... The following are the final examination scores of 40 students in a Mathematics class: N N MI 2 31 33 37 37 42 43 44 5 12 NI 46 58 59 62 66 66 67 67 69 ...

5/8 teaspoon yeast is to be added

The statement that is a tautology is OPV (- PV Q).

A tautology is a logical statement that is true for every possible input value, and it is often used in mathematics and logic.

Let's look at each of the given statements and see which one is a tautology:

O - PV (- PV Q):

This statement is not a tautology because it is only true when P and Q are both false.

O - Pv (PV Q):

This statement is not a tautology because it is only true when P and Q are both true.

O PV (-PV Q):

This statement is a tautology because it is true for all possible input values of P and Q.

OPV (PV - Q):

This statement is not a tautology because it is only true when P is true and Q is false.

Therefore, the statement that is a tautology is O PV (-PV Q).

To learn more about tautology from the given link.

https://brainly.com/question/30460705

#SPJ11

Answer:

infinity or any number

Step-by-step explanation:

we need to distribute first because we cannot combine the things inside of the parentheses

-10 - 12x < 48 -12x

now we need to combine like numbers!

0 (this is -12x + 12x) < 58 (this is 48 + 10)

oh no! x is not given to us in this equation! don't worry though, because this means that x can be any single number. why?

x could be any number and this equation will be true!

The diameter of the smaller circle is 11 inches, so its radius is 5.5 inches.  The shaded area is 357.18 square inches.

To find the shaded area, we need to subtract the area of the smaller circle from the area of the larger circle.

The diameter of the larger circle is 24 inches, so its radius is 12 inches. Therefore, its area is:

A = πr^2 = 3.14 × 12^2 = 452.16 square inches

The diameter of the smaller circle is 11 inches, so its radius is 5.5 inches. Therefore, its area is:

A = πr^2 = 3.14 × 5.5^2 = 94.985 square inches

To find the shaded area, we subtract the area of the smaller circle from the area of the larger circle:

Shaded area = 452.16 - 94.985 = 357.175 square inches

Rounding to the nearest hundredth, the shaded area is 357.18 square inches.

Learn more about diameter here

https://brainly.com/question/28162977

#SPJ11

Answer:

x=3y−1x=3y-1

x+2y=9x+2y=9

Replace all occurrences of xx with 3y−13y-1 in each equation.

Tap for fewer steps...

Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.

(3y−1)+2y=9(3y-1)+2y=9

x=3y−1x=3y-1

Add 3y3y and 2y2y.

5y−1=95y-1=9

x=3y−1x=3y-1

Solve for yy in the first equation.

Tap for fewer steps...

Move all terms not containing yy to the right side of the equation.

Tap for fewer steps...

Add 11 to both sides of the equation.

5y=9+15y=9+1

x=3y−1x=3y-1

Add 99 and 11.

5y=105y=10

x=3y−1x=3y-1

Divide each term by 55 and simplify.

Tap for fewer steps...

Divide each term in 5y=105y=10 by 55.

5y5=1055y5=105

x=3y−1x=3y-1

Cancel the common factor of 55.

Tap for fewer steps...

Cancel the common factor.

5y5=1055y5=105

x=3y−1x=3y-1

Divide yy by 11.

x=5,y=2

Step-by-step explanation:

please mark me as brainliest thank you

Answer:

(6, 8)

Step-by-step explanation:

The rectangle ABCD has vertices at A(0,0), B(0,4), C(3,4) and D(3,0). The length of the sides is calculated using the distance formula:

\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Therefore:

\(|AB|=\sqrt{(0-0)^2+(4-0)^2}=4 \\\\|BC|=\sqrt{(3-0)^2+(4-4)^2}=3\\\\|CD|=\sqrt{(3-3)^2+(0-4)^2}=4\\\\|AD|=\sqrt{(3-0)^2+(0-0)^2}=3\)

If the length of each side is doubled and point A stays the same. Let us assume that the new point of C is C'(x, y). Therefore C would be the midpoint of segment |AC'|:

\(3=\frac{0+x}{2}\\\\x=6\\\\4=\frac{0+y}{2}\\\\y=8\)

Therefore C'=(6,8)

The new coordinate of point C would be (6, 8)

Answer: 4/5

Step-by-step explanation: It is 8/10, but if you simplify it, it is 4/5.

The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.

What means binomial distribution?

When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.

For each random variable X, the binomial distribution formula is given by;

P(x:n,p) = nCx px (q)n-x

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of Success in a single experiment

q = Probability of Failure in a single experiment = 1 – p

formula for finding standard deviation of a binomial distribution is npq. f.

To learn more about binomial distribution visit:

https://brainly.com/question/14565246

#SPJ4

Answer:

option 2 : y-7 = 2(x-1)

Step-by-step explanation:

the fastest way is to simply put the x- and y-values of both points into the equations, and see, which one is true for both points.

the first option is only true for the second point

7-7 = 4(1-1)

0 = 4×0 = 0

but for the first point

3-7 = 4(-1 - 1)

-4 = 4×-2 = -8

-4 = -8 is false

the second option then is true for both points

7-7 = 2(1-1)

0 = 0

3-7 = 2(-1 - 1)

-4 = 2×-2 = -4

answer:

sorry i don't know the answer but are you an army ?

The mean is 2.48, the variance is 1.5844, and the standard deviation is 1.26.

To calculate the mean, variance, and standard deviation, we need to first construct a probability distribution table:

where f(x) is the frequency of weeks with x radios sold divided by the total number of weeks (100).

Using this table, we can calculate the mean as:

μx = ∑(x * f(x)) = (00.05) + (10.17) + (20.17) + (30.49) + (40.09) + (50.03) = 2.48

To calculate the variance, we use the formula:

σx2 = ∑((x - μx)2 * f(x)) = (0-2.48)2 * 0.05 + (1-2.48)2 * 0.17 + (2-2.48)2 * 0.17 + (3-2.48)2 * 0.49 + (4-2.48)2 * 0.09 + (5-2.48)2 * 0.03 = 1.5844

Finally, we can calculate the standard deviation as:

σx = √σx2 = √1.5844 = 1.26

Therefore, the mean is 2.48, the variance is 1.5844, and the standard deviation is 1.26.

To learn more about construct visit:

https://brainly.com/question/2223478

#SPJ11

Answer:

multiply

Step-by-step explanation:

2345567 in the subtract 578431111

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

|

|

|

|

| x

|

|

|

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

|

|

|

|

|

|

|

|

|

B

|

|

|

|

|

|

|

|

|

|

|

A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ1

The amount of data compression an algorithm can produce is reliant upon:

Opiton B) Several patterns in the data.

Data compression is the process of reducing the size of a file by encoding its data information more efficiently. The more patterns in the data, the more efficiently it can be compressed.

An algorithm is a set of instructions that are used to complete a task, such as compressing data. If there are several patterns in the data, the algorithm can use these patterns to create a smaller, more efficient representation of the file, resulting in greater data compression.  This means that if there are repeating parts of the file being compressed, the algorithm can make use of that to reduce the size of the file.

However, the size of the file (whether it's large or small) does not necessarily affect the amount of data compression.

Therefore, the amount of data compression an algorithm can produce is reliant upon the presence of several patterns in the data.

More information about the data compression algorithm here:

https://brainly.com/question/30508196

#SPJ11

we have

1,123 miles

rewrite

1,123=1,123(1,000/1,000)=1.123(1,000)=1.123 x 10^3 miles

Remember that

1,000/1,000=1

therefore

1,123 miles=1.123 x 10^3 miles

These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

Learn more about chromatography here:

https://brainly.com/question/31309579

#SPJ11

The Area of given figure is 341.6 square.

According to the statement

we have to find the total area of given figure.

Here a= 10 and h= 11

So, we use the formula is A = a(a + √((a)^2 + 4(h)^2))

where the a represent the base of given solid or sides of the equilateral triangle

And h represent the slant height of the solid.

So, Substitute the values in above formula then

A = 10(10 + √((10)^2 + 4(11)^2))

A = 10(10 + √((100 + 4(121))

A = 10(10 + √(100 + 484)

A = 10(10 + √(584)

A = 10(10 + 24.16)

A = 10(34.16)

A= 341.6

So, The Area of given figure is 341.6 square.

Learn more about AREA here https://brainly.com/question/10090807

#SPJ1

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

For more questions on: compound interest

https://brainly.com/question/31474686

#SPJ8

We can say that it's an arithmetic sequence since it has a common rate of change or common difference of 4.

Arithmetic sequences are represented by the following formula:

Recursive formula:

an= nth term

a1= 1st term

n= number of terms

d= common difference

Answer:

true

Step-by-step explanation:

I mean it sound true

Answer:

true

it sounds true to me

The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.

a) On average, what value is expected for the F-ratio if the null hypothesis is true?

The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.

b) On average, what value is expected for the F-ratio if the null hypothesis is false?

The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.

To learn more about F-ratio,

https://brainly.com/question/27310923

#SPJ4

Answer:

  b)  2.45

Step-by-step explanation:

The Euclidean distance in 3-space is the root of the sum of the squares of the x-, y-, and z-differences between the points.

