Answer: I believe the answer would be as follows:
8.431 grams
5.46 seconds
980 meters
900 miles
Step-by-step explanation:
it would first be which has the largest number after the decimal point, so if there’s three it goes first (0.12*3*). Then you would pick the one that is the smallest form of measurement, which would be meters in this case.
Hope this helped!
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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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]
10.
JKLM is a rhombus KLN is a triangle. Find MKN.
Answer:
65°
Step-by-step explanation:
JM = JK (all sides of a rhombus are equal)
Angle JKM = 25° (isosceles triangle)
Angle JKL = 50° (consecutive angles of rhombus)
Angle MKL = 25° (angle subtraction)
Angle MLK = 130° (opposite angles of a rhombus)
Angle KLN = 50° (angles on a straight line)
Angle LKN = 40° (angle sum of triangle)
Angle MKN = 65° (angle addition)
Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be PLEASE NEED HELP
moved by dragging with a mouse.
The ratio of the volume of a pyramid to the volume of a prism with the same base and height is Response area. Because the formula for the volume of a prism is V=Bh, where B is the area of the base and h is the height, the formula for the volume of a pyramid is Response area.
The ratio of the volume of a pyramid to the volume of a prism with the same base and height is 1 to 3; the formula for the volume of a pyramid is V = 1/3Bh.
Volume of pyramidVolume of prism, V = BhVolume of pyramid, V = 1/3Bhwhere,
B = the area of the base and h = the heightVolume of prism : Volume of pyramid
Bh : 1/3Bh
Therefore, the ratio of the volume of a pyramid to the volume of a prism with the same base and height is 1 to 3.
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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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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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Find the surface area of the prism.
Answer:
204
Step-by-step explanation:
6*10=60
6*6=36
6*8=48
2((10*6)/2)=60
60+60+36+48=204
________ 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
The first 5 terms of a sequence are 2 8 14 20 26 Find the nth term
Answer: [tex]\Large\boxed{a_n=6n-4}[/tex]
Step-by-step explanation:
Given sequence
2, 8, 14, 20, 26
Determine the pattern
2 + 6 = 8
8 + 6 = 14
14 + 6 =20
20 + 6 = 26
For each term, add 6 to get the next term
Determine the type of sequence
Since it continuously adds 6, the common difference is 6, which means it is an arithmetic sequence
Given the arithmetic sequence formula
aₙ = a₁ + d (n - 1)
a₁ = 1st term of a sequenceaₙ = nth term of a sequencen = nth positiond = Common differenceSubstitute values into the formula
aₙ = (2) + (6) (n - 1)
aₙ = 2 + 6 (n - 1)
aₙ = 2 + 6n - 6
aₙ = 2 - 6 + 6n
[tex]\Large\boxed{a_n=6n-4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Given sequence :-
2 , 8 , 14 , 20 , 26...Solution :-
We need to calculate the nth term of the given sequence.
Common difference (d) = 8 - 2 => 6First term of sequence (a) = 2We know that,
tn = a + (n - 1) dApplying the values here.
>> tn = 2 + (n - 1) 6
>> tn = 2 + (n - 1) × 6
>> tn = 2 + 6n - 6
>> tn = 6n - 4
Therefore, nth term of the sequence is (6n - 4).
25) Every month the cafeteria orders 120 gallons of milk and 220 gallons of chocolate milk. What is the ratio of milk to chocolate milk as a fraction in simplest form?
Answer:
Step-by-step explanation:
120:220
2 will go into 120 60 times and go into 220 110 times. So your answer comes down to;
60:110
10 will go into 60 6 times and go into 110 11 times So your answer comes down to;
6:11
That is your final answer 6:11
Suppose it costs $43 to roll a pair of dice. you get paid $6 times the sum of the numbers that appear on the dice. is it a fair game?
The game is not fair as 6 times the expected sum is less than the cost, $43.
In the question, we are asked if the game is fair.
For the game to be fair, 6 times the expected sum for the pair from the game has to be greater than or equal to $43, that is,
6E(X) ≥ 43.
The expected sum for the pair, E(X) can be calculated using the formula,
E(X) = ∑x.p(x),
or, E(X) = 1/18 + 1/6 + 1/3 + 5/9 + 1/6 + 7/9 + 10/9 + 1 + 5/6 + 11/18 + 1/3,
or, E(X) = 107/18.
Now, 6E(X) = 6*(107/18) = 107/3 = 35.67.
