What are not a benchmark fraction

Answer:

The sample size is [tex]n = 2[/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  [tex]\sigma = 2.539[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>  [tex]n = [\frac{2.58  *  2.539  }{4.266} ] ^2[/tex]

=>  [tex]n = 2[/tex]

Answer:

The answer is the last option (d.)

Step-by-step explanation:

The domain is the X values and the range is the Y values.

Answer:

Answer: Domain {-6,-1,0,3} Range: {-7,1,9,-2}

Step-by-step explanation:

I took the test and it was correct.

Answer:

I think the answer (-2, 6)

Answer:

5 x 6

Step-by-step explanation:

Answer:

[tex](\frac{32}{243})^{-\frac{4}{5}}=39.0625[/tex]

Step-by-step explanation:

Given

[tex](\frac{32}{243})^{-\frac{4}{5}}[/tex]

Required

Solve

[tex](\frac{32}{243})^{-\frac{4}{5}}[/tex]

Express 32 as 2^5 and 243 as 3^5

[tex](\frac{2^5}{3^5})^{-\frac{4}{5}}[/tex]

The exponent can be expressed as 1\5 * -4

So we have:

[tex](\frac{2^5}{3^5})^{\frac{1}{5} * -4}[/tex]

Apply law of indices:

[tex](\frac{2^{5*1/5}}{5^{5*1/5}})^{-4}[/tex]

[tex](\frac{2}{5})^{-4}[/tex]

In indices:

[tex](\frac{a}{b})^{-c} = (\frac{b}{a})^{c}[/tex]

So, the expression becomes

[tex](\frac{5}{2})^{4}[/tex]

[tex](\frac{5^{4}}{2^{4}})[/tex]

[tex]\frac{625}{16}[/tex]

[tex]39.0625[/tex]

Hence:

[tex](\frac{32}{243})^{-\frac{4}{5}}=39.0625[/tex]

Answer:

125

Step-by-step explanation:

5 cubed is literally 5 x 5 x 5

So 5 x 5 = 25

multiply 25 with 5 and you get 125 as the answer.

The Answer Is 8

Your Welcome!♠

Answer:

18.5

Step-by-step explanation:

First we plug in the number

-1 1/2 is the same as -1.5

Plugging this in we will have:

15(-1.5) + 4 =

-22.5 + 4 =

-18.5

Answer:

a

Step-by-step explanation:

Answer:

(B). 12.9 cm²

Step-by-step explanation:

a = 8 cm , b = 5 cm , c ≈ 12.259 cm

P = 25.259 , s = P/2 ≈ 12.63

[tex]A_{ABC}[/tex] ≈ 12.856 ≈ 12.9 cm²

Answer:

X=3

Step-by-step explanation:

9+x=12

x=12-9

so x is 3

Answer:

3

Step-by-step explanation:

Let's go through this together.

Step 1) Rearrange Terms (Optional)

9 + x = 12

x + 9 =12

Step 2) Subtract 9 from both sides of the equation

x + 9 = 12

   -9    -9

Step 3) Simplify

If we subtract 9 on both sides, we end up with:

x + 0 = 3

Since 0 no longer has any part in the equation, we can conclude that:

x = 3

Answer:  448 dollars

=============================================

Work Shown:

P = 400 is the balance

r = 0.12 is the decimal form of the interest rate

t = 1 is the number of years

Use those values to get the simple interest to be

i = P*r*t

i = 400*0.12*1

i = 48

The amount of interest charged is $48

Add this onto the balance of 400 dollars and the total amount Aaron owes is P+i = 400+48 = 448 dollars.

Answer: k=8

Step-by-step explanation:

Answer:

k=8

Step-by-step explanation:

====================================================

Explanation:

Let's say we have the following code names for each shape

We have 4! = 4*3*2*1 = 24 ways to arrange them without any restrictions

Some permutations have C and S together, while others do not.

Example of them together: CSTP

Example of them separated: CTSP

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

Let's say Amanda used a rubberband or glue to connect the circle to the square. This way the two shapes would always be together. They combine to form a new shape of sorts.

Let's call this new shape "polygon" and define it as

L = polygon

The codename L is just a placeholder for CS or SC.

So instead of the set of these codenames {C,S,T,P}, we have this reduced set {L,T,P}

No matter how we arrange the items in {L,T,P}, the circle and square are always going to be together. Again, anywhere you see an L, you replace it with CS or SC.

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

There are 3 letters in {L,T,P} so there are 3! = 3*2*1 = 6 ways to arrange those 3 letters. There are 2 ways to arrange S and C within any of those 6 arrangements mentioned earlier.

So there are 2*6 = 12 different ways to arrange the four shapes such that S and C are together somehow.

Recall earlier we found 24 ways total to arrange the shapes without restriction. This must mean there are 24 - 12 = 12 permutations such that S and C are not together. This is the final answer we're after.

Answer:

Angle 1 is obtuse, and adjacent. Angle 2 is obtuse, and is also adjacent.

Step-by-step explanation:

Both seem to be obtuse since they're not right triangles, and they're both adjacent because they have two angles that share the same vertex. Hope this helped :)

Answer:

y = -3x + 120

Step-by-step explanation:

Hope this helps!

Answer:

The length of the triangle is 3x given

The no of sides is 3x 3x 3x so 3x+3x+3x= 180

9x=180 x= 20

3x =3*20=60

3x=3*20=60

3x=3*20=60

Answer:

61

Step-by-step explanation:

   3x + 28

   5x + 52

+   2x - 10    

  10x + 70 = 180º

      x = 11

3(11) + 28 = 61º

Answer:

incorrect.

Step-by-step explanation:

the slope of the line perpendicular is the negative reciprocal, which in this case is -1/2

Answer:

False

Step-by-step explanation:

To find the slope of a perpendicular, flip the slope and change the sign.

The slope pf the given line is 2.

The slope of a line perpendicular to y = 2x + 1 is -1/2.

Answer: False

Answer:

Price of tne Vest + $40 - 1.40 = $38.6

Step-by-step explanation:

3.5% * n = $1.40

0.035 * n = $1.40

0.035/0.035 * n = $1.40/0.035

n = $40

The price of the vest not including the tax is, $40

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Since, Tax is a sum levied by the government or an agency of the government on goods and services. taxes increases the price of products

Now,

Let p = price of a vest

Hence, from the question, this equation can be formed,

⇒ 35% of p = $1.40

⇒ 0.035 x p = $1.4

divide both sides of the equation by 0.035;

⇒ p = $40

Thus, The price of the vest not including the tax is, $40

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Complete question is this;

Jill paid a sales tax of $1.40 when she bought a vest. What was price of vest not including tax? Sales tax = 3.5%

Answer:

True

Step-by-step explanation:

y = 3x - 5 does have slope 3.

Let's test point (2, 1).

y = 3x - 5

1 = 3(2) - 5

1 = 6 - 5

1 = 1

Point (2, 1) does work in the equation.

Answer: True

Answer:

y = [tex]\frac{5}{-6}[/tex]x + 2

Step-by-step explanation:

Given coordinates: (6,-3) (0,2)

y = mx + b

y = mx + 2

[tex]\frac{2+3}{0-6}[/tex] = [tex]\frac{5}{-6}[/tex]

y = [tex]\frac{5}{-6}[/tex]x + 2

Answer:

310

Step-by-step explanation:

65 x 5

Answer:

is this a question......

Answer:

Width  = 166.7 ft

Length = 250 ft.

Step-by-step explanation:

From the diagram at the ATTACHMENT

Let us denote the the length of the rectangular area as "x" and

the width of the rectangular area as "y"

Since, cost of the fence on the western side is shared with a neighbor, we can say  it is $7 per foot. Otherwise, it is $14 per foot. The northern length is not fenced.

From the question, we know that the  cost is not to exceed $7000, therefore we can expressed it as

7y + 14x + 14y = 7000

14x + 21y = 7000

Divide through by 14, we have

(x + 1.5) = 500  ------------- eqn (*)            

But the area of the fenced

= A = (x×y)      -------------- eqn  (**)                    

Substitute (*) into (**) we have

A = (500 - 1.5y)*y

= 500y - 1.5y²

In other to maximize the Area, we can find the differential of A

A'(y) = 500 - 3y

At A'(y) = 0.

500-3y= 0

3y=500

y= 166.67 ft

From eqn(*)

(x+ 1.5) = 500

x = 500 - 1.5y

500-1.5(166.67)

= 250ft

Therefore, the dimensions for the plot that would enclose the most area are

Width  of 166.67 ft and Length = 250 ft.

Answer:

X∈[tex]\frac{5}{63}, -\frac{23}{63}[/tex]

Step-by-step explanation:

Answer:

The range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].

Step-by-step explanation:

Let [tex]f\circ g \,(x) = 2^{x+1}[/tex], [tex]\forall\, x \in \mathbb{R}[/tex]. The graphic represents a power function, whose lower bound is the horizontal asymptote [tex]y=0[/tex]. From the graphic we find the range of the composite function corresponds to the values of the function associated with the vertical axis (y-axis).

Hence, the range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].

Answer:  

✔ y > 0.

Step-by-step explanation:

edg 2021

Answer:

6 LB 12 OZ

Step-by-step explanation:

16 OZ in a LB

9 LB - 2 LB = 7 LB

4 OZ - 12 OZ difference of 8 OZ

4 - 4 = 0 then 16 OZ in a LB

4 remaining - 16 = 12 dropping the 7 LB to 6 LB

Answer:

6lb 8oz

Step-by-step explanation:

9lb 4oz

+16

8lb 20 oz

-2 lb 12oz =

Answer:

y=5x-15, y=-1/5x-23/5

Step-by-step explanation:

Parallel lines have the same slope, so we know the line that is parallel to y=5x-3 must have slope 5.

We now have y=5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.

y=5x+b

-5=5(2)+b

-5=10+b

b=-15

So the equation of the parallel line is y=5x-15.

Perpendicular lines must have slopes that multiply to -1, so we know the line perpendicular to y=5x-3 must have slope -1/5.

We now have y=-1/5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.

y=-1/5x+b

-5=-1/5(2)+b

-5=-2/5+b

b=-23/5

So the equation of the perpendicular line is y=-1/5x-23/5.

Answer:

-2 + 9i

Step-by-step explanation: