A bag contains 15 green, 18 yellow, and 16 orange balls. One ball is randomly selected.
To the nearest percent, what is the probability of the event?
Drag and drop the correct value into the box.
P(yellow) =
31%
33%
37%
42%

The rational expression is given by:

[tex]E=\frac{2x^2-72}{5x^2-245} \\ \\ Factor \ out: \\ \\ E=\frac{2(x^2-36)}{5(x^2-49)} \\ \\ E=\frac{2(x-6)(x+36)}{5(x-7)(x+7)} : \ \ \ \ a^2-b^2=(a-b)(a+b)[/tex]

The denominator can't be zero, therefore:

[tex](x-7)(x+7)\neq 0 \\ \\ \\ Thus: \\ \\ \boxed{x\neq 7 \ and x \neq -7}[/tex]

Finally, the values of x that make the rational expression undefined are

x = 7 and x = -7

Answer:

x = 7 and x = -7

Step-by-step explanation:

Got it right on edge 2021

I got a 100.

Answer:

  12√2 ≈ 16.97

Step-by-step explanation:

Points A and B are on grid lines. The difference B-A is (2, 2), so the distance formula will tell you the length of that segment is ...

  √(2²+2²) = 2√2

The regular hexagon has 6 sides all the same length. The perimeter is the sum of those lengths, so is ...

  6 × 2√2 = 12√2 ≈ 16.97 . . . . units

Answer:

The answer is one fourth

Answer:

1/4

Step-by-step explanation:

0.25 is the same as 25/100 in simplest form that is 1/4 because you can divide both the numerator and denomenator by 25

Answer:

D.1/64

B.1 in 12

A.64%

Step-by-step explanation:

Each dial has 4 letters and only one of them is correct; the probability to choose the correct one is then 1/4. Selecting a letter in each dial is independent, then the probability of guessing the right combination in one try is 1/4 * 1/4 * 1/4 = 1/64

8% means a probability of 8/100 or an odds of 8 in 100. Dividing each term by 8 we get 8/8 = 1 in 100/8 = 12.5, which can be rounded to 1 in 12

80% means a probability of 80/100 = 0.8. Given that the 2 free-throws are independent, the probability that he makes both is 0.8*0.8 = 0.64 or 64%

Answer:

960 in  (or 80 ft)

Step-by-step explanation:

First, we should convert all of the feet measurements to inches so we have equal units of measurements:

50 ft = 600 in

5 ft 4 in = 64 in

40 in = 40 in

Now we can solve this problem with a simple proportion:

h / 600   =   64 / 40

600 * 64 = 40h

38400 = 40h

960 in = h

***also h = 80 ft

By setting up a proportion of corresponding sides from similar triangles, we find that the flagpole's height is roughly 80 feet.

This is a problem of similar triangles. The flagpole and its shadow form one triangle, and the woman and her shadow form a smaller, similar triangle. Since the triangles are similar, the ratio of corresponding sides should be equal. In this case, we have:

height of the flagpole / shadow of the flagpole = height of the woman / shadow of the woman

We can plug the provided values into this equation:

height of the flagpole / 50 feet = 5.33 feet / 3.33 feet

To solve for the height of the flagpole, we cross-multiply and divide, giving us:

height of the flagpole = (5.33 feet / 3.33 feet) * 50 feet

Following that logic, the height of the flagpole is approximately 80 feet tall.

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Answer:

34 in 40

Step-by-step explanation:

6 in 40 is the probability of winning, so

34 in 40 is the probability of not winning.

simply do 40 - 6.

This answer can also be written as

[tex] \frac{34}{40} [/tex]

or 85%

The probability of not winning a bottle cap is 34/40.

Probability is a field in mathematics that deals with the possibility of how an event is likely to occur or true.

The probability of not winning = 34/40

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Answer:

197

Step-by-step explanation:

kk here we go

find the area of each side so:

5 x 5 = 25

5 x 5 = 25

9 x 5 = 45

6.4 x 5 = 32

trapezoid = 5 + 9 = 14

and then divide that 14 by 2 which is 7. multiply by height which is 5 again

that equals 35

double that bc there are 2 trapezoids = 70

add all together

197

there ya go:)

Answer:

A/15=5

so multiply 15*5

you would get 75

therefore a=75

Step-by-step explanation:

Step-by-step explanation:

a/15=5

rearrange to find a

a=15*5

so 15*5 is 75

a=75

Answer:

15

Step-by-step explanation:

Mean value of the set = 4+10+14+18+22+22/6

= 15

By adding the mean value to a set, its mean wouldnt change. Therefore, 15 should be added to the set

Answer: X=20-0.75(10+2)

Please mark brainliest!

Step-by-step explanation:

It would be B x=20-0.75(10+2)

because 20 is the amount of the gift card and 0.75 is the percent you will be paying so you subtract the total of 10 and 2 and subtract from 20 and thats the amount you have left!

Answer:

b. x = 20 – 0.75(10 + 2)

Step-by-step explanation:

I just know

--

Brianna Edwards

e d g e n u i t y things

Thanks and remember to always vote brainliest

Answer:

diagonal =  53 cm

Step-by-step explanation:

(diagonal)² = (length)²+ (width)²

                  = (45)² + 28²

                 = 2025 + 784 =2809

diagonal = √2809 =√53*53 = 53 cm

Answer:53

Step-by-step explanation:

Final answer:

An equivalent expression to 56m+21n is found by factoring out the greatest common divisor, which is 7, resulting in the simplified expression 7(8m + 3n).

Explanation:

The question asks for an equivalent expression to 56m+21n. To find an equivalent expression, we look for common factors that both terms in the expression have. In this case, both 56 and 21 are divisible by 7. Therefore, we can factor out 7 from both terms to simplify the expression.

The factored form of the expression is:

7(8m + 3n)

This shows that 7(8m + 3n) is an equivalent expression to 56m+21n, simplifying the original expression by finding common factors.

Answer:

475 cm^2

Step-by-step explanation:

Base: 6 × 17 = 102

Left-most face: 6 × 11 = 66

Top face: 6 × 20 = 120

Front/Back faces: 11 × 17 = 187

Add: 102 + 66 + 120 + 187 = 475

Answer:

Part A) [tex]W(t)=18.2(1.012)^t[/tex]

Part B) [tex]L(t)=28.5(1.008)^t[/tex]

Part C) [tex]A(t)=518.7(1.020096)^t[/tex]

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

[tex]y=a(1+r)^x[/tex]

where

a is the initial value

r is the rate of change

Part A) Create functions to model :

The width of the island over time, w(t)

we have

[tex]W(t)=a(1+r)^t\\[/tex]

where

[tex]a=18.2\ km\\r=1.2\%=1.2/100=0.012[/tex]

substitute

[tex]W(t)=18.2(1+0.012)^t[/tex]

[tex]W(t)=18.2(1.012)^t[/tex]

Part B) Create functions to model :

The length of the island over time, l(t)

we have

[tex]L(t)=a(1+r)^t\\[/tex]

where

[tex]a=28.5\ km\\r=0.8\%=0.8/100=0.008[/tex]

substitute

[tex]L(t)=28.5(1+0.008)^t[/tex]

[tex]L(t)=28.5(1.008)^t[/tex]

Part C) Create functions to model :

The area of the island over time, a(t)

we have

[tex]W(t)=18.2(1.012)^t[/tex]

[tex]L(t)=28.5(1.008)^t[/tex]

Remember that the area of a rectangle is given by

[tex]A=LW[/tex]

substitute the given values

[tex]A(t)=(28.5(1.008)^t)(18.2(1.012)^t)[/tex]

[tex]A(t)=(28.5*18.2)(1.008*1.012)^t)[/tex]

[tex]A(t)=518.7(1.020096)^t[/tex]

Answer:

Here's the answer ;)

Answer:

it took Cyclone 6 hours in handing the bottles

Step-by-step explanation:

If cyclone had 10 bottles left after handing 40 bottles per hour = 250 - 10 = 240bottles

which means cyclone handed 240 bottles.

Therefore, if he handed 40bottle each hour and 240 bottles were handed all through. So the amount of hours cyclone used in handing the bottles will be 240 / 40 = 6 hours

Answer:

a,c,e

Step-by-step explanation:

Correct me if I'm wrong!

Thank you

Tisa B Sora

The possible side lengths are:

3, 14, and √205

19, 180, and 181

Options A and C are the correct answer.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

In a right triangle:

The square of the hypotenuse is equal to the sum of the other two sides.

Now,

We can apply the Pythagorean theorem in each case:

1)

3, 14, and √205

Hypotenuse² = 3² + 14²

Hypotenuse² = 9 + 169

Hypotenuse² = 205

Hypotenuse = √205

True.

2)

6, 11, and √158  

Hypotenuse² = 6² + 11²

Hypotenuse² = 36 + 121

Hypotenuse² = 157

Hypotenuse = √157

Not possible

3)

19, 180, and 181

181² = 180² + 19²

181² - 180² = 19²

32761 - 32400 = 361

361 = 361

True.

4)

3, 19, and √380

Hypotenuse² = 3² + 19²

Hypotenuse² = 9 + 361

Hypotenuse² = 370

Hypotenuse = √370

Not possible

5)
2, 9, and 85

Hypotenuse² = 2² + 9²

Hypotenuse² = 4 + 81

Hypotenuse² = 85

Hypotenuse = √85

Not possible

Thus,

3, 14, and √205

19, 180, and 181 are possible side lengths.

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Answer:

Hello there!

So, your question is

"something + something = 48"

and

"something * something = -40"

Since you didn't really give that much specific details, and you could correct me on this later, I'd say for the first one it's

47 + 1 = 48

As for the second one, it could be

-5 * 8 = - 40

OR

5 * -8 = -40

both ways are correct.

Step-by-step explanation:

Hope this helps! If you have more instructions on this question, please let me know! Instructions are very important for MATH, cause even I mess up if the instructions are not clear. :)

- immaback2x

Answer:

Hi

Step-by-step explanation:

Answer:

y = 2x^2 + 16x + 11

Step-by-step explanation:

2(x + 4)^2 - 21

2(x + 4)(x + 4) - 21

2(x^2 + 8x + 16) - 21

2x^2 + 16x + 32 - 21

2x^2 + 16x + 11

Answer:

y = 2x^2 + 16x + 11

the other answer explains it much better

Answer: it is important to keep both side of the equation balance while solving because, an equality sign is used which means, the right hand side is equal to the left hand side, and if the equation isn't balance we won't be able to get the correct answer for the missing variable.

We use greater than (>), less than (<) and greater than and equal to=> and less than and equal to <=

Step-by-step explanation:

Answer:

you would start off with putting 520 over 100 and then you would simplify it down and it becomes 26/5

Answer:

56h+18

Distribute the 7 inside the paranthesis

Answer:

x=-5

Step-by-step explanation:

slope=m=11/4

(x, - 7) x1 =x, y1 =-7

(-1,4) x2=-1, y2 =4

m=(y2-y1) /(x2-x1)

m=(4-(-7))/(-1-x)

11/4=(4+7)/(-1-x)

11/4=11/(-1-x)

then 4=-1-x,

-x=4+1

-x=5

x=-5

Answer:

y= -2x + 4

Step-by-step explanation:

-2 - 4 = -6

3 - 0 = 3

-6 ÷ 3 = -2

-2x is the slope.

3 × -2 = -6

-2 - -6 = 4

4 is the y intercept

A prism would beat a sphere in a competition because a prism has more sides and angles to outmaneuver the sphere, which is a single-sided shape with no angles.

To understand the riddle, one must consider the properties of both a prism and a sphere. A prism is a polyhedron with two congruent and parallel faces (called bases), and its sides are parallelograms.

The number of sides a prism has depends on the shape of its base. For example, a triangular prism has five faces (two triangular bases and three rectangular sides), while a hexagonal prism has eight faces (two hexagonal bases and six rectangular sides).

On the other hand, a sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a ball (viz., the geometric object consisting of all points in three-dimensional space at a distance r from a central point). Unlike a prism, a sphere has no edges or vertices, and it has only one surface with no sides.

In a competition where maneuverability and the ability to approach from different angles are advantageous, a prism would have more options to outmaneuver a sphere. A prism can present multiple faces to the sphere, potentially confusing or disorienting it, while the sphere, being uniform in all directions, has no such advantage. The prism's angles and edges could also be used strategically to deflect or redirect the sphere, giving the prism a competitive edge.

Therefore, the riddle plays on the geometric properties of the two shapes to suggest that in a hypothetical competition, the prism's multiple faces and angles would allow it to outperform the sphere, which has a single continuous surface and no angles to leverage.

Answer:

$38.40 new price.   Usual coupons give 20% only off the sale price if this is the case for the backpack you would need to show both answers one of 50% if both coupons allowed. Second workings would be your answer 30% of $60 = $18 and 20% further =$3.60 $18+$3.60= $21.60 full 20% discount on store 30% discount.

Therefore you can see $60-21.60 = $38.40 new price.

This is $21.60 discount and appears to be 36.8%

Step-by-step explanation:

Answer:

The best is  f(x) = (x + 3)(x − 3)(x + 1).

Step-by-step explanation:

The coefficient of x^3 will be positive because of where the graph rises and falls.

As one of the x intercepts is negative  3 one of the factors will be (x + 3).

By the same reasoning the other 2 factors will be (x - 3) and (x + 1).

Answer:

D is correct!

Step-by-step explanation:

I am with the same program.

Answer:

I guess cuz... when u have same signs u add and keep..and if different signs u subtract.. and u keep the number of the bigger number

Adding two negative fractions follows the same principle as adding two negative integers: simply add the absolute values and apply a negative sign to the result. Understanding the basic rules of addition such as 'minus a minus makes a plus' helps with this process. This principle is consistent across various types of numbers, including complex numbers and vectors.

Adding two negative fractions is similar to adding two negative integers because in both cases, the sum will also be negative. Just like adding negative integers, when adding negative fractions, one simply adds the absolute values of the numerators while keeping the common denominator and then assigns a negative sign to the result. For instance, adding −½ and −¼, first find a common denominator (let's say 4), which turns the fractions into −1/4 and −2/4, then add the numerators to get −3/4, maintaining the negative sign.

Understanding the basic rules of number operations, such as the fact that when two positive numbers add, the sum has a positive sign, and when two negative numbers add, the sum has a negative sign, assists our intuition in addressing both negative integers and negative fractions. Similarly, subtraction of fractions follows the same principle as integers: by changing the sign of the number to be subtracted and then adding as per the normal rules.

The same principles used for addition of integers apply to the addition of negative fractions, showing that basic arithmetic operations are consistent across different types of numbers. This consistency extends beyond integers and fractions, as observed in complex numbers and vector addition, which also follow similar addition rules by combining the respective parts separately.

Step-by-step explanation:

[tex]35\% \: of \: 40 \\ = \frac{35}{100} \times 40 \\ = 3.5 \times 4 \\ = 14[/tex]

Hence 14 students prefer American food.

Option B is the correct answer.

Answer:

part A) see the explanation

part B) The population in 25 years since 1970 will be one million seven hundred thousand people (1,700,000)

Step-by-step explanation:

The correct equation is

[tex]P(t)=54t+350[/tex]

Part A) what are t values when it is 1985 and 1990.

we have

[tex]P(t)=54t+350[/tex]

This is the linear equation in slope intercept form

[tex]m=54\\b=350[/tex]

where

P(t) ----> is the population, in thousands

t ---->  the time, in  years, since 1970

Remember that

t = 0 for 1970

so

For the year 1985

[tex]t=1985-1970=15\ years[/tex]

For the year 1990

[tex]t=1990-1970=205\ years[/tex]

Part B) what is p(t), when t=25?

For t=25 years

substitute the value of t in the linear equation

[tex]P(t)=54(25)+350=1,700[/tex]

Remember that the population is in thousands

That means

The population in 25 years since 1970 will be one million seven hundred thousand people (1,700,000)

To find the measure of angle BAC in the given right triangle ABC, we can use the trigonometric function sine.

To find the measure of angle BAC in the given right triangle ABC, we can use the trigonometric function sine. The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we know that the length of the side opposite angle BAC is 6.9 centimeters and the length of the hypotenuse is 12 centimeters. Therefore, we can use the equation sin(BAC) = opposite/hypotenuse to find the measure of angle BAC.

sin(BAC) = 6.9/12

BAC ≈ sin-1(6.9/12)

Using a calculator, we can find that BAC ≈ 33.24°.

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