The number of patients treated at Dr. Frank's dentist office each day was recorded for eight days: 15, 4, 6, 12, 16, 20, 16, 3. Using the given data, find the mean for this sample.

Answer:

power index

Step-by-step explanation:

Prime factor index form is expression of a number as product of its prime number. Here the prime factor is listed only once. It is necessary to insert the required power index to solve for the HCF

Answer:

angle BEF = 100 degrees

Step-by-step explanation:

For a regular 9-sided polygon (nonagon),

each exterior angle = 360/9=40 degrees

each interior angle = 180-40 = 140 degrees.

Referring to diagram, in the trapezoid (trapezium) BCDE, the base angles are 180-140 = 40 degrees.

Therefore angle DEB = 40 degrees

that leaves BEF = 140-40 = 100 degrees

Answer:

the correct answer is circles

Step-by-step explanation:.

Answer:

Step-by-step explanation:

Please try reposting with a picture so brainly users can help answer this question :)

The measure of angle < EFD = 47.5 degrees.

Option C is correct.

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference.

As, we know

The angle that an arc subtends at its centre is double that of its circumference.

In other words, the angle at the centre is twice as large as the angle at the perimeter.

So,  <EFD = 95/2

or, <EFD = 47.5 degrees.

Learn more about Arc here:

https://brainly.com/question/18741430

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Answer:

C

Step-by-step explanation:

To make it easy let's start by organizing our information :

What do you think of when you hear a right triangle ?

AC and BD  are khown so let's focus on them .

If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?

Simply because they are the diagonals of a rhombus .

ow let's apply the pythagorian theorem :

Now we khow that : AB=BC=CD=AD=[tex]\sqrt{52}[/tex]

This isn't enough . Let's try to figure out a way to calculate the length of KL  wich is the base of the triangle

I smell something . yes! Thales theorem

Now we have the length of the base kl

Now the big boss the height :

What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D

now the height of the trigle is H= BD-D= 8-2=6

NOw the area of the triangle is :

THE ANSWER IS 18 SQ.UN

Answer:

Step-by-step explanation:

5.1 × 108 = 550.8

9.6 × 10^0

10^0 = 1

9.6 × 1 = 9.4

2.44 × 10 = 24.4

5.023 × 1010 = 5073.23

Answer:

1.619

Step-by-step explanation:

We have the formulas for the volume of the sphere and the cylinder:

Vs = (4/3) * pi * (r ^ 3)

Vc = pi * h * (r ^ 2)

Thus:

(4/3) * pi * (r ^ 3) + pi * h * (r ^ 2) = 10

Now, the formula for the surface area of the cylinder and sphere are:

As = 4 * pi * (r ^ 2)

Ac = 2 * pi * r * h + 2 * pi * r ^ 2

Using this equation for the total surface area of the solid, we can see that as "h" increases, so will the surface area. Therefore, the smallest surface area will occur at h = 0.

Thus:

(4/3) * pi * (r ^ 3) + pi * 0 * (r ^ 2) = 10

(4/3) * pi * (r ^ 3) = 10

r ^ 3 = 4 * 10 / (3 * 3.14)

r ^ 3 = 4.24

r = 1.619

so the radius is 1.619

Answer:

p=1/5

remove brackets

-5p-3=-4

move constant to right

-5p=-4+3

-5p=-1

divide both sides by -5

p=1/5

Answer:

1/5

Step-by-step explanation:

We can use solving for variables here.

-5(p+3/5)=-4

-5p+-3=-4

p=1/5

Answer: the probability of getting a number less than 3 and tails is P 1/6

Step-by-step explanation:

Assuming that the dice and the coin are normal ones, we can expect that the probability for each outcome is about the same.

For the coin we have 2 outcomes, heads and tails, then each outcome has a probability of 1/2

The dice has 6 outcomes, and each outcome has a probability of 1/6.

Then the probability of rolling a number less than 3 is equal to the probability of rolling a 1 plus the probability of rolling a 2.

P1 + P2 = 1/6 + 1/6 = 2/6 = 1/3.

The probability of getting tails with the coin is 1/2.

Now, the joint for both events is equal to the product of the probabilities of each event, this is:

P = (1/3)*(1/2) = 1/6

Answer:

1/6

Step-by-step explanation:

got it right on edge

Answer:

25.5°

Step-by-step explanation:

the sum of angle NMR and MRS is 180, so

2x + x + x + 78 = 180

4x = 180 - 78

4x = 102

x = 102/4 = 25.5°

Answer:

[tex]a_{n} = 12 -3(n-1)[/tex]

Step-by-step explanation:

[tex]a_{1} = 12\\a_{n} = a_{n-1} - 3[/tex]

we have to find formula for nth term of series for this problem

[tex]a_{1} = 12\\a_{2} = a_{2-1} - 3 = a_{1} -3 = 12 -3 = 9\\a_{3} = a_{3-1} - 3 = a_{2} -3 = 9 -3 = 6[/tex]

Thus, we see series is 12, 9 ,6

Thus, we can see that series is decreasing by unit of 3.

and we know that when there is in increase or decrease in series by a a constant number then series is arithmetic progression series.

Hence, this is a decreasing AP series

In AP

nth term is given

nth term = a+(n-1)d

where a is the first term

d is the common difference

common difference is given by = nth term - (n-)th term

lets take 2nd and 1st term to get common difference.

d = 9-12 = -3

(note: this was obvious by looking at series itself that d is -3 as series was decreasing by 3 unit)

a = 12

thus, nth term = a +(n-1)d

nth term = 12 +(n-1)(-3)

nth term = 12 -3(n-1)

writing this in form of [tex]a_{n}[/tex]

[tex]a_{n} = 12 -3(n-1)[/tex]  Answer

Answer:

The answer is no

Step-by-step explanation:

no

Answer:

P(-2 ≤ x ≤ 2) = .6

Step-by-step explanation:

Given

The data in the above table

Required

Find P(-2 ≤ x ≤ 2)

To solve for P(-2 ≤ x ≤ 2); we have to consider the boundary covered by the interval

The interval -2 ≤ x ≤ 2 according to the table is -2 , 0 and 2

Solving further;

P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) ----- (1)

From the table;

P(-2) = .33

P(0) = .16

P(2) = .11

Substitute these values in (1) above

P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) becomes

P(-2 ≤ x ≤ 2) = .33 + .16 + .11

P(-2 ≤ x ≤ 2) = .6

Answer:

From the graph, the y-intercept is 9 and the slope is -1 so the equation is y = -x + 9. We know the slope is -1 because when x goes up by 1, y decreases by 1.

Step-by-step explanation:

When we know both the x- and y-intercepts of a line, we can conveniently use the intercept form.

Let

A=x-intercept=9

B=y-intercept=9

the intercept form of the equation is therefore

x/A + y/B =1

substituting numerical values,

x/9 + y/9 =1  ..........................(1)

Factoring the identical denominators

(x+y)/9 = 1

Cross multiply

x+y = 9  ...............................(2)

Both (1) and (2) are valid forms of equation of the given line.

Answer:

The correct option is;

Marcel did not put the first and second term in the same order

Step-by-step explanation:

From the multiplication table the equivalent ratios of two numbers can be found given that the two numbers have the same factors which is true if the numbers are on the same column in the multiplication table

Therefore, having the numbers ratio presented in the form 72:24 which are on the row labelled 3 and the row labelled 9, we have that the 72 is on row 9 while the 24 is on row 3, for which on the second column, we have 6:18

However the ordering of the ratio gives the value on the 9th column first before the value on the 3rd column, so that the correct result should be 18:6

The error was that Marcel did not put the first and second term in the same order.

Answer:

C

Step-by-step explanation:

Answer:

P = 0.4688 = 46.88%

The probability that a randomly selected high school student plays organized​ sports is 0.4688.

Step-by-step explanation:

We are given that a survey of 900 randomly selected high school students determined that 422 play organized sports.

​(a) What is the probability that a randomly selected high school student plays organized​ sports?

We know that the probability of an event is given by

P = Number of desired outcomes/total number of outcomes

For the given case, the desired outcomes are those students who play organized sports and the total number of outcomes are 900 randomly selected high school students who were surveyed.

So the probabilty is

P = 422/900

P = 0.4688

P = 46.88%

​(b) Interpret this probability

There is a 46.88% chance of randomly selecting a high school student who plays organized sports or in other words, if we randomly choose a high school student then there is a 46.88% probability that the selected student plays organized sports.

Answer:

Step-by-step explanation:

The figures that come to a point (cone, pyramid) only have one base. The others have two:

  cylinder

  rectangular prism

  triangular prism

Answer:

B-cylinder

C-rectangular prism

E-triangular prism

Step-by-step explanation:

Got it right on edge unit test

The conversion rate is 1cm to 4km, or 1:4.

Because we know the conversion rate, we can use this ratio to calculate the map distance.

If the distance between the two towns is 28km, then we can use the conversion rate to calculate the distance on the map.

28 / 4 = 7

Therefore, the distance between the two towns on a map is 7cm.

Hope this helped! :)

Answer:

Step-by-step explanation:

1cm……..4km

x…………28km

x=28km*1cm/4km

Answer:

D. $56,250

Step-by-step explanation:

Calculate the increase.

45000 × (1 + 25%)

45000 × 1.25

= 56,250

They made $56,250 this month.

Answer:

D

Step-by-step explanation:

Answer:

44.957

Step-by-step explanation:

All we can do is estimate √3 and then exponent 9 by it.

Alternatively, plug it into a calc and calculate.

Answer:

  783.7 square units

Step-by-step explanation:

The formula for the surface area of a cylinder is ...

  A = 2πr^2 + 2πrh = 2πr(r +h)

Using the given numbers, the area is ...

  A = 2(3.14)(6)(6 +14.8) = 783.7 . . . square units

Answer:

About 783.7 square cm.

Step-by-step explanation:

The formula for the surface area of a cylinder is (2 * pi *r^2) + (2 * pi * r * h).

