Answer: 2/3
Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.
GCF: The greatest common factor is integer divisible by both numbers. This number will evenly divide into both the numerator and denominator in this case.
Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.
Factors of numerator (6): 1, 2, 3, 6
Factors of Denominator (9): 1, 3, 9
both numbers have a common factor of 3 which is the greatestSteps to Calculate:
1. Find the GCF
2. Divide numerator and denominator by GCF
6/3 = 2
9/3 = 3
Therefore, the lowest term would be 2/3
A farmer picked 725 pounds of apples one week. Hepicked 693 pounds of pears in the same week. Whichcalculation can be used to find out how many morepounds of apples than pears he picked?
a farmer picked 725 pounds of apple,
also
The city of Raleigh has 10,000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 450 randomly selected registered voters was conducted. 166 said they'd vote for Brown, 257 said they'd vote for Feliz, and 27 were undecided.
Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown.Round your
answer to four decimal places.
This sample statistic suggests that we might expect
voters to vote for Brown.
of the 10,000 registered
The sample statistic for the number of respondents who said they would vote for Brown is 0.3689, and the number of respondents who indicated they would vote for Brown is 3689.
The population in this survey are the registered voters in Raleigh. There are 10000 registered voters in Raleigh from which a sample is group selected of 450 randomly selected registered voters was conducted in which 166 said they'd vote for Brown, 257 said they'd vote for Feliz, and 27 were undecided.
So, according to the given data
The sample statistic is the number who would vote for Brown divided by the total number in the sample, means
[tex]\frac{166}{450}[/tex]
0.3689
To find sample statistic suggests that we might expect voters to vote for Brown of the 10,000 registered, we multiply the sample statistic (0.3689) with the total number of voters (10000) means
0.3689 * 10000 = 3689.
Therefore we can conclude that the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.3689 and the voters to vote for brown is 3689.
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a random variablegroup of answer choicesis the result of a measurement.can only be discrete.assigns one and only one numeric value to each experimental outcome.is a binomial, poisson, or hypergeometric variable.
A random variable assigns one and only one numeric value to each experimental outcome.
A random variable used in experimental trials assign numerical values to the members or elements of the trial. This random variable is used to study the outcome of a trial conveniently.
A random variable assigns one and only one numeric value to each experimental outcome. This assigned numeric value may not be exact. In an experimental trial the possible outcomes are denoted by a random variable. So these values are just practically assigned and not theoretically exact.
There are discrete and continuous random variables. They are usually denoted by capital letters such as X, Y,.. etc. These random variables are used to calculate the probability of each outcome in a trial.
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Your good friend Carlos, offers you the opportunity to join his game. The rules are:
If you pick a spade from a shuffled pack, you win $9.00.
If you lose you owe him $2.00
Find the expected value you win the game?
If Your good friend Carlos, offers you the opportunity to join his game. The rules are: If you pick a spade from a shuffled pack, you win $9.00. If you lose you owe him $2.00 . The expected value you win the game is $.075.
Expected valueProbability of getting spade = 13/52
Probability of getting spade = 1/4
Probability of getting another thing = 1 - 1/4
Probability of getting another thing = 3 / 4
Now let find the expected value
E(x) = Σxp(x)
Expected value = 9 × 1/4 + (-2) (3 /4)
Expected value = 9 /4 - 6 /4
Expected value = 3 /4
Expected value = $0.75
Therefore the expected value is $0.75.
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Julian Hathaway earns $32,000 annually as a teacher. If the school issues biweekly paychecks, how much
is each check?
Answer:
$1,230.77
Step-by-step explanation:
Bi-weekly: every two weeks
52 weeks in a year÷ 2= 26
Julian gets paid 26 weeks out of the year
$32,000÷26=$1230.769231
about $1,230.77 on paychecks
Answer:
she will earn $64,000
because $32,000 +$32,000= 64,000
Step-by-step explanation:
biweekly paycheck for 2weeks so I added the number so it will be multiple times 2 week s
se the given frequency distribution to find the (a) class width. (b) class midpoints. (c) class boundaries. temperature (f) frequency question content area bottom part 1 (a) what is the class width?
