The factors of two numbers are given below: Number 1: 1, 3, 5, 7, 15, 21, 35, 105. Number 2: 1, 3, 7, 21, 49, 147. What is the greatest common factor of the numbers
Answers
Answer:
21
Step-by-step explanation:
they both have 21
Related Questions
Of the 64 people who answered "yes" to a question, 6 were male. Of the 70 people that answered "no" to the question, 8 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?
Answers
Answer:
The probability that the person answered "yes" or was male is 0.537
Step-by-step explanation:
The union of events is equivalent to the disjunction "or". Given two events A and B, the union of events, denoted by A∪B, is defined as the event formed by all the elements that are in A or B. That is, the event A∪B is verified when one of the two or both occurs.
Considering two events A and B with probabilities P (A) and P (B), respectively, the probability of their union is given by:
P(A∪B)= P(A) + P(B) - P(A∩B)
In this case:
A: the person answered "yes" B: the person was maleSo, being the probability calculated as the number of favorable cases divided by the total number of possible cases, then in this case it is known that the number of people who answered yes is 64, while the number of people who responded is not 70. Therefore , the total number of people who answered is equal to 64 + 70 = 134. So, the probability of answering yes is:
P(A)=[tex]\frac{64}{134}[/tex]=0.478
On the other hand, you know that out of 64 people who answered yes, the number of being male is 6. And out of 70 people who answered no, the number of being male is 8. So the probability that men answer yes is calculated as:
P (A∩B) =[tex]\frac{6}{134}[/tex]= 0.045
Finally, with the total number of men equal to 6 + 8 = 14, the probability of being male is:
P(B)=[tex]\frac{14}{134}[/tex] = 0.104
Then:
P(A∪B)= P(A) + P(B) - P(A∩B)
P(A∪B)= 0.478 + 0.104 - 0.045
Solving:
P(A∪B)= 0.537
The probability that the person answered "yes" or was male is 0.537
Divide 4 1/2 by the following unit fractions.
a) 1/8
Answers
Answer:
4 1/2 divided by 1/8 = 16
Step-by-step explanation:
Look at the attachment below: Hope it helps!
The solution of expression divided [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex] is, 36
Given that,
Divide [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex].
Now, The expression divide [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex] is written as,
⇒ [tex]4\dfrac{1}{2} \div \dfrac{1}{8}[/tex]
Change the divide symbol into multiplication,
⇒ [tex]4\dfrac{1}{2} \times 8[/tex]
Change the fraction into an improper fraction,
⇒ [tex]\dfrac{9}{2} \times 8[/tex]
⇒ [tex]\dfrac{72}{2}[/tex]
⇒ 36
Therefore, the solution of expression is, 36
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What is the solution of the proportion x−1/2 = x−4/5 ?
Answers
Here is my question
Which statement can be used to classify this triangle as an isosceles triangle?
Angle F is a right angle.
Sides DE and EF are congruent.
Sides FD and DE are congruent.
Sides EF and FD are congruent.
Answers
Answer:
Sides EF and FD are congruent
Step-by-step explanation:
an isosceles triangle has two sides that are congruent and the two sides need to meet at then angle that is different from the other two base angles
Answer:
Sides EF and FD are congruent
A recent study has shown that 10% of computer science concentrators suffer from symptoms of Carpal Tunnel Syndrome. Researchers have developed a diagnostic test for this condition and in a recent trial, the test gave a positive result in 96% of the patients who were known to truly have Carpal Tunnel Syndrome.
a) For an initial version of the diagnostic test, the false positive rate (the percentage of people without Carpal Tunnel who incorrectly test positive) was 44%. If a student received a positive result from this test, what would be the posterior probability that they truly have Carpal Tunnel Syndrome?
b) The researchers believe their test will be practically useful if a positive result implies the student has Carpal Tunnel with at least 75% probability. What is the largest possible false positive rate that would achieve this accuracy target?
Answers
Answer:
1. 0.1951
2. 3.56%
Step-by-step explanation:
Probability of disease = 0.10
Probability of disease and positive = 0.96
1.
Probability of no disease and positive = 0.44
Probability of disease and positive result = 0.10x0.96/0.10x0.96+0.90x0.44
= 0.096/0.096+0.396
= 0.096/0.492
= 0.1951
2.
