girls at age 18 based on their height at age 2. Here are the summary statistics:

n = 70 (sample size)

x = 87.25 (mean height at age 2 in cm)

y = 166.54 (mean height at age 18 in cm)

R = 0.664 (correlation coefficient)

S = 3.33 (standard deviation of height at age 2 in cm)

\(S_y\) = 6.07 (standard deviation of height at age 18 in cm)

To predict the height of girls at age 18 (y) based on their height at age 2 (x), we can use the regression equation:

y = a + bx

where a is the y-intercept (predicted height at age 18 when x = 0) and b is the slope of the regression line.

From the given information, we have the following values:

x = 87.25

y = 166.54

R = 0.664

Using these values, we can calculate the slope (b) of the regression line:

b = R * (\(S_y\) / S)

 = 0.664 * (6.07 / 3.33)

 ≈ 1.210

Next, we can calculate the y-intercept (a) using the formula:

a = y - b * x

 = 166.54 - 1.210 * 87.25

 ≈ 68.953

Therefore, the regression equation for predicting the height of girls at age 18 based on their height at age 2 is:

y ≈ 68.953 + 1.210x

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Answer:

Green parachute

Explanation:

Orange parachute

• Distance = 12 feet

• Time = 5 seconds

Rate of descent = 12/5 =2.4 feet/seconds

Green parachute

• Distance = 14 feet

• Time = 7 seconds

Rate of descent = 14/7 =2 feet/seconds

Since 2 is less than 2.4, the green parachute has a slower descent.

Answer:

65 degrees Fahrenheit

Step-by-step explanation:

47 - (-18) = 65

Answer: I believe it is 65

The missing values from the table to define a linear function are given as follows:

b)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope m of a linear function is the rate of change, and it means that when x is increased by one, y is increased by a fixed amount, which is the slope.

For this problem, when x increases by one, y increases by one, hence the values are given as follows:

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area: 36 units²

\(\hookrightarrow \sf 9 \ * \ 4\)

\(\hookrightarrow \sf 36 \ units^2\)

Area:-

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

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Answer:

-5/6

Step-by-step explanation:

The reason why the reciprocal is -5/6 is because to isolate the variable with a fraction attached is to multiply it by swapping the numerator and denominator. Also making sure that if the number is a negative, to multiply the number by another negative to cancel it out.

Step-by-step explanation:

lawn care ? is obviously only here to confuse us. has no impact and can be ignored.

similar teem life insurance, which is fully paid by the company, and has no impact on any paycheck deductions.

so, we only need to focus on

medical costs $3690 per year.

dental costs $194 per year.

travel insurance costs $92 per year.

the company pays 80% of medical, which means we have to pay for 20%.

$3690 = 100%

20% = 100%/5 = 3690/5 = $738

so, we get $738 deducted from our paycheck per year. per month we need to split this into 12 parts :

738 / 12 = $61.50 per month

the company pays 70% of dental, which means we have to pay for 30%.

$194 = 100%

30% = 100%×3/10 = 194×3/10 = 582/10 = $58.20 per year.

per month we need to split this into 12 parts again :

58.2/12 = $4.85 per month

the company pays 85% of travel insurance, which means we have to pay for 15%.

$92 = 100%

15% = 100%×15/100 = 92×15/100 = 1380/100 = $13.80 per year.

per month we need to split this into 12 parts again :

13.8/12 = $1.15 per month

so, each month

$61.50

$ 4.85

$ 1.15

-----------

$67.50 are deducted from the paycheck for these coverages

Taking into account the definition of complementary event, the correct answer is option A: the probability of the complementary event is 81.2%.

A complementary event is made up of the inverse of the results of another event. That is, That is, given an event A, a complementary event is verified as long as the event A is not verified.

Mathematically, the probability of occurrence of the complementary event A' will be 1 minus the probability of occurrence of A:

P(A´)= 1- P(A)

In this case, you know P(A)= 18.8%=0.188

Replacing in the definition of complementary event:

P(A´)= 1- 0.188

Solving:

P(A´)= 0.812= 81.2%

Finally, the probability of the complementary event is 81.2%.

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Using inequalities, we can find the inequality here as follows:

90 > x > 70

and

70 > y ≥ 0

A mathematical equation with an inequality must not have equal sides on both sides. Instead of utilising equations, we compare two values in an inequality. The symbols less than (or less than or equal to), greater than (or greater than or equal to), and not equal to are used in place of the equal sign.

Here in the question,

The number of students who studied for the test be x.

The number of students who did not studied for the test be y.

Now the students who studied got a score lower than 90.

The students who did not studied for the test got a score lower than 70.

So, the inequalities will be:

90 > x > 70

and

70 > y ≥ 0. (As a student can get 0 in the test as a lowest score.)

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A) The correct inequality for represent her statement is,

⇒ c > p

B) For circle weighs 12 ounces, inequality is,

⇒ 12 > p

We have to given that;

Jada says that the weight of one circle is greater than the weight of one pentagon.

Let p be the weight of one pentagon and c be the weight of one circle.

Hence, We get;

The correct inequality for represent her statement is,

⇒ c > p

Now, For circle weighs 12 ounces,

Hence, The inequality is,

⇒ 12 > p

Thus, The correct inequality for represent her statement is,

⇒ c > p

B) For circle weighs 12 ounces, inequality is,

⇒ 12 > p

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Answer:

Hello,

Step-by-step explanation:

a)

\(y=a^x*b+c\\\\if\ x- > -\infty,\ y- > -1 \ \Longrightarrow\ c=-1\\if\ x=0\ y=1\ \Longrightarrow\ 1=b-1\ \Longrightarrow\ b=2\\if\ x=1\ y=5 \ \Longrightarrow\ a*2-1=5\ \Longrightarrow\ a=3\\\\\boxed{y=2*3^x-1}\\\)

b)

\(f(x,y)=(x-a)(y-b)-k=0\ since\ hyperbola\ "\' equilat\`ere\ in\ French"\\\\\dfrac{\partial{f}}{\partial{x}} =y-b=0\ \Longrightarrow\ y=b\\\\\dfrac{\partial{f}}{\partial{y}} =x-b=0\ \Longrightarrow\ x=a\\\\Here\ center\ is\ (0,2)\ so (x-0)(y-2)=k\\\\(-3,3)\ is \ a\ point\ of \ the\ hyperbola:\\-3*(3-2)=k\ \Longrightarrow\ k=-3\\\\\boxed{x(y-2)=-3}\\\)

c)

It is parabola

y=k*(x-3)(x+3)

(1,24) is a point of the parabola:

24=k*(1²-9) => k=-3

\(\boxed{y=-3(x^2-9)}\\\)

Step-by-step explanation:

the slope = (8-5)/(-6+2) = 3/-4 = -¾

How frequently and how long is the system in use function

A system's reliability can be used to gauge how well it is operating and performing. It considers both the system's software and hardware components. This includes how long the system can function without experiencing any issues, how frequently it bounces back from a crash or failure, and how rapidly it reacts to information or service demands. The frequency and length of any system outages, as well as how quickly and dependably the system recovers from failure, must all be determined in order to assess a system's reliability. The user experience should also be taken into account because people may assess the reliability of a system based on how fast and effectively it answers to their requests. In order to determine a system's reliability with precision,

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The complete question is

reliability is measured as the amount of time the system is running and functioning properly. this includes the system’s hardware and software. What is the correct question for the statement above. How frequently and how long is the system in use function ?

Answer:

its three

Step-by-step explanation:

got it right on khan

The given expression 4 * d^(-5) / (18 * d^9) can be simplified to 4 / (18 * d^14) by moving the negative exponent to the denominator.

To simplify the given expression, let's break it down step by step:

Expression: 4 * d^(-5) / (18 * d^9)

Step 1: Simplify the numerator:

The expression 4 * d^(-5) can be rewritten as 4 / d^5 by moving the negative exponent to the denominator.

Expression becomes: 4 / (d^5 * 18 * d^9)

Step 2: Simplify the denominator:

In the denominator, we can combine the terms with the same base, d, by adding their exponents: d^5 * d^9 = d^(5+9) = d^14.

Expression becomes: 4 / (18 * d^14)

Step 3: Divide the numerator by the denominator:

To divide by a fraction, we can multiply by its reciprocal. The reciprocal of (18 * d^14) is 1 / (18 * d^14).

Expression becomes: 4 * (1 / (18 * d^14))

Step 4: Simplify the expression:

Multiplying 4 by 1 gives us 4.

Final Expression: 4 / (18 * d^14)

Therefore, the equivalent expression for 4 * d^(-5) / (18 * d^9) is 4 / (18 * d^14).

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Answer:

the equivalent expression for 4 * d^(-5) / (18 * d^9) is 4 / (18 * d^14).

Step-by-step explanation:

Answer:

Step-by-step explanation:

they cannot win with the conditions given

probability of tieing is \(.99^{2}\) (the chance they make both kicks) which is .9801 which is 98.01%

the probability of losing is 1- {probability of winning} so 1- .9801 and therefore it is 0.0199 or 1.99%

Answer:

there are 5

Step-by-step explanation:

"im different"

The sample space of the statement is 2.

"A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment. If it contains a finite number of outcomes, then it is known as discrete or finite sample spaces."

"The samples spaces for a random experiment is written within curly braces “ { } “. There is a difference between the sample space and the events."

The given statement is "Answering a false question"

Sample space of the following is S = {True, False}

Hence B is the correct option.

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Answer:

66 units

Step-by-step explanation: