Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
8 cm
5 cm

Answer:  \(\sqrt{\frac{9}{4} }\)

Step-by-step explanation:

This is what it is as a mixed number

\(\sqrt{2.25}\)

= \(\sqrt{2\frac{1}{4} }\)

= \(\sqrt{\frac{9}{4} }\)

If you want it written in exponential form it would look like this:

\((\frac{9}{4}) ^{\frac{1}{2} }\)

Answer:

1.5 in decimal and 3/2 or 1 1/2 in fraction

Step-by-step explanation:

hope this helps:)

Answer:

3

Step-by-step explanation:

the original equation would be 8 x 3 x .5 divided by 2 x .5 x 4

making the numerator 12 and denominator 4. Simplifying that would be 3

Part A: To calculate the measures of center, we can find the median and the mean for each school.

For Bay Side School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 25, so the median class size is 25.

To find the mean class size for Bay Side School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 12 + 12 + 12 + 14 + 15 + 15 + 16 + 16 + 18 + 18 + 20 + 20 + 23 + 25 + 25 = 243. There are 15 classes, so the mean class size is 243/15 ≈ 16.2.

For Seaside School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 15, so the median class size is 15.

To find the mean class size for Seaside School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 10 + 10 + 10 + 11 + 12 + 15 + 15 + 16 + 17 + 17Part A (continued):

18 + 18 + 20 + 20 + 25 = 222. There are 14 classes, so the mean class size is 222/14 ≈ 15.9.

Therefore, the measures of center for Bay Side School are: median = 25, mean ≈ 16.2.

The measures of center for Seaside School are: median = 15, mean ≈ 15.9.

Part B: To calculate the measures of variability, we can find the range and the interquartile range (IQR) for each school.

For Bay Side School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 12, so the range is 25 - 12 = 13.

To find the IQR for Bay Side School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 15 and Q3 is 20. Therefore, the IQR is 20 - 15 = 5.

For Seaside School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 10, so the range is 25 - 10 = 15.

To find the IQRPart B (continued): for Seaside School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 12 and Q3 is 18. Therefore, the IQR is 18 - 12 = 6.

Therefore, the measures of variability for Bay Side School are: range = 13, IQR = 5.

The measures of variability for Seaside School are: range = 15, IQR = 6.

Part C: If you are interested in a smaller class size, Seaside School is a better choice because its measures of center are lower than those of Bay Side School, indicating that its class sizes tend to be smaller on average. Additionally, Seaside School has a smaller range and IQR, indicating less variability in class size. Therefore, there is less chance of encountering very large classes at Seaside School compared to Bay Side School.

Answer:

280 = $182

Step-by-step explanation:

I see that for every 20, 13 dollars are added

Find how many dollars per card

280/20= 14

14 x 13 =182

Answer:

i don’t think you gave enough info

Answer:

4

Step-by-step explanation:

The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.

The cube root of 64 is 4.

Before solving the question, let's understand the concept of cube root.

The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.

The cube root is denoted by ∛

Now, we will find the cube root of 64.

Firstly, we have to find factor 64.

64 = 2 × 2 × 2 × 2 × 2 × 2.

64 = ∛4³

64 = 4

Therefore, the cube root of 64 is 4.

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Answer:7,065

Step-by-step explanation: 50x75x3.14 then subtract 20x75x3.14

Answer:35

Step-by-step explanation:

The integer in the set S:{−24, 2, 20, 35} that will make the inequality five-sixths m minus five is less than one-half m plus 3 false is 35What is inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in inequality aren't always equal. Inequalities imply that the expressions are not equal. They are denoted by the symbols ≥  <  >   ≤.In this case, based on the information we will replace m with 35. This will be illustrated thus:= 5/6(35 - 5) < 1/2(35 + 3)= 5/6(30) < 1/2(38)= 25 < 19In this case, 25 isn't less than 19. Therefore, 35 is the correct integer.

