Your class has 18 students. Exactly 23 of them say that science is the subject they like the most. Which model shows 23 of 18 circled?

Answer:

2

-

2 - 4 ^ 5

Step-by-step explanation:

The probability that fewer than 3 of the 8 sampled people are unemployed is approximately 0.91, indicating that there is a high chance of having at least 3 employed people in the sample.

It can be solved using the binomial distribution formula.

Let X be the number of unemployed people in a sample of 8 from the city.

Then X follows a binomial distribution with parameters n = 8 and p = 0.16, since the probability of an individual being unemployed is 0.16.

The probability of fewer than 3 people being unemployed is the probability of X = 0, 1, or 2.

We can compute this probability as:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Using the binomial distribution formula:

P(X = k) = (n choose k) * p^k * (1 - p)^{(n - k)}

We can compute each term separately:

P(X = 0) = (8 choose 0) * 0.16⁰ * 0.84⁸ ≈ 0.3252

P(X = 1) = (8 choose 1) * 0.16¹* 0.84⁷ ≈ 0.3772

P(X = 2) = (8 choose 2) * 0.16² * 0.84⁶ ≈ 0.2035

Therefore,

P(X < 3) ≈ 0.3252 + 0.3772 + 0.2035 ≈ 0.906

Rounding to two decimal places, the probability that fewer than 3 of the 8 sampled people are unemployed is approximately 0.91.

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Answer:

60 square units; 40 units

Step-by-step explanation:

to find the missing side you use the pythagorean theorem

a^2 + b^2 = c^2

8^2 + b^2 = 17^2

64 + b^2 = 289

b^2 = 225

b = 15

area is l*h*1/2

15 * 8 * 1/2 = 60 square units

perimeter is adding them all

15 + 8 + 17 = 40 units

Answer:

A

Step-by-step explanation:

In order for the length of the pieces to be as great as possible, the number of pieces must be as small as possible. Jason can't keep the rope in one piece, that doesn't count as cutting the rope into pieces because he hasn't cut the rope. If there were 2 equal pieces, each piece would be 60 / 2 = 30 feet, and since 30 is an integer, the answer is 2.

Answer:

(3,1)

Step-by-step explanation:

When a point is reflected across the y axis, the sign of its x coordinate flips. Since point A is at (-3,-5), when it is reflected across the y axis its new position will be (3,-5). Now, point A is 3 units from the line y=-2, meaning that when it is reflected across it will be 3 units away from the other direction. (-2+(3))=1, meaning that the final coordinates of point A are (3,1). Hope this helps!

Answer: A ratio is one thing or value compared with or related to another thing or value; it is just a statement or an expression, and can only perhaps be simplified or reduced. On the other hand, a proportion is two ratios which have been set equal to each other; a proportion is an equation that can be solved.

Step-by-step explanation: looked it upp

Answer: 1/5

Step-by-step explanation:

10. 3

3. 2

Three divided by three is one

Ten divided by two is five

Answer:

5

Step-by-step explanation:

10/3 divided by 2/3

Using the rule of dividing fractions, you flip one side and multiple.

10/3 multiplied by 3/2

Think: Can you simplify from across?

10 and 2, 3 and 3 can simplify from across

5/1  multiplied by 1/1 = 5

If you have any questions I would be glad to help.

The three division expressions that are each equivale to 35.78 ÷ 6 is 0.5933\(\times10^1\), 59.33\(\times10^{-1}\) and 59.33\(\times10^{-2}\).

In the given question we have to use the powers of 10 to write three division expressions that are each equivale to 35.78 ÷ 6.

The given expression is 35.78 ÷ 6

To express in power of 10 we have to firstly simplify the given expression.

To simplify the given expression we have to divide the 35.78 by 6.

So 35.78 ÷ 6 =5.9633

To express in the power of 10 we move the decimal point left and right.

When we move left the power is positive and when move right power is negative.

The first expression is 0.5933\(\times10^1\)

The second expression is 59.33\(\times10^{-1}\)

The third expression is 593.3\(\times10^{-2}\)

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0.25 recurring can be expressed as the fraction 25/99.

A fraction is a mathematical expression representing a part of a whole, or a ratio between two numbers. It consists of a numerator, which represents the part or ratio being considered, and a denominator, which represents the whole or total.

To express 0.25 recurring as a fraction, we can use the following method:

Let x = 0.25 recurring

Then 100x = 25.25 recurring (multiply both sides by 100 to move the decimal point)

Subtracting the first equation from the second equation, we get:

100x - x = 25.25 recurring - 0.25 recurring

99x = 25

x = 25/99

Therefore, 0.25 recurring can be expressed as the fraction 25/99.

