Which expression is represented by the number line? A number line going from negative 4 to positive 4. An arrow goes from negative 2. 5 to negative 1, from 0 to 3, and from 3 to negative 2. 5. 3 – 5. 5 – 1. 5 3 – 5. 5 1. 5 3 – 2. 5 – 1 3 – 2. 5 1.

Answer:

Available Digits = 4 (1, 2, 3 , 4)

Step-by-step explanation:

Now, if the digits can be used only once, it is a case of permuting 4 things out of 4 things i.e. 4P4=24ways

Alternatively, the units place can be filled in 4 ways, tens place can be filled in 3 ways, hundreds place can be filled in 2 ways and thousands place in 1 way.

So, TOTAL=4×3×2×1=24

HOPE IT HELPS

Answer:

25%

Step-by-step explanation:

The difference between his salary before and after the raise is 1200. 1200 is 25% of his salary before the raise, so it is a raise of 25%.

Answer:

72 games in total

Step-by-step explanation:

hope this helps :)

The length of the given building is equal to 186ft

To calculate the length of the building whose shadow is 248ft, we can simply find the ratio of the height of Tim to his shadow and compare it with the building.

The ratio of the height to the shadow is 6:8

Or we can simply set it out as an equation, cross multiply and solve.

\(height = shadow length\)

Let's use this system to solve

\(height = shadow length\\6ft = 8ft\\x = 248\\\)

We can cross multiply here and solve for x

\(x = \frac{6 * 248}{8}\\x = 186ft\)

The height of the building is 186ft

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After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

The Markov assumption in this context is that the probability of a voter's next vote depends only on their current vote and not on their past voting history. In other words, the Markov assumption states that the future behavior of a voter is independent of their past behavior, given their current state.

Transition diagram:

        LEFT      RIGHT

    |--------->--------|

LEFT |   0.8        0.2   |

    |                   |

RIGHT|   0.1        0.9   |

    |--------->--------|

The diagram represents the two possible states: LEFT and RIGHT. The arrows indicate the transition probabilities between the states. For example, if a voter is currently in the LEFT state, there is a 0.8 probability of transitioning to the LEFT state again and a 0.2 probability of transitioning to the RIGHT state.

Transition matrix:

     |  LEFT   |  RIGHT  |

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

LEFT  |   0.8   |   0.2   |

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

RIGHT |   0.1   |   0.9   |

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

The transition matrix represents the transition probabilities between the states. Each element of the matrix represents the probability of transitioning from the row state to the column state.

If 55% of the electorate votes RIGHT one year, we can use the transition matrix to find the percentage of voters who vote RIGHT the next year.

Let's assume an initial distribution of [0.45, 0.55] for LEFT and RIGHT respectively (based on 55% voting RIGHT and 45% voting LEFT).

To find the percentage of voters who vote RIGHT the next year, we multiply the initial distribution by the transition matrix:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1] = [0.62, 0.38]

Therefore, the percentage of voters who vote RIGHT the next year would be approximately 38%.

To find the voter percentages in 10 years' time, we can repeatedly multiply the transition matrix by itself:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1]^10 ≈ [0.503, 0.497]

After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

Interpretation: The results suggest that over time, the voter percentages will tend to approach an equilibrium point where the percentages stabilize. In this case, the percentages stabilize around 50% for both LEFT and RIGHT parties.

No, there will not be a steady state where the party percentages don't waiver. This is because the transition probabilities in the transition matrix are not symmetric. The probabilities of transitioning between the parties are different depending on the current state. This indicates that there is an inherent bias or preference in the voting behavior that prevents a steady state from being reached.

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The null hypothesis (H0) says about the treatment is that it does not affect the scores.

Hypothesis testing is the statistical method that uses the data from a sample to conclude a population parameter or a population distribution.

There are two types of hypothesis testing. They are the null hypothesis and the alternative hypothesis.

It is given that,

A researcher selects a sample and administers a treatment to the individuals in the sample.

A hypothesis test is conducted on the sample.

So, the null hypothesis (H0) says about the treatment is that it does not affect the score obtained.

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Answer:

35/40 = (7*5)/(8*5) = 7/8

So the Lions won 7/8 of the games they played.

2) To write a decimal equivalent to 7/8, we can divide 7 by 8 using long division:

0.875

___________

8 | 7.000

- 6.4

_______

60

-56

____

40

-40

____

0

So 7/8 is equivalent to the decimal 0.875.

To write a percent equivalent to 7/8, we can multiply the decimal equivalent by 100:

0.875 * 100 = 87.5%

So the Lions won 87.5% of the games they played.

A) The probability that the sample mean is within $500 of the population mean for a sample of size 60 is 0.6611

B) The probability that the sample mean is within $500 of the population mean for a sample of size 120 is 0.7362

The EAI (Error of the Estimate) sampling problem is a specific case of the Central Limit Theorem, which states that the distribution of sample means from a population with a finite variance will be approximately normally distributed as the sample size increases.

The formula for calculating the standard error of the mean is

SE = σ/√n

where SE is the standard error, σ is the population standard deviation, and n is the sample size.

