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.
A similar problem is given at https://brainly.com/question/24663213
a small square garden has an area of 25 square yards. how long is each side of the garden?
Answer:
Step-by-step explanation:
A square has an area of base times height which is identical to base.
If x is the length of a side, A = x•x = x²
x² = 25
x = √25
x = 5 yards
A circle has a diameter of 18 inches. Which is the following is closet to the circumference of the circle?
Answer:25.13
Step-by-step explanation:
use the formulas
C=2πr
d=2r
PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula
2x ( x - 2x) = 1
2x= 1
x = 0.5
x-2x = 1
-x = 1
x = -1
A linear function is defined by the equation f(x)=-2(x+5). The table below represents another linear function ,g(x). What is the distance between the y-intercept of f(x) and the y-intercept of g(x) ?
Answer:
b. 3
Step-by-step explanation:
find equation of g(x):
(-16-(-10))/(-3-(-1))=-6/-2=3
apply a point
-16=3(-3)+n
-16=-9+n
n=-7
g(x)=3x-7
find equation of f(x):
f(x)=-2(x+5)
simplify
f(x)=-2x-10
subtract y intercepts
-7-10=3
3
A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is given by
the formula h = 16t^2 + 32t+ + 240. After how long will the stone hit the ground?
A projectile is an object launched into space, and moving under the influence of gravity and momentum. The stone here is an example. Thus, the time taken for the stone to reach the ground is 10 seconds.
On launching of the stone into space, it behaves as a projectile. Thus moving under the influence of gravity and its momentum. Its momentum is the product of its mass and velocity.
The height h, is given as:
h = 16[tex]t^{2}[/tex] + 32t + 240
Differentiating the expression with respect to t, we have;
32t + 32 = 0
t = -1 seconds
Substitute the value of time, t, in the equation for the height;
h = 16 - 32 + 240
= 224
h = 224 m
Total height, S = 240 + 224
= 464
S = 464 m
The total height covered by the stone is 464 m.
From the second equation of free fall,
S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
S = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
464 = [tex]\frac{1}{2}[/tex]*9.8*[tex]t^{2}[/tex]
[tex]t^{2}[/tex] = [tex]\frac{928}{9.8}[/tex]
= 94.694
t = [tex]\sqrt{94.694}[/tex]
= 9.7311
t ≅ 10 seconds
The time taken for the stone to hit the ground is 10 seconds.
Thus option A is the required answer.
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Saturn the ring system around saturn has a diameter of 170000miles. find the circumference of the ring system.
Answer:
534,070.75 miles
Step-by-step explanation:
The circumference formula is [tex]d\pi[/tex] or [tex]2r\pi[/tex].
But since we're given the diameter, 170,000, all we have to do is multiply it by [tex]\pi[/tex].
[tex]170000*\pi = 534070.75 (Rounded)[/tex]
sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday ?
Answer:
12x-15 dollars
Step-by-step explanation:
She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.
How
many different possible outcomes are there if you spin 6 spinners labeled Red,
Blue, Yellow?
Answer:
Step-by-step explanation:
On a family trip to Oman, Tarek drove 300 km in 5 hours. This is an example of a unit rate or a rate? Please tell the correct answer.
Answer:
300 km in 5 hours is the rate
unit rate is how much in one unit
in this case the unit is one hour
60km / hour
Solve the following questions: 17 x 10 = 24 x 100 = 6 x 1000 =
Answer:
17 x 10= 170
24 x 100= 2,400
6 x 1000= 6000
Step-by-step explanation:
Which statement is true in the question below?
Answer:B
Step-by-step explanation:
pls pls help!!! brainliest!!
Chris got a new cell phone and wanted to download some music. The graph shows the storage on his cell phone as a function of
-intercept in terms of this problem.
A. The x-intercept shows that he can download 53 songs before running out of storage on his phone
B. The x-intercept shows that he started with 16 songs downloaded before adding more.
C. The x-intercept shows that he has 53 GB of storage on his phone.
D. The x-intercept shows that he can download 16 songs before running out of storage on his phone.
Answer: the answer is A. The x-intercept shows that he can download 53 songs before running out of storage on his phone
Step-by-step explanation:
Chris got a new cell phone and wanted to download some music. The graph shows the storage on his cell phone as a function of
-intercept in terms of this problem.
A. The x-intercept shows that he can download 53 songs before running out of storage on his phone
B. The x-intercept shows that he started with 16 songs downloaded before adding more.
C. The x-intercept shows that he has 53 GB of storage on his phone.
D. The x-intercept shows that he can download 16 songs before running out of storage on his phone.
Solve the inequality -3p + 7 < -2p+8
p > − 1
............................................................................................
Find the number k so that 125 is 65% of k
The value of the unknown number k with the given percentage is 192.31.
The given parameters;
percentage of the unknown number = 65%result obtained from 65% of k = 125The original value of the unknown number "k" is calculated by setting up a linear equation as follows;
[tex]k \times 0.65 =125\\\\k = \frac{125}{0.65} \\\\k = 192.31[/tex]
Thus, from the result above we can conclude that the value of the unknown number "k" is 192.31.
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I really need help. Giving brainliest to the real answer. Please my grade closes tomorrow (don’t mind the writing I tried doing it myself)
Answer:
1. B
2. D
3. E
4. C
5. A
6. F
Find total cost to the nearest cent.$1500 computer; 7% tax
Answer:
Total Cost = $1605
Step-by-step explanation:
Total Cost = Cost of the Computer + (Cost of the computer × tax %)
Total Cost = $1500 + ($1500 × .07)
Total Cost $1500 + $105
Total Cost = $1605
5/7 times 7/8 in simple form
Answer:
609
Step-by-stepStep-by-step explanation:
nope
Solve by factoring
Y^2+5y+6=0
•-3
•4,8
•2,3
•-4,3
Step-by-step explanation:
y²+5y+6=0
y²+2y+3y+6=0
y(y+2)+3(y+2)=0
(y+2)(y+3)=0
:. y=2,3
option C.
hope this helps you.
Answer:
Step-by-step explanation:
Y^2+5y+6=0
5^2 - 4*2*6
25-48
23 i
-5 +4.79i => -0.21 => 0.5i
2*2 4
-5 +4.79i => -9.79 => 2.44i
2*2 4
a car traveling at 49 ft/sec decelerates at a constant 7 feet per second squared. how many feet does the car travel before coming to a complete stop?
Answer:
7feet I hope this help you.
What is: 17/21 + 1/3 - 5/7 as a fraction in simplest form?
(Giving brainliest, 5 stars and a thanks)
Answer:
3/7
Step-by-step explanation:
If g(t) = 5t^2 - 3t - 3 and h(t) = 7t^2 + 9t - 8, find g(t) + h(t)
[tex]g(t) + h(t)\\\\=(5t^2 -3t -3)+(7t^2 +9t -8)\\\\=12t^2+6t-11[/tex]
Five more than the difference of two numbers
Answer: (x - y) + 5
Step-by-step explanation: Difference of two numbers means subtraction so we know its x - y. Then, we need five more so addition which means (x - y) + 5.
Would appreciate brainly <3
What is 2x=6 pls answer fasttt
Answer:
×=6/2=3
Step-by-step explanation:
What should be done to both sides of the equation in order to solve -5m = -40?
A. Multiply by -5.
B. Divide by -5.
C. Multiply by -40.
D. Divide by -40.
Answer:
B.Divide by -5
Step-by-step explanation:
-5m= -40
divide bothe sides by -5
m= -40/-5
m= 8
Identify the domain and range of each relation. Is the relation a function?
x y
5 3
8 6
10 11
Answer:
No
Step-by-step explanation:
Considering domain and range of a function, we first have to create the function based off the given points.
So this would mean first having to find the slope of the equation, which would be using the slop/point formula of [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex]
Taking the first 2 points, it would make the equation as follows:
[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{6-3}{8-5} = \frac{3}{3} = 1[/tex]
To be sure, we take the 2nd pair of points (point 2 and point 3) and make the equation with those as well.
[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{11-6}{10-8} = \frac{5}{2} = 2.5[/tex]
Since these 2 slopes do not match, this set of relations cannot be a function, and therefore a domain/range cannot be found.
A bedroom is in the shape of a square. The length of the room is 6p7q. What is the area of the bedroom in terms of p and q?
Answer:
(6p7q)²
Step-by-step explanation:
you have to square the length to find the area of a square
The area of the bedroom would be (6p7q)² square units.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
A bedroom is in the shape of a square. The length of the room is 6p7q.
According to the given question, we can write the dimension as:
The width of the room = 6p7q units
The length of the room = 6p7q units
The area of the room = width of the room × length of the room
The area of the room = 6p7q × 6p7q
Apply the multiplication operation,
The area of the room = (6p7q)² square units
Therefore, the area of the room is (6p7q)² square units.
Learn more about the Area of the rectangle here:
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Pease someone help me with this.
I just need two more tiles to create but I don't know how they would look like.
I will show below what I have filled and what the question is asking.
Question: How many different layouts are possible for a path that is five feet long? Draw them all here:
Answer:
go get that girl
Step-by-step explanation:
sike you use what you got the first time
Answer:
If the path is 5 feet long, then you could only have a limited amount of layouts...so- you could only have 5 limited spaces in one layout, making it 5 DIFFERENT LAYOUTS.
(I don't know what they're really asking, but I did what makes sense, SORRY if I'm wrong, I'm going to try and solve it better/draw it.)
(PLEASE HELP ME I NEED THIS VERY QUICKLY)
find the value of x in the rhombus
Answer:
1/2 and -5/2
Step-by-step explanation:
Assuming all sides are equal just put the equations equal to each other and solve
How do you multiply 47.5 by 28
Answer: uhhhh
Step-by-step explanation:
Answer:
Step-by-step explanation:
1330 is the answer
problem referred below
pls help
Answer:
B
7 less than 3 times a number (X) is (3x-7), and then the sum of these two numbers means we have (3x-7)+X, and then we know this equals 109, leaving us with:
(3x-7)+x = 109