Since, the total return from the game is $35.67, which is less than the cost of $43, the game is not fair.
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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
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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The go fish game tank contains 30 fish the probability of catching a purple fish is 1/3 the probability of catching a green fish
Answer:
2/3
Step-by-step explanation:
since they are just two colors of fish inside, since the probability is always 1.. so we have to minus 1/3 from 1,which is 1-1/3=2/3
[tex]\frac{12}{20} =_____% = _____ hundredths
The percentage form of given fraction is 60% and the hundredths form is 0.60
According to the statement
we have given that the a fraction and we have to find the percentage of that fraction and write in the form hundredths.
So, For this purpose,
The given fraction is 12/20.
Then the definition of the percentage is that
The Percentage, a relative value indicating hundredth parts of any quantity.
so, the percentage of given fraction is :
Percentage fraction = 12/20 * 100
After solving it, The percentage fraction will become:
Percentage fraction = 60%
and Now convert into the hundredths form then
In the hundredths form it will become
from 60% to 0.60.
So, The percentage form of given fraction is 60% and the hundredths form is 0.60
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The appropriate test for a comparison a group of 10 dogs and group of 10 cats is:_____.
The appropriate test for a comparison a group of 10 dogs and group of 10 cats is called independent sample t-test.
In this question,
The independent samples t test (also called the unpaired samples t test) is the most common form of the T test. It helps you to compare the means of two sets of data.
The Independent samples t test compares the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different.
The independent sample t-test is a useful statistical method of hypothesis testing when an organization wants to determine whether there is a statistical difference between two categories, groups, or items and, furthermore, if there is a statistical difference, whether that difference is significant.
From the definition, the independent sample t-test is the appropriate test for a comparison a group of 10 dogs and group of 10 cats.
Hence we can conclude that the appropriate test for a comparison a group of 10 dogs and group of 10 cats is called independent sample t-test.
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Sarmad has a backyard pool that is filled with 10800 gallons of water the pool has a leak and is loseing about 2 gallons of water every second
a) Write an expression to represent that amount of water in the pool assume the pool starts with a full quantity of 10800 gallons.
b) How much water is the pool after 187 seconds
11) describe the transformations that have been applied to the function y=x Use proper mathematical terminolgy.
a) y=-2x b) y=x-2
The function that represents the amount of water is y = -2x + 10800 while the water in the pool after 187 seconds is 10426 gallons
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A linear equation is in the form:
y = mx + b
Where m is the slope and b is the y intercept
Let y represent the amount of water in the pool after x seconds, hence:
y = -2x + 10800
After 187 s:
y = -2(187) + 10800 = 10426 gallons
The function that represents the amount of water is y = -2x + 10800 while the water in the pool after 187 seconds is 10426 gallons
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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]
h(x)=
8
1
x
3
−x
2
h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 8, end fraction, x, cubed, minus, x, squared
What is the average rate of change of hhh over the interval -2\leq x\leq 2−2≤x≤2minus, 2, is less than or equal to, x, is less than or equal to, 2?h(x)=
8
1
x
3
−x
2
h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 8, end fraction, x, cubed, minus, x, squared
What is the average rate of change of hhh over the interval -2\leq x\leq 2−2≤x≤2minus, 2, is less than or equal to, x, is less than or equal to, 2?
The average rate of change of the function over −2 ≤ x ≤ 2 is 1/2
How to determine the average rate of change?The function is given as:
[tex]h(x) = \frac 18x^3 - x^2[/tex]
The interval is given as:
−2 ≤ x ≤ 2
Calculate h(2) and h(-2)
[tex]h(2) = \frac 18 * 2^3 - (2)^2[/tex]
h(2) = -3
[tex]h(-2) = \frac 18 * (-2)^3 - (-2)^2[/tex]
h(-2) = -5
The average rate of change is then calculated as:
[tex]m = \frac{h(-2) - h(2)}{-2-2}[/tex]
This gives
[tex]m = \frac{-5 + 3}{-4}[/tex]
Evaluate
m = 1/2
Hence, the average rate of change of the function over −2 ≤ x ≤ 2 is 1/2
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Complete question
[tex]h(x) = \frac 18x^3 - x^2[/tex]
What is the average rate of change of h over the interval −2 ≤ x ≤ 2
The data in the table can be entered into a calculator to determine a linear equation of best fit where x represents the number of years with a company and y represents an employee’s salary in dollars.
What conclusion can be drawn from the correlation coefficient associated with this linear equation?
Based on the given table which shows the number of years with a company in relation to the employee salary, the conclusion that can be drawn is There is a weak positive correlation between the variables.
What is the correlation between the values?When two variables are said to be positively correlated, then it means that when one variable increases, the other variable would increase as well.
If the correlation between them is strong, then the increase between the variables would be more uniform i.e. we can tell with higher accuracy, how the increase in one variable would affect the other.
In the table, we see that with every increase in the number of years with the company, there is an increase in the salary. This means that there is a positive correlation.
The increase is not uniform however. Sometimes it increases by $1,000, and other times by $7,000. As the increase is not uniform, it means that the correlation is weak.
In conclusion, there is a weak positive correlation between number of years and salary.
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2 [{2-2(2÷2-2)} ÷2]÷2
Answer:
read below or other answer
Step-by-step explanation:
2 [{2-2(2÷2-2)} ÷2]÷2
2 [ { 2 - 2 ( 1 - 2 ) } ÷ 2 ] ÷ 2
2 [ { 2 - 2 ( - 1 ) } ÷ 2 ] ÷ 2
2 [ { 2 + 2 } ÷ 2 ] ÷ 2
2 [ 4 ÷ 2 ] ÷ 2
2 ( 2 ) ÷ 2
4 ÷ 2
2 divided by 2
Answer: 2
Step-by-step explanation:
Brandi's car holds 20 gallons of gasoline. Gas is $2.50 per gallon.
Domain:
Range:
Step-by-step explanation:
20 gallons of gasoline
gas is $ 2.50 per gallons
2.50 × 20
{(2×2)(0×.5)(0)}
domain=200
range=2.5
what is x in x +10 =2000
Answer:
x=1990
Step-by-step explanation:
x+10=2000
x=2000-10
x=1990
Answer:
therefore x = 1990
Step-by-step explanation:
x+10 = 2000
= x = 2000-10
= x = 1990
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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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
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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For a project in her Geometry class, Chloe uses a mirror on the ground to measure
the height of her school's football goalpost. She walks a distance of 10.65 meters from
the goalpost, then places a mirror on flat on the ground, marked with an X at the
center. She then steps 1.2 meters to the other side of the mirror, until she can see the
top of the goalpost clearly marked in the X. Her partner measures the distance from
her eyes to the ground to be 1.75 meters. How tall is the goalpost? Round your answer
to the nearest hundredth of a meter.
Answer: 15.53
Step-by-step explanation:
Let the height of the goalpost be y. Then,
[tex]\frac{y}{10.65}=\frac{1.75}{1.2}\\\\y \approx 15.53[/tex]
Elise is buying a new car selling for
$21,450. The rate of depreciation on this
type of car is 8% per year. On the graph
of a function that represents this
situation, where does the line cross the y
axis?
Answer: 21450
Step-by-step explanation:
That is the initial price.
The line cross the y axis at 21450.
The correct option is (C)
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Elise is buying a new car selling for $21,450.
The rate of depreciation on this type of car is 8% per year.
Using f(x) = A [tex](1+r)^x[/tex]
A= $21,450. and r = -8% (depreciated)
So, f(x) = A [tex](1+r)^x[/tex]
f(x) = 21450 [tex](1- 8/100)^x[/tex]
= 21450 x [tex](0.92)^x[/tex]
Thus, the line cross the y axis at
= 21450 ( initial point)
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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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How many 5-digit numbers can be created
using the digits 2, 3, 5, 7, and 8 without
repeating any digits within that 5-digit
number?
Answer:
120.
Step-by-step explanation:
That would be factorial 5, written 5!.
That is 5*4*3*2*1
= 120.
Answer:
120
Step-by-step explanation:
We have 5 digits that can be used to create different 5 digit numbers. We are also not allowed to repeat any numbers. Let's say we have 5 boxes to put the 5 numbers in.
Box 1
Box 2
Box 3
Box 4
Box 5
In the first box, we have 5 different choices. Since we aren't allowed to repeat any digits, the second box only has 4 different choices. And so on...
Box 1 --> 5 choices
Box 2 --> 4 choices
Box 3 --> 3 choices
Box 4 --> 2 choices
Box 5 --> 1 choice
Therefore the amount of 5 digit numbers that can be created is:
[tex]5\times4\times3\times2\times1[/tex] or 5 factorial (a factorial is all the product of all the positive integers equal to and less than the number), which is equivalent to:
120 5-digit numbers