For the given points ...

  \(x(3,2,5)=(x_1,y_1,z_1)\quad\textsf{and}\quad y(2,3,3)=(x_2,y_2,z_2)\)

The distance between x and y is ...

  \(d=\sqrt{(x_2-x_1)^2+(y_2=y_1)^2+(z_2-z_1)^2}\\\\d=\sqrt{(2-3)^2+(3-2)^2+(3-5)^2}=\sqrt{1+1+4}\\\\d=\sqrt{6}\approx2.45\)

Answer:

C

Step-by-step explanation:

This method is the best because it will survey the customers under one condition : every 10. If the store gets a lot of customers, then this should be easier to do. The rest are mostly dependent on what they do and that influences the survey. However, C makes it so that every 10 people are surveyed.

Answer:

A isnt the correct answer. B doesnt seem reasonable because its one specific item. D means they arent exactly a customer since they didnt buy anything therefore the answer would be C

C is your answer.

not sure about it tho but its what i would put

The area of the region enclosed by the curve r = 9cos(3θ) is (27/2)π.

What is integration?

In mathematics, and notably in calculus, integration is a fundamental notion. It is a mathematical process that seeks to determine a function's integral. The accumulation or total of all infinitesimally small changes in a quantity is represented by the integral.

To find the area of the region enclosed by the curve r = 9cos(3θ), we can set up a double integral in polar coordinates.

In polar coordinates, the area element is given by dA = r dr dθ. To determine the limits of integration, we need to find the values of θ where the curve intersects itself and encloses a region.

The polar curve r = 9cos(3θ) completes one loop for every 2π/3 radians, so we can integrate over the range 0 ≤ θ ≤ 2π/3. The corresponding limits for r can be determined by setting r = 0 and solving for θ.

At r = 0, we have:

0 = 9cos(3θ)

cos(3θ) = 0

The equation cos(3θ) = 0 has solutions at θ = π/6, π/2, 5π/6. These values divide the interval [0, 2π/3] into three subintervals.

Now we can set up the double integral:

Area = ∬R dA

Using polar coordinates, we have:

dA = r dr dθ

The limits of integration are:

0 ≤ r ≤ 9cos(3θ)

0 ≤ θ ≤ 2π/3

Thus, the double integral becomes:

Area = ∫[0 to 2π/3] ∫[0 to 9cos(3θ)] r dr dθ

Now we can evaluate this double integral:

Area = ∫[0 to 2π/3] (1/2)r² ∣[0 to 9cos(3θ)] dθ

Area = (1/2) ∫[0 to 2π/3] (81cos²(3θ)) dθ

Using the trigonometric identity cos²(3θ) = (1 + cos(6θ))/2, we can simplify further:

Area = (1/2) ∫[0 to 2π/3] (81/2)(1 + cos(6θ)) dθ

Area = (81/4) ∫[0 to 2π/3] (1 + cos(6θ)) dθ

Now we can integrate term by term:

Area = (81/4) [(θ + (1/6)sin(6θ)) ∣[0 to 2π/3]]

Area = (81/4) [(2π/3 + (1/6)sin(4π) - (1/6)sin(0))]

Simplifying further:

Area = (81/4) [(2π/3 + 0 - 0)]

Area = (81/4) (2π/3)

Area = (27/2)π

Therefore, the area of the region enclosed by the curve r = 9cos(3θ) is (27/2)π.

To know more about integration follow the given link:

https://brainly.com/question/30094386

#SPJ4

Answer:

Sorry but this is not mathematics, if you put it in computer and technology, your question may be answered

Sorry but I can't help.

Answer:

option 1 is the correct answer

Step-by-step explanation:

since 12 is less than 20. then we will deduct -1 from y; which is 0

Answer:

he. haha. shyw sjIana d auhaabab ssbajiaan s

======================================================

Explanation:

Let's find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (7-(-3))/(-4-1)

m = (7+3)/(-4-1)

m = 10/(-5)

m = -2

The slope of line AB is -2

The slope of any line parallel to line AB will also have the same slope.

Parallel lines have equal slopes, but different y intercepts.

Answer:

$78

Step-by-step explanation:

Each 15% is $9. If you do 9 times 2 you get $18. $60 + $18 = $78.

Answer: No Solution

Step-by-step explanation:

Given expression

3 (-2 - 3x) = -9x - 4

Expand parentheses and apply the distributive property

-6 - 9x = -9x - 4

Add 9x on both sides

-6 - 9x + 9x = -9x - 4 + 9x

-6 ≠ 4

\(\boxed{No Solution\\}\)

Hope this helps!! :)

Please let me know if you have any questions