Answers
Step-by-step explanation:
mean value : the sum of the measurements of all 10 plants divided by 10 (the number of measurements).
A)
since the 2 measurement errors are compensating each other in the sum of measurements (-5 cm vs. +5 cm), the sum stays the same, the number of measurements stays the same (10), so the mean value stays the same (72 cm).
B)
the mean absolute deviation was the mean value of the absolute values of the differences of each measurement to the plant measurements.
since the mean value stayed the same, so did the difference of the 8 originally correct measurements to that mean value.
the only change is with the 2 corrected measurements.
the original (but wrong) measurement of 65 had a difference of 7 (to 72).
and now it is only 2 (70 to 72).
and the other one had a difference of 6 (72 to 78).
and now it is only 1 (73 to 72).
so, the sum of all the differences decreased by (7-2) + (6-1) = 5 + 5 = 10.
we had originally a mean absolute deviation of 8.5. the sum of all 10 original differences was therefore 8.5×10 = 85.
now this sum went down to 85-10 = 75.
and the new mean absolute deviation is 75/10 = 7.5.
Related Questions
If f(x) = 5x, what is ƒ¹ (x)?
Answers
Answer:
15,625
Step-by-step explanation:
If f(x) = 5x then f ¹ you must label all numbers in the equation to make it easier, once done you will have 25(5¹)=125¹
125x125=15,625
The inverse function of the given function is x/5.
What is inverse function?Inverse function is represented by f⁻¹ with regards to the original function and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
Given that, f(x)=5x
Now, y=5x
Replace x by y and y by x, we get
x=5y
y=x/5
and f⁻¹(x)=x/5
Therefore, the inverse function of the given function is x/5.
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IMPORTANT HELP PLEASE ANSWER IMMEDIATELY!!!!!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the following equation. Show all your work.
(x/(x−2))+((x−1)/(x+1))=−1
Answers
Answer:
Step-by-step explanation:
Please show me how you got this answer [tex]\sqrt{18a^2}*4\sqrt{3a^2}[/tex]
Answers
Answer:
Step-by-step explanation:
Comment
18 factors into 2 * 3 * 3
Both factors have an a^2 under the root sign. The rule for that is take 1 a outside the root sign and throw the other one away.
The same rule applies to the two 3s that factor 18.
What you get is
3a√2 * 4*a*√3
Answer 12a^2 √2 * √3
Answer: 12a^2 * √6
PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answers
Answer:
35.9 degrees
Step-by-step explanation:
the arctan of 0.724 is 35.9 degrees
[tex]f(n)=3^n[/tex]
find expressions for [tex]f(n+3)[/tex] and [tex]f(n+1)[/tex]
hence find the value of [tex]k[/tex] such that [tex]f(n+3)-f(n+1)= kf(n)[/tex] where k ∈ N
Answers
Answer:
[tex]24(f(n))[/tex]
Step-by-step explanation:
[tex]f(n+3) = 3^{n+3}\\f(n+1) = 3^{n+1}[/tex]
so
[tex]f(n+3) - f(n+1) = 3^{n+3} - 3^{n+1}[/tex]
[tex]= 27(3^n) - 3(3^n)[/tex]
[tex]= 24(3^n)[/tex]
[tex]= 24(f(n))[/tex]
hope this helped! :)
What is the median of this data set?
{12, 8, 9, 12, 10, 13,8}
Enter your answer in the box.
Answers
12, 8 , 9,12,10,13,8
Arranging in ascending order,
8,8,9,10,12,12,13
Median = 10
Answer:
10
Step-by-step explanation:
sin(-17pi/6)
How do I solve this
Answers
Answer:
if you have a graphing calculator you can just plug the whole equasion in. the anser I got was -0.1547307191
Step-by-step explanation:
to get pie you have to hit second and then ^
What is text structure in non-fiction?
A.the table of contents
B.how the text is organized
C.illustrations and captions
D.the glossary
Answers
Answer:
B. because of the structure in a non fiction would be how the text is organized and words that are used
Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.
Answers
Answer:
a) None
b) (0, -2)
Step-by-step explanation:
The x-intercept is the point at which the line cuts through the x-axis, while the y-intercept in the point at which the line cuts through the y-axis.
a) The line does not cut through the x-axis, thus it has no x-intercept.
b) The line cuts through the y-axis at y= -2, making its y-intercept (0, -2).
HELP PLEASE!!
5⁸/5³=
a. 5^-5
b. 1¹¹
c. 5⁵
d. 5 ¹¹
Answers
Answer:
C
Step-by-step explanation:
[tex] \frac{ {5}^{8} }{ {5}^{3} } \\ [/tex]
Now you may reduce the fraction
[tex] = {5}^{5} [/tex]
ou toss a coin (heads or tails), then spin a three-color spinner (red, yellow, or blue). Complete the tree diagram, and then use it to find a probability.
1. Label each column of rectangles with "Coin toss" or "Spinner."
2. Write the outcomes inside the rectangles. Use H for heads, T for tails, R for red, Y for yellow, and B for blue.
3. Write the sample space to the right of the tree diagram. For example, write "TY" next to the branch that represents "Toss a tails, spin yellow."
4. How many outcomes are in the event "Toss a tails, spin yellow"? (1 point)
5. What is the probability of tossing tails and spinning yellow? (1 point)
Answers
The tree diagram that represents the events is an illustration of probability and combination
The tree diagramTo draw the tree diagram, we make use of the following representations:
H for heads, T for tails, R for red, Y for yellow, and B for blue.See attachment for the tree diagram.
The sample space and the outcomesFrom the tree diagram, the sample space is as follows:
S = {HR, HY, HB, TR, TY, TB}
The number of outcomes that represents "Toss a tail, spin yellow"This is represented as: TY
From the sample space above, we have:
TY = 1
Hence, the number of outcomes that represents "Toss a tail, spin yellow" is 1
The probabilityWe have:
TY = 1
Sample size = 6
Hence, the of tossing tails and spinning yellow is 1/6
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What additional information do you need to prove the triangles are congruent by SAS
Answers
Answer:
Step-by-step explanation:
HELP ASAP PLSSSSSSS
Clara surveyed the students at her school to find out if they like pies and/or sandwiches. The results of her survey are shown in the two-way table below:
Like Pies
Do Not Like Pies
Total
Like Sandwiches
25
43
68
Do Not Like Sandwiches
26
6
32
Total
51
49
100
If a student does not like sandwiches, what is the probability that student also does not like pies?
81.3%
26.0%
23.1%
18.8%
Answers
Answer:
18.8%
Step-by-step explanation:
For calculating this, focus on one part of the table :
The row where students do not like sandwichesThere are 32 students who do not like sandwiches, and 6 of them do not like pies. Take this a proportion :
P (does not like pies, do not like sandwiches) = 6/32P = 3/16P = 18.8%Students who don't like sandwiches also don't like pie is the 2 nd box on 2 nd line
Probability
P(E)=6/32P(E)=6/32×100=3/16×100=18.8%Option D
please help me on this you will get alot of point and brainliest
Answers
Answer:
0.8 miles
Step-by-step explanation:
Answer:
5.2 miles
Step-by-step explanation:
Airport to Arcadia is one leg of right triangle = x
Airport to Stafford is leg2 of right triangle = 7.6
9.2 miles is hypotenuse of right triangle
Pythagorean theorem:
x^2 + 7.6^2 = 9.2^2
x = ~ 5.2 miles
tim has 4 quarters and 5 pennies. how many cents does tim have?
Answers
Answer: $1.05
Step-by-step explanation:
quarters= 25 cents
4 x 25=100 cents
pennies=1 cent
5 x 1 = 5 cents
100+5=$1.05 or 105 cents
Alejandro was picked by this teacher to find the integer that has the square root closest to 7, without going over. he wrote 52 on the bored. was he correct? explain your reasoning.
Answers
Considering that the square root of 49 is 7, and 52 > 49, Alejandro was not correct, as the correct integer is of 48.
What is the integer that has the square root closest to n, without going over?The integer that has square root n is given by:
S(n) = n².
Hence the closest is given by:
C(n) = n² - 1.
In this problem, we have n = 7, hence:
C(7) = 7² - 1 = 48.
Which means that Alejandro was not correct.
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A bag contains 3 red and 5 green sweets.
Tim takes a sweet at random and eats it.
He then takes another sweet.
Find the probability that Tim takes 2 red sweets
Answers
Answer:
1/7
make sure to remember to remove a sweet when you take the second one, as it has been eaten.
chef johnson used 4 1/2 of flour to make 4 fruitcakes. How many cups of flour are needed for 1 fruitcake
Answers
Answer:
1 1/8 cups of flour
Step-by-step explanation:
hi!
If Chef Johnson needs 4 1/2 cups of flour to make 4 fruitcakes and he wants to make one, he has to divide the recipe by 4. 4 1/2 / 4= 1 1/8
Solve for d -6 = d/3
Answers
Answer:
-18
Step-by-step explanation:
Peter is planting a rectangular garden. The length is 15 yards longer than the width. Jorge is planting a square garden. The sides of Jorge's garden are equal to the width of Peter's garden. What is the ratio of the area of Peter's garden to the area of Jorge's garden? Use this ratio to find the ratio of the areas if the width of Peter's garden is 32 yards.
x + 32/x ; 32/15
x-32/x ; 32/15
x+15/x ; 47/32
x-15/x ; 47/32
Answers
If the width of peter's garden is 32 yards, the ratio of the areas is 47: 32
Area of a rectangle.area of rectangle = lw
where
l = lengthw = widthTherefore,
Peter rectangular garden
l = 15 + xJorge is planting a square garden. The sides of Jorge's garden are equal to the width of Peter's garden.
Therefore,
x = side of Jorge gardenThe ratios are as follows;
(15 + x)x : x²
Therefore, if the width of peter's garden is 32 yards, the ratio of the areas is as follows:
(15 + 32)32 : 32²
1504: 1024
752: 512
376: 256
94:64
47: 32
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Answer:
(x+15)/x; 47/32
Solve the equation using square roots: x2 -81=0
Answers
Hi Student!
This question is pretty straight-forward because it is asking for us to solve to equation using square roots. We don't need to find any important information as this problem is pretty simple. We just need to use some algebra to move numbers around and we will get our answer.
Add 81 to both sides
[tex]x^2 - 81 = 0[/tex][tex]x^2 - 81 + 81 = 0 + 81[/tex][tex]x^2 = 81[/tex]Square root both sides
[tex]\sqrt{x^2} = \sqrt{81}[/tex][tex]x = \pm9[/tex]Therefore, after solving for x we were able to determine that the solutions that we have for this equation are both 9 and -9. If we want to test this we can plug in the values into x and we would see that both 9 and -9 would produce the same results as negatives don't matter when we are squaring numbers.
Sarah is selling brackets and earrings to make money for summer vacation. She earns $2 from each bracket and $3 from each pair of earrings. She needs to make at least $210 what possible combination of brackets and earrings that Sarah can sell to reach her goal
Answers
Answer:
$16 dollars because I got it right
Solve the equation.
7x2 + 5 - x = 6x2 + 10
X =
20
It
Answers
Answer:
1 +√21 + 1 - √21
2 2
Step-by-step explanation:
A 10% increase in cigarette prices has been found to result in a _____ decrease of smokers. a. 2% b. 4% c. 10% d. 20% please select the best answer from the choices provided. a b c d
Answers
A 10% increase in cigarette prices has been found to result in a 4% decrease of smokers.
What is the effect of price increase in the demand for cigarettes?An increase in cigarette price will result in a decrease in the demand for cigarettes.
Since more money needs to be spent to but the same product, less consumers can be able to afford it.
Therefore, a 10% increase in cigarette prices has been found to result in a 4% decrease of smokers.
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The base of a ladder is placed 2.8m away from a tree that is 4.5m tall. The end of the ladder touches the top of the tree. Calculate the length of the ladder.
Answers
Answer:
The length is 7.3m
Step-by-step explanation:
The end of the ladder touches the top of the tree when kept at 2.8m away from the tree.
The Tree is 4.5m tall
The length of the ladder will be: 2.8+4.5 = 7.3
The figures below are similar. What is v?
Answers
Answer:
v = 16 mm
Step-by-step explanation:
since the figures are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{v}{20}[/tex] = [tex]\frac{28}{35}[/tex] ( cross- multiply )
35v = 560 ( divide both sides by 35 )
v = 16
Mason has a business selling perfume at the mall. Currently his business has a
balance of -$20.
Which amounts of sales would give Mason's business a positive balance?
Choose ALL that apply.
$15 $35 $21 $29 $30 $19
Answers
Answer:
21, 29, 30, 35
Step-by-step explanation:
anything greater than 20 would break even and then give a position balance
Sela is making 400 scones.
she use butter ,sugar and flour in the ratio 2:1:9
here the cost of those ingredients
butter-2.50 per 500g
sugar-1.60 per kilogram
flour-60p per 1.5kg
the total mass of the butter ,sugar and flour in each scone is 30g
work out the total cost of these ingredients for the 400
scones
Answers
Answer:
£15.20
Step-by-step explanation:
butter : sugar : flour = 2 : 1 : 9
Total mass for 1 recipe = 30 g
2 + 1 + 9 = 12
12x = 30
x = 30/12
x = 2.5
For 1 scone:
butter = 2x = 2(2.5) g = 5 g
sugar = x = 2.5 g
flour = 9x = 9(2.5) g = 22.5 g
Cost for 1 scone:
butter: 5 g × £2.50/(500 g) = £0.025
sugar: 2.5 g × £1.60/(1000 g) = £0.004
flour: 22.5 g × £0.6/(1500 g) = £0.009
Cost for 1 recipe = £0.025 + £0.004 + £0.009 = £0.038
Cost for 400 scones = 400 × £0.038 = £15.20
Answer: £15.20
Solve:
2x-1/x+4 is greater than or equal to 0
Answers
The solution range of the given inequality is (-∞, -4.121) and (0.121,∞)
How to solve the inequality?
Here we want to solve:
[tex]2x - 1/(x + 4) \geq 0[/tex]
To solve this, we multiply both sides by (x + 4) so we get:
[tex]2x*(x + 4) - 1 \geq 0\\\\2x^2 + 8x - 1 \geq 0[/tex]
Now we can solve it graphically, below we have:
There we can see that the solution range is (-∞, -4.121) and (0.121,∞), the regions where the graph is equal or above the horizontal axis.
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Simplify.
4(v-5)-7v pls help quick
Answers
Answer:
-3v-20
Step-by-step explanation:
