Answer:
a. The answers obtained are as follows:
Frequency for flossing 7 times per week = 24
Relative frequency for flossing 4 times per week = 0.1231
Cumulative Frequency at flossing 1 time per week = 22
b. The Cumulative Relative Frequency at flossing 7 time per week is 100%.
Step-by-step explanation:
Note: This question is not complete and the data in it are merged together. The complete question is therefore provided with the sorted data before answering the question. See the attached pdf file for the complete question.
The explanation to the answers is now provided as follows:
a. Complete the table (Use 4 decimal places when applicable)
Note: See part a of the attached excel for the complete table (answers are in bold red color)
Frequency is the rate at which something or an event occurs in a particular sample.
Since we already have frequency for others flossing times per week and we have 130 adults as the sample, the frequency for flossing 7 times per week is calculated by deducting the frequencies of others from 130 as follows:
Frequency for flossing 7 times per week = 130 – 10 – 12 – 14 – 18 – 16 – 21 – 15 = 24
Relative Frequency refers to the fraction of times an event occurs. The relative frequencies in this question are calculated by dividing each frequency by the total number of adults in the sample, i.e. 130. The relative frequency for flossing 4 times per week is therefore calculated as follows:
Relative frequency for flossing 4 times per week = Frequency for flossing 4 times per week / Total number of adults in the sample = 16 / 130 = 0.1231
Cumulative Frequency is calculated by adding the current frequency to the previous Cumulative Frequency. The Cumulative Frequency at flossing 1 time per week is therefore calculated as follows:
Cumulative Frequency at flossing 1 time per week = Cumulative Frequency at flossing 0 time per week + Frequency at flossing 1 time per week = 10 + 12 = 22
b. What is the cumulative relative frequency for flossing 7 times per week? %
Note: See part b of the attached excel for the complete table (answer is in bold red color)
The cumulative relative frequency refers to the accumulation of the previous relative frequencies.
Cumulative Relative Frequency is calculated by adding the current relative frequency to the previous Cumulative Relative Frequency. It should be noted that the first cumulative relative frequency equal to the first relative frequency.
The Cumulative Relative Frequency at flossing 7 time per week is therefore calculated in the attached excel file as follows:
Cumulative Relative Frequency at flossing 1 time per week = Cumulative Relative Frequency at flossing 6 times per week + Relative Frequency at flossing 7 times per week = 0.8154 + 0.1846 = 1.0000
Since the question indicates that the Cumulative Relative Frequency at flossing 7 time per week should be stated in percentage term, we therrefore have:
Cumulative Relative Frequency at flossing 7 time per week = 1.0000 * 100 = 100%.
California, the most populous state, has approximately 4 x 107 people living in it. The population of the entire United States is approximately 3 x 108 . About how many times greater is the population of States than the population of California
Answer:
3 x 108 =324 United States
4 x 107 =428 california
Step-by-step explanation:
United States is 3 times greater while california is 4 time greater
What is the slope of the line that passes through the points (7,−6) and (4, -6) ? Write your answer in simplest form.
the answer is m = 0. i hope this helps-
The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to find a complete solution to the inequality?
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Every week, a car dealer ship sells at least 5 minivans. Write an inequality that represents this situation. Let c represent the number of minivans sold each week.
Answer:
An inequality 'c ≥ 5' represents this situation.
Step-by-step explanation:
We know that the inequality symbol '≥' represents 'at least'.
For example, 'x≥y' means 'x' is greater than or equal to b. It means 'x' is at least equal to 'y'.
Let 'c' represent the number of minivans sold each week.
As a car dealer ship sells at least 5 minivans. It means the dealer can also sell more than 5.
i.e. c ≥ 5
Therefore, an inequality 'c ≥ 5' represents this situation.
An empty shipping box weighs 250 grams. The box is then filled with T-shirts. Each T-shirt weighs 132.5 grams. The equation W = 250 + 132.5T represents the relationship between the quantities in this situation, where W is the weight, in grams, of the filled box and T the number of shirts in the box. Select two possible solutions to the equation W = 250 + 132.5T .
Answer:
For 20 t shirts the weight is 2900 grams
and for 25 t- shirts the weight is 3562.5 gms
Step-by-step explanation:
W = 250 + 132.5T
1) If we know the total weight we can find the number of t- shirts and
2) if the number of shirts are known the total weight can be calculated.
