Answer:
-14
Step-by-step explanation:
in utah, if not directly involved in diving activity, motorized vessels and personal watercraft (pwcs) must remain what distance from diver down flags?
In Utah, if not directly involved in diving activity, motorized vessels and personal watercraft (PWCs) must remain 150 feet from the diver down flags.
The diver down flag is a banner that is used by vessels to indicate that divers are in the water. It is typically a red flag with a white diagonal stripe that is used to indicate the presence of divers in the water. The flag must be at least 12 x 12 inches in size and must be clearly visible from all directions. When the flag is raised, boaters are expected to keep a safe distance from the divers and to take extra precautions to ensure that they do not pose a hazard to the divers.The diver down flag should be used whenever there are divers in the water. This includes scuba divers, free divers, and anyone else who is swimming or diving underwater. The flag should be raised before the divers enter the water and should be lowered when they exit the water. In addition to the flag, divers are required to use other means of indicating their presence in the water, such as lights and audible signals, to ensure that boaters can see and hear them. Motorized vessels and personal watercraft (PWCs) must remain at least 150 feet from the diver-down flag. This means that they must keep a safe distance from the divers and take extra precautions to ensure that they do not pose a hazard to the divers. If a motorized vessel or PWC is directly involved in the diving activity, such as transporting divers to and from the dive site, they may operate closer to the flag, but they must still maintain a safe distance from the divers at all times.
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If we write down all the numbers from 1 to 107 (including 1 and 107), how many digits in total will we write down?
Functions please help
Answer:
Step-by-step explanation:
A) 700 cookies in 7 days.
im not sure of B
Divide 320 into 8 equal groups
Answer:
320 divided by 8 is 40. 40 times 8 is 320, so it works backwards.
When dividing 320 into 8 equal groups, each group would contain 40.
We have to divide 320 into 8 equal groups.
Performing the division as
8 | 320 | 40
320
-_______
0
So, 320 ÷ 8 = 40
Therefore, when dividing 320 into 8 equal groups, each group would contain 40.
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(a) What is the present value of $28,500 due 9 periods from now, discounted at 9% ? (For calculation purposes, use 5 decimal places as displayed in the factor table provided. Round answer to 2 decimal places, e.g. 25.25.) Present value of an amount $ (b) What is the present value of $28,500 to be received at the end of each of 6 periods, discounted at 9% ? (For calculation purposes, use 5 decimal places as displayed in the factor table provided. Round answer to 2 decimal places, e.g. 25.25.)
(a) the present value of $28,500 due 9 periods from now, discounted at 9%, is approximately $14,656.01
(b) the present value of $28,500 to be received at the end of each of 6 periods, discounted at 9%, is approximately $132,937.51
(a) To calculate the present value of $28,500 due 9 periods from now, discounted at 9%, we can use the present value formula:
Present Value = Future Value / (1 + Interest Rate)^Number of Periods
Plugging in the values, we have:
Present Value = $28,500 / (1 + 0.09)^9
Calculating this expression gives us:
Present Value = $28,500 / 1.9487179487
Present Value ≈ $14,656.01
Therefore, the present value of $28,500 due 9 periods from now, discounted at 9%, is approximately $14,656.01.
(b) To calculate the present value of $28,500 to be received at the end of each of 6 periods, discounted at 9%, we can use the present value of an annuity formula:
Present Value = Cash Flow * (1 - (1 + Interest Rate)^(-Number of Periods)) / Interest Rate
Plugging in the values, we have:
Present Value = $28,500 * (1 - (1 + 0.09)^(-6)) / 0.09
Calculating this expression gives us:
Present Value ≈ $132,937.51
Therefore, the present value of $28,500 to be received at the end of each of 6 periods, discounted at 9%, is approximately $132,937.51.
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A rhomboid-shaped field has a base of 178 meters and a height of 4.5 decameters. This year the field produced an average of 20 kilograms of potatoes per square decameter. How many megagrams of potatoes are made in all?
Need step by step explanation + I’ll give brainliest. This is due tmr.
The field produced 160.2 megagrams of potatoes.
To find the total megagrams of potatoes made in the field, we need to first find the area of the field.
Area of a rhomboid = base x height
Area = 178 meters x 4.5 decameters
Area = 178 meters x 45 meters
(1 decameter = 10 meters)
Area = 8010 square meters
Now we can find the total amount of potatoes made in the field:
Total potatoes = area x yield
Total potatoes = 8010 square meters x 20 kilograms per square decameter
Note: we need to convert the yield to kilograms per square meter to make the units consistent.
