Answer:
Step-by-step explanation:
10+18+25+27+35+50=165
n=6
mean =165/6=27.5
x x- mean (x-mean)²
10 -17.5 306.25
18 -9.5 90.25
25 -2.5 6.25
27 -0.5 0.25
35 7.5 56.25
50 22.5 506.25
_____ ________
sum 0 965.5
_____ _________
standard deviation
\(=\sqrt{\frac{sum}{n-1} } \\=\sqrt{\frac{965.5}{5} } \\=\sqrt{193.1} \\\approx 13.896\)
Solve these 2 problems please
Answer:
7 and 10
3 - 7 is -4
1- + 10 is 9
Answer: 8 degrees
Step-by-step explanation:
3-2-1-0-1-2-3-4
Judy had 2 chickens at her farm during the first week.At the end of the second week,she had 4 chickens.At the end of the third week,she had 8.If this pattern continues,how many chickens will be there at her farm by the end of the fifth week.?
Answer:
64
Step-by-step explanation:
your doubling the answer so
2+2=4. >first week
4+4=8. > second week
8+8=16. > third week
16+16=32. > fourth week
32+32=64 > fith week
find the zeros of the function: f(x)=3x^2-5x+3
Answer:
x = 5 ± i √ 11 /6
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x .
Combine like terms to simplify the following polynomial.
5a²b+7ab² +9c+ 11a²b-3ab² - 9c
Answer:
5a²b + 7ab² + 9c + 11a²b - 3ab² - 9c
= (5a²b + 11a²b) + (7ab² - 3ab²) + (9c - 9c)
= 16a²b + 4ab²
Question is below ( explanation)
To find the rate, you must divide the distance traveled by the time it took.
17.5 m is the distance while time it took was 5 seconds.
So,
17.5 ÷ 5 = 3.5 m/s
The rate of the anchor is 3.5 m/s
Note: I did not ignore the negative sign in the distance but rather acknowledged it as a magnitude. This meant that the anchor was dropping down instead of going up.
During surgery, patient's circulatory system requires at least 50 milligrams of an anesthetic: The amount of anesthetic present hours after 70 milligrams of anesthetic administered given by the following T(t) 70(0.727)t (a) How much, to the nearest milligram, of the anesthetic is present in the patient's circulatory system 30 minutes after the anesthetic is administered? (b) How long_ to the nearest minute can the operation last if the patient does not recelve additional anesthetic?
63 mg of anesthetic is present in the patient’s circulatory system.
The operation can last for 20 minutes.
During surgery, a patient’s circulatory system requires at least 50 mg of an anesthetic. The amount of anesthetic present t hours after 70 mg of anesthetic is administered is given by the following,
T(t) = 70 × (0.727) ^t
Time = 1/3 hours
T (1/3) = 70 × (0.727) ^1/3
= 70 × ∛ 0.727
= 70 × 0.899176
= 62.94232
To the nearest mg: 63mg
Now,
63 = 70 × (0.727) ^t
63/70 = (0.727) ^t
0.9 = (0.727) ^t
Log0.9 = log (0.727) ^t
Log0.9 = t × log (0.727)
T = log0.9 / log0.727
T = 0.330461
T = 0.330461 hours
= 20 minutes
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Somebody knows how to do that?
Answer:
p(g) (85 if 3g)
p(g) (135 if 3g)
p(g) (195 if 6g)
lets move p fwd so that 3+3+2 = 8
8 games = 3(85) + 3(135) + 2(195)
= 255 + 405 + 390
= 1050 yards
Statement would be something like > more than 1000 or designed around a division as proof to prove average or mean per game = 1050/8 = 131.25 mean or even the range 405-255 = 150 range whilst the median would be 135
Last question asks '' How many games has James played when he has scored 85 yards? '' The answer would be 1 game can be shown as g or 1g.
Let me know what the statement choices are and I'd be happy to help.
Step-by-step explanation:
Please review the following sets of sentences and select the one that contains filler.
A. This Star Wars LEGO set has 305 pieces and includes two minifigures and two droids you can battle against each other.
B. Your kids will love the LEGO Star Wars Republic Fighter Tank and spend hours building it to completion.
C. The set features an opening top hatch with a cockpit where you can place the included Clone Trooper Gunner figure to ready for battle.
D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes.
The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D
In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.
The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.
In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.
Option D
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Answer:D
Step-by-step explanation:
please help, I have been on this question for a while. Lotta yummy PTS
Answer:
\(y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3\)
Step-by-step explanation:
Given equation:
\(y=\left|\dfrac{1}{2}x-2\right|+3\)
Translation
\(f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}\)
When translating a graph to the right, subtract the number of units from the x variable.
