Using measures of center and variability to compare data- quiz answers?

The value of x is 726 ft.

We have,

Perimeter of the property= 3279 feet

Now, the shape of the property is Trapezium.

and, the dimension of trapezoidal property is

x + 74, x +27, x+ 274 and x

So, the perimeter of trapezoid

3279 = sum of length of side

3279 = x + x + 74 + x + 27 +  x +274

3279 = 4x  + 375

4x = 2904

x = 726 ft

Thus, the value of x is 726 ft.

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Answer:

04x=24

Step-by-step explanation:

04x=24

divide both sides by 4 to let x stand alone

04x÷4=24÷4

x=6

Answer:

he needs 9 cans

Step-by-step explanation:

first,

43L/5L

= 8.6 cans

8.6 cans is not logical therefore u need to round up to 9 cans

Answer:

$8.75

Step-by-step explanation:

8 1/2 + 9 = 17 1/2 or 17.5

17.5 x .50 = 8.75

well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

The number is 15.

   2x/3-7=3

   3(2x/3–7)=3×3

   2x-21+21=9+21

   2x/2=30/2

   x=15

Proof

   15×2=30

   30/3=10

   10–7=3

Answer:

See answers below

Step-by-step explanation:

A. 3/4 * 3 = 2.25 <= 4 = YES

B. 11/12 * 4 = 3.67 <= 4 = YES

C. 7/8 * 5 = 4.38 >= 4 = NO

D. 5/6 * 6 = 5 >= 4 = NO

E. 1/2 * 8 = 4 <= 4 = Yes

Mark brainliest if this helped

Mark brainliest if this helped

Step-by-step explanation:

d = price of 1 drink

s = price of 1 sandwich

3d + 5s = 25.05

4d + 2s = 13.8

we can do this by combining both equations so that they is only one variable left.

e.g. multiply equation 1 by 4 and equation 2 by 3, and then subtract equation 2 from equation 1 :

12d + 20s = 100.2

- 12d + 6s = 41.4

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

0 14s = 58.8

s = 58.8/14 = $4.20

3d + 5s = 25.05

3d + 5×4.2 = 25.05

3d + 21 = 25.05

3d = 4.05

d = 4.05/3 = $1.35

so, each drink costs $1.35.

The experimental probability is 4/5 if they randomly selected 6 blue, 4 yellow, 2 red, 3 green, and 5 purple marbles.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Total number of marbles = 6+4+2+3+5 = 20

Total number of marbles except yellow = 20 - 4 = 16

The experimental probability = 16/20

or

= 4/5

Thus, the experimental probability is 4/5 if they randomly selected 6 blue, 4 yellow, 2 red, 3 green, and 5 purple marbles.

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Answer:

125%

Step-by-step explanation:

divide 250% by 2

Answer:

84

Step-by-step explanation:

100-point test = 50 questions which are worth 2-points each.

(50 x 2 = 100)

If she got 8 wrong, this means she lost 16 points ( 8 questions x 2 points each = 16 points in total)

100 - 16 = 84

To find her score if she got x questions wrong just multiply x by 2 and subtract the answer to 100.

The value of the equivalent fraction is 5/1000 and 0.005. Options C and E

A fraction that, while having a different numerator and denominator, reflects the same value or amount as another fraction is said to be equal. The same proportion or part of a whole is represented by equivalent fractions, which have distinct numbers.

You can multiply or divide a fraction's numerator and denominator by the same non-zero value to produce an analogous fraction.

We have;

1/2%

This is the same as;

1/2/100/1

1/2 * 1/100

= 1/200 or 0.005 or 5/1000

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Missing parts;

Choose each number that show 1/2 % as an equivalent fraction, decimal, or percent. Select all that apply. A) 0.05 B) 2% C) 5/1000 D) 5/100 E) 0.005

Answer:

1,

Step-by-step explanation:

now z also a dk4k ak4 smka 4ml 4 LL

it would be 30ft tall, because each inch = 5 ft, therefore, 6 x 5 = 30.

Answer:

30 ft

Step-by-step explanation:

5 X

— = —

1 6

5•6=30

30/1= 30

therefore the answer is 30 ft

Answer:

Here is the ans...hope it helps

Answer:

The measure of ∠G is 59°

Step-by-step explanation:

When two secants, intersect at a point outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs.

In the given figure

∵ GT is a secant that intersects the circle at points H and T

∵ GE is a secant that intersects the circle at points F and E

∴ The intercepted arcs are HF and TE

∵ GT ∩ GE at G

∵ Point G is outside the circle

→ By using the rule above

∴ m∠G = \(\frac{1}{2}\) (m arc TE - m arc HF)

∵ m arc TE = 175°

∵ m arc HF = 57°

→ Substitute them in the rule above

∵ m∠G = \(\frac{1}{2}\) (175 - 57) = \(\frac{1}{2}\) (118)

∴ m∠G = 59

∴ The measure of ∠G is 59°

The third angle of the triangle is 80 degrees. If two angles in a triangle are 55∘ and 45∘, the third angle can be calculated by using the following formula:

Third angle = 180 - (Sum of the other two angles)

Let's put the given values in the above formula.

Third angle = 180 - (55 + 45)Third angle = 180 - 100

Third angle = 80Hence, the third angle of the triangle is 80 degrees.

A triangle is a closed figure consisting of three sides. The sum of the angles of a triangle is always equal to 180 degrees. This means that if two angles in a triangle are known, then the third angle can be calculated by subtracting the sum of the known angles from 180 degrees.

In this question, the two angles of the triangle are 55 degrees and 45 degrees. The third angle can be found by using the formula Third angle = 180 - (Sum of the other two angles). By substituting the given values in the formula, we get the third angle as 80 degrees.

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Answer:

Required system of inequalities to represent this situation:

Given:

Opal makes $15 per hour working for a photographer.

She also coaches a competitive soccer team for $10 per hour.

Defining variables

Let x = Number of hours she works as a photographer, y= Number of hours she works as coach.

Explanation

As she needs to earn at least $90 per week i.e.  

but she does not want to work more than 20 hours per week.

i.e.  

Required system of inequalities to represent this situation:

Step-by-step explanation:

HOPE THIS HELPS

Required system of inequalities to represent this situation 15x + 10y ≥ 20 and x + y ≤ 20.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that Opal makes $15 per hour working for a photographer. She also coaches a competitive soccer team for $10 per hour.

Defining variables Let x = Number of hours she works as a photographer, y= Number of hours she works as a coach.

As she needs to earn at least $90 per week i.e. but she does not want to work more than 20 hours per week. The required system of inequalities to represent this situation.

15x + 10y ≥ 20

x + y ≤ 20.

Therefore, the required system of inequalities to represent this situation is 15x + 10y ≥ 20 and x + y ≤ 20.

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Answer: 40

Step-by-step explanation:

2x/5 =16 => 2x= 16×5= 80 => X= 40

Answer:

x =1.28571428571

Step-by-step explanation:

6x + 2y = -10

y = -4x - 8

6x + 2(4x - 8) = -10

6x + 8x - 8 = -10

14x - 8 = 10

(we put together the like terms)

14x = 10 + 8

14x = 18

x =  \(\frac{18}{14}\)

x = 1.28571428571

1) In this question, we can start setting our table:

2) Now let's find the regression line by finding the slope and the linear coefficient, according to these formulas below:

So

Therefore we can write the regression line as:

3) Now let's find the correlation coefficient through another formula:

The path consists of 4 line segments. Each line segment is the hypotenuse of a different right triangle.

length of line segment AB = \(\sqrt{2^{2}+5^{2} } =\sqrt{29} =5.39cm\)

length of line segment BC = \(\sqrt{3^{2}+4^{2} } =\sqrt{25} =5cm\)

length of line segment CD = \(\sqrt{3^{2}+5^{2} } =\sqrt{34} =5.83cm\)

length of line segment DE \(=\sqrt{2.5^{2}+3^{2} } } =\sqrt{15.25} =3.91cm\)

The total length of the spider's path is about 20.13 cm.

Answer:

x is 12

Step-by-step explanation:

» From scalar properties:

\({ \tt{ \frac{FG}{FH} = \frac{AB}{AC} }} \\ \\ { \tt{ \frac{9}{6} = \frac{18}{x} }} \\ \\ { \tt{x = \frac{18 \times 6}{9} }} \\ \\ { \boxed{ \tt{ \: x = 12 \: }}}\)

The probability of Alex winning a game of chess with his high school classmates is 0.44, while the probability of his twin sister, Alice, winning a game of chess is 0.75.

The probability of winning a game of chess can be seen as the likelihood of a specific outcome occurring out of all possible outcomes. In this case, the probability of Alex winning a game with his high school classmates is 0.44, indicating that out of all the games played, he is expected to win approximately 44% of them. Similarly, the probability of Alice winning a game of chess is 0.75, suggesting that she has a higher likelihood of winning compared to Alex.

It's important to note that these probabilities are based on certain assumptions and factors such as skill levels, strategies employed, and the competitive environment. It's possible that Alice has more experience or has developed a stronger skill set in chess, giving her an advantage and resulting in a higher probability of winning. On the other hand, Alex might face stronger opponents or have a different playing style that affects his chances of winning. The probabilities provide a statistical measure of the expected outcomes but do not guarantee the actual result of any individual game.

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Answer:

\(\displaystyle m=\frac{6}{5}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (4, 6)

Point (-16, -18)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

A:   -1 + 2 log4^x

C: log4 (1/4) + log4 x^2

Step-by-step explanation:

Apply logarithm properties:

log4 (1/4x^2)  =  log4 (1/4) + log4 x^2

Evaluate: log4 (1/4)

log4 (1/4) = -1

Substitute the value back:

-1 + lg4 x^2

Apply logarithm properties:

-1 + 2 log4 ^x

Draw a conclusion:

The expressions equivalent to: log4 (1/4x^2) are:

Answer Choices: A, and C

A= -1 + 2 log4^x

C=  log4 (1/4) + log4 x^2

Hope this helps!

The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

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Zach's hourly wage is determined by taking the basic rate of $16.00 and adding $2.00 for each extra student beyond the first one in the calculation is P = $16.00 + ($2.00 x (n - 1))

That's an interesting situation! It seems like Zach's hourly pay for tutoring is not fixed, but rather increases with each additional student he tutors. Here's how his pay works:

If Zach is tutoring just one student, he gets paid $16.00 per hour.

If a second student joins the tutoring session, Zach's hourly pay increases to $18.00 per hour ($16.00 for the first student plus $2.00 for the second).

If a third student joins, Zach's hourly pay increases to $20.00 per hour ($16.00 for the first student plus $2.00 for the second and third students).

And so on, for each additional student who joins the tutoring session.

So Zach's hourly pay is not a fixed rate, but rather a function of the number of students he is tutoring.

If we let P be Zach's hourly pay and n be the number of students he is tutoring, we can express Zach's pay as:

P = $16.00 + ($2.00 x (n - 1))

This formula calculates Zach's hourly pay by taking the base rate of $16.00 and adding $2.00 for each additional student beyond the first one.

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Question:-  Zach got hired to tutor math. He gets paid $16.00 per hour for tutoring one student. Each student that joins the tutoring session increases his hourly pay by $2.00.