Toothpaste Ken is traveling for his business. He has a new 0.85-ounce tube of toothpaste that’s supposed to last him the whole trip. The amount of toothpaste Ken squeezes out of the tube each time he brushes varies according to a Normal distribution with mean 0.13 ounces and standard deviation 0.02 ounces. If Ken brushes his teeth six times on a randomly selected trip, what’s the probability that he’ll use all the toothpaste in the tube?
Using the normal distribution, it is found that there is a 0.2798 = 27.98% probability that he’ll use all the toothpaste in the tube.
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.When a variable is multiplied by a constant, both the mean and the standard deviation are multiplied by the constant.In this problem:
Brushes 6 times.Each time, mean of 0.13 ounces, hence, for the 6 times, [tex]\mu = 0.13(6) = 0.78[/tex]Each time, standard deviation of 0.02 ounces, hence, for the 6 times, [tex]\sigma = 0.02(6) = 0.12[/tex].The probability that he’ll use all the toothpaste in the tube is 1 subtracted by the p-value of Z when X = 0.85, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.85 - 0.78}{0.12}[/tex]
[tex]Z = 0.583[/tex]
[tex]Z = 0.583[/tex] has a p-value of 0.7202.
1 - 0.7202 = 0.2798
0.2798 = 27.98% probability that he’ll use all the toothpaste in the tube.
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A rectangular board is 1100 millimeters long and 800 millimeters wide. What is the area of the board in square meters? Do not round
Answer:
880 square meters
Step-by-step explanation:
You need to find the area of the rectangular board, which would be 1100x800=880000 square millimeters. 1 meter=1000 millimeters, so you divide 880000 by 1000, getting 880 square meters.
The area of the board is 880 square meters.
Area of rectangleYou need to find the area of the rectangular board, which would be 1100x800=880000 square millimeters.
1 meter=1000 millimeters, so you divide 880000 by 1000, getting 880 square meters.
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The question is in the pic! Answer by 10:20 to receive 5 stars, thanks, and brainliest!
please no links!
Answer:
A, y=1/3x
Step-by-step explanation:
You can use the slope formula.
Need help on this plz and thanks
Answer:
y = 5x - 25
Step-by-step explanation:
Using the equation y=mx+b to determine the function. The line must be perpendicular, so the m (slope) value must be the opposite reciprocal of the given equation, which is 5. Then you have to solve the equation using the given point to find b.
10 = 5 * (7) + b
10 = 35 + b
-25 = b
So final equation is y = 5x - 25.
Is 40 is 50% of 80 true or false
With step by step evidence
Answer:
please mark brainliest
it is true
Step-by-step explanation:
if you multiplie 80 by 0.50 you will get 40,
Which transformations map the strip pattern onto itself?
PPPPP
O
a horizontal translation only
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
a horizontal translation and a 180° rotation
Answer:
2nd is correct
But u can also write by guessing. it is the best trick used by toppers.
Qiang is inviting 4 friends to a party each friend wants 4 cookies each box has 10 cookies how many boxes should qiang get
string is 38 cm longer than his desk. Length of his reading book is 26 cm, what is the length of his string?
Answer:
has in lenght of 2 or 5
Step-by-step explanation:
odyssey ware
ig i d k
Find the product. Simplify your answer.
(2c+3)(3c+1)
what is 2/7 divided by 4
Answer:
2/7 ÷ 4= 2/7 × 1/4
=2/28
...................................
paulita reads an average of 20 pages each day she has 6 days to read 10 pages will she finish her reading in 6 days explain?
Answer:
Yes
Step-by-step explanation:
If she is reading 20 pages a day, and needs to read 10 pages, then she needs half a day, and since she has 6 days, she can do this.
sarah had $40 at the beginning of the week. She babysat 3 days and by Saturday had $110. what is the percent increase
Answer:
175% increase
Step-by-step explanation:
a function is given, 2^x + 3. find f(-2)
Answer:
2_3_4_4/547767()9897568. thank
Given A(-4-5), B(8,-1), C (-5, 9), and D (2,8) determine whether AB is parallel,
perpendicular, or neither to CD
Answer:
neither
Step-by-step explanation:
If 2 lines are parallel then their slopes are equal
If 2 lines are perpendicular then the product of their slopes = - 1
Calculate the slopes m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 4, - 5 ) and (x₂, y₂ ) = B (8, - 1 )
[tex]m_{AB}[/tex] = [tex]\frac{-1-(-5)}{8-(-4)}[/tex] = [tex]\frac{-1+5}{8+4}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]
Repeat
with (x₁, y₁ ) = C (- 5, 9 ) and (x₂, y₂ ) = D (2, 8 )
[tex]m_{CD}[/tex] = [tex]\frac{8-9}{2-(-5)}[/tex] = [tex]\frac{-1}{2+5}[/tex] = - [tex]\frac{1}{7}[/tex]
The slopes are neither equal nor have a product of - 1
Which are shown on the diagram? Check all that apply.
Answer:
B C. F
Step-by-step explanation:
What is the advantage of opening a credit card account at a young age?
A. It helps people begin to build a credit history.
B. It helps people begin to accumulate debt.
C. It allows people to take advantage of high interest rates.
D. It allows people to defer their tax payments.
Answer:
A. it helps people begin to build credit history.
Step-by-step explanation: It wants to know an ADVANTAGE! B is NOT an advantage. C high interest rates are very bad and make you pay more so its not C. D do i even really have to explain? lol the correct answer is A :)
Answer:
A. It helps people begin to build a credit history.
Step-by-step explanation:
What is 6/9 divided by 1/3
Answer:
2
Step-by-step explanation:
6/9÷1/3
Keep Change Flip
6/9 x 3/1
Multiply.
6/3
=2
Hope this helps :)
Answer:
2
Step-by-step explanation:
we have[tex]\frac{6/9}{1/3}[/tex] . dividing by a fraction is the same as multiplying by the reciprocal. so [tex]\frac{6/9}{1/3}[/tex]= (6/9) * 1/(1/3) = (6/9) * 3. we can also simplify 6/9 to 2/3 by taking 3 out of the numerator and denominator. now we have (2/3) * 3 which equals 2
[tex]1 - 25x {}^{2} [/tex]
what's the answer po?
[tex]1 - {25x}^{2} \\ = (1)^{2} - (5x {)}^{2} \\ = (1 - 5x)(1 + 5x)[/tex]
Answer:(1 - 5x)(1 + 5x)
Hope it helps.
Do comment if you have any query.
Can someone help me please
Answer:
52.7%
Step-by-step explanation:
If I am correct it means to round the percentage, so it would be 58% if you are rounding it
16 is 4% of what number?
Answer:
400!
Step-by-step explanation:
16 times 25 is 400, therefore 16 is four percent of 400! Also, when finding out 4% of something, divide it by 25. When fiding 25% of something, divide it by 4!
16 is 4 percent of 400 as per the concept of percentages.
16 is 4% of 400.
To determine the number that 16 is 4% of, we can set up a proportion using the concept of percentages. Let's denote the unknown number as "x." The proportion can be written as:
16/x = 4/100
To solve this proportion, we can cross-multiply:
16 (100) = 4x
1600 = 4x
To isolate x, we divide both sides of the equation by 4:
1600/4 = x
x = 400
Therefore, 16 is 4% of 400.
To verify this, we can calculate 4% of 400:
4/100 x 400 = 0.04 x 400 = 16
As we can see, 16 is indeed 4% of 400.
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The graph of a linear is shown below on the coordinate grid. What is the y-intercept of the graph of the linear equation? Bubble is your answer.
Answer: -7 on the y-axis
Step-by-step explanation:
HELP ASAP PLSSSSS I NEED IT
========================================================
Explanation:
The notation [tex]P(\text{blue, not 2})[/tex] is asking for the probability of landing on a blue space and having the dice show a value that isn't 2. That means we can roll any of the following: {1,3,4,5,6}.
The probability of landing on blue is 1/4 since there's one blue space out of four total. This is assuming all four spaces are equal in area. The probability of landing on anything but "2" is 5/6 because there are five sides that aren't labeled "2" out of six sides total.
Multiply the fractions found: (1/4)*(5/6) = (1*5)/(4*6) = 5/24
On a coordinate grid, point L is at (−4, 4) and point S is at (8, 4). The distance (in units) between points L and S is ______. Input only whole numbers, such as 2.
Answer:
12 this is da a answer
12 twelve
Solve the following of:
11/15 × 7/8 ÷ 3/4
Answer:
Well following the order of operations
You just do this from left to right
11/15* 7/8 = 77/120
77/120 ÷ 3/4
or
77/120 * 4/3
77/90 (simplified)
77/90 is the answer
Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew.
How many sit-ups did Matthew complete?
Hey, wassup its sofie dossi! I would like to ask you what 567865676545678+456789098765432347898789 is?
Answer:
828383627262827294688
Step-by-step explanation:
When you add 567865676545678 to 456789098765432347898789, the best way to do it is by placing the biggest number above the smallest number on a paper. Visual representation does help!
To be clear, I am meaning in a format such as this;
456789098765432347898789
+ 567865676545678
----------------------------------------------
Then, just as you would add any simple 2 number equation such as 3+5, etc. you will look at these numbers from right to left. Look at the bottom right one first, then add it to the one above it, if it adds up above 9, you will carry the leftover number above the row to the left of your current row. So currently you are in row 1, and you will add up to get 17. That means you will keep the 7 and write it down at the bottom and carry the one to the next row, and place it above the 8.
Hope this helps!
I need to find out the answer for this problem...
Answer:
where is the problem to solve. please tell me
-7+0.3(-4x+20)+8.8x
Help me plz
This is 8th grade math btw
Answer:
7.6x−1
Step-by-step explanation:
Expand by distributing terms
−7−1.2x+6+8.8x
Collect like terms.
(−7+6)+(−1.2x+8.8x)
Simplify
−1+7.6x
Regroup terms.
7.6x−1
solve the equation 5/x+3 + 4/x+2 = 2
Answer:
5 + 4 = 9
x × x = X2
3 + 2 = 5
9/x + 5 = 2
Answer:
5/x+3+4/x+2=2
=9/x+5=2
9/x=-3
Multiply both sides by x
9= -3x
Divide by -3
Answer x= -3
Hope this helps
Teresa piano recital starts at 2:41 p.m. It ended at 6:36 pm how long did the recital last
Answer:
way too long
Step-by-step explanation:
jk, 3 hours and 55 minutes