The president of a school club would like to purchase T-shirts for members of the club and asks members which size they would like to order. The results are shown in the histogram below.

A histogram titled T-shirt sizes has size on the x-axis and frequency on the y-axis. Small, 15; medium, 22; large, 26; extra large, 5.

Which of the following is a true statement regarding the information shown in the histogram?

T-shirt size is a discrete quantitative variable.
T-shirt size is a continuous quantitative variable.
Frequency of each size is a discrete quantitative variable.
T-shirt size is a categorical variable.

Answer:

y + 5x + 8

Explanation:

Move numbers or variable:

y + 5x + 8

Additional Information:

x + y + 1

This has three terms, coefficient of 1, constant of 1

Answer:

[tex]\huge\boxed{\bf\: x + 5y + 8}[/tex]

Step-by-step explanation:

We need to make an expression using the given conditions. Let's look at them in order.

Condition 1:

If the expression has three terms then let's take the three terms as, x, y & z. Therefore, the expression uoto now = x + y + z.

Condition 2:

Now, the expression has a term with coefficient = 5. Let's put 'y' with coefficient 5 since the second term has two blanks in the question. So, expression = x + 5y + z.

Condition 3:

The expression also has a constant 8. By substituting the value of 'z' with 8 (as 'z' is not given in the options), we get the final expression as → x + 5y + 8.

[tex]\rule{150pt}{2pt}[/tex]

Answer:

Given that the probability of winning is = 0.05

So the probability of losing is = 1 - 0.05 = 0.95.

We are told we have a 1 in 20 chance

Success: 0.05

Failure: 0.95

P(X=4)= 0.95*0.95*0.95*0.05

So the chance is 0.04286 or Option D

Answer:

Theres no picture but is it the square root of 33?

Step-by-step explanation:

Answer:

shape A is the only shape with 4 lines of symmetry.

Step-by-step explanation:

shape A is a square and a square has 4 lines of symmetry

so therefore, shape A is the only shape with 4 lines of symmetry.

Answer:

There are many ways we can write [tex]5^{11}[/tex] one of them being that we just write 11 fives being multiplied against each other like the following:

[tex]5*5*5*5*5*5*5*5*5*5*5[/tex]

This can seem very repetitive which is why powers are a lot more helpful.  We can also rewrite [tex]5^{11}[/tex] using the power in the bottom of a fraction.  The way that we do this is put [tex]5^{-11}[/tex] on the bottom which can then be flipped to the top with a positive power and will be the same.

[tex]\frac{1}{5^{-11}}[/tex]

The final way that we can rewrite [tex]5^{11}[/tex] is by using several different powers.  We can do [tex]5^6*5^5[/tex] which will equal the same thing as [tex]5^{11}[/tex] because the base is the same and what we basically do is just add up the powers together to get back to 11.

[tex]5^6*5^5[/tex]

Answer:the answer above is correct

Step-by-step explanation:

Step-by-step explanation:

sqrt(5x - 2) <= 3

5x - 2 <= 9

5x <= 11

x <= 11/5

but also : 5x -2 >= 0

otherwise the square root is not valid for real numbers.

5x >= 2

x >= 2/5

so the solution is for all x out of R (real numbers), where

2/5 <= x <= 11/5

Answer:

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

7xy=3 xy=5

7xy+xy=3+5

6xy=8

Step-by-step explanation:

it's are the answers

Ethan's mistakes in sorting the shapes into two groups are:

From the complete question (see attachment), the shapes are grouped using the following criteria:

Using the above rules, Ethan's mistakes are: shapes C and F are placed in the wrong groups

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Answer: Ellipse

This cross section is not parallel to the circular base, so we get a stretched out circle of sorts. In other words, we get an ellipse.

Answer:

dad

Step-by-step explanation:

Answer:

  39, 40, 41

Step-by-step explanation:

Let x represent the middle integer. The sum of the three integers will be ...

  (x -1) +x +(x +1) = 3x

This is 40 more than 2 times the middle integer, so we have ...

