Which rational number equals 0 point 3 with bar over 3? Question 2 options: 1) 1 over 5 2) 1 over 3 3) 3 over 10 4) 3 over 5
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Answer:
2) 1/3
Step-by-step explanation:
The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.
[tex]x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=\dfrac{3}{9}\\\\0.\overline{3}=\dfrac{1}{3}[/tex]
_____
Your calculator can help you answer this:
1/5 = 0.2
1/3 = 0.333.... (repeating) . . . . the number you're looking for
3/10 = 0.3
3/5 = 0.6
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Please help answer !:)
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Have a nice day
Answer:
10, exponents, 10, expression
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.
Find the unknown number 3m = 0.27
Answer: 0.09
Step-by-step explanation:
Divide 0.27 by 3
M=.09
You have collected weekly earnings and age data from a sub-sample of 1,744 individualsusing the Current Population Survey in a given year. Given the overall mean of $434.49and a standard deviation of $294.67, construct a 99% confidence interval for averageearnings in the entire population. State the meaning of this interval in words, ratherthan just in numbers. If you constructed a 90% confidence interval instead, would itbe smaller or larger? What is the intuition?
Answer:
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{294.67}{\sqrt{1744}} = 18.17[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 434.49 - 18.17 = $416.42
The upper end of the interval is the sample mean added to M. So it is 434.49 + 18.17 = $452.66
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
If you constructed a 90% confidence interval instead, would it be smaller or larger? What is the intuition?
For a 90% confidence interval, we would have z = 1.645.
Looking at the margin of error formula, M and z are direct proportional, that is, as z decreases so does M. Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
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:
Kristi has 2 ribbons that are the same length. She cuts each ribbon into 8 equal pieces. She uses 12 of the pieces to make bracelets. What fraction of the ribbon did she use?
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.
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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(Quick plz!!)
The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by this set?
[-8,1, 23. 11. 49)
A)
Irrational Numbers
B)
Integers
C
Natural Numbers
D
Rational Numbers
Answer:
the answer is d
Step-by-step explanation:
I just took the test
Where does the graph of cosine begin?
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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.
When graphing a system of equations with infinitely many solutions, the slopes of the two lines will be ________.
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
Gabrielle is 11 years older than Mikhail. The sum of their ages is 107. What is Mikhail's age?
Answer:
Mikhail's age is 48
Step-by-step explanation:
Answer:
107-11=96
96÷2=48
so Mikhail is 48 years old
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!! 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!
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
John buys an item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price that John pays, including tax?
Answer:
$43.20
Step-by-step explanation:
20% of $50.00 is $10.00. $50 - $10 is $40. 8% of $40 is $3.20. Since this is tax, you must add it. $40+$3.20 = $43.20
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
give me brainliest
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
please help me thanks
Answer:
D
Step-by-step explanation:
Answer:
each person gets 2 1/2
Step-by-step explanation:
You divide and get 2 1/2
the answer is D
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.
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
The radius of the cylindrical construction pipe is 2.5ft, if the pipe is 25ft long, what is the volume? Use the value 3.14 for pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. Please helpp.
Answer:
Step-by-step explanation:
radius of the cylindrical construction pipe = 2.5 ft
height of cylinder = 25 ft
volume of cylinder = [tex]\pi r^{2} h[/tex]
= 3.14 x 2.5 x 2.5 x 25
= 490.625
= 490 [tex]ft^{3}[/tex]
Hope this helps
please mark as brainliest!!!
Answer:
490 ft³
Step-by-step explanation:
The radius of the cylindrical construction pipe is 2.5ft, if the pipe is 25ft long, what is the volume? 490 ft³
help pls, math due tonight :(
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Answer:
40 ftt = 1 secondStep-by-step explanation:
A graphing calculator answers these questions easily.
The ball achieves a maximum height of 40 ft, 1 second after it is thrown.
__
The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.
h(t) = -16(t^2 -2t) +24
h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square
h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form
Compare this to the vertex form:
f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'
We see the vertex of our height equation is ...
(h, k) = (1, 40)
The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.
What is -4^2 equal to?
Answer:
-16
Step-by-step explanation:
Negative four to the second power is equal to -4 x -4 which is -16
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
PLEASE HELP I WILL MARK YOU BRAINIEST
Answer:
x greater than or equal to 1/3
Step-by-step explanation:
Answer:
equation is unclear. Send another pic.
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°