At a middle school science fair, all the science fair projects used mathematics, but only
30% of the projects display the mean or the median. 27% of all the science fair projects
display the mean and 16% of all the science fair projects display the median.
1. Apply the addition rule,
P(mean or median) = P(mean) + P(median) P(mean and median)
to find the probability that a randomly selected project at this science fair displays
the mean and the median. Be sure to show your work and write 2-3 sentences
explaining how you found your answer
2. Tommy made the Venn diagram below of this situation
Pls help ASAP !!!
Answers
The values of X and Y as obtained from the Venn diagram given are :
X = 0.13 Y = 0.70P(mean or median) = 30%
According to the addition rule :
P(mean or median) = P(mean only) + P(median only ) P(mean and median) 30% = (14% + 3% + X) 30% = 17% + X X = 30% - 17% X = 13%X = probability that a randomly selected project displays the mean and the median. Y is the probability that a randomly selected project does not display either the mean or the medianThis is 1 - P(mean or median) Y = 1 - 0.3 = 0.7Therefore, the value of X in the venn diagram is 0.13 and the value of Y is 0.70
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Related Questions
10
2
Miles
у
210
180
150
120
90
60
30
0
0 0.5 1 1.5 2 2.5 3 3.5
40
40
To
Hours
Answers
Answer:
22
Step-by-step explanation:
He’s asking which number is not supposed to be there
Answers
Answer:
65
Step-by-step explanation:
They all between 9
Answer:
the answer is 65......
Determine whether the underlined value is a parameter or a statistic.
Following the election, 18 % of the governors of all 50 areas of a country were female.
Is the value a parameter or a statistic?
Answers
The given numerical value is a Statistic.
Parameters are numeric values that characterize the population as a whole. A statistic is a number that describes the characteristics of a sample.
For example, median income in the United States is a demographic parameter. Conversely, the median income for the US sample is a sample statistic. Both values represent median income, but one is a parameter to the statistic. Easy to remember parameters and stats! Both are summary values that describe the group, and have a convenient mnemonic device to remind you which group is being described. Notice their initials.
Parameter = Population
Statistics = Sample
A population is the entire group of people, things, animals, trades, etc. that are being studied. A sample is part of a population.
Following the election, 18 % of the governors of all 50 areas of a country were female.
Given that, 18% of the 50areas of a country were females.
Now,
18*50/100 = 9
Since it is a perfect number
The given numerical value is a statistic.
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What is the length of the rectangular plot of land shown? Use pencil and paper. How are the lengths of the legs of a right triangle related to the lengths of the sides of a rectangle?
Answers
The length of the rectangular plot of land is 168 ft.
To find the length of the rectangular plot of land, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In the given diagram, we can see that the plot of land forms a right triangle, where the length of one leg is 874 ft and the length of the diagonal is 890 ft. Therefore, the length of the rectangular plot can be found as follows:
\(h^2 = a^2 +b^2\\b^2 = h^2 - a^2\\b = \sqrt{h^2-a^2} \\b= \sqrt{(890)^2- (874)^2}\\ b= \sqrt{792100- 763876}\\ b= \sqrt{28224}\\ b= 168\)
So, the length of the rectangular plot of land is 168 ft.
The lengths of the legs of a right triangle are related to the lengths of the sides of a rectangle in the following way:
If we draw a rectangle with sides of length "a" and "b", then the diagonal of the rectangle (which is the hypotenuse of the right triangle formed by the sides of the rectangle) will have a length equal to the square root of (\(a^2 + b^2\)).
Conversely, if we have a right triangle with legs of length "a" and "b", then we can form a rectangle by making the legs of the triangle the sides of the rectangle. The length of one side of the rectangle will be "a" and the length of the other side will be "b".
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I WILL NAME THEE BRAINLIEST!! (: PLZZZZZ HELP ASAPPPPP Solve for the unknown. Check your answer by substituting it in the original equation.
-A - 22 = -2A - 30 solve and check
Y - 12 = 2Y - 4 solve and check
Solve. Convert improper fractions to mixed numbers. Simplify your answers if possible. 1/4 x 4/5=
7/10 x 1/2=
3/4 x 9/10=
Answers
Step-by-step explanation:
1. -A-22=-2A-30
= -A+2A=-30+22
=A= -8
2. Y-12=2Y-4
=Y-2y=-4+12
-Y= +8
or Y = -8
1/4×4/5
4 cancels 4 which gives=1/5
7/10×1/2
= 7/20
3/4×9/10= 27/40
Evaluate the function, f(x) = 3x + 1, for f -2/3
3
7
-1
-5/9
Answers
Answer:
To find the inverse, interchange the variables and solve for
5. The largest mosaic in the world is on the walls of the central library of the
Universidad Nacional Autonoma de Mexico in Mexico City. The mosaic depicts
scenes from the nation's history and covers an area of 4000 m2. If the entire
mosaic were on one square wall, what would the dimensions be? Estimate your
answer to the nearest whole number and then use your calculator to get the
length to the nearest HUNDRETH.
Answers
Answer:
63.25mStep-by-step explanation:
The area of the square wall = L² where;
L is the length of the wall.
Given
Area of the mosaic = 4000m²
Substitute into the formula and get L
4000 = L²
Square root both sides
√4000 = √L²
√4000 = L
Rearrange
L = √4000
L = 63.25m (to the nearest hundredth)
Hence the length to the nearest hundredth is 63.25mThe numerator of a fraction is 18 and the denominator is 8. All of the following numbers are equivalent
except:
A- 9/4
B- 2 1/4
C- 36/16
D- 6/4
Answers
The fractions in the options are equivalent to the fraction 18/8, except the option
D; 6/4
What is a fraction?A fraction is a representation of a part of an item, by the expressing the proportion consisting of a numerator, divided by a numerator, between which is the divisor bar.
The fraction is; 18/8
Therefore, we get; 18/8 = (2 × 9)/(2 × 4)
The like terms indicates that we get;
(2 × 9)/(2 × 4) = 9/4
Therefore; 18/8 = 9/4
The above fraction is an improper fraction, therefore, we get;
9/4 = (2 × 4 + 1)/4 = 2 1/4
However; 18/8 = (2 × 18)/(2 × 8) = 36/16
Therefore, the numbers in the options A, B, and C are equivalent to the fraction 18/8
The fraction 6/4 is not equivalent to the fraction 18/8
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while holding her cat, Mya steps on a scale, the scale reads 127 pounds. Alone, Mya weighs 112 pounds. Write an addition equation to find the weight of Mya's cat.
Answers
Answer:
127+(-112)=15
Step-by-step explanation:
If you subtract 112 from 127, you can find the difference. Since 112 is Mya's weight, and the total is 127, we need to find out how much weight is left over after we take away Mya's weight, which would be the cat's weight. So if you follow the expression, which is 127+(-112), you would get a sum of 15 pounds. Since this is an addition problem, the expression would be 127+(-112) instead of 127-112. I hope you understand. The difference between 127 and 112 is the cat's weight, so the cat weighs 15 pounds.
A family has two cars. During one particular week, the first car consumed 35 gallons of gas and the second consumed 20 gallons of gas. The two cars drove a
combined total of 1575 miles, and the sum of their fuel efficiencies was 60 miles per gallon. What were the fuel efficiencies of each of the cars that week?
Note that the ALEKS graphing calculator can be used to make.computations easier.
First car: miles per gallon
Second car: miles per gallon
Answers
Solving a system of equations we will see that the efficiency of the first car is 25 miles per gallon, and the one of the second car is 35 miles per gallon.
How to find the fuel efficiencies?Let's define the variables:
x = fuel efficiency of the first car.
y = fuel efficiency of the second car.
We know that the sum is equal to 60 miles per galon, thus:
x + y = 60
We also know that the he first car consumed 35 gallons of gas and the second consumed 20 gallons of gas. The two cars drove a combined total of 1575 miles, this can be written as:
35x + 20y = 1575
Then we have a system of equations:
x + y = 60
35x + 20y = 1575
We can isolate x on the first equation to get:
x = 60 - y
And substitute that in the other equation:
35*(60 - y) + 20y = 1575
2100 - 15y = 1575
2100 - 1575 = 15y
525/15 = y
35 = y
And x = 60 - y = 60 - 35 = 25
These are the efficiencies.
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What is this super hard equation in my 2nd grade state test : 1 + 1 x 1 / 1?
Answers
Answer:
2
Step-by-step explanation:
The order of operations is:
Parentheses
Exponents
Multiply
Division
Addition
Subtraction
1 + 1 * 1 / 1 =
1 + (1 * 1) / 1 =
1 + 1 / 1 =
1 + 1 =
2
-------------------------------------------------------------------------------------------------------------
Hope this helps :)
(6x – 2y – 5) – (-5y + 4y - 8x)
Answers
Answer:
thx
Step-by-step explanation:
Answer:
14x - y - 5
Step-by-step explanation:
what are all the values of c that will make x^2 cx 121 a perfect square ?
Answers
Answer:
c = -22, 22
Step-by-step explanation:
\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)
\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)
Choose all the numbers that are common multiples of 3 and 12.
21
27
48
63
72
81
844
Answers
=========================================================
Explanation:
The number 12 is a multiple of 3 because 3*4 = 12.
So when looking for common multiples of 3 and 12, we simply need to look at multiples of 12.
The multiples of 12 are:
12, 24, 36, 48, 60, 72, 84, 96, 120, ...We see that 48 and 72 are on the list. The values 21, 27, 63, 81 are not on the list, so cross them out.
Now we could keep that list of multiples going to see if 844 is on there or not. A better method is to divide 844 over 12. If we get a whole number, then it's a multiple of 12.
844/12 = 70.333 approximately.
This shows that 844 is not a multiple of 12. So we cross 844 from the list.
Only 48 and 72 are multiples of 12 (and also multiples of 3).
during a card game you are playing with your friends you score 38 points your friend scores 53 points in the next round you score 9 points and your friend loses 6 points who is winnings the card game?
a. your friend
b. you
c.it is a tie
Answers
Answer:
b
Step-by-step explanation:
A line passes through the points (-2, 8) and
(5,-20). Which points lie on the same line?
Select all that apply.
(-6, -2)
(-3, 12)
(4, 16)
(0, 6)
(-1, 4)
(7,5)
Answers
The points that lies on the same line are (-3, 12), and, (-1, 4).
Here, we have,
The given coordinate points are (-2, 8) and (5,-20).
Here, slope (m)= 8+20/-2-5
= 28/-7
=-4
Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get
8 = 8+c
or, c = 0
So, the equation of a line is y= -4 x
Now,
(-6, -2) in the given equation is -2=-4 (-6)
-2≠ 24
(-3, 12) in the given equation is y= -4 x
12 = 12
(4, 16) in the given equation is y= -4 x
16 ≠ -16
(0, 6) in the given equation is y= -4 x
6 ≠ 0
(-1, 4) in the given equation is y= -4 x
4 = 4
(7,5) in the given equation is y= -4 x
5 ≠ -28
Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).
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Use long division to divide.
691 ÷ 9
Answers
Answer ⇒
= 76
Step - By - Step Explanation ⇒
It is not easy to write long division on a laptop as it paper, so I have attached an image from a calculator that I found online.
A circular drum has a radius of 4.2m and a height of 3.5m. How many full
bags of wheat can be emptied if the space required for one wheat bag is
5.39m³.
Answers
he volume of the drum can be calculated as follows:
Volume of drum = πr²h
= π(4.2m)²(3.5m)
≈ 246.33 m³
To find out how many full bags of wheat can be emptied into the drum, we need to divide the volume of the drum by the volume of one wheat bag:
Number of full bags of wheat = Volume of drum ÷ Volume of one bag
= 246.33 m³ ÷ 5.39 m³
≈ 45.72
Therefore, the circular drum can hold approximately 45 full bags of wheat.
Answer: 45 Full of bags.
Step-by-step explanation:
The volume of the drum can be calculated using the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.
V = π(4.2m)^2(3.5m)
V ≈ 246.73 m³
To find out how many bags of wheat can be emptied into the drum, we need to divide the volume of the drum by the space required for one bag:
246.73 m³ ÷ 5.39 m³/bag ≈ 45.81 bags
Since we can't have a fraction of a bag, we need to round down to the nearest whole number:
Number of bags = 45
Therefore, 45 full bags of wheat can be emptied into the drum.
Arjun begins the calendar year with $4000 in his bank account. he earns 9% simple interest annually. after how many years will the valance of the account be $6500?
Answers
The number of years that it will take for the Valence of the account to be $6500 = 6.9 years
What is annual simple interest?Annual simple interest is defined as the amount of money that is being paid to an individual who invested a specific amount of money for a period of time.
The principal amount = $4000
The rate for earnings= 9%
The simple interest= $6500 - 4000 = 2500
Time = X
Using the formula:
Simple interest = P ×T×R/100
Make T the subject of formula;
T = Simple interest × 100/ P × R
T = 2500 × 100/ 4000× 9
T = 250000/36000
T = 6.9 years
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7 is added to a number. The result is divided by 3. This result is then added
to 15 to make 42. What is the number?
Answers
Answer:
The number is 74.
Step-by-step explanation:
15+(\(\frac{x+7}{3} \))=42
42-15 = (x+7)/3
27(3) = x+7
81 - 7 = x
x = 74
Divided 500g into the ratio 2 3
Answers
Answer:
]1:2:3:5]
Step-by-step explanation:
I'm not sure
divide 500 by 2/3
3. The relation shown below
represents the
temperature, in degrees Celsius, of the air
a certain number of hours after noon on a
winter day. Is the temperature a function of
time? Explain.
(2, -1), (1, -6), (6, -3), (4, -7)
Answers
The temperature is a function of time, as there is a single temperature for each instant of time.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
For the set in this problem, we have that:
An input of 2 is mapped to an output of -1.An input of 1 is mapped to an output of -6.An input of 6 is mapped to an output of -3.An input of 4 is mapped to an output of -7.As there are no repeated inputs, the temperature is in fact a function of time.
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Rapid Rental Car charges a $35 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital
Cars charges $40 for rental and gas and $0.35 per mile.
Part 1 out of 2
For how many miles is the rental cost at both companies the same?
The rental costs at both companies are the same at____ Miles.
Answers
40+15+0.25x=45+0.35x
10 =0.1x
x=100
The mile is 45+0.35*100= 80 or 40+15+0.25*100 =80
eighteen obese volunteers weighed themselves before and after a two-day fast. the appropriate design for testing the significance of the difference between the means is
A. Independent sample T test
B. Dependent sample T test
C. One sample T test D. Z test
Answers
Option C, A associated samples t-test is the best method for determining the importance of the mean difference.
The weight of an individual before and after a two-day fast is the two variables in this situation.
To use the t-test on paired data, the given observations must be related. Using the variations between the two sets of data, we calculate the test statistic. The degree of freedom for this test is n 1, where n is the overall number of observations.
If the standard deviation is provided and the sample size is large, the statistical hypothesis known as the Z-test is employed to assess if the two samples' computed means are different. The T-test, in contrast, evaluates how averages from distinct data sets differ when the variance or standard deviation is unknown.
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Savannah has a package of 20 candies with an equal number of candies colored white, blue, orange, purple, and yellow. If Savannah selected a yellow candy the first time, what is the
probability that she will randomly select, without replacement, another yellow candy?
A 3/19
B 1/5
C 4/19
D 1/4
Answers
Answer:
A 3/19
Step-by-step explanation:
There are 4 candies of each color. If you take out one yellow, you not only have three yellows; you have 19 candies. 3/19 is the answer.
Answer:
3/19
Step-by-step explanation:
There is an equal number of colored candies, in which there are 20 candies in all, and 5 colors:
20/5 = 4
Each color has 4 candies.
Savannah was able to obtain a yellow candy, and she does not replace it:
4/20 removing one yellow candy = 3/19
A) 3/19 is her chance of getting another yellow.
PLEASE HELP MY SOULLLLL
please answer these (please show a little work not alot is needed just some but, feel free to put more) plz put the question number next to the answer if you put it as text if you just edit the pictures then ignore then don't mind it
Answers
Answer:
I will help ur soul
Step-by-step explanation:
Do u need the work as well?
A tv show had 3.6 x 104 viewers in the first week and 4.1 x 104 viewers in the second week. determine the average number of viewers over the two weeks and write the final answer in scientific notation. 3.85 x 104 7.7 x 104 3.85 x 108 7.7 x 108
Answers
The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C
Scientific notationFirst week = 3.6 x 10⁴Second week = 4.1 x 10⁴Average number of viewers over the two weeks = (First week + Second week) / 2
= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2
= {3.6 + 4.1 × 10^(4×4) } / 2
= (7.7 × 10^16) / 2
= 3.85 × 10^8
Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.
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the radius of a ball was measured and found to be 25 \text{ cm} with a possible error in measurement of at most 0.01 \text{ cm}. what is the maximum error in using this value of the radius to compute the volume of the ball?
Answers
The maximum error in volume of ball is ± 235.619 cm³
What is maximum error?The margin of error, also known as the maximum error of estimation, is equal to one-half the breadth of a confidence interval and serves as a measure of how accurate an estimate is.
The formula for the confidence limits on can be written as follows: where is half of the confidence interval's breadth.
Volume of ball is given by:
V = (4/3)πr³
Change in volume (ΔV) = (4/3)π × 3r² (Δr)
= 4π × 3r² (Δr)
= 4π × 3* 25² (±0.01)
= ± 235.619 cm³
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Four points are plotted on the number line. Complete
the statements to identify the location of each point.
x
Point
v is located at 2.5
A B
с
D
Point
v is located at 1
1
Point
v is located at 4
O
1
2.
3
Point
✓ is located at
Answers
The position of the numbers in ascending order are -6, 0, 3 and 4
Number linesNumber lines are used to represent numbers at a constant interval
Number representation
From the given number line (see attachment), we have the following highlights
The numbers are represented with letters A through DLetter A is 6 points to the left of letter BLetter B is at point 0 (the origin)Letter C is 3 points to the right of BLetter D is 1 point to the right of CThe above highlights mean that:
\(B = 0\)
\(A =B-6\)
\(A =0-6\)
\(A =-6\)
\(C =B + 3\)
\(C =0 + 3\)
\(C =3\)
\(D = C + 1\)
\(D = 3 + 1\)
\(D = 4\)
Hence, the location of the numbers in ascending order are -6, 0, 3 and 4
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Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft.
a. What value can be used to represent the water's surface?
Answers
27 ft. can be used to represent the water's surface if the platform is 15 ft. above the pool surface and the pool has a depth of 12 ft.
As Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft. then, and the total height of the water surface is, the total hight,
The total height = distance between pool surface to platform + the depth of the pool
∵ The total height = 15 ft. + 12 ft.= 27 ft.
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