  3x = 40 +2x

  x = 40 . . . . . . . subtract 2x

The three integers are 39, 40, 41.

_____

Additional comment

It often works well to solve consecutive integer problems by letting a variable represent the middle value, or the average of the integers.

Answer:

C. 60

Step-by-step explanation:

The area of the city park will be equal to 3952 square units.

The Area is defined as the space occupied by the two-dimensional geometry in a plane.

We have the following information:-

In City Park, the playground takes up 3/8 of the area:-

[tex]\rm PGA=\dfrac{3}{8}\times CP[/tex]

The soccer field area is 1/3 of the playground area.

[tex]\rm SF=\dfrac{1}{3}\times PGA[/tex]

The product 13×38 can be used to find the area of the soccer field

SF= 13  x  38=494 square units

Noe the PGA will be:-

PGA =3 x SF

PGA= 3 x494=1482 square unit

Now the area of the city park will be calculated as:-

[tex]\rm CP=\dfrac{8}{3}\times PGA\\\\\\CP=\dfrac{8}{3}\times 1482[/tex]

CP=3952 square unit

Hence the area of the city park will be equal to 3952 square units.

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Answer:

Hello your answer is either A. B. C. OR D.

Step-by-step explanation:

This is correct cus it cant be wrong
also my other acc
is brokededed =(

Answer:

it could be one of those answers

Step-by-step explanation:

:P

Nuggets~

SOLUTION

TO DETERMINE

84 as a product of primes.

Use index notation to write the number

EVALUATION

Here the given number is 84

We prime factorise the given number

84 = 2 × 2 × 3 × 7

Number of 2's = 2

Number of 3's = 1

Number of 7's = 1

Rewriting the given number in index form we get

━━━━━━━━━━━━━━━━

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The difference between face value and place value of 5 in 2,10,519

brainly.in/question/22495648

2. if one bee drinks 1ml honey then how much honey 1000 bees will drink??

Answer:

Step-by-step explanation:

Comment

All triangles have 180 degrees. In this triangle, there is 1 ninety degree angle. The other two are related.

Equation

x + x + 10 + 90 = 180             Combine the left

Solution

2x + 100 = 180                       Subtract 100 from both sides

2x+100-100 = 180-100

2x = 80                                   Divide by 2

2x/2 = 80/2

x = 40

Answer

x = 40

x + 10 = 40 + 10 = 50

Answer:

12,30

Step-by-step explanation:

Hence the numbers can either be (6,60) or (12,30), but as both the numbers are greater than 6 so the answer is (12,30)

[tex]∠BAD≈65.22°[/tex]

Note:

The following formula is tan formula:

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

1) Finding the tan of ∠BAC

[tex]tan(\theta)=\dfrac{4}{5}[/tex]

[tex]\theta=tan^-1(\dfrac{4}{5})[/tex]

2) Finding the tan of ∠CAD

[tex]tan(\theta)=\dfrac{3}{6}[/tex]

[tex]\theta=tan^-1(\dfrac{3}{6})[/tex]

3) Add the value of ∠BAC to the value of ∠CAD

[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{3}{6})≈65.22°[/tex]

4) The sum of interior angles in quadrilateral is 360°

Then

[tex]tan(∠BAC)+tan(∠ACB)+tan(∠CAD)+tan(∠ACD)=360°[/tex]

[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{5}{4})+tan^-1(\dfrac{3}{6})+tan^-1(\dfrac{6}{3})=180°[/tex]

[tex]180°+∠CDA+∠CBA=^?360[/tex]

[tex]180°+90°+90°=^?360°[/tex]

[tex]360°=360°[/tex]

Answer:

a) 94

Step-by-step explanation:

92 + 93 + 89 + 94 = 368/4= 92

Answer:

94

explanation:

because common sense

Answer:

The value of X = 9

Step-by-step explanation:

X+13=22

X = 22-13

X = 9

Step-by-step explanation:

I don't know what the 3rd fruit is. let's call it an apple.

