calculate the geometric mean for each pair of numbers. leave the answers in simplified radical form. 3 and 27 (A)3 (B)6 (C)9 (D)12
Answers
Option C is correct- Geometric mean for each pair of numbers is 9.
What do you mean by Geometric Mean?The Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.
Geometric Mean is the value or mean of a set of data points which is calculated by raising the product of the points to the reciprocal of the number of the data points.
Geometric mean between 2 numbers a and b can be given as
= root (a x b)
Here a = 3 and b = 27
Therefore, geometric mean =root(a x b)
= root (3×27)
= root(81)
=root(9 x 9)
= 9
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Related Questions
Cog counted down from 2021 by subtracting 7 repeatedly. How many positive multiples of 3 did Cog count?
Answers
Answer:
96
Step-by-step explanation:
There are 2021 numbers and subtracting 7 each time, we will be left with 2021/7 ≈ 289 numbers
2021/3 = remainder 2
⇒2021 = 3x + 2
2021 - 7 = 3x + 2 - 7
= 3x - 5
= 3x - 3 - 2
= 3(x - 1) - 2
adding and sub 3,
= 3(x - 1) - 2 + 3 - 3
= 3(x - 1 - 1) + 1
=3(x - 2) + 1
The remainder is 1 and hence not divisible by 3
2021 - 7 - 7 = 3(x - 1) - 2 - 7
= 3(x - 1) - 9
= 3(x - 1 - 3)
= 3 (x - 4)
Remainderis 0 and hence divisible by 3
So, every 3rd number in the 289 numbers is divisible by 3
⇒ 289/3 ≈ 96
Cog counted 96 numbers
Emma wrote thirty-six thousand,forty-two as 3,642. Explain what she did wrong. Then write the number correctly
Answers
Answer:
she forgot to Putin a 0 for example
36,042
Two boys earn money mowing lawns. Jacob mowed 12 lawns this week. He mowed 3 times as many lawns as Kevin mowed. In which equation does the box represent the number of lawns Kevin mowed?
Answers
Answer:
Kevin mowed 4 lawns.
Step-by-step explanation:
If you take 12, and divide it by 3, you get 4. Which is how many lawns Kevin mowed.
(I'm not sure about the boxes because there wasnt a picture, but good luck!)
A spinner is divided into three sections: red, blue, and green. The red section is 2/5 of the area of the spinner. The blue section is 1/2 of the area of the spinner. Give the probability for each outcome. Express your answers as fractions.
Answers
Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).
Meaning of probability :
Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.
The analysis of events governed by probability is called statistics.
According to the given information :
Red section = \(\frac{2}{5}\)
multiply numerator and denominator by \(2\) we get
Red section = \(\frac{4}{10}\)
Blue section = \(\frac{1}{2}\)
multiply numerator and denominator by \(5\) we get
Blue section = \(\frac{5}{10}\)
Green section = \(1\)- Red section - Blue section
Green section =\(1-\frac{4}{10} -\frac{5}{10}\)
Green section = \(\frac{1}{10}\)
Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).
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500.00
-319.45 = m
Solve for m
Answers
Answer:
STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:
-319.45 + 319.45 = m + 319.45
This simplifies to:
0 = m + 319.45
Finally, we can subtract 319.45 from both sides to solve for m:
0 - 319.45 = m + 319.45 - 319.45
-319.45 = m
Therefore, the value of m is -319.45.tep-by-step explanation:
what is a quarter to eight
Answers
Determine whether the following statement is true or false. If it is false, rewrite it as a true statement. A double-blind experiment is used to increase the placebo effect. Choose the correct answer below. A. The statement is false. Double blinding has no effect on the placebo effect. B. The statement is false. Double blinding is used to increase the randomization. C. The statement is true. D. The statement is false. Double blinding is used to decrease the placebo effect.
Answers
Answer:
D. The statement is false. Double blinding is used to decrease the placebo effect.
Step-by-step explanation:
In a double blind study, neither researchers nor the participants know which group is receiving the placebo. If the researchers do not know which group took the medication, they cannot influence the behavior of this group, knowingly or nor, by suggesting how they should behave.
Therefore, a double-blind experiment is used to decrease the placebo effect.
22. How many positive integers less than 1000 a) are divisible by 7? b) are divisible by 7 but not by 11? c) are divisible by both 7 and 11? d) are divisible by either 7 or 11? e) are divisible by exactly one of 7 and 11? f ) are divisible by neither 7 nor 11? g) have distinct digits? h) have distinct digits and are even?
Answers
The set of positive integers less than 1000 that are:
a)Divisible by 7 are 142
b)Divisible by 7 but not by 11 are 130
c)Divisible by both 7 and 11 are 12
d)Divisible by either 7 or 11 are 220
e)Divisible by exactly one of 7 and 11 are 220
f)Divisible by neither 7 nor 11 are 780
g)Having distinct digits are 576
h)Having distinct digits and even are 337
We have,
A whole number that is greater than zero is known as positive integer
a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.
Total terms: 994, divided by 7, plus (n-1)
There are 142 total terms below 1000 that are divisible by 7.
b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.
