A rectangle is 3 times as long as it is wide. The perimeter is 120 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.

Answer:

24

Step-by-step explanation:

$2 divided by 4 equals 50 cents

50 cents per copy

$12 will get you 24 copies

Answer:

24 copies

Step-by-step explanation:

$2 ----- 4 copies

$1 ----- 4 ÷2= 2 copies

$12 ----- 2(12)= 24 copies

Alternatively, we can present our working this way:

For every $2, 4 copies can be made.

Number of sets of $2 in $12

= $12 ÷$2

= 6

Since there are 6 sets of $2 and each set of $2 can make 4 copies,

number of copies

= 6(4)

= 24 copies

Answer:

The passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.

Step-by-step explanation:

First, we need to find the weight (W) of the 4 bags:

\( W = 3.5 kg + 15 kg + 2 kg + 1.5 kg = 22 kg \)

Now, knowing that the maximum allowed (M) is 20 kg the excess weight of the luggage is:

\( W_{e} = W - M = 22 kg - 20 kg = 2 kg \)

We can express the excess weight in percentage as follows:

\( \% W_{e} = \frac{W_{e}}{M} \times 100 = \frac{2 kg}{20 kg}\times 100 = 10 \% \)  

Therefore, the passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.          

I hope it helps you!                      

The z-value is -2.26. Therefore, the correct option is (C).

Given that z is a standard normal random variable, the value of z if the area to the left of z is 0.0119 is -2.26. So, the correct answer is (C).

The area to the right of z is (1-0.0119) = 0.9881.

Using a standard normal distribution table or calculator, find the z value for an area of 0.9881.

We get z=2.26.

Now, we know that z value is negative because we have to go left from the center of the normal distribution curve.

The area to the left of z is 0.0119. The area to the right of z is (1-0.0119) = 0.9881.

Using a standard normal distribution table or calculator, find the z value for an area of 0.9881. We get z=2.26.

Now, we know that z value is negative because we have to go left from the center of the normal distribution curve.

Therefore, the z-value is -2.26. Therefore, the correct is (C).

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Answer:

The answer should be D) 105 = (5x - 70)

Step-by-step explanation:

Answer:

D. 105=(5x-70)

Step-by-step explanation:

I'm pretty sure its correct but it may not be

After the conversion, 133 hours and 33 minutes will it take to completely empty the pool which contains 12,000 gallons.

In the given question we have to find how many hours and minutes will it take to completely empty the pool which contains 12,000 gallons.

As given that pool empties at a rate of 12 quarts every 2 minutes.

In 12 quarts = empties in 2 minutes

As we know that 1 gallon = 4 quarts

So 1 quarts = 1/4 gallon

In 12 quarts = 12/4 gallon

12 quarts = 3 gallon

So 3 gallon = empties in 2 minutes

So 1 gallon = empties in 2/3 minutes

12,000 gallon = empties in 2/3 ×12,000 minutes

Simplifying

12,000 gallon = empties in 2×4,000 minutes

12,000 gallon = empties in 8,000 minutes

Now converting minutes in hours.

As we know that 1 minute = 1/60 hours

So 8000 minute = 8000/60 hours

8000 minutes = 133 hours 33 minutes

133 hours and 33 minutes will it take to completely empty the pool which contains 12,000 gallons.

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Answer:

Step-by-step explanation:

-3,5

,5,0

Answer:

39.75 meters

Step-by-step explanation:

7.5 x 5.3 =

39.75 meters of foam

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

Answer:

coefficient is a number in front of a variable. For example, in the expression x 2-10x+25, the coefficient of the x 2 is 1 and the coefficient of the x is -10. The third term, 25, is called a constant.

What is the nth term to this sequence 18,16,14,12 ?

Answer: 4

Explanation:

1. 18

2. 16

3. 14

4. 14

5. 12

6. 10

7. 8

8. 6

9. 4

Answer:

Hey!

The nth term for your sequence is -2!

Step-by-step explanation:

18 - 2 = 16

16 - 2 =14

And so on! (the nth term of a sequence is basically the differences between the different terms!)

HOPE THIS HELPS!!

Expected number of defectives is 3.

What do you mean by probability?

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The likelihood or chance of an event happening is known as probability.

Probability =  (the number of ways of achieving success)/( the total number of possible outcomes)

It is given that there are total 50 computers and out of which 3 are defective. So , here atmost 3 can be  defective out of 7.So , out of 7 , one can be defevtive , 2 can be defective and 3 can be defective

Therefore, expected number of defectives is 3.

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The rectangular coordinates will be (x=7cot(θ), y=7).

A pair of coordinates locating the position of a point in a plane, the first being the length of the straight line ( r ) connecting the point to the origin, and the second the angle ( θ ) made by this line with a fixed line.

We have the standard conversion toolbox:

\(x=rcos(\theta)\\\\y=rsin(\theta)\)

Here it is given that

\(r=7cosec(\theta)\)

so

\(x=7cosec(\theta)\times cos(\theta)=\dfrac{7cos(\theta)}{sin(\theta )}=7cot(\theta)\\\\\\y=7cosec(\theta)\times sin(\theta)=\dfrac{7sin(\theta)}{sin(\theta)} = 7\)

therefore the rectangular coordinates are (7cot(θ), 7)

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Answer:

3/5 cups of sugar

Step-by-step explanation:

If 1/5 of a cup of sugar is used for 1/3 of a gallon of lemonade, 1/5 of a cup will be used in each of the overall three thirds of a gallon.

Answer:

3/5 cup of sugar good luck

Answer:

3,100

Step-by-step explanation:

1,395 home supporters ÷ 45% = 31

(31 is 1% of the total number of attendees at the game)

31 × 100 = 3,100 total attendees

Let me know if there's anything else you need to know

Total number of people attending the game is 3100.

A mathematical statement that is made up of two expressions connected by an equal sign.

Given:

45% of people attending were supporting the home team

55% were supporting the visiting team.

let the total number of people attending the game is x

45% of x = 1395

x= 1395 * 100/45

x= 3100

Hence, total number of people attending the game is 3100.

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The probability that the player will have a bad season  is 13.1%

N = 200  

P(the probability of getting a hit each time at bat is 0.340)= 0.34

0<= x <=60

x= number of hits.

n=total times at bat

In order to find mean, we take the product of n and p, therefore:

mean 'μ' = np = 200 x  0.34 = 68

next is to find standard deviation, i.e the square root of the product of n, p and q

where q is 1-p

SD 'σ' = sqrt(npq) = sqrt(68*0.66) = 6.6993  

applying continuity correction,

z = (x - μ) / σ    

z = (60 - 68) /6.6993 = - 1.12

For the normal standard distribution,

P(z < - 1.12) = 13.14% => 13.1%

Therefore, the probability that the player will have a bad season  is 13.1%.

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In a two-way factorial design analysis, there are two main effects tested.

A two-way factorial design involves the simultaneous manipulation of two independent variables, each with multiple levels, to study their individual and combined effects on a dependent variable. The main effects in such a design represent the effects of each independent variable independently, ignoring the influence of the other variable.

When conducting a two-way factorial design analysis, there are two main effects tested, corresponding to each independent variable. The main effect of one variable is the difference in the means across its levels, averaged over all levels of the other variable. Similarly, the main effect of the other variable is the difference in the means across its levels, averaged over all levels of the first variable.

Testing the main effects allows researchers to determine the individual impact of each independent variable on the dependent variable, providing insights into their overall influence. By analyzing the main effects, researchers can assess the significance and directionality of the effects, aiding in the interpretation of the experimental results and understanding the relationship between the independent and dependent variables in the factorial design.

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Flip a fair coin until it comes up heads. You win a payout of 2n dollars, where n is the number of flips you performed. The expected value of this game is $2.

The game you're describing involves flipping a fair coin until you get a heads. The payout is 2^n dollars, where n is the number of flips you performed.

To calculate the expected value of this game, we can consider the probability of winning at each stage and the associated payouts.

Since the coin is fair, the probability of getting a heads on the first flip is 1/2, and the payout would be 2^1 = $2. If you don't get a heads on the first flip, you have a 1/2 chance of getting a heads on the second flip, making the probability 1/2 * 1/2 = 1/4. The payout would be 2^2 = $4. We can continue this pattern for all possible outcomes.

The expected value can be calculated as the sum of the product of the probability of each outcome and its respective payout. So, the expected value (EV) would be:

EV = (1/2 * $2) + (1/4 * $4) + (1/8 * $8) + ...

This is an infinite geometric series with a common ratio of 1/2. To find the sum of an infinite geometric series, we can use the formula:

Sum = a / (1 - r),

where "a" is the first term and "r" is the common ratio. In this case, a = (1/2 * $2) = $1, and r = 1/2. Plugging these values into the formula, we get:

Sum = $1 / (1 - 1/2) = $1 / (1/2) = $2

Therefore, the expected value of this game is $2.

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Answer:

Step-by-step explanation:

Since we're given a time at which the height is maximum, we can use a cosine function for the model.

The amplitude is half the difference between the maximum and minimum: (-27 -(-44))/2 = 8.5 cm.

The mean value of the height is the average of the maximum and minimum: (-27 -44)/2 = -35.5 cm.

The period is given as 3 seconds, and the right shift is given as 1.31 seconds.

This gives us enough information to write the function as ...

  H(t) = (amplitude)×cos(2π(t -right shift)/period) + (mean height)

  H(t) = 8.5cos(2π(t -1.31)/3) -35.5 . . . . cm

Answer:

Step-by-step explanation:

D

Answer:

C

Step-by-step explanation:

I took the quiz and got it correct

The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

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Answer:

The unit rate of $10 per hour.

Step-by-step explanation:

Given

\(x = time\)

\(y = amount\)

\((x,y) = (1,10)\)

See attachment for graph

Required

What does the given point represents

From the attachment, the origin of the graph is:

\((x_1,y_1) = (0,0)\)

and we have the given point to be:

\((x_2,y_2) = (1,10)\)

Calculate the slope (m)

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

\(m = \frac{10-0}{1-0}\)

\(m = \frac{10}{1}\)

\(m = 10\)

The slope represents $10/1 hour

Hence:

\((x,y) = (1,10)\) means the unit rate is $10 per hour

Answer:

1.41 it’s a infinity answer

Step-by-step explanation:

Answer:

9/8

Step-by-step explanation:

divide 3/4 by 2/3

use the KCF method

so your gonna get 3/4 divided 2/3 then change the division to multiplcation and then flip the 2/3 to 3/2

now multiply across: 3/4 × 3/2=9/8

Answer: Yes it is

Step-by-step explanation:

Answer:

2x\(\geq\)104

Step-by-step explanation:

Total Money: 104

Maximum Dresses: 2

Max price of each dress: 52

So

2x\(\geq\)104

Linear regression forecasting is an algorithm used for identifying and predicting the future values of a dependent variable based on the independent variable.

The major restriction in linear regression forecasting is that it only takes into account the linear relationship between the dependent and independent variables.

The model assumes that the relationship between the dependent and independent variable is linear and not nonlinear. This assumption may not always be true because there might be cases where the relationship between the variables is non-linear, which can result in inaccuracies in the forecast.

The model's reliability is also based on the quality of the data used for regression analysis. If the data is incorrect, outdated, or incomplete, the accuracy of the model can be negatively affected. Another limitation is that the model assumes that the relationship between the dependent and independent variables is constant over time, which may not be true in the real world.

Also, linear regression is a parametric method that requires certain assumptions about the data, including the normality of the residuals and constant variance of the errors.Linear regression forecasts require data to be independent and unbiased and may not work well if data contains outliers or noise.

Linear regression cannot identify causality or differentiate between correlation and causality. Hence, it is recommended to use linear regression along with other techniques for better accuracy.

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The measure of the smaller angle between the hands of a 12-hour clock at 12:25 pm is 137.5 degrees.

The hour hand of a 12-hour clock completes one full rotation in 12 hours while the minute hand completes one full rotation in 60 minutes. To find the measure of the angle between the hands of a 12-hour clock at 12:25 pm, we need to calculate the relative position of the hands with respect to the 12 o'clock position.

At 12:25 pm, the minute hand is pointing to the 12.25 mark on the clock which is 25 minutes after 12 o'clock and the hour hand is pointing to the 12 o'clock mark.

The minute hand moves 360 degrees every 60 minutes, so in 25 minutes, it would have moved (360/60)*25 = 75 degrees.

The hour hand moves 360 degrees every 12 hours, so in 25 minutes, it would have moved (360/12*60)*25 = (30)*25 = 750/60 = 12.5 degrees.

The angle between the hands is the absolute difference between their positions.

the angle between the hands = |75-12.5| = 62.5 degrees

However, the clock has two hands and thus we have two angles between the hands.

Therefore, the measure of the smaller angle between the hands of a 12-hour clock at 12:25 pm is 180-62.5 = 137.5 degrees.

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Answer:

you just have to do 24 divided by 3 = 8 8-7=1

x=1

Step-by-step explanation:Equation of line perpendicular to , x=4 is

y +k=0

As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0

As, given the line perpendicular to, x =4, passes through the point (5,7).

So, y+k =0, passes through (5,7).

→ 7 +k=0

→ k= -7

So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.