For example if the expression W= 250 + 132.5T is written like is written like
2900 = 250 + 132.5T
2900-250 = 132.5T
T = 2650/132.5= 20 shirts
Similarly if we have 25 t- shirts then the weight would be
W = 250 + 132.5(25)
W= 250+ 3312.5= 3562.5 gms
what is the value of x?
Coach South and Mr. Dr. Coach Rhodes are having a problem solving competition. Mr. Dr. Coach Rhodes can solve four more problems than twice the number of Coach South. If Mr. Dr. COach Rhodes has solved twenty problems, how many problems has Coach South solved?
9514 1404 393
Answer:
8
Step-by-step explanation:
Let s represent the number of problems Coach South solved. Then Mr Dr Coach Rhodes solved ...
2s +4 = 20
2s = 16
s = 8
Coach South solved 8 problems.
plz help me its do today
Solve the following system of equations algebraic
y=x^2+3x-29
y=2x-9
Step-by-step explanation:
Given equations:
y = x² + 3x - 29 ------ (i)
y = 2x - 9 ---------------- (ii)
Now to solve this problem, we must determine the value of x and y;
Equate equations 1 and 2;
x² + 3x - 29 = 2x - 9
x² + 3x - 2x - 29 + 9 = 0
x² + x - 20 = 0
x² + 5x - 4x - 20 = 0
x(x + 5 ) - 4(x + 5) = 0
(x - 4) (x+ 5) = 0
x - 4 = 0 or x + 5 = 0
x = 4 or x = -5;
So; solve for y now;
y = 2x - 9
input x = 4 or x = -5;
y = 2(4) - 9 or y = 2(-5) - 9
y = -1 or y = -19
Can someone plz help with 7-8 plz ASAP will give 10 points and mark brainliest
7. c
8. d
those are the answers
114 + 70 + n ≥ 200
184 + n ≥ 200
n ≥ 200 -184
n ≥ 16
Lucy rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total more than 10.
Answer:
Answer:
The probability of obtaining the sum of 10 is 1/12 or 0.0833
Step-by-step explanation:
Given
2 fair dice
Required
Probability of obtaining the sum of 10
To solve this, we have to list out the sample space.
Sample space is the total possible sum that can be obtained when she rolls the dice.
Let the first die be represented with S1 and the second be represented with S2.
S1 = {1,2,3,4,5,6}
S2 = {1,2,3,4,5,6}
To get the sample space, we have to add individual elements of S1 and S2.
This is done as follows.
When S1 = 1 and S2 = {1,2,3,4,5,6}
Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6
Sum = 2, 3, 4, 5, 6, 7
When S1 = 2 and S2 = {1,2,3,4,5,6}
Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6
Sum = 3,4,5,6,7,8
Using the same pattern as used above
When S1 = 3 and S2 = {1,2,3,4,5,6}
Sum = 4,5,6,7,8,9
When S1 = 4 and S2 = {1,2,3,4,5,6}
Sum = 5,6,7,8,9,10
When S1 = 5 and S2 = {1,2,3,4,5,6}
Sum = 6,7,8,9,10,11
When S1 = 6 and S2 = {1,2,3,4,5,6}
Sum = 7,8,9,10,11,12
Writing out the Sum, will give us the sample space.
Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}
The sample space has a total of 36 elements
To calculate the probability of obtaining the sum of 10,
We have to count the number of 10's in the sample space
Number of 10 = 3
Probability = Number of 10 / Number of Sample Space
Probability = 3 / 36
Probability = 1/12
Probability = 0.0833
Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833
Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?
Answer:
The answer is 86.08, hope this helps.
Step-by-step explanation:
Answer:
$86.08
Step-by-step explanation:
If Dan makes $5.38 for HALF an hour how much does he make for a full hour? He makes $10.76 for an entire hour.
$10.76 x 8= $86.08
Which set of ordered pairs represents y as a function of x?
{(2,-1), (4, -2), (6, -3), (8, -4)}
{(0, 0), (1, 1), (1, 0), (2, 0)}
{(3, 3), (3, 4), (4, 3), (4, 4)}
{(1, -5), (1, 5), (2, -10), (2, -15)}
Answer:
{(2,-1), (4, -2), (6, -3), (8, -4)}
Step-by-step explanation:
The other ordered pairs have a common domain value which means they are not a function.
For example:
{(5,7), (5,8), (10,3)} would not be a function because the 5 is repeating
However
{(2,6), (4,6), (22,7)} would be function because there are no numbers in the x part of the ordered pair that repeat. (x,y)
I hope you can see the pattern now
There are two types of cellular phones, handheld phones (H)that you carry and monile phones (M) that are mounted invehicles. Phone calls can be classified by the travelingspeed of the user as fast (F) or slow (W). The probabilitymodel for this experiment has the following information: P[F] =0.5, P[HF] = 0.2, P[MW] = 0.1. What is the sample space ofthe experiment? Calculate the followng probabilites:a) P[W]b) P[MF]c) P[H]
Answer:
Explained below.
Step-by-step explanation:
(1)
Sample space is a set of all possible outcomes of an experiment.
The sample space in this case is:
S = {HF, HW, MF, MW}
(a)
Compute the value of P (W) as follows:
P (F) + P (W) = 1
P (W) = 1 - P (F)
P (W) = 1 - 0.50
P (W) = 0.50
(b)
Compute the value of P (MF) as follows:
P (HF) + P (MF) = P (F)
P (MF) = P (F) - P (HF)
P (MF) = 0.50 - 0.20
P (MF) = 0.30
(c)
Compute the value of P (M) as follows:
P (M) = P (MF) + P (MW)
P (M) = 0.30 + 0.10
P (M) = 0.40
Compute the value of P (H) as follows:
P (H) + P (M) = 1
P (H) = 1 - P (M)
P (H) = 1 - 0.40
P (H) = 0.60
2x - 1.50 = 1.50x I need help Plss
Answer:
x=3
Step-by-step explanation:
2x - 1.50 = 1.50x
.50x = 1.50
x=3
Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?
Answer:
55
Step-by-step explanation:
If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.
PLEASE HELP!!
Which is the simplified form of the expression
1 - StartFraction 1 Over q Superscript 30 Baseline EndFraction
2 - q Superscript 30
3 - StartFraction p Superscript 12 Baseline Over q Superscript 60 Baseline EndFraction
4 - p Superscript 12 Baseline q Superscript 60
Answer:
1/q^30
Step-by-step explanation:
Simplified
Write an equation in y = mx + b given the slope of 2 and goes through the point (4, 9).
Answer:
slope=2 ie m=2
y=2x+b
and to solve b, we put in 4 and 9 into the equation
9=2*4+b, so b=9-8=1
hence y=2x+1
Step-by-step explanation:
Answer:
Student your question is not too clear, please complete the question
Ali is cutting a pizza into serving sized sections he uses a long knife to be sure that the cuts he makes in the pizza are straight which statements are true select all that apply
Answer:
1. Ali makes three straight long cuts along the diameter of the pizza.
2. Ali makes two straight long cuts along the diameter of the pizza.
Step-by-step explanation:
Each serving size in a pizza contains consistent weight but the fraction of the pie can change depending upon the size of the pizza., size of crust, toppings, etc.
The pizza can be cut into different pie section depending upon the size of the pizza. One-sixth or one-fifth is the most common pie sections.
Ali uses a long knife to cut the pizza in a straight line. He must cut the pizza in to 8 pieces or 4 pieces so that he can be sure that the pizzas are cut in a straight line.
For 8 pieces of pizza, Ali has to make three straight long cuts across three diameters of the pizza and for 4 pieces, Ali has to make two straight long cut along the diameters.
do yall know this one?
Answer:
8x
Step-by-step explanation:
it's the slope
y = 8x or y = 8/1x
Do not place /1.
The system understands that there is a invisible 1 that's how all whole number can turn into equations.
A man invests some money at 10% interest for 1 year
After 1 year it is worth £3300
How Much did he invest?
FOR BRAINLY PLEASE INCLUDE A STEP BY STEP
Answer:
investment=£3000
Step-by-step explanation:
let ; principal amount (investment)=p ,
simple interest = p*t*r/100
£3300-p=p*1*10/100
(3300-p)100/10= p
33000-10p=p
33000=11p
33000/11 = p
£3000=p
Kurt says that if he starts with the number n, multiplies it by the next whole number and then adds 3 he will get 45. N(n+1)+3=45 what number makes kurts equation true?