The class width is 5 for the given frequency distribution.
What are class boundaries?
The values used to demarcate classes are called class borders. The difference between a class's upper-class limit and its lower-class limit indicates the extent of the gap between classes.(a) Class width is the same for all the classes. It is the difference between the lower class limit of two consecutive classes
Therefore Lower limit of 50 - 54 = 50
Lower limit of 55 - 59 = 55
Class width = 55 - 50
Class width = 5
If calculated all have the same class width.
(b) Midpoint is the average of the sum of lower and upper-class limits of the class.
Temp Freq Midpoint
50-54 1 52
55-59 3 57
60-64 5 62
65-69 11 67
70-74 7 72
75-79 7 77
80-84 1 82
(c) Class boundaries are to make the classes continuous mostly. We can find this by first calculating the difference between the upper-class limit and the lower-class limit of the next class and taking its average.
Add this average to the upper limit and subtract this average from the lower limit
Lower boundary for 50 - 54 = 50 - 0.5 = 49.5
Upper boundary for 50 - 54 = 54 + 0.5 = 54.5
Temp Freq Class Boundaries
50-54 1 49.5-54.5
55-59 3 54.5-59.5
60-64 5 59.5-64.5
65-69 11 64.5-69.5
70-74 7 69.5-74.5
75-79 7 74.5-79.5
80-84 1 79.5-84.5
The class width is 5 for the given frequency distribution.
Complete question: Use the given frequency distribution to find the
(a) class width.
(b) class midpoints.
(c) class boundaries.
Temperature (°F) Frequency
32-36 1
37-41 3
42-46 5
47-51 11
52-56 7
57-61 7
62-66 1
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5x-6=2x+9 solve and Check the solution
Answer:
x = 5
Step-by-step explanation:
Take your starting equation:
5x - 6 = 2x + 9
Your first step should be to isolate the variable, X, by having it on only one side of the equation. This can be done by subtracting one of the X values (either 5x or 2x) from either side, but I recommend the side with 2x since it's a smaller value and won't result in a negative.
(This is the right side of the equation)
2x + 9
- 2x
= 9
We need to do the same thing on the other side of the equation too, to balance both sides:
(This is the left side of the equation)
5x - 6
- 2x
= 3x - 6
This is our equation now:
3x - 6 = 9
The next step is to isolate X further by removing any constants (regular numbers) from the side with X. Since the constant on that side is -6, we need to add 6 to that side so that it's cancelled out, and do the same on the other side to balance.
(This is the left side of the equation)
3x - 6
+ 6
= 3x
And now for the other side:
(This is the right side of the equation)
9
+ 6
= 15
This is our current equation:
3x = 15
The final step is to get X completely isolated. X is being multiplied by 3, so we need to divide both sides of the equation by 3 to finally get the value of X.
(This is the left side of the equation)
3x
÷ 3
= x
And now for the other side:
(This is the right side of the equation)
15
÷ 3
= 5
Our final equation:
x = 5
We can check our answer by taking the final X value, 5, and inserting it into our beginning equation.
This is the beginning equation, as a reminder:
5x - 6 = 2x + 9
Replace all instances of X with its value, 5:
(5 · 5) - 6 = (2 · 5) + 9
After simplifying, the result is:
19 = 19, which means the X value is correct.
answer for brainliest
The slope intercept form equation of the line g is y = 2x + 13
Slope intercept form:
Slope intercept form the graph of a straight line and it is represented in the form of
y=mx + c
where
m represents the slope of the line
c represents the intercept of the line
Given,
Here we have the line f and g. f is parallel to g.
The equation of f is y = 2x - 5. And the line is passed through the points (-6,1).
Now, we need to find the equation of the line g.
We know that, if two lines are parallel if their slopes are equal and but they have different y-intercepts.
Based on this theory, while we looking into the equation of the line f we have easily identified that the slope of line g is also 2.
Now, we have to find the intercept,
For that, we ahve to apply the point and slope on to the standard form,
Then we get,
1 = 2(-6) + c
1 = -12 + c
c = 13
Therefore, the intercept is 13.
Then the equation of the line g is,
y = 2x +13
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Noah bought `4` tickets and paid `\$103`. What was the cost per ticket?
Answer: 25.75
Step-by-step explanation: 103 divided by 4 = 25.75
If a football team received the ball on the 50-yard line, what represents zero in this situation? _______ because this spot represents neither a gain or loss of yards in the first play. plsss helpp
If the football team started a play on the 50-yard line, gained 7 yards, and then lost 10 yards on the next play, the ball would be on the 47-yard line at the conclusion of the second play.
The 50-yard line is where the start is.
After the opening play, the football team gained 7 yards.
After the first play, the new yard line equals (the starting point) plus (Number of yards gained)
following the conclusion of the first play, the new yard line
If a football team started a play on the 50-yard line, gained 7 yards, and then lost 10 yards on the next play, the ball would be on the 47-yard line at the conclusion of the second play.
After the first play, the new yard line is equal to 50 plus 7.
After the first play, the new yard line is the 57-yard line.
The second play cost the football team 10 yards.
The yard line following the conclusion of the second play equals the yard line following the conclusion of the first play (The number of yards lost)
The new yard line following the conclusion of the second play is 57-10.
47 is the new yard line following the conclusion of the second play.
The second half of the second
47 is the new yard line following the conclusion of the second play.
The ball was on the 47-yard line after the second play when it was over.
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En los juegos olimpicos del 2012 en londres usain bolt gano medalla de oro al recorrer 100 metros en 9.69 segundos cual fue su velocidad ?
Answer:
la respuesta es 10.3199...
Step-by-step explanation:
solo divides 100 por 9.69
how to solve this equation (x2/3)6/5
Answer:
[tex] \frac{2}{5} {x}^{2} [/tex]
Step-by-step explanation:
x²/3(6/5)
=2/5x²
Answer:
[tex]=\frac{4x}{5}[/tex]
Step-by-step explanation:
[tex]\frac{\left(x\frac{2}{3}\right)\cdot \:6}{5}=\frac{4x}{5}[/tex]
Remove parentheses: :3
[tex]=\frac{x\frac{2}{3}\cdot \:6}{5}[/tex]
Multiply [tex]x\frac{2}{3} * 6 : 4x[/tex]
ANd u get
[tex]=\frac{4x}{5}[/tex]
hope thjis helps
~~Wadfads~~
If D = 1 - s² and C = 3 + 3s, find an expression that equals 2D - 3C in standard form.
The expression in standard form can be written as - ( 2s² + 9s + 1 ) .
Given ; D = 1 - s^2
And given C = 3 + 3s
To find : 2D - 3C
Thus we can write it as ;
2 ( 1 - s²) - 3 (3 + 3s )
After opening the brackets we get;
2 - 2s² - 3 - 9s
Thus first we have to look for like terms as here there is a quadratic expression
we get
- 2s² - 9s -1
We can also take the minus sign common and then we will get
- ( 2s² + 9s + 1 )
Thus 2D - 3C when expressed in standard form we get - ( 2s² + 9s + 1 ) .
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Between which two whole numbers is square root of 12?
Which of the two numbers is a better estimate for square root of 12 explain.
Answer:
3 and 4Step-by-step explanation:
square root 12 lies between (square root 9 and 16) so it is between 3 and 4
PLEASE SOLVE QYIVK WILL PUT U AS BRAINLIEST ANSWER
Solve the following problem using your knowledge of systems of linear equations. Bags of chips 4 3 2 Liters of pop 4 2 3 Chocolate bars 6 10 4 Cost $21.00 I $20.88 $13.17 Calculate the unit price of each snack purchased. Let "c" represent the unit cost of the chips Let "p" represent the unit cost of the pop Let "b" represent the unit cost of the chocolate bars
Answer: p=$1.47 c=$1.98 b=$1.20
Step-by-step explanation: Hope this helps!<3
the variance of a sample of 81 observations is 64. calculate the standard deviation. round your answer to two decimals.
