A set of books sits on a shelf at a store. This line plot
shows the thickness of each book. Amelie buys the
thickest book on the shelf. Raj buys one of the thinnest
books on the shelf.
How much thicker is Amalie's book than Raj's book?

Answer:

Step-by-step explanation:

Growth:

You put 100 dollars into a fund which accumulates at a rate of 5% per annum. How much will be in the fund at the end of 10 years (to the nearest cent)?

answer: 100(1.05)¹⁰=162.89

Decay:

You buy a car for 10,000, and each year its value decreases by 5%. What is the car worth 10 years from now (to the nearest cent)?

answer: 10000(.95)¹⁰=5987.37

Answer:

4

Step-by-step explanation:

5+4=9

c=9

9<10

Answer:

(1, -2) is the coordinate of B' after a rotation of 90 degrees

I think its 16 but im not completly sure

Answer:

C. Wave-like and repetitive

Step-by-step explanation:

I calculated it logically

Answer:

Thats cool man.

Step-by-step explanation:

Answer:

3,098

Step-by-step explanation:

when you do the ,ath you will get it

Answer:

B. 1

Step-by-step explanation:

I calculated logically

Answer:

9.8 km/h

Step-by-step explanation:

Since there are 60 minutes in an hour, we can find his speed in km/h by multiplying 4.9 by 2.

4.9(2)

= 9.8

This means that he will travel 9.8 km in 60 minutes (1 hour).

So, his average speed is 9.8 km/h

Answer:

450

Step-by-step explanation:

I got this by multiplying 45*10 which equals 450 that is how i got it

Answer:

[m] slope = -2

[b] y-intercept = -1 ; (0, -1)

[y = mx + b] slope-intercept = -2x – 1

Step-by-step explanation:

Given the algebraic equation 6x + 3y = -3 currently in standard form:

Ax + By = C →

By = C – Ax →

By = -Ax + C →

y = -Ax / B + C / B →

y = (-A / B)x + (C / B) →

y = mx + b →

m = -A / B. b = C / B.

6x + 3y = -3

↓ ↓ ↓

A = 6. B = 3. C = -3.

[Substitute]

m = -A / B. b = C / B

m = -(6) / (3). b = (-3) / (3)

↓ ↓

m = -2. b = -1.

↓. ↓

Slope = -2. y-intercept = -1.

_______________________

Slope is ∆y/∆x [change in y over the change in x] = y2 – y1 / x2 – x1.

The y-intercept is the point where x is 0.

The easiest way to determine this is to substitute 0 in for x in an equation and solve for y.

This means that the y intercept in coordinate form is (0, b).

Answer:

1736.58

Step-by-step explanation:

16.86 x 103 = 1736.58

Answer:

1736.58

Step-by-step explanation:

Answer:

A (obviously)

Step-by-step explanation:

Info Given

Answer:

A) 18 students

Step-by-step explanation:

Answer:

Solution given:

-2x²+7x-6=0

2x²-7x+6=0

Comparing above equation with ax²+bx+c

we get

a=2

b=-7

c=6

By using Vieta's theorem

X1+X2=[tex] \frac{-b}{a} [/tex]=[tex] \frac{7}{2} [/tex]

again

X1X2=[tex] \frac{c}{a} [/tex]=[tex] \frac{6}{2} [/tex]=3

Answer:

7 + 6

5 + 11

Step-by-step explanation:

the lengths of the two shorter sides of a triangle must add up to more than the length of the third side.

3 + 4 = 7 ≤ 8    no

7 + 6 = 13 > 12   yes

5 + 11 = 16 > 13  yes

4 + 6 = 10 ≤ 12  no

4 + 6 = 10 ≤ 10  no

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

Explanation:

We'll use the triangle inequality theorem. Recall that this theorem says that a triangle is only possible if and only if adding any two sides leads to a sum larger than the third side.

Let's say we had a triangle with sides a,b,c. Such a triangle is only possible if all three conditions hold true

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

Let's go through each answer choice to see if those conditions hold up.

To wrap things up, only choice B and choice C are possible triangles because adding any two sides leads to a sum larger than the third side.

Answer:

The answer to this equation is A.

9514 1404 393

Answer:

Step-by-step explanation:

Reflection over the y-axis and translation 3 right is modeled by the transformation ...

  (x, y) ⇒ (-x +3, y)

Then the image end points are ...

  A(2, -5) ⇒ A'(-2+3, -5) = A'(1, -5)

  B(5, -3) ⇒ B'(-5+3, -3) = B'(-2, -3)

_____

In the attached figure, the reflection is shown as A'B' in light purple. The line after the final translation is shown as A"B" in blue.

Answer:

A = Not a paired sample

B = paired sample

C = Not a paired sample

Step-by-step explanation:

Paired samples also commonly referred to as dependent samples are often characterized by having to different data points which are taken at different times, location and so on. Such that each pair of data points or observation can be matched based on the basis of the subject or sample name usually for the sake of analysing if any statistical difference exists between the occurrence of each observation.

For the instances given above ;

a.) this isn't a paired sample, because Professor Quick and Professor Quacks students are different, hence each student has only one reading and as such a match of the two test scores cannot be made on the basis of student name or identity. Hence, it is not a paired sample

B.) This is a paired sample, two different readings are available for each students ; one at the beginning, the other at the end. Hence, it is a paired sample

C.) This is not a paired sample, because the subjects used to obtain the weight of 10 year old in 1994 aren't the same samples used in 2009

This is the answer hope it helps

The area of the square field is 4840 hectares.

Perimeter of the square is defined as addition the lengths of the square's four sides.

Perimeter of the square equation is 4a

Where, a is length of the square

Given data as :

Perimeter of the square field = 880 m

Side of the square = Perimeter/4

Side of the square = 880/4

Side of the square = 220 m

So, length of each side of the square is 220 m

Area of square = Side × Side

Area of square = 220 m  × 220 m

Area of square = 48400 square meters

Area of square = 48.4 square kilometers

As we know that 1 sq km = 100 hectares

So, 48.4 km = 48.4 × 100 = 4840 hectares

Hence, the area of the square field is 4840 hectares.

Learn more about Perimeter of square here:

https://brainly.com/question/11495285

#SPJ2

The distance between two points is given by the expression,

[tex]d = \sqrt{ {(y2 - y1)}^{2} + {(x2 - x1)}^{2} } [/tex]

Plugging in our values,

[tex]d \: = \sqrt{ {(1 - 9)}^{2} + {( - 4 - - 1)}^{2} } \\ d \: = \sqrt{ {( - 8)}^{2} + {( - 3)}^{2} } \\ d \: = \sqrt{64 + 9} \\ d = \sqrt{73} [/tex]

So, the distance between the points in it's exact radical form is

[tex] \sqrt{73} \: units[/tex]

Answer:

[tex]a^2(ab^{3}-b^{2}-c^{2})[/tex]

Step-by-step explanation:

Given

[tex]a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}[/tex]

Required

Factor

[tex]a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}[/tex]

Factor out [tex]a^2[/tex]

[tex]a^2(ab^{3}-b^{2}-c^{2})[/tex]

The expression cannot be further factored

Answer:

-20 3/4, - 15 1/2, - 14 3/4, - 1/4

Step-by-step explanation:

Given the depths :

-14 3/4, - 15 1/2, - 1/4, - 20 3/4

Ordering from least to greatest :

Since the numbers are negative; arranging the numbers as it would appear on a number line ; Large whole number negative values are always the least.

-20 3/4, - 15 1/2, - 14 3/4, - 1/4

Answer:

true

Step-by-step explanation:

.................

Answer:

Binomial probability distribution concept & application, example

Step-by-step explanation:

Yes, this represents a binomial setting. As, it is used for finding probability of - particular number of success outcomes , from repetitive or multiple events.

Here

Binomial probability = N c r . (P)^r . (Q)^ (n-r)

Ex :  P( 5 small fish out of 20) = 20c5  (0.30)^5  (0.70)^15