Probability of disease false positive result
P(disease|positive result)
= (0.10x0.96/0.10x0.96+0.90xP) >= 0.75
= 0.096/0.096+0.90p >= 0.75
We cross multiply
0.096 >= 0.75(0.096+0.90p)
0.096 >= 0.072 + 0.675p
0.096-0.072 >= 0.675p
0.024 >= 0.675p
P <= 0.03555
Therefore the largest possible false positive rate = 0.0356
= 3.56%
What is the solution to x^6 – 6x ^5 + 15x ^4 – 20x ^3 + 15x^ 2 – 6x + 1 ≥ 0? x = 0 x = 1 all real numbers all real numbers except zero
Answers
Answer:
Answer: C all real numbers
Answer: All real numbers
Step-by-step explanation: Edge 2022
If f(x) =(1/7)(7x)what is (3)?
?
Answers
Answer:
f(3) = 3
Step-by-step explanation:
f(x) = (1/7)(7x)
f(3) = (1/7)(7×3)
f(3) = (1/7)(21)
f(3) = 3
A package of 6 pairs of insulated gloves costs $34.14 What is the unit price of the pairs of gloves?
The unit price is $____per pair of gloves.
Answers
PLEASE HELP!!!
DUE IN AN HOUR!!!
Answers
Answer:
Don't cheat u cheater...
factor polynomial 4x^2+4x+1
Answers
Answer:
(2x+1)^2
Step-by-step explanation:
X = 6{2 + 3[2(7 − 3) + (4 + 1) − 3]}
Answers
what's the distance between (2,10) and (-6,6)
Answers
Answer:
4
Step-by-step explanation:
Answer:
sqrt of 80 , or 8.944272 rounded to the nearest tenth would be 8.9
Step-by-step explanation:
use formula:
d= sqrt(x2−x1)^2+(y2−y1)^2
-1,000 -999 < > or = and why
Answers
Answer:
-1,000
Step-by-step explanation:
Answer:
The answer is -1,000 > -999
Step-by-step explanation:
That is because the more further you go away from the zero into the negatives on a number line graph, the bigger the number with a negative sign is, that considered smaller
answer choices are
A:45°
B:180°
C:61°
D:119°
Answers
Answer:
Option c: 61° is the correct answer
Step-by-step explanation:
By the diagram attached with the question, we can conclude that a transversal is interesting two parallel lines which results in formation of 8 angles.
Angle 3 and angle 5 are interior angles on same side of transversal.
When a transversal intersects two parallel lines, the interior angles on same side of transversal are supplementary angles i.e. their sum is 180°
So using this
m∠3+m∠5 = 180°
m∠3 + 119° = 180°
m∠3 = 180°-119°
m∠3 = 61°
Hence,
Option c: 61° is the correct answer
The container that holds the water for the football team is 1/5 full. After pouring in 7 gallons of water, it is 7/10 full. How many gallons can the container hold?
Answers
Let me know if this helped!
The graph represents f(x) = |x| + 3.
what is f(-2, 2)?
A) -2
B) 0
C) 1
D) 2
Answers
Hope this helps! ;))
please someone help me out on this
Answers
Answer:
I think it is C
Step-by-step explanation:
im sorry if i am wrong
Answer:
I think it is supplementary, I may be wrong but I googled supplementary angles and the examples kinda looked like that.
you invest $4500 into an interest earning account that compounds daily at 5%.How much will you have in 6 years.How much interest will you earn
Answers
Answer:
4500*1.05^(365*6) = 1.1422929e+50
Is 1 and 2/3 equal to 3divided by5
Answers
Answer:
sdfdfds
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
3 divided by 5 is the same as 0.6
The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equation
h = -16t2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.
t 0.87 s
t 4 s
t = 8.5 s
t = 16 s
Answers
Answer:
B on edge 2022
Explanation:
Picture:
The time it takes the rock to reach the canyon floor is 8.5 seconds.
Option C is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Using the quadratic formula.
t = (-b ± √(b² - 4ac)) / 2a
where a = -16, b = 0, and c = 255.
Now,
Plugging in the values.
t = (-0 ± √(0² - 4(-16)(255))) / 2(-16)
t = (± √(16320)) / (-32)
t = (± 128) / (-32)
So,
The solutions for t.
t = 4 seconds (taking the negative solution)
t = 8.5 seconds (taking the positive solution)
We can eliminate t = 0.87 seconds and t = 16 seconds as they are not solutions to the equation.
Therefore,
The time it takes the rock to reach the canyon floor is 8.5 seconds.
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A teacher designs a test so a student who studies will pass 90% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 85% of the tests taken. On a given test, what is the probability that student passes?
Answers
Answer:
probability that student passes = 0.7815
Step-by-step explanation:
Given:
Student studies = 85% = 0.85
Student not study = 11% = 0.11
Student who pass = 90% = 0.90
Computation:
P(student not pass) = 1 - 0.85
P(student not pass) = 0.15
probability that student passes = P(Student studies)(Student who pass) + P(Student not study)(student not pass)
probability that student passes = (0.85)(0.90) + (0.15)(0.11)
probability that student passes = 0.765 + 0.0165
probability that student passes = 0.7815
Using the percentages given, it is found that there is a 0.7815 = 78.15% probability that student passes.
The percentages associated with passing the test are given by:
90% of 85%(student studies for the test).11% of 15%(student does not study for the test).Hence, adding these percentages:
[tex]p = 0.9(0.85) + 0.11(0.15) = 0.7815[/tex]
0.7815 x 100% = 78.15%
There is a 0.7815 = 78.15% probability that student passes.
A similar problem, also involving the use of percentages, is given at https://brainly.com/question/25960993
Jade only need 3 1/4 cans of paint
Answers
Answer:
whats the question?
Step-by-step explanation:
Someone please help ASAP will mark as Brainliest
Answers
Graph the equation y = 3x - 6
Select two points to graph the line.
Answers
Answer:
y intercept is -6 put your first point on that y intercept
Step-by-step explanation:
from -6 rise 3 and run 1 (to the right )
whats that point ? (0,2)
from that point 2.... run 1 ( to the right and up 3) that will take from x4 to y6
(0,2) (4,6) Two points
y2 -y1 = 6
x2-x1 =2
6/2 simplified is 3/1
Make sense?
what’s the nth term of -5,-4,-1,4,11,20,31
Answers
Answer:
The nth term is n + odd numbers
Thank you and please rate me as brainliest as it will help me to level up
Point Tis on line segment SU. Given ST = 2 and TU = 15, determine the length
SU.
Answers
Answer:
SU = 17
Step-by-step explanation:
The line looks like this
S--T---------------U
If you add 2 + 15 = 17
Hope this helps ya!!
4. What information do you need to classify quadrilateral EFGH as
a square?
Answers
opposite sides are congruent.
adjacent angles are supplementary.
the diagonals bisect each other.
if a quadrilateral has four congruent sides and four right angles, then it is a square.
Answer:
i think area of quad=area of square(equal sides)
Plz help will mark Brainliest What is the length of BC
Answers
Is this a test? Cause im pretty sure this is cheating
A random sample of 84 students at a university showed an average age of 22 years and a sample standard deviation of 3 years. Find the margin of error for the 94% confidence interval. (Assume that the population of students is large relative to the sample size. Round your solution to 4 decimal places)
Answers
Answer:
The margin of error for the 94% confidence interval is 0.6154.
Step-by-step explanation:
The (1 - α)% confidence interval for population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error of this interval is:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
The critical value of z for 94% confidence level is, z = 1.88.
Compute the margin of error for the 94% confidence interval as follows:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=1.88\times\frac{3}{\sqrt{84}}\\\\=0.6154[/tex]
Thus, the margin of error for the 94% confidence interval is 0.6154.
n = 2, a = 16
"Find the indicated real nth root(s) of a.
Answers
x^2 = 16
Square root of 16 = 4
The root is 4
The value of the indicated real nth root(s) of a will be 4.
What is square root of a number?A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The values are,
⇒ n = 2, a = 16
Now,
Since, We know that;
The indicated real nth root(s) of a = [tex]\sqrt[n]{a}[/tex]
Here, The values are,
⇒ n = 2, a = 16
Thus, The indicated real nth root(s) of a is,
⇒ [tex]\sqrt[n]{a}[/tex]
⇒ ²√ 16
⇒ 4
Thus, The indicated real nth root(s) of a = 4.
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