Total potatoes = 160,200 kilograms
Finally, we need to convert kilograms to megagrams:
1 megagram = 1000 kilograms
Total potatoes = 160,200 kilograms ÷ 1000 = 160.2 megagrams
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solve pls brainliest
Answer:
16 sq mm
Step-by-step explanation:
hope this helps
does 3x-4=2(x-3)+x have infinite solutions
I don't want the answer I just want to know how to do it
Answer:
1st- thorn forest - forest which have many thorns it is in rajasthan
2nd- evergreen forest - a forest whose trees are rest green in any season
3rd- Amazon forest - in Amazon forests there are many poisonous snake, frogs etc. like anacondas and wild animals.
Step-by-step explanation:
During a single day at the radio station Wmzh
The probability that a particular song is played is 50% what is the probability that this song will be played on at least 2 days out of 4 days?
The probability that the particular song will be played on at least 2 days out of 4 is 0.6875.
To find the probability that a particular song will be played on at least 2 days out of 4 days, we need to consider the different combinations of days on which the song can be played.
Let's denote P as the probability that the song is played on a particular day (which is 50% or 0.5), and Q as the probability that the song is not played on a particular day (which is 1 - P, or 0.5 in this case).
To calculate the probability of the song being played on at least 2 days, we can consider the following scenarios:
The song is played on exactly 2 days out of 4:
This can happen in 4C2 = 6 different ways (where 4C2 is the number of combinations of choosing 2 days out of 4). The probability of this scenario is P^2 * Q^2.
The song is played on exactly 3 days out of 4:
This can happen in 4C3 = 4 different ways. The probability of this scenario is P^3 * Q.
The song is played on all 4 days:
This can happen in 4C4 = 1 way. The probability of this scenario is P^4.
To find the overall probability, we sum up the probabilities of these scenarios:
Probability of the song being played on at least 2 days out of 4 = (6 * P^2 * Q^2) + (4 * P^3 * Q) + (1 * P^4)
Substituting the value of P (0.5) and Q (1 - P = 0.5), we have:
Probability of the song being played on at least 2 days out of 4 = (6 * 0.5^2 * 0.5^2) + (4 * 0.5^3 * 0.5) + (1 * 0.5^4)
Simplifying the expression, we get:
Probability of the song being played on at least 2 days out of 4 = (6 * 0.25 * 0.25) + (4 * 0.125 * 0.5) + (1 * 0.0625)
Probability of the song being played on at least 2 days out of 4 = 0.375 + 0.25 + 0.0625
Probability of the song being played on at least 2 days out of 4 = 0.6875
Therefore, the probability that the particular song will be played on at least 2 days out of 4 is 0.6875.
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Modeling With Systems of Equations Quick Check
1 of 5Items
Assessment started: Modeling With Systems of Equations Quick Check.
Item 1
Two of the top-grossing concert tours were by a jazz band and a rock band. Together the two tours visited 177 cities. The jazz band visited 91 cities more than the rock band. Taking into account the constraint that the rock band must visit no less than 50 cities, find how many cities each group visited and determine whether the solution is viable or nonviable.(1 point)
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is nonviable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.
The jazz band visited 134 cities and the rock band visited 43 cities. The solution is viable.
Answer:
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is viable.
Step-by-step explanation:
Answer:
The jazz band visited 124 cities and the rock band visited 53 cities. The solution is nonviable.
Step-by-step explanation:
Find the length of a side of the
square shown below.
х
6V2
X =
x = [?]
Answer:
x=6
Step-by-step explanation:
In a square, its angles are all 90 degrees. So, cutting a square in half into two triangles from corner to corner produces 45 degree angles on both sides. Since the triangles are now 45-45-90 triangles, we can use the rule where the hypotenuse of the triangle is equal to the square root of 2 times the length of either side. So, the side length is 6.
What is the percent decrease from 100 to 82
Percent decrease from 100 to 82 is 18% decrease.
Calculating the % decrease from 100 to 82,
\(\frac{82-100}{100}\)×100%
\(\frac{-18}{100}\)×100%
on simplifying we get,
-18%
here, negative sign indicates that there is a decrease of percentage.
Hence, we get 18% decrease from 100 to 82.
How to calculate Percent decrease?
Do the % growth and reduction calculations. By dividing the new number by the initial value, the percentage is computed.
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Triangle LMN has a vertical height of 2 units and a horizontal length of 3 units. Triangle NOP has a vertical height of 4 units and an unknown horizontal length.
Answer:
32
Step-by-step explanation:
COME HERE IF U KNOW HOW TO ROUND
Round to the nearest one:
850,265.2
Answer:
850265
Step-by-step explanation:
The polynomial 2 x³+9 x²+4 x-15 represents the volume in cubic feet of a rectangular holding tank at a fish hatchery. The depth of the tank is (x-1) feet. The length is 13 feet.
c. What is its volume? Do you get the same volume if you substitute the value of x into 2 x³+9 x²+4 x-15 ?