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Answer:

1. An octagon has 8 sides.

2. A triangle has 3 angles.

3. A hexagon has 6 angles.

4. A heptagon has 7 sides.

5. A pentagon has 5 sides.

6. A heptagon has 7 angles.

7. A quadrilateral has 4 angles.

8. A triangle has 3 sides.

9. A hexagon has 6 angles.

10. An octagon has 8 angles.

Step-by-step explanation:

Each quadratic equation with its roots are:

a²- a + 11 = 0, a =  (1 ±  i√43)/ 2

a² - 2a + 15 = 0, a =  1 ±  i√14

a² - 2a + 10 = 0, a = 1 ±  3i

a²-a +12=0, a =  (1 ±  i√47)/ 2

The quadratic formula is a formula used to find the solutions of a quadratic equation, which is an equation in the form of ax² + bx + c = 0,

where a, b, and c are constants. The quadratic formula can be used to find the two solutions (x1 and x2) of a quadratic equation, even when the equation cannot be solved by factoring.

The quadratic formula is:

x = (-b ± √(b²  - 4ac)) / (2a)

a²- a + 11 = 0

a = 1, b = -1 and c = 11

x = (-b ± √(b²  - 4ac)) / (2a)

x = (-(-1) ± √((-1)²  - 4*1*11)) / (2*1)

x =  (1 ± √(-43))/ 2

x =  (1 ±  i√43)/ 2

a² - 2a + 15 = 0

a = 1, b = -2 and c = 15

x = (-b ± √(b²  - 4ac)) / (2a)

x = (-(-2) ± √((-2)²  - 4*1*15)) / (2*1)

x =  (2 ± √(-56))/ 2

x =  (2 ±  i√56)/ 2

x =  (2 ±  2i√14)/ 2

x =  1 ±  i√14

a² - 2a + 10 = 0

a = 1, b = -2 and c = 10

x = (-b ± √(b²  - 4ac)) / (2a)

x = (-(-2) ± √((-2)²  - 4*1*10)) / (2*1)

x =  (2 ± √(-36))/ 2

x =  (2 ±  6i)/ 2

x =  1 ±  3i

a²-a +12=0

a = 1, b = -1 and c = 12

x = (-b ± √(b² - 4ac)) / (2a)

x = (-(-1) ± √((-1)²  - 4*1*12)) / (2*1)

x =  (1 ± √(-47))/ 2

x =  (1 ±  i√47)/ 2

Note: I used "x" as the unknown for convenience. The unknown is actually "a".

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The area of the region enclosed by the functions f(x) = √x and g(x) = √x is 2/3 square units

The two functions f(x) = √x and g(x) = √x are identical, so they coincide with each other. Therefore, the region enclosed by the two functions is simply the area under the curve of one of the functions, from x = 0 to x = 1.

To find this area, we can integrate the function f(x) over the interval [0, 1]

∫₀¹ √x dx

We can simplify this integral by using the power rule of integration

∫₀¹ √x dx = [2/3 x^(3/2)] from 0 to 1

Plugging in the limits of integration, we get

[2/3 (1)^(3/2)] - [2/3 (0)^(3/2)] = 2/3 square units

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The given question is incomplete, the complete question is:

Find the area of the region enclosed by f(x)=√x and and g(x)=√x, Write an exact answer (fraction).

Answer:

x =7

Step-by-step explanation:

\( {f}^{ - 1} (36) = 7 \\ \\ \implies \: 36 = {f} (7) \\ \\ f(x) = 36.... (given) \\ \\ f(7) = f(x) \implies \: x = 7\)

Each installment will be approximately $15,280.55.

To calculate the equal six-monthly installment, we can use the formula for the present value of an annuity.

Principal amount (P) = $500,000

Interest rate (r) = 12% per annum = 12/100 = 0.12 (compounded monthly)

Number of periods (n) = 20 (since there are 20 equal six-monthly installments)

The formula for the present value of an annuity is:

\(P = A * (1 - (1 + r)^(-n)) / r\)

Where:

P = Principal amount

A = Equal installment amount

r = Interest rate per period

n = Number of periods

Substituting the given values into the formula, we have:

$500,000 = \(A * (1 - (1 + 0.12/12)^(-20)) / (0.12/12)\)

Simplifying the equation:

$500,000 = A * (1 - (1.01)^(-20)) / (0.01)

$500,000 = A * (1 - 0.6726) / 0.01

$500,000 = A * 0.3274 / 0.01

$500,000 = A * 32.74

Dividing both sides by 32.74:

A = $500,000 / 32.74

A ≈ $15,280.55

Therefore, each installment will be approximately $15,280.55.

