The product of 2√ 3 and 3√12 in simplified form is .

The interquartile range of the data decreases when the eighth day's amount is included in the data is true.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Joanna set a goal to drink more water daily.

The number of ounces of water she drank each of the last seven days is

60, 58, 64, 64, 68, 50, 57

On the eighth day, she drinks 82 ounces of water.

Raw data:      [60,58,64,64,68,50,57,82],

Sorted data:  [50,57,58,60,64,64,68,82]

Sample size = 8 (even)

mean  = 62.875

median  = (60+64)/2 = 62

1st quartile   = (57+58)/2 = 57.5

3rd quartile  = (64+68)/2 =  66

IQR = 66 - 57.5 = 8.5

Data without the eight day's measurement.

Raw data:      [60,58,64,64,68,50,57]

Sorted data:  [50,57,58,60,64,64,68]

Sample size = 7 (odd)

mean            = 60.143

median         = 60

1st quartile   = 57

3rd quartile = 64

IQR = 64 -57 = 7

Hence, the interquartile range of the data decreases when the eighth day's amount is included in the data is true.

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ1

Answer: It's just

The interquartile range of the data decreases when the eighth day's amount is included in the data.

Step-by-step explanation: The question asks you to select ALL correct answers, but there is only one correct answer.

Hassan can paint maximum 11 bookcases with 10 gallons of paint.

A fraction represents a numerical value, which defines the parts of a whole.

Generally, the fraction can be a portion of any quantity out of the whole thing and the whole can be any specific things or value.

The basics of fractions explain the top and bottom numbers of a fraction.

Suppose a number has to be divided into four parts, then it is represented as x/4. So the fraction here, x/4, defines 1/4th of the number x. Hence, 1/4 is the fraction here.

Given,

Hassan has 10 gallons of paints.

1 bookcase requires 7/8 gallons of paint

Let Hassan paints x bookcases.

According to the question

7/8x = 10

7x = 80

x = 80/7

x = 11.43

But no. of bookcases should be in whole.

Number of bookcases painted with 10 gallons of paint = 11.

Hence, Maximum 11 bookcases can be painted by Hassan with 10 gallons of paint

Learn more about fractions here:

https://brainly.com/question/10354322

#SPJ1

Answer:

29000000000*140% = 40600000000

=40.6 billion

Step-by-step explanation:

right!!!

Answer:

Step-by-step explanation:

No he's going to have to try this one again.

The y intercept is found by making x = 0

The original equation becomes

2y - 120 = 0             Add 120 to both sides

2y = 120                  Divide by 2

y = 120/2

y = 60

The y intercept is 60

Probability of Two people was born on Friday = 1/49

Possibility of happening an event is called probability. It is given by the ratio of favorable outcome to the total possible outcome. Probability is different kinds such as independent probability, dependent probability, conditional probability and so on.

Assume that birthdays are equally distributed throughout the week.

probability of one people having birthday on Friday = 1/ 7

probability of another people has birthday on Friday = 1/7

probability of two people was born on Friday = 1/7× 1/7 = 1/ 49

To learn more about probability visit:

https://brainly.com/question/11234923

#SPJ4

Answer:

x = 2/3

Step-by-step explanation:

x - 5(x - 1) = x - (2x - 3)

x - 5x + 5 = x - 2x + 3

-5x + 5 = -2x + 3

-3x = -2

x = 2/3

Answer: 1/7

Step-by-step explanation: Find the GCD (Greatest Common Denominator) of the numerator and denominator. The GCD of 22 and 154 is 22. Divide both the numerator and denominator by the GCD = 22 ÷ 22; 154 ÷ 22. Reduced fraction: 1/7. Therefore, 22/154 simplified to lowest terms is 1/7.

Answer:

r = 2.25733059

round to whatever place your teacher wants.

Step-by-step explanation:

The formula for volume of a cylinder is

V=πr^2h

Plug in what we know

400 = πr^2(25)

divide both sides by 25

16 = π r^2

divide both sides by π (= 3.14)

r^2 = 5.0955414

then take the square root of both sides

r = 2.25733059

round to whatever place your teacher wants.

------------------------------------------

Kind of wishing the volume was 400π, lol. Would be easier to solve.

LMK if you have questions.