Translating the given graph one unit to the right:
\(f(x-1) \implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3\)
Simplifying:
\(\implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3\)
\(\implies y=\left|\dfrac{1}{2}x-\dfrac{1}{2}-2\right|+3\)
\(\implies y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3\)
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please help somebodydds
Answer :
RA , TR , and HP
................
If a =5, 0, −1,find a vector b such that compab = 2.b = _______.
Answer:
\(b = (q,r , 5q-2\sqrt{26} )\)
Step-by-step explanation:
From the question we are told that
The vector given is
\(a = (5,0,-1)\)
Also \(comp_a b = 2\)
Generally
\(comp_a b = \frac{a \cdot b}{|a|}\)
Here \(|a|\) is the magnitude of a which is mathematically represented as
\(|a| = \sqrt{5^2 + 0^2 +(-1)^2 }\)
=> \(|a| = \sqrt{26}\)
b is vector which we will assume to have the following parameters
\(b = (q , r , x)\)
So
\(comp_a b = \frac{(5,0,-1) \cdot (q,r,x)}{\sqrt{26} } = 2\)
=> \(\frac{5q + 0 -x}{\sqrt{26} } = 2\)
=> \(x = 5q-2\sqrt{26}\)
Hence the vector be can be mathematically represented as
\(b = (q,r , 5q-2\sqrt{26} )\)
This means that the vector b is more than one value since it is made up of variable
This means that if
\(q = 1\\r=1\\x =1\)
Then
\(b = (1,1,5-2\sqrt{26} )\)
A quantity has magnitude but not position, that's why in this the vector \(b =(0,0, -2\sqrt{26}).\)
Vector:If\(a =(5,0,-1)\) Our goal is to determine a vector b that will allow comp to work properly \(_{a}b = 2.\)
Allow the vector to flow naturally \(b =(x, y,z)\)
Recalling
comp\(_{a}b =\frac{a.b}{|a|}\)
Therefore,
comp \(_{a}b= 2 \\\\\)
\(\to \frac{a.b}{|a|}= 2\\\\\)
\(\to \frac{(5,0,-1)\cdot (x,y,z)}{ |(5,0,-1)|} =2\\\\\to \frac{5x+0-z}{5^2+0+(-1)^2}=2\\\\ \to \frac{5x-z}{\sqrt{26}}= 2 \\\\\to 5x-z = 2\sqrt{26}\\\\ \to z=5x-2\sqrt{26}\\\\\)
As a result, the vector b can be expressed as,
\(\to b =(x,y,z) =(x, y, 5x-2\sqrt{26}) \\\\\)
As a result, this aforementioned form can be found in an endless number of vectors.
One of them is \(b =(0,0, -2\sqrt{26}).\)
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Question 9 (1 point)
If chain link fence costs $40 per foot, what will it cost to fence in a dog pen that is 12
feet long and 3 feet wide?
Answer:
$1200
Step-by-step explanation:
Cost of the chain link = $40 per foot
Dog pen is 12 feet long and 3 feet wide
The perimeter or the dog pen can be calculated by adding all 4 side 12 + 3 + 12+ 3 = 30 foot
Or the perimeter can be calculated by mathematical formula = 2(L+B)
=2(12+ 3)
=30 foot
Total cost = Cost per feet x Total Length(Perimeter) = 40x30 = $1200 (That's expensive)
Using Compound Interest, calculate the principle and interest earned (final
balance/principal
and interest) if:
Principle=$2,000
Interest Rate=8.5%
Time=10 years
Interest Calculated Quarterly
Answer: 20,085
Step-by-step explanation: 2,000x10=20,000. 8.5x10=85. 20,000+85=20,085.
I hope I got this right and if I did it right.
A school has 147 third graders. The third grade teachers have planned a special treat for the last day of school and brought ice cream for their students. There are three flavors: mint chip, chocolate, and strawberry. Suppose that 60 students like (at least) mint chip, 103 like chocolate, 50 like strawberry, 30 like mint chip and strawberry, 40 like mint chip and chocolate, 25 like chocolate and strawberry, and 18 like all three flavors. How many students don't like any of the flavors available
Write the equation of this line in slope-intercept form.
Answer: y = 4x + 1
Step-by-step explanation: the slope is 4 over 1 (the same as just 4, so we are just putting 4) because the points of the line are going up four and over one (and you always add x to the slope). the y-intercept is 1 because that is where the line meets the y axis. :)
4 + 3s + 2
Terms:
Coefficients:
Constants:
Answer
▬▬▬▬▬▬▬▬▬▬▬▬
4 + 3s + 2→ Terms - Three (Trinomial)
→ Coefficient - 3
→ Constants - 4 and 2
▬▬▬▬▬▬▬▬▬▬▬▬
the doctor uses a computer to make a list of every patient between the ages 18 and 25. she selects every third name on this list. is this sample likely to be representative of the population of her patients? explain
Using lexicographic ordering of 4-sets, select the two inequalities that are both correct. O {2,1,4,5}<{1,16,67,4} {1,5,7,8}<{1,6,67,8} O {2,1,4,5}>{1,16,67,4} {1,5,7,8}<{1,6,67,8} O{2,1,4,5}<{1,16,67,4} {1,5,7,8}>{1,6,67,8} O {2,1,4,5}>{1,16,67,4} {1,5,7,8}>{1,6,67,8}
Using lexicographic ordering of 4-sets, the two correct inequalities are {2,1,4,5}<{1,16,67,4} {1,5,7,8}<{1,6,67,8}
Lexicographic ordering, also known as a dictionary or alphabetical order, is a method of comparing sequences of elements. In this case, we are comparing 4-sets. When comparing two sets, we start by comparing the first elements of each set. If they are equal, we proceed to compare the second element, and so on until we find a pair of elements that are different. The set with the smaller element at that position is considered smaller in lexicographic order.
1. In the first inequality, {2,1,4,5}<{1,16,67,4}, we can see that the first element of the first set (2) is greater than the first element of the second set (1). Therefore, the second set is smaller in lexicographic order, making the inequality correct.
2. In the second inequality, {1,5,7,8}<{1,6,67,8}, the first elements are equal (1). So, we proceed to compare the second elements. The second element of the first set (5) is smaller than the second element of the second set (6), so the first set is smaller in lexicographic order, making the inequality correct.
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PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
Using a standard deck of cards, a gamer drew one card and recorded its value. They continued this for a total of 100 draws. The table shows the frequency of each card drawn.
Card A 2 3 4 5 6 7 8 9 10 JQK
Frequency 4 7 5 6 7 6 8 10 7 10 8 12 10
Based on the table, what is the experimental probability that the card selected was a K or 6?
The experimental probability that the card selected was a K or 6 is 17/100 or 0.17.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that it is certain. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In other words, it is the ratio of the number of desired outcomes to the total number of outcomes.
The frequency of card 6 is 7 and the frequency of card K is 12. However, the card K is also counted in the total count for JQK, so we need to subtract 2 from the frequency of K to get the actual count of K.
Actual count of K = 12 - 2 = 10
Total count of 6 and K = 7 + 10 = 17
The experimental probability of drawing a K or 6 is the frequency of drawing K or 6 divided by the total number of draws:
Experimental probability = (frequency of K or 6) / (total number of draws)
Experimental probability = 17 / 100
Therefore, the experimental probability that the card selected was a K or 6 is 17/100 or 0.17.
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Which of the following sets of ordered pairs represents a function?
{(10,5), (10,-5), (5,10), (5,-10)}
{(10,5), (-10,-5), (5,10), (-5,-10)}
{(-6,-1), (13,8), (1,6), (1,-10)}
{(3,5), (-17,-5), (3,-5), (-17,5)}
The sets of ordered pairs that represents a function are {(10,5), (-10,-5), (5,10), (-5,-10)} and {(-6,-1), (13,8), (1,6), (1,-10)}
Ordered pair of a functionOrdered pairs are written as a coordinate (x, y). For the given x coordinate points to be a function, the value of its x coordinates (domain) must not be repeated.
From the given ordered pairs, {(10,5), (10,-5), (5,10), (5,-10)} and {(3,5), (-17,-5), (3,-5), (-17,5)} are not functions since there is repetition in their domains.
Hence the sets of ordered pairs that represents a function are {(10,5), (-10,-5), (5,10), (-5,-10)} and {(-6,-1), (13,8), (1,6), (1,-10)}
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Mathematics challenge
Get the equation of the line containing PQ using the point-slope formula:
y - (-2) = 3/2 (x - (-6))
Solve for y to get it in slope-intercept form:
y = 3/2 x + 7
so the y-intercept is (0, 7).
The line containing QR is then
y - 7 = -3/4 (x - 0)
or
y = -3/4 x + 7
The point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:
0 = -3/4 x + 7
3/4 x = 7
x = 4/3×7 = 28/3
So the point R has coordinates (28/3, 0).
Answer:
Point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:
0 = -3/4 x + 7
Take off the zero...
3/4 x = 7
Answer
x = 4/3×7 = 28/3
And there it is
Point R has the coordinates (28/3, 0).
Step-by-step explanation:
write 464000 in correct scientific notation
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
Meg pounded a stake into the ground. When she attached a leash to both the stake and her dog’s collar, the dog could reach 9 feet from the stake in any direction. Using 3.14 for pi, what is the approximate area of the lawn, in square feet, the dog could reach from the stake.
The dog is able to run around in a circle with a radius of9 ft.
The area of a circle is A = pi r^2
A = (3.14) (9)^2
A= (3.14)(81)
A= 254.34 sq ft
Multiplying Fractions - Make sure you reduce your fractions
5/6 x 3/10 =
2/3 x 6/7 =
Answer:
Step-by-step explanation:
5/6 x 3/10= 15/60=1/4
2/3 x 6/7=12/21=4/7
Today only, a table is being sold for $279. This is 62% of its regular price. What was the price yesterday?
Answer:
$450.
Step-by-step explanation:
62% = 0.62.
Let yesterday's price be $x, then.
0.62x = 279
x = 279 / 0.62
= $450.
Evaluate the expression when a = 1/4 and b = 6 16a^2 - 4b
\(\huge\text{Hey there!}\)
\(\mathsf{16a^2 - 4b}\)
\(\mathsf{= 16(\dfrac{1}{4})^2 - 4(6)}\)
\(\mathsf{= 16(\dfrac{1}{4} \times \dfrac{1}{4}) - 4(6)}\)
\(\mathsf{= 16\times \dfrac{1(1)}{4(4)} - 4(6)}\)
\(\mathsf{= 16(\dfrac{1}{16}) - 4(6)}\)
\(\mathsf{= \dfrac{16}{1}(\dfrac{1}{16}) - 4(6)}\)
\(\mathsf{= \dfrac{16(1)}{1(16)} - 4(6)}\)
\(\mathsf{= \dfrac{16}{1} - \dfrac{4(6)}{1}}\)
\(\mathsf{= 1 - 4(6)}\)
\(\mathsf{= 1 - 24}\)
\(\mathsf{= -23}\)
\(\huge\text{Therefore, your answer should be: }\)
\(\huge\boxed{\mathsf{-23}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Write down the first two terms (and the error term) in the Taylor series expansion of f(h) = ln(3 - 2h) around h = 0, The error term should involve a mysterious unknown constant xi. There's no way to determine xi from the information given here: in practice, if you were to evaluate your Taylor expansion at, say, h =, you would know that xi elementof (0, 4) and you could get bounds on the error by bounding the derivatives of f(h) on this interval.
The Taylor series expansion of f(h) = ln(3 - 2h) around h = 0 is given by:
f(h) = f(0) + f'(0)h + R(h)
where f(0) = ln(3), f'(0) = -2/3, and R(h) is the remainder term.
To find the remainder term, we need to take the higher-order derivatives of f(h) and evaluate them at h = 0. We have:
f''(h) = 4/(3(3 - 2h))^2, f'''(h) = -32/(3(3 - 2h))^3, and so on.
Evaluating these at h = 0, we get f''(0) = 4/9 and f'''(0) = -32/27.
Thus, the remainder term can be expressed as:
R(h) = (1/2)f''(xi)h^2 = (1/2)(4/9)(xi)^2h^2 = (2/9)(xi)^2h^2
where xi is some unknown constant between 0 and 4.
Therefore, the first two terms in the Taylor series expansion of f(h) are:
ln(3) - (2/3)h
and the remainder term involves the unknown constant xi, given by R(h) = (2/9)(xi)^2h^2.
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What is the solution to -4(8x-3x) greater than or equal to 6x -8
Step-by-step explanation:
Answer:
x <= 4/13
Step-by-step explanation:
-4(8x - 3x) >= 6x - 8
-4(5x) >= 6x - 8
-20x >= 6x - 8
-26x >= -8
x <= 8/26
x <= 4/13
The graph of f is translated a whole number of units horizontally and vertically to obtain the graph of h
The function f is defined by f(x) = square root of x
Write down the expression for h(x).
The expression for h(x) is,
⇒ h (x) = √(x - 2) + 4
Now, Given that;
Initially the graph f (x) is shifted horizontally to the right.
When the graph shifts to right the function then becomes
f (x) → f (x-b)
Where b is the units by which it is shifted towards right .
So, in the figure we can see that it is shifted 2 units to the right .
So, f(x) → f(x-2)
Since f(x) is,
⇒ f (x) = √x
So, f (x-2) = √x - 2
Now, the new obtained graph is again shifted vertically upward
When the graphs shifts upward;
⇒ f(x) → f(x) + b
where b is the units by which it is shifted upward
So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift
i.e. f(x) → f(x) + b
So, Our new graph h(x) = f(x-2) + 4
⇒ h (x) = √(x - 2) + 4
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