For n = 30, SE = 4,000/√30 = 729.16

A. For a sample size of n = 60, SE = 4,000/√60 = 516.40

To find the probability that the sample mean is within $500 of the population mean, we need to calculate the z-score for a range of +/- $500

z = (x - μ) / SE

where x is the sample mean, μ is the population mean, and SE is the standard error.

For a range of +/- $500, the z-scores are

z = ($51,300 - $51,800) / 516.40 = -0.969

z = ($52,300 - $51,800) / 516.40 = 0.969

Using a standard normal distribution table, the area between z = -0.969 and z = 0.969 is 0.6611.

B. For a sample size of n = 120, SE = 4,000/√120 = 368.93

Following the same steps as above, the z-scores for a range of +/- $500 are

z = ($51,300 - $51,800) / 368.93 = -1.364

z = ($52,300 - $51,800) / 368.93 = 1.364

Using the standard normal distribution table, the area between z = -1.364 and z = 1.364 is 0.7362.

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In algebra, fractions can be added, subtracted, multiplied, and divided just like in basic arithmetic.

The components of a whole or group of objects are represented by fractions. A fraction consists of two parts. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the whole or collection. The denominator is the figure that appears below the line.

Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the fundamentals of algebra. Additionally, the algebraic expressions contain the fundamental arithmetic operations of addition, subtraction, multiplication, and division.

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Answer:

5.2 degrees the mountain slope forms with the ground at sea level

The angle that the mountain slope forms with the ground at sea level is 20.64°

"The distance covered by an object in unit time."

"The longest side of a right triangle."

"In a right triangle for angle θ ,

sin(θ) = opposite side / hypotenuse "

For given example,

Consider the following figure for given example.

Sam starts skiing at the peak 97 yards above sea level.

⇒ XY = 97 yards

He skis down the mountain at a rate of 1.5 yards per second.

⇒ speed = 1.5 yards per second

It takes him 3 minutes to reach flat ground at sea level.

⇒ t = 3 minutes

⇒ t = 180 seconds

XZ is the distance between peak of a mountain and the ground.

Using speed formula,

⇒ speed = XZ / times

⇒ 1.5 = XZ / 180

⇒ XZ = 1.5 × 180

⇒ XZ = 270 yards

This means the hypotenuse of right triangle XYZ is 270 yards.

Now, we need to find the angle that the mountain slope forms with the ground at sea level.

\(\Rightarrow sin(\theta)=\frac{XY}{XZ}\\\\\Rightarrow sin(\theta)=\frac{97}{270}\\\\ \Rightarrow sin(\theta)=0.3526\\\\ \Rightarrow \theta = sin^{-1}(0.3526)\\\\\Rightarrow \theta=20.64^{\circ}\)

Therefore, the angle that the mountain slope forms with the ground at sea level is 20.64°

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Answer:

Below in bold.

Step-by-step explanation:

C1 = 180 - C2

= 180 -  (170-2x)

= 10 + 2x

So B3 = 10+2x (alternate angles).

and B2 = 90 - B3

= 90 - (10 + 2x)

= 80 - 2x.

Answer:

6 gallons

Step-by-step explanation:

1) $30/10 gallons= $3 per gallon

So...

2) $18/3=6 gallons

Answer:

\(5x= 15\)

Step-by-step explanation:

Given

\(3x - 5 = -2x +10\)

Required

Write the variables and constants on different sides

\(3x - 5 = -2x +10\)

Add 2x to both sides

\(2x + 3x - 5 =2x -2x +10\)

\(5x - 5 =10\)

Add 5 to both sides

\(5x - 5 + 5 = 10 + 5\)

\(5x= 10 + 5\)

\(5x= 15\)

Hence, the equation is

\(5x= 15\)

Solving further [divide both sides by 5]

\(x = 3\)

I think it is -5=x

Step-by-step explanation:

Answer:

1. 7 Nickels, 13 Dimes

2. 30 Nickels, 15 Quarters

3. 74 Girls, 106 Boys

4. 180 tickets bought before and 113 bought at the gate

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

Nickel: n = 5c, Dime: d = 10c

Equations as per given:

Substitute d:

2)

Nickels: n = 5c, Quarters: q = 25c

Equations as per given:

Substitute n:

3)

Boys = b

Girls = g

Equations as per given:

Substitute b:

4)

Tickets purchased at the gate: g = $15

Tickets purchased before the concert: b = $10

Equations as per given:

Substitute b:

Answer:

A. 2 ( 10 x − 5 )

D. 10 ( 2 x − 1 )

Step-by-step explanation:

Given expression:

20x − 10

Find the equivalent expression

Check all that applies

A. 2 ( 10 x − 5 )

= 20x - 10

B. 2 ( 2 x − 1 )

= 4x - 2

C. 10 ( 20 x − 10 )

= 200x - 100

D. 10 ( 2 x − 1 )

20x - 10

The correct options are

A. 2 ( 10 x − 5 )

D. 10 ( 2 x − 1 )

To find the probability that a person fails the first time but passes the second time in organic chemistry, we need to multiply the probability of failing the first time (0.2) by the probability of passing the second time (0.9).

Probability of failing the first time = 0.2

Probability of passing the second time = 0.9

Probability of failing the first time but passing the second time = 0.2 * 0.9

Calculating the product:

Probability of failing the first time but passing the second time = 0.18

Therefore, the probability that a person fails the first time but passes the second time in organic chemistry is 0.18, or 18%.

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Answer:

y= -25

Step-by-step explanation:

Hope this helps!!

Answer:

I think 7

Step-by-step explanation:

By the way I'm a swimmer, and even I could swim 3 laps under 12 minutes. This poor girl is slow...

To find the missing value we can us the sine function:

in this case the missing value x is the hypotenuse, the opposite leg is 35 and the angle is 45°, then we have:

Then we have that x=42.4

The area of the triangle when the height is 12 cm would be 414 cm².

The area of the triangle is half the product of its base and height.

A = (1/2)bh

Given that the area A of a triangle whose base is b 3 cm less than six times the height h.

Consider h be the height of the triangle. With this the base may be represented as; 6h - 3.

Therefore,

A = (1/2)bh

A =  (1/2)(6h - 3)h

Now to the equation the value of h, 

  A = (1/2)((6)(12 cm) - 3)(12 cm)

A = 414 cm²

Therefore, the area of the triangle when the height is 12 cm would be 414 cm².

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Answer:

2875

-------

6

that's the answer don't believe

Answer:

When reflecting a point or line segment across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. In this case, we are given the points A (2,5) and B (-3,6) and asked to find their reflections in the x-axis, represented by the points A’ and B’.To reflect point A across the x-axis, we simply change the sign of the y-coordinate while keeping the x-coordinate the same. So, if A is (2,5), its reflection A’ is (2,-5). We can follow the same procedure for point B. If B is (-3,6), its reflection B’ is (-3,-6).From this calculation, we see that answer choice A is the correct one. Therefore, A’(2,-5) and B’(-3,6) represent the points that are the reflections of A and B, respectively, across the x-axis.The reflection of a point across the x-axis can also be visualized as the point being mirrored across the x-axis as if it were a horizontal mirror. In this case, point A is reflected to the point A’ which is the same distance above the x-axis as A is below the x-axis. Similarly, point B is reflected to point B’ which is the same distance below the x-axis as B is above the x-axis.It’s also worth noting that reflecting a point or line segment across the x-axis is an example of a transformation in coordinate geometry. Translations, reflections, rotations, and dilations are all examples of transformations that can be used to manipulate geometric figures on the coordinate plane.Overall, reflecting a point or line segment across the x-axis is a relatively simple calculation that involves negating the y-coordinate. In the context of coordinate geometry, it’s important to understand the basic transformations like these and how they can be used to manipulate shapes and figures on the coordinate plane.

Step-by-step explanation:

Answer:

z = 5

Step-by-step explanation:

given z varies jointly with x and y then the equation relating them is

z = kxy ← k is the constant of variation

to find k use the condition when x = - 8, y = - 3 and z = 6

6 = k(- 8)(- 3) = 24k ( divide both sides by 24 )

\(\frac{6}{24}\) = k , that is

k = \(\frac{1}{4}\)

z = \(\frac{1}{4}\) xy ← equation of variation

when x = 2 and y = 10 , then

z = \(\frac{1}{4}\) × 2 × 10 = \(\frac{1}{4}\) × 20 = 5

Since Line V and Line W are parallel, they must have the same slope.

This gives us that the equation for Line W looks like: y = 8x + b

We need to find b and we use that point (-1,-2) to find it.  Substitute (-1,-2) into x and y and you can solve for b:

    -2 = 8(-1) + b

    -2 = -8 + b

    -2 + 8 = -8 + 8 + b

     6 = b

Now you have b (AKA the y-intercept).

The final equation is y = 8x + b.

Answer:

2(√17b³ )c⁵

Step-by-step explanation:

We are to simplify the expression given below

√68b³c¹⁰

Simplifying 68

= √(17 × 4)b³c¹⁰

Hence

= 2√17b³c¹⁰

= 2 √17b³ × √c¹⁰

= 2 √17b³ × c¹⁰/²

= 2(√17b³ )c⁵

Answer:

2

Step-by-step explanation:

Sara owed $200 with terms of 2/10, n/60. She made a payment of $80 within ten days. The answer is: Sara paid $80 within ten days.

The terms "2/10, n/60" refer to a discount and a credit period. The first number, 2, represents the discount percentage that Sara can take if she pays within 10 days. The second number, 10, indicates the number of days within which she can take the discount. The letter "n" represents the net amount, which is the total amount owed without any discount. The last number, 60, represents the credit period, which is the maximum number of days Sara has to make the payment without incurring any penalty.

Since Sara paid $80 within ten days, she was eligible for the discount. To calculate the discount, we multiply the discount percentage (2%) by the net amount ($200), which gives us $4. Therefore, the discount Sara received is $4. Subtracting the discount from the net amount, Sara's remaining balance is $200 - $4 = $196.

In conclusion, Sara made a payment of $80 within ten days, received a discount of $4, and still has a remaining balance of $196.

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