Answer:
a) P(X>=1) = 0,7293 or P(X>=1) = 72,93 %
b) P(X>=3) = 0,5686 or P(X>=3) = 56,86 %
c) y = 0,8494 mm³
d) λ = 1,69897 inc per mm³
Step-by-step explanation:
a) P(X>=1) = 1 - P(X=0)
P(X = 0) = λ⁰ * e∧⁻λ / 0! where λ = 2 in/mm³
P(X = 0) = e∧-2 ⇒ P(X = 0) = 0,2706
Then
P(X>=1) = 1 - 0,2706
P(X>=1) = 0,7293 or P(X>=1) = 72,93 %
b) 3 inc. in 4 mm³ = 2*4/3 λ = 2,67 inc. per mm³
P(X>=3) = 1 - P(X=1 ) - P(X=2)
P(X=1) = λ¹ * e∧-λ / 1! ⇒ P(X=1) = 2,67 *e∧- 2,67/1
P(X=1) = 0,1846
P(X=2) = λ² * e∧-λ / 2! ⇒ P(X=2) = (2,67)² * e ∧ - 2,67/2
P(X=2) = 7,1289* 0,06925/2 ⇒ P(X=2) = 0,2468
Then
P(X>=3) = 1 - 0,1846 - 0,2468
P(X>=3) = 0,5686 or P(X>=3) = 56,86 %
c) P(X>=1) = 0,98
and λ = 2*y where y is the quantity of material
P(X=0) = 1 - P(X>=1)
P(X=0) = 1 - 0,98 P(X=0) = 0,02
0,02 = (2*y)⁰ * e ∧ -2*y /0!
0,02 = 1 * e ∧ -2*y
Taking log on both sides of the equation
log (0,02) = -2*y - 1,69897 = - 2*y
y = 0,8494 mm³
d) P(X >=1 ) = 1 - P( X = 0)
0,98 = 1 - P( X = 0)
P( X = 0) = 0,02
0,02 = λ⁰ * e ∧ - λ / 0!
0,02 = e ∧ -λ
Taking log on both sides of the equation we get:
log ( 0,02 ) = - λ
- 1,69897 = - λ
λ = 1,69897 inc. per mm³
Kari wants to measure the height of a tree. She walks exactly 90 feet away from the base of the tree and looks up to the top of it. The angle from the ground to the top of the tree is 32 degrees. This particular tree grows at an angle of 85 degrees with respect to the ground rather than vertically. How tall is the tree to the nearest tenth of a foot? Enter a number answer only.
Answer:
this is a Sin(), Cos() and Tan() function problem. use the Mnemonic (new-monic) SOH CAH TOA (soo caw tow ah ) to remember which function sin() cos() or tan() to use.. :) these types of problems are pretty confusing, Use that Mnemonic to keep the functions in order
Step-by-step explanation:
since we know the distance to the tree.. and we know the angle and we have a formula TOA to figure out the one pieces of info we don't know ... use TOA that tells us our formula.. TOA(Ф)=Opp / Adj where Tan(Ф) is using Ф= to our angle of 32 degrees ( remember Ф can be in degrees or radians, its in degrees for this problem) Adj = the Adjacent side of the triangle from the known angle.. the 32 degree angle , Opp = the Opposite side of the triangle formed by the imaginary lines from Kari to the base of the tree and from Kari to the top of the tree.. and then the tree , from it's base to it's top... we know the angle and the Adj side of that triangle so we can figure out that last part of TOA by saying Tan(Ф)=Opp/ Adj .... or say Tan(32)= Opp / Adj ⇒ Tan(32)=Opp / 90 ⇒ Tan(32) *90 = Opp this will be the height from the ground to the top of the tree.. but.. the tree is at an angle , keep in mind... sooo Tan(32)*90=56.238 feet now take the new triangle that we know one side to... from the ground to the height of the tree.. in a vertical line from the ground to a point at 56.238 feet .. that is the Adj side of this new triangle.. the tree is on the Hypotenuse of this new trialge, which we want to find. we know the Adj side we know the angle to find the Hypotenuse use CAH , from our Mnemonic at the top, the Mnemonic is really important b/c keeping track of which part goes where in the triangles is pretty confusing. Cos(5)=Adj / Hyp ⇒ Cos(5)=56.238 / Hyp ⇒56.238 / Cos(5)= Hyp = 56.453 feet :) that's how tall that tree is , lets chop it down :P and blame it on George Washington :P The tree, to the nearest 10th of a foot, is 56.5 feet
8. A 20 degree caudal angle was used on a particular AP exam. If the patient had to be imaged with a PA projection, how would the angle change to produce the same image
Answer:
The answer is "5 or 35".
