PLEASE HELP ASAPPPP PLEASE

Answer:

70

Step-by-step explanation:

We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.

This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.

Answer:

That would be :

4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

PROOF:        y + 5x = x² + 10

                    (4x - 10) + 5x = x² + 10

                     4x - 10  =  x² -5x + 10

   0 = x2 – 9x + 20  (liked terms are grouped and simplified)

PROOF:      4x - 10  =  x² -5x + 10

                  4x = x² -5x + 10 + 10

                   0  = x² -5x -4x + 20

                   0  = x² - 9x + 20

Solving:

            x² - 9x + 20 = 0

            x² - 5x - 4x + 20 = 0

            (x - 5) (x - 4)  = 0

         ⇒ x = 4  (as question says) OR x = 5

Step-by-step explanation:

hope this helps

Answer:

D,E

Step-by-step explanation:

The given bounded region is the set

\(R = \left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^4 \le y \le x^{1/4} \right\}\)

assuming the curves are \(y=x^4\) and \(x=y^4\implies y=x^{1/4}\) (since \(x>0\) in the first quadrant).

The coordinates of the centroid are \((\bar x, \bar y)\) where \(\bar x\) and \(\bar y\) are the average values of \(x\) and \(y\), respectively, over the region \(R\). These are given by the ratios

\(\bar x = \dfrac{\displaystyle \iint_R x \, dA}{\displaystyle \iint_R dA} \text{ and } \bar y = \dfrac{\displaystyle \iint_R y\,dA}{\displaystyle \iint_R dA}\)

Compute the area of \(R\).

\(\displaystyle \iint_R dA = \int_0^1 \int_{x^4}^{x^{1/4}} dy \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \frac45 - \frac15 = \frac35\)

Integrate \(x\) and \(y\) over \(R\).

\(\displaystyle \iint_R x \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} x \, dy \, dx \\\\ ~~~~~~~~ = \int_0^1 x \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{5/4} - x^5\right) \, dx \\\\ ~~~~~~~~ = \frac49 - \frac16 = \frac5{18}\)

\(\displaystyle \iint_R y \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left((x^{1/4})^2 - (x^4)^2\right) \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left(x^{1/2} - x^8\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(\frac23 - \frac19\right) = \frac5{18}\)

Then the centroid's coordinates are

\(\bar x = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}} \approx 0.463\)

\(\bar y = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}}\)

The total number of $12 tickets are 120 while the $15 tickets are 180.

In addition to using operational signs, algebraic expressions also include numbers and variables. Examples include multiplication, multiplication with the natural exponent, division, and addition, subtraction, and exponentiation. The term "fractional expression" refers to division in an algebraic expression with variables.

The term "rational numbers" refers to numbers that can be expressed as fractions. Integers, repeating decimals, and terminating decimals are a few examples.

Given that x stands for $12 tickets and y stands for $15 given as the equation

12x + 15y = 4140

x + y = 300

y = 300 - x

Substitute the value of y in the first equation

12x + 15(300 - x) = 4140

12 x + 4500 - 15x = 4140

12x - 15x = 4140 - 4500

-3x = −360

x = 360/3

x = 120

y = 300 - (120)

y = 180

Thus, The total number of $12 tickets are 120 while the $15 tickets are 180.

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The probability of the sum of the two recorded numbers being less than 4 is $\frac{3}{4}$.

Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event will not occur and 1 means the event will occur. Probability is used in mathematics, statistics, and other sciences to measure the chances of a certain outcome. Probability is also used in gambling and other forms of betting to determine the likelihood of a certain outcome occurring.
This is because there are three possible scenarios in which the sum of the two numbers can be less than 4:

1) both numbers are 1 (probability of $\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$)

2) one number is 1 and the other is 2 (probability of $\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$).

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The probability of the sum of the two recorded numbers being less than 4 is \(\frac{3}{4}\).

Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event will not occur and 1 means the event will occur. Probability is used in mathematics, statistics, and other sciences to measure the chances of a certain outcome. Probability is also used in gambling and other forms of betting to determine the likelihood of a certain outcome occurring.

This is because there are three possible scenarios in which the sum of the two numbers can be less than 4.

1) both numbers are 1 (probability of \(\frac{1}{4}\) × \(\frac{1}{4} = \frac{1}{16}\))

2) one number is 1 and the other is 2 (probability of \(\frac{1}{4}\) × \(\frac{1}{4} =\) \(\frac{1}{16}\))

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The CD is £2.04 cheaper when bought in the US compared to London. This is found using the unit conversion of  the US price from dollars to pounds.

The CD is cheaper in the US when bought in British money because the exchange rate between the British pound (£) and the US dollar ($) makes the US price lower.

To determine how much cheaper the CD is in British money, we need to convert the US price from dollars to pounds using the exchange rate. Let's assume the exchange rate is 1 pound = 1.30 dollars.

First, we need to convert the US price from dollars to pounds:
$9.70 * 1 pound / 1.30 dollars = £7.46 (rounded to two decimal places)

Now, we can calculate the difference in price between London and Chicago:
£9.50 - £7.46 = £2.04 (rounded to two decimal places)

Therefore, the CD is £2.04 cheaper when bought in the US compared to London.

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Answer:

56 questions.

Step-by-step explanation:

percent got wrong = 100% - percent got correct.

percent got correct = 72%

percent got wrong = 100%-72% = 28% or 0.28

questions got wrong = total questions * percent got wrong.

total questions = 200

questions got wrong = 200*0.28 = 56 questions

Therefore, Sophie got 56 questions wrong.

Hope this helps!

Please mark as brainliest!

Answer:

$3.70 honestly just divide lol

Answer: y=-4x-13

Step-by-step explanation:

To find the parallel line, we know that the slope must stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST be the same. All we have to do is to find the y-intercept by plugging in the given point.

-5=-4(-2)+b           [multiply]

-5=8+b                  [subtract both sides by 8]

b=-13

Now, we know that the equation is y=-4x-13.

The number of intersections of the graphs of the given equations is 0.

To determine the number of intersections of the graphs of the equations:

1. One-halfx + 5y = 6

2. 3x - 30y = 36

We can convert the equations to slope-intercept form (y = mx + b) by isolating y:

1. \(\frac12\\\)x + 5y = 6

  5y = -\(\frac12\\\)x + 6

  y = (-1/10)x + 6/5

2. 3x - 30y = 36

  -30y = -3x + 36

  y = (1/10)x - 36/30

  y = (1/10)x - 6/5

Now, we can observe that both equations have the same slope, which is 1/10, but they have different y-intercepts (6/5 and -6/5).

Since the slopes are the same but the y-intercepts are different, the two lines are parallel.

Parallel lines do not intersect,

so the graphs of these equations have no intersection points.

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Answer:

A or none

Step-by-step explanation:

edge

Answer:

I believe the correct answer is C.

Step-by-step explanation:

When you put it in simplest firm they equal the same ratio:

1/5

Answer:

208

Step-by-step explanation:

There are 5 weekdays in a week and 2 weekend days. Since there are 4 weeks, multiply 5 times 4 to get 20 weekdays/month, and 2 times 4 to get 8 weekend days/month. 20 times 8 (the hours she sleeps) is 160 hours, and 8 times 6 is 48 hours. Put together, you get 208 total hours.

Answer:

525

Step-by-step explanation:

140/4=35 words per minute (wpm)

35*15=525 words in 15 minutes

Answer:

f(x) = 1/3x + 1

Step-by-step explanation:

slope-intercept form is

f(x) = mx + b

so just put the points in and you have:

f(x) = 1/3x + 1

also b stands for the y-intercept so if you look at your point (9,1) than your y-intercept would be 1.

hope I could help!!

the answer is 6 miles per hour.

btw Bobby is faster since bobby is traveling at 7 miles per hour.

hope this helps!

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Explanation:

Adding an even number to an odd number always results in an odd number

even + odd = odd

odd + even = odd

So if 'a' is odd, adding 2 onto it (even number), leads to an odd result of a+2.

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

Extra Information (optional section)

If you are curious why the two equations shown above are true, then here's a proof.

Let 'a' be an odd number. This means a = 2k+1 for some integer k. We add 1 to any multiple of 2 and it goes from even (2k) to odd (2k+1).

If we made b an even number, then b = 2m for some integer m.

Adding 'a' and b gives us...

c = a + b

c = ( a ) + ( b )

c = ( 2k+1 ) + ( 2m )

c = (2k+2m) + 1

c = 2(k+m) + 1

c = 2n + 1 .... where n = k+m

The result a+b is an odd number since it is in the form 2*(integer)+1

It verifies the claim that odd+even = odd.

So this shows that a+2 is also odd, since we let b = 2.

The sales on which Joyce earns commission is the sale beyond $20,000 which is $2,650. So the total pay for a month for Joyce in which her sales is $22,650 is $1748.75.

Joyce is paid $1,550 per month plus a commission of 7.5% on all sales of more than a $20,000 monthly quota. For the given month her sales is $22,650.

Percentage means a number or a ratio represented in the form of fractions of 100. It is represented using the percentage sign ‘%’. The abbreviations used to represent the percentage are ‘pct’ or ‘pc’. In other words, the percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100.

Total pay of Joyce = Her pay per month + Commission that she gets

Commission she gets is on the sales beyond $20,000.

Here, commission is on $22,650 - $20,000 = $2,650

She gets 7.5% commission. So, her commission is 7.5% * $2,650

=> 75/1000 * $2,650 = $198.75

So, the total pay of Joyce is $1,550 + $198.75

=> $1748.75 for the month.

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a) To find the elements of the set \(XY\), we need to concatenate each element of \(X\) with each element of \(Y\  b) To list the elements of \(X^*\) of length 4 or less, we need to consider all possible combinations of elements from \(X\) with repetition.

Since the maximum length is 4, we can have elements with lengths 1, 2, 3, or 4. The elements of \(X^*\) are:

where ε represents the empty string.

c) To provide a regular expression for \(X^*\), we can represent the elements of \(X^*\) using the alternation operator \(+\). The regular expression for \(X^*\) is:

This regular expression matches any combination of elements from \(X\) including the empty string.

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Value of 3 = 3/10

Value of 5 = 5/100

Value of 8 = 8/1000

Hope that this was helpful :)

Answer:

3 - tenths

5 - hundreds

8 - thousands

Step-by-step explanation:

When swerving, there are a number of factors that come into play, including traction, lean, load triangle, and being upright. Swerving in a straight line can be relatively easy, as the rider only needs to make minor adjustments to maintain balance.

When comparing swerving in a straight line to swerving in a curve, the key differences involve traction and maintaining an appropriate lean angle.
Swerving in a curve requires more traction than swerving in a straight line. Traction is essential for maintaining control of your vehicle, especially when navigating curves. As you swerve in a curve, your tires need to have a good grip on the road surface to prevent skidding or losing control.
Additionally, managing lean angles is more critical when swerving in a curve. To maintain balance and control, you must avoid leaning too much, as it can cause the vehicle to tip over or slide out. In a curve, the lean angle needs to be adjusted appropriately to match the curve's radius, while also considering your speed and road conditions.
In summary, swerving in a curve requires more traction and careful management of lean angles compared to swerving in a straight line. The load triangle and keeping the vehicle upright are important, but they are not the primary factors that make swerving in a curve more challenging than swerving in a straight line.

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Answer: 1 1 3 8

Step-by-step explanation: Hope This Helps :)

The solution of the inequality will be,

⇒ \(\left \{ {{x < 4} \atop {x \leq 12}} \right. \\\\\)

The solution on the number line is shown in image.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

5x - 2 < 18

5x - 2 ≤ 58

Now, Solve the inequality for x as;

\(\left \{ {{5x - 2 < 18} \atop {5x - 2 \leq 58}} \right. \\\\\)

Add 2 both sides;

\(\left \{ {{5x - 2 + 2 < 18 + 2} \atop {5x - 2 + 2\leq 58+ 2}} \right. \\\\\)

\(\left \{ {{5x < 20} \atop {5x \leq 60}} \right. \\\\\)

Divide by 5 both sides;

\(\left \{ {{x < 4} \atop {x \leq 12}} \right. \\\\\)

Thus, The solution of the inequality for x is;

\(\left \{ {{x < 4} \atop {x \leq 12}} \right. \\\\\)

The solution on the number line is shown in image.

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Algebraic expressions are mathematical statements made up of variables, constants, and operations, which can be simplified to -17x²+4x+5.

Given expression: -10x²+4x-7x²+5.A mathematical statement made up of variables, constants, and mathematical operations is known as an algebraic expression. It stands for a mixture of numbers and letters, where the letters are called variables and they can have various values. In algebra, relationships are represented and calculations are done using algebraic expressions.

The given expression can be simplified as:

Adding the like terms together,

we get,-10x²-7x²+4x+5

= -17x²+4x+5

Thus, the simplified expression is -17x²+4x+5.

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First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

The slope would be 3/4

Answer:

2/3

Step-by-step explanation:

hope you help make me brainist

Answer:

For every 7 students in 8th grade, there are 3 students in 6th grade.

I hope I'm right.

The unit rate of water dropped per day is \($\frac{12}{5}$\) gallons per day.

We can start by finding the unit rate of water dropped per hour.

If the sink drips \($\frac{2}{5}$\) gallon of water in 4 hours, then it drips \(\frac{1}{5}$\) gallon of water in 2 hours (since \((\frac{2}{4} = \frac{1}{2}$).\)

The unit rate of water dropped per hour is:

\($\frac{1/5}{2} = \frac{1}{10}$\) gallon per hour.

To find the unit rate of water dropped per day, we can multiply the unit rate per hour by the number of hours in a day:

\($\frac{1}{10} \text{ gallon per hour} \cdot 24 \text{ hours per day} = \frac{12}{5} \text{ gallons per day}$\)

Therefore, the unit rate of water dropped per day is \($\frac{12}{5}$\) gallons per day.

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The unit rate of water dropped per day is 12/5 gallons.

To find the unit rate of water dropped per day for a sink that drips 2/5 gallons of water in 4 hours, we'll follow these

steps:

Determine how many gallons of water are dripped in one hour.

Calculate the gallons of water dripped in 24 hours (one day).

Calculate gallons per hour.

Since the sink drips 2/5 gallons in 4 hours, we'll divide the gallons by the number of hours:

(2/5) / 4 = (2/5) × (1/4) = 2/20 = 1/10

So, the sink drips 1/10 gallons per hour.

Calculate gallons per day.

Now, we'll multiply the gallons per hour by 24 hours to find the gallons per day:

(1/10) × 24 = 24/10 = 12/5

The unit rate of water dropped per day is 12/5 gallons.

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The number of different ways in which no song is liked by all three and there is at least one song liked by those two girls but disliked by the third is (b) 132 ways.

Let the song that is liked by Amy and Beth (but not Jo), Beth and Jo (but not Amy), and Amy and Jo (but not Beth), be denoted as : AB, BJ, and AJ.

Similarly, let the letters "A, B, J, and N" denote the song that is liked by only Amy, only Beth, only Jo, and none of them, respectively.

We know that there is at least 1 AB, BJ, and AJ, there must be 3 songs out of 4 songs which Amy, Beth, and Jo listened to.

The fourth song can be of any type : N, A, B, J, AB, BJ, and AJ (there is no ABJ because "no-song" is liked by all three),

So, we must find the number of ways to rearrange AB, BJ, AJ and a song from the set {N, A, B, J, AB, BJ, AJ}.

⇒ Case 1: Fourth song choices = N, A, B, J

All the four of choices for fourth song are different from the first 3 songs.

⇒ Number of ways to rearrange = 4! × 4 choices = 96.

⇒ Case 2: Fourth song choices = AB, BJ, AJ

All 3 of choices for fourth song repeat in the first three songs.

So, Number of ways to rearrange = (4!/2!) × 3 = 36,

So, total number of ways = 96 + 36 = 132.

Therefore, the required number of ways of arrangement is 132 ways, the correct option is (b).

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The given question is incomplete, the complete question is

Amy, Beth, and Jo listen to four different songs and discuss which ones they like. no song is liked by all three. furthermore, for each of the three pairs of the girls, there is at least one song liked by those two girls but disliked by the third. in how many different ways is this possible?

(a) 108

(b) 132

(c) 671

(d) 846

(e) 1105

The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

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Answer:

…………………………………………/,,/,,..,,.,…….

Step-by-step explanation:

Answer:.

Step-by-step explanation: .

\(5(1.5)=\boxed{7.5 \text{ yd}}\)

The length of the curved border or arc is 7.5 yards.

the length of the arc = \(\theta \times r\)

given that \(\theta\) = 1.5 radian

radius = 5 yards

then the length of arc from the above formula

\(l = \theta \times r\\l = 1.5 \times 5 = 7.5\) yards

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