A bag contains 9 green marbles, 6 purple marbles, 4 red marbles, 10 blue marbles, and 7 orange marbles. One marble is randomly selected from the bag.

What is the probability that the marble selected is blue or purple?

Answer as a Fraction, not simplified.

Answer:

there is 50% of vitamins

Step-by-step explanation:

Answer:

Step-by-step explanation:

80 milligrams

Answer:

sec B = \(\frac{15}{8}\)

Step-by-step explanation:

using the identity

sec B = \(\frac{1}{cosB}\)

cos B = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{CD}\) = \(\frac{8}{15}\)

then

sec B = \(\frac{1}{\frac{8}{15} }\) = \(\frac{15}{8}\)

The area bounded by the graphs of y = x - 1, y = 0, x = 1 and x =4  is 4.5 unit square.

The area bounded by curves is given by finding the intersection point or the limits of the integral and finding the integral of the function and putting the limits.

\(A=\int\limits^a_b {f(x)} \, dx\)

Where a and b are the limits and f(x) is the function of graph.

The graph of the lines y = x - 1 , y = 0 , x = 1 and x =4 is attached below,

As seen from the graph, the upper limit is 4 and the lower limit is 1.

So, the area under the line is given by integral,

\(A=\int\limits^4_1 {x-1} \, dx \\A=[\frac{x^{2} }{2} -x]\limits^4_1\\\)

Now, putting the limits,

\(A=[\frac{4^{2} }{2} -4-(\frac{1}{2}-1) ]\\\\\\A=8-4-\frac{1}{2} +1\\\\A=4.5\)

Hence, the area bounded by the graphs is 4.5 unit square.

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The function f(x) in standard form as described in the task content is; 3x³ + 21x² - 23x + 5.

It follows from the task content that the function, f(x) which is as described is to be determined.

Since the polynomial remainder theorem postulates that;

Polynomial = (quotient × divisor) + remainder.

According to the given task content;

The quotient is; 3x² - 3x + 1.

The divisor is; (x + 8) and the remainder is; -3.

Therefore, the required polynomial is;

f(x) = (3x² - 3x + 1)(x + 8) + (-3)

= 3x³ + 24x² -3x² -24x + x + 8 - 3

= 3x³ + 21x² - 23x + 5.

Therefore, the required function, f(x) is; 3x³ + 21x² - 23x + 5.

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The answer is 1) V = \(2\pi\int\limits(2)+ {x} \, dx\); 2) V = \(2\pi \int\limits(1 - 2x) - 2x dx\); 3) V =\(2\pi \int\limits {\sqrt{2} } \, dx\) ; 4) V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) .

1) The volume of the shell is then given by the product of the area of its curved surface and its height. The height is equal to 2 - (-2) = 4, and the radius is equal to the minimum of the distances from x = 2 to the two curves, which is x = 2 - () = 2 + . The volume of the solid is then given by the definite integral:

V = \(2\pi\int\limits(2)+ {x} \, dx\) = \(2\pi [(/3) + 2x]\) evaluated from 0 to 1 = (4/3)π.

2) The height of the region is equal to  - (2x) =  -2x, and the radius is equal to the minimum of the distances from x = 1 to the two curves, which is x = 1 - (2x) = 1 - 2x. The volume of the solid is then given by:

V = \(2\pi \int\limits(1 - 2x) - 2x dx\)=\(2\pi [/5 - 2/3 + /2]\) evaluated from 0 to 1 = (8π/15).

3) The height of the region is equal to (2-x) -  = 2-x. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = The volume of the solid is then given by:

V =\(2\pi \int\limits {\sqrt{2} } \, dx\) = \(2\pi [(x^4/4)]\) evaluated from 0 to √2 = (π/2).

4) The height of the region is equal to () - (2-) = 2 - 2. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = √((2-)/2). The volume of the solid is then given by:

V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) = \(4\pi [(2/3)\± (2\sqrt{2} /3)]\)

The complete Question is:

Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the curves and lines in about the

1.  y = x, y = -x/2, and x = 2

2. y = 2x, y = x/2, and x = 1

3. y = x/2, y = 2-x, and x = 0

4. y = 2-x/2, y = x/2, and x = 0

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Answer:

46

toy have to divide 1840 ÷ 40 and your answer is 46

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

Answer: Barry's Swimwear sold a greater fraction of the bathing suits in stock as long as the store had fewer than 72 bathing suits in stock.

Step-by-step explanation:

Barry's Swimwear sold 15 out of an unknown number of bathing suits in stock, so we can express this fraction as 15/x, where x is the total number of bathing suits in stock at Barry's Swimwear. Similarly, Philip's Sun Wear sold 5 out of 72 bathing suits in stock, so we can express this fraction as 5/72.

To compare these two fractions, we need to express them with a common denominator. One way to do this is to find the least common multiple of the two denominators, which in this case is 72. To express 15/x with a denominator of 72, we can multiply both the numerator and the denominator by a factor of 72/x. This results in the fraction 15*(72/x)/72 = 15/x. Similarly, we can express 5/72 with a denominator of 72 by multiplying both the numerator and the denominator by a factor of 72/72, which results in the fraction 5*(72/72)/72 = 5/72.

Now that we have both fractions expressed with a common denominator of 72, we can compare them directly. 15/x is greater than 5/72 as long as x is less than 72. This means that Barry's Swimwear sold a greater fraction of the bathing suits in stock as long as the store had fewer than 72 bathing suits in stock.

4

Step-by-step explanation:

it half of 8 4/8 or 1/2 that how I got it

The true statement are:

A. 15m3-6m=3m(5m2-6m),

B. 40m6-4=4(10m6-1),

C. 6m2+18m=6m2(1+3m),

Therefore the correct option is A, B, C.

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The correct question is:

Which statements are true

15m3-6m=3m(5m2-6m),

40m6-4=4(10m6-1),

6m2+18m=6m2(1+3m),

32m4+12m3(8m+3)

Answer:

0.005625

Step-by-step explanation:

A graph that represents the solution set of the compound inequality is: graph D.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given compound inequality by making x the subject of formula as follows;

x + 3 < 1/2(4x - 12) < 20

Multiplying all through by 2, we have the following:

2x + 6 < 4x - 12 < 40

Next, we would solve the compound inequality in parts:

2x + 6 < 4x - 12

4x - 2x < 12 + 6

2x < 18

x < 18/2

x < 9.

4x - 12 < 40

4x < 40 + 12

4x < 52

x < 52/4

x < 13.

In conclusion, the line on a number line (graph) should be open when the inequality symbol is greater than (>) or less than (<).

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The equation representing the story 2 is equivalent to -

3(x + 6) = 24.

Given is are the mathematical word problems as stories.

According to the story 2 -

Diego has 24 ounces of juice. He pours equal amounts for each of his 3 friends, and then adds 6 more ounces for each.

Let the amount of juice poured for each friend at the start be {x}. Then, we can write it as {3x}. For six ounce more per friend, the expression will be (6 x 3). Total juice will be equal to -

3x + (6 x 3) = 24

3x + 3(6) = 24

3(x + 6) = 24

Therefore, the equation representing the story 2 is equivalent to -

3(x + 6) = 24.

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B is not true, because in the graph when x=0 y=30, and when x=3 y is not equal to 28 (that would be true if she finishes 2 homework points every 3 minutes). the final answer will be B

Answer:

7.2 qt

Step-by-step explanation:

1. Determine how much blue paint is needed in comparison to white paint

9 ÷ 5 = 1.8

For every 1 part of white paint, 1.8 times that amount of blue paint is needed.

2. Multiply the 4 qt of white paint by 1.8

4 · 1.8 = 7.2

The number of blue paints Mitch will need given the proportion of white and blue paints is 7.2qt

Given:

Blue paints = 9

White paints = 5

Ratio of blue paints to white paints = 9 : 5

Ratio of blue paints to white paints = x : 4

9 : 5 = x : 4

9/5 = x/4

cross product

9 × 4 = 5 × x

36 = 5x

x = 36/5

x = 7.2 qt

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The mean, median, and mode are;

median=77

Mean=73.33

Mode= 78, 67

This is further explained below.

Generally, The middle number in a list that is arranged from smallest to greatest is referred to as the median. On the list, the value that occurs most often is known as the mode. Therefore

median=77

Generally, In mathematics, particularly statistics, the term "mean" may refer to a number of different concepts. The purpose of each mean is to summarize a certain collection of data, often for the purpose of gaining a better understanding of the overall value of a specific data set.

A dataset's mean (also known as the arithmetic mean, which is distinct from the geometric mean) is calculated by dividing the sum of all of the values in the dataset by the total number of values in the dataset. It is the measure of central tendency that is used the most often, and it is sometimes referred to as the "average."

\(mean=\frac{\sum x}{n}\\\\Mean=\frac{78+67+98+50+67+78+67+77+78}{9}\)

Mean=73.33

Mean=73.3 in one dp

In conclusion, The mode is the number that appears the most often, or the number that stands out as having the most occurrences overall. The number 2 is the mode of the sequence 4, 2, 4, 3, 2, 2 because it appears three times, which is more than any other number in the sequence.

The mode of 78, 67, 98, 50, 67, 78, 67, 77, 78  is

Mode= 78, 67

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Answer:

\(\boxed{\tt x=20}\)

Step-by-step explanation:

~

Answer:

okay if nathan has 380 wins in 2 days that would mean debbie has 190 wins per day

Step-by-step explanation:

380 divide 2=190

Answer: 2xy • (4x - 5y)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 ((8 • (x2)) • y) -  (2•5xy2)

STEP 2:

Equation at the end of step 2:

 (23x2 • y) -  (2•5xy2)

STEP 3:

STEP 4:

Pulling out like terms

4.1     Pull out like factors :

  8x2y - 10xy2  =   2xy • (4x - 5y)

Final result :

 2xy • (4x - 5y)

To draw the median of the triangle from vertex A, the mid point of BC must be determined. The median of the vertex A is given at (-1/2, 1). See explanation below.

Recall that B = (3, 7)

and            C = (-4, -5).

Connecting D' and A gives us the median of the vertex A. See attached graph.

Recall that
A → (4, 2); and

B → (3, 7)

Hence, the Midpoint will be

\([(\frac{4+3}{2} )\), \((\frac{2+7}{2} )]\)

→  \((\frac{7}{2}, \frac{9}{2} )\)

Recall that

C → (-4, 5)

Hence,

\(\overline{C D_{2} }\) =  \(\sqrt{[(-4 -\frac{7}{2} })^{2} + (-5-\frac{9}{2} )^{2} ]\)

Simplified, the above becomes

= √(586)/2)

= 24.2074/2

= 12.1037

The length of the Median from C to AB ≈ 12

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The product of -1115 and - 35 is 39025

We have to find the product of -1115 and - 35.

This simply means we have to multiply -1115 by -35.

Recall the product of negative and negative is positive.

Hence,

- 1115 × - 35 = (- × -) (1115 × 35)

- 1115 × - 35 = 39025

Therefore, the product of -1115 and - 35 is 39025

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Answer: its 11/25. I did the test trust me-

The first quantity (45g) as 60 percentage of second (75g).

A part of whole expressed in Hundredth. Percentage is a fraction of a number out of 100%. It can be in fraction or in decimal.

To convert the given percentage value in decimal, divide the given value by 100.

For example:

1. 50% in decimal or fraction will be 50/100 = 0.5.

2. 20% in decimal or fraction will be 20/100 = 0.2.

1. Finding the total amount from which we need to find the percent.

2. Dividing the required amount to find the percentage by total amount.

3. Multiply it by 100.

For example:

1. It rained 10 of the 30 days in April.

Percentage will be 10/30 = (1/3) x 100

Percentage = 33.33%

Here, we have given that:

Total amount = 75g

Required amount for percent = 45g

Now, to find the percentage:

Percentage = 45/75

Percentage = 0.6 x 100

Percentage = 60%

Hence,

The first quantity (45g) as 60 percentage of second (75g).

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The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.

To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:

a/5 = b/3

5/a = 3/b (multiplying both sides by 5/a)

5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)

5/a = 1

Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

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Answer:

$2.40 sales tax

Total $ 62.40

Step-by-step explanation:

60 * .04 =$2.40 sales tax

Total cost is 60 + 2.40 or $ 62.40

Let's denote the three numbers A, B, and C.

Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.

Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.

Let's list the possible combinations:

These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).

Answer:

Sketch the graph of the function below, including correct signs, x-intercepts and y-

intercepts.

f(x) = (x + 2)²(x – 5)2

y

200

180

160

140

120

100

80

60

40

20

-10 9 8 7 6 5 4 3 2

1

2

3

5

6

7

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer:

x = -3, y = -14

Step-by-step explanation:

Graph it