Using the normal distribution, it is found that there is a 0.8888 = 88.88% probability that his tube last the whole trip.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]In this problem:
For each time he brushes his teeth, the mean is of 0.13 ounces and the standard deviation is of 0.02 ounces, hence [tex]\mu = 0.13, \sigma = 0.2[/tex]He will brush his teeth 6 times, hence [tex]n = 6, n\mu = 6(0.13) = 0.79, s = 0.2\sqrt{6}[/tex]The probability that his tube last the whole trip is the p-value of Z when X = 0.85, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Considering the n instances
[tex]Z = \frac{X - n\mu}{s}[/tex]
[tex]Z = \frac{0.85 - 0.79}{0.2\sqrt{6}}[/tex]
[tex]Z = 1.22[/tex]
[tex]Z = 1.22[/tex] has a p-value of 0.8888.
0.8888 = 88.88% probability that his tube last the whole trip.
A similar problem is given at https://brainly.com/question/24663213
You roll a six-sided die and observe the number showing on the top side when the die comes to rest. What is the probability of observing:
a. an odd number?
b. a number greater than 2?
c. a number less than 7?
d. a prime number?
Answer:
a. P(O) = ¹/₂ = 0.5
As a percentage, this is 50%
b. P(> 2) = ²/₃ = 0.666...
As a percentage, this is 66.6...%
c. P(< 7) = 1
As a percentage, this is 100%
d. P(prime) = ¹/₂ = 0.5
As a percentage, this is 50%
Step-by-step explanation:
a.
1, 3 and 5 are odd, 3 of the outcomes
2, 4 and 6 are even, 3 of the outcomes
So, 3 of the 6 possible outcomes are odd and 3 are even;
Thus, the probability of an odd roll is ³/₆ (and the same applies to even);
This can be simplified to ¹/₂
b.
3, 4, 5 and 6 are the outcomes > 2;
1 and 2 are the outcomes ≤ 2;
So, 4 of the 6 possible outcomes are > 2;
Thus, the probability of rolling < 2 is ⁴/₆;
This can be simplified to ²/₃
c.
All outcomes are less than 7 since they are 1, 2, 3, 4, 5 or 6;
This means the probability of rolling less than 7 is ⁶/₆, or simply 1
d.
Prime numbers: 2, 3, 5, 7 ...
The possible prime number outcomes are 2, 3 and 5;
3 of the 6 possible outcomes, therefore, are prime so the probability of rolling a prime is ³/₆ or ¹/₂
will give brainliest to whoever helps
Answer:
x=4y
Step-by-step explanation:
Solving for x means you need to get it in the form x=?.
1. let's isolate the variable.
-2x-7y=y-4x
Add 4x to both sides to isolate:
2x-7y=y
Add 7y to both sides to isolate the x term:
2x=8y
Now we divide both sides by 2 (as we are solving for x):
x=4y
Hope this helps!
Plz help me on this qustin. Slove for w 2w ≥ -12
Answer:
w > -6
Step-by-step explanation:
divide each term n 2x > -12 by 2 then simplify
PLEASE HURRY
Todd drives 2,365 miles in a month. His average MPG is 20. How much will he pay in gas if gas is $3.12 per gallon?
$368.94
$390
$234
$208.12
Answer:
Should be $368.94
Step-by-step explanation:
hope it helps
please mark brainliest
The total cost of 118.25 gallons of gas is $368.94. Therefore, option A is the correct answer.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Todd drives 2,365 miles in a month and the average is 20 miles per gallon
Now, number of gallons =2,365/20
= 118.25 gallons
So, total cost = 118.25×3.12
= $368.94
Therefore, the total cost of gas is $368.94.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
Please can someone help me with this
Answer:
1 : 0.44.
Step-by-step explanation:
93 : 41
= (93/93) : (41/93)
= 1 : 0.44.
how to add and subtracts decimals from whole nubers
Answer:
ok so to do this you line them up like normal then always remember to make sure your decimal is in the right spot if you need more help there are many easy solutions online also if you need more help you can always send me a picture of the question or tell me it and it will make things a lot easier :)
Step-by-step explanation:
Need help with this quick plz??
Answer:10 or someones else’s answer this not my best
Step-by-step explanation:
You supervise the feeding of dogs at a kennel you use an average of 10 1/2 pounds of dog food each day.at the rate how many pounds of dog food will you use In 7 days
Answer:
73.5 pounds of dog food in 7 days
Step-by-step explanation:
10 1/2 x 7
10x 7 =70
1/2 x 7 = 3.5
70 + 3.5 =73.5 pounds of dog food in 7 days
i need help with this word problem please! :)
Answer:
Step-by-step explanation:
ASSUMING all family members purchased ride tickets
Let n be the number of family members
148 = 8 + n(16 + 12)
140 = 28n
n = 5
Can someone plsss help me
Answer:
y = -5/3 x + 40
Step-by-step explanation:
The general form is y = ax + b, where a is the slope and b is the y intercept.
So immediately you can see that b must be 40, since the line crosses the y axis at 40.
The slope can be calculated by finding two "nice" points on the line that are also grid lines.
How about (0,40) and (6, 30).
Then, calculate the slope by dividing the y difference by the x difference:
(30-40)/(6-0) = -10/6 = -5/3
So C must be the answer.
sam's age is 125% of mary's age. mary's age is p% of sam's age. what is the value of p?
math help please :) thxx
Answer: 15 inches
Step-by-step explanation:
15 × 1 ÷ 12 = 1.25 ft
1.25 ft = 1.25 × 12 = 15 in
A washer and a dryer cost $932 combined. The washer costs $82 more than the dryer. What is the cost of the dryer?
Step-by-step explanation:
Which job paid better 30 minutes for $10.00, 3.5 hours for $30.00, 2 hours for $30.00
Answer:
30 minutes for $10.00
Step-by-step explanation:
30min=$10
60min=$20
90min=$30
210min(3.5 hours)=$30
120min(2hours)=$30
Put the following numbers in order on the number line below.
1/2
1 1/2
3/5
1/4
1 3/4
1 1/4
7/8
Answer:
1/4
1/2
3/5
7/8
11/4
13/4
11/2
I am having trouble with this problem. I can’t figure it out. I have tried everything but can’t figure it out. After I figure out the problem I have to check it by writing out the problem and replacing the y with the number it equals. At the end it should equal 6
The picture is a different problem but this is what the check looks like
6=-y+42+-2y
Answer:
16 = y
Step-by-step explanation:
So you have the equation 6=-y+42+-2y
Find the y first
6=-y+42+-2y
add all y's together
6=-3y+42
subtract 42 on both sides
-48 = -13y
16 = y
------------------------------------------------
Now do the check:
Plug in 16 where ever it says y in the original equation
6= -(16) + 42 + -2(16)
open the brackets
6= -16+42-32
solve
6=26-32
6 = 6
Hope this helps
Seedless watermelon costs $.99 per pound. Find the cost per kilogram
please help and show the solution and answer thank uou
Answer:
$2.20/kg
Step-by-step explanation:
First, we must convert pounds to kilograms.
1 lb = 0.45 kg
If 1 lb costs $.99
then 0.45 kg costs $.99
0.45 kg = $.99
dividing both sides by 0.45
1 kg = .99 ÷ 0.45
1 kg = $2.20
A large grocery store needs to decide how many bottles of 2 liter
Dr. Pepper to stock each week in the store. The store must decide how many bottles to stock each week. The weekly demand for 2 liter Dr. Pepper follows a Normal Distribution with a mean of 550 bottles and a standard deviation of 26 bottles. The store desires that the probability that they do not run out of 2 liter bottles of Dr. Pepper in a week to be .995.
How many bottles should they stock at the beginning of the week to have a .995 probability of not running out during the week. Choose what you believe is the best answer from the following:
i) 601,
ii) 610
iii) 617
iv) 483
v) 490
vi) none of the above
Answer:
I Kinda Confused Man
Step-by-step explanation:
I Dont Even Know The Right Answer
Which expression is the additive inverse of -5/8?
A) 8/5
B) 5/8
C) -5/8
D) -8/5
Answer:
b
Step-by-step explanation:
An editor has a stack of k documents to review. The order in which the documents are reviewed is random with each ordering being equally likely. Of the k documents to review, two are named “Relaxation Through Mathematics” and “The Joy of Calculus.” Give an expression for each of the probabilities below as a function of k. Simplify your final expression as much as possible so that your answer does not include any expressions in the form a b . (a) What is the probability that “Relaxation Through Mathematics” is first to review?
Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{k}}[/tex] probability that “Relaxation Through Mathematics” is first to review.
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
There is a total of k documents to be reviewed, hence [tex]T = k[/tex].Of those documents, 1 is named “Relaxation Through Mathematics”, hence [tex]D = 1[/tex]The probability is:
[tex]p = \frac{D}{T} = \frac{1}{k}[/tex]
A similar problem is given at https://brainly.com/question/24483829
Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?
O f(x) = -3x - 6
O f(x) = -3x - 4
O f(x) = -3x + 16
O f(x) = -3x + 14
Answer:
-3x + 14
Step-by-step explanation:
Expand -3(x-5)
. -3 * x = -3x
. -3 * -5 = 15
So
. y+1 = -3x + 15
Subtract 1 from both sides so that y is the subject
. y = -3x + 14
Now you can juse replace y with f(x) since theyre basically the same thing
(NO LINKS AND DON'T COMMENT IF YOU DON'T KNOW)Compare the ratios using the models. Which statements are true? Check all that apply. 7 to 16 The model for the ratio 7 to 16 should show 7 cells shaded. The model for the ratio 6:8 should show 8 cells shaded. The ratio 7 to 16 is greater than 6:8. The ratio 6:8 is greater than the ratio 7 to 16. 6.8
Answer:
Step-by-step explanation:
Hi sorry if I’m bugging just trying to help out by getting Them B bye
HELP CODE HS 3.2.8 repeating message
The program is an illustration of loops.
Loops are used to perform iterative and repetitive operations.
The program where comments are used to explain each line is as follows:
public class MyProgram extends ConsoleProgram {
public void run() {
//This prompts the user for the number of times to repeat the message
echo("Anybody home?", readInt("Times to repeat: "));
}
private void echo(String lineOne, String lineTwo, int numTimes) {
//The following iteration is repeated numTimes times
for (int i = 0; i < numTimes; i++){
//This prints lineOne
System.out.println(lineOne);
//This prints lineTwo
System.out.println(lineTwo);
}
}
}
Read more about similar programs at:
https://brainly.com/question/17972093
5 is 10% of what plz i need help
Answer:
50
Step-by-step explanation:
Please please help please help me please please help me
Answer:
y = -6/7x - 10/7
Step-by-step explanation:
(-4,2) and (3,-4)
Slope: - 6/7
Take any point: (-4,2)
y-intercept: 2 - (- 6/7)(-4) = -10/7
Terry and Jim have two car loans totaling $ 26,004.
One loan has an annual percentage rate (APR) of 3.1 % and the other has an APR of 7%.
If the total interest they paid after one year is $1,481.25, what is the amount owed on each car?
(1 = PRT. Note t = 1 year).
Answer needed right away!! With explanation
The annual percentage rate is the interest rate for payment for the car
loan.
The mount owed on the car with an APR of 3.1% is approximately $8,693.08.The mount owed on the car with an APR of 7% is approximately $17,310.92.The given parameters are;
The amount of loan Terry and Jim have = $26,004
The annual percentage rate (APR) on one loan = 3.1 %
The annual percentage rate (APR) on the other loan = 7 %
Total interest paid after one year = $1,481.25
Required:
The amount owed on each car
Solution:
Let X represent the loan, with 3.1% APR, we have;
The other loan with 7% APR = 26,004 - X
Therefore;
0.031·X + 0.07·(26,004 - X) = 1,481.25
0.031·X + 1,820.28 - 0.07·X = 1,481.25
1,820.28 - 1,481.25 = 0.07·X - 0.031·X = 0.039·X
339.03 = 0.039·X
[tex]X = \dfrac{339.03}{0.039} \approx 8693.08[/tex]Therefore;
The amount owed on the car with an APR of 3.1%, X ≈ $8,693.08Therefore;
The amount owed on the car with an APR of 7% ≈ 26,004 - 8693.08 =
17310.92.
The amount owed on the car with an APR of 7% ≈ $17,310.92Learn more here:
https://brainly.com/question/15400760
What are the coordinates of the x-intercept of the line -3x-5y=12?
well, x-intercept means for a graphed funciton where the x-axis gets touched/intercepted, Check the picture below, when that occurs, y = 0, so if we want to know what "x" is at that point we can simply set y = 0 and solve for "x".
[tex]-3x-5y=12\implies \stackrel{\textit{setting y = 0}}{-3x-5(0) =12}\implies -3x-0=12 \\\\\\ -3x=12\implies x=\cfrac{12}{-3}\implies x = -4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{coordinates}}{(-4~~,~~0)}~\hfill[/tex]
Lucus had a balance of $21 in his checking account. Since then he made deposits of $187, $445 and $454 and wrote checks for $74, $137, $139, and $240. When all of the deposits are recorded and all of the checks clear, what balance will he have in his checking account?
Based on the opening balance, the amounts deposited, and the amounts for checks, the balance in the account should be $517.
The deposits into the account will increase the balance whilst the checks will do the opposite.
The balance is therefore:
= Opening balance + Deposits - Checks
= 21 + 187 + 445 + 454 - 74 - 137 - 139 - 240
= 21 + 1,086 - 590
= $517
In conclusion, the balance will be $517.
Find out more at https://brainly.com/question/7177682.
help me please 5 points
Answer:
-12
Step-by-step explanation:
no link no bot right please
9514 1404 393
Answer:
10.49
Step-by-step explanation:
Since we know 110 = 10² +10, we can make a first approximation to the root as ...
√10 ≈ 10 +10/21 . . . . . where 21 = 1 + 2×integer portion of root
This is a little outside the desired approximation accuracy, so we need to refine the estimate. There are a couple of simple ways to do this.
One of the best is to use the Babylonian method: average this value with the value obtained by dividing 110 by it.
((220/21) + (110/(220/21)))/2 = 110/21 +21/4 = 881/84 ≈ 10.49
An approximation of √110 accurate to hundredths is 10.49.
__
The other simple way to refine the root estimate is to carry the continued fraction approximation to one more level.
For n = s² +r, the first approximation is ...
√n = s +r/(2s+1)
An iterated approximation is ...
s + r/(s +(s +r/(2s+1)))
The adds 's' to the approximate root to make the new fraction denominator.
For this root, the refined approximation is ...
√110 ≈ 10 + 10/(10 +(10 +10/21)) = 10 +10/(430/21) = 10 +21/43 ≈ 10.49
_____
Additional comment
Any square root can be represented as a repeating continued fraction.
[tex]\displaystyle\sqrt{n}=\sqrt{s^2+r}\approx s+\cfrac{r}{2s+\cfrac{r}{2s+\dots}}[/tex]
If "f" represents the fractional part of the root, it can be refined by the iteration ...
[tex]f'=\dfrac{r}{2s+f}[/tex]
__
The above continued fraction iteration adds 1+ good decimal places to the root with each iteration. The Babylonian method described above doubles the number of good decimal places with each iteration. It very quickly converges to a root limited only by the precision available in your calculator.