Answer:
40 yard
Step-by-step explanation:
Answer:
120 feet
Step-by-step explanation:
8 yards in 2 seconds.
so we need to change the unit of yards into feet bcz all units should be same
now 1 yard=3 feet therefore 8 yards=24 feet
if he runs in 2 seconds =24 feet
he runs in 1 second =24/2 feet=12 feet
he runs in 10 seconds=12*10=120 feet
hope it will help.
Is it true that for every integer of n the value of n to the 2nd power is positive
Answer:
no i do think so that dose not make sensens
A car salesman claims that the variance of prices on convertibles is higher than the variance on station wagons. To test this claim, he selects random samples of each type of car, and records the prices. The standard deviation of 16 convertibles is $6800 and the standard deviation of 24 station wagons is $3900. For , what is the p-value? Group of answer choices
Answer:
Hence the critical value for the right-tailed test is \(F_{15,23,0.05}=2.1282\). Since the test value is greater than the critical value so we reject the null hypothesis.
Step-by-step explanation:
Hypotheses are:
\(H_{0}:\sigma_{1}^{2}=\sigma_{2}^{2}\\H_{a}:\sigma_{1}^{2}>\sigma_{2}^{2}\)
Here we have s_{1}=6800 and s_{2}=3900. Here we will use F -test. The Value of test statistics is
\(F=\frac{s_{1}^{2}}{s_{2}^{2}}\\\\F=\frac{6800^{2}}{3900^{2}}\\\\F=3.0401\)
Here the degree of freedom of the numerator is \(df_{1}=n_{1}-1=16-1=15\) and The degree of the denominator is
\(df_{2}=n_{2}-1 \\\\=24-1=23 .\)
The critical value for the right-tailed test is \(F_{15,23,0.05}=2.1282\). Since the test value is greater than the critical value so we reject the null hypothesis.
Answer:
Step-by-step explanation:
Eight less than 7 times a number is the same as 4 more than 3 times the number. How do I find the number?
Answer:
Do exactly as it says
7x-8=3x+4
Step-by-step explanation:
eight less than 7 times a number 7x-8
is the same as or = to
four more than 3 times a number 3x+4
A cylinder with 1/4 of a section removed has a radius of 4 cm for the base and a height of 10 cm.
Determine the approximate volume of the solid. Use 3.14 for pi. cm3
Answer:
Volume of the solid is 377 cm³.
Step-by-step explanation:
Volume of the cylinder = \(\pi r^{2}h\)
Here, r = radius of the cylinder
h = Height of the cylinder
By substituting the values in the formula, (r = 4 cm and h = 10 cm)
Volume of the cylinder = \(\pi (4)^2(10)\)
= 160π
Since one fourth of the cylinder is removed,
Volume of the remaining cylinder = 160π - \(\frac{160\pi }{4}\)
= 160π - 40π
= 120π
= 120(3.14)
= 376.8 cm³
≈ 377 cm³
Volume of the solid is 377 cm³.
Geometry Question:
Find the value of x that makes N the incenter of the triangle (See attached)
Answer:
.5 or 1/2
Step-by-step explanation:
Y^2x 24^2=25^2
Y=7
7=14x
x=.5
The value of x is 0.5.
The calculation is as follows:Here we use Pythagoras Theorem
\(Y^2 - 24^2=25^2\)
Y=7
Now
7 = 14x
So, x=.5
Therefore we can conclude that The value of x is 0.5.
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Ten people are playing musical chairs. There are nine chairs in the first round.Whoever doesn't get a chair is out.How many ways can the first round go (with one person being kicked out of thegame)?
okay so this is a question of probability
if we have 9 chairs but 10 people that means we will have 1 person who doesnt get a seat and that is disqalified from the game.
so we have 10 probabilties each with one person not getting a chair
any questions?
A rectangular prism kiddie pool is 7 feet wide, 6 feet long, and 10 feet tall. When the day started the pool was completely full of water. After 3 hours, the water level had decreased by 1.5 feet. What would be the volume of water in the kiddie pool after 3 hours. Which dimension would relate to water level?
Answer:
The volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)
Height is the dimension that would relate to water level.
Step-by-step explanation:
The volume of a rectangular prism can be calculated using the formula
\(V = lwh\)
\(V\) is the volume
\(l\) is the length
\(w\) is the width
and \(h\) is the height
From the question,
When the day started the pool was completely full of water, that is, the volume of water in the pool will be the capacity of the rectangular prism kiddie pool.
From the question,
\(l\) = 6 feet
\(w\) = 7 feet
\(h\) = 10 feet
Hence,
\(V = 6 feet \times 7 feet \times 10 feet\)
\(V = 420 cubic feet (ft^{3} )\)
This is the volume of the water in the pool when the day started.
Also, from the question
After 3 hours, the water level had decreased by 1.5 feet, that is the height had decreased by 1.5 feet
Then, the new height is
10 feet - 1.5 feet = 8.5 feet
h = 8.5 feet
Now, to determine the volume after 3 hours
\(V = 6 feet \times 7 feet \times 8.5 feet\)
\(V = 357 cubic feet (ft^{3} )\)
Hence, the volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)
The dimension that would relate to water level will be the height.
suppose you draw n lines in the plane so that every pair of lines cross (no lines are parallel) and no three lines cross at the same point. this will create some number of regions in the plane, including some unbounded regions rn. call the number of regions . find a recursive formula for the number of regions created by n lines, and justify why your recursion is correct.
The recursive formula for the number of regions created by n lines, where every pair of lines cross and no three lines cross at the same point, is Rn = Rn-1 + (n - 1).
Let n be a natural number representing the number of lines drawn in the plane such that every pair of lines cross and no three lines cross at the same point. Suppose we wish to determine the number of regions in the plane, including some unbounded regions rn. For instance, in the picture below, there are 5 regions in the plane, including two unbounded regions.In order to find a recursive formula for the number of regions created by n lines, we can start with the base case where n = 1. If there is only one line, there will be two regions: one bounded and one unbounded. Next, we can find a recursive formula for n lines by adding one more line and counting the number of regions it creates. When we add a new line, it will intersect every existing line once and create new intersection points. By connecting these points, we can see that the new line will divide each existing region it passes through into two parts. Additionally, it will create a new region bounded by the new line and the previous lines. Therefore, the number of regions created by adding one more line is equal to the number of regions created by the previous (n - 1) lines, plus the number of intersection points created by the new line. The number of intersection points created by the new line is equal to the number of existing lines it intersects, or (n - 1). Thus, we obtain the recursive formula:Rn = Rn-1 + (n - 1)where Rn represents the number of regions created by n lines and Rn-1 represents the number of regions created by the previous n - 1 lines.To justify why this recursion is correct, we can use mathematical induction. The base case is when n = 1, which we have already established as true. Now, assume that the recursion is true for some n = k. Then, we have:Rk = Rk-1 + (k - 1)Next, consider the case where n = k + 1. By adding one more line, we obtain the formula:Rk+1 = Rk + kWe can substitute our expression for Rk into this equation to obtain:Rk+1 = Rk-1 + (k - 1) + k = Rk + (k - 1) + k = Rk + kNow, we can see that this is the same as our formula for Rk+1, which is:Rk+1 = Rk + kTherefore, the formula is true for n = k + 1. By the principle of mathematical induction, it follows that the formula is true for all natural numbers n ≥ 1.
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Matthew is paid $8.50 for each acre he mows on his grandparent's estate. He mows 50% of an acre in 3/5 of an hour.
Question
At the rate, how much will Mathew be paid for two hours of moving? Round to the nearest cent.
Answer:
exact answer =$19.83
rounded answer = $20
Step-by-step explanation:
3/5 = 0.6, so in 0.6 hours he can do 50% so in 2 hours that has 3 0.6 so 150% and the remaining time is 0.2 hours thats 1/3 of 0.6 so just divide 50% by 3 you'll get around 16.7% so in 2 hours he finished 166.7%
16.7% = 1/3 of 50% = 8.50 = 8.50/3 = 2.83
so 8.50 + 8.50 + 2.83 =
$19.83
Choose the best estimate for the weight of a cantaloupe. Responses A 2 decigrams2 decigrams B 2 kilograms2 kilograms C 2 grams2 grams D 2 milligrams
The best estimate for the weight of a cantaloupe is 2 kilograms (B).
A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.
Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.
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Complete Question:
Choose the best estimate for the weight of a cantaloupe. Responses
A 2 decigrams
B 2 kilograms
C 2 grams
D 2 milligrams
a card is drawn from a standard deck of 52 playing cards. what is the probability that the card will be a diamond and not a seven? express your answer as a fraction or a decimal number rounded to four decimal places.
If we draw a card from a standard deck of 52 cards, the probability that the card is a diamond and not a seven is 3/13 or 0.2308
What is the probability that the card is a diamond and not a seven?The probability that the card is a diamond and not a seven can be calculated using the probability formula, which is:
Probability of an event preceding = Number of ways an event can occur / Total number of possible outcomes
The total number of cards in a standard bar is 52Diamonds can be found on 13 of these 52 cards.Among these 13 diamond cards, seven are not included. Therefore, there are 13 - 1 = 12 diamond cards that are not sevens. The probability that the card is a diamond and not a seven is calculated as follows:
Probability = Number of ways an event can happen / Total number of possible outcomes = 12/52 = 3/13 (fraction) = 0.2308
Therefore, the probability that the card is a diamond and not a seven is 3/13 or 0.2308
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Which of the following opitions have the same value as 5 percent of 35?
Answer:
1.75 is the same value as 5 percent of 35.Step-by-step explanation:
Even though there aren't any
options for what 5 percent of 35
is, I can find it out without multiple choice.
Answer = 1.75
Hope this helps! <3
In which proportion does x have a value of 4?
Answer:
x-1=3
which will equal to 4
Mackenzie is training for a marathon and varies her workouts from day to day. Mackenzie ran 5 MPH during Monday's workout and 100% faster during Tuesday's workout. How fast did she run on Tuesday?
Answer:
i think 10mph
Step-by-step explanation:
if she ran 100% faster that means she ran double or 200% of the initial speed
Mrs. Cochran bought 1.5 lb. of ground beef.
How many ounces did she buy?
Answer:
24 oz
Step-by-step explanation:
16 oz to a pound
16 x 1.5 = 24 oz
Answer:
24 ounces
Step-by-step explanation: One pound equal 16 ounce plus a half a pound which is 8 equals 24
The probability density function (pdf) of X, the lifetime of a certain type of electronic device (measured in hours), is given by f(x)=10/x2,x≥10,
0, x <10.
a. Find the probability that the device will last more than 20 hours.
b. What is the cumulative distribution function (CDF) of X?
c. What is the probability that of 6 such type of devices at least 3 will function at least 15 hours?
d. What is the average lifetime of such type of device?
e. Let X be a random variable with pdf f(x)=x2/3,−1
, 0 otherwise
Find the expected value and variance of g(X)=3−4X
For the probability density function, \(f(x) = \[ \begin{cases} \frac{10}{x²}& x ≥10 \\ 0 & x< 10\end{cases} \] \),
a) The probability that the device will last more than 20 hours is equals to \(= \frac{1}{2} \).
b) The cumulative distribution function (CDF) of X is \(F(x) = \[ \begin{cases} 1- \frac{10}{x}& x ≥10 \\ 0 & x< 10\end{cases} \]\).
c) The probability that of 6 such type of devices at least 3 will function at least 15 hours is equals to 0.31960.
d) The average lifetime of such type of device is infinity.
e) The expected value and variance is 1.25 and 2.066 respectively.
The probability density function is integrated to compute the cumulative distribution function. We have a probability density function (pdf) of X, for lifetime of a certain type of electronic device, \(f(x) = \[ \begin{cases} \frac{10}{x²}& x ≥10 \\ 0 & x< 10\end{cases} \]\).
We have answer the following questions,
a) The probability that the device will last more than 20 hours, P( X> 20) \(= \int_{20}^{\infty } \frac{ 10}{x²} dx\)
\(= [ \frac{- 10}{x} ]_{20}^{ \infty } \ \)
\(= [\frac{-10}{\infty}-\frac{(-10)}{20}]\)
\(= \frac{1}{2} \)
b) The cumulative distribution function (CDF) of X, is represented as, \(= \int_{10}^{x}\frac{10}{y²}dy\)
\(= - 10 [ \frac{ 1}{y} ]_{10}^{ x } \)
\(= [ \frac{ -10}{x } + \frac{10}{10} ]\)
\(= 1- \frac{ 10}{x } \)
\(F(x) = \[ \begin{cases} 1- \frac{10}{x}& x ≥10 \\ 0 & x< 10\end{cases} \]\).
c) The probability that of 6 such type of devices at least 3 will function at least 15 hours, \(P( X>15) = \int_{15}^{\infty} ( \frac{10}{x²}) dx\)
= \( \frac{2}{3}\)
Now, \(P( X ≥ 3) = P(X= 0) + P( X=1) + P( X = 2) + P( X = 3) \\ \)
\( = ⁶C₀( \frac{2}{3})⁰( \frac{2}{3})⁶+ ⁶C₁( \frac{2}{3})¹ (\frac{1}{3} )⁵ + ⁶C₂(\frac{2}{3})²(\frac{1}{3})⁴ +⁶C_3(\frac{2}{3})³(\frac{1}{3})³ \\ \)
= 0.001371 + 0.01646 + 0.08230 + 0.21947
= 0.31960
So, the probability is 0.31960.
d) the average lifetime of such type of device, \(E(X) = \int_{10}^{\infty} \frac{10}{x} dx\)
\(=10[ln(x) ]_{10}^{\infty}\)
\(=\infty\)
e) Let X be a random variable with pdf, f(x) = \(f(x) = \[ \begin{cases} \frac{ {x}^{2} }{3}& - 1 < x < 2 \\ 0 &otherwise\end{cases} \]\)
The expected value, \(E(X) = \int_{-1}^{2}\frac{x³}{3}dx\)
\(= [\frac{x⁴}{12}]_{-1}^{2} \)
= 1.25
The variance value of g(X) = 3−4X
\( {X^2}= \int\limits_{ - 1}^2 {\dfrac{{{x^4}}}{3}} dx = (\frac{x^5}{15})_{ - 1}^{2} \\ \)
= 2.066
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Complete question :
The probability density function (pdf) of X, the lifetime of a certain type of electronic device (measured in hours), is given by f(x)=10/x2,
x≥10, 0, x <10.
a. Find the probability that the device will last more than 20 hours.
b. What is the cumulative distribution function (CDF) of X?
c. What is the probability that of 6 such type of devices at least 3 will function at least 15 hours?
d. What is the average lifetime of such type of device?
e. Let X be a random variable with pdf
f(x)=x2/3,−1<x<2, 0 otherwise
Find the expected value and variance of g(X)=3−4X
Find the 50th term of 6,12,18,24
Answer:
300
Step-by-step explanation:
You simply multiply 50 and 6. I hope you have a nice day. :)
Answer:
300 :3
Step-by-step explanation:
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 50 = 300
Surface area of a rectangular prism 17cm 15cm 17cm 11cm 16cm??? I need it noww
Answer:
picture?
Step-by-step explanation:
Answer:
1,240 square centimeters
A 100g packet of tea costs £4.16.
A 25g packet of the same tea costs £1.05.
Which packet is better value for money?
Show how you decide.
Answer:
A 100g packet of tea for £4.16
Step-by-step explanation:
If you multiply the second item, the 25g packet of tea for £1.05, by 4, it will come out to 100g for £4.20.
£4.20>£4.16; therefore, the 100g packet of tea is a better deal.
A 100 g packet of tea costs £4.16 is better value for money.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A 100g packet of tea costs £4.16.
A 25g packet of the same tea costs £1.05.
Now,
Since, A 25g packet of the same tea costs £1.05.
Hence, The cost of 100 g of the same tea = 4 x 1.05
= £4.20
Which is greater than £4.16.
So, A 100g packet of tea costs £4.16 is better value for money.
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Tell whether the two quantities vary directly. Explain your reasoning.
the number of correct answers on a test and the score on the test
Choose the correct answer below.
OA. No, they do not vary directly. When one quantity increases, the other quantity does not increase.
OB. No, they do not vary directly. When one quantity increases, the other quantity also increases.
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
OD. Yes, they vary directly. When one quantity increases, the other quantity does not increase.
The correct statement regarding the variation of the two measures is given as follows:
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
What are positive and negative association?Two variables have a positive association when the values of one variable increase as the values of the other variable increase, that is, the quantities vary directly.Two variables have a negative association when the values of one variable decrease as the values of the other variable increase, that is, the quantities vary inversely.For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.
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Which step should be performed first when simplifying 18−3+11×2+5?
-3+11
2+5
18-3
11x2
Answer:
11 x 2
Step-by-step explanation:
By BODMAS rule,
B - Brackets
O - Orders
D - Division
M - Multiplication
A - Addition
S - Substraction
Consider DMAS alone.
Here, there is no division.
So,
Multiplication ( x ) should be the first step.
Please answer this in two minutes fast
Answer:
(16,4)
Step-by-step explanation:
To go from M to S
(-4, 2.5)
Reverse
(16,4)
Answer:
work is shown and pictured
Find the measures of the numbered angles of rhombus DEFG
Answer: m<1= 90
m<2= 42
m<3= 42
m<4= 48
m<5= 48
Step-by-step explanation: Reasoning= 8th grade nerd
Just kidding, the diagonals bisect the angles(vertices) and opposite angles are congruent thanks to nasty proofs, which means <4=<5. The same goes with angle 2 and 3. The sum of interior angles of a rhombus is 360 degrees. So, 48 times 4, is 192, and 360-192 is 168. 168 divided by 4 is 42. There's your messy explanation. You(the person asking) probably turned this in already but to those who are searching for this answer days, weeks, months, even years ahead, good luck. Geometry is kinda rough but you'll (might) get the hang of it if you pay enough attention.
The angles are as follows:
∠1 = 90°
∠2 = 42°
∠3 = 42°
∠4 = 48°
∠5 = 48°
The figure is a rhombus
The diagonals of a rhombus are perpendicular bisector of each other.
Adjacent angle are supplementary too.
Therefore,
∠1 = 90°
The diagonal cut the angles into 2 equal half. Therefore,
∠4 = 48°
opposite angles are equal . Therefore,
∠5 = 48°
Sum of angles in a quadrilateral = 360°. Therefore,
48(2) + 48(2) + 2(∠2 + ∠3) = 360
2(∠2 + ∠3) = 360 - 192
(∠2 + ∠3) = 168 / 2
∠2 + ∠3 = 84°
∠2 = 1 /2 × 84
∠2 = 42°
∠3 = 42°
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a cube inches on an edge is given a protective coating inch thick. about how much coating should a production manager order for such cubes?
The cube has an edge length of x inches, and the protective coating has a thickness of 1 inch.The amount of coating needed for the cube with a protective coating 1 inch thick is 6L² square inches.
The total dimensions of the cube including the coating is (x + 2) inches.
So, the volume of the cube plus the coating can be calculated by using the formula:
V = (x + 2)³ - x³
= (x³ + 6x² + 12x + 8) - x³
= 6x² + 12x + 8 cubic inches
Therefore, a production manager should order 6x² + 12x + 8 cubic inches of coating for such cubes.
To calculate the amount of coating needed for a cube with a protective coating of 1 inch thick, we need to find the surface area of the cube and then multiply it by the thickness of the coating.
The surface area of a cube can be calculated using the formula:
Surface Area = 6 * (edge length)²
Let's assume the edge length of the cube is represented by "L" inches.
The surface area of the cube is:
Surface Area = 6 * (L)²
= 6L² square inches
To find the amount of coating needed, we multiply the surface area by the thickness of the coating:
Coating needed = Surface Area * Thickness
= 6L² * 1 inch
Therefore, the amount of coating needed for the cube with a protective coating 1 inch thick is 6L² square inches.
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every polynomial function of odd degree with real coefficients will have at least
Every polynomial function of odd degree with real coefficients will have at least one real root or zero.
This statement is known as the Fundamental Theorem of Algebra. It states that a polynomial of degree n, where n is a positive odd integer, will have at least one real root or zero.
The reason behind this is that when a polynomial of odd degree is graphed, it exhibits behavior where the graph crosses the x-axis at least once. This implies the existence of at least one real root.
For example, a polynomial function of degree 3 (cubic polynomial) with real coefficients will always have at least one real root. Similarly, a polynomial function of degree 5 (quintic polynomial) with real coefficients will also have at least one real root.
It's important to note that while a polynomial of odd degree is guaranteed to have at least one real root, it may also have additional complex roots.
The Fundamental Theorem of Algebra ensures the existence of at least one real root but does not specify the total number of roots.
In summary, every polynomial function of odd degree with real coefficients will have at least one real root or zero, as guaranteed by the Fundamental Theorem of Algebra.
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1. Find the midpoint for each segment with the given endpoints.
a. C(-2, 5) and D(8, -12) b. E(2.5, -7) and F(-6.2, -3.8)
Answer:
a.(3,-7/2) b.(-1.85,-5.4) will the midpoints
Step-by-step explanation:
let mid point be x,y
apply mid point formula
x=(x1+x2)/2 y=(y1+y2)/2
plz mark as brainliest
The midpoint of the given line is (3,-3.5)
What is midpoint of a line ?The midpoint of a line is a point which divides the line segment into two equal parts.We can also say that a midpoint bisects a line segment.
We know when two end points of a line segment are given we can find midpoint by
M(x) = (x₁ + x₂)/2 and M(y) = (y₁ + y₂)/2.
Given points C(-2, 5) and D(8, -12)
M(x) = ( - 2 + 8 )/2
M(x) = 6/2
M(x) = 3.
M(y) = ( 5 - 12 )/2
M(y) = -7/2
M(y) = -3.5.
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A group of 20 people are going to run a race. The top 6 finishers advance to the finals. In how many different ways can they advance?
AJSKASJASJJAJSKJSAKSJAJKS What is x
PLZ HELP 50 POINTS The graph shows that rate is proportional to time. Point W represents a rate of 0.8 pound of potato chips made in 1 minute.
What does Point Y represent?
Answer:
A rate of 2.4 pounds of chips made in three minutes
Step-by-step explanation: hope this helped
Answer:
A rate of 2.4 pounds of chips made in 3 minutes
Step-by-step explanation:
For BRAINILY please help I need to pass this class
This is an isosceles triangle, which means that is has two congruent legs and two congruent base angles. Therefore, because IJ and IH are congruent, angles J and H are also congruent.
v = 54 degrees
Hope this helps!! :)