If 5 people are going to share
11.8 ounces of cheese, how
much will each person get?

Explanation:

90° is 90/360 = 1/4 of a full 360° rotation. Meaning that if the central angle of the pizza slice is 90°, then we have four equal slices.

One slice is 7 square inches, so all four slices combine to 7*4 = 28 square inches

Wayne's actual act score is 18

A z-score tells you where the score lies on a normal distribution curve.

A standard deviation is a measure of how dispersed the data is in relation to the mean.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Given,

The mean = 21

Standard deviation =5

z-score = -0.6

We know z-score = (x-mean)/ Standard deviation

Substitute the values

-0.6 = \(\frac{x-21}{5}\)

x-21 = -0.6 ×5

x-21 = -3

x=-3+21

x=18

Hence, the Wayne's actual act score is 18

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a.

5 minutes

b.

30 litres per minute

Example of an undecidable problem is given by the problems in the system created by computer viruses.

According to the computability theory, the problems that needs either yes or no answer, but it is not possible by any computer programming languages to create exact answer then this computational problem is termed as undecidable problems.

A decidable problem is a decision problem in the computer system that can be solved by an algorithm correctly.

whenever we find a problem for which there is no algorithm available for solve and we are also unable to create any program that can solve the problem exactly in finite time are declared as undecidable problems.

If we find a problem that ask yes or no question about some input and there is programming language available for responding correctly then this particular problem is declared as decidable.

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The term that refers to the fact that the distance between two or more points is equal is "equidistant".

In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.

Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.

The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.

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The probability of less than two students going to college if six students are randomly selected from a school of 125 graduating seniors, and all the parents make over $75,000 per year is 0.0014 or 0.14%.

Given, Probability of a high school student going to college, when the parents make over $75,000 per year is 0.60.The total number of graduating seniors is 125.And, six students are randomly selected.

Let X be the number of students who go to college.If we assume that each student is independent of each other, then the probability that a student goes to college is 0.60, and the probability that a student does not go to college is 1 - 0.60 = 0.40.

Then the probability mass function of X is given by,\(P(X = k) = nCk * pk * (1 - p)n - kwhere n = 6, k = 0,1.P(X < 2) = P(X = 0) + P(X = 1) = (6C0 * 0.6^0 * 0.4^6) + (6C1 * 0.6^1 * 0.4^5) = (1 * 1 * 0.01024) + (6 * 0.6 * 0.32768) = 0.0014\)or 0.14%.Therefore, the probability that less than two students will actually go to college is 0.0014 or 0.14%.

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Suppose we want to compute x≡ab(mod pq) for primes p and q, utilizing the Chinese Remainder Theorem and Fermat's Little Theorem. True statements are:

According to the Chinese remainder theorem, if one knows the remainders of the Euclidean division of an integer n by multiple numbers, one may uniquely calculate the remainder of the division of n by the product of these integers, provided that the divisors are pairwise coprime (no two divisors share a common factor other than 1).

Fermat's little theorem is identical to the assertion that ap 1 1 is an integer multiple of p if an is not divisible by p, that is, if an is coprime to p. If a = 2 and p = 7, for example, 26 = 64, then 64 1 = 63 = 7 9 is therefore a multiple of 7.

x≡ab(mod pq)

Thus, (x1 - x2) divided by m1

Since, m1, m2,........mk are relatively prime

This follows system of congruence in CRT at most one solution.

Fermat's Little Theorem allows us to conclude that a^p−1 ≡1(modp) for any integer a and any prime p,

assume 0≤a≤p-1. This is result of modular arithmetic. So, results hols trivially.