The volume of the rectangular holding tank can be found by substituting the values into the polynomial. The volume is 2x³ + 9x² + 4x - 15.
To find the volume of the tank, we substitute the given values into the polynomial equation. The length of the tank is 13 feet, so we substitute x = 13 into the polynomial.
Volume = 2(13)³ + 9(13)² + 4(13) - 15
= 2(2197) + 9(169) + 52 - 15
= 4394 + 1521 + 52 - 15
= 6952
Therefore, the volume of the rectangular holding tank is 6952 cubic feet.
To check if we get the same volume by substituting the value of x into the polynomial, we substitute x = 13 into the polynomial equation.
Volume = 2(13)³ + 9(13)² + 4(13) - 15
= 2(2197) + 9(169) + 52 - 15
= 4394 + 1521 + 52 - 15
= 6952
As we can see, the volume obtained by substituting x = 13 into the polynomial is indeed 6952 cubic feet, which is the same as the volume we obtained earlier.
Substituting values into a polynomial equation is a way to evaluate the expression and find the corresponding output or result. In this case, when we substitute the value of x into the polynomial, we are calculating the volume of the tank based on the given dimensions. The fact that the volume obtained through the substitution matches the volume obtained earlier confirms the accuracy of the polynomial equation and its ability to represent the volume of the rectangular holding tank accurately.
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The functions shown represent the populations of six cities after x years. Which function best represents each situation?
Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used.
The exponential function is given by f ( x ) = 15,000 ( 1 + r )ⁿ , where n is the number of years and r is the rate of increase or decrease in population
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the initial population of the city be represented as x₀
The value of x₀ = 15,000
Let the number of years be represented as n
Now , when the rate of decrease is 5 % each year ,
The exponential decay equation is
f ( x ) = 15,000 ( 1 - 5/100 )ⁿ
f ( x ) = 15,000 ( 1 - 0.05 )ⁿ
On simplifying , we get
f ( x ) = 15,000 ( 0.95 )ⁿ
Now , when the rate of increase is 15 % each year
The exponential growth equation is
f ( x ) = 15,000 ( 1 + 15/100 )ⁿ
f ( x ) = 15,000 ( 1 + 0.15 )ⁿ
f ( x ) = 15,000 ( 1.15 )ⁿ
Hence , the exponential equations are solved
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Answer:
Step-by-step explanation:
Question: 21) The mean annual tuition and fees in the 2013 - 2014 academic year for a sample of 15 private colleges in California was $31,500 with a ...
Using a significance level of 0.10, we will test whether the mean tuition and fees for private institutions in California is greater than $35,000 based on the given sample data.
To test the hypothesis, we will use a one-sample t-test. The null hypothesis (H0) states that the mean tuition and fees for private institutions in California is not greater than $35,000, while the alternative hypothesis (Ha) states that the mean is greater than $35,000.
Given the sample mean of $31,500 and standard deviation of $7,250, we can calculate the test statistic (t-value) using the formula:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
Substituting the values, we find:
t = (31,500 - 35,000) / (7,250 / sqrt(15))
With the calculated t-value, we can compare it to the critical value from the t-distribution table at a significance level of 0.10, considering the degrees of freedom (sample size - 1).
If the calculated t-value is greater than the critical value, we reject the null hypothesis and conclude that the mean tuition and fees for private institutions in California is greater than $35,000. Otherwise, we fail to reject the null hypothesis.
Please note that the critical value and the calculated t-value should be compared to make the final decision.
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Complete question:
The mean annual tuition and fees in the 2013 - 2014 academic year for a sample of 15 private colleges in California was $31,500 with a standard deviation of $7,250. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is greater than $35,000? Use the a = 0.10 level of significance.
evaluate m-p-n for m= -12,n=23 and p=4.5
The value of expression is, - 39.5
Given that;
All the Values are,
m = - 12
n = 23
p = 4.5
Now, We can formulate;
⇒ m - p - n
Substitute all the values, we get;
⇒ - 12 - 4.5 - 23
⇒ - 39.5
Thus, The value of expression is, - 39.5
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To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.
Identify the linear equation?Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12
We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.
Take the provided linear equation system into consideration.
3x - 2y = 4 ................(1)
9x - 6y = 12 ..................(2)
Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12
The slopes of the provided equations are also same.
Difference with regard to x for equation (1) yields,
additional to equation (2),
With regard to x, we can differentiate to get,
The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.
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in 1970, 590 students among 1000 randomly selected college freshmen thought that capital punishment should be abolished. in 2005, 350 students among 1000 randomly selected college freshmen thought that capital punishment should be abolished. what is the two-sample z test statistic for evaluating the null hypothesis that the percentage of students who support capital punishment did not change from 1970 to 2005? round your answer to two decimal places.