The standard deviation is 8.
What is standard deviation?Data dispersion in regard to the mean is quantified by a standard deviation, or. Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high. A measure of a group of values' variance or dispersion in statistics is called the standard deviation. The values tend to be close to the set's mean when the standard deviation is low, while the values are dispersed over a larger range when the standard deviation is high. The dispersion of the data around the mean value is measured by the standard deviation. It might be helpful when comparing data sets that may have the same mean but a different range.
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in the diagram ABC is equal to DEC what is the value of x?
an order from an online bookstore takes at least four weeks to arrive. you ordered some books online nine days ago.
please help!!!!
Answer:
jahajshsisjsjssk sjshejei sjshshisbs
Of 734 students, 442 are taking mathematics. What angle (in degrees) of a circle would show the percent of students taking mathematics? (Round your answer to the nearest whole degree.)
We need to find the angle (rounded to the nearest whole degree) of a circle that would represent the percent of students taking mathematics.
Since a complete turn around the circle has 360º, we have the following proportion:
Number of students Angle
734 360º
442 x
Then, cross multiplying the above values, we obtain:
[tex]\begin{gathered} 734x=442\cdot360\degree \\ \\ x=\frac{442\cdot360\degree}{734} \\ \\ x\cong217\degree \end{gathered}[/tex]Answer: 217º
Answer:
217°
Step-by-step explanation:
The fraction of students taking math is 442/734
we need this same fraction of the 360 degrees in a circle
442/734 * 360 = 217°
Please I really need help
Determine which integers in the set S: {-40, "-10," 20, 40} will make the inequality 1/5 (m - 5) <_ 1/10 (m - 20) false.
S:{-40, -10}
S:{-10, 20}
S:{20, 40}
S:{-40, 40}
The integers in the set S that make the inequality false are 20 and 40, so the correct option is the third one.
Which elements in the set will make the inequality false?Here we have the following inequality:
(1/5)*(m - 5) ≤ (1/10)*(m - 20)
First, let's simplify the inequality:
(1/5)*(m - 5) ≤ (1/10)*(m - 20)
(10/5)*(m - 5) ≤ (m - 20)
2*(m - 5) ≤ (m - 20)
2m - 10 ≤ m - 20
2m - m ≤ -20 + 10
m ≤ -10
So the only solutions are the values of m that are equal to or smaller than -10.
And the set is {-40, "-10," 20, 40}, then the elements of that set that make the inequality false are 20 and 40 (both are larger than -10).
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Find the mean, the median, and the mode(s), if any, for the given data. Round noninteger means to the nearest tenth. (If there ismore than one mode, enter your answer as a comma-separated list. If an answer does not exist, enter DNE.)18,3, 40, 19, 42, 48, 51, 43meanmedianmode(s)
The data are listed in ascending order to be:
[tex]3,18,19,40,42,43,48,51[/tex]MEAN
The mean is the average of a data set. This can be calculated using the formula:
[tex]Mean=\frac{Sum\text{ }of\text{ }numbers}{Number\text{ }of\text{ }Numbers}[/tex]From the question, we can calculate the mean to be:
[tex]\begin{gathered} Mean=\frac{3+18+19+40+42+43+48+51}{8}=\frac{264}{8} \\ Mean=33 \end{gathered}[/tex]The mean is 33.
MEDIAN
The median is the middle of the set of numbers.
The middle terms are 40 and 42. Therefore, the median will be the average of the two numbers:
[tex]\Rightarrow\frac{40+42}{2}=41[/tex]The median is 41.
MODE
The mode is the most common number in a data set.
The modes of the data are 3, 18, 19, 40, 42, 43, 48, and 51.
a) Complete the table of values for y = x² - 2x - 3
-2 -1 0 1
2
3
4
0
X
y
-3
5
Answer:
On worksheet: 5, -3, -4, 0
Step-by-step explanation:
See attached worksheet.
y 12 11 10 9 18 5 NCS A 1 X -12-11-10-9-8-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12 -1 3 ó do & och ich -10 -11 -12
To find out the equation of the line we need two points
so
we take
(1,-3) and (2,-9)
step 1
Find the slope
m=(-9+3)/(2-1)
m=-6/1
m=-6
step 2
Find the equation in slope intercept form
y=mx+b
we have
m=-6
point (1,-3)
substitute
-3=-6(1)+b
solve for b
-3=-6+b
b=6-3
b=3
therefore
y=-6x+3What is the state tax withheld on this W-2? Responses $25,670 $25,670 $2009.04 $2009.04 $1309.17 $1309.17 $567 $567
Answer: The answer is $2009.04
Step-by-step explanation:
I hope this helps.
Jada keeps 175 hair beads in a storage box. She chooses a bead without looking what
color it is, and returns it to the box. She does this severaltimes.
Pink - 7
Green - 8
Red - 10
How many pink beads are in Jadas storage box
The probability of getting a pink bead out of the storage box containing a sum total of 175 beads is 0.1428
As per the question statement, we are supposed to find the probability of getting a pink bead out of the storage box containing a sum total of 175 beads.
It is given that there are 25 pink beads in the storage box.
Probability = Favorable outcome / Total value
Probability = 25/175
Probability = 0.1428
Hence, the probability of getting a pink bead out of the storage box containing a sum total of 175 beads is 0.1428
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Find the value of x b) 3x = 27
3x = 27
3x = 27 x
3x = 27/3
x. = 9
Consider this function.() = -31 + 3Which graph represents the inverse of function ?5XE3*-W.x3-12ZАwDZ
To know the inverse function, we have to change variables of the original function as follows:
[tex]f(x)=y=-3x+3[/tex][tex]x=-3y+3[/tex]Isolating for y:
[tex]x+3y=3[/tex][tex]3y=3-x[/tex]Thus, the inverse function is:
[tex]y=-\frac{1}{3}x+1[/tex]Based on the latter, we can see that the intersection with y -axis = 1, coordinate (0, 1). While the intersection with x - axis = 3, coordinate (3, 0)
Answer: C. Y
Help plssssssssssssssssss
Answer:
2
Step-by-step explanation:
→ Find 2 points
( 3, 5 ) and ( 2 , 3 )
→ Find the change in y coordinates
3 - 5 = -2
→ Find the change in x coordinates
2 - 3 = -1
→ Divide y by x
-2 ÷ -1 = 2
5 miles in 1 and 1/2 hours
Using fractions, The faster one is : Robert
Describe fraction.A fraction, which also symbolizes a piece of a whole, is a mathematical symbol for any number of equal parts. A fraction, such as one-half, eight-fifths, and three-quarters, denotes the number of components of a specific size when used in conversational English.
By converting the incorrect fraction, produce an appropriate fraction.
Jocab travels 5 miles in 1 1/2 hours; therefore, 1 1/2 hours is 3/2 hours in minutes, or 3/2 x 60 minutes.
Robert: Three miles in seventy-five minutes = forty-five minutes.
If Robert runs 3 miles in 45 minutes, he completes 6 miles, as opposed to Jocab's 5 miles in 90 minutes.
Robert thus moved more quickly than Jocab.
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$2,300 at 7% interest for 9 years. What would the interest be?
We want to find the simple interest accrued on $2,300 at 7% interest for 9 years.
The formula for simple interest is given as;
[tex]I=\frac{P\times R\times T}{100}[/tex]Inserting the values, we have;
[tex]I=\frac{2300\times7\times9}{100}=\text{ \$1449}[/tex]Therefore, the interest is $1449
