Where does the graph of cosine begin?
9514 1404 393
Answer:
wherever you want it to
Step-by-step explanation:
The cosine function is defined for all real numbers. A graph of it can exist on any interval from -∞ to +∞. Since you make the graph, and it is impossible for you to graph x = -∞, the left side of the graph (where it "begins") will be the point you decide to use to start graphing.
A company that manufactures tires produces a tire that has average life span of 65,000 kilometers with a standard deviation of 5,200 kilometers. The distribution of the life spans of the tire is normal. What percent of the tires last at least 60,000 kilometers ?
Answer:
=> P(X <= 62500) = P((X-mean)/sd < (62500-65000)/3000)
= P(Z < -0.8333)
= 1 - P(Z < 0.8333)
= 1 - 0.7967
= 0.2033
=> P(X > 68500) = P(Z > (68500-65000)/3000)
= P(Z > 1.1667)
= 0.1210
=> P(60500 < X < 69500) = P((60500-65000)/3000 < Z < (69500-65000)/3000 )
= P(-1.5 < Z < 1.5)
= 0.8664
=> for P(X < x) = 0.03, for Z = -1.88
X = mean + Z*Sd = 65000 - (1.88*3000) = 59360
Step-by-step explanation:
I'm not sure if that correct , I really try my best to help
The required percent of tires last at least 60,000 kilometers is about 91%.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation,
To solve this problem, we need to use the standard normal distribution. This is a special type of normal distribution where the mean is 0 and the standard deviation is 1. We can use this to standardize the tire life spans by subtracting the mean (65,000 km) and dividing by the standard deviation (5,200 km).
This gives us a standard normal distribution with a mean of 0 and a standard deviation of 1, and we can use a table or calculator to find the probability of a tire lasting at least 60,000 kilometers.
To do this, we need to find the probability that a tire lasts less than 60,000 kilometers and subtract this from 1. This probability is:
P(tire life < 60,000 km) = P(z < (60,000 - 65,000) / 5,200)
Where z is the standardized tire life span, and the probability is calculated using the standard normal distribution.
Calculating this, we find that P(tire life < 60,000 km) = P(z < -1.346) = 0.0913
Therefore, the probability that a tire lasts at least 60,000 kilometers is 1 - 0.0913 = 0.9087 or about 91%.
Learn more about the standard deviation here:
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Please help!! I’ll give you brainliest!!
I can even Venmo someone like 5$ if they wanna do it
Answer:
1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges
Step-by-step explanation:
In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius
The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]
1) The radius is r = 4 which is greater than one so it Diverges.
2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.
3) The radius is 0.5 which is less than 1 so it Converges.
4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.
5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.
The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.
6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.
7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.
to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]
8) plug in given information
[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]
9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.
Hopefully the work I did was right. Have a good one!
Given that n is an integer and 0 < 4n <30, what is the sum of all possible integer values of n
n can be all the way upto 7 as 8 x4 = 32 which is higher than 30. The lowest possible diggit is 1.
n = 1, 2, 3, 4, 5, 6, 7
1 + 2 + 3 + 4 + 5 + 6 + 7 = 28
⭐ Answered by Foxzy0⭐
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⭐ If you have questions, leave a comment, I'm happy to help! ⭐
Mason says that a point with the coordinates (4, 4) lies on a circle centered at the origin with a radius of 4 units. Is Mason correct? Explain why or why not.
yes, he is right all distance is the same from the origin point to any side of the circle same as radius which is half a line starts at any side of the circle and ends at the origin point.
Mason is correct.
The point with the coordinates (4, 4) lies on the circle centered at the origin with a radius of 4 units.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
A circle centered at the origin with a radius of 4 units can be represented by the equation:
x² + y² = r²
Substituting the coordinates of the point (4, 4), we have:
4² + 4² = r²
16 + 16 = r²
32 = r²
Taking the square root of both sides, we get:
r = 4√2
Therefore,
The circle centered at the origin with a radius of 4 units has an equation of x^2 + y^2 = 32.
Point (4, 4) satisfies this equation since:
4² + 4² = 32
16 + 16 = 32
32 = 32
Thus,
The point with the coordinates (4, 4) lies on the circle centered at the origin with a radius of 4 units.
Learn more about circle here:
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Solve the Following inequality by choosing the Possible range of Values that make the Statement True
x + 3 ≥ 13
Answer:
x has to be greater than or equal to 10 (x ≥ 10)
Step-by-step explanation:
x + 3 ≥ 13
x ≥ 13 - 3
x ≥ 10
Having Problems With This Question
Answer:
f+g(2)=10
f-g(4)=-4
F/G(2)= 7/3
(f)(g)(1)=0
Step-by-step explanation:
1. (f+g)=2x+3+x^2-1 2(2)+2=10
2. (f-g)=(2x+3)-(x^2-1)=-x^2+2x+4= -16+8+4=-4
3. f/g= 2x+3/x^2-1 4+3/3= 7/3
4. f*g= (2x+3)(x^2-1)= 2x^3+3x^2-2x-3= 2(1)^3-2(1)+3(1)^2-3=0
Trace this composite figure.
2 cm
2 cm
4 cm
h
5 cm
3 cm
6 cm
Answer:
The answer is 6cm
Step-by-step explanation:
2cm(the one on top) and 4cm are directly opposite the unknown side which is the same when being cut horizontally so therefore the unknown side is equal to 2cm+4cm which is = 6cm
Please find the answer
Answer:
it's 6.2
Step-by-step explanation:
6.2 is the only number that shows up more than once.
i need help please help!!!!!!!!!!!! i will give extra points
Answer:
90 cubic units
Step-by-step explanation:
6x3x5=90
Evaluate the expression. Show work.
2w + 2l when w= 4 and l=6
Answer:20
Step-by-step explanation:
2(4)+2(6)
8+12=20
Answer: 20
Step-by-step explanation:
Plug in 4 for w and 6 for I.
2(4) + 2(6) = 8 + 12 = 20
I NEED HELP WITH A PROBLEM
Answer:
64
Step-by-step explanation:
Volume of one sugar cube = 1x1x1= 1cm³
Volume of dish = 4x4x4 = 64cm³
Divide volume of dish by volume of one cube to find out how many can fit:
64/1 = 64
two hikers walk on the trans-canada trail for 5.0 h and cover 42km what is there average speed for the trip
Answer:
about 8 km per hour
Step-by-step explanation:
8 kilometers every hour for 5 hours is 40 km wich is very close to 42km. hope this helps
Find the length of “c” to the nearest tenth using the Pythagorean Theorem.
NO BOTS
Answer:
10.6
Step-by-step explanation:
you do 7 squared + 8 squared to get 113. the square root of 113 rounded to the nearest tent is 10.6
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The ages of a group of randomly selected adult females have a standard deviation of years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want % confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population?
Answer:
?
Step-by-step explanation:
Please help answer !:)
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Have a nice day
Answer:
10, exponents, 10, expression
Step-by-step explanation:
Use the Quadratic Formula to solve the equation x^2-15=2x
Answer:
x= -3
y= 5
Explanation:
Move the 2x to the left by subtracting it by itself
you should get x^2 -15 - 2x =0
That's it in standard form
A hotel room costs $435.92 for 4 nights. At the same rate, how much would it cost to rent the hotel room for 7 nights?
Answer:
basBdiqdia
Step-by-step explanation:
Answer:
$762.86
Step-by-step explanation:
$435.92/4 = $108.98
$108.98 · 7 = $762.86
606 divided by 49 in long division
Answer:
12 <----
Step-by-step explanation:
the remainder is 18 but the answer is 12 and the full thing would be
------> 6.18367346939
Amanda had five and 6700 pounds of peanuts in her pantry how is this number written in expanded notation
Answer: 6000+700+00+0
I hope that helps you
adjacent leg - hypotenuse = 0.139
a. 14°
opposite leg - adjacent leg = 0.249
b. 28°
opposite leg - hypotenuse = 0.469
C. 47°
adjacent leg - hypotenuse = 0.682
d 58°
opposite leg - hypotenuse 0.848
e. 82°
Answer:
i. 82°
ii. 14°
iii. 28°
iv. 47°
v. 58°
Step-by-step explanation:
The trigonometric functions are given as:
Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Thus,
i. adjacent leg / hypotenuse = 0.139 = Cos θ
θ = [tex]Cos^{-1}[/tex] 0.139
= 82°
ii. opposite leg / adjacent leg = 0.249 = Tan θ
θ = [tex]Tan^{-1}[/tex] 0.249
= 14°
iii. opposite leg / hypotenuse = 0.469 = Sin θ
θ = [tex]Sin^{-1}[/tex] 0.469
= 28°
iv. adjacent leg / hypotenuse = 0.682 = Cos θ
θ = [tex]Cos^{-1}[/tex] 0.682
= 47°
v. opposite leg / hypotenuse 0.848 = Sin θ
θ = [tex]Sin^{-1}[/tex] 0.848
= 58°
Kristen owns a bakery and is making a cake for a wedding. The dimensions of the cake are shown below. Answer each of the questions below.
What is the frosted area of the top cake? (Round to the nearest tenth)
What is the frosted area of the bottom cake? (Round to the nearest tenth)
What is the total surface area of cake that will be frosted?
Answer:
$22.5.
Step-by-step explanation:
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
y = (25 - x)(100 + 5x)
Simplifying,
y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
dy/dx = 0 = 25 - 10x
When graphing a system of equations with infinitely many solutions, the slopes of the two lines will be ________.
Which is greater 3/5 or 7/10
Answer:
7/10
Step-by-step explanation:
Use the butterfly method:
3/5 7/10
multiply the denominator and numerator to each other sides:
3 * 10 = 30
5 * 7 = 35
35 > 30
35 belongs to 7/10 so:
7/10 is greater
Connie bought 172 tulip bulbs. She wants to plant an equal number of bulbs in each of 4 flower beds. How many bulbs should Connie plant in each flower bed?
Answer:
43
Step-by-step explanation:
The answer should be 43 because if you divide 172 by 4 it gives you 43 so that gives you the answer 172 ÷ 4 = 43.
How does the stimulus check impact society please help me please i really need help please
Answer:
The stimulus check impacts society because it helps people or rather encourages people to invest. Not only individuals but also businesses. It also shows how the stimulus check gives more than peoples incomes. Not everyone can get the stimulus check, only tax payers who pay taxes every year and have a public job. This impacts society because not everyone can get the stimulus check, and some people receive lots of money and other people might get just a little. At the end of the day, it all depends on how much taxes you are paying each year and which job you have.
Hope this helps! :)
what are the variables 8 x + 7 - y
plzz I'll give BRAINLIEST
Answer:
x and y
Step-by-step explanation:
Those are variables that could be any number. The integers are considered to be coefficients.
Samiya had 45 grams of cookies to share with the class how many kilograms of cookies does she have
Answer:
0.045 kg of cookies
Answer: 0.045
Step-by-step explanation:
Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree. Step 2 of 2 : Consider that 139 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree? Enter a fraction or round your answer to 4 decimal places, if necessary. Answer
Answer:
[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has a graduate degree.
Event B: Has over 10 years of experience.
Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree.
This means that:
[tex]P(A) = \frac{159}{469}[/tex]
[tex]P(A \cap B) = \frac{116}{469}[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{116}{469}}{\frac{159}{469}} = \frac{116}{159} = 0.7296[/tex]
[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.
Ebru is an entrepreneur. She plans to start 2 different very small businesses in the next year. Both businesses are independent of each other, and each business has a 50%, percent chance of being successful and a 50%, percent chance of failing.
Each business will make Ebru $200 if it succeeds or lose her $200 if it fails.
if X is a random variable that represents Ebru's profit from starting these 2 businesses, draw a graph to show the probability distribution for all possible values of X.
Answer:
Step-by-step explanation: