Answer:
12.33
Step-by-step explanation:
let 'n' = a number
2n + 7 = 5(n - 6)
2n + 7 = 5n - 30
-3n = -37
n = 37/3 or 12.33
The variable is 12 for the given expression.
What is variable?The quantity that may change within the context of mathematical problem or experiment is called variable.
We have,
Sum of two times a number and 7 = five times the difference of a number and 6
Let us assume the variable as 'n'
According to the question, we have
[tex]2n+7=5(n-6)[/tex]
⇒[tex]2n+7=5n-30[/tex]
⇒[tex]-5n+2n=-30-7[/tex]
⇒[tex]-3n=-37[/tex]
⇒[tex]n=\frac{-37}{-3}[/tex]
⇒[tex]n=\frac{37}{3}[/tex]
⇒[tex]n=12.333[/tex]
⇒[tex]n=12[/tex] (round off to nearest hundred)
∴ Variable(Number) = 12
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Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
A researcher for a polling organization used a random sample of 1,540 residents in a city to construct a 95 percent confidence interval for the proportion of voters who would vote for candidate Jones. The resulting confidence interval was 0.480 ± 0.025. What is the correct interpretation of the confidence interval?
A proportion of 0.455 and 0.505 of respondents think that Jones has a 95% chance to win.
If 95% of all the voters voted, then Jones would receive between 45.5% and 50.5% of the votes.
The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.
If we repeatedly sampled voters from this city, taking samples of size 1,540, approximately 95% of those samples would have between 45.5% and 50.5% voting for Jones.
Answer:
The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.
Step-by-step explanation:
took the quiz
The polling organization can be 95% confident that the interval from 0.455 to 0.505 captures the proportion of all city voters who would vote for Jones.
What is confidence interval?A confidence interval is a set of values used to estimate an unknown population parameter with a high degree of certainty. It is calculated from a sample of data and takes into account the sample's variability.
The polling organisation is 95% confident that the range of 0.455 to 0.505 accurately represents the proportion of all city voters who would vote for Jones.
This means that if the researcher repeated the sampling process a number of times and created a confidence interval for each sample, 95% of those intervals would contain the true proportion of all city voters who would vote for Jones.
Thus, it does not imply that the true proportion is 95% likely to fall within the interval.
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Use the figure below to find the value of x show all work
Answer:
Step-by-step explanation:
Add 53 and 35 because 53 and x are alt exterior angles. That means that they are equal/ congruent. You can translate the angle where the 35 is down to x because they are equal.
So:
53+35= 88 degrees
x=88
Each cube in this figure is a -millimeter cube. What is the total volume of the prism?
2 mm 3
6 mm 3
4 mm 3
9 mm 3
Answer:
D. 9 mm³Step-by-step explanation:
Given
Dimension of the prism: 3x4x6Side of each small cube: 1/2 mmVolume of the prism in terms of the number of small cubes:
3*4*6 = 72Volume of each unit cube:
V = (1/2)³ = 1/8 mm³Volume of the prism:
72*1/8 = 9 mm³Correct choice is D
Answer:
D. 9 mm³
Step-by-step explanation:
Dimension of the prism
= 3 * 4* 6
side of each small cube
= 1/2 mm
In terms of number of small cubes , volume of the prism = 3 *4 * 6= 72
Volume of each unit of cube
= (1/2)³
= 1/ 8 mm³
Volume of the prism
= 72 * 1/8
= 9 mm³
36% of 112= what because I’m so confused
Answer:
40.32
Step-by-step explanation:
112 ÷ 100 = 1.12
1.12 × 36 = 4.032
A bicycle path starts 5 miles due east of an intersection, and continues in a straight line to finish 8 miles due north of the same intersection. Let the intersection be represented by the point (0, 0). Suppose a cyclist rides the path from start to finish in 2 hours. Which parametric equations model the path of the rider?
The parametric equations that models the path of the rider are:
x(t) = -5/2t + 5 and y (t)= 4tx(t) = -5/2t + 5 and y(t) = 4t + 8What is a Parametric Equation?This refers to the type of equation that makes use of a parameter to define dependent variables.
Hence, we can see that to model the path of the rider, the parametric equation that can be best used is to model the direction of the bicycle which is moving 5 miles east and then continues 8 miles north, and the fact that they started at rest 0 and the equations to make the model are:
x(t) = -5/2t + 5 and y (t)= 4tx(t) = -5/2t + 5 and y(t) = 4t + 8
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please help me!!!! precalc question
Step-by-step explanation:
1. Ampltiude is 1
The period is
[tex] \frac{2\pi}{3} [/tex]
is the period
The phase shift is 0
2. The Ampltiude is 2
The period is 2 pi
The phase shift is 1
3. The amplitude is 3
The period is 2 pi/3
The phase shift is -2
4.The amplitude is 2/3
The period is -10pi
The phase shift is 0
5. The Ampltiude is 1
The period is -2 pi
The phase shift is pi
6. The amplitude is 1/4
The period is -4pi
The phase shift is negative 2pi/3
7. The Ampltiude is 3
The period is 4
The phase shift is 8
Mental health in America. In the Mental Health Surveillance Study, clinicians interviewed a very large random sample of American adults so as to diagnose the presence of mental disorders in the prior 12 months. There are many types of mental disorders, and a person can suffer from more than one. Let X represent the number of mental disorders a person has experienced in the past year. Based on this study, we can assign the following probability distribution to X in the American adult population:
X 0 1 2 3 4 or more
P(X) 0.775 0.149 0.041 0.022 0.013
(a) Explain why this is a valid probability distribution. Is the sample space discrete orcontinuous?
(b) Find P(X <2) and P(1≤X≤3).
(c) Obtain the probability that a randomly selected American adult suffers from
(i) at least one mental disorder
(ii) either one or two mental disorders
Answer:
a) It is a valid distribution because the sum of all possible probabilities is 1. The sample space is discrete, because the number of diseases is a countable number.
b) P(X <2) = 0.924, P(1≤X≤3) = 0.212
c - i) 0.225
c - ii) 0.19
Step-by-step explanation:
(a) Explain why this is a valid probability distribution. Is the sample space discrete or continuous?
0.775 + 0.149 + 0.041 + 0.022 + 0.013 = 1
Since the sum of all possible probabilities is 1, this is a valid probability distribution.
Since the possible outcomes are 0, 1, 2, 3 or 4 diseases, that is, countable numbers, the sample space is discrete.
(b) Find P(X <2) and P(1≤X≤3).
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.775 + 0.149 = 0.924[/tex]
[tex]P(1 \geq X \geq 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.149 + 0.041 + 0.022 = 0.212[/tex]
(c) Obtain the probability that a randomly selected American adult suffers from
(i) at least one mental disorder
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.775 = 0.225[/tex]
(ii) either one or two mental disorders
[tex]P(X = 1) + P(X = 2) = 0.149 + 0.041 = 0.19[/tex]
Express each of the following in km/h.
(a) 8.4 km/min (b) 315 m/s
(c) 242 m/min (d) 125 cm/s
Answer:
Step-by-step explanation:
A simple random sample of 85 students is taken from a large university on the West Coast to estimate the proportion of students whose parents bought a car for them when they left for college. When interviewed, 51 students in the sample responded that their parents bought them a car. What is a 95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college
Answer:
95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college
(0.4958 , 0.7041)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 85
The sample proportion
[tex]p = \frac{x}{n} = \frac{51}{85} = 0.6[/tex]
95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college
[tex](p^{-} -Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.05} \sqrt{\frac{p(1-p)}{n} })[/tex]
Step(ii):-
Given that the level of significance
α = 0.05
Z₀.₀₅ = 1.96
[tex](0.6 -1.96 \sqrt{\frac{06(1-06)}{85} } , 0.6 +1.96 \sqrt{\frac{0.6(1-0.6)}{85} })[/tex]
(0.6 - 0.104138 , 0.6 +0.104138)
(0.4958 , 0.7041)
Final answer:-
95% confidence interval for p, the population proportion of students whose parents bought a car for them when they left for college
(0.4958 , 0.7041)
Which of the b values satisfy the following inequality?
5 < b - 3
choose all answers that apply
A: b=8
B: b=9
C: b=10
Answer:
b and c
Step-by-step explanation:
so to answer this one we just plug in all of the answer choices to see which ones satisfy the inequality
for a we plug in b and get 5<8-3 or 5<5 which is not true so it cant be a
next we plug in 9, 5<9-3 or 5<6 so b is a correct answer
next we plug in 10, 5<10-3 or 5<7 which is correct so c is also a correct answer
hope this helps (:
please help me asap!!!
Answer:
6
Step-by-step explanation:
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
X=151
Step-by-step explanation:
1. 61+90= 151
-Combine the two given angles
2.180-151= 29
-Subtract the total of the two combined from 180 because all 3 angles of a triangle add up to 180.
-29 is your difference which is also the angle next to X.
3.180-29= 151
-To find angle X you subtract 29 from 180 because angle X and 29 are supplementary angles that add up to 180.
-Therefore X=151
A one-question survey is to be distributed to a random sample of 1500 adults in Ohio. The question asks if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let p-hat denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. What is the probability that p-hat will be more than 50%
Solution :
It is given that :
Total number of adults in the sample of Ohio, n = 1500
Increase in the sale tax = 5% to 6 %
Let [tex]$\hat p$[/tex] = proportion of the adults that supported the increase in the sales tax.
= 40%
= 0.40
Therefore the probability that [tex]$\hat p$[/tex] will be more than 50% will be :
[tex]$P(\hat p > 0.50) = P\left( \frac{\hat p - E(\hat p)}{\sigma_{\hat p}} > \frac{0.50-0.40}{0.0123}\right)$[/tex]
[tex]$=P(z>7.936508)$[/tex]
[tex]$=1-P(Z<7.936508)$[/tex]
= 1 - 1
= 0
32 pages in 4 days = pages per day
Answer:
8 páginas al día para leer
I need help plsssss✨
Answer:
With?