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The defendant was charged with aggravated assault. During the trial, the victim testified that the defendant beat her savagely.

In this case, aggravated assault refers to a more severe form of assault that involves the intentional causing of serious bodily harm to another person. The victim's testimony plays a crucial role in providing evidence and establishing the defendant's guilt. The prosecution will likely present other evidence, such as medical reports or eyewitness testimonies, to support the victim's claim.

It's important to note that the final verdict will depend on the judge or jury's assessment of the evidence presented during the trial. The defense will have an opportunity to cross-examine the victim and present their own evidence or witnesses to challenge the victim's testimony. The defendant's attorney may also argue for a lesser charge or attempt to establish that the defendant acted in self-defense. Ultimately, the court will weigh all the evidence and decide whether the defendant is guilty of aggravated assault based on the standard of proof beyond a reasonable doubt.

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Answer:

B.

Step-by-step explanation:

4x + 4x - 4x = 4x

24x ÷ 2 = 12x

3x • 4x = \(12x^2\)

15x - 3 = 15x - 3

Answer:

B. 24x/2

Step-by-step explanation:

12x

A. 4x + 4x - 4x = 8x - 4x = 4x

B. 24x/2  = 24/2 x = 12x

C. (3x)(4x) = 12 x^2

D. 15x - 3​ = 15x -3  ( no like terms

Answer:

Substitute the value of the variable into the expression and simplify.

− 18

Step-by-step explanation:

I'm sorry if it's not what you are looking for.

Answer:

The probability is 8/48

Step-by-step explanation:

There is a total of 48 marbles and 8 of them are blue.

Slope can be found using the following equation:

slope (m) = \(\frac{y_2 - y_1}{x_2 - x_1}\)

7) Let:

\((x_1 , y_1) = (-1 , -11)\\(x_2 , y_2) = (-6 , -7)\)

Plug in the corresponding numbers to the corresponding variables:

m = \(\frac{-7 - (-11)}{-6 - (-1)} = \frac{-7 + 11}{-6 + 1} = \frac{4}{-5} = -\frac{4}{5}\)

Slope: \(-\frac{4}{5}\)

8) Let:

\((x_1 , y_1) = (-7 , -13)\\(x_2 , y_2) = (1 , -5)\)

Plug in the corresponding numbers to the corresponding variables:

m = \(\frac{-5 - (-13)}{1 - (-7)} = \frac{-5 + 13}{1 + 7} = \frac{8}{8} = 1\)

Slope: \(1\)

9) Let:

\((x_1 , y_1) = (-5 , 3)\\(x_2 , y_2) = (8 , 3)\)

Plug in the corresponding numbers to the corresponding variables:

m = \(\frac{3 - (3)}{8 - (-5)} = \frac{0}{8 + 5} = \frac{0}{13} = 0\)

Slope: \(0\)

10) Let:

\((x_1 , y_1) = (3 , -2)\\(x_2 , y_2) = (15 , 7)\)

Plug in the corresponding numbers to the corresponding variables:

m = \(\frac{7 - (-2)}{15 - 3} = \frac{7 + 2}{15 - 3} = \frac{9}{12}\)

Simplify the slope. Divide common factors from both the numerator and denominator:

\((\frac{9}{12})/(\frac{3}{3} ) = \frac{3}{4}\)

Slope: \(\frac{3}{4}\)

11) Let:

\((x_1 , y_1) = (-5 , -10)\\(x_2 , y_2) = (-5 , -1)\)

Plug in the corresponding numbers to the corresponding variables:

m = \(\frac{-1 - (-10)}{-5 - (-5)} = \frac{-1 + 10}{-5 + 5} = \frac{9}{0} =\) undefined.

Slope: undefined

12) Let:

\((x_1 , y_1) = (-4 , -2)\\(x_2 , y_2) = (-12, 16)\)

Plug in the corresponding numbers to the corresponding variables:

m = \(\frac{16 - (-2)}{-12 - (-4)} = \frac{16 + 2}{-12 + 4} = \frac{18}{-8} = -\frac{18}{8} = ((-\frac{18}{8})/( \frac{2}{2}) = -\frac{9}{4}\)

Slope: \(-\frac{9}{4}\)

~

Answer:

19.6

Step-by-step explanation:

A = πr²

A = (3.14159)(2.5 in.)²

A = 19.6 in.²

The question that will result in discrete quantitative data is:

how much did you spend at the movies today?

Discrete quantitative data refers to data that can take only a given set of numeric values (not like continuous quantitative data, where the data can take "any real value").

So, a question like "what genre of movie is your favorite?" is not the correct option, because the answer to that question will not be a number.

"did you order anything from the concession stand?" The answer to this question is also not a number, so this is also wrong.

Now, the correct option is "how much did you spend at the movies today?".

Here the answer will be a quantity (a number) and that number only can be a multiple of the objects that are sold on the cine theater (food, tickets, etc) so that number belongs to a discrete set.

Thus, we conclude that this question is the correct option.

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Answer:

C) How much did you spend at the movies today?

Step-by-step explanation:

edge 2023

Answer:

15

Step-by-step explanation:

(5x + 9)° = 84° (alternate angles)

5x + 9 = 84

5x = 84 - 9

5x = 75

x = 75/5

x = 15

Answer:

no

Step-by-step explanation:

if it was 9.04 it would

its not equal because 9.40 is 10^2 but 9.4 is 10^1

(a) Yes, the air in the house would exceed the long-term health standard if the groundwater is in equilibrium with the air in the house.

(b) The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT).

(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.

(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm.

(a) The Henry's Law constant for TCE is 0.4, which means that the concentration of TCE in air at equilibrium with water is 40% of the concentration in water. The groundwater concentration is 110 ppm, so the equilibrium air concentration would be 44 ppm. This exceeds the long-term health standard of 25 ppm.

(b) The flux of TCE through the floor is given by FT = k(c+ - CT), where k is a measured constant, c+ is the concentration of TCE in the groundwater, and CT is the concentration of TCE in the air in the house. The normal strategy for remediating vapor intrusion is to install fans in the house that ventilate the house with outside air. The outside ambient air has a concentration of ca. The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT), where dct/dt is the rate of change of the concentration of TCE in the house, k is the flux constant, c+ is the concentration of TCE in the groundwater, CT is the concentration of TCE in the air in the house, Q is the ventilation rate, and ca is the concentration of TCE in the outside air.

(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q, where Ah is the area of the house, k is the flux constant, and Q is the ventilation rate. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.

(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm. The difference is due to the fact that the groundwater concentration is much higher than the ambient air concentration.

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Proportionality describes a relationship between values that have the same ratio.

Direct Proportionality

The are 2 types of proportionality; the first is directly proportional. If a relationship is directly proportional, both values will increase or decrease together at the same rate. Directly proportional relationships are described by the equation:

In this equation, y and x are variables while k represents the constant of proportionality. In a directly proportional relationship, both the y and x value grow at the same rate. For example, take this set of values:

These values are directly proportional because they both double each time, meaning they grow at the same rate. Additionally, the ratio between terms remains the same. Take the ratios 20:2 and 40:4, when simplified these are both 10:1 (for proportionality it's easier to write ratios as y:x). Since the ratio is the same, they are proportional. Additionally, the ratio tells us that the constant of proportionality is 10. So the equation to represent this situation is

Indirectly Proportional

Indirect proportionality is similar to direct, but instead of increasing or decreasing together, one value increases while the other decreases. Indirect proportionality is described by the equation:

We can represent this with another set of x and y values.

Unlike directly proportional relationships, the growth rate is not constant. Still, we can represent this relationship as

So, k still equals 10, but the relationship is indirectly proportional. As x increases, y decreases, and vice versa.

Roses: 6

Daisies: 15 - 6

= 9

The ratio of all flowers to all rose flowers.

15:9

The ratio of roses to daisies.

6:9

2:3 (simplified)

Students were surveyed about their favorite colors. 1/4 of the student preferred red, 1/8 of the students preferred blue, and 3/5 of the remaining students preferred greed, then 10 students surveyed did not choose a rainbow color as their favorite.

Let's use algebra to solve for the total number of students surveyed:

Let x be the total number of students surveyed.

Then, the number of students who preferred red is (1/4)x.

The number of students who preferred blue is (1/8)x.

The remaining students are (x - (1/4)x - (1/8)x) = (5/8)x.

Out of these remaining students, 3/5 preferred green, so we can set up the equation:

(3/5)(5/8)x = 15

Simplifying, we get:

(3/8)x = 15

Multiplying both sides by 8/3, we get:

x = 40

Therefore, there were 40 students surveyed in total. To find the number of students who did not choose a rainbow color as their favorite, we need to subtract the number of students who preferred red, blue, green, or purple from the total number of students:

Number of students who did not choose a rainbow color = x - (1/4)x - (1/8)x - 15 = 40 - 10 - 5 - 15 = 10

Therefore, 10 students surveyed did not choose a rainbow color as their favorite.

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