In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. the 90% confidence interval for the levels of lead is between (0.4958, 0.7422).
p is 26/42=0.6190
rootp(1-p)/n=root0.6190(1-0.6190)/42=0.0749
satisfies that above this and under the standard normal density there is an area of 0.05. In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. the 90% confidence interval for the true population proportion of water specimens that contain detectable levels of lead is between (0.4958, 0.7422).
Density is the number of things—which could be people, animals, plants, or objects—in a certain area. To calculate density, you divide the number of objects by the measurement of the area. The population density of a country is the number of people in that country divided by the area in square kilometers or miles.
Learn more about specimen here:-
brainly.com/question/29348024
#SPJ4
if the polynomial is divided by (x+4), the quotient is x^2-x+8, and the remainder is -6. Find the original polynomial
The original polynomial is x^3 - x^2 + 8x + 26.
How to find the original polynomialThe division of a polynomial by a linear factor (x + 4) can be reversed by multiplication:
f(x) = (x^2 - x + 8) * (x + 4) + (-6)
Expanding the product on the right-hand side, we get:
f(x) = x^3 - x^2 + 8x + 32 - 6
f(x) = x^3 - x^2 + 8x + 26
Learn more about polynomial at:
https://brainly.com/question/4142886
#SPJ1
Triangle ABC has vertices A(−5, 6), B(−3, 2), and C(−1, 2). If △ABC is reflected across the x-axis and translated using the following rule (x, y) (x+4, –y). What are the vertices of the image of △ABC ?
The image of △ABC is the triangle with vertices (-1, -6), (1, -2) and (3, -2)
How to Solve for Vertices?The image of point (x,y) after reflecting across the x-axis is (x, -y) and after the translation it is (x + 4, -y).
Applying these transformations to each vertex of △ABC:
A(−5, 6) becomes (-5, -6) after reflection, which becomes (-1, -6) after translation.B(−3, 2) becomes (-3, -2) after reflection, which becomes (1, -2) after translation.C(−1, 2) becomes (-1, -2) after reflection, which becomes (3, -2) after translation.So, the image of △ABC is the triangle with vertices:
(-1, -6)(1, -2)(3, -2)Learn more about vertices here: https://brainly.com/question/1217219
#SPJ1
draw similar rectangles that are in the ratio of 2/3. What is the ratio of the areas of the rectangles you drew.
The ratio of the areas of the rectangles will be 4:9.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
We know that the sides cannot be the same because it is a rectangle, therefore there is a width and length.
For the width, which is the shortest side, we will keep the radius as it is, that is, for rectangle 1 it will be 2 and for rectangle 2 it will be 3.
For the length, which is the longest side, we multiply the radius by two, which means that rectangle 1 will be 4 (2 x 2) and for rectangle 2 it would be 6 (2 x 3)
If we calculate the area it would be:
Rectangle 1:
2 x 4 = 8
Rectangle 2:
3 x 6 = 18
This means that the radius is 8/18 = 4/9
To know more about similarities follow
https://brainly.com/question/13010212
#SPJ1
What are the new coordinates of the following image after a reflection over the x-axis and a translation of -2 vertically and 5 horizontally? PLEASE HELP
the answer is in the picture.. if you have any questions feel free to ask
a random sample of 100 kernels is taken from a population in hardy-weinberg equilibrium. it is found that 9 kernels are yellow, and 91 kernels are purple. what is the frequency of the yellow allele in this population?
100 kernels are randomly selected from a population that is in Hardy-Weinberg equilibrium. 9 yellow kernels and 91 purple kernels are discovered. In this population, the yellow allele is 0.09 times more common.
Both citizens who are physically present in a country or who are temporarily away from it, as well as all foreigners who have permanently emigrated to that country, are included in the phrase "people." This indicator represents the population of a particular area. Growth rates are used to describe the differences in population that occur each year as a result of births, deaths, and net migration. In 2022, Russia had the highest population density in Europe—144.7 people per square mile. In terms of population size, Turkey came in second with 85 million people, followed by Germany with 83.4 million, the United Kingdom with 67.4 million, and France with 65.6 million. Vatican City has a population of just over 800, making it the world's least populous country. Vatican City is the smallest totally sovereign nation-state in the world.
The frequency is 9/10 or 0.09
Learn more about population here
https://brainly.com/question/29885712
#SPJ4
The distance a bus travels varies directly with time as shown in the table.
Time (h), x Distance (mi), y
1.5 93.75
3 187.5
4.5 281.25
6 375
Write the constant variation and the mph
The constant variation rate is given as follows:
62.5 miles per hour.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
Hence we can solve for the constant as follows:
k = y/x.
In the context of this problem, the constant variation rate is the constant of the proportional relationship, obtained dividing one output by it's respective input, hence:
k = 375/6
k = 62.5 miles per hour.
More can be learned about proportional relationships at https://brainly.com/question/7723640
#SPJ1
5. Rewrite each of the following in simplest form by combining like terms.
(b) -2n+10n
(c) 8y-14y
(a) 9x+14x
CONS
(d) -6w-11w
(B) 8n (C) -6y (A) 23x (D) -17w
Evaluation:
B. 10 + (-2) is the same as 10 - 2, the answer is 8.
C. 8 - 14 could be rewritten as -14 + 8, depending on which is easier to comprehend. The answer is -6
A. 9 + 14 = 23.
D. -6 - 11 is the same as -11 + (-6), which is -17.
Cheers,
qxxi
eventually, the markov chain will end up in state 2. what is the probability that when the process moves into state 2, it does so from state 1?
For the markov chain will end up in state 2, the probability that when the process moves into state 2, it does so from state 1 will be calculated as:
Let,
[tex]\tau = \min\{n: X_{n+1}= 2\}[/tex]
Now,
[tex]p_{i,j} = P(X_{\tau}=i|X_{0}=j)[/tex]
We can observe that,
[tex]p_{0,0} = P(X_{\tau}=0|X_{0}=0) = \sum_{k=0}^{2}{P(X_{\tau}=0,X_{1}=k|X_{0}=0)} [/tex]
[tex]=\sum_{k=0}^{2}{P(X_{1}=k|X_{0}=0)P(X_{\tau}=0|X_{1}=k,X_{0}=0)}[/tex]
A Markov chain or Markov process is a stochastic model that depicts a series of potential events where each event's likelihood is solely determined by the state it reached in the previous event. This can be thought of colloquially as, "What happens next depends only on the situation right now. Discrete-time Markov chains (DTMC) are produced by a countably infinite sequence where the chain changes state at distinct time steps. A continuous-time Markov chain (CTMC) is a continuous-time process. It bears the name Andrey Markov after the Russian mathematician. As statistical representations of processes in the real world, Markov chains have numerous uses.
To learn more about Markov Chain: https://brainly.com/question/15202685
#SPJ4
Use the two-way frequency table to complete the relative frequency table. Drag the numbers into the boxes.
According to the information, it can be inferred that the percentages are from left to right and from top to bottom the following: 27, 21, 49, 37, 14, 51, 64, 36, 100.
How to find the percentage that each value is equivalent to?Based on the information in the upper box, we must find the percentage to which each of the values in the lower box is equivalent. To find these percentages we must perform the following mathematical procedure:
1. We must make the rule of three in which the total equals 100%, then we must multiply each of the values in the upper box by one hundred and then divide it by 70.
With the previous procedure we will have the possibility of finding all the values as shown in the table below.
Learn more about percentages in: https://brainly.com/question/29306119
#SPJ1
What is the lateral surface area of the triangular prism shown below?
150 cm2
40 cm 2
190 cm2
170 cm2
The area of the triangular prism is calculated as; 170 cm²
How to find the Lateral Surface Area of the Prism?The given triangular prism when broken down is made up of;
2 triangles (top and bottom)
2 side rectangles
1 back rectangle
Formula for area of triangle = ¹/₂ * base * height
Formula for area of rectangle = length * width
Thus;
Area of trapezoid = 2(¹/₂ * 5 * 4) + 3(10 * 5)
Area = 20 + 150
Area = 170 cm²
Read more about Prism Lateral Surface Area at; https://brainly.com/question/1297098
#SPJ1
What is the image of (−4,−4) after a dilation by a scale factor of 5 centered at the origin?
The required image of (−4,−4) after dilation by a scale factor of 5 centered at the origin is (-20, -20).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
A dilation with a scale factor of k, centered at the origin, will take a point (x,y) in the pre-image to the point (kx,ky) in the image.
Given the required image of (−4,−4) after dilation by a scale factor of 5 centered at the origin.
For x-coordinate:
- 4 × 5 = -20
For y-coordinate:
- 4 × 5 = -20
Thus, the required coordinates are (-20, -20).
To learn more about the transformations click here :
https://brainly.com/question/28029674
#SPJ1
assuming the number of arrivals per time period is poisson distributed with a mean arrival rate of 6 customers per hour, what is the mean interarrival time? a. 10 minutes b. 3 minutes c. 6 minutes d. 20 minutes
If the mean arrival rate is 6 customers per hour, then the mean inter-arrival time is calculated to be 10 minutes.
The mean arrival rate of customers = 6 customers/ hour.
Therefore, the mean inter-arrival rate is given as:
Mean inter-arrival rate = 1/ mean arrival rate = 1/6 hour = 1/6 * 60 minutes = 10 minutes.
The inter-arrival time is the time between two consecutive arrivals and is often modeled as an exponential random variable. The exponential distribution has a mean equal to the reciprocal of the rate parameter, which in this case is 6 customers per hour. So, the mean inter-arrival time is 1/6 hour or 10 minutes.
Learn more about exponential distribution here brainly.com/question/16971120
#SPJ4
(3^3-6.8)divided by 7
Answer:
Yurrrr Tha answer to your question is 2.8
Step-by-step explanation:
now tha full Answer is 2.88571429
but hope this help and hope you pass type xhii
9. the scenario in problem 14 generates an extraneous solution. neither solution makes a denominator equal zero. why can we not use both solutions?
An extraneous solution is not part of the solution set because it is not valid in the original problem context and may not satisfy the problem's constraints.
The scenario in problem 14 generates an extraneous solution because it is a solution obtained by squaring both sides of an equation, which can lead to extraneous solutions. These extraneous solutions may not satisfy the original equation, and hence, cannot be considered as a valid solution. To determine if a solution is extraneous, we must check if it satisfies the original equation. If it does not, then it is considered extraneous and should not be used.
In other words, an extraneous solution is an extraneous or unintended answer that is obtained as a result of an error in the solution method, but it may not satisfy the original equation or problem. This can occur when using algebraic methods that involve squaring, square roots, or other operations that can cause the equation to change in such a way that some solutions are no longer valid. To ensure that a solution is valid, it is always important to check that the solution satisfies the original equation, and not just the simplified or transformed equation.
Learn more about equation here:
https://brainly.com/question/29174899
#SPJ4
A management dilemma defines the research question.True or False
A management conundrum is an issue or difficulty that a manager faces that necessitates a choice. This difficulty or challenge frequently defines the study question and motivates researchers to conduct research to discover a solution that is the given statement is true.
What is research?Mathematics research is the long-term, open-ended investigation of a series of connected mathematical issues, the answers to which connect to and build upon one another. Because students always come up with new questions to ask based on their observations, problems are open-ended. Mathematics research is the long-term, open-ended investigation of a series of connected mathematical issues, the answers to which connect to and build upon one another. Because students always come up with new questions to ask based on their observations, problems are open-ended. Student research also has the following characteristics: Students create questions, tactics, and outcomes that are, at least for them, unique. Students employ the same broad techniques as research mathematicians. They go through data collection, visualization, abstraction, conjecture, and proof cycles.
To know more about research,
https://brainly.com/question/24250717
#SPJ4
PLS PLS ANWSer ASAP ITS GRADED I NEEd at least
Answer:
The third angle is 60
Step-by-step explanation:
The interior angle of a triangle is equal to the 180 minus the exterior angle.
[tex]180-80=100[/tex]
So one of the interior angles is equal to 100
All of the interior angles of a triangle add up to 180
[tex]180=100+20+x[/tex]
[tex]x=60[/tex]
HELP pls will mark you the brainliest. Please show your work too.
Answer:
Below
Explanation:
y = 1/2 x + 1
y = 3/2x + 4 Use first equation to sub in for y ( equate the equations)
1/2 x + 1 = 3/2 x + 4 solve for 'x'
-3 = x then use this value in one of the equations to calculate 'y'
y = 1/2 x + 1
y = 1/2 (-3) + 1 = - 1/2
an aircraft carrier made a trip to dry dock and back. the trip took ten hours and the trip back took 11 hours. what was the aircraft carriers average speed on the trip there if it averaged 20 km/h on the return trip?
(please provide a step by step in simple terms, I'm about to cry)
The average speed of aircraft to dry dock on the trip is given by the equation S₁ = 8 km/h
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the average speed to dry dock be represented as S₁
The time for aircraft for dry docking = 10 hours
Now , the equation will be
The average speed on the return trip S₂ = 20 km/h
The time for aircraft for the return trip = 11 hours
So , Speed = Distance / Time
Substituting the values in the equation , we get
The distance = average speed on the return trip S₂ x time
On simplifying the equation , we get
The distance D = 20 x 11 = 220 km
And , the average speed to dry dock S₁ = 220 km / 10 hour
On simplifying the equation , we get
The average speed to dry dock S₁ = 22 km/hr
Hence , the average speed is 22 km/hr
To learn more about speed click :
https://brainly.com/question/19930939
#SPJ1
Which graph below does not represent a function of x? A B 5432 1 0 1 2 3 4 5 S43N 5 y 2 -5 -4 -3 -2 -1 0 -1 -2 24EN -4 -5 1 2 3 4 5 C D 5 3 2 0 1 2 3 4 5 5 737 7 4 2 1 -5-4-3 -2 -10 -1 N345 -2 -4 -5 DU 1 2 3 4 5
The graph that represents the compound inequality –3 < n < 1 is option C.
What is inequality?The two sides of a mathematical equation having an inequality must be equal. We compare two values via inequality rather than equations. The equal sign is replaced by the signs less than (or less than or equal to), greater than (or greater than or equal to), or not equal to.
The straight line from -3 to 1 with a hollow circle at the -3 point and the 1 point serves as the graph for the compound inequality -3 n 1. This is because n can only have values larger than -3, excluding -3, and less than -1, excluding -1, according to the symbol.
Therefore, the graph that represents the compound inequality –3 < n < 1 is option C.
To learn more about inequalities visit:
brainly.com/question/20383699.
#SPJ1
1. Simplify the following expression. (84x + 82y) - (14x + 38y)
Answer:
70x+44y
Step-by-step explanation:
step 1: distribute
84x+82y−(14x+38y)
84x+82y−14x−38y
step 2: combine like terms
84x+82y−14x−38y
84+82−14−38
70x+44y
A rectangular prism has a width of 4 inches, a height of 6 inches, and a total volume of 192 cubic inches. What is the length of the rectangular prism?
A. 6
B. 8
C. 12
D.15
(Please tell me how to show my work)
Marcy works as a server at the Cass Restaurant. The amount of money she earns during a shift depends on the number of tables she serves. m = the amount of money Marcy earns t = the number of tables Marcy serves Which of the variables is independent and which is dependent?
If you divide $320 by 40 your answer is 8, so Mary probably earns 8 dollars an hour.
an urn contains 5 red and 3 green balls. the balls are chosen at random, one by one, from the urn. if a red ball is chosen, it is removed. any green ball that is chosen is returned to the urn. the selection process continues until all of the red balls have been removed from the urn. what is the mean duration of the game?
The mean duration of the game will be 70%.
The likelihood of not receiving any color will be equal to the likelihood of receiving one fewer ball of each hue:
P(green) = 2/5 P(red after green) = 3/6
P(green after yellow after red) = 1/4 0.5 x 0.4 x 0.25 = 0.05
Suppose we follow a different order:
Yellow has the following probabilities: P(yellow) = 1/6, P(red after yellow) = 3/5, and P(green after red after yellow) = 2/4.
As you can see, we also get denominators of 4,5,6, and numerators of 1, 3, and 2!
Therefore, the result probably will be 0.05 for any feasible combination (believe me on this one)!
How many possible combinations exist?
RGY\sRYG\sYGR\sYRG\sGRY\sGYR
6 combinations are thus feasible. The likelihood of each at 0.05 times 6 equals 0.3.
6 combinations are thus feasible. The likelihood of each at 0.05 times 6 equals 0.3.
The likelihood of all outcomes minus the ones we discovered, or 1 - 0.3 = 0.7, is the probability of not receiving distinct colors.
So 70% is the answer.
Know more probably
https://brainly.com/question/13604758
#SPJ4
You and your sister are saving money from your allowances. You have $25 and you save $3 each week. Your sister has $40 and she saves $2 each week. In how weeks, you and your sister will have the same amount of money; and at the time, you both will have how much?
Answer:
15 weeks
Step-by-step explanation:
1 write an equation fore each
you sister
y=25+3x y=40+2x
y is total money and x is weeks
we want to find when they have the same amount of total money we set them equal to echother
25+3x=40+2x
-2x -2x
25+x=40
-25 -25
x=15
you will have the same amount as yore sister in 15 weeks
Answer:
see below
Step-by-step explanation:
you: 25 +$3 /week * x weeks
sis: 40 + 2/week * x weeks
they have to equal to each other
so 25 + 3x = 40 +2x
move x around & simplify
so x = 15
total 25+3*15 = 25+45 = 70
After 16 years in an account with a 4.8% annual interest rate compounded continuously, an investment is worth a total of $38,744.77. What is the value of the principal investment? Round the answer to the nearest penny.
$18,068.73
$20,676.04
$17,975.25
$20,769.52
$18021 is value of the principal investment
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that after 16 years in an account with a 4.8% annual interest rate compounded continuously an investment is worth a total of $38,744.77
We have to find the value of the principal investment
[tex]A=Pe^{rt}[/tex]
Where P is the principal amount, r is rate of interest and A is total amount.
[tex]38744.77=Pe^{0.048(16)}[/tex]
[tex]38744.77=Pe^{0.768}[/tex]
38744.77=2.15P
Divide both sides by 2.15
18021=P
Hence, $18021 is value of the principal investment
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ1
Answer:
its the 1st option
Step-by-step explanation:
i jus took the test
Find a solution to the system of equations 
The solution to the system of equations is (-2, -2)
How to determine the solution to the systemFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have two lines that intersect at the point (-2, -2)
The point of intersection represent the solution
This means that the solution to the system of equations is (-2, -2)
Hence, the required solution is (-2, -2)
Read more about system of equations at
https://brainly.com/question/13729904
#SPJ1
Do the ratios 6:10 and 10:60 form a proportion?
Answer:
No, the following ratios are not proportional, because they are not equal, nor can be reduced.
Step-by-step explanation:
Hope it helps! =D
an obtuse triangle has integer length sides. if two sides of the triangle are 16 and 21, how many possible lengths are there for the third side?
For the obtuse triangle with 16 and 21 as two sides of the triangle there are 18 possible lengths for the third side
What is an angle?An angle is the opening formed by two half-straights (sides) with the same origin called vertex. For example, within a triangle there are three angles, which in total add up to 180°.
With the obtuse triangle we have the following rule:
a^2 + b^2 < c^2
a + b > c
So, lets called the third side (c)
c + 16 > 21 = c > 5
c+21 > 16 = c > - 5
21 + 16 > c = 37 > c
The third side must be: 5 < c < 37
To be an obtuse triangle we have:
c^2 > 21^2 +16^2
c^2 > 697
c > 26 (positive integer)
Calculating if the other angles are obtuse:
21^2 > c^2 + 16^2
c^2 < 185
c < 14
16^2 > c^2 + 21^2
c^2 < a negative integer, not possible
This means that for the angle opposite the third side to be obtuse should be:
26 < c < 37
27,28,29,30,31,32,33,34,35,36 = 10 possible lengths
And for the angle opposite the side 21 to be obtuse, should be:
5 < c < 14
6,7,8,9,10,11,12,13 = 8 possible lengths
Total possible lengths = 10 + 8 = 18 possible lengths
Learn more about angles at: brainly.com/question/25716982
#SPJ4
# 7.
5 years ago Riley bought a dryer. Every year
for the past 5 years the dryer has lost 15 percent
of its value. The current value of the dryer is
$100. How much did Riley pay for the dryer 5
years ago?
The amount that Riley paid for the hair dryer is $225.37.
How much was paid for the hair dryer?Given the information in the question, the dryer is depreciating in value. Depreciation is when the value of an asset declines with the passage of time.
The formula that can be used to determine the amount paid for the hair dryer is:
p = FV / (1 - r)^n
Where:
p = current price of the dryer r = rate of depreciation n = number of yearsp = $100 / (1 - 0.15)^5
p = $100 / 0.85^5
p = $225.37
To learn more about depreciation, please check: https://brainly.com/question/25552427
#SPJ1
Is the equation x+5=8 balanced
Answer: Yes
Step-by-step explanation: The value of x is 3 therefore the equation is balanced.