find the mean, median, mode, and midrange. Then decide which you think is the most meaningful measure of average for that data set. For larger data sets, you should consider using technology. The number of beds at all licensed hospital in Hillsborough County, Florida, in 2015: 98 120 493 206 73 102 183 870 76 60 60 112 147 1,018 201

Answer:

Hey there!

This would be a 2.5% increase in salary.

Using the percent increase formula we find the answer to be a 2.5% increase.

Let me know if this helps :)

Answer:

2.5%

Step-by-step explanation:

((new - original) / original) * 100

328-320 = 8/320 = 0.025

0.025 * 100 = 2.5

Answer:

3.14 units²

Step-by-step explanation:

The key realization here is that this shape is one quarter of a circle.

Therefore, it's area will be [tex]\frac{1}{4}[/tex] of the whole circle's area.

So, let's first find the area as if this were a whole circle.

The formula is [tex]\pi r^2[/tex], and we know that the radius, r, is 2. So:

[tex]\pi\cdot2^2\\\\\pi\cdot4\\\\3.14\cdot4\\\\12.56[/tex]

Now we need to find one fourth of this, we can do this by dividing by 4.

[tex]12.56\div4=3.14[/tex]

Hope this helped!

Answer:

pi units squared

Step-by-step explanation:

(cant find pi sign)

(pi times r^2)/4

4pi/4

pi

Answer:

option (c)

Step-by-step explanation:

g.f= g(f(x))

= g(x2 -3)

= (x2 -3)+1

=x2 -2

The composite function g.f is option c) x² - 2.

Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions. They are also called function of functions.

Given: f(x) = x² - 3 and g(x)= x+1

The composite of the function;

g.f= g(f(x))

= g(x²-3)

= (x² -3)+1

= x² -2

Thus, The composite function g.f is option c) x² - 2.

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Answer:

[tex]\large \boxed{\mathrm{2 \ meters}}[/tex]

Step-by-step explanation:

The triangle formed is a right triangle.

We can use trig functions to solve.

The maximum length of the seesaw is the length of the hypotenuse of the triangle.

sin θ = opp/hyp

Let x be the hypotenuse length.

sin 30 = 1/x

x = 1/sin30

x = 2

The maximum length of the seesaw is 2 meters.

Answer:

2

Step-by-step explanation:

Take the right triangle formed by the seesaw.

Let x be the maximum heigth that we are looking for

● sin 30° = 1/x

Switch x and sin 30°

● x = 1 /(1/2)

● x = 1 ×(2/1)

● x= 1×2

● x = 2

Answer:

6/8 of a mile,

Step-by-step explanation:

if one furlong is 1/8 of a mile, the 6 shall be 1/8 added to itself 6 times, therefore it shall be 6/8.

Answer:

3/4 of a mile

Step-by-step explanation:

1 furlong = 1/8 mile

========     ====

6 forlongs = x

cross multiply

1*x = 6 * (1/8)

x = 6/8

reduce 6/8. Divide top and bottom by 2

x = 3/4

Answer:

C

Step-by-step explanation:

C is the only situation in which there is a clear constant of proportionality and no offset (no initial value).  Claires rate is ($4.50 + $0.30)/book, or $4.80/book.

Answer:

Option (B)

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The radius of a circle is 6. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

A) C/6 = π

B) C/12= π

C) C = 6πr

D) C = 12πr

Formula to get the circumference of the circle is,

C = 2πr = π × D

Where C = circumference of the circle

D = Diameter of the circle

By dividing with D on both the sides of the formula,

[tex]\frac{\text{C}}{\text{D}}=\pi[/tex]

Since, diameter 'D' = 2r,

[tex]\frac{\text{C}}{\text{2r}}=\pi[/tex]

[tex]\frac{\text{C}}{2\times 6}=\pi[/tex]

[tex]\frac{\text{C}}{12}=\pi[/tex]

Therefore, equation given in Option (B) will be the correct expression.

Step-by-step explanation:

-16t2 + 47t + 3 = 0

-16t2 + 48t - t + 3 = 0

-16t( t - 3) - 1 ( t - 3) = 0

-16t - 1 = 0. t - 3 = 0

-16t = 1 t = 3

t = 1/ - 16.

Answer:

Solution: (-4,-3)

Step-by-step explanation:

We need to complete the solution set of given graph.

We are given two graph one straight line and one parabola. We can see in graph both intersect at two points.

At x=-4 and x=-1

We can easily find the value of y corresponding to the value of x using given graph.

At x=-4,

First we draw a vertical line at x=-4 and see where it cut graph. From that point draw a horizontal line and see where y-axis cut.

The value of at x=-4 would be -3

Please see the attachment and see the vertical and horizontal line.

Thus, The Solution is (-4,-3)

Answer:

c

Step-by-step explanation:

the correct answer is c

plz mark me brainliest

Answer:

A=[tex]\frac{a+b}{2} (h)[/tex]

Step-by-step explanation:

Option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

The options are:

We have a formula for finding the area of the trapezoid:

[tex]\rm A= \dfrac{1}{2}h(b_1+b_2)[/tex]

Make a subject h and solve for h:

[tex]\rm \dfrac{2A}{(b_1+b_2)}= h[/tex]

or

[tex]\rm h = \dfrac{2A}{(b_1+b_2)}[/tex]

[tex]\rm b_2 = \dfrac{2A}{h}- b_1[/tex]

[tex]\rm b_1 = \dfrac{2A}{h}- b_2[/tex]

Thus, option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.

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Answer:

∠RPS = 49º

Step-by-step explanation:

∠RPS + ∠QPR = 88º

(5x + 34) + (8x + 15) = 88

13x + 49 = 88

13x = 39

x = 3

plug x into equations:

∠RPS = 5(3) + 34

∠RPS = 15 + 34

∠RPS = 49º

check work:

∠QPR = 8(3) + 15

∠QPR = 24 + 15

∠QPR = 39

∠RPS + ∠QPR = 88º

49 + 39 = 88

Answer:

49

Step-by-step explanation:

(5x+34) + (8x+15)= 88

13x + 49 = 88

13x= 39

x=3

RPS= 5(3)+34

RPS= 15 +34

RPS= 49

Answer: 355

And 33 eggs

Step-by-step explanation:

8 × 40 = 320

7/8 × 40= 35 Add 35+320 = 355

2 × 12= 24 3/4 of 12 = 9

Add 9+24=33

You can also make an improper fraction. Multiply the denominator by the whole number then add the numerator.

2 3/4 becomes 4×2=8

8+3=11 Divide the other factor by the denominator: 12÷4=3

Then multiply by the "improper" numerator 3×11=33

8 7/8 becomes 71/8

40/8=5

5×71=355

Answer:

355

Step-by-step explanation:

So, you first multiply 8 with 8 = 64

Then 64 + 7 = 71

So, 71 is the numerator and 8 stays the denominator.

Now you have 71/8 *40.

You "cut" 40 into five and 8 into 1, Because 40 divided by 8 is 5, so 40 becomes 5 and 8 becomes 1.

Now we have 71 * 5 = 355

hope it helps!

PLEASE brainliest me!

Move the decimal so that there is one non-zero digit on the left of the decimal point. (The number of decimal spaces you move = exponent on 10) Since the decimal is moving to the left, we know the exponent is positive.

2 + 7 = 9

Answer: 9 * 10^16

Answer:

No 1 would be 500 + 2400*30/100 = 500 + 720 = 1220

No 2 would be 500 + x*30/100

Step-by-step explanation:

Answer:

$1200 and 500+ .3x

Step-by-step explanation:

Use this equation: 500+ .3x and insert in 1200.

Made equation by taking garented amount, $500, and have that be added.  Sense you get 30 percent of of x (the amount of sales), have x be multiplied by .3 to get 30 percent.

Answer:

D

Step-by-step explanation:

Answer:

33.3

Step-by-step explanation:

Answer:

$12165.97

Step-by-step explanation:

100 + 4.1 = 104.1%

104.1% = 1.041

$5670 x 1.041^19 = $12165.97

Answer:

daily

Step-by-step explanation:

To answer this try plugging in each type of compund: daily, monthly, quarterly, and annually.

5670(1+0.041/365)^(365*19)

= 12356.04

365= daily

so your answer would be that the interest compounds daily.

I am sure the answer is D

Answer:

D 100

Step-by-step explanation:

60% = 60/100

70% =70/100

Answer:

1

Step-by-step explanation:

(-3 + 3) + (-2 + 3) =

= 0 + 1

= 1

Answer:

1/4 was eaten by mama and Baby also ate 1/4

Step-by-step explanation:

goldilocks got 0/4

if papa ate half and baby and mama each ate 1/4 they equal up to 2/4 which is 1/2

papa ate 1/2 and 1/2+1/2=1

Mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.

The fraction is a rational number that simply divides two numbers and is written in the form a/b where a is called the numerator and b is called the denominator.

Let the full part of the pie is a.

Papa bear ate 1/2 part of the pie.

Then papa bear ate = (1/2)a

rest of the pie is= a- (1/2)a= (1/2)a

Mama bear ate (1/2) of the rest of the pie.

so mama bear ate = (1/2)(1/2)a= (1/4)a part of pie
rest of pie after mama bear ate = (1/2)a- (1/4)a= (1/4)a

Then baby bear ate (1/2) of the rest of the pie.

so baby bear ate = (1/2)(1/4)a= (1/8)a part of pie
rest of pie after baby bear ate = (1/4)a- (1/8)a= (1/8)

The rest of the part was left for GoldLiocks.

Therefore mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.

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Answer:

its

1/7

step by step

Answer:

The answer is H because there are 7 balls in total and two of which is red so the possiblity of getting the red ball is 2/7

Answer:

see explanation

Step-by-step explanation:

The line x = - 2

Is a vertical line parallel to the y- axis

It passes through all points with an x- coordinate of - 2

Answer:

70

80

Step-by-step explanation:

Assuming these ratios stay consistent, if each plant recycled 350 total bottles in a day, plant B would recycle___70____ more red bottles than plant A. Plant C would recycle_____80___________ more red bottles than plant D.

A = We first multiply 150 x 2.333 (2 1/3)  = 350 tbottles 60 x 2.333 = 140

B = Then multiply  350/200  = 200 x 1.75 350 tbottles  RED = 120 x 1.75=210

First answer = 210-140 = B recycles 70 more than A

C = We first multiply 175 x 2 = 350 tbottles  RED = 110 x 2 = 220

D = We first find LCM of 180 and 350

Then find 18x now equals 1/10 x 35x tbottles RED = 72 / 18 = 4  then 4 x 35 = 140

Second answer = 220-140 = C recycles 80 more than D.

Answer:

Plant B would recycle 60 more red bottles than plant A. Plant C would recycle 38 more red bottles than plant D.

Hope this helps!

Sorry for answering so late!

Answer:

1st circle: 1.25

Second circle: 2

Step-by-step explanation:

We can use the cross product property here to find the value of what's in the circles.

Let's first look at the first two fractions.

[tex]\frac{x}{5} = \frac{1}{4}[/tex]

We can multiply the cross values and divide by the number that is diagonal to the variable.

[tex]5\cdot1 = 5\\5\div4 = 1.25[/tex]

So 1.25 goes in the first circle.

Now let's look at the last two circles and use the same property to find the missing value.

[tex]\frac{1}{4} = \frac{0.5}{x}\\ 4\cdot0.5 = 2\\2\div1 = 2[/tex]

So 2 goes in the second circle.

Hope this helped!

Answer:

x = 5/4

Step-by-step explanation:

Use the variable 'x' instead of 'the circle.'  Then:

 x         1

----- = ------

 5         4

Cross-multiplying, we get

4x = 5, and so x = 5/4

Answer:

a(1) = 72

a(n) = a (n-1) - 18

Step-by-step explanation:

This is a simple series of multiplication of 18 . If we divide all the numbers by 18 we get

72/18, 54/18, 36/18. 18/18, 0/18

4      , 3      , 2     , 1 ,       0

So we can see that the numbers are in  decreasing order as the multiples of 18.

in other words the first term is a= 72

from which we subtract 18 and get 54 and so on.

So the general rule would be

a(1) = 72

a(n) = a (n-1) - 18

Where n and (n-1 ) are subscripts. We are just subtracting 18 from the number to get the answer.

72-18= 54

54-18= 36

36-18= 18

18-18=0

Answer:

B

Step-by-step explanation:

From the graph we can notice that the coordinates of the cities are:

● A(2,3)

● B(6,-6)

There are many methods to figure out the distance between A and B. We will use the distance formula.

Let d be the distance between A and B.

● d = √[(2-6)^2 + (3-(-6))^2]

● d = √[(-4)^2 + (3+6)^2]

● d = √[ 4^2 + 9^2 ]

● d = √(16+81)

● d = √(97)

Answer:

The answer is B) 97 units

Step-by-step explanation:

From the graph we can notice that the coordinates of the cities are:

● A(2,3)

● B(6,-6)

There are many methods to figure out the distance between A and B. We will use the distance formula.

Let d be the distance between A and B.

● d = √[(2-6)^2 + (3-(-6))^2]

● d = √[(-4)^2 + (3+6)^2]

● d = √[ 4^2 + 9^2 ]

● d = √(16+81)

● d = √(97)

Answer:

[tex]\boxed{x=1}[/tex]

Step-by-step explanation:

[tex]2(10-2x) = 4(3x + 1)[/tex]

[tex]\sf Expand \ brackets.[/tex]

[tex]20 - 4x = 12x + 4[/tex]

[tex]\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.[/tex]

[tex]20 - 4x - 12x - 20 = 12x + 4 - 12x - 20[/tex]

[tex]-16x = -16[/tex]

[tex]\sf Divide \ both \ sides \ by \ -16.[/tex]

[tex]\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}[/tex]

[tex]x=1[/tex]

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▹ Answer

x = 1

▹ Step-by-Step Explanation

2(10 - 2x) = 4(3x + 1)

Simple terms are written last:

2(-2x + 10) = 4(3x + 1)

Distributive Property:

-2 * 2x + 2 * 10 = 4 * 3x + 4

x = 1

Hope this helps!

CloutAnswers ❁

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Answer:

10.5% compounded quarterly will be worth more at the end of 7 years.

Step-by-step explanation:

Investment 1:

Principal=$1,000

t=7 years

n=12 months

r=9%=0.09

FV=PV(1+r/n)^nt

Where,

FV=future value

PV=present value

r=interest rate

t=time (years)

n=number of periods

FV=PV(1+r/n)^nt

=1000(1+0.09/12)^12*7

=1000(1+0.0075)^84

=1000(1.0075)^84

=1000(1.8732)

=1,873.2

FV=$1,873.2

Investment 2:

Principal=$1,000

t=7 years

r=10.5%=0.105

n=4

FV=PV(1+r/n)^nt

=1000(1+0.105/4)^4*7

=1000(1+0.02625)^28

=1000(1.02625)^28

=1000(2.0658)

=2,065.8

FV=$2,065.8

10.5% compounded quarterly will be worth more at the end of 7 years.