Answer: 35

Step-by-step explanation:

Answer:

43 1/3

Step-by-step explanation:

Answer:

43 1/3

Step-by-step explanation:

Answer:

7^5

Step-by-step explanation:

The base number (7) is the same, so we can just add the exponents together.

Hope that helped!

To write 7^3 x 7^2 using a singular exponent, you can add the exponents together since the bases (7) are the same. The result is:

7^3 x 7^2 = 7^(3 + 2) = 7^5\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

I personally would use increments of 70 000 as it would look the neatest given the space provided.

To get this, I took a bit more than highest value and divided it by the amount of spaces I had.

700 000 people / 10 spaces = 70 000 people per space

Answer:

x = 30°, y = 39°

Step-by-step explanation:

53 + 58 +  y + x = x + 150

=> 53 + 58 + y = 150

=> y = 150 - 53 - 58

=> y = 39°

x + 150 = 180

=> x = 180 - 150 = 30°

Explanation:

hope it's correct

Answer: 28 degrees farenheit

Step-by-step explanation: add 22 and 6 for the total of how many degrees -6 is from 22.

If the  temperature at dawn is -6°F but by noon it is 22°F.Then 28°F  is the difference in temperatures

Two or more expressions with an Equal sign is called as Equation.

The temperature at dawn is -6°F

The temperature at dawn in afternoon is 22°F.

We need to find the difference in temperatures.

Difference is nothing but subtracting one number with another number.

Now subtract  -6°F from 22°F.

22°F-(-6°F)

Twenty two degree fahrenheit plus six degree fahrenheit

22°F+6°F

28°F

Hence there is 28°F in temperatures. Option D is correct.

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Answer:

102$

Step-by-step explanation:

(20/100*38)*5+(16/100*45)*6+(10/100*52)*4

=102$

im not good in maths so this what i think

Answer:

7 and one half

Step-by-step explanation:

Got it right on edge

Step-by-step explanation:

Let's assume the amount Mackey initially invested in the 6% account is x dollars.

According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.

The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.

The total interest earned in the year is given as $737.50, so we can set up the equation:

0.06x + 0.085(x + $1000) = $737.50

Simplifying the equation:

0.06x + 0.085x + 0.085($1000) = $737.50

Combining like terms:

0.145x + $85 = $737.50

Subtracting $85 from both sides:

0.145x = $737.50 - $85

0.145x = $652.50

Dividing both sides by 0.145:

x = $652.50 / 0.145

x ≈ $4500

Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.

$4500

$4500

$4500

$4500

Answer:

-2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

We are taking the absolute value of -2. Absolute value or "|" means that any number whether its negative or positive turns or stays at being positive. So...

|-2| -> 2

Best of Luck!

Answer:

The answer is the bottom one

Step-by-step explanation:

You just need to find out where is the 1 1/4 are in this line plot.

Answer: $0.34

Step-by-step explanation: $0.68 / 2 = $0.34

Answer:

Well even though you dont need it now the answer is v = 42 squared

Step-by-step explanation:

I used g00g1e like a normal person would

To convert the fraction 2/4 to a decimal, we can perform the division 2 divided by 4 using long division or mental math.

2 ÷ 4 = 0.5

Therefore, 2/4 as a decimal is 0.5.

Answer:

1. 18

2. 12

3. 10%

4. 20%

Step-by-step explanation:

Answer:249037470.178  peoples per mi^2

Step-by-step explanation:

Volume = 4/3 × \(\pi\) r³

Volume = 4/3 × 3.14 × 7 × 7 × 7

Volume = 1436.03 cm³

The volume of the sphere with a radius of 7 units is 457.33π cubic units

A sphere is a solid 3-dimensional figure. The volume of a sphere is expressed as:

V = 4/3πr^3

where:

r is the radius of the sphere:

Given the following

r = 7 units

Substitute the given parameters

V = 4/3(π) * 7^3

V = 4/3 * π * 343

V = 1372π/3

V = 457.33π cubic units

Hence the volume of the sphere with a radius of 7 units is 457.33π cubic units

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