Step-by-step explanation:
It also is important to understand the difference in the AP and PA predictions, and we will talk regarding their difference, and maybe we'll take the circumstances.
It is called the PA view during the process of x-ray and as the x-ray passes from its body back to both the foreground.
Its direction was its reverse throughout the AP view. Now let's understand what critical it's really. So less the distance among object and display was also created, much clears the shadow, and according to physics concepts x-ray was its light source in this instance, but we're the target. In AP display's the rear side, which means good shadow, whereas the implications of alternative give better shadow in the PA view.
If talking around the same picture, the angle difference between both the AP and the PA visual is maximum of 15-20°.
Its situation indicates a caudal angle of 20° for the AP test. So, it must be for PA:
[tex]\to 20(\pm) 15 \\\\\to 20+ 15 \ \ \ \ or \ \ \ \ \to 20-15 \\\\\to 35 \ \ \ \ or \ \ \ \ \to 5 \\\\[/tex]
round 49,815,662 to the nearest hundred thousand
Answer:
49,800,000 is the answer
Answer:
50,000,000
Step-by-step explanation: What you would do is if you have to round up, remember this way to always get it right. 4 or below = stays the same 5 or above = rounds up. so 49,815,662. Well we would take the 8 and round it up to the 9 making it 10 so 49 turns into 50.
Fatima is on the track team. One day at practice, it took her 19 minutes to run 2 miles. Select the expression that gives this as a unit rate.
Question 8 options:
19 minutes2 miles
912 minutes1 mile
1 mile912 minutes
912
miles per minute.
Answer:
19 minutes in 2 miles is how long it tool her to run it
Step-by-step explanation:
Answer:
9 1/2
Step-by-step explanation:
took test
inequality is shown 1/8
Answer: answer is D 0.02
Step-by-step explanation:
Got it right
Determine the quotient of 2 over 5 divided by 3 over 4.
I NEED HELP ASAP
Answer:
8/15
Step-by-step explanation:
(2/5)/(3/4)
keep change flip
2*4=8
5*3=15
8/15
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex] (convert division to multiplication by inverting the second fraction)
= [tex]\frac{2}{5}[/tex] × [tex]\frac{4}{3}[/tex] (combine fractions by multiplying numerator with numerator and denominator by denominator)
= [tex]\frac{(2)(4)}{(5)(3)}[/tex]
= [tex]\frac{8}{15}[/tex]
Juanita drove 336 miles on 14 gallons of gasoline whats is the ratio of miles to gallons
Answer:
24:1
Step-by-step explanation:
The ratio is 336:14 to 24:1.
Lara took a total of 10 pages of notes during 2 hours of class. After attending 9 hours of
class, how many total pages of notes will Lara have in her notebook? Solve using unit rates.
Fast please i need it asap thanks
Answer:
45 pages
Step-by-step explanation:
The unit rate is the number of pages divided by the unit of time
10 pages /2 hours
5 pages per hour
To find the total number of pages of notes take, multiply the unit rate by the total amount of time
We have 9 hours
5 pages per hour * 9 hours
45 pages
Answer:
take x to be the no. of pages for 9 hours
10 pages 2 hours
x pages 9 hours
Cross multiplication:
90 = 2x
x = 90/2
x = 45
Lara will cmplte 45 pages in 9 hours.
Which one of these points is a solution to y<-3x - 2?
A. (0, 2)
B. (0.4)
C. (6,4)
D. (0-10)
Answer:
c
Step-by-step explanation:
A doctor sees between 7 and 12 patients each day.
On Mondays and Tuesdays, the appointment times are 15 minutes.
On Wednesdays and Thursdays, they are 30 minutes.
On Fridays, they are one hour long.
The doctor works for no more than 8 hours a day.
Here are some inequalities that represent this situation.
Answer:
The complete question seems to be:
A doctor sees between 7 and 12 patients each day.
On Mondays and Tuesdays, the appointment times are 15 minutes.
On Wednesdays and Thursdays, they are 30 minutes.
On Fridays, they are one hour long.
The doctor works for no more than 8 hours a day.
Here are some inequalities that represent this situation.
0.25 ≤ y ≤ 1
7 ≤ x ≤ 12
xy ≤ 8
What represents each variable?
7 ≤ x ≤ 12
We know that the doctor sees between 7 and 12 patients each day, and the smallest value of x is 7, and the largest is 12, then x must represent the number of patients that the doctors see in a given day.
0.25 ≤ y ≤ 1
now,
On Mondays and Tuesdays, each appointment is 15 minutes long.
An hour has 60 minutes.
Then 15 minutes = 15/60 hours = 0.25 hours.
On Wednesdays and Thursdays, they are 30 minutes.
30 minutes = 30/60 hours = 0.5 hours.
Then the possible value of the time for each appointment are {0.25, 0.5, 1}
Then the variable y must represent the time that each appointment takes.
xy ≤ 8
We know that:
x = number of patients in a given day.
y = time that the appointment takes in a given day.
x*y = total number of hours that he works in that given day.
and we know that he works, at maximum, 8 hours.
then the inequality xy ≤ 8 has sense.
Find the distance from point A to the given line.
Round to nearest tenth
A(2, −1), y = −x + 4
Answer:
Let's see what to do buddy...
Step-by-step explanation:
_________________________________
Step (1)
To find the distance between the line which formed like :
[tex]ax + by + c = 0[/tex]
and the point which is like :
[tex]h = \binom{m}{n} \\ [/tex]
we use following equation :
[tex]d = \frac{ |a(m) + b(n) + c| }{ \sqrt{ {a}^{2} + {b}^{2} } } \\ [/tex]
_________________________________ Step (2)
[tex]y = - x + 4[/tex]
[tex]x + y - 4 = 0[/tex]
So ;
[tex]a = 1[/tex]
[tex]b = 1[/tex]
[tex]c = - 4[/tex]
°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
A = ( 2 , - 1 )
°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
So we have :
[tex]d = \frac{ | \: 1(2) + 1( - 1) - 4| }{ \sqrt{ {1}^{2} + {1}^{2} } } = \\ [/tex]
[tex]d = \frac{ |2 - 1 - 4| }{ \sqrt{1 + 1} } = \frac{ | - 3| }{ \sqrt{2} } \\ [/tex]
[tex]d = \frac{3}{ \sqrt{2} } \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
estimated answer for 3 3/7 x 1 3/4 simplify and type a whole number
I’ll make brainliest..pls help
Answer:270
Step-by-step explanation:
Terry works at a garden store and is in Charge of ordering fertilizer for the plants in the store his boss told him to order a 30 day supply fertilizer if the story goes through about 5 kg of fertilizer every 10 days how many 50 g bags of fertilizer will Terry need to buy convert that amount to grams and calculate how many groups of 50 g you can make with that amount
Answer:
Step-by-step explanation:
turfgrass fertilizers contain one or more plant nutrients; the most common of these are nitrogen, phosphorus (designated on labels as available phosphate, or P2O5), and potassium (designated as water-soluble potash, or K2O)
A paddle board rental company has two different rental options. Option 1 - Pay a yearly membership fee of $120 and then pay $10 each time you want to rent a board. Option 2 - Pay no membership fee and then pay $18 each time you want to rent a board. Which equation can be used to find x, the number of times rented so that the two options are equal in cost? (8.8B) *
1 point
10x = 120 + 18x
120 + 10x = 18x
120x = 10 + 18
10x + 18x = 120
Answer:
option b - 120+10x=18x
Step-by-step explanation:$120 is yearly and $10 is multiplied by x - how many times you want to rent
and then 18 is how much you pay for x times you want to rent it
PLEASE HELP Use this graph to answer the questions
Answer:
a. the domain is 1 ≤ x ≤ 6
b. the cost of 4 sandwhiches is $8
Step-by-step explanation:
A. The domain is all of the possible x values (the range is all of the y values)
B. By finding the x value of 4 you can then trace it up until it intersects with the slope or your data points. Then you look left and see which y-value is associated with the x-value.
I hope this was helpful! Good Luck!
How many times larger is 2x10^15 than 4x10^9
Answer:
500,000
Step-by-step explanation:
2 · 10^15 = 2,000,000,000,000,000
4 · 10^9 = 4,000,000,000
2,000,000,000,000,000 divided by 4,000,000,000 = 500,000
Tip: When you're multiplying 10 to the power of any number, you can just add that amount of zeros to 1.
Example: 10^7
Answer: 10,000,000
There are seven zeros.
Hope I helped :)
Please consider Brainliest :)
her 4. Elijah cut a 64-inch long board into 6 equal length boards. How long was each board? Write your answer with a fraction if necessary, . A. 10 inches, 1 inch left over B inches C 10 inches, 3 inches left over D. inches
Answer:
the answer is 10 and 3.99
Step-by-step explanation:
divide 64 by 6 get 10.66 then multiply 6 by .66
Which expression is equivalent to 6(x-4)
Answer:
is it multiple choice? is 6x -24 an option?
PLZ HELP MEEEEEEEEEEEEEEEEEE
Answer:
c
Step-by-step explanation:
its makes most sense
Answer:
c. because i look it ☝ done plzzz help me
Can someone send the answers to these
Answer:
1) 2 square root 17
2) 3 square root 10
3) 3 square root 15
Step-by-step explanation:
your welcome :) my apologies, I could not write the square root symbol.
what is 2x-6 >-16 and 3x-10 8
Answer: 2x-6>-16 = -5
Step-by-step explanation:
add 6 to -16, you get -10.
divide 2x by 10, you get -5
Write a possible equation for a polynomial whose graph has horizontal intercepts at x = 2,-1,-3.
help
Answer:
y = (x - 2)(x + 1)(x + 3)
Step-by-step explanation:
horizontal intercepts at x = 2, -1, -3
-> y = 0 when x = 2, x = -1, and x = -3
Think x minus what equals y?
1. y is 0 and x is 2 -> 0 = (2 - 2) -> y = (x - 2)
2. y is 0 and x is -1 -> 0 = (-1 - (-1)) -> y = (x + 1)
3. y is 0 and x is -3 -> 0 = (-3 - (-3)) -> y = (x - 3)
so the equation is y = (x - 2)(x + 1)(x + 3)
since y = 0 when x = 2, x = -1, and x = -3
We want to find a polynomial given that we know its roots.
We will get:
p(x) = x^3 + 2*x^2 - 5*x - 6
-------------------------------------
A polynomial with the roots {x₁, x₂, ..., xₙ} and a leading coefficient A, we can write it as:
p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
Here we know that the roots (horizontal intercepts) are {2, -1 , -3} but we do not know the leading coefficient, so we will use A = 1.
Then the polynomial is:
p(x) = (x - 2)*(x + 1)*(x + 3)
Expanding that we get:
p(x) = (x^2 - x - 2)*(x + 3)
p(x) = x^3 + 2*x^2 - 5*x - 6
This is a possible equation for the polynomial with the given horizontal intercepts.
If you want to learn more, you can read:
https://brainly.com/question/11536910
1 dm² ÷ 1 cm² = ?
How much is it?
- Thanks
Mabel earn 180$ in 18 hours.at this rate how many dollars will she earn in 30 hours?
Since she earns $180 in 18 hours, she earns a rate of $ 180/18 per hour, which is $10 per hour.
In 30 hours she earns 30 times 10 dollars, which is 300 dollars.
You could also set up a proportion saying that 180/18 = x/30, then cross multiply to get 18x = 5400, and divide by 18 on both sides to get 300.
Answer:
Mabel will earn 300$ in 30 hours
Step-by-step explanation:
I took 180 and divided it by 18 so that I can find how much money she earns per hour.
180÷18= 10
10 × 30= 300
12 cups in 4 bottles=
Answer:
???
Step-by-step explanation:
1 cup=4 bottles
2 cup=8 bottles
3 cup=12 bottles
4 cup= 16 bottles
5 cup=20 bottles
6 cup=24 bottles
3/5 + 2/6=......................
Answer:
14/15
Step-by-step explanation:
3/5 + 2/6 = 3/5 + 1/3
5, 3: 15
= 9/15 + 5/15
= 9 + 5/15
= 14/15
can you please help with geometry? to solve for x.
Answer:
Solve for x means find the value of x that would make the equation you see true. Think about this equation: x + 1 = 3. If you were asked to solve it, that would mean finding some value for x that gives you three when you add one to it. ... That's what solving an equation is all about!
Step-by-step explanation:
you have 5 blue marbles 7 green marbles 3 yellow marbles and 5 red marbles what are the chances of drawing a blue marble
Answer:
1/4 chance
Step-by-step explanation:
Total marbles: 20
Total Blue marbles: 5
Ratio is 5:20
Simplified ratio is 1/4
If the sum of four consecutive numbers is 942, what is the last one?
Answer:
237
Step-by-step explanation:
