Answer:
\(\frac{1}{3}\) mile
Step-by-step explanation:
Fairfax → Springdale + Springdale → Livingstone = \(\frac{1}{2}\)
Fairfax → Springdale + \(\frac{1}{6}\) = \(\frac{1}{2}\) ( subtract \(\frac{1}{6}\) from both sides )
Fairfax → Springdale = \(\frac{1}{2}\) - \(\frac{1}{6}\) = \(\frac{3}{6}\) - \(\frac{1}{6}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\) mile
The following data are the numbers of cycles to failure of aluminum test coupons subjected to repeated alternating stress at 21000 psi, 18 cycles per second.
1115 865 1015 885 1594 1000 1416 1501 1310 2130 845 1223 2023 1820 1560 1238 1540 1421 1674 265
1315 1940 1055 990 1502 1109 1016 2272 1269 1120 1764 1468 1258 1481 1102 1910 1260 910 1330
1512 1315 1567 1605 1018 1888 1730 1608 1750 1085 1883 706 1452 1782 1102 1535 1642 798
1203 2233 1890 1522 1578 1781 1020 1270 785 2100 1792 758 1750
Required:
a. Construct a stem-and-leaf display for these data.
b. Does it appear likely that a coupon will "survive" beyond 2000 cycles?
a) The stem and leaf plot of the data is illustrated below.
b) Based on the stem-and-leaf plot, it appears likely that a coupon will "survive" beyond 2000 cycles since there are data points in that range.
First, we separate the data into stems and leaves. The stem represents the tens place, while the leaves represent the ones place. For example, if a data point is 1223, the stem would be 122 and the leaf would be 3. By organizing the data in this manner, we can easily determine the frequency of values and observe any patterns that emerge.
Now let's construct the stem-and-leaf plot for the given data:
Stem | Leaves
------+-------
7 | 06 58 85 90 98
8 | 45 65 85 85 88 90 90 93 94 94 98
9 | 10 55 69 69 90 90 90 90 90 93 94 94 94
10 | 15 20 23 23 26 30 33 40 42 42 50 58 60 62 62 74 85 90
11 | 02 02 06 09 20 20 22 23 26 35 52 52 52 52 55 67 90 90
12 | 03 20 20 22 23 33 33 58 58 69 90 90
13 | 15 35 42 46 58 70 82 98
14 | 02 35 42 81
15 | 18 23 35 40 42 52 67 74
16 | 42 60 42
17 | 06 30 50 81
18 | 20 22 50 82
19 | 30 90 92
20 | 10 30 50 70 82
21 | 00 00 02
22 | 33 33 58 58 90
23 | 33 33
24 | 20 22
25 | 33 65
For instance, a stem value of 8 with leaves 45 indicates two data points: 845 and 885. The frequency of each data point can be determined by counting the number of leaves associated with each stem.
Now, let's address the question of whether it appears likely for a coupon to "survive" beyond 2000 cycles. To answer this, we examine the stem-and-leaf plot. We observe that the stem value of 20 contains several leaves greater than 0, indicating that there are data points in the 2000s range. Additionally, the stem values of 21 and 22 also have leaves, suggesting the presence of data points beyond 2000 cycles.
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Which is the ground-state electron configuration of gas- phase Co²+? (A) 1s²2s²2p 3s²3p64s²3d (B) 1s²2s22p 3s²3p64s²3d5 (C) 1s²2s²2p 3s²3p64s²4d5 (D) 1s²2s²2p 3s²3p 3d
Ground-state electron configuration of gas-phase Co²+ is [Ar] 3d⁷. Answer: (E) [Ar] 3d⁷.Explanation: First of all, we need to find the electron configuration of Cobalt (Co).
The electron configuration of Cobalt (Co) is 1s²2s²2p⁶3s²3p⁶4s²3d⁷.Now, we can remove the electrons to get the electron configuration of gas-phase Co²+ .Co: 1s²2s²2p⁶3s²3p⁶4s²3d⁷Co²+: 1s²2s²2p⁶3s²3p⁶3d⁷The full electron configuration of Co²+ will be [Ar] 3d⁷. Therefore, the answer is (E) [Ar] 3d⁷.
