6^{2} + b^{2} = 8^{2}

Answer:

  1 : 4

Step-by-step explanation:

You want the odds in favor of an event with a probability of 1/5.

The odds in favor of an event with probability p are ...

  p : (1 -p)

Here, that is ...

  1/5 : (1 -1/5) = (1/5) : (4/5) = 1 : 4

The odds in favor of choosing a red marble are 1 : 4.

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Answer:

Therefore, the residents of Somerville used their cell phones for approximately 8,930 minutes last year.

Step-by-step explanation:

To find out how many minutes the residents of Somerville used their cell phones last year, we can use the information given that this year's cell phone usage is 30% more than last year's.

Let's assume the cell phone usage last year was represented by the variable "x" (in minutes).

According to the information given, this year's cell phone usage is 30% more than last year's, so we can express this as:

x + 0.3x = 11609

Combining like terms, we have:

1.3x = 11609

To isolate the variable, we divide both sides of the equation by 1.3:

x = 11609 / 1.3

Simplifying the calculation, we find:

x ≈ 8930

Answer:

Therefore, the residents of Somerville used their cell phones for approximately 8,930 minutes last year.

Step-by-step explanation:

To find out how many minutes the residents of Somerville used their cell phones last year, we can use the information given that this year's cell phone usage is 30% more than last year's.

Let's assume the cell phone usage last year was represented by the variable "x" (in minutes).

Answer: Please refer below mentioned explanation.

Step-by-step explanation:

Part A:

For Bay Side School: To find the median, we arrange the data in ascending order: 0, 0, 2, 3, 4, 5, 5, 5, 6, 6, 8, 8, 8 There are 13 data points, so the median is the 7th value, which is 5.

To find the mean, we sum up all the data points and divide by the number of data points: Mean = (0 + 0 + 2 + 3 + 4 + 5 + 5 + 5 + 6 + 6 + 8 + 8 + 8) / 13 = 66 / 13 ≈ 5.08

For Seaside School: To find the median, we arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 5, 5, 5, 6, 7, 7, 8, 8 There are 15 data points, so the median is the 8th value, which is 5.

To find the mean, we sum up all the data points and divide by the number of data points: Mean = (0 + 0 + 0 + 1 + 1 + 2 + 2 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8) / 15 = 57 / 15 ≈ 3.80

Part B:

For Bay Side School: Range = Maximum value - Minimum value = 8 - 0 = 8

For Seaside School: Range = Maximum value - Minimum value = 8 - 0 = 8

Part C:

Based on the measures of the center, Bay Side School has a higher mean and median compared to Seaside School. This suggests that, on average, Bay Side School tends to have larger class sizes than Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice. Additionally, both schools have the same range of 8, indicating that the spread of class sizes is similar between the two schools.

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Answer:

0.99

Step-by-step explanation:

To find the experimental probability, divide the number of can openers that passed inspection by the total number of can openers in the batch:

Passed inspection: [tex]19,354 -253=19.101[/tex]
Experimental probability: [tex]19,101[/tex]÷[tex]19,354=0.987[/tex]
Which rounded to the nearest hundredth is 0.99

Explanation:

hope it's correct

Answer:

y=x+32

Step-by-step explanation:

The initial value is the y-value when the x-value equals zero. In this case, the initial value is 32. In the equation y=mx+b, the initial value is the "b."

The slope is going to be the y-value divided by the x-value.

Count how many numbers to x-value goes up or down. In this case, it's positive 1. Count how many numbers the y-value goes up or down. In this case, it's also positive 1.

Now, divide the y-value by the x-value. It's 1/1, which equals 1.

So, that means that y=x+32 is the answer.

Answer:

C: 0.8×10^1

Step-by-step explanation:

Im 99.9% sure this is right!

STOMP IF I'M WRONG

have a good day/night!

Answer:

3.311 ×10⁵ miles

Step-by-step explanation:

Distance between planet A and sun = 35.9 ×10⁴ miles

      = 3.59 ×10⁵ miles

Distance between planet B and sun = 2.79 ×10⁵ miles

Distance between planet A and planet B = Distance between planet and sun - Distance between planet B and sun

           = 3.59 ×10⁵ - 0.279 ×10⁵

          = 3.311 ×10⁵ miles

Answer:

IQR = 13

Step-by-step explanation:

First, lay out the set of data in a line.

20, 25, 30, 30, 31, 40, 41, 49

Next, we have to find the median, which is the middle of the set of data.

It is between 30 and 31, which is 30.5. Another way to find it is:

30 + 31 = 61

61 ÷ 2 = 30.5

Using that, we mark it between 30 and 31. Next, use the line of the mark, you use to separate the data into two.

20, 25, 30, 30 | 31, 40, 41, 49

Now, you find the median for each side. The left side will be the lower quartile, and the right side will be the upper quartile.

LQR = 25 + 30 = 27.5

UQR = 40 + 41 = 40.5

Now to find the IQR, you subtract the LQR from the UQR:

40.5 - 27.5 = 13

IQR = 13

please give me brainliest if it's correct!! I'd really appreciate it

Answer: 75%

Step-by-step explanation: most numbers seem to repeat so it might happen more often

Answer:

14,1  

14,2  

14,3  

14,4  

14,5  

14,6  

14,7  

14,8  

14,9

14,10  

14,11

14,12

14,13

14,14

14,15

14,16    

The equation is they are adding 1 on the Y so they are going 1 unit up.  

Step-by-step explanation:

14 is X

and to solve coordinates graph  

(X,Y)    

Hope That's Help!

Answer: The answer is that the date is skewed left...

Step-by-step explanation: It's ironic, but if it's "heavier" on the left side, the data is right skewed, and vice versa.

Answer:

B) 540

Step-by-step explanation:

To find the sum of interior angles of a polygon, we can use the following formula:

(n-2)·180, where n is the number of sides the polygon has.

In this case, this polygon has 5 sides, which makes it a pentagon.

(n-2)·180

substitute

(5-2)·180

simplify

3·180

=540

So, the total sum is 540°.

Hope this helps! :)

Answer: B) 540 degrees

Step-by-step explanation:

The formula for interior angles of a polygon is 180(n-2). N is the number of sides.

Plug the given values into the equation:

180(5-2)=180*3=540

The sum of exterior angles of any polygon is 360 degrees. This problem didn't specify, so I would assume it's talking about interior angles, so the answer would be 540 degrees.

Answer: i think it is 2 1/8 inches and can you please give brainlest

Step-by-step explanation:

Answer:

$20 per week

Step-by-step explanation:

w means weeks, so the 20 could not mean weeks. The 20 is how much money is earned each week.

Answer: 1.6 x 10x10x10

Step-by-step explanation:

The exponent (3) signifies that you should write three tens.

1.6 x 10³ is written in standard form as 1600.

Scientific notation is a way of writing very large or very small numbers It is usually used to depict microscopic or macroscopic objects. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

        Scientific forms of numbers are compact and take up less space. They are raised to exponents, whereas standard forms are complex and provide the numerical notation taking up more space.

According to the given question the number 1.6×10³ is written in scientific form we have to convert this number into standard form.

We know 10³ = 1000.

∴ 1.6×10³ = 1.6 × 1000.

= 1600.

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The area of the fragment is [tex]10cm^{2}[/tex] if each square on the grid has the area of [tex]1cm^{2}[/tex].

We have been given the area of one square on the grid is [tex]1cm^{2}[/tex].

We have to find the total area of the fragment.

Let's calculate the total area of the fragment.

We have been given the area of one square in the fragment is [tex]1cm^{2}[/tex] .

Step 1: Count the number of squares present in the fragment.

Adding the number of colored squares in the row,

= 4 + 3 + 2 + 1

= 7 + 3

= 10

Step 2: Multiplying the number of squares in a fragment by the area of one square.

Now, forming an expression to calculate the total area,

= Number of squares X Area of one square

Substituting the values,

= [tex]10(1cm^{2} )[/tex]

= [tex]10cm^{2}[/tex]

Therefore, the area of the fragment is [tex]10cm^{2}[/tex]

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Correct question: Find the area of the fragment, if each square on the grid has an area of [tex]1cm^{2}[/tex].

The area of the fragment is approximately 10 cm².

Hence, option D is correct.

Use the concept of the triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

Gieven that,

Eeach grid has area = 1 cm²

Since each grid is of square shape,

Therefore,

Heigh of each grid = 1 cm

And the width of each grid = 1 cm

Now from the figure,

The height of the triangle = 4 cm

The width of the triangle ≈ 5 cm

Since knowing that,

Area of triangle = (1/2) x base x height

Therefore,

Area of the shaded region ≈ (1/2)x4x5

Area of the shaded region ≈ 10 cm²

Hence,

The area of the fragment is approximately 10 cm² which is option D.

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The complete question is:

find the area of the fragment if each square on the grid represents 1cm² .

A: 13 cm²

B: 20 cm²

C: 49 cm²

D: 10 cm²

Answer:

13/8 in

Step-by-step explanation:

1) Since you know that there are 2 sticks with a length of 1/8 in, 3 sticks with a length of 2/8 in, and 1 stick with the length of 5/8 in, we need to add them together.

2) They have the same denominator, so we can add the fractions together easily. 1/8+1/8+2/8+2/8+2/8+5/8=13/8

Answer:

B. 216

Step-by-step explanation:

the formula for this is (S1+S2+S3) L+ BH

so when we plug that in it would be

(5+6+5)12+6*4

and when that is solved it ends up being 216

Answer:

45

Step-by-step explanation:

The Allstars team has the higher mean and median compared to Champs team. Therefore, the Allstars has the tallest players.

By using mean and median, we can know which team typically has the tallest players

For the Allstars:

Mean: The mean height of the Allstars team is obtained by summing up all the heights and dividing by the total number of players:

Mean = (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15 ≈ 67.1 inches

Median: The median height of the Allstars team is the middle value when the heights are arranged in ascending order:

Arranging the heights in ascending order: 60, 60, 62, 63, 65, 66, 67, 68, 69, 70, 70, 71, 71, 72, 73

Median = 68 inches

For the Champs:

Mean: The mean height of the Champs team is obtained by summing up all the heights and dividing by the total number of players:

Mean = (62 + 69 + 65 + 68 + 60 + 70 + 70 + 58 + 67 + 66 + 75 + 70 + 69 + 67 + 60) / 15 ≈ 66.4 inches

Median: The median height of the Champs team is the middle value when the heights are arranged in ascending order:

Arranging the heights in ascending order: 58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75

Median = 67 inches

The Allstars team typically has the tallest players. The mean height of the Allstars team is about 67.1 inches, while the mean height of the Champs team is about 66.4 inches. Additionally, the median height of the Allstars team is about 68 inches, while the median height of the Champs team is about 67 inches. Both the mean and median heights of the Allstars team are higher, indicating that, on average, the Allstars team has taller players compared to the Champs team.

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Answer: 22.5 pounds

Step-by-step explanation:

The computation of the weight of the block of gel is shown below:

As we know that

Volume = (length) (width) (height)

= (20) (6 ) (6)

= 720 cubic inches 

Now we have to convert into cubic foot

As we know that

1 ft = 12 inches

So 1ft^3 = 12 inches^3

= 1728 inches ^3
Now

= 720 × 1 cubic foot ÷ 1728 cubic inches

= 5 ÷ 12

Now the weight is = 54 × 5 ÷ 12= 

22.5 pounds

Answer:

352

Step-by-step explanation:

The formula is 1/2(B1 + B2)H  

1/2(13 + 31)16  

1/2(44)16  

1/2(704)  

352

Answer:

Step-by-step explanation: 352ft^2 A=a+b

2h=13+31

2·16=352

Answer:

The customer ratings for the fidget toy sold by the online store can be represented using a frequency table. The table displays the frequency or count of each rating category, ranging from 1 star to 5 stars. Here's an example of how the frequency table might look:

Rating Frequency

1 star 10

2 stars 20

3 stars 30

4 stars 15

5 stars 25

In this example, the frequency table indicates that there were 10 customers who rated the fidget toy as 1 star, 20 customers who rated it as 2 stars, 30 customers who rated it as 3 stars, 15 customers who rated it as 4 stars, and 25 customers who rated it as 5 stars.

By organizing the ratings into a frequency table, it becomes easier to analyze the distribution of ratings and understand the overall customer satisfaction for the fidget toy.

Step-by-step explanation:

Answer: 6 inches

Step-by-step explanation:

Because there are a total of 6 sticks that are 7/8 of an inch, all you need to do is multiply 6 by 7/8ths and then add the one stick that is 6/8ths of an inch.

6 x 7/8

6/1 x 7/8

42/8

5.25 in

6/8 + 5.25

0.75 + 5.25

6 in

Answer:

The point-slope form of the equation of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, we have a point (-1,-2) and a slope of 3. Substituting these values into the equation, we get:

y - (-2) = 3(x - (-1))

Simplifying this equation, we get:

y + 2 = 3(x + 1)

So, the equation for the linear function whose graph contains the point (-1,-2) and has a slope of 3 is y + 2 = 3(x + 1).