A dental hygienist is a health-care professional who works alongside a dentist to meet the oral health care needs of patients. Asked by one of her clients who needs to get a cavity filled what the average number of cavities a person gets filled by the time they are 50 years old, the hygienist responds that she will gather and determine not just the average, but also the median and the mode - because she would like to know this information herself. A bit of research turns up the following data table taken from a research project of a graduate student. The graduate student surveyed 20 people aged 50 from around Idaho.
Patient ID# Cavities Filled
1 1
2 8
3 7
4 9
5 11
6 12
7 7
8 5
9 2
10 0
11 8
12 9
13 7
14 6
15 8
16 9
17 8
18 9
19 8
20 8
a. What is the mean (average) number of cavities a person gets filled by age 50?
b. What is the median number of cavities a person gets filled by age 50?
c. What is the most often an occurring number of cavities filled in this data set?
Answer:
a. The mean number of cavities a person gets filled by the age of 50 is 7.1.
b. The medium number of cavities a person gets filled by the age of 50 is 8.
c. The most occuring number of cavities filled in the data set is 8.
2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …
Answer:
The common difference d is d = -3
The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]
Step-by-step explanation:
We need to find the common difference and the recursive formula.
a. 22, 19, 16, 13, …
First we will find common difference
The formula of arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]
where a_n is nth term, a_1 is 1st term and d is the difference
Looking at the sequence we get: a_1=22, a_2=19
Using these values we can find d, the common difference
[tex]a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3[/tex]
So, the common difference d is d = -3
Now, we will find the recursive formula:
The recursive formula is of type: [tex]a_n=a_{n-1}+d[/tex]
We have found common difference d = -3
So, the recursive formula will be:
[tex]a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3[/tex]
The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]
Greg worked for 4 hours and took two 15 minute breaks if he worked eight hours yesterday how many minutes in brakes did Greg take
Answer: Greg would have taken 4 breaks, you pretty much multiply the breaks by 2 because 4 x 2 is 8 hours and 2 x 2 is 4 breaks. In total he would have taken 4 breaks yesterday for a total of 60 minutes. I hope that this helped you!
Step-by-step explanation:
Which pair of expressions is equivalent? 2(x + 5) and 2x + 10 B. 3x – 6 + 4x + 9 and 7x + 15 0. C. 4y - 2) and 4y - 2 0 D. 5y + 12 - 3y and 2y – 12
Answer:
A
Step-by-step explanation:
the equivalent pair of expression are 2(x+5)and 2x+10
Pls help me I’ll brainlest
Answer: Did, Are Changed , Did not change
Step-by-step explanation:
There are 25 students performing in the holiday concert. Of the students, 11 are boys.
What decimal represents the fraction of students that are boys?
Answer:
0.44 (44%) of the students are boys.
Step-by-step explanation:
Hope this helps!
✧◝(⁰▿⁰)◜✧
I really need help on this
Answer:
gracias por los puntos amiga
Answer:
34 inches cubed
Step-by-step explanation:
1×4×8.5=4×8.5=2×17=34
A dragon lived in a cave.
The dragon doubled in size every day.
After 20 days the dragon filled the cave.
After how many days did the dragon half-fill the cave?
Answer: After 19 days, the dragon filled half of the cave.
Step-by-step explanation:
The dragon doubled in size every day and after 20 days he filled the cave.
So, one day before, the dragon occupied half of the cave.
20 - 1 = 19 [days]
After 19 days did the dragon half-fill the cave.
The dragon doubles in size every day, and after 20 days, it completely fills the cave.
To find out when the dragon half-filled the cave, we need to determine how many days it took for the dragon to reach half of the cave's capacity.
we know that,
On the 20th day, the dragon filled the entire cave.
and, The dragon doubled in size every day.
so, we have,
On the 19th day, the dragon's size would have been half of what it was on the 20th day.
On the 18th day, the dragon's size would have been half of what it was on the 19th day.
And so on...
We can see that every day before the 20th day, the dragon's size was halved.
So, on the 19th day, the dragon's size was half of the size it was on the 20th day.
Therefore, on the 19th day, the dragon half-filled the cave, and on the 20th day, it filled the entire cave.
Hence, After 19 days did the dragon half-fill the cave.
To learn more on subtraction click:
brainly.com/question/2346316
#SPJ4
You and your brother always flip a special golden dollar coin to decide who gets to select the music when the two of you are in the car. The coin has come up heads (in your brother’s favor) on 8 of the last 10 flips.
Do 10 flips provide convincing evidence that your brother is using an unfair coin to gain an advantage?
Yes, the probability of flipping heads with a fair coin is 0.5. He should have gotten heads exactly 5 times.
No, there is no way to determine the probability of flipping heads.
Maybe, if the coin comes up tails on 8 of the next 10 flips, then he is using a fair coin.
No, 10 trials (flips) is not enough evidence to determine if the coin is fair. We would need many, many more flips to determine the true proportion of heads for this coin.
Answer:
No, 10 trials (flips) is not enough evidence to determine if the coin is fair. We would need many, many more flips to determine the true proportion of heads for this coin.
This is the answer Edge 2020
Statement fourth "No, 10 trials (flips) is not enough evidence to determine if the coin is fair. We would need many, many more flips to determine the true proportion of heads for this coin" is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that
shows the happening of the event.
We have:
You and your brother flip a special golden dollar coin to decide who gets to select the music when the two of you are in the car.
As we know the coin has two sides so
The total outcomes = 2
Then the probability of getting hear or tell is 1/2 or 0.5
If the coin has come up heads(in your brother's favor) on 8 of the last 10 flips.
Since the number of flips is too less for the evidence that your brother is using an unfair coin to gain an advantage.
Thus, statement fourth "No, 10 trials (flips) is not enough evidence to determine if the coin is fair. We would need many, many more flips to determine the true proportion of heads for this coin" is correct.
Learn more about the probability here:
brainly.com/question/11234923
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What is the slope of the line that passes through
the points (-5, -5) and (6, – 9)?
Will give brainliest pls answer immediately!
Answer:
[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } \\ = \frac{( - 9 - ( - 5))}{(6 - ( - 5))} \\ = \frac{ - 4}{11} \\ slope = - \frac{4}{11} [/tex]
I need help with this question plz
Answer:
y = 10/3x + 20
Step-by-step explanation:
First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).
m = y₁ - y₂ / x₁ - x₂
m = 30 - 40 / 3 - 6
m = -10/-3
m = 10/3
Now we know the slope is 10/3.
In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.
I need help on this one
Help asp please
Answer:
(-2, -4)
(-3, 5)
(4, -2)
Step-by-step explanation:
Have a wonderful day! :)
A. 50 degrees
B. 130 degrees
C. 9 units
D.22 units
E. 13 units
Answer: all i can do hope this helps a bit 2. 130 degrees
5. 13 units
find the Pecimeter of the figure given below
Step-by-step explanation:
perimeter(P)=3+4+43+4+411Answer:
perimeter= 4+4+3
11
Step-by-step explanation:
....
NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Segment DO
Step-by-step explanation:
The first option is not the radius because A is going outside of the circle and it would actually be longer than the radius.
BC is too high up, and it's considered a chord, not the radius.
DE is the diameter, not the radius.
That leaves us with 1 answer remaining.
please i need help:/
Answer:
the answer would be B or 358.38
Sven has a mass of 135.0 grams. On Olaf’s scale, Sven weighs 139 grams. What is the percent error of Olaf’s scale?
How is the circumference of a circle related to its diameter
-49-X = -8x + 70
helppp
Answer:
x=17
Step-by-step explanation:Get everything to one side by using addition and subtraction and combine like terms. Once you have that set it equal to zero and put the b in Mx+b on the other side then divide it by m and you’ll have x
Can Someone Please Help Me!!!
whats the unit rate for 4/5 chapters in 1/4 hour
Answer:
Unit Rate: 16/5 chapters per hour
Step-by-step explanation:
4/5 divided by 1/4 = 4:5, 4:1 = 4/5 x 4/1 = 16/5
In quadrilateral ABCD m < A= 90°
m 2 C = 50° and m < B = m D.
Find the degree measure of < B.
Answer:
m∠B = 170°
Step-by-step explanation:
Sum of all angles in quadrilateral is 360°:
m∠A + m∠B + m∠C + m∠D = 360°
m∠B = 360° - m∠A - m∠C - m∠D
m∠A = 90°
m∠B = m∠D= 50°
m∠B = 360° - 90° - 50° - 50° = 170°
Can someone please help me with this question?
Answer:
anime girl
Step-by-step explanation:
anime girl
Solve for x,
45=3x
Simplify your answer as much as possible,
X
Question
7 - (-3)=
PLEASE HELP ME!!!
Answer:
10
Step-by-step explanation:
7-(-3)
=7+3
=10
Hope this is helpful
Answer:
10
Step-by-step explanation:
what is the degree of x^6+4x-3
Answer:
1.2599
Step-by-step explanation:
what is 696 divided by 8=?????????????
Cheri uses her Tune-It-Up music card to make a $12 purchase of a few of her favorite songs. Which integer represents the effect of Cheri's purchase on the balance of her music card?
A) −$12
B) −$11
C) $0
D) $12
Answer:
Step-by-step explanation:
A, -12
if she had an x amount on her card,
after the buys the songs, she will have x-12 left
Eugene wanted to make note cards by cutting pieces of paper in half. Before starting he got six more pieces to use. When he was done he had 26 half-pieces of paper. With how many pieces did he
start?
Answer:
7
Step-by-step explanation:
26/2 = 13
13 - 6= 7
Answer = 7
Anna planted 90 bulbs in 60 minutes minutes. At this rate, how many bulbs can Anna plant in 2.5 hours?
90
150
225
250
Answer: 225
Step-by-step explanation: 90 + 90 = 2hrs. 0.5 hrs = 45, so 90+90+45=180+45=225