Answer:
5
Step-by-step explanation:
During the assembly of a certain piece of exercise equipment, 3 welds are required during different phases of the assembly process. It is assumed that the welds are performed independently of one another. Due to variation in the materials used and in technique, only 97% of all welds are performed satisfactorily, with the remaining 3% being classified as defective. What percentage of all pieces of this type of equipment will have at least one defective weld
Answer:
99.9973 %
Step-by-step explanation:
This is a binomial probability distribution.
Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.
Since there are 3 welds and we require at least one being defective, our binomial probability is
P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × 0.000027 × 1 = 1 - 0.000027 = 0.999973 × 100% = 99.9973%
What’s the answer? Please help me!
Answer:
x = 4
y = 4√3
tan 60° = 1.7321
Step-by-step explanation:
sin 30 = 4/8
0.5 = x/8
x = 4
y² = 8² - 4² = 64 - 16 = 48
y = √48 = 4√3
tan 60° = (4√3)/4 = √3 = 1.7321
A shop is selling notebooks for £1.50 each. They have a buy one get one free offer on. How many notebooks can be brought for £22?
Answer:
28
Step-by-step explanation:
22÷1.50=14.6
=14
14×2=28
What is the volume of the cone below?
O A. 1087 units 3
B. 144r units3
4
O c. 432rr units 3
O D. 216r units 3
answer d
Step-by-step explanation:
because I learned this
Answer: 144 pi units^3
Step-by-step explanation:
Find the area of the trapezoid
In a sewage treatment plant, a large concrete tank initially contains 440,000 liters of liquid and 10,000 kg of fine suspended solids. To flush this material out of the tank, water is pumped into the vessel at a rate of 40,000 l/h. Liquid containing solids leaves at the same rate. Estimate the concentration of suspended solids in the tank at the end of 4 h. You can assume that the initial concentration of solids in the tank
Answer:
[tex]Concentration = 8.26kg/m^3[/tex]
Step-by-step explanation:
Given
[tex]V = 440000L[/tex] --- volume of tank
[tex]m = 10,000 kg[/tex] --- solid mass
[tex]r = 40000L/hr[/tex] --- outflow rate
Required
Determine the concentration at the end of 4 hours
First, calculate the amount of liquid that has been replaced at the end of the 4 hours.
[tex]Amount = r * Time[/tex]
[tex]Amount = 40000L/hr * 4hr[/tex]
[tex]Amount = 40000L * 4[/tex]
[tex]Amount = 160000L[/tex]
This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced
Calculate the ratio of the liquid replaced.
[tex]Ratio = \frac{Amount}{Volume}[/tex]
[tex]Ratio = \frac{160000L}{440000L}[/tex]
[tex]Ratio = \frac{16}{44}[/tex]
[tex]Ratio = \frac{4}{11}[/tex]
Next, calculate the amount of solid left.
[tex]Amount (Solid)= Ratio * m[/tex]
[tex]Amount (Solid)= \frac{4}{11} * 10000kg[/tex]
[tex]Amount (Solid)= \frac{40000}{11}kg[/tex]
[tex]Amount (Solid)= 3636kg[/tex]
Lastly, the concentration is calculated as:
[tex]Concentration = \frac{Amount (Solid)}{Volume}[/tex]
[tex]Concentration = \frac{3636kg}{440000L}[/tex]
Convert L to cubic meters
[tex]Concentration = \frac{3636kg}{440000* 0.001m^3}[/tex]
[tex]Concentration = \frac{3636kg}{440m^3}[/tex]
[tex]Concentration = 8.26kg/m^3[/tex]
Julieta mastered 17 of of the last 20 exit tickets on the first try what percent of the exit tickets did she Master on the first try?
Answer:
Julieta mastered 85% of the exit tickets on the first try.
Step-by-step explanation:
Julieta mastered 17 of 20 total exit tickets
17 ÷ 20 = 0.85
0.85 = 85%
PLZ HELP ASAP I WILL MARK BRANLIEST!!!
Answer:
Top left
Step-by-step explanation:
It’s the only one with a data point very far from the rest
Answer:
its diff for all of is but it deff right
Step-by-step explanation:
k12 right
quería saber el problema este q no me se la respuesta
Find the following trigonometric Fourier Series:
(a) Extend the definition of f(x) to make it an even function f*(x),
[tex]f^*(x)=\begin{cases}0&\text{if }-2\le x<-1\\1&\text{if }0\le x\le1\\0&\text{if }1<x\le2\end{cases}[/tex]
and we take f* to be periodic over an interval of length P = 4. We compute the coefficients of the cosine series:
[tex]a_n = \displaystyle\frac2P \int_{-2}^2 f^*(x)\cos\left(\frac{2n\pi}Px\right)\,\mathrm dx = \frac{2\sin\left(\frac{n\pi}2\right)}{n\pi}[/tex]
Note that a₀ = 1 (you can compute the integral again without the cosine, or just take the limit as n -> 0). For all other even integers n, the numerator vanishes, so we split off the odd case for n = 2k - 1 :
[tex]a_{2k-1} = \dfrac{2\sin\left(\frac{(2k-1)\pi}2\right)}{(2k-1)\pi}[/tex]
Then the cosine series of f(x) is
[tex]\displaystyle \frac{a_0}2 + \sum_{k=1}^\infty a_{2k-1}\cos\left(\frac{(2k-1)\pi}2x\right)[/tex]
(b) For the sine series, you instead extend f(x) to an odd function f*(x),
[tex]f^*(x)=\begin{cases}-1&\text{if }-2\le x\le-1\\x&\text{if }-1<x<1\\1&\text{if }1\le x\le2\end{cases}[/tex]
Again, P = 4, and the coefficient of the sine series are given by
[tex]b_n = \displaystyle\frac2P\int_{-2}^2f^*(x)\sin\left(\frac{2n\pi}Px\right)\,\mathrm dx[/tex]
which we can again split into the even/odd cases,
[tex]b_{2k} = -\dfrac1{k\pi}[/tex]
[tex]b_{2k-1} = \dfrac{4(-1)^{k+1}+2(2k-1)\pi}{(2k-1)^2\pi^2}[/tex]
So the sine series is
[tex]\displaystyle \sum_{k=1}^\infty\left(b_{2k}\sin\left(k\pi x\right) + b_{2k-1}\sin\left(\frac{(2k-1)\pi}2x\right)\right)[/tex]
I've attached plots of the extended versions of f(x) along with the corresponding series up to degree 4.
What is 5% as a fraction?
Answer:
The answer would be 5/100 or 1/20 in it's simplest form
Step-by-step explanation:
So let's say you have only 5% of a pie and the rest of your family gets the rest, if you put that in a form of a fraction, the answer would be 5 over 100 (5/100). But if you simplify, the answer would be 1/20 since 5 goes into 5 once and 20 goes into 100 5 times.
Ignore the messy writing, i was in a hurry.
Plot the following data points.
1
4
,
3
4
, 1 , 1
3
4
, 1
3
4
, 2
1
2
, 3
1
4
Answer:
I dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KID
Step-by-step explanation:
I dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KIDI dont know That KID
differentiate with respect to x:y= sinh^-1(x^2+1)
Answer:
The first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] is [tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex].
Step-by-step explanation:
We proceed to find the first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] by explicit differentiation and rule of chain:
[tex]y = \sinh^{-1} (x^{2}+1)[/tex]
[tex]y' = \frac{2\cdot x}{\sqrt{(x^{2}+1)^{2}+1}}[/tex]
[tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex]
The first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] is [tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex].
Gabrielle is 9 years younger than Mikhail. The sum of their ages is 75 . What is Mikhail's age?
Answer: We know Gabrielle is 9 yrs younger than Mikhail hence it will be x-9 yrs. Sum of their ages is 87. Mikhail's age is 48 yrs.
HOPE THIS HELPS
5. Jerald is investigating the typical depreciation rate for the used automobile he intends to purchase next month. He has collected the following data about an automobile purchased in 1999 for 12,500. a. Using Jerald’s data, find the best-fit exponential equation for this deprecation using the substitution method. Must show work. b. Using the same data, get an equation using the calculator's regression feature. Then estimate the depreciated value of the automobile in 2010:
An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.
The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379
I've added the missing data as an attachment.
An exponential equation is represented as:
[tex]y = ab^x[/tex]
Where:
[tex]a \to[/tex] the first term
[tex]b \to[/tex] rate
[tex]x \to[/tex] years after 1999
[tex]y \to[/tex] depreciated value
When [tex]x = 0\ \&\ y=12500[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]12500 = ab^0[/tex]
[tex]12500 = a*1[/tex]
[tex]12500 = a[/tex]
[tex]a =12500[/tex]
When [tex]x = 1\, \&\ y = 10750[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]10750 = ab^1[/tex]
[tex]10750 = ab[/tex]
Substitute [tex]a =12500[/tex]
[tex]10750 = 12500 \times b[/tex]
Solve for b
[tex]b =\frac{10750 }{12500}[/tex]
[tex]b =0.86[/tex]
So, the equation is:
[tex]y = ab^x[/tex]
[tex]y = 12500(0.86)^x[/tex]
To calculate the depreciated value in 2010, we first solve for x in 2010
[tex]x = 2010 - 1999[/tex]
[tex]x = 11[/tex]
So, the depreciated value (y) is:
[tex]y = 12500(0.86)^x[/tex]
[tex]y = 12500 \times 0.86^{11}[/tex]
[tex]y = 2379[/tex]
Read more about exponential equation at:
https://brainly.com/question/17161065
For the function graphed above the end behavior is:
Answer:
as w → -∞, q(w)→-∞
as w → ∞, q(w)→∞
Step-by-step explanation:
The behaviour tells us how changes y as x changes.
In the left side (as w decreases) we can see that y goes down, then we can see that as w goes to negative infinity, q(w) also goes to negative infinity.
Then we can write:
as w → -∞, q(w)→-∞
In the right side (so when w increases) we can see that q(w) increases, then with the same reasoning as above we have:
as w → ∞, q(w)→∞
Notice that in both cases we only care for the end behavior, and these changes in curvature do not really matter for this kind of analysis.
Question 17 of 25
A density graph for all the possible speeds between 0 mph and 320 mph is in
the shape of a triangle. What is the height of the triangle?
A. 0.025
B. 0.003125
C. 0.00625
D. 0.0125
SUBMIT
A farmer, Mrs. Many, grows and sells two popular varieties of tomatoes: Better Boy tomatoes and Big Beef tomatoes. Both varieties of tomato take about 75 days to mature. She is designing a study to test the effectiveness of a new soil additive to increase tomato growth. She has 40 Better Boy tomatoes and 60 Big Beef tomatoes for her experiment.
Required:
a. Preliminary research suggests that Better Boy tomatoes and Big Beef tomatoes respond differently to the additive. What sort of experimental design would you choose for this study, and why?
b. Explain why an experiment involving 40 Better Boy tomatoes and 60 Big Beef tomatoes is preferable to one involving 4 Better Boy tomatoes and 6 Big Beef tomatoes.
c. Describe a design for this experiment. Be sure to include a description of how you assign individuals to the treatment groups.
Answer:
I believe the answer is B tell me if I'm correct please
A ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir
Please help me with this ASAP Don’t ANSWER With links please ****
Given:
Radius of the cone = 6
Slant height of the cone = 10
To find:
The lateral area, surface area and volume of the cone.
Solution:
Let h be the height of the cone. By Pythagoras theorem, we get
[tex]10^2=(6)^2+h^2[/tex]
[tex]100=36+h^2[/tex]
[tex]100-36=h^2[/tex]
[tex]64=h^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{64}=h[/tex]
[tex]8=h[/tex]
The lateral area of a cone is:
[tex]A_L=\pi rl[/tex]
[tex]A_L=\pi (6)(8)[/tex]
[tex]A_L=48\pi[/tex]
The surface area of a cone is:
[tex]A_S=\pi rl+\pi r^2[/tex]
[tex]A_S=\pi (6)(8)+\pi (6)^2[/tex]
[tex]A_S=48\pi +36\pi[/tex]
[tex]A_S=84\pi[/tex]
Volume of cone is:
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
[tex]V=\dfrac{1}{3}\pi (6)^2(8)[/tex]
[tex]V=\dfrac{288}{3}\pi [/tex]
[tex]V=96\pi [/tex]
Therefore, the lateral area of a cone is [tex]48\pi[/tex] sq. units, the surface area of a cone is [tex]84\pi[/tex] sq. units and the volume of the cone is [tex]96\pi[/tex] cubic units.
If a rectangular garden has a length of 4 and a width of x-2,
what is the area of the rectangular garden?
Answer:
4x-2
Step-by-step explanation:
Area=Length × width or Length(width)
= 4(x-2)
=4x-2
Find the mean of the data in the bar chart below. money in each persons piggy bank
Answer:
The chart is showing how much many is in each persons piggy bank.
Step-by-step explanation:
Just a heads up , The title at the top of the graph gives off all the answers as to what the graph is showing.
Answer: 10.5
Step-by-step explanation:
C a l c u l a t o r
also I tried it myself so thats even more proof :D
Evaluate f(x)=−5ex+4+3 for x=−6.
Answer:
f(-6) = 30e+7 or 88.55
Step-by-step explanation:
First you want to plug in the -6 into the function getting you:
-5e(-6)+4+3
You can multiply the -5*-6=30
Then add 4+3 giving you 7
So the final answer is 30e+7
3 1/4+3/8equals to what?
Answer:
6 5/8
Step-by-step explanation:
Answer:
it equals 29/8 you can also write it as 3 5/8
Step-by-step explanation:
first you would convert the mixed fraction to 13/4 then add te two fractions. i hope this helps
I'm. not the best at finding angles sadly
Answer:
obtuse it is more than 90 so not a right and a straight angles is 180 degrees so it obtuse
What is the surface area of the triangular prism
Answer:
[tex]surface \: a = 9 \times 5 \\ = 45ft \times 2 \\ = {90}^{2} ft\\ surface \: b = \frac{1}{2} bh \\ = \frac{1}{2 } \times 6 \times 4 \\ = 3 \times 4 \\ = 12 \times 2 \\ = {144}^{2} ft \\ = 90 + 144 \\ = {234}^{2} ft[/tex]
During a certain epidemic, the number of people that are
infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?
9514 1404 393
Answer:
1367 people
Step-by-step explanation:
The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...
i(t) = 1000(1.2^(t/7))
After 12 days, the number infected is modeled as ...
i(12) = 1000(1.2^(12/7)) ≈ 1367
About 1367 people are infected 12 days after discovery.
5. What is closest to the volume of the
sphere?
Answer:
The correct answer is D)
Step-by-step explanation:
To find the volume of a sphere, you need to use the formula [tex]\frac{4}{3}\pi r^3[/tex]. Since the radius of the sphere is 7.5 inches, you can use that to solve the volume. [tex]\frac{4}{3}\pi *7.5^3[/tex] = [tex]\frac{4}{3}\pi *421.875[/tex] = [tex]562.5*\pi[/tex] ≈ [tex]1767.15in^3[/tex], which is closest to [tex]1767.21in^3[/tex], so that is the correct answer.
Which of the following is NOT true of the confidence level of a confidence interval? Choose the correct answer below. A. The confidence level is also called the degree of confidence. B. There is a 1-a chance, where a is the complement of the confidence level, that the true value of p will fall in the confidence interval produced from our sample. C. The confidence level gives us the success rate of the procedure used to construct the confidence interval. D. The confidence level is often expressed as the probability or area 1-a, where a is the complement of the confidence level.
Answer:
There is a 1-a chance, where a is the complement of the confidence level, that the true value of p will fall in the confidence interval produced from our sample. ( B )
Step-by-step explanation:
Confidence level depicts the probability that the confidence interval actually contains the values of p ( true values of P ) hence
There is a 1-a chance, where a is the complement of the confidence level, that the true value of p will fall in the confidence interval produced from our sample Is a complete misinterpretation of the confidence interval therefore it is NOT true
On a map with a scale of 1:75000 the distance between a hotel and the airport is 5cm. What is the actual distance in km?