The area of a sign in the shape of a square is 219 square inches. Which measurement is closest to the side length of
this sign in inches?
55 in.
B
15 in.
7 in.
D 110 in.

Answer:

a) Range = 1.39

b) the sample variance is 0.1597

c) the sample standard deviation is 0.3996

Step-by-step explanation:

Given the data in the question;

a) Find the range.

To determine the range, we simple subtract the smallest value from the largest value. i.e

Range = largest value - smallest value

from data set; our smallest is 0.53 while our largest value is 1.92

so

Range = 1.92 - 0.53 = 1.39

b) Find the sample variance.

To determine our variance, we use the following formula;

∑([tex]X_{i}[/tex] - [tex]x_{bar}[/tex])² / n - 1 = [ ∑[tex]X_{i}[/tex]²/n-1 ] - [ [tex]\frac{n}{n-1}[/tex]([tex]x_{bar}[/tex])²]

where [tex]x_{bar}[/tex] =  ∑[tex]X_{i}[/tex]/n

n is sample size = 14 so lets calculate ∑[tex]X_{i}[/tex]

∑[tex]X_{i}[/tex] = 0.99 + 1.92 + 1.23 + 0.85 + 0.65 + 0.53 + 1.41  + 1.12 + 0.63 + 0.67 + 0.69 + 0.60 + 0.60 + 0.66

∑[tex]X_{i}[/tex]  =  12.55    

∑[tex]X_{i}[/tex]² = 0.99² + 1.92² + 1.23² + 0.85² + 0.65² + 0.53² + 1.41²  + 1.12² + 0.63² + 0.67² + 0.69² + 0.60² + 0.60² + 0.66²

∑[tex]X_{i}[/tex]² = 13.3253

so

our  [tex]x_{bar}[/tex] =  ∑[tex]X_{i}[/tex]/n = 12.55 / 14 = 0.8964

so our Variance  will be;

= [ ∑[tex]X_{i}[/tex]²/n-1 ] - [ [tex]\frac{n}{n-1}[/tex]([tex]x_{bar}[/tex])²]

= [ 13.3253 / 14-1 ] - [ [tex]\frac{14}{14-1}[/tex] (0.8964)²]

= 1.025 - 0.8653

= 0.1597

Therefore, the sample variance is 0.1597

c) Find the sample standard deviation.

we know that standard deviation is the square root of variance;

standard deviation = √Variance

standard deviation = √0.1597

standard deviation = 0.3996

Therefore, the sample standard deviation is 0.3996

Answer:

112

Step-by-step explanation:

A = 2 (wl+hl+hw)

A = 2 (4 x 5 + 4 x 5 + 4 x 4)

A = 2 (20 + 20 + 16)

A = 2 x 56

A = 112

Answer:C

Step-by-step explanation:

That’s most likely the answer

Answer:

this could be wrong but for this question i put 10 as the first blank and for the second blank i put - and then for the third i put 5

Step-by-step explanation:

Im not sure on this. I have the same fsq and we haven't learned this yet but this is what I put because the sequence is subtracting 5  

Answer:

Step-by-step explanation:

the answers is 75,000,000

Answer:21.88

Step-by-step explanation:

Answer:

4/24

Step-by-step explanation:

[tex]\frac{1}{6} = \frac{1*4}{6*4}=\frac{4}{24}[/tex]

Answer:

28 divided by 7 is 4

Step-by-step explanation:

example: There 28 cupcakes if there are 7 people how many will each get? Ok so you have 28 groups of 7 and then you'll get your answer which is 4.

The mathematical expression for the phrase 28 divided by 7 is 28 ÷ 7 and the value of the expression is 4.

It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

28 divided by 7,

The mathematical expression for the above statement can be written as shown below,

28 ÷ 7

Calculate the value of the expression as shown below,

28 ÷ 7 = 4

Thus, the expression is 28 ÷ 7.

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Answer:

40/100

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

If 3/10 = 30/100, then 4/10 = 40/100

Answer: 3 cents

Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.

Answer:

approximately 7 CDs for her bonus

Answer:

Toris can buy about 7 CDs

Step-by-step explanation:

63 Divided by 9 = 7

Answer: D on Edg

Step-by-step explanation:

Answer:

(1, -1)

Step-by-step explanation:

If you end up at (2, -1), after moving 1 unit to the right, that implies that you started at (1, -1).  Note that 1 + 1 = 2.

Answer:

(1,-1)

Step-by-step explanation:

Because as it said go across 1 to the right , just go back 1 to the left so you are at were you started

Answer:

The variance of this distribution is 42353.2

Step-by-step explanation:

For each visitor, there are only two possible outcomes. Either they clicked on the button, or they did not. Visitors are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

In this question:

226977 visitors, so [tex]n = 226977[/tex]

56330 clicked, so [tex]p = \frac{56330}{226977} = 0.2482[/tex]

Then

[tex]V(X) = 226977*0.2482*(1 - 0.2482) = 42353.2[/tex]

The variance of this distribution is 42353.2

Answer:

i think you put the 7.3X2+9.1 then divided it by 8.7 -6.1

Step-by-step explanation:

let me see if i can help you

Answer:

18.1

Step-by-step explanation:

(7.3)2+9.1 / (8.7-6.1)

PEMDAS

Paranthesis first so: 7.3 x 2 = 14.6 , 8.7 - 6.1 = 2.6

So the equation becomes 14.6 + 9.1 / 2.6

Division next since there are no exponents or multiplication: 9.1 / 2.6 = 3.5

Equation becomes 14.6 + 3.5

Addition next: 14.6 + 3.5 = 18.1

9514 1404 393

Answer:

  no, the triangles are not similar

Step-by-step explanation:

The given ratios tell you corresponding side ratios are ...

  ED : DC : EC = 8 : 10 : 12 = 4 : 5 : 6

  AB : BC : AC = 12 : 15 : 21 = 4 : 5 : 7

Corresponding sides do not have the same ratios. The given information can be used to prove the triangles are NOT similar.

The graph is transformed from that of the parent function by using the trigonometric relationship between tangent and cotangent function, dilation of the independent variable and vertical dilation.

Let be [tex]f(x) = \cot \frac{x}{5}[/tex] the parent function and [tex]g(x) = \frac{1}{4}\cdot \tan x[/tex] the child function. We can obtain the child function by applying the following three steps:

In consequence, the graph is transformed from that of the parent function by using the trigonometric relationship between tangent and cotangent function, dilation of the independent variable and vertical dilation. [tex]\blacksquare[/tex]

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Answer: first is stretched horizontally, second is compressed vertically

Step-by-step explanation:

Answer:

C. Each calculator costs $80.

Step-by-step explanation:

Linear equation:

Has the following format:

[tex]y = mx + b[/tex]

In which m is the slope, and the meaning is how much the output changes when the input changes by 1 unit.

In this question:

Amount remaining after buying x calculators:

[tex]y = 1000 - 80x[/tex]

So the slope of -80 means that each calculator costs $80, since after buying a calculator, 80 is retired from the amount.

The answer is given by option C.

Answer: watter bottle : $1.61

Flashlight : $3.20

Step-by-step explanation:

Answer:

i will be at small table bcz i will get more pizza there

Answer:

15y^2-45

Step-by-step explanation:

5y^2+10y^2-45 = 15y^2-45

Answer:

(2 × 7 × 13) / (7 × 11) =

((2 × 7 × 13) ÷ 7) / ((7 × 11) ÷ 7) =

(2 × 7 ÷ 7 × 13)/(7 ÷ 7 × 11) =

(2 × 1 × 13)/(1 × 11) =

(2 × 13)/11 =

26/11;

Step-by-step explanation:

Answer:

182/77 is the normal answer

the answer is 26/11 in simplest form

Answer:

19

Step-by-step explanation:

Answer:

19

Step by step explanation:

The domain of the function is 0 ≤ x ≤ ∞.

Option 3 is correct

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

As per the given data:

The function is y = √x

Square root is not defined to for negative values. For negative values, the answer of square root is a complex number which is not in real domain.

So any such values, for which the expression is not defined, are not in the domain. So the domain of the square root of x will be all real numbers greater than or equal to 0.

Hence, the domain of the function is 0 ≤ x ≤ ∞

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Answer:

(see below)

Step-by-step explanation:

First, you know that the first statement given is Given.

Now that you have that, you want to concentrate on your goal, and that goal is to prove that ΔGHI is an isosceles. To do this, you need to prove that the two base angles or two adjacent sides are congruent.

To do this, you can prove ΔGHJ ≅ ΔIHJ first, then use CPCTC.

Because HJ is the perpendicular bisector of GI, GJ ≅ IJ. this will be under Definition of Perpendicular Bisectors because it's a line which cuts a line segment into two equal parts at 90°.

This also means that ∠GJI and ∠IJH are right angles under Definition of Perpendicular Bisectors. Do not combine the two statements.

To clarify everything, ∠GJI ≅ ∠IJH because "all right angles are congruent."

It's also clear that these two triangles share a side, so HJ ≅ HJ. This is the Reflexive Property of Congruence, stating that for any real number a, a ≅ a.

Now you can prove these two triangles congruent by the SAS Postulate.

Using CPCTC, corresponding parts of congruent triangles are congruent, GH ≅ HI.

Your last statement should be ΔGHI is an isosceles because of Definition of Isosceles Triangle. You also want to state the statement exactly as given as the question.

Your proof should look something like IMAGE.A.

Answer: x=4, y=-2

Step-by-step explanation: 4x+y=14, x-2y=8

4x+y-y=14-y

4x/4=14/4-y/4

x=14-y/4-(2y)(4)/4

4(14-9y)/4=(8)(4)

14-9y-14=32-14

-9y/-9=18/-9

y=-2

(14)-(-2)/4

14+2/4

16/4

4

x=4

x=4, y=-2

Answer:

Solution of given system of equations is: x=4, y=-2 or (4,-2)

Step-by-step explanation:

Solve the equation using substitution

4x+y=14

x-2y=8

Substitution method involves placing value of x or y from one equation to other equation.

We have

[tex]4x+y=14--eq(1)\\x-2y=8--eq(2)\\[/tex]

Finding value of x from equation 2

x-2y=8

x=2y+8

Put this value of x in equation 1

[tex]4x+y=14Put\:x=2y+8\\4(2y+8)+y=14\\8y+32+y=14\\9y=14-32\\9y=-18\\y=\frac{-18}{9}\\y=-2[/tex]

We get y=-2

Now, put value of y into equation 2 to find value of x

[tex]x-2y=8\\x-2(-2)=8\\x+4=8\\x=8-4\\x=4[/tex]

We get x = 4

So, solution of given system of equations is: x=4, y=-2 or (4,-2)

she could buy atleast 8, 15 dollar video games

Step-by-step explanation:

240 -120(for her bank)

then you'll b left w 120

divide 120 by 15 and get 8