Write a fraction that represents the parts
shaded red (indicated by "R") in the figure shown below.
W
R
W
W
W
w

There are approximately 720 blue balls, 1080 red balls, 360 green balls, 540 orange balls, and 900 yellow balls in the bin.

To predict how many of each color are in the bin, we can assume that the ratio of each color in the bin is the same as the ratio in the sample of 20 balls.

First, we calculate the total number of each color in the sample:

Blue: 4 balls

Red: 6 balls

Green: 2 balls

Orange: 3 balls

Yellow: 5 balls

Next, we calculate the total number of balls in the sample:

4 + 6 + 2 + 3 + 5 = 20

Now, we can set up proportions to estimate the number of each color in the bin:

Blue: (4/20) * 3600 = 720

Red: (6/20) * 3600 = 1080

Green: (2/20) * 3600 = 360

Orange: (3/20) * 3600 = 540

Yellow: (5/20) * 3600 = 900

Therefore, we predict that there are approximately 720 blue balls in the bin.

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Answer:

x = -3

Step-by-step explanation:

To solve this all we need to do is the standard "

Isolate the variable by dividing each side by factors that don't contain the variable."

Hope this helps and have a nice day!

PS if you could mark brainliest that'd be great! I'm very close to "expert" rank. Haha!

Answer:

x = -3

Step-by-step explanation:

-7x + 28 = -3x + 40

-7x + 3x = 40 - 28

-4x = 12

x = -3

I hope this helped!

Answer:

21

Step-by-step explanation:

A prime number has only two factors: 1 and itself.

A composite number has more than two factors. The number 1 is neither prime nor composite.

Answer:

B. 21

Step-by-step explanation:

31 is the only number that can be made by multiplying another number other than 1 and itself.

1x21=21

3x7=21

all the other options only have 2 factors

Answer:

Each student would get 25 sheets of paper.

Step-by-step explanation:

Mr. Perez starts out with 500 sheet.  He puts 1/4 in the printer.  That leaves 3/4 that he did not put in the printer.

3/4 x 500 = 375.

He take 2/3 of the 375 sheets and stores them.  This leaves 1/3 of 375 sheet to hand out to students.

1/3 x 375 = 125

He has 125 sheets to share among 25 students.

125/5 = 25

Answer:

65 cents

Step-by-step explanation:

5 + 1 + .30 = 6.30

6.95 - 6.30 = .65

The graph of the equations 3x + 7y < 21,  x > 0, and  y > 0 are attached

The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph

The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.

These inequalities are frequently linear and can be represented by straight line graphs.

To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.

A solid line indicates that the line is present.

The line is not included if it is dotted.

The graphs for the equation is plotted and attached

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We can use the complement rule to solve this problem, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening.

The event we're trying to find the probability of is "at least 2 of the candies have a caramel center." The complement event is "fewer than 2 of the candies have a caramel center."

To find the probability of the complement event, we need to find the probability that exactly 0 candies have a caramel center, plus the probability that exactly 1 candy has a caramel center.

The probability that exactly 0 candies have a caramel center is (2/5)^0 * (3/5)^3 = (3/5)^3

The probability that exactly 1 candy has a caramel center is 3 * (2/5) * (3/5)^2 = (18/125)

The probability of the complement event is (3/5)^3 + (18/125)

Therefore, the probability of at least 2 of the candies having a caramel center is 1 - (3/5)^3 - (18/125)

I hope this helps :)

The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

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y-(-9) = -6(x-(-4)), y = -6x-33

The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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Answer:

Step-by-step explanation:

Answer:

88/57

Step-by-step explanation:

Answer: 88:57

Step-by-step explanation:

Length is 88 and width is 57

So the ratio is 88:57

Answer:

CAN YOU PLS RATE MY QUESTION GOOD I NEED POINTS

Step-by-step explanation:

PLS!!!!!!!!❤️

Answer:

1200 millimeters an hour

Step-by-step explanation:

30 minutes = 600 millimeters

1 hour= 1200 millimeters

Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

The required value of x is 49.

A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical procedure. It is possible to multiply, divide, add, or subtract in arithmetic.

Simplifying the left side of the equation, we get:

x - (-1) = x + 1

So the equation becomes:

x + 1 = 50

Subtracting 1 from both sides, we get:

x = 49

Therefore, the value of x is 49.

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Applying the relationship of angle pairs, THE VALUE OF X AND THE GIVEN ANGLE MEASURES ARE:

Given:

m<2 = 3x - 11

m<5 = 7x + 46

Thus, find x:

<2 and <5 are same-side interior angles

m<2 + m<5 = 180 degrees (supplementary)

\(3x - 11 + 7x + 46 = 180\\\)

\(10x +35 = 180\\\\10x = 180 - 35\\\\10x = 145\\\\\mathbf{x = 14.5}\)(Blue)

Find m<5:

Plug in the value of x into 7x + 46

\(m \angle 5 = 7(14.5) + 46\\\\\mathbf{m \angle 5 = 147.5^{\circ}}\)(Yellow)

Find <4:

m<4 = m<2 (vertical angles are congruent)

m<4 = 3x - 11

m<4 = 3(14.5) - 11

m<4 = 32.5 degrees (Pink)

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Answer:

True

Step-by-step explanation:

The easiest way to understand this problem is to first breakdown the notation. In words, the problem is stating 9 is NOT an element of the set containing the elements 4, 1, 8, and 7. Since 4\(\neq\)9, 1\(\neq\)9, 8\(\neq\)9, and 7\(\neq\)9 then 9 is not an element of this set and the statement is true.

Answer:

When the function is to be reflected over the x and y-axis, we write it as a reflection of a function over x = y, so it is divided into two parts or two cases y = x and y = − x. When the graph of function is reflected over y = x, then we will swap the coordinates of the x and y-axis with each other while their signs remain the same.

Step-by-step explanation:

Answer:

$5122.04

Step-by-step explanation:

Continous interest formula:

\(P*e^{rt}\)=A

we have

\(3675*e^{4*.083}\\3675*1.39375284861\\5122.04171828\)

Which rounds to

5122.04

Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

\(z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\)

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16\)

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

Answer:

None

Step-by-step explanation:

No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.

Answer:

Inverse of  \(- 5 x - 4 =\) \(\frac{x + 4}{5}\)

Step-by-step explanation:

Let y = -5x-4

Swap y and x

x = -5y -4

Solve for y

x+4 = -5y

\(y=- \frac{x + 4}{5}\)  which is the inverse

Answer:

Step-by-step explanation:

for IV you do 40^2+30^2=c, or 1600+ 900=c. c= 2500 and unsquare that you get 50

Answer:

the ans of III is 50 and IV is12

Answer: This is true because everything in the first equation was multiplied equally to get to the second equation. Every part was multiplied by three. The first equation is x-7=3 and the second can be seen as 3(x-7=3). The three will not affect x seeing that the entire equation had the same thing done to it.

Answer:

x = 69

y = 69

Step-by-step explanation:

Since AB is parallel to CD

x = 69 ( They are alternate angles)

and

y = 180 - 111 ( Co - interior angles)

y = 69

Answer:

(3/2, 1/2)

Step-by-step explanation:

Solve by elimination:

\(x+y=2\\+x-y=1\)

The y's cancel

\(2x=3\)

Divide by 2

\(x=\frac{3}{2}\)

Plug back in

\(\frac{3}{2} +y=2\)

subtract

\(y=2-\frac{3}{2}\)

\(y=\frac{1}{2}\)

So, your answer:

\((\frac{3}{2},\frac{1}{2})\)

\(\\ \rm\longmapsto 4x-2>6x+8\)

\(\\ \rm\longmapsto 4x-6x>8+2\)

\(\\ \rm\longmapsto -2x>10\)

\(\\ \rm\longmapsto -x>5\)

\(\\ \rm\longmapsto x<-5\)

Answer:

$3

Step-by-step explanation:

40*7.5/100= Your answer

It's def not c or d, I think it's a.