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What is a integer between saure root of 30 and 4/3
9514 1404 393
Answer:
any of 2, 3, 4, 5
Step-by-step explanation:
√30 ≈ 5.48
4/3 ≈ 1.33
Integers between 1.33 and 5.48 include 2, 3, 4, 5. Any of these is an integer between √30 and 4/3.
pleaseee helpppp mehhhh
Answer:
-13x^2 + 6x + 11
Step-by-step explanation:
Just subtract the numbers that are similar (i.e. -5x^2 - 8x^2)
Find the sum of 4x^2+3x+24x 2 +3x+2 and 7x^2+7x+37x 2 +7x+3. A
Answer:
146x + 9
unless they have to be seperate not all combined
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer: The answer is d (-8,-8)
Step-by-step explanation:
the coordinate of point C is located at (-4,-4)
with a dilation by 2, point C' is located at (-8,-8)
In AIJK, the measure of K=90°, the measure of I=74°, and JK = 6 feet. Find the length of IJ to the nearest tenth of a foot.
plz help
Answer:
6.2 feet
Step-by-step explanation:
a box contains six green balls five red balls and eigth yellow balls how many ways are there of choosing ten balls from the bopx if the number of green balls chosen must be even
The number of ways are there of choosing ten balls from the box if the number of green balls must be in even numbers =15946 ways
To determine the number of ways of choosing ten balls from the box such that the number of green balls chosen is even, we need to consider the different possible combinations of green balls that could be chosen.
First, we can select 0 green balls, in which case we would need to choose all 10 balls from the 5 red and 8 yellow balls. This can be done in (5+8) choose 10 ways, which is 13 choose 10, or 286 ways.
Alternatively, we could choose 2, 4, or 6 green balls, and then select the remaining balls from the red and yellow balls. To count the number of ways of doing this, we can use the binomial coefficient formula.
The total number of ways of selecting 10 balls from the box is (6+5+8) choose 10, which is 19 choose 10, or 92,378 ways.
Therefore, the number of ways of choosing 10 balls from the box such that the number of green balls chosen is even is the sum of the number of ways of choosing 0, 2, 4, or 6 green balls, which is:
(6 choose 0)(13 choose 10) + (6 choose 2)(5 choose 8)(8 choose 0) + (6 choose 4)(5 choose 6)(8 choose 0) + (6 choose 6)(5 choose 4)*(8 choose 0)
Simplifying this expression gives a total of 15,946 ways.
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I need help with these
Given:
The figures of triangles and their mid segments.
To find:
The values of n.
Solution:
Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.
11.
It is given that:
Length of mid-segment = n+8
Length of parallel side = 6n
Using mid-segment theorem, we get
\(n+8=\dfrac{1}{2}(6n)\)
\(n+8=3n\)
\(8=3n-n\)
\(8=2n\)
Divide both side by 2.
\(\dfrac{8}{2}=n\)
\(4=n\)
Therefore, the value of n is equal to 4.
12.
It is given that:
Length of mid-segment = 5n
Length of parallel side = 8n+10
Using mid-segment theorem, we get
\(5n=\dfrac{1}{2}(8n+10)\)
\(5n=4n+5\)
\(5n-4n=5\)
\(n=5\)
Therefore, the value of n is equal to 5.
Geometry please help 30 points
Answer:
The answers for each are the following
A.) RPT
B.) NM
C.) X=7
Determining Equivalent Expressions i'm confused on everything about it so if someone could clear it up for me. I will mark Brainliest
Answer:
Equivalent expressions
Step-by-step explanation:
Example
Lets start with numbers
1 + 2 = 3
The expression 1 + 2 is equivalent to 3
They have the same value
Now with algebras
2(x + 3) is equivalent i.e also equals to 2x + 6
3(x + 1) - 23 is equivalent to the following expressions:-
3x + 3 - 23
& 3x - 20
In conclusion equivalent expressions are different expressions that have the same values.
What is the y-coordinate of the point in the standard (x,y) coordinate plane at which the 2 line y=x/2+3
Answer:
(0,3)
Step-by-step explanation:
What is the domain and range of each graph? Notice that some of these have endpoints. 3. b. d. a. Domain x=-4.7 Range -5<=y<=5 b. Domain c. Domain d. Domain
a. The domain is x = -4.7, which means that the graph is a vertical line passing through x = -4.7. The range is -5 ≤ y ≤ 5, indicating that the graph spans from y = -5 to y = 5 along the y-axis.
b. Without specific information about the graph or equation, it is not possible to determine the domain and range accurately. More context is needed to analyze the graph and identify its domain and range.
c. Similar to the previous case, without additional details about the graph or equation, it is not feasible to determine the domain and range accurately. Further information is required to understand the characteristics of the graph and establish its domain and range.
d. Once again, without specific information about the graph or equation, it is not possible to ascertain the domain accurately. More context and details are necessary to analyze the graph and determine its domain.
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Consider the function f(x) = 10(x^2 – 7x). What are the additive and multiplicative inverses?
Answer: B
Step-by-step explanation:
Edgenuity 2020
Answer:
the answer is b
Step-by-step explanation:
i got the review question right
when three or more lines intersect at a common point, the lines are called
Concurrent line segments are those that cross at least three other line segments at the same location.
What is concurrent lines?Concurrent line segments are those that cross at least three other line segments at the same location. In geometry, if two lines intersect at a single point in a plane or higher-dimensional space, they are said to be concurrent. In contrast to parallel lines, they exist. Concurrent lines are those that cross more than one line at the same time through a single point in a plane. The point of concurrency is a location that each of those lines shares. Triangles provide another example where this concurrency characteristic can be observed.
Here,
Concurrent line segments are those where three or more line segments cross each other at the same location.
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to can be driven before it would need to be junked is an exponential random variable with parameter smith has a used car that he claims has been driven only 10,000 miles. if jones purchases the car, what is the
Answer:
2334
Step-by-step explanation:
A publisher reports that 54T% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 110110 found that 50P% of the readers owned a laptop. Is there sufficient evidence at the 0.100.10 level to support the executive's claim
There is not sufficient evidence at the 0.10 level to support the marketing executive's claim that the percentage of readers owning a laptop is different from the reported percentage of 54T%.
To test whether the sample proportion of 50P% is significantly different from the reported proportion of 54T%, we can use a one-sample z-test.
The null hypothesis is that the true proportion is equal to 54T%, and the alternative hypothesis is that the true proportion is different from 54T%.
The test statistic is calculated as:
z = (p - p₀) / √(p₀(1-p₀)/n)
where p is the sample proportion, p₀ is the hypothesized proportion, and n is the sample size.
Plugging in the values, we get:
z = (0.50 - 0.54) / √(0.54(1-0.54)/110) ≈ -1.38
The critical value for a two-tailed test at the 0.10 level with a sample size of 110 is ±1.645. Since the calculated test statistic (-1.38) does not exceed the critical value (-1.645), we fail to reject the null hypothesis.
Therefore, there is not sufficient evidence at the 0.10 level to support the marketing executive's claim that the percentage of readers owning a laptop is different from the reported percentage of 54T%.
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What is the slope of the line shown below?
A. - 1/2
B. 1
C. -1
D. 1/2
Answer:
C. -1
Step-by-step explanation:
Slope is: \(m=\frac{y_2-y_1}{x_2-x_1}\)
We are given the points (1,7) and (3,5).
\(m=\frac{5-7}{3-1} =\frac{-2}{2} =-1\)
The slope is -1, and therefore, Option C should be the correct answer.
HELP PLSSSS,I DON'T GET IT
Answer:
Step-by-step explanation:
I THINK IT C
a sailing ship stopped at several islands, releasing one mating pair of goats onto each one. on the smallest island, the limited food supply could only support a total of 1500 goats. if their per capita growth rate is 0.5 per year, how many years will it take before the goat population on the smallest island reaches 1000?
After 6 years the population of goats on the small island reaches 1000.
What is per capita growth rate?It is the rate of increases of population per individual in the population. The term related to time period and entire population.
How to calculate the time to reach the maximum populationgiven, initial population of goat on the smallest island, N° =2,
after t years the population of goats on this island, N= 1000
the maximum goat carrying capacity of this island, K= 1500
per capita growth rate, r = 0.5 per year
now, we use logistic growth equation, dN/dt = r×N[(K-N)/K]
dN/dt = 0.5×1000{1500-1000)/1500}
dN/dt= 166.67
∫dN/166.67 = ∫dt
by integrating both sides
N/166.67 = t+c , where c is the
integration constant
at time t=0, N°=2
c= 0.012
N/166.67 =t+0.12
as N=1000 , t= 5.99 years
hence, after 6 years the population of goat on the island reaches 1000.
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simplify 4y+6x-3(x-2y)
Answer:
10y + 3x
Step-by-step explanation:
(4y + 6x) - 3 • (x - 2y)
Answer:
I think it's 10y+3x
Step-by-step explanation:
I search it up :(
Solve the following:
2x -7 /4= x + 3/3
Answer:
\(\frac{11}{4}\) or 2 \(\frac{3}{4}\)
Step-by-step explanation:
Here is one way to solve this problem
2x - \(\frac{7}{4}\) = x + 1 (3/3 is another way to write one) Multiply all the way through by 4
4(2x - \(\frac{7}{4}\)) = 4(x + 1) Distributive property
8x -7 = 4x +4 Subtract 4x from both sides
4x - 7 = 4 Add 11 to both sides
4x = 11 Divide both sides by 4
x = \(\frac{11}{4}\)
Find the volume of the right cone below in terms of π.
The Volume of the right cone (V) that has a diameter of 6 units and a height of 11 units is calculated as: 33π units³.
What is the Volume of a Right Cone?The volume of a right cone can be determined by applying the following formula:
Volume of a right cone (V) = 1/3 * πr²h, where:
r represents the radius of the right cone
h represents the height of the right cone
Given the following:
radius (r) = 6/2 = 3 units
Height (h) = 11 units
Plug in the values:
Volume of the right cone (V) = 1/3 * π * 3² * 11
= 1/3 * π * 99
= π * 33
Volume of the right cone (V) = 33π units³
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5. Steve and Scott are playing a game of cards with a standard deck of playing cards. Steve deals Scott a black king.
What is the probability that Scott's second card will be a red card?
Given that Steve handed him a black king, the probability of Scott's second card being a red card is 13/25, or around 0.52.
What is probability?Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% since there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many disciplines, including statistics, economics, science, and engineering.
A conventional deck of playing cards has 52 cards, including two black kings. When Steve deals a black king to Scott, the deck has 51 cards, 26 of which are red.
We only need to analyse the likelihood of obtaining a red card on the second draw because we know Scott's initial card is a black king. There are 50 cards remaining in the deck, 26 of which are red. As a result, the likelihood that Scott's second card will be a red card is:
P(red card drawn on second draw) = 26/50 = 13/25
Given that Steve handed him a black king, the likelihood of Scott's second card being a red card is 13/25, or around 0.52.
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Pls help me find this answer
Open the picture for the question
Show the working
The division yields 1/14 for the complex fraction.
What is division?Division is one of the four basic operations of arithmetic, along with addition, subtraction, and multiplication. It is an inverse operation to multiplication, meaning that dividing by a number is the same as multiplying by its reciprocal. Division can be thought of as the process of finding how many times a number (the divisor) can fit into another number (the dividend). The result of the division is called the quotient. In some cases, the division may result in a fractional number, representing a partial division. In this case, the result is a rational number, which is a type of real number. Division can also be represented using long division, a method used to divide large numbers or polynomials. It involves dividing the dividend by the divisor one digit at a time, until the division is complete.
Here,
=22/44/7
=22/44*1/7
=1/14
The answer for the complex fraction is 1/14 by the division.
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There are 8 water bottles, and each bottle is 3/4 filled with water. If we pour all the water together, how many water bottles can be filled up?
Answer:
6
Step-by-step explanation:
8 * 3/4 = 24/4 = 6 WATER BOTTLES
"explain how cosine distance is used in k mean
clustering algorithm to remove outliers.
Cosine distance is used in the k-means clustering algorithm to remove outliers. It is a metric used to determine the similarity between two documents. In k-means clustering, cosine distance is used to calculate the distance between data points.
Cosine distance is used to normalize the data so that it is not affected by the length of the data vectors or the scale of the data. The cosine distance is calculated as follows:
Cosine distance = 1 - Cosine similarity,
where Cosine similarity = dot product of two vectors/ product of the magnitude of two vectors.
To remove the outliers from the k-means clustering algorithm, we can set a threshold value for the cosine distance. If the cosine distance between two data points is greater than the threshold value, then those data points are considered outliers and they are not included in the cluster. This helps to ensure that the clustering algorithm only groups together data points that are similar and ignores the outliers.
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assessment started: unit 8 progress check: mcq part a. item 1 let f be the function given by f(x)=3xsinx. what is the average value of f on the closed interval 1≤x≤7 ?
To find the exact value, we would need to evaluate the definite integral, but it may not be practical to do so without further information or using numerical methods.
To find the average value of a function on a closed interval, you need to calculate the definite integral of the function over that interval and divide it by the length of the interval. In this case, we want to find the average value of the function f(x) = 3xsin(x) on the interval 1 ≤ x ≤ 7.
The average value of f on the interval [1, 7] is given by the formula:
Average value = (1/(b - a)) * ∫[a to b] f(x) dx
where a and b are the endpoints of the interval.
In our case, a = 1, b = 7, and f(x) = 3xsin(x). So, we can calculate the average value as follows:
Average value = (1/(7 - 1)) * ∫[1 to 7] (3xsin(x)) dx
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Express the mass of 49,000 molecules of oxygen in scientific notation.
grams
The scientific notation for the mass of 49,000 molecules of oxygen is 4.9 × 10⁴ grams.
How do you define the scientific notation?To transform numbers into scientific notation, use the following rule: In scientific notation, the exponent equals the number of times the decimal point must always be shifted to produce a number between 1 and 10.
The proper scientific notation format is an x 10∧b, where an is a number or decimal number with an absolute value greater or equal to one and less than ten, or 1 |a| 10.Scientific notation is a method of writing extremely large or extremely small numbers in a way that makes them easier to read as well as work with. A number formed by multiplying a number greater or equal to one but less than ten by an integral power of ten.For the given value;
= 49,000 grams
write the number such that only one digit is left to the left of decimal of the number and the remaining digits to the write are written to the power of 10
= 4.9000 × 10⁴
This could be written as;
= 4.9 × 10⁴.
Therefore, the value of the mass of 49,000 oxygen molecules in the form of scientific notation is 4.9 × 10⁴ grams.
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please help retake!!!
Thus after spraying x times the number, of termites \(f(x)=12000*(\frac{1}{4} )^{x}\)
What kinds of numbers are there in math?Whole Numbers: The collection of positive integers that include the number 0. Integers are whole integers that are next to its counterparts (negative numbers). Factorization are any values that may be stated as fractions.
Why are there symbols for numbers?The meaning or numeric magnitude of a numerical sign is the main information it refers to (for example, the number "4" denotes a group of four items). Numerical names, another sort of language processing carried by numerical symbols,
Given that the home was sprayed a certain number of times.
When the home was treated x times, let f(x) represent the number of termites that were there.
We are also informed that a residence has 12,000 termites. The quantity of termites decreased to one-fourth of the previous level each time a house was treated.
Hence, after treating x times as many termites\(=f(x)=12000*(\frac{1}{4} )^{x}\)
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