Step-by-step explanation:
-4X – 1 > 1
State all integer Values of x in the interval [-2,5] that satisfy the following inequality
Answer:
Please find attached pdf
Step-by-step explanation:
Three consecutive integers are such that three times the smallest is 18
more than the largest. Find the integers
The value of the three consecutive integers will be 10, 11, and 12.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Three consecutive integers are such that three times the smallest is 18 more than the largest.
Let the three consecutive number be x, x + 1, and x + 2. Then the equation will be
3x = (x + 2) + 18
Simplify the equation, then the value of the variable x will be
3x = x + 2 + 18
2x = 20
x = 20 / 2
x = 10
Then the value of the integers will be
x + 1 = 10 + 1 = 11
x + 2 = 10 + 2 = 12
The value of the three consecutive integers will be 10, 11, and 12.
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An environmental research firm wants to estimate the proportion of cars in Jackson County, Missouri that would be considered SUVs. Using the county's vehicle registration records they randomly select 220 vehicles. From that list they determined that 90 of them were SUVs. The sample proportion is 0.409, and the 95% confidence interval for the proportion of cars in Jackson County that are SUVs is (0.344, 0.474).
Select all of the following which would produce a confidence interval with a larger margin of error.
If you created a 90% confidence interval instead of the 95% confidence interval the margin of error would? Answer 1
If you had a random sample of 98 vehicles instead of 220 the margin of error would? Answer 2
If you created a 99% confidence interval instead of the 95% confidence interval the margin of error would?
Answer
If you had a random sample of 320 vehicles instead of 220 the margin of error would?
Answer:
If you had a random sample of 98 vehicles instead of 220.
If you created a 99% confidence interval instead of the 95% confidence interval.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
This means that a higher confidence level(higher value of z) leads to a larger margin of error, and a larger sample(higher value of n) leads to a lower margin of error.
Select all of the following which would produce a confidence interval with a larger margin of error.
Higher confidence level or smaller sample. So the correct options are:
If you had a random sample of 98 vehicles instead of 220.
If you created a 99% confidence interval instead of the 95% confidence interval.
65 POINTS PLS help
Which sentence best conveys the argument in "The Case for Shelter Animals"?
Animal shelters treat animals in their care poorly.
People should rescue animals from pet stores.
Pet stores sell puppy mill animals that are not well-cared for.
Animals shelter pets become beloved family members.
Answer:
People should rescue animals from pet stores.
Step-by-step explanation:
An argument is a series of propositions that is organized in such a way that the final proposition appears to be a conclusion which is intended to obey the logical concept of the prior propositions that function as the premise. From "The Case for Shelter Animals", the sentence that best conveys the argument tells us that People should rescue animals from pet stores.
Answer:
b
Step-by-step explanation:
I need help plssssss
Which number has the lowest value?
A1/6 x 1/3B1/6 x 1/2C1/7 x 1/3D1/4 x 1/6
Answer:
b
Step-by-step explanation:
a=0.555555556
b=0.083333
c=.4176
simplify 18x8/6/4x
HELP
Answer:
6/x.
Step-by-step explanation:
18x8/6/4x
= 144/6/4x
= 24/4x
= 6/x.
How many times do parallel lines intersect?
A. 0
B. 1
C. 2
D. 3
Please help. Will make brainiest !!
Answer:
A) 0
Step-by-step explanation:
The actual definition of parallel lines are lines that never intersect, so the answer is 0
The number of times parallel lines intersect is (a) 0
How many times do parallel lines intersect?From the question, we have the following parameters that can be used in our computation:
The list of options in relation to parallel lines
By definition of parallel lines, we have
Parallel lines are lines that extend indefinitely on both sides without intersecting
Using the above as a guide, we have the following:
Point of intersection = 0
Hence, parallel lines intersect (a) 0 times
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A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis.
For every 3 kiwis, there are 4
Answer:
83
Step-by-step explanation:
666
Answer:
Bananas
Step-by-step explanation:
a number such that triple it is one sixth of its square
Answer:
x=18
Step-by-step explanation:
i simplified the answer down to x*18=x^2
hope this helps!
please mark me as brainliest. thanks!
[tex]4859 \div 23[/tex]
pls help me asap
Step-by-step explanation:
211 R6
_____
step 1. 23 / 4859
46
25
23
29
23
6. -> R6
step 2. answer: 211 R6 or 211 6/23.
double y, then raise the result to the 10th power
Answer:
2y^10
Step-by-step explanation:
If you are doubling "y" you are multiplying it by 2 so it is 2y
If you are raising 2y to the 10th power it will be 2y^10
Answer:
2y^10 or 2y¹⁰
Step-by-step explanation:
what is equal to 300
Answer:
escribi en español para poder ayudarte
Find the product of 1/2 x 3 1/4 x 1 1/2
Answer:
2.4375
Step-by-step explanation:
Answer: 2.4375
Step-by-step explanation: