Find the probability. Enter your answer as a simplified fraction.


Picking a purple marble from a jar with 15 green and 15 purple marbles.


The probability of picking a purple marble is

The number of periods of REM sleep Georgia has in the 6 hours (390 minutes) as stated in the question is 8.667 periods.

Using the standard time conversion, the number of periods is 8 hours.

To determine the number of periods of REM sleep that Georgia has, we need to divide the total number of minutes of sleep by the interval at which she falls into the REM sleep.

From the given information:

The number of periods of REM sleep she has in 390 minutes of sleep is:

= 390 minutes/ 45 minutes

= 8.667 periods.

NOTE: We have only 360 minutes in 6 hours since 60 minutes = 1 hour.

= 360 minutes/ 45 minutes = 8 periods.

Learn more about solving word problems here:

https://brainly.com/question/21405634

#SPJ1

Answer:

y = - 24

Step-by-step explanation:

[tex]y = (x - 4)(x + 6) \\ plug \: x = 0 \\ y = (0 - 4)(0 + 6) \\ y = ( - 4)(6) \\ y = - 24 \\ \purple{ \bold{ \therefore \: y - intercept = - 24}}[/tex]

Answer:

$878.5

Step-by-step explanation:

that is if the tickets for saturday & sunday are both $38.50

Answer:

7a²/16

Step-by-step explanation:

Area of the triangle PTS

½ × a × a

a²/2

Length of PS:

sqrt(a² + a²)

asqrt(2)

Length of MS:

¼asqrt(2)

Triangles MCS and TPS are similar

With sides in the ratio:

¼asqrt(2) : a

sqrt(2)/4 : 1

Area of triangle SMC:

A/(a²/2) = [(sqrt(2)/4)]²

2A/a² = 1/8

A = a²/16

Area of PTMC

= a²/2 - a²/16

= 7a²/16

Step-by-step explanation:

This is a much more interesting problem than what we usually see here.

Let's just start by assuming a=1 so we have two unit squares.

PMC and PTC are two congruent triangles, each right triangles with one leg of length 1 and a shared hypotenuse PC.

We'll put it on the grid at P(0,0), T(1,0).

Angle TPM is 45 degrees and PM=1 so

M(cos 45, sin 45) = M(1/√2, 1/√2)

MK has slope -1, thru M, so is

y = -x + √2

C's on that line at x=1, so C's x coordinate is 1, so its y coordinate is √2 - 1

C(1, √2 - 1)

OK, that's enough to compute the area.

P(0,0), T(1,0), C(1, √2 - 1), M(1/√2, 1/√2)

area(PMCT) = area(PTC) + area(PCM)= 2 area(PTC)

The area of a right triangle is half the product of its legs.

area(PMCT) = 2 (1/2) (1) ( √2 - 1)

area(PMCT) =  √2 - 1

When we have sides a, the area scales by a²,

Answer: a²(√2 - 1)

Final answer:

Using the formula y = 15(1.26)^x and setting x to 12 for the year 2006, we calculate that the predicted number of cellular phone users in that year is approximately 84 million.

Explanation:

The formula y = 15(1.26)^x is used to predict the number of cellular phone users in millions for a given year, with x representing the number of years since 1994. In this case, we want to find the predicted number of cellular phone users for the year 2006. Since 2006 is 12 years after 1994, we will set x = 12.

Plugging in this value, the equation becomes y = 15(1.26)^12. To find the answer, we must calculate 1.26 raised to the power of 12 and then multiply the result by 15.

Calculating this gives us y = 15(1.26)^12 ≈ 15 * 5.582 ≈ 83.73 million, which we round to 84 million cellular phone users.

Final answer:

The predicted number of cellular phone users in the year 2006 is 63 million.

Explanation:

To predict the number of cellular phone users in the year 2006 using the formula y = 15(1.26)^x, we need to determine the value of x that corresponds to the year 2006. We know that x = 0 corresponds to 1994, so the year 2006 would be 12 years later. Therefore, x = 12.

Substituting x = 12 into the formula, we have y = 15(1.26)^12.

Calculating this expression gives us y ≈ 63.273.

Rounding to the nearest whole number, the predicted number of cellular phone users in the year 2006 is 63 million.

The height of the building is 9x.

Speed is a measure of how quickly an object moves from one place to another. It is equal to the distance traveled divided by the time.

Given:

Time= 9s

Let the speed of penny be 'x'.

We know,

speed = distance / time

distance = speed* time

distance =  x *9

distance = 9x.

Learn more about this  Distance- time formula here:

https://brainly.com/question/13704700

#SPJ2

Answer:

2% hope it helpssss

Step-by-step explanation:

Answer:

2/8 or 1/4

Step-by-step explanation:

So pretty much you just turn the number into a fraction

The measurement which is equal to 6 kilograms is; 6,000 grams.

In measurements, ground units are sometimes supported with prefixes to express fractions or multiples of the ground units.

On this note, the ground unit grams when supported by kilo- means; 1000 grams.

Ultimately, the measurement which is equal to 6 kilograms is 6,000 grams.

Read more on kilo- measures;

https://brainly.com/question/25233428

Answer:

The answer is 56.

Step-by-step explanation:

7 * 8 = 56

Answer:

3,18

Step-by-step explanation:

The bug crawl in total of 90 feet of distance .

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular. The relation between the sides and other angles of the right triangle is the basis for trigonometry.

According to question

Ataut telephone wire extends from the top of a 40-foot tall telephone pole to a stake in the ground 9 feet away

So, according to diagram

AB= 9 feet

AC = 40 feet

BC =[tex]\sqrt{AB^{2} +AC^{2} }[/tex](Pythagoras theorem)

BC = [tex]\sqrt{9^{2} +40^{2} }[/tex]

BC=[tex]\sqrt{81 + 1600 }[/tex]

BC = [tex]\sqrt{ 1681 }[/tex]

BC= 41 feet

As bug start from the stake in the ground up the wire to the top of the

telephone pole. Then the bug crawled down to the bottom of the pole and back to the stake which means perimeter of right angle triangle.

Perimeter of triangle = AB + BC + AC

= 9 + 41 + 40

= 90 feet

Hence, the total distance travelled by bug is 90 feet .

To know more about Right angle triangle here :

https://brainly.com/question/3770177

# SPJ2

Answer:

The median of group A is less than the median of group B and greater than the median of group C.

Step-by-step explanation:

From the photo, we can find the medians of 3 groups

=> the median of group A is less than the median of group B and greater than the median of group C.

Hope it will find you well.

Correct Answer: Fill in the blanks: Answer in ( )

Group A has a median of ( 19 )

which is (LESS THAN)

Group B and (GREATER THAN GROUP C)

Group B has the (LARGEST IQR)

there is a high outlier for ( GROUP A AND GROUP C)

and a low outlier for (GROUP B)

Step-by-step explanation: That is the correct answer, hope that helped !

Answer:

Look below for answer!

Step-by-step explanation:

Hope this Helps!!!

⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇

Answer:

b)

Step-by-step explanation:

Number of ping pong balls = 8 * number of golf balls

= 8*10

= 80

Answer: all real numbers greater than zero

Step-by-step explanation: If you graph this function then you realize that the line does not ever reach 0 on the y axis but instead 'evens out' which means that any number greater than 0 will be the range of the above stated function

Answer: C. All real numbers greater than zero

Step-by-step explanation:

Answer:3x7

Step-by-step explanation:

Okay so I don’t think I can get it to you tomorrow or tomorrow if you want to know if you want

the factors of the term [tex]3 \times (7a)[/tex] are regrouped as [tex](3 \times 7) \times a[/tex]  so that by using the associative property we can simplify the multiplication process and ensure consistency in mathematical calculations.

The associative property of multiplication states that the way in which factors are grouped in a multiplication problem does not change the product. This property can be written mathematically as:

[tex](a \times b) \times c = a \times (b \times c)[/tex].

In the example, the factors 3 and 7a are initially grouped as [tex]3 \times (7a)[/tex]. Using the associative property, we regroup them as [tex](3 \times 7) \times a[/tex]. This shows that it doesn't matter how we group the numbers; the product will be the same.