Answer:

A

Step-by-step explanation:

Side A which is 4 is an angle of 41.40

Side B which is 5 is an angle of 55.7

Side C which is 6 is an angle of 82.8

Answer:

aaaaaaaaa x=3-2y

Answer: 3 grams

Step-by-step explanation:

I just looked up the answer lol- I tried though, (Also I can't guarantee if it's right... But it probably is).

Answer:

I don't think so

Step-by-step explanation:

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

If you insert your lengths, [tex]8^{2}[/tex]+[tex]12^{2}[/tex] does not equal [tex]15^{2}[/tex]

The provided schematic must be followed in order to answer these diamond problems. You must multiply the values on the left (x) and right (y) cells in order to find the value that belongs in the top cell.

we have,

For Diamond Problems a

x+y=1.2

xy=.32

so value of x= .8 and y = .4.

for Diamond Problems b

x= 11

x+y=25.

so y= 14 and xy=11*14=154.

for Diamond Problems c

x=-7

y=-9

so x+y=-16 and xy= 63.

for Diamond Problems d

x+y=31

xy=234

x=13 and y=18

Because puzzles engage both the left and right sides of your brain, solving them aids in the development of your problem-solving abilities. Solving puzzles with others is a terrific method to improve your communication and cooperation skills in addition to your problem-solving and critical thinking abilities.

To know more about  Diamond Problems visit:-

https://brainly.com/question/29022455

#SPJ1

Answer: -4096

Step-by-step explanation:

I just did the lesson

Ericka’s mistake is in ''Step 2.''

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Ericka was solving an exponential equation, and upon finishing, she realized her answer was incorrect when she substituted -5 back into her original equation.

Now,

Since, Ericka was solving an exponential equation.

Clearly, The equation is,

⇒ 5 ⁹ˣ⁺⁶ = 25³ˣ ⁻ ²⁴

Step 1;

⇒ 5 ⁹ˣ⁺⁶ = 25³ˣ ⁻ ²⁴

⇒ 5 ⁹ˣ⁺⁶ = 5 ² ⁽³ˣ ⁻ ²⁴⁾

Step 2;

⇒ 9x + 6 = 2 (3x - 24)

So, Ericka’s mistake is in Step 2.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

Step-by-step explanation:

Y=2x+3

Y=2(0)+3

Y=3

The three sides of a triangle are referred to as the base, the height, and the hypotenuse.

The base and height of a triangle can be used to calculate the area of the triangle using the formula:

Area = (Base x Height) / 2

To calculate the hypotenuse of a triangle, the Pythagorean Theorem is used. The theorem states that the sum of the squares of the lengths of the two sides of a right triangle is equal to the square of the length of the hypotenuse.

The formula for the Pythagorean Theorem is:

a2 + b2 = c2

where a and b are the two sides of the triangle and c is the hypotenuse.

To calculate the hypotenuse of a triangle, the following steps are taken:

1. Measure the length of each side of the triangle.

2. Square the length of each side (multiply the length by itself).

3. Add the two values together.

4. Find the square root of the sum. This is the length of the hypotenuse.

Learn more about Pythagorean Theorem here:

https://brainly.com/question/28361847

#SPJ4

Answer:

Step-by-step explanation:

-1 divided by x

1 - x

X - 1

Answer:

Answer: 0.125 cm^3

According to the given bar chart options A, B and C are the correct.

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.

Given that, the bar chart shows the relative frequencies of students from grades 6 to 12 who participate in the community service activity.

Relative Frequency = Subgroup frequency/ Total frequency.

Relative Frequency = f/ n.

From the given bar chart we can see that

The maximum number of participating students was in grade 9.

The number of participating students in grade 6 was equal to the number of participating students in grade 7.

The relative frequency of all participating students in grades 6 and 7 combined was 0.60.  

Therefore, options A, B and C are the correct answers.

To learn more about the relative frequency visit:

brainly.com/question/13193436.

#SPJ4

Complete question is in attachment:

Answer:

  (-2, 2)

Step-by-step explanation:

You want the circumcenter of the triangle with vertices A(2, -3), B(2, 7), and C(-6, -3).

The circumcenter is the center of  the circle that circumscribes the triangle. Here, the triangle is a right triangle, so the circumcenter is the midpoint of the hypotenuse.

The midpoint of segment BC is the average of the coordinates of B and C:

  X = (B +C)/2 = ((2, 7) +(-6, -3))/2 = (2 -6, 7 -3)/2 = (-4, 4)/2

  X = (-2, 2)

The circumcenter is (-2, 2).

__

Additional comment

The right angle subtends an arc of twice its measure, 180°, so the circumscribed triangle occupies a semicircle, and the hypotenuse is a diameter. That puts the center of the circle at the midpoint of the hypotenuse.

The three ways of finding the x-intercept are:

By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the y-intercept occurs when the x value is 0. Y = B when x = 0, since mx = 0 at this point.

We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.

The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.

To learn more about intercept :

https://brainly.com/question/24990033

#SPJ4

No, an isosceles triangle is not always 60 degrees. The angles of an isosceles triangle must be equal, but the overall measure of the angles can be any value greater than 0 degrees.

A triangle having two equal sides and two equal angles is known as an isosceles triangle.. The equal sides create two equal angles that are opposite each other. The two equal angles are the only two angles that define an isosceles triangle. There is no specific measure for the angles of an isosceles triangle, so the angles do not necessarily have to be 60 degrees and The angles can be any value greater than 0 degrees. The two equal angles, however, must be equal in measure to make the triangle an isosceles triangle. Therefore, an isosceles triangle is not always 60 degrees.

Learn more about isosceles triangle here

https://brainly.com/question/2456591

#SPJ4

Answer:

7g - 3

Step-by-step explanation:

2g + 15 + 3g + g + g - 18

2g + 3g + g + g + 15 - 18

7g - 3

Solving for W in the equation 4 = (2 + W) / 2 gives W = 6

Using the equation 4 = (2 + W) / 2, W is solved by making it the subject of the formula and this is means placing W alone at the left hand side of the equation'

This is achieved by the following procedure

clearing the fraction

4 = (2 + W) / 2,

8 = 2 + W

rearranging the equation

W + 2 = 8

subtracting 2 from both sides of the equation

W + 2 - 2 = 8 - 2

since 2 - 2 = 0 we have

W = 6

Learn more about equations at:

https://brainly.com/question/2972832

#SPJ1

Answer:

use calculator

Step-by-step explanation:

Answer:

-21 i think

Step-by-step explanation:

Between -10 and -16 has to be -13, because -13 is three apart from -10, and three apart from -16. That means that the numbers decrease by 3. So, the number line would be:

-10

-13

-16

-19

-21

Hope this helps!

Answer:

Step-by-step explanation:

Back

Area = L * W

L = 20

W = 8

Area = 20 * 8

Area =                                                                       160

2 Triangles

Area = 1/2 one smaller leg*other smaller leg

one smaller leg = 8

The other one = 15

Area = 1/2 8 * 15  =     60

But there are 2 of them 2 * 60 =                            120

Base

L =  20

W = 15

Area = L * W

Area = 20*15 =                                                        300

Front (slanted) Face

L = 20

W = 17

Area = L * W

Area =  20*17                                                         340

Total                                                                        920

Answer:

2, 6

Step-by-step explanation:

x always go first

The school is 24.63 meters tall.

To calculate the height of the school, Elijah can use the concept of similar triangles. Since the mirror is on the ground and parallel to it, the angle between the ground and the line from his eyes to the mirror is 90 degrees. The angle between the ground and the line from his eyes to the top of the school is also 90 degrees. The triangle formed by these lines and the line from his eyes to the top of the school is similar to the triangle formed by these lines and the line from his eyes to the mirror.

Using the similar triangles, the ratio of the height of the school to the distance from Elijah's eyes to the mirror is equal to the ratio of the distance from Elijah's eyes to the ground to the distance from the mirror to the school.

Therefore

(Height of school) / (Distance from eyes to mirror) = (Distance from eyes to ground) / (Distance from mirror to school)

Plug in the given values:

(Height of school) / 0.8 = 1.45 / (8.25 - 0.8)

Solving for the height of the school:

Height of school = (0.8 * 1.45) / (8.25 - 0.8)

= 1.16 / 7.45

= 0.1562

= 24.63 meters

The school is 24.63 meters tall.

Learn more about Distance

https://brainly.com/question/26550516

#SPJ4