Answer:
Root is a fancy word for a zero.
Using the quadratic formula you will get
x = 1.2, -.25
B is the correct answer. (-1/4)
The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and the standard deviation is 9 months. Find the probability that a random sample of 31 smoke detectors will have a mean lifetime between 57 and 62 months. Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answer to four decimal places and intermediate : value calculations to two decimal places. P (57 < X < 62) = ___
Answer:
Step-by-step explanation:
credits to numerade
From a sample with n=40, the mean duration of a geyser's eruption is 3.35 minutes and the standard deviation is 0.79 minutes. Using Chebychev's Theorem, determine at least how many of the eruptions lasted between 1.77 and 4.93 minutes.
75% of the eruptions lasted between 1.77 and 4.93 minutes.
Chebyshev's Theorem calculates the proportion of observations that are within a given number of standard deviations of the mean. This theorem is applicable to many different probability distributions. Chebyshev's inequality is another name for Chebyshev's theorem.
According to Chebyshev’s theorem, the proportion of the data lying within k standard deviations of the mean is always at least 1 – 1/k^2, where k>1.
Given
Mean = 3.35
SD = 0.79
Mean – 1*SD = 3.35 – 1*0.79
= 3.35 – 0.79
= 2.56
Mean + 1*SD =3.35 + 1*0.79
= 3.35 + 0.79
= 4.14
Mean – 2*SD =3.35 – 2*0.79
= 3.35 – 1.58
= 1.77
Mean + 2*SD =3.35 + 2*0.79
= 3.35 + 1.58
= 4.93
Here, we have k = 2
For k = 2,
= 1- (1/k2)
= 1- (1/(2)2
= 1- ¼
= ¾
at least ¾ or 75% of all values lie within 2 standard deviations of the mean.
Therefore 75% of the eruptions lasted between 1.77 and 4.93 minutes.
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John has a jar filled with juice. After he poured 350 ml of juice in each 8
glasses he was still left with 200 ml juice in the jar. What was the capacity
of jar in liters?
Answer:
Step-by-step explanation:
If there were 8 glasses of juice, and 350 ml was poured into each glass, then the total amount of juice poured into the glasses would be 8 x 350 = 2800 ml.
After pouring this much juice, John was still left with 200 ml juice in the jar.
Therefore, the capacity of the jar would be the total amount of juice poured into the glasses plus the amount remaining in the jar, which is 2800 ml + 200 ml = 3000 ml.
To convert this volume to liters, we can divide by 1000. Therefore, the capacity of the jar in liters would be 3000 ml / 1000 = 3 liters.
So, the capacity of the jar is 3 liters.
I need help with the slope of the graph of equation y=2x -2 is 2.
What is the y-intercept?
Answer:
hope I help
hope I help hope I help hope I help hope I help
Find y
0
(t), the zero-input response of the response for an LTIC system described by (c) the complex-root system (D
2
+4D+40)y(t)=(D+2)x(t) with initial conditions y
0
(0)=2 and
y
˙
0
(0)=16.78.
The transform ,D2Y(s) + 4DY(s) + 40Y(s) = (D+2)X(s) Therefore, the zero-input response of the system y0(t) is given asy0(t) = (e -2t) - 2(cos6t + sin6t) + 6/5
Given that, LTIC system described by the complex-root system is given below.(D2+4D+40)y(t)=(D+2)x(t)
The zero-input response of the response for an LTIC system is given by the initial conditions. The initial condition for the given system is given below.y0(0)=2 and y˙0(0)=16.78.
Using the Laplace transform method, find the transfer function of the given system .
1: Finding the Laplace Transform for the given system(D2+4D+40)y(t)=(D+2)x(t). First, we need to take the Laplace transform of both sides of the given equation. We know that the Laplace transform of y(t) and x(t) are Y(s) and X(s) respectively. Therefore, we get,D2Y(s) + 4DY(s) + 40Y(s) = (D+2)X(s)
2: Solving for the Transfer Function. We know that transfer function is H(s)=Y(s)/X(s). Therefore, we getH(s)= (D+2)/(D2+4D+40)Taking the Laplace inverse of H(s) gives the zero-input response of the given system y0(t).
3: Finding the Zero-Input Response of the given system. We need to find the partial fraction of the transfer function. For that, solve the following equation.D2+4D+40 = 0. Using the quadratic formula, we get,D = -2 ± 6iTherefore, we get the partial fraction of the transfer function as, H(s)=1/(D+2) - 2/D + 3/5 + (3/5s)
Therefore, the zero-input response of the system y0(t) is given asy0(t) = (e -2t) - 2(cos6t + sin6t) + 6/5
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WILL GIVE BRAINLIEST, please answer quickly!
Which expressions have an estimated value that is close to 12? Check all that apply.
A. 1/5 x 60.14
B. 2/7 x 42/85
C. 3/8 x 31.54
D. 4/7 x 14.82
E. 5/8 x 9.88
Answer:
It would be A and C
Step-by-step explanation:
a ends up being equal to 12.028 and c ends up being equal to 11.827
Answer:
A, B, and C would be your 100% correct answer! :)
Step-by-step explanation:
which degenerate conic is formed when a double cone is sliced through the apex by a plane parallel to the slant edge of the cone?
The degenerate conic which is formed when a double cone is sliced through the apex by a plane parallel to the slant edge of the cone is the "parabolic conic".
What is a double cone?A double cone is formed by two cones that are stacked one on top of the other with their vertices touching and with a common axis. If the slicing plane is parallel to the base of the double cone, it will produce a circle. If the slicing plane is perpendicular to the axis, it will produce an ellipse.
If the slicing plane is at an angle to the base, it will produce a hyperbola.If the slicing plane is parallel to the slant height, it will form a parabola rather than a conic.
a complete cone formed by straight lines through the vertex, the straight lines being indefinitely extended in both directions.
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differentiate the following function f(x)=2x3 6x-1/x 3ex-sin(x)
The differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)
How to differentiate the functionfrom the question, we have the following parameters that can be used in our computation:
f(x) = 2x³ + 6x - 1/x + 3eˣ - sin(x)
The derivative of the functions can be calculated using the first principle which states that
if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹
Using the above as a guide, we have the following:
f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)
Hence, the differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)
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can i get some help with this i suck at algebra
Answer:
Slope-Intercept: C,H,F,I,P,T
Standard: B,D,K,N,O,Q,S
Point-Slope: A,E,G,F,L,M,R
Step-by-step explanation:
Anything with the Y on one side of the equation and an X on the other is Slope-Intercept.
All the standard equations are the ones with the terms (X and Y) on one side of the equation, and a real number on the other.
The Point-Slope are all equations containing a Y value on one side, and an undistributed X value on the other.
Solve for x please help me
Answer:
x=1
Step-by-step explanation:
since the other side is 12 and both sides are even, the right side would be 12 as well
13(1)-1=12
Answer:
x=1
Step-by-step explanation:
I'm not completely sure I'm correct but if 12 and 13x-1 are equal, then try different numbers for x until you find the number that makes 13x-1 equal 12. For example: If x=0, 13(0)-1 equals -1.
if x=1, 13(1)-1 equals 12.
Therefore, x is 1.
ration Numbers
Real Numbers
Integers
Whole
Numbers
Inational
Numbers
The subsets of the real numbers can be represented in a Venn diagram as shown
To which subsets of real numbers does 12 belong?
A
Integers and Whole Numbers only
8
Rational Numbers, Integers, and Whole Nmbers
Rational Numbers and Integers only
D
Irrational Numbers integers, and Whole dumbers
Answer:
12 belongs in the rational numbers, integers, and whole numbers
Step-by-step explanation:
12 is a whole number so it belongs in every category that has whole numbers.