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Answer:

A and D

Step-by-step explanation:

4×3=12

4×d=4d

12+4d

Then;(4×d)+(3×4)=4d +12

Same expression

Answer:

Sedan =18

minivan=19

truck=16

Step-by-step explanation:

By using the vertex of the quadratic equation, we will get the equation:

y = -2*(x + 6)^2

For a quadratic equation with a leading coefficient "A" and a vertex (h, k), the equation can be written as:

y = A*(x - h)^2 + k

Here we can see that the vertex is (-6, 0), so we have:

y = A*(x + 6)^2

We also can see that the parabola passes through the point (-4, -8), replacing these values above we will get:

-8 = A*(-4 + 6)^2

-8 = A*(2)^2

-8 = 4A

-8/4 = A

-2 = A

Then the quadratic equation is:

y = -2*(x + 6)^2

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Answer:

the answer is ç (3x+4)(x+7)

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

push-up = 1 second

sit-up = 3 seconds

Step-by-step explanation:

let p represent the # of push-ups

let s represent the # of sit-ups

System of equations:

19p+8s=43

12p+12s=48

i'll eliminate s by multiplying the top equation by 3 and the bottom equation by -2

57p+24s=129

-24p-24s=-96

33p=33

p=1 second

now solve for s (i'll plug p into the 2nd equation)

12(1) + 12s=48

12s=36

s=3 seconds

Answer: 255

Step-by-step explanation:

The point estimate for a 90% confidence interval for the difference of the proportions of heavy drinkers between men and women is 0.8922.

Point estimation is a technique used in statistics to choose a single value that will serve as the "best guess" or "best estimate" of an unidentified population characteristic. More precisely, it is the process of applying a point estimator to the data in order to get a point estimate. A form of statistical inference known as "point estimate" is making an educated prediction or approximation about an unknown parameter.

Here,

Out of 100, the success is 90,

point estimate=90/100

The difference in the percentage of heavy drinkers between men and women is estimated as 0.8922 with a 90% confidence range.

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Answer: Less than (<), greater than (>), and not (not equal to) are examples of comparison operators.

Step-by-step explanation: They show a comparison between the two operands.

Torr and mmHg are two units of pressure that are often used interchangeably. In fact, 1 mmHg is equal to 1 torr, which means that they are equivalent units of measurement.

To convert torr to mmHg, you can simply multiply the pressure value in torr by 1, since 1 torr is equivalent to 1 mmHg. For example, if you have a pressure of 760 torr, you can convert it to mmHg as follows:

760 torr x 1 mmHg/torr = 760 mmHg

Therefore, 760 torr is equivalent to 760 mmHg. Alternatively, you can also convert mmHg to torr by dividing the pressure value in mmHg by 1. For example, if you have a pressure of 760 mmHg, you can convert it to torr as follows:

760 mmHg ÷ 1 mmHg/torr = 760 torr

Therefore, 760 mmHg is equivalent to 760 torr.

Torr and mmHg are two units of pressure that are often used interchangeably. In fact, 1 mmHg is equal to 1 torr, which means that they are equivalent units of measurement.

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The measure of angle c is 70 degrees.

If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.

Given:

Measure of angle a = 10x + 10

Measure of angle b = 20

We can set up the equation:

(10x + 10) + 20 = 90

Simplifying the equation:

10x + 30 = 90

Subtracting 30 from both sides:

10x = 60

Dividing both sides by 10:

x = 6

Now, we have found the value of x to be 6.

To find the measure of angle c, we can substitute the value of x into the equation for angle a:

Measure of angle a = 10x + 10

Measure of angle a = 10(6) + 10

Measure of angle a = 60 + 10

Measure of angle a = 70

As a result, angle c has a measure of 70 degrees.

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Answer:

No.

Step-by-step explanation:

If I multiplied 2 by 9 to get 18, I would have to do the same to the 1. This would make the ratio 9:18, not 13:18.

Therefore, these two ratios are not equivalent.

Answer:

123456789101112131415161718192021222324252627282930

Answer:

To convert 2 Bigha into Kattha:

If 1 Bigha = 20 Kattha:

2 Bigha = 2 * 20 Kattha = 40 Kattha

If 1 Bigha = 16 Kattha:

2 Bigha = 2 * 16 Kattha = 32 Kattha

The data set is the most clustered around its mean is

A.4, 10, 8, 6

To determine which data set is the most clustered around its mean, we can calculate the mean and the standard deviation for each data set.

calculate the mean and standard deviation for each data set

Data Set A: 4, 10, 8, 6

Mean: (4 + 10 + 8 + 6) / 4 = 28 / 4 = 7

Standard Deviation: √[(4-7)^2 + (10-7)^2 + (8-7)^2 + (6-7)^2] / 4 ≈ 1.58

Data Set B: 11, 3, 10, 4

Mean: (11 + 3 + 10 + 4) / 4 = 28 / 4 = 7

Standard Deviation: √[(11-7)^2 + (3-7)^2 + (10-7)^2 + (4-7)^2] / 4 ≈ 3.87

Data Set C: 2, 9, 13, 4

Mean: (2 + 9 + 13 + 4) / 4 = 28 / 4 = 7

Standard Deviation: √[(2-7)^2 + (9-7)^2 + (13-7)^2 + (4-7)^2] / 4 ≈ 4.27

Data Set D: 11, 2, 9, 6

Mean: (11 + 2 + 9 + 6) / 4 = 28 / 4 = 7

Standard Deviation: √[(11-7)^2 + (2-7)^2 + (9-7)^2 + (6-7)^2] / 4 ≈ 3.27

Comparing the standard deviations, we find that data set A has the smallest standard deviation of approximately 1.58. this indicates that the data points in Data Set A are the closest to the mean, making it the most clustered around its mean.

Therefore, the answer is A. 4, 10, 8, 6.

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Total surface area of the regular square-based pyramid is 156 square units.

To find the total surface area of a regular square-based pyramid, we need to calculate the area of the base and the lateral faces.

First, let's calculate the area of the base. Since the base of the pyramid is a square, we can find its area by squaring the length of one side. In this case, the base side length is 6 units, so the area of the base is 6^2 = 36 square units.

Next, let's calculate the area of the four triangular lateral faces. Each lateral face is a triangle with base equal to the base side length of the pyramid (6 units) and height equal to the slant height of the pyramid (10 units). The area of each triangular face can be calculated using the formula for the area of a triangle: (1/2) * base * height. Therefore, the area of each triangular face is (1/2) * 6 * 10 = 30 square units.

Since there are four triangular lateral faces, the total area of the lateral faces is 4 * 30 = 120 square units.

Finally, to find the total surface area, we add the area of the base and the area of the lateral faces: 36 + 120 = 156 square units.

So, the total surface area of the regular square-based pyramid is 156 square units.

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Answer:

no idea

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

The answer to this question is 42 this is calculated by a super computer named deep for over 7.5 million years.

Answer:

We can rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. To do this, we can rearrange the terms as follows:y = 9 - xy = -1x + 9

This gives us a slope of -1 and a y-intercept of 9. We can plot the y-intercept at (0, 9) and use the slope to find another point on the line. The slope tells us that for every increase of 1 in x, the value of y decreases by 1. So, starting from (0, 9), we can move one unit to the right and one unit down to get another point (1, 8). We can continue this process to find more points or connect the two points we already have to draw a line.

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The resulting graph should be a straight line that starts at the point (0, 9) on the y-axis and intersects the x-axis at the point (9, 0). The line slants downward from left to right.

Here, we have,

We can rewrite the equation in slope-intercept form,

y = mx + b,

where m is the slope and b is the y-intercept.

To do this, we can rearrange the terms as follows:

y = 9 - x

y = -1x + 9

This gives us a slope of -1 and a y-intercept of 9.

We can plot the y-intercept at (0, 9) and use the slope to find another point on the line.

The slope tells us that for every increase of 1 in x, the value of y decreases by 1.

So, starting from (0, 9), we can move one unit to the right and one unit down to get another point (1, 8).

We can continue this process to find more points or connect the two points we already have to draw a line.

To graph the equation y = 9 - x, you can follow these steps:

Step 1: Create a table of values. Choose some x-values and substitute them into the equation to find the corresponding y-values. For simplicity, let's choose three values for x:

x | y = 9 - x

0 | 9 - 0 = 9

3 | 9 - 3 = 6

6 | 9 - 6 = 3

Step 2: Plot the points. Use the x-values from the table and their corresponding y-values to plot the points on the graph. The points are (0, 9), (3, 6), and (6, 3).

Step 3: Draw the line. Connect the plotted points with a straight line. The line should pass through all the plotted points.

The resulting graph should be a straight line that starts at the point (0, 9) on the y-axis and intersects the x-axis at the point (9, 0). The line slants downward from left to right.

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Step-by-step explanation:

f(x) = 2x - 1

Putting value of x = - 8

f(-8) = 2(-8) - 1

= - 16 - 1

= - 17

Answer:

3

Step-by-step explanation:

Answer:

c is the answer you will get you answer as a rational number (hope I'm not wrong)

Answering the question, we may state that incorrect. In conclusion, none of the claims are true based function  on the facts provided.

Mathematicians investigate the relationships between numbers, equations, and related structures, as well as the locations of forms and possible placements for these items. A set of inputs and their corresponding outputs are referred to as a "function" in this context. If each input results in a single, unique output, the relationship between the inputs and outputs is known as a function. Each function has its own domain, codomain, or scope. A common way to denote functions is with the letter f. (x). is an x for entry. One-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.  

It is difficult to compare g(x) with f(x) and establish whether they are the same function or not since g(x) is not provided. Option 1 is thus incorrect.

Setting x = 0 and figuring out y will reveal the y-intercept of f(x). Hence, f(0) = 3(0) - 2 = -2. This indicates that f(xy-intercept )'s is -2. No details are provided on the y-intercept of g. (x).

It is impossible to tell if f(x) has a sharper slope than g because f(x) has a slope of 3 and g(xslope )'s is unknown (x). As a result, choice 4 is also incorrect.

In conclusion, none of the claims are true based on the facts provided.

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Answer:

27

Step-by-step explanation:

In this case, because we have a polynomial where all x-values exist, we can plug the value (x=2) straight into the function:

\(\lim_{x \to \ 2} (2x^3+x^2+7)\)

\(= 2(2)^3+(2)^2+7\)

\(= 2(8)+4+7\)

\(= 27\)

The limit of (2x^3+x^2+7) as x approaches 2 equals 27, which makes sense since the value of (2x^3+x^2+7) at x = 2 is 27.

Answer:

Looking Ahead to Calculus: Lessons 1-5 Quick Check Answers

Lesson 1

Q1 B. -21

Q2 D. 4

Q3 D. 4 (yes, again)

Q4 B. lim f(x) = 5 [x→3+] ;

D. lim f(x) = 6 [x→3-] ;

F. lim f(x) [x→3] does not exist...

Lesson 2

Q1 A. lim x = a [x→a] ;

B. lim a = a [x→a];

D. lim x = 5 [x→5]

Q2 D. 16

Q3 B. 10a

Q4 D. 3

Lesson 3

Q1 A. -1

Q2 D. 1

Q3 B. It is discontinuous because there is a value a for which f(a) is not defined.

Q4 D. It is discontinuous because there is a value a such that lim f(x) [x→a] does not exist.

Lesson 4

Q1 D. 3

Q2 A. -13

Q3 C. y = -2x + 6

Q4 C. f'(a) = 8a + 2

Lesson 5

Q1 C. 2

Q2 D. v(t) = 8t - 2

Q3 B. 902 mi./min.

Q4 A. The car is slowing down at a rate of 10 mi./h^2.

Have a great summer