so,

1 apple + 3 cherries = 3 bananas

1 apple = 3 bananas - 3 cherries

1 banana + 2 cherries = 1 apple = 3 bananas - 3 cherries

5 cherries = 2 bananas

1 apple + 1 banana = (1 banana + 2 cherries) + 1 banana =

= 2 bananas + 2 cherries =

= 5 cherries + 2 cherries =

= 7 cherries

the numbers did not help, as they were wrong.

e.g. if you assume the apple = 5, a cherry = 1 and a banana = 2, you would get 8 = 6 on the first scale.

if you change the apple to a 3, that would make the first scale true (6 = 6), but the second scale wrong (4 = 3).

funny enough, the other answer got 7 nevertheless (but the wrong way - actually 2 mistakes balanced each other out).

it is 7 cherries, though !

the actual numbers would be e.g.

a cherry = 1

then

1 banana = 5/2 = 2.5

1 apple = 3×5/2 - 3 = 15/2 - 6/2 = 9/2 = 4.5

to get whole numbers, we could multiply all by 2 :

cherry = 2

banana = 5

apple = 9

and then the first balance :

9 + 3×2 = 3×5

9 + 6 = 15

15 = 15 correct

the second balance

5 + 2×2 = 9

9 = 9 correct.

Step-by-step explanation:

it is really simple.

first of all, when 2 lines intersect (and we are talking straight lines, otherwise they are not lines in the mathematical sense), the angles created are the same in both sides of the lines (just left-right mirrored).

and secondly, the sum of all angles around a single point in one side of a line must be 180°, as the line can be considered the diameter of a circle, the point the center is the circle, and all the angles on one side are a half-circle.

so,

angle 3 = 37°

that means

angle 1 = 37° too

angle 2 is supplementary to e.g angle 3 (that means they both add up to 180° as explained above).

angle 2 = 180 - 37 = 143°

and angle 4 = 143° too

Answer:

Here is the ans...hope it helps

Answer:

37.2mm

Step-by-step explanation:

A = ½bh

h = (2A)/b

h = (2(39.06))/2.1

h = 78.12/2.1

h = 37.2mm

Answer:

P': (3, 0)

Q': (4, 2)

R': (3, 4)

S': (2, 2)

Step-by-step explanation:

A rhombus, PQRS, has vertices at the points P(6, 2), Q(7, 4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down.

Rule: (x - 3, y - 2)

1. Using the given rule, find the new coordinates of the new image:

P': (6, 2) ➺ (6 - 3, 2 - 2) ➺ (3, 0)

Q': (7, 4) ➺ (7 - 3, 4 - 2)  ➺ (4, 2)

R': (6, 6) ➺ (6 - 3, 6 - 2) ➺ (3, 4)

S': (5, 4) ➺ (5 - 3, 4 - 2) ➺ (2, 2)

New coordinates:

P': (3, 0)

Q': (4, 2)

R': (3, 4)

S': (2, 2)

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Answer:

30 is an odd number

Step-by-step explanation:

hope it help

Question:

Which of the following is a closed statement?

Answer:

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

The systems of the equations for the word problem can be expressed as:

The system of equations is a set of simultaneous equations that comprises two or more equations expressed in algebraic terms.

From the given information, we are to determine two quantities

i.e.

So, 100% and 20% of saline solution produce 160 millimeters.

x + y = 160

Also, the combination of 100% and 20% of saline solution give an average of 25%.

The average now = sum of numbers/ the total numbers

25% = sum of numbers/160

sum of numbers = 25% (160)

Therefore, we can equate it to the mixture carried out by the nurse.

i.e.

25% (160) = 100%(x) + 20%(y)

100x + 20y = 4000

Therefore, the systems of the equations are:

x + y = 500              --- (1)

100x + 20y = 4000  --- (2)

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[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=59\\ \theta =40 \end{cases}\implies 59=\cfrac{(40)\pi r^2}{360}\implies 59(360)=40\pi r^2 \\\\\\ \cfrac{59(360)}{40\pi }=r^2\implies \cfrac{531}{\pi }=r^2\implies \sqrt{\cfrac{531}{\pi }}=r\implies 13\approx r[/tex]