Answer:
6
Step-by-step explanation:
we start with:
n(n + 1) + 3 = 45
n² + 1n = 42
n² + 1n - 42 = 0
n can be either 6 or -7
(n - 6)(n + 7)
since we cannot have negative numbers, the answer should be 6, but we can verify which number fits our equation:
n = 7 ⇒ n(n + 1) + 3 = 45
7(7 + 1) + 3 = 59 WRONG
n = 6 ⇒ n(n + 1) + 3 = 45
6(6 + 1) + 3 = 45 ✓ CORRECT
Answer:
6
Step-by-step explanation:
Please help someone
2/5
Answer:
B
Step-by-step explanation:
Answer:
B is correct
Step-by-step explanation:
√5 ≈ 2,24
since it is - √5 the answer must be -2,24 so B is correct
Which list orders -3,2,5, -1 From least to greatest
Answer: C= -3, -1, 2, 5
Step-by-step explanation:
If 5 men paint a wall in 3hours,
How many men will paint the same wall in 3/4 hours,
working at the same rate
a)5
b)10
c)15
d)20
e)24
Answer:
20 men will paint the same wall in 3/4 hours.
Step-by-step explanation:
Given information is:
5 men paint a wall in 3 hours
Let x be the number of men
It is also mentioned that the rate will be same with x men. So we have to put both the rates/proportions equivalent to find the number of men.
So,
[tex]men * hours = men*hours\\5*3 = x*\frac{3}{4}\\15 = \frac{3}{4}x\\x = \frac{4}{3} * 15\\x = 20[/tex]
Hence,
20 men will paint the same wall in 3/4 hours.
Is the function shown linear or nonlinear? Explain.
Answer:
non linear im pretty sure
A golfball is hit from ground level with an initial vertical velocity of 64 ft/s. Use the function h(t) = −16t2 + v0t + h0, where h(t) is the height of a golfball hit with initial vertical velocity v0 from initial height h0 after t seconds in the air, to find the time at which the golfball will hit the ground. after 4 s after 5 s after 3 s after 6 s
Answer:
It is seen that the height of the golf ball is maximum at t= 3 sec that is 50 m above the ground.
The ball hits the ground at t= 4 seconds that is it's distance from the ground is zero meters.
Step-by-step explanation:
h(t) = −16t2 + v0t + h0
Putting the values
Initial velocity = V0 = 64m/s
time = 4, 5,3,and 6 seconds
initial height = h0 = ground level= 0 m
h(t) = −16t2 + v0t + h0
h(4) = −16(4)2 + 64(4) + 0
h(4)= 0m
h(t) = −16t2 + v0t + h0
h(5) = −16(5)2 + 64(5) + 0
h(5)= - 400 + 320= -80m
h(t) = −16t2 + v0t + h0
h(3) = −16(3)2 + 64(3) + 0
= -144+ 192= 50m
h(t) = −16t2 + v0t + h0
h(6) = −16(6)2 + 64(6) + 0
= -576+ 384= -192m
It is seen that the height of the golf ball is maximum at t= 3 sec that is 50 m above the ground.
The - ( negative) sign at different times shows that the ball may follow a path lower than the ground level.
The ball hits the ground at t= 4 seconds that is it's distance from the ground is zero meters.
For every $890 lawn
mower Kelly sells, she
gets a commission of
$178. What percentage
is Kelly's
commission?
Answer:
20%
Step-by-step explanation:
178/890= .2 or 20%
TheStudent Government buys sweatshirts for $10 and sells them for $25. Find the percent of increase.
Answer:
4
Step-by-step explanation:
4444
Write equations of the horizontal and vertical lines that pass through the given
point.
12. (-3,-4)
Horizontal line
vertical line
Answer:
Horizontal line ⇒ y = -4
Vertical line ⇒ x = -3
Step-by-step explanation:
The line is horizontal if the y-coordinates of all points lie on it have the same valueThe equation of the horizontal line that passes through the point (a, b) is y = bThe line is vertical if the x-coordinates of all points lie on it have the same valueThe equation of the vertical line that passes through the point (a, b) is x = a∵ A horizontal line passes through the point (-3, -4)
→ That means the y-coordinates of all points on the line have
the same value
∴ The equation of the line is y = -4
∵ A vertical line passes through the point (-3, -4)
→ That means the x-coordinates of all points on the line have
the same value
∴ The equation of the line is x = -3