First try was incorrect
A
Average number of minutes talking on a cell phone per day:
0 10 20 30 40 50 60 70
How many people talk more than 40 minutes on their phone per day?
✓
f(x) y X
(>) 5
Answer:
7 minutes a day I think ksiss
the graph appears to show an increase in price of about $_____ over_______ year(s) or about $_______ per year . use graph to justify awnser
Answer:
Hey I would love to help you but can you just add the photo of the graph? That would help a lot!
Step-by-step explanation:
Can someone really help me please
Answer:
6-B, 7-B, 8-A, 9-B, 10-A.
Answer:
6) Letter- B
7) Letter- B
8) Letter- A
9) Letter- B
10) Letter- A
ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!)
Answer:
Step-by-step explanation:
a). 'Per ml' cost of the small size = \(\frac{\text{Sale price of small cane}}{\text{Amount of liquid}}\)
= \(\frac{4.50}{250}\)
= $0.018
'Per ml' cost of the medium size = \(\frac{\text{Sale price of medium cane}}{\text{Amount of liquid}}\)
= \(\frac{9.95}{500}\)
= $0.0199
'Per ml' cost of the large size = \(\frac{\text{Sale price of large cane}}{\text{Amount of liquid}}\)
= \(\frac{16.95}{1000}\)
= $0.01695
Therefore, expression to compare per ml cost of three containers will be,
$0.0199 > $0.018 > $0.01695
b). Least expensive way to buy the cleaner is to choose the container with least per ml cost.
Cost of 1500 ml cleaner = Cost of 1000 ml cleaner + Cost of 500 ml of cleaner
= Cost of 1000 ml cleaner container + Cost of 'n' containers of 250 ml container
Total cost of 1500 ml = $16.95 + $4.50n
= 16.95 + 2(4.5) [For n = 2]
= $25.95
c). Most expensive way to purchase 1500 ml cleaner is to choose the most expensive cleaners
Cost of 1500 ml cleaner = Cost of 'n' containers of medium size containers
= 9.95(n)
= 9.95(3)
= $29.85
I picked the yellow one, was I correct?
Answer:
the answer was 9 (red)
Step-by-step explanation:
The probability that a marksman will hit a target each time he shoots is 0. 89. If he fires 15 times, what is the probability that he hits the target at most 13 times?.
The likelihood that a shooter will hit the target at least 13 times is 27.92%.
Define the phrase "binomial distribution" please.The number of times the target is hit, X, has to be a random variable.The amount of trials ("n") equals 10 as a result of 15 bullets being fired.In such a binomial distribution, "p" symbolizes the probability of success and "q" represents the probability of failure (where q = p - 1)p = 0.89 with q = 0.11 as a result of the 0.89 chance of hitting the target.For such a binomial distribution, the probability density function equals the amount of successes ("x").
P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ
The required number of achievements is five (i.e., x = 13), as we are keen in the development that the objective will be hit exactly five times.
P(X = 13) = ¹⁵C₁₃. (0.89)¹³ (0.11)²
P(X = 13) = 0.2792
P(X = 13) = 27.92%
Therefore, there is a 27.92% chance that a shooter will hit the target at most 13 times.
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What is the measure (in radians) of central angle in the circle below?
15 cm,
3 cm
0
radians
Answer:
∅ = 5 radians
Step-by-step explanation:
\(Arc.Length=2\pi r(\frac{Ctrl.Angle}{360} )\)
\(Ctrl.Angle=\frac{360(Arc.length)}{2\pi r}\)
∅ \(=\frac{(360)(15)}{2\pi (3)}\)
∅ = 286.48°
In radians:
∅ = (286.48)(3.1416)/180 = 5 radians
Hope this helps
which measure of central tendency is most appropriate to summarize the distribution of the variable health and why?
The most appropriate measure of central tendency to summarize the distribution of the variable "health" depends on the data's distribution and the presence of outliers. The mean is suitable for normally distributed data without outliers, while the median is preferable for skewed distributions or data with extreme values.
When summarizing the distribution of the variable "health," it is important to consider the nature of the data and the goals of the analysis.
If the data is normally distributed and there are no extreme outliers, the mean is often the most appropriate measure of central tendency. The mean takes into account all values in the data set and provides a balanced representation of the distribution. It is calculated by summing all the values and dividing by the total number of observations. The mean is particularly useful when the data is symmetrically distributed around a central value.
However, if the distribution of the variable "health" is skewed or contains extreme outliers, the median may be a more appropriate measure. The median represents the middle value in the ordered data set. Unlike the mean, the median is not influenced by extreme values and is less affected by skewed distributions. It provides a robust estimate of the central tendency and is useful when the data contains values that significantly deviate from the majority of observations.
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help me pls reallly fast pls
Answer:
180 degrees.
Step-by-step explanation:
A supplementary angle is an angle which either of two angles whose sum is 180°.
No matter how big the triangle grows, the angles will stay the same degrees all throughout.
Pretty sure this is what you needed, hope this helps!
⦁ Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 3 ft2, and the prism stands 3.2 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 35 ft2.
⦁ Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping.
⦁ How much roping does he purchase?
⦁ Leo plans to add gold leaf to the sides of the stand but not to the two bases.
⦁ What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.
If the surface area of the stand to be 35 ft². The number of ropes purchase is 45.3125ft and Percent of stand area is 83%.
Number of ropes and Percent of stand areaGiven:
Base area=3ft²
Height=3.2 feet
Surface area=35ft²
a. Number of ropes
Surface area=2×Base area×Base perimeter×Height
Base perimeter(BP):
35=2×3+BP×3.2
35=6+3.2BP
Collect like term
3.2BP=35-6
3.2BP=9
Divide both side by 3.2BP
BP=29/3.2
BP=9.0625ft
Number of ropes=5×9.0625ft
Nimber of ropes=45.3125ft
b. Percent of stand area:
Percent of stand area=(9.0625ft×3.2)÷35ft²
Percent of stand area=29ft²÷35ft²×100
Percent of stand area=82.857ft×100
Percent of stand area=83% (Approximately)
Therefore the number of ropes purchase is 45.3125ft and Percent of stand area is 83%.
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What is the surface area of this square base pyramid? 3 cm 2 cm 2 cm
Answer: I have no idea my friend but it's real hard Iwish you luck!
Answer:
16.
Step-by-step explanation:
The formula for a triangle is \(\frac{1}{2} * b * h\)
So, we take the triangle we see and but in in the formula.
\(\frac{1}{2} * 2 * 3 = 3.\)
Multiply that by 4, because there are four triangles that size.
\(3 * 4 = 12.\)
Now, we multiply 2 times 2 because that's the surface area for the bottom.
\(2 * 2 = 4.\)
Now, we add the two.
\(12 + 4 = 16.\)
What other information do you need in order to prove the triangles congruent using the SAS congruent postulate?
The information required to prove the triangles are congruent using SAS is
Line BD = line CDLine AB = Line ADWhat are congruent triangles?The term congruent triangles refers to triangles that has the dimensions of the sides and angles equal
In such a triangle, the side equivalent to the angles in comparison will be equal and so are the angles. Hence a congruent triangle is a copy of the other triangle
There are various theorem of proving congruent triangles but the one necessary here is the SAS which is Side - Angle - Side.
Since all the angles are given to be congruent any of the sides with the included angle forms the SAS theorem
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You are a delivery manager at MN Company, a wholesale lollipop. The
company employs 2 drivers and owns 1 van (2 shifts: day shift and night shift) Each van can deliver up to 5,000 lollipops a shift. The company has standing orders for 8,500 lollipops a day, but for the Kindergarten opening, the company expects to increase sales 150% more. For the new expectation,
how many drivers and vans do you need?
For the new expectation, 3 drivers and 2 vans are needed.
To determine, for the new expectation, how many drivers and vans do you need, the following calculation must be performed:
8500 x 1.5 = 12750 5000 x 3 = 15000Therefore, for the new expectation, 3 drivers and 2 vans are needed.
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reduce to the simplest form\(\frac{286}{858}\)
Answer:
143 over 428
Step-by-step explanation:
What type of graph represents the solution of the equation y= 2x+4?
A- a vertical line passing through the point (0,4)
B- a horizontal line passing through the points (0,4)
C- a line falling from left to right and passing through the point (0,4)
D- a line rising from left to right and passing through the point (0,4)
Answer:
D
Step-by-step explanation:
rise 2 the go 1 to the right
what involves asking questions and answering those questions using statistical and quantitative tools for explanatory and predictive analysis?
A process of analysing, purifying, manipulating, and modelling data in order to find relevant information, come to conclusions, and enhance decision-making is known as data analytics.
It entails posing queries and providing answers utilising quantitative and statistical methods for explanatory and prescriptive analysis. Descriptive, diagnostic, predictive, and prescriptive analytics are the four basic categories of data analysis.
Diagnostic analytics is used to determine the reason why something occurred, whereas descriptive analytics is used to report what has already occurred.
The use of predictive analytics, on the other hand, enables the prediction of likely future events. Last but not least, prescriptive analytics is employed to decide what steps should be taken in order to accomplish a particular result or goal in light of the knowledge gleaned from descriptive, diagnostic, and predictive analytics.
By using these different types of analytics, individuals will be able to gather and analyze data to better understand trends, identify problems, and make informed decisions.
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) : I take a fair standard 6 -sided dice and roll it 10 times. Let A denote the event that the sum of the values of all your rolls is at least 59 . Let B denote the event that you get exactly four 2's. Let C denote the event that you get exactly six 3's. a. (4 points) What is P(A)? (4 points) What is P(B∪C) ?
The given scenario involves rolling a fair standard 6-sided dice 10 times. We need to calculate the probabilities of two events: A, which denotes the event that the sum of all the rolls is at least 59, and B∪C, which denotes the event of getting exactly four 2's or exactly six 3's.
The probability of event A, P(A), can be calculated using combinatorial techniques and the concept of the probability mass function. Since there are 10 rolls and each roll has 6 possible outcomes (numbers 1 to 6), the total number of possible outcomes is 6^10. To find the favorable outcomes for event A, we need to consider the combinations of numbers on the dice that sum up to at least 59. By evaluating these combinations, we can determine the probability of event A occurring.
To calculate the probability of event B∪C, P(B∪C), we need to find the probability of either getting exactly four 2's or exactly six 3's. This can be done by evaluating the favorable outcomes for each event separately and then adding those probabilities together. The probabilities of getting exactly four 2's and exactly six 3's can be calculated using combinatorial techniques and the probability mass function.
In conclusion, to determine the probabilities of events A and B∪C, we need to consider the combinations of dice rolls and their sums, as well as the number of favorable outcomes for each event. The probabilities can be calculated using combinatorial techniques and the concept of the probability mass function.
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What iS the function rule for the line?
Answer:
It’s b
Step-by-step explanation:
Dion is interested in study individual's affinity for warm weather. He decides to sample residents of Miami, Florida, and randomly selects individuals on the beach to complete his survey. Dion's study most likely suffers from:
Dion's study suffers from selection bias as his sample of individuals on the beach in Miami may not be representative of the entire population's affinity for warm weather.
This is because he is only sampling residents of Miami, Florida, who are on the beach.
This group may not accurately represent the entire population's affinity for warm weather, as it excludes those who may not enjoy the beach or may not have the opportunity to visit the beach.
A more representative sample would include individuals from various locations and backgrounds to better assess the affinity for warm weather across the population.
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