(2 * 3.14 * 6^2) + (2 * 3.14 * 6 * 14.8) = (2 * 3.14 * 36) + (2 * 3.14 * 6 * 14.8) = 6.28 * 36 + 6.28 * 88.8 = 226.08 + 557.664 = 783.744.

So, the surface area of the cylinder is about 783.7 square centimetres.

Hope this helps!

Answer:

a = 4,

b = 12

c = 10

d = 15

Step-by-step explanation:

Since the product of each column is equal, therefore,

b*5 = 60

b = 60 ÷ 5 = 12

c*6 = 60

c = 60 ÷ 6 = 10

Since the sum of each column are equal, therefore,

12 + 10 + a = 5 + 6 + d

22 + a = 11 + d

Think of a number you can add to 22, and another number you can add to 11, which will make both sides equal. Add both numbers, whenmultiplied together should give you 60.

Factors of 60 are:

(a, d)

(1, 60) => 22 + a = 11 + d => 22+1 = 11+60 (incorrect)

(2, 30) => 22 + a = 11 + d => 22+2 = 11+30 (incorrect)

(3, 20) => 22 + a = 11 + d => 22+3 = 21+20 (incorrect)

(4, 15) => 22 + a = 11 + d => 22+4 = 11+15 => 26 = 26 [CORRECT]

(5, 12) => 22 + a = 11 + d => 22+5 = 11+12 (incorrect)

(6, 10) => 22 + a = 11 + d => 22+6 = 11+10 (incorrect)

Therefore,

a = 4,

d = 15

Answer:

x = 60, y = 50

Step-by-step explanation:

60 + 50 = 110 + 70 = 180.

50 + 70 = 120 + 6 = 180.

Therefore 50 + 70 + x = 60

Therefore 70 + 60 + y = 50

Answer:

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

x + 70 + 50 = 180

x + 120 = 180

x = 60

The other triangle's missing angle:

180 - 60 - 50 = 70

Angles on a straight line add up to 180 degrees.

70 + x + y = 180

We know the value of x.

70 + 60 + y = 180

Solve for y.

130 + y = 180

y = 180 - 130

y = 50

Hello!

Answer:

(x + 1).

Step-by-step explanation:

Begin by using the rational root theorem to find possible factors of this equation.

We get the following:

±1, ±3, ±1/2, ± 3/2

We can use synthetic division to check numbers to see if they are a factor of the equation. After checking the possible numbers, -1 was found to produce a remainder of 0 when calculated:

-1 | 2    1     -4     -3

  +      -2     1       3

    2    -1     -3      0

Therefore, x = -1 is a possible root of this equation. Writing this as a factor would become:

x = -1

x + 1 = 0

(x + 1) is the factor.

I hope this helped you!

Answer:

If Henry walks along the sidewalks, he will walk 1.7 miles in total. It will take him 17 minutes to reach the store and another 17 minutes to come back.

If Henry cuts through the city, he will walk √(1.2² + 0.5²) = 1.3 miles in total. It will take him 22.3 minutes to reach the store and another 22.3 minutes to come back.

Even though Henry will need to walk a longer distance if he walks along the sidewalks, he will be able to reach the store and back back in a shorter time than if he cuts through the city.

Answer:

The length and breadth are 14 cm and 10 cm

Answer:

The answer is 2/10 :P

Step-by-step explanation:

We have To list all the possibilities first ! : 1 head, 2 head, 3 head, 4 head, 5 head, 1 tail, 2 tails, 3 tails, 4 tails and 5 tails ! ;)

We have in total 10 possibilities !

So if we want to work out the probability that she will get a 2 and a head, the answer has to be 2/10 because we have 10 possibilities !

I hope I helped you ! :P

If you stretch on the y-axis then you are increasing/decreasing values at a every x.

The new function is therefore:

[tex]g(x)=3\cdot2^x[/tex]

Hope this helps.

━━━━━━━☆☆━━━━━━━

▹ Answer

6

▹ Step-by-Step Explanation

Follow PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

3(4 - 2)

3(2)

= 6

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

area of sector:

[tex] \frac{theta}{360} \times \pi \: {r}^{2} [/tex]

[tex] \frac{165}{360} \times \frac{22}{7} ( {8}^{2} )[/tex]

[tex] \frac{11}{24} \times \frac{1408}{7} [/tex]

[tex] \frac{1936}{21} [/tex]

[tex]92.19 \: {in}^{2} [/tex]

Answer:

the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]

Step-by-step explanation:

Use the fraction of the area of the circle associated with the red sector. Use a proportion to find the appropriate fraction knowing that a full circle [tex](360^o)[/tex] corresponds to the area:

[tex]Area=\pi\,R^2=\pi\, (8\,in)^2= 64\, \pi\,\,in^2[/tex]

then the proportion goes like:

[tex]\frac{64\,\pi\,\,in^2}{360^o} =\frac{sector}{165^o} \\ sector=\frac{64\,\pi\,165^o}{360^o}\,\,in^2\\sector\approx 92.15\,\,in^2[/tex]

Therefore, the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]