The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.
c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.
There are 12 total integers below 1000 that can be divided by 77.
d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.
The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.
Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.
e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.
f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.
g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),
=> Unique digits from 1 to 100 equal 90.
=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),
=> Unique digits from 101 to 200 are: 100 to 28, 72.
=> Unique numbers between 201 and 1000 = 72 x 8 = 576.
h)Different digits and even values equal to 337
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Which Which choice is equivalent to the quotient below √ 100 / √ 25
Answers
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Kerri got a score of 80.8; this version has a mean of 62.1 and a standard deviation of 11. Cade got a score of 286.4; this version has a mean of 271 and a standard deviation of 22. Vincent got a score of 7.9; this version has a mean of 7.2 and a standard deviation of 0.7. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job
Answers
Answer:
Kerri
calculate z scores z= (x - xbar)/stdev
Kerri = 1.7
Cade = .7
Vincent = 1
Step-by-step explanation:
The class midpoint for the class 23 - 29 is
Answers
The midpoint is 26.
Midpoint in this scenario = mean
(23+29)/2 = 26
Answer:
-6
Step-by-step explanation:
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
Answers
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
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A pendulum on a grandfather clock is swinging back and forth and it keeps time. A device measures the height of the pendulum above the floor as it swings back and forth. At the beginning of the measurements, the pendulum is at its highest point, 36 cm above the floor. After 4 seconds, it is at its lowest point, 12 cm above the floor. At 8 seconds, the pendulum is back at its greatest height from the floor. Assume that the graph of the distance above the floor varies sinusoidally as time. A table of values is given below.
b. Write an equation of the form H(t)=A cos (Bt) +D for your graph above.
c. What is the distance (to the nearest tenth) from the floor when t=6.5 seconds?
Answers
The distance from the floor when t = 6.5 seconds is about 13.7 cm.
We are given that;
H(t)=A cos (Bt) +D
Now,
b. To write an equation of the form H(t) = A cos (Bt) + D for the graph, we need to find the values of A, B, and D.
A is the amplitude of the cosine function, which is half the difference between the maximum and minimum values of H(t). In this case, the maximum value is 36 and the minimum value is 12, so:
A = (36 - 12) / 2 A = 12
D is the vertical shift of the cosine function, which is the average of the maximum and minimum values of H(t). In this case:
D = (36 + 12) / 2 D = 24
B is related to the period of the cosine function, which is the time it takes for one complete cycle. In this case, the period is 8 seconds, because H(t) repeats its values every 8 seconds. The formula for B is:
B = 2π / period
So:
B = 2π / 8 B = π / 4
Therefore, the equation is:
H(t) = 12 cos (π/4 t) + 24
c. To find the distance from the floor when t = 6.5 seconds, we need to plug in t = 6.5 into the equation and evaluate H(t). Using a calculator, we get:
H(6.5) = 12 cos (π/4 × 6.5) + 24 H(6.5) ≈ 13.7
Therefore, by the equation answer will be 13.7 cm.
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One month Eric rented 3 movies and 5 video games for a total of $34. The next month he rented 9 movies and 7 video games for a total of $56. Find the rental
cost for each movie and each video game.
Rental cost for each movie:
Rental cost for each video game:
G
O
G
Answers
movies 1.75 each
games 5.75 each
Use the diagram to find each angle measure .
( ignore the find the angle at the bottom and the 137 those are different problems )
Answers
Answer:
d=56, a=129, b=17
Step-by-step explanation:
so 34+d = 90
d is 56
a would be 180-51(supplementary)
so a would be 129
for b, you have to add all 3 angles and they have to equal 180
so it would be 34+129+b=180
b would be 17
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. Find the area of the trapezoid. If the answer is not an integer leave it in simplest radical form. The figure is not to scale
A=___ft^2 (Type an exact answer using radicals as needed.)
Answers
Answer:
283.5ft^2
Step-by-step explanation:
1. 14*14=196ft^2 (area of the sq)
2. (25*7)/2=87.5ft^2 (area of the tri)
3. 196+87.5=283.5ft^2
The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 20.4cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 20.4 cm, what is the single value that is the best-predicted height for that person?
Answers
The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.
To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:
y = a + bx
where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.
From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.
Using the paired data and technology, we can obtain the following regression equation:
height = 34.774 + 1.4966 (foot length)
Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:
height = 34.774 + 1.4966 (20.4)
height = 65.83 cm
Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.
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A bag of potatoes weighs 15 pounds. How many kilograms is this?
Answers
Answer:
6.8 kg
Step-by-step explanation:
1 pound = 0.4536 kg
15(0.4536) = 6.804
The figures in the picture are similar to each other. Find the value of x, rounded to the nearest whole number.
Answers
Answer:
x= 11
Step-by-step explanation:
(x-5)/(x+1) = 3/6
6x-30 = 3x+3
3x = 33
x = 11
On the diagram, two angles (<1 and <2) formed by the road, and the borders are congruent.
What is the relationship between the north and south property borders of your grandfather's
land?
Answers
Answer: they share a road lol
Step-by-step explanation:
Answer:
<1 and <2 are alternate interior angles
Step-by-step explanation:
bc they are in between the south and north so they are interior and on opposite sides of the road so they are alternate
Select the correct answer.
On the curve y = x/3
point P has coordinates (2.0.667). What is the slope of the curve at point P?
A.0.033
B.0.067
C.0.333
D.0.667
Answers
Answer:
c and d
Step-by-step explanation:
4. A model of the Elffel Tower that was
purchased in a gift shop is 30 -
inches tall. The actual height of the
Elffel Tower is 1000 feet, or 12,000
inches. What scale factor was used to
make the model?
Answers
Answer:
400
Step-by-step explanation:
To find the scale factor, you need to find out how much the initial value was multiplied by to get the new value. To do that, you need to divide the new value by the initial value. Make sure the units are the same; don't divide 1000 feet by 30 inches!
\(\frac{new}{initial} = \frac{12000}{30}=400\)
Hope this helps!
if f(x)=x^2-1, and g(x)=x+2,then g(f(x))=
Answers
The function f (x) ;
\(\begin{gathered} x^2\text{ - 1 will be used to represent the value of x in the function g (x) } \\ \text{Hence, g(x) = x + 2 } \\ =g\mleft\lbrace f(x)\mright\rbrace =(x^2\text{ - 1 ) + 2} \\ =x^2\text{ -1+2 } \\ =x^2\text{ + 1} \end{gathered}\)\(\begin{gathered} \text{The fuction represented in the given pattern now becomes : } \\ x^2\text{ + 0x + 1} \end{gathered}\)Complete the following statement. Percent is a fraction where parts make one whole.
Answers
Answer:
Percent is a fraction where the denominator is represented by 100 or 100 parts make one whole.
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
A percentage is a fraction whose denominator is 100, or how many parts make one whole.
What is percent?A number or ratio that can be expressed as a fraction of 100 is called a percentage. Divide the number by its whole number and multiply it by 100 if we have to figure out the percentage of that number. Consequently, the percentage represents one part per hundred. The word "per 100" means "per percent." The number "%" is used to symbolize it.
For given statement
A fraction with 100 as the denominator is called a percent.
Thus, a whole is made up of 100 parts. The percentage represents the number of relevant parts out of a total of one hundred.
For instance, 10% is represented by the decimal number 0.10 or the fraction 10/100.
Similarly, the decimal equivalent of 25% is 0.25, or the fraction 25/100.
Because 100/100 equals 1, 100% corresponds to the number 1.
Hence the statement is Percent is a fraction where the denominator is represented by 100 or 100 parts make one whole.
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Jack covers his ears when he hears a loud sound. Which statement is correct?
Answers
Answer:
correct answer is 3
Step-by-step explanation:
Answer:
3. Jack's central nervous system instructs his hand muscles to move towards his ears. (I got this right on my test)
Step-by-step explanation:
Because of this, we can say that in the case shown in the question above, Jack's central nervous system instructs the muscles of his hands to move toward his ears when he heard a very loud noise.
compare: These two equations
Answers
Using translation concepts, we have that:
Function f(x) underwent a reflection over the y-axis.Function g(x) underwent a reflection over the x-axis.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.
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What is the result when the number 96 is increased by 8%? Round your answer to the nearest tenth.
Answers
Answer:
Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
8% = 8/100 = 8 ÷ 100 = 0.08.
100% = 100/100 = 100 ÷ 100 = 1.
is it possible for a binomial and trinomial to have the same degree?
Answers
Answer:
No
Step-by-step explanation:
B/c trinomial has exactly 3 terms and binomial only have 2
A recent study1 examines chocolate’s effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams (1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean increase was 1.3 with a standard deviation of 2.32, while the control group had a mean change of -0.96 with a standard deviation of 1.58.
Find a 90% confidence interval for the difference in means between the two groups MC-MN , where MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality.
Round your answers to two decimal places.
Answers
Answer:
CI = (0.68, 3.84)
Step-by-step explanation:
We want to find the confidence interval for the difference in means between the two groups MC and MN.
where;
- MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day.
- MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day.
We are given;
Sample mean of C; x'c = 1.3
Sample mean of N; x'n = -0.96
Standard deviation of C; S_c = 2.32
Standard deviation of N; S_n = 1.58
Sample size of C; n_c = 11
Sample size of N; n_n = 10
Formula for the confidence interval for the difference in means is;
CI = (x'c - x'n) ± t√[(S_c²/n_c) + (S_n²/n_n)]
Where t is critical value at confidence level. From table attached, t at CL of 90% with DF = 10 - 1 = 9 is; t = 1.833
Thus;
CI = (1.3 - (-0.96)) ± 1.833√[(2.32²/11) + (1.58²/10)]
CI = [(1.3 + 0.96)) - 1.833√[(2.32²/11) + (1.58²/10)], [(1.3 + 0.96)) + 1.833√[(2.32²/11) + (1.58²/10)]
CI = (2.26 - 1.58), (2.26 + 1.58)
CI = (0.68, 3.84)
The circumference of a circle is 15pi centimeters what is the area of the circle in terms of pi?
Answers
\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)