What is the first step when applying properties of operations to divide 73.85 by 4.1?
Multiply the divisor and dividend by 10.
Multiply the divisor and dividend by 100.
Divide the divisor and dividend by 10.
Divide the divisor and dividend by 100.

hope it helps you see the attachment for further information

Answer:

Probability[Number of 6 random sample do not have cavities] = 0.8

Step-by-step explanation:

Given:

Number of student do not have cavities = 60%

Number of random sample = 9 children

Find:

Probability[Number of 6 random sample do not have cavities]

Computation:

n = 9

p = 60% = 0.6

P(At least 6)  

Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than 6)  

Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than or equal to 6)

Probability[Number of 6 random sample do not have cavities] = 0.8

The probability of 9 children selected from this school, at least 6 do not have cavities is 0.80.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Sixty percent of all children in a school do not have cavities.

The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities will be

n = 9

p = 0.60

Then we have

[tex]\rm P = 1 - P(less \ than \ or \ equal \ 6)\\\\P = 0.8[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

The sale price of the TV is $ 300.

Step-by-step explanation:

Given that a television costs $ 450, but during a special sale, it’s marked 1⁄3 off, to determine what’s the sale price of the TV the following calculation must be performed:

1/3 = 0.333

1 - 0.333 = 0.666

450 x 0.666 = X

300 = X

Therefore, the sale price of the TV is $ 300.

Answer:

(-0.5, -1)

Step-by-step explanation:

A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising)

Answer:

FE = 3

Step-by-step explanation:

FE + ED = 11.

(2x - 17) + (x-2) = 11

Combine like terms, and you'll get:

3x -19 = 11

3x = 11+19 = 30

x = 10

FE = 2x - 17

= 2(10) - 17

= 20 - 17

= 3

Answer:  AREA OF H IS S= R4

Step-by-step explanation:

Answer:

The answer is A, the CPI is 25.50, and the rate of inflation is 2%.

Step-by-step explanation:

I took the test and I know the correct answer. :)

Answer:

E) 102 and 2%

Step-by-step explanation:

Answer:

[tex]a=-\frac{2}{3}[/tex]

Step-by-step explanation:

We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:

[tex]y=3x+8[/tex] and

[tex]y=\frac{a}{2}x-2.5[/tex]

The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:

[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

73,63

Step-by-step explanation:

it just goes down by 2 everytime

Answer:

5/15

Step-by-step explanation:

Out of 15, 5 are yellow. Converted to a fraction this will be 5/15. Hope this helps!! :)

Answer:

1/3

Step-by-step explanation:

Take the total number of socks and compare it to the number of yellow socks. 15 and 5. Now divide the total by the specified group (yellow socks), by doing so, you get 3.

Every 1 in 3 socks is yellow, meaning the chance of picking a yellow sock at random is 1/3.

Answer:

4670

Step-by-step explanation:

that is the workings above

If the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.

Arithmetic progression is a sequence in which all the terms have equal differences. Nth term will be a+(n-1)d in which a is first term, d is difference and n is number of term.

We have been given that third term is 8 and eight term is 143 and we have to calculate the sum of first 20 terms.

[tex]A_{3}[/tex]=a+(3-1)d

8=a+2d-----1

[tex]A_{8}[/tex]=a+(8-1)d

143=a+7d---2

Subtract equation 1 from equation 2.

a+7d-a-2d=143-8

5d=135

d=27

Put the value of d in equation 1.

a+2d=8

a+2*27=8

a+54=8

a=-46

We know that,

[tex]S_{n}[/tex]=n/2[2a+(n-1)d]

=20/2[2*(-46)+(20-1)*27]

=10(-92+19*27)

=10(-92+513)

=10*421

=4210

Hence if the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.

Learn more about arithmetic progression at https://brainly.com/question/6561461

#SPJ2

Answer:

O A. 3.1

Step-by-step explanation:

it's correct if I'm rwong (*´ω｀*)

Answer: The answer is C. 6.9

Step-by-step explanation:

9514 1404 393

Answer:

  8. A = {Delaware, New Jersey, Pennsylvania}

  9. |B| = 3

Step-by-step explanation:

8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:

  A = {Delaware, New Jersey, Pennsylvania}

__

9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.

  |B| = 3

Answer:

1

Step-by-step explanation:

x-9=-8

x=-8+9

x=1

Answer:

x = 3.2

Step-by-step explanation:

Since they are similar the ratio of the side lengths must be the same

Using the bottom side and the unknown side from the left figure and the right figure

5            4

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

4            x

Using cross products

5x = 4*4

5x = 16

Divide by 5

x = 16/5

x =3.2

Answer:

https://www.gigacalculator.com/calculators/volume-of-sphere-calculator.php this the link for the marth calculate

find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).

Answer:

b=2A/h

Step-by-step explanation:

[tex]A = \frac{1}{2} bh \\ \\ \therefore \: 2 A = bh \\ \\ \therefore \: b = \frac{2 A}{h} [/tex]

Answer:

b = 2A/h

Step-by-step explanation:

To isolate b, you should first "get rid" of the 1/2. The best way to do this to multiply both sides of the equation by 2. The left side becomes 2A, while the right becomes bh (1/2 multiplied by its reciprocal, 2, becomes 1). Next, you have to move the h to the left side, and you could do so by dividing both sides by h. The left side becomes 2A/h, and the right is just b by itself, getting you b = 2A/h.

Answer:

i don't think you can compare statistics to data sets.

Step-by-step explanation:

Answer:

It can by being compared by using averages, box plots, the interquartile range and standard deviation.

You're welcome.

Answer:

y - 2 = 0

Step-by-step explanation:

find slope first:

(2-2)/(5+1) = 0/6 or 0

now use 'y=mx+b' to find the y-intercept (the 'b'):

2 = 0(5) + b

2 = b

so, in slope-intercept form, the equation is:  

y = 2

but, in standard form, the equation is:

y - 2 = 0

Answer:

the correct answer is 10

Step-by-step explanation:

Answer:

The focus is: [tex](0,2)[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{1}{8}x^2[/tex]

Required

Determine the focus

The focus of a parabola

[tex](x- h)^2 = 4p(y - k)[/tex]

is:

[tex](h,k+p)[/tex]

So, we have:

[tex]y = \frac{1}{8}x^2[/tex]

Cross multiply

[tex]8y = x^2[/tex]

Rewrite as:

[tex]x^2 = 8y[/tex]

Rewrite as:

[tex](x - 0)^2 = 8(y - 0)[/tex]

Express 8 as 4 * 2

[tex](x - 0)^2 = 4 * 2(y - 0)[/tex]

By comparison with: [tex](x- h)^2 = 4p(y - k)[/tex]

[tex]h = 0[/tex]    [tex]p =2[/tex]     [tex]k = 0[/tex]

So, the focus [tex](h,k+p)[/tex] is:

[tex](h,k+p) = (0,0+2)[/tex]

[tex](h,k+p) = (0,2)[/tex]

Answer:

sí, (yo) quiero un chocolate

Answer:

45

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 8 numbers is 41 , then

[tex]\frac{sum}{8}[/tex] = 41 ( multiply both sides by 8 )

sum of 8 numbers = 328

Given the mean of 2 numbers is 29 , then

[tex]\frac{sum}{2}[/tex] = 29 ( multiply both sides by 2 )

sum of 2 numbers = 58

The sum of the remaining 6 numbers = 328 - 58 = 270 , so

mean = [tex]\frac{270}{6}[/tex] = 45

The mean of the other 6 numbers = 45

Answer:

14.6 units

Step-by-step explanation:

AB = [tex]\sqrt{(1-3)^2+(3-5)^2}[/tex]

AB =[tex]\sqrt{8}[/tex]

BC = [tex]\sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}[/tex]

CD = [tex]\sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}[/tex]

DA = [tex]\sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}[/tex]

Primeter = [tex]\sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6[/tex]

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

Explanation:

The perimeter around the circle, aka circumference, is found through this formula

C = 2*pi*r

That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.

For the outer larger semicircle, that curved distance is exactly 14pi

For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.

The total curved portions is 14pi+7pi = 21pi

Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14

This is the exact perimeter in terms of pi.

The last thing to do is replace pi with 3.14 and simplify

21pi+14 = 21*3.14+14 = 79.94

This value rounds to 80