Answer:
6.98
Step-by-step explanation:
I think that you are looking for the diameter and you are given the area of a circle.
a =[tex]\pi r^{2}[/tex] You are given pi, so [tex]r^{2}[/tex] = 72.
That means that r = [tex]\sqrt{72}[/tex] or a rounded answer of 8.49 rounded to the hundreds place. The diameter is equal to 2 radius, so the diameter rounded is 16.98
Suppose the circumference of a crop circle is 150.7968 hectometers (hm). What's the radius of the circle? (Use π = 3.1416.)
The radius of the circle is 24 hectometers.
How to get the radius of the circle?Remember that the circumference of a circle of radius R is given by the equation:
[tex]C = 2*\pi*R[/tex]
In this case, we know that the circumference is: C = 150.7968 hm
And π = 3.1416
Replacing that and solving for R, we get:
[tex]R = \frac{C}{2*\pi} = \frac{150.7968hm}{2*3.1416} = 24hm[/tex]
The radius of the circle is 24 hectometers.
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In a recent study, your town's chamber of commerce found that 73% of town residents believed that local businesses overcharged for their products. the source of this information was a telephone survey of 1,000 town residents. find a 95% confidence interval for the average percentage of everyone in your town who believes that local businesses overcharge.
The Confidence interval for 95% who believes that the local businesses overcharge = (0.7026, 0.7574)
What is meant by confidence interval?The range of values we see in our sample and hope to identify the value that most closely represents the population are referred to as a confidence interval.
According to the given information:Sample size n = 1000
73% of town residents believed that local businesses overcharged for their products over 1000 resident.
= (1000/100) x 73
= 730
Sample proportion p = 730/1000
= .73
q = 1-p = 0.23
Std error of proportion = √(pq/n)
= √((.73*0.27)/1000)
= 0.0140
95% Z critical value = 1.96
Margin of error = 1.96*0.0140
= 0.0274
Confidence interval = sample proportion ±margin of error
(0.7026, 0.7574)
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A teacher gave her class two tests. 50% of the class passed the first
test, but only 25% of the class passed both tests. What percentage of
those who passed the first test also passed the second test? %
25
100
50
12.5
Answer: 50
Step-by-step explanation:
50% of the class passed the first test, so that 25% that passed both test has to be part of the 50% that passed the first test. 25% that passed both is 50% of the 50% that passed the first test. Hopefully that makes sense.
At the beginning of the summer, sarah has $250. she takes a summer job and saves $150 per week. felicia has $1,650 at the beginning of the summer. she travels during the summer and spends $200 per week. at the end of which week do sarah and felicia have the same amount of money?
Answer:
Week 4
Step-by-step explanation:
Victoria has $250 and saves $150 each week, hence have increments $150 each week
250+150 (first week)
= 400
second week = 400 + 150 = 550
third week = 550 + 150 = 700
fourth week = 700 + 150 = $850
Felicia on the other hand has $1,650 and spends $200 each week, hence has decrements of $200 each week.
1650+200 (first week)
= 1450
second week = 1450 - 200 = 1250
third week = 1250 - 200 = 1050
fourth week = 1050 + 200 = $850
Solve this inequality and write the solution using interval notation:
The solution to the inequality in discuss involving a rational expression as indicated in the task content is; t (9, infinity).
What is the solution to the inequality as indicated in the task content in which case, the solution is expressed using interval notation?The inequality given in the task content as evident is; (2t +22)/(2t +2) <= 2.
On this note, the inequality can be solved by cross-multiplication as follows;
2t +22 <= 4t +4
Hence, we have;
-2t <= -18
t >= 9.
Hence, when expressed as an interval notation, we have; t (9, infinity).
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Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities. 48, 50, 54, 56, 63, 63, 64, 68, 74, 74, 79, 80 Notice that the temperatures are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:
The five number summary and interquartile range for the data-set is given by:
Minimum: 48Lower quartile: 54.Median: 63.5.Upper quartile: 74Maximum: 80.Interquartile range: 20How to find the five number summary and interquartile range of the data-set?The five number summary is composed by the minimum and maximum value, and the first quartile, median and third quartile. As for each of these data, they are explained below.
The minimum value is the smallest value from the data-set, as the maximum value is the greatest value of the data-set.The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third quartile and the first quartile.In this problem, we have that:
The minimum value is the smallest value, of 48.The maximum value is the smallest value, of 80.The data-set has even cardinality, hence the median is the mean of the middle elements, which are 63 and 64, hence the median is of 63.5.The first quartile is the median of the five elements of the first half, hence it is of 54.The third quartile is the median of the five elements of the second half, hence it is of 74.The IQR is the difference between the quartiles, hence 74 - 54 = 20.More can be learned about five number summaries at brainly.com/question/17110151
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On Wednesday, 1/3 of the students in Mr. Short's homeroom had drama practice, and 1/4 of his other homeroom students had band practice. If 6 students had band practice, how many students are in Mr. Short's homeroom?
Answer:
36
Step-by-step explanation:
Honestly, I'd work this out visually (see image) by drawing a rectangle and dividing it up. But if you need to show the math, here's how to do it:
Let x = the number of students in the homeroom
1/3 x have drama
1/4 (x - 1/3x) have band, and we are told 6 students have band, so
1/4 (x - 1/3 x) = 6
1/4 (2/3 x) = 6
2/12 x = 6
1/6 x = 6
6 × 1/6 x = 6 × 6
1 x = 6 × 6
x = 36
Answer:
36
Step-by-step explanation:
Let n be the total number of students in Mr. Short's homeroom. Then, working backward, we see that
6 = 1/4(1 - 1/3)n = 1/4(2/3)n = 1/6n,$
so n = 6 x 6 = 36 students.
Given f(x)=abx+c. How would increasing the value of a change the graph?
Increasing the value of a increases the initial value of our exponential, and also increases the rate of growth of the function.
How would increasing the value of a change the graph?
Y assume we have an exponential equation of the form:
y = a*b^x + c
In this case, a is what we know as the "initial value" of the exponential.
Notice that when we evaluate in x = 0, we get:
y = a*b^0 + c
y = a + c
So increasing a will increase the initial value of what we are representing, but it will also increase the "rate" at which our function increases when x increases.
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100 points to whoever can answer this!
Answer:
10724.29
Step-by-step explanation:
mean means average
so to find an average you add everything together then divide it by the amount of variables
m = (10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477)/7
m = 75070/7
m = 10724.2857143
m = 10724.29
Use the recursive formula to find the first five terms in the arithmetic sequence.
The first five terms of the given arithmetic sequence are:
54, 45, 36, 27, 18 (First option)
The arithmetic sequence is given as follows,
f(n) = f(n-1) - 9 ............ (1)
Also, f(1) = 54 .............. (2)
Now, for finding the first five term of this arithmetic sequence, we will substitute n as 1, 2, 3, 4, and 5 one by one. Using the above formula for the arithmetic sequence, we can deduce the first five terms.
f(1) is the first term of the sequence which is already provided as 54.
Now, putting n=2 in equation (1), we get,
f(2) = f(2-1) - 9
f(2) = f(1) - 9
Substitute f(1) = 54 from equation (2)
⇒ f(2) = 54 - 9
f(2) = 45
To find the third term of the arithmetic sequence, put n = 3 in equation (1)
f(3) = f(3-1) - 9
f(3) = f(2) - 9
⇒ f(3) = 45 - 9
f(3) = 36
Similarly, we can find the fourth and fifth terms of the arithmetic sequence by substituting n = 4 and n = 5 respectively.
∴ f(4) = f(3) - 9
⇒ f(4) = 36 - 9
f(4) = 27
Likewise, f(5) = f(4) - 9
⇒f(5) = 27 - 9
f(5) = 18
Thus, using the recursive formula, the first five terms of the arithmetic sequence are deduced to be:
54, 45, 36, 27, 18
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Determine the area between the curves by integrating over the x-axis or y-axis.
x=y^2
x=-|y|+12
When [tex]y\ge0[/tex] (above and on the [tex]x[/tex]-axis), we have [tex]|y|=y[/tex]. The parabola [tex]x=y^2[/tex] intersects with [tex]x=-|y|+12[/tex] in this region when
[tex]y^2 = -y + 12 \implies y^2 + y - 12 = (y-3)(y+4) = 0 \implies y=3[/tex]
On the other hand, when [tex]y<0[/tex] (below the [tex]x[/tex]-axis, we have [tex]|y|=-y[/tex], and so the curves intersect when
[tex]y^2 = -(-y) + 12 \implies y^2 - y - 12 = (y - 4)(y+3) = 0 \implies y=-3[/tex]
The area between the curves is then given by the definite integral,
[tex]\displaystyle \int_{-3}^3 (-|y| + 12) - y^2 \, dy[/tex]
The integrand is symmetric about the [tex]x[/tex]-axis, so the integral is equivalent to
[tex]\displaystyle 2\int_0^3 12 - y - y^2 \, dy = 2 \left(12y - \frac{y^2}2 - \frac{y^3}3\right)\bigg|_0^3 = \boxed{45}[/tex]
math help !!!!!!!!!!!!!!!
The values of b, h and k are (c) b = 2, h = -2 and k = -9
How to determine the values of b, h and k?The logarithmic function is given as:
f(x) = log₂(x + 2) - 9
A logarithmic function is represented as:
f(x) = logb(x - h) + k
By comparing both equations, we have
b = 2
h = -2
k = -9
Hence, the values of b, h and k are (c) b = 2, h = -2 and k = -9
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A newspaper article claimed: "the average cost of weekly groceries is $124.50." what statistical measurement are they most likely claiming?
The average cost of weekly groceries exists at $124.50." The statistical measurement exists they most probably claim exists mean.
What is mean?The arithmetic mean of a given data exists as the totality of all observations divided by the number of observations.
For instance, a cricketer's scores in five ODI matches exist as follows:
12, 34, 45, 50, 24.
To estimate his average score in a match, we compute the arithmetic mean of data utilizing the mean formula:
Mean = Sum of all observations/Number of observations
Median
The value of the middlemost observation, acquired after organizing the data in ascending or descending order, exists named the median of the data.
For instance, consider the data: 4, 4, 6, 3, 2. Let's organize this data in ascending order: 2, 3, 4, 4, 6. There exist 5 observations.
Therefore, median = middle value i.e. 4.
Mode
The value which occurs most often in the provided data i.e. the observation with the highest frequency exists named a mode of data.
As per the circumstances we have given the average cost of groceries.
The mean exists also the average sum of data divided by the total number of data.
Therefore, the statistical measurement exists as the mean.
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The pair of triangles below have
two corresponding parts marked
as congruent. What additional
information is needed for a AAS
congruence correspondence?
Answer:
option c
Step-by-step explanation:
option c is a correct answer
Which set of radian angle measures is
equivalent to….
[tex]
\sin^{-1} \left(-\frac{1}{2} \right)=-\sin^{-1} \left(\frac{1}{2} \right)=\boxed{-\frac{\pi}{6}}[/tex]
Hello, I need help with this. Giving brainiliest
9^(a) = (sqrt(3))^(a +2)
Answer:
2/3
Step-by-step explanation:
Let's solve your equation step-by-step.
9a=(√3)a+2
9a=1.732051a+2
Solve Exponent.
9a=1.732051a+2
log(9a)=log(1.732051a+2)(Take log of both sides)
a*(log(9))=(a+2)*(log(1.732051))
a=(log(1.732051)/log(9))*(a+2)
a=0.25*(a+2)
a=0.25a+0.5(Simplify both sides of the equation)
a−0.25a=0.25a+0.5−0.25a(Subtract 0.25a from both sides)
0.75a=0.5
0.75a/0.75=0.5/0.75
(Divide both sides by 0.75)
a=0.666667
a=2/3
0.666667=2/3
Hope this helps :)
Answer:
2/3
Step-by-step explanation:
9^a = sqrt(3)^a * sqrt(3)^2
9^a = 3^((a/2)+1)
3^(2a) = 3^((a/2)+1)
2a = (a/2)+1
1.5a=1
a=1/(3/2) = 2/3
What is the shape of the cross section taken parallel to the base of a cylinder? circle rectangle triangle ellipse
The option A is correct. A circle is the shape of the cross section taken parallel to the base of a cylinder.
According to the statement
We have given that the cylinder and we have to tell that the which shape required for the cross section taken parallel to the base of a cylinder.
So, For this purpose,
We know that the
A cylinder is a three-dimensional solid, one of the most basic geometric shapes.
In this shape the surface formed by the points at a fixed distance from a line segment, which is known as the axis of the cylinder.
As the bases of cylinder are two identical circles which are parallel to the curved surface.
The curved surface when we open will be circle rather than the circle.
So, Due to this reason the answer is a circle.
Therefore, a circle is the shape of the cross section taken parallel to the base of a cylinder.
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Combine the like terms to create an equivalent expression. 9+a-5b-2=
❄ Hi there,
let us combine the like terms and create an equivalent expression –
[tex]\large\begin{gathered} \sf{9+a-5b-2} \\\sf{9-2+a-5b}\\\sf{7+a-5b} \end{gathered}[/tex]
That's as far as we can go.
❄
The average (mean) mass of an apple is 14g. The total mass of the
apple basket is 182g. So, how many apples are there in the basket?
1. If x = 1 and y = 7, evaluate x+y/4
Answer:
2
Step-by-step explanation:
given x=1 and y=7
now, given expression ,
x+y/4
by putting the values of the x and y ,we get
x+y/4
= 1+7/4
= 8/4
= 2 (Ans.)
A professional basketball team won 48 games and lost 32. what fraction of the games did the team win?
Answer:
48/80 = 6/10
Step-by-step explanation:
48 wins
+ 32 lost
= 80 total games
Then the fraction of the games win is:
48/80
= 6/10
Answer:3/5 of the games
Step-by-step explanation: The total number of games played by the team is 48+32 = 80 games. out of hose 80, they won 48 so they won 48/80 games. We can simplify this by dividing both sides by 8 to get 6/10. Which is 60%. Finally we can simplify again by dividing the fraction by 2/2 to get 3/5.
Help please! What is the correct answer and how do I solve for R?
________ is used to describe the relationship between two things of the same type, such as one person being married to another person.
Answer:
"Unary Association" I believe
Find two consecutive numbers such that the sum of four times the first and triple the second is 157. (linear function)
So, 22, 23 are the two numbers.
What is linear and polynomial function?There are two distinct but related ideas that are referred to as linear functions: A polynomial function of degree 0 or 1 is referred to as a linear function in calculus and related fields if its graph is a straight line.
Consecutive numbers are preceding and following, hence we need two numbers so that
X+1=Y
or
X- Y = -1
In addition, we are aware of
4x + 3y = 157
Let's increase the top equation by 3 times.
We get
3x - 3y = -3
Then we combine that with the bottom equation.
4x + 3y = 157
7x= 154
x = 22
Afterward, we substitute x into the initial equation,
22+1 = 23
So, 22, 23 are the two numbers.
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How many strings of 12ternary digits (0, 1, or 2) are there that contain exactly three 0s, five 1s, and four 2s?
There are 27720 strings.
Strings of 12 ternary digits, 3 possibilities for each digit in the string, gives a total of 3^12 = 531,441 ternary strings of length 12.
There are
C(12,3) = 12! / (9! 3!) = 12 * 11 * 10/ 3 * 2 = 220 possible combinations of positions for the three 0s.
Of the 9 remaining positions, there are
C(9,4) = 9! / (5! 4!)
= 9 * 8 * 7 * 6/ (4 * 3 * 2 * 1)
= 126 possible combinations of positions for the four 2s.
The remaining 5 places are, of course, occupied by the five 1s.
So there that contain exactly three 0s, five 1s, and 4 2s are 220 * 126= 27720 such strings.
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there were 7 cantaloupes for every 8 watermelons in the garden. If there were 98 cantaloupes, how many watermelons were in the garden?
Answer:
14×7=98 so multiply the same into 14×8=112
Answer:
112 watermelons
Step-by-step explanation:
7/8 = 7÷7/8÷7 = 1/1.14285714286
1 x 98/ 1.14285714286 x 98
98/112
What is the measure of z?
X
4
y
Z
Z
9
= [?]√
Answer:
z = [tex]3\sqrt{13}[/tex]
Step-by-step explanation:
To find the measure of z we can use the Euclidian Theorem:
[tex]z^{2}[/tex] = 9(9+4) do the multiplication
[tex]z^{2}[/tex] = 117 find the root of both sides
z = [tex]3\sqrt{13}[/tex]
Find the missing length indicated.
The missing length indicated on the right triangle is 120 units
How to determine the missing length?To start with:
The missing length in the right triangle can be represented with the variable x
Next, we have the following equivalent ratio from the given triangle
64 : x = x : 289 - 64
Express the ratio as a fraction
64/x = x/(289 - 64)
Evaluate the difference on the right-hand side
64/x = x/225
Cross multiply in the above equation
x * x = 64 * 225
This gives
x^2 = 64 * 225
Take the square root of x^2 (do not approximate)
x = 64 * 225
Take the square root of 64 and 225 (do not approximate)
x = 64 * 225
Evaluate the product of 8 and 5
x = 120
Based on the given parameters, the missing length indicated on the right triangle is 120 units
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The following are the distances (in miles) to the nearest airport for 12 families. 6, 7, 8, 8, 16, 19, 23, 24, 26, 27, 34, 35 Notice that the numbers are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:
Using it's definitions, the five-number summary and the interquartile range for the data-set is given as follows:
Minimum: 6Lower quartile: 8Median: 21.Upper quartile: 27Maximum: 35Interquartile range: 19What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third quartile and the first quartile.This data-set has 12 elements, which is an even number, hence the median is the mean of the 6th and 7th elements, as follows:
Me = (19 + 23)/2 = 21.
The first quartile is the median of 6, 7, 8, 8, 16, which is the third element of 8.
The third quartile is the median of 23, 24, 26, 27, 34, 35, which is of 27. Hence the interquartile range is of 27 - 8 = 19.
The minimum is the lowest value in the data-set, which is of 6, while the maximum is of 35, which is the largest value in the data-set.
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what expression is equivalent to 6+3(n-4)-8+2n
Answer:
Step-by-step explanation:
Comment
Begin by removing the brackets.
6+3(n-4)-8+2n
6 + 3n - 12 - 8 + 2n Collect like terms
3n + 2n + 6 - 12 - 8 Combine
5n - 14
Answer
5n - 14
