how much is in that can? the volume of beverage in a 12-ounces can is normally distributed with mean 12.06 ounces and standard deviation 0.04 ounces. (a) what is the probability that a randomly selected can will contain more than 12.08 ounces? (b) what is the probability that a randomly selected can will contain between 12 and 12.05 ounces? (c) is it unusual for a can to be under filled (contain less than 12 ounces)? round the answers to at least four decimal places. part: 0 / 30 of 3 parts complete part 1 of 3 the probability that a randomly selected can will contain more than 12.08 ounces is

Answer:

1/36.

Step-by-step explanation:

A total number of possible outcomes = 36.

To get a sum of 12 the possible outcomes are just 6,6.

Answer:

5c + 3 = 8

Step-by-step explanation:

variable is c

5 × c + 3

5 c + 3 = 8

A sample size of 76 would be required to estimate the population mean with a margin of error of 4 and a 98% level of confidence.

To determine the sample size required to estimate the population mean with a specific margin of error and level of confidence, we can use the formula:

n = (Z * σ / E)²

where

n = required sample size

Z = Z-score corresponding to the desired level of confidence

σ = standard deviation of the population

E = desired margin of error

here, we have that

the standard deviation (σ) is given as 15,

the margin of error (E) is 4 and

the level of confidence is 98% and For a 98% confidence level, the Z-score is approximately 2.33.

Plugging the values into the formula:

n = (2.33 * 15 / 4)²

n = (8.7375)²

n ≈ 76.34

n = 76

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The maximum annual profit is 1,72,0000

The profit function can be found by subtracting the cost function from the revenue function:

\(P(x) = R(x) - C(x) = (520x - 0.02x^2) - (160x + 100,000) = -0.02x^2 + 360x - 100,000\)

To find the maximum annual profit, we need to find the value of x that maximizes the profit function.

One way to do this is to find the vertex of the parabola given by the profit function.

The x-coordinate of the vertex is given by:

x = -b/2a

where a = -0.02 and b = 360.

Substituting these values, we get:

\(x = -360/(2\times (-0.02)) = 9,000\).

Therefore, the manufacturer should make 9,000 drives to maximize annual profit.

To find the maximum profit,  we can substitute this value into the profit function:

\(P(9,000) = -0.02(9,000)^2 + 360(9,000) - 100,000 = $1,720,000\)

Therefore, the answer is (B) $1,720,000.

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Answer:

Its most likely in Smavile

Step-by-step explanation:

S - Smavile

F - Fancyville

\(p_{s} = 150+ 0.041*2800 \\p_{s} = 150 + 114.8 = 264.8\\\\p_{f} = 250 + 0.198*2800\\p_{f} = 250 + 554.5 = 804.5\)

264.8 * 1000 (its in thousands of dollars) = 264,800

Factors multiply to get a product. You can take this process in reverse.

As another example, the number 12 factors into 3*4, where 3 and 4 are the two factors. This idea applies to both numbers and variable expressions as well.

All the correct values are,

⇒ 0 + 2×8 = 16

⇒ 0 + 6×2 = 12

⇒ 0 + (-1.1) × 5 = - 5.5

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The table is shown in image.

Now,

The complete table is,

Starting position  Direction  Speed  Time  Ending position  Expression

  0                          right           2         8        0 + 2×8                16

  0                          right           6         2        0 + 6×2                12

  0                          left             1.1        5        0 + (-1.1)× 5          - 5.5

Thus, The complete table is,

⇒ 0 + 2×8 = 16

⇒ 0 + 6×2 = 12

⇒ 0 + (-1.1) × 5 = - 5.5

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Answer:

see explanation

Step-by-step explanation:

using the rule of exponents

\(a^{-m}\) = \(\frac{1}{a^{m} }\) , then

\(2^{-5}\)

= \(\frac{1}{2^{5} }\)

= \(\frac{1}{32}\)

Step-by-step explanation:

12*13 = 156

hope it helps

thank you

Nicole has 8 nickels and 7 dimes.

A system of equations is simply two or more equations that share the same variables.

Let's use a system of equations to solve this problem:

Let x be the number of nickels, and y be the number of dimes.

From the problem, we know that:

x + y = 15 (equation 1) (the total number of coins is 15)

0.05x + 0.1y = 1.1 (equation 2) (the total value of the coins is $1.10)

To solve for x and y, we can use substitution or elimination. Let's use elimination:

Multiply equation 1 by 0.1:

0.1x + 0.1y = 1.5 (equation 3)

Subtract equation 3 from equation 2:

0.05x = 0.4

x = 8

Substitute x = 8 into equation 1:

8 + y = 15

y = 7

Therefore, Nicole has 8 nickels and 7 dimes.

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To find the slope of the curve at point P and the equation of the tangent line at P, we need to calculate the derivative of the function at that point.

The slope of a curve at a given point represents the rate of change or the steepness of the curve at that specific location. It is determined by finding the derivative of the function with respect to the variable.

To calculate the slope at point P, we differentiate the function with respect to the variable and substitute the x-coordinate of point P into the derivative. The resulting value gives us the slope at that point.

The equation of the tangent line at point P can be determined using the point-slope form of a linear equation. We use the slope obtained from the derivative and the coordinates of point P to construct the equation. By substituting the slope, the x-coordinate, and the y-coordinate into the point-slope form, we can obtain the equation of the tangent line.

By finding the slope and equation of the tangent line, we gain insights into the behavior of the curve at point P and can make predictions or analyze the behavior of the function in its vicinity.

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Answer:

hope this help you

have a great day

God bless you

The triangle ABC and XZY are proved to be congruent by SAS.

Congruence of triangles: Two triangles are supposed to be harmonious assuming each of the three comparing sides are equivalent and every one of the three relating angle are equivalent in measure. These triangles can be slides, pivoted, flipped and went to be seemed to be indistinguishable.

By the rule of SAS which means, Two sides are equal thhen the angle between the two sides is also equal (SAS: side, angle, side)

BC=YZ

AC=XZ

∠ACB=∠XZY

By SAS ΔABC≅ΔXYZ

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Answer:

The correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].

Step-by-step explanation:

We know that the opposite of the opposite of a number, say 2, is the number itself.

That is:

Opposite of 2 is -2.

Then the opposite of -2 is:

- (-2) = 2

It is provided that:

Assume that both Justine and Meagan started with 0 score.

Justine plays first.

If Justine answered a question incorrectly, his score would be -7.

Then Meagan plays, and answers the question correctly.

So, Meagan got the opposite score.

The opposite of -7 will be [- (-7)].

Thus, the correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].

Answer:

Arithmetic sequence:  \(a_{n}=a_{1}+(n-1)d\)

Geometric sequence: \(a_{n}=a_{1}(r)^{n-1}\)

Step-by-step explanation:

The arithmetic sequence: is the sequence whos terms increased or decreased by a constant amount.

Examples:

The explicit formula for the nth term of the arithmetic sequence is:

The geometric sequence: is the sequence whos consecutive terms have a constant ratio

Examples:

The explicit formula for the nth term of the geometric sequence is:

* Arithmetic sequence          →→→→→→   Geometric sequence

 Has a constant difference    →→→→→→    Has a constant ratio

 \(a_{n}=a_{1}+(n-1)d\)                  →→→→→→    \(a_{n}=a_{1}(r)^{n-1}\)

 \(d=a_{n}-a_{n-1}\)                          →→→→→→    \(r=\frac{a_{n}}{a_{n-1} }\)

Answer:

tig, get, tie, reg ger

Step-by-step explanation:

Therefore, the correct answer is b. 0.0617, as it accurately represents the rate of 6.17% in decimal form, which is necessary for calculating the interest on an investment.

When dealing with percentages in calculations, it is important to convert the percentage to its decimal form. To do this, divide the percentage value by 100.

In this case, the rate is given as 6.17%. To convert it to decimal form, divide 6.17 by 100:

6.17 ÷ 100 = 0.0617

The resulting decimal value, 0.0617, represents the rate of 6.17% in decimal form. This is the number that should be plugged into the equation to calculate the interest on an investment.

The other options provided are:

a. 0.00617: This represents 0.617% rather than the given rate of 6.17%.

c. 0.617: This represents 61.7%, which is not the correct decimal representation of the given rate.

d. 6.17: This is the actual percentage value itself, not its decimal form.

Therefore, the correct answer is b. 0.0617, as it accurately represents the rate of 6.17% in decimal form, which is necessary for calculating the interest on an investment.

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Step-by-step explanation:

The correct graph is Graph C.

The graph of the line x / (-4/3) + y / (-2) = 1 is drawn below. Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The equation is given below.

y = -(3/2)x - 2

Convert the equation into intercept form. Then we have

y = -(3/2)x - 2

2y = -3x - 4

3x + 2y = - 4

x / (-4/3) + y / (-2) = 1

The graph of the line x / (-4/3) + y / (-2) = 1 is drawn below. Then the correct option is C.

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Answer:

The side lengths of triangle ABC are 6, 6.67 and 5.33

Step-by-step explanation:

In this question, we are interested in calculating the lengths of triangle ABC

ED: AC = 3:4

4.5:AC = 3:4

4.5/AC = 3/4

3AC = 4 * 4.5

3AC = 18

AC = 18/3 = 6

EB:AB = 3:4

5/AB = 3/4

3AB = 4 * 5

3AB = 20

AB = 20/3 = 6.67

DB:CB = 3/4

4/CB = 3/4

3CB = 4 * 4

CB = 16/3 = 5.33

Answer:

If you buy a 15 dollar gift card every day for a year, it will cost $5,475.

Just take the price, multiply it by the amount.

Answer:

$5475

Step-by-step explanation:

365 X 15 =

(365 x 10) + (365 x 5) =

3650 + 1825 =

$5475

Answer:\(\frac{3}{-2}\)

Step-by-step explanation:

slope= \(\frac{rise}{run}\)

start at (0,1)

go up 3 units

then go left 2 units

slope= \(\frac{3}{-2}\)

Answer:

$7.99 each

Step-by-step explanation:

Divide the package price by the package units to get your answer.

(23.97 / 3 = 7.99)

Answer: I’m assuming 160.

Step-by-step explanation: If x = 2:

using PEMDAS

(4(2))(5(2^2)) =

(8)(5(4)) =

(8)(20) = 160

20x^3

20(2^3)=

20(8) = 160

hope this helps

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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