For instance:
[tex]3 \times 7a = (3 \times 7) \times a = 21a[/tex]

This regrouping can make calculations simpler because it allows us to first multiply 3 and 7 to get 21 and then multiply by the variable a, rather than working directly with the expression 7a.

In the example, the factors of the term [tex]3 \times (7a)[/tex] are regrouped as [tex](3 \times 7) \times a[/tex]  so that by using the associative property we can simplify the multiplication process and ensure consistency in mathematical calculations.

Jared should buy the 10-pound bag of dog food to get the lowest price per ounce.

To determine which size bag of dog food Jared should buy to get the lowest price per ounce, we need to calculate the price per ounce for each bag size and then compare them.

First, we convert the weight of each bag from pounds to ounces, knowing that 1 pound equals 16 ounces. Then we calculate the price per ounce by dividing the price of each bag by the number of ounces it contains.

 Here are the calculations:

1. For the 5-pound bag:

 - 5 pounds * 16 ounces/pound = 80 ounces

 - Price per ounce = $4.80 / 80 ounces = $0.06 per ounce

2. For the 10-pound bag:

 - 10 pounds * 16 ounces/pound = 160 ounces

 - Price per ounce = $7.90 / 160 ounces = $0.049375 per ounce

3. For the 20-pound bag:

 - 20 pounds * 16 ounces/pound = 320 ounces

 - Price per ounce = $16.20 / 320 ounces = $0.050625 per ounce

 4. For the 50-pound bag:

 - 50 pounds * 16 ounces/pound = 800 ounces

 - Price per ounce = $40.00 / 800 ounces = $0.05 per ounce

Now, comparing the price per ounce for each bag, we find that the 10-pound bag offers the lowest price per ounce at $0.049375.

Therefore, Jared should buy the 10-pound bag of dog food to get the lowest price per ounce.

The correct answer is the 10-pound bag of dog food.

Answer:

d = 0.

Step-by-step explanation:

First, use the distributive property and distribute the 5.

The equation is now 20d + 40 = 40.

Subtract 40 from both sides to isolate the variable.

The equation is now 20d = 0.

Now you're thinking, this can't be possible! But really, 0 / 20 is possible. The answer is d = 0.

Answer:

1. is -5/7

2. is 6/-9 OR 1/-3 (negative one third)

3. is 2

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

You don't need elimination for this when you plug it in 10(-5) is equal to -50 add 5 to that to get -45

and -5(2)=-10 +5 to get -5 showing that b works

Answer:

[tex]28 cm^2[/tex]

Step-by-step explanation:

The formula for finding the area of a triangle is:

[tex]\frac{1}{2} bh[/tex]

The "b," is the base (7), and the "h," is the height (8):

[tex]\frac{1}{2} (7)(8)[/tex]

[tex]\frac{1}{2} (56)[/tex]

28

"The area of triangle [tex]IHC is $\boxed{\frac{1}{2} \times b \times h}$[/tex], where [tex]$b$[/tex] is the base of the triangle and[tex]$h$[/tex]is the height of the triangle.

To determine the area of triangle IHC, we need to know the lengths of the base and the height. The area of a triangle is given by the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]

In the case of triangle IHC, if we let b represent the length of the base IH, and h represent the length of the height from point H to side IH, then the area of triangle IHC can be calculated using these values.

Without specific numerical values for b and h, we cannot calculate a numerical area. However, if the values of b and h are provided, we can substitute them into the formula to find the area. For example, if b = 6 units and h = 4 units, then the area would be:

[tex]\[ \text{Area} = \frac{1}{2} \times 6 \times 4 = \frac{1}{2} \times 24 = 12 \][/tex]

Thus, the area of triangle IHC with a base of 6 units and a height of 4 units would be 12 square units. If the actual lengths of the base and height are different, those values should be substituted into the formula to calculate the correct area."

Answer:

Step-by-step explanation:

The figure must also have the rotational symmetry of 180/270°.

In geometry, symmetry is defined as a balanced and proportionate similarity that is found in two halves of an object. It means one-half is the mirror image of the other half. The imaginary line or axis along which you can fold a figure to obtain the symmetrical halves is called the line of symmetry.

Types of symmetries are rotational symmetry, reflection symmetry, translation symmetry, and glide reflection symmetry. These four types of symmetries are examples of different types of symmetry on a flat surface called planar symmetry.

Learn more about symmetry here: brainly.com/question/1601404

#SPJ2

Answer:

A=26.75

Step-by-step explanation:

A=1/2(2)(2)=2

A=1/2(5)(2)=5

A=1/2(2+2+5)(3.5)=15.75

A=2+5+15.75=26.75

All three sides will be equal to 21.

So that is

3 + 7 + 9 + 2 = 21,

3 + 8 + 6 + 4 = 21 and

2 + 10 + 5 + 4 = 21

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

Given

Put the Number from 2 to 10 in the circle so that the sum of the Number on each side of a triangle is the same.

        3

    7      8

  9           6

2   10     5    4

So the numbers form a triangle and assume that a circle is drawn on the numbers.

If we add the numbers all the three sides will be equal to 21.

So that is

3 + 7 + 9 + 2 = 21,

3 + 8 + 6 + 4 = 21 and

2 + 10 + 5 + 4 = 21

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Answer:

The volume of  a 3D figure can be determined by the sum of  all the cross-sections of that 3D figure parallel to the base

Step-by-step explanation:

We need to understand what a cross-section of a 3D figure ?

A cross section is the shape we get when cutting straight through an object

and in geometry it is the shape made when a solid is cut through by a plane.

=> the cross section is parallel to the base of the figure.

So that the area of the cross-section is determined by its shape

Hence, The volume of  a 3D figure can be determined by the sum of  all the cross-sections of that 3D figure parallel to the base  

The shape of a cross-section parallel to the base of a 3D figure determines its volume, as the volume is calculated by multiplying this area by the figure's height. For parallelepiped figures, the cross-sectional area is found using the magnitude of the cross product of base side vectors.

Understanding the relationship between the shape of a cross-section and the volume of a three-dimensional figure involves recognizing that for solids with parallel sides, such as a cylinder or parallelepiped, the cross-section parallel to the base will have the same shape as the base. When this cross-section is multiplied by the height of the figure, the result is the volume of that shape (V = Ah). In terms of vectors representing the base in three-dimensional space, for a parallelepiped, the cross-sectional area can be found by the magnitude of the cross product of vectors given by the sides forming the base.

Moreover, regardless of changes in length or width, as shown in Table 3, if a volume is kept constant but the shape is altered to be elongated or flattened, the shape of the cross-section parallel to the base still determines the volume through the base area times the height formula.

This is significant in various fields, including physics, engineering, and architecture, where understanding the volume and dimensions of structures and shapes is crucial.

Answer:

4 and 3 <------- That's the set I believe!

Answer:

288

Step-by-step explanation:

a = 9

b = -1

c = -8

b^2 * -4 * ( a * c )

Just filing in the numbers given above:

-1^2 * -4 * ( 9 * -8 )

1 * -4 * ( -72)

1 * + 288 = 288

Answer:B

Step-by-step explanation:

Mrs. Williams' family recycles 151.2 pounds of plastic in a year, and since 1 pound of plastic saves 7.4 yards of landfill space, their recycling efforts save approximately 1,118.88 yards of landfill space annually.

To find out how much landfill space Mrs. Williams family can save in a year, we can start by calculating how much plastic they recycle in a year. This can be done by multiplying the monthly amount by the total number of months:

12.6 (pounds per month) x 12 (months per year) = 151.2 pounds of plastic

Next, we use the fact that every pound of plastic recycled saves 7.4 yards of landfill space. So, we multiply the total pounds of plastic by the amount of space saved per pound:

151.2 (pounds of plastic) x 7.4 (yards per pound) = 1,118.88 yards

Therefore, Mrs. Williams family can save approximately 1,118.88 yards of landfill space per year by their recycling efforts.

https://brainly.com/question/35552675

#SPJ3