The two-sample z-test statistic for evaluating the null hypothesis that the percentage of students who support capital punishment did not change from 1970 to 2005 is -4.08 (rounded to two decimal places).
To calculate the two-sample z-test statistic, we need to compare the proportions of students who support capital punishment in 1970 and 2005. The null hypothesis states that the percentage of students who support capital punishment did not change.
Let p1 be the proportion of students who support capital punishment in 1970, and p2 be the proportion in 2005. We can calculate the sample proportions as p1 = 590/1000 = 0.59 and p2 = 350/1000 = 0.35.
The formula for the two-sample z-test statistic is given by z = (p1 - p2) / sqrt((p(1 - p)(1/n1 + 1/n2))), where p is the pooled proportion and n1 and n2 are the sample sizes.
To calculate p, we compute the pooled proportion as p = (p1n1 + p2n2) / (n1 + n2) = (0.591000 + 0.351000) / (1000 + 1000) = 0.47.
Substituting the values into the formula, we have z = (0.59 - 0.35) / sqrt((0.47*(1 - 0.47)(1/1000 + 1/1000))) = -4.08.
Therefore, the two-sample z-test statistic for evaluating the null hypothesis is -4.08 (rounded to two decimal places).
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which derivative is approximated by tan(pi/4 + 0.0001) - 1 / 0,0001 ?
The value of derivative is approximated by tan(pi/4 + 0.0001) - 1 / 0,0001 is pi / 4 by limits and continuity.
Let the given expression be some I (say)
then , I = tan(pi/4 + 0.0001) - 1 / 0,0001
we know that tan(pi/4) = 1
hence replace 1 by tan(pi/4) in the above expression,
I = tan(pi/4 + 0.0001) - tan(pi/4) / 0,0001
Now, tan (I) = limx→0 tan(I+x) - tan(I) / x
in this case , x = 0.0001 and I = pi/4
Therefore , the derivative is approximated by tan(pi/4 + 0.0001) - 1 / 0,0001 is at pi/4.
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random sampling is most important to which research method?
Random sampling is most important to quantitative research methods.
Quantitative research relies on collecting numerical data and analyzing it statistically to draw conclusions about a population. Random sampling is a crucial aspect of quantitative research as it ensures that the sample selected is representative of the population being studied. By randomly selecting participants or data points from the population, researchers can minimize bias and increase the generalizability of their findings.
This allows them to make accurate inferences about the larger population based on the characteristics observed in the sample. Random sampling helps to reduce the potential for selection bias and ensures that each member of the population has an equal chance of being included in the sample, which enhances the validity and reliability of the research results.
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A piecewise function f(x) is defined as shown.
f(x) = StartLayout enlarged left-brace 1st Row 1st column negative five-fourths x + 90, 2nd column 0 less-than-or-equal-to x less-than 40 2nd row 1st column negative three-eighths x + 75, 2nd column 40 less-than-or-equal-to x less-than-or-equal-to 200 EndLayout
Which table could be used to graph a piece of the function?
A table that could be used to graph a piece of the function include the following: D. table D.
What is a piecewise-defined function?In Mathematics and Geometry, a piecewise-defined function is a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains.
Since the domains of this piecewise-defined function are 0 ≤ x ≤ 40 and 40 ≤ x ≤ 200, we can reasonably infer and logically deduce that only table D can be used to graph a piece of the piecewise-defined function;
-3/8(x) + 75 = 60
75 - 60 = 3x/8
120 = 3x
x = 120/3
x = 40.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
look at attachment hurry
Answer:
the top one on the right
Step-by-step explanation:
i used desmos graphing calculator
What is 50% of 80? part percent
Answer:
40
Step-by-step explanation:
10% = 80 ÷ 10 = 8
50% = 8 x 5 = 40
Hope this helps!
Answer:
40
Explanation:
50% = 80 ÷ 2 = 40
Hope this helps!
A 95% confidence interval of a population proportion has the limits of (64.5%,75.3%). What is the margin of error
Hence, the margin of error for this 95% confidence interval of a population proportion is 5.4%.
The margin of error for a confidence interval is the distance between the sample statistic (in this case, the sample proportion) and the confidence interval limits. To find the margin of error, we can use the formula:
Margin of error = (upper limit - lower limit) / 2
In this case, the lower limit of the 95% confidence interval is 64.5% and the upper limit is 75.3%. So the margin of error is:
Margin of error = (75.3% - 64.5%) / 2
Margin of error = 10.8% / 2
Margin of error = 5.4%
Therefore, the margin of error for this 95% confidence interval of a population proportion is 5.4%.
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When h is one-half and j is one-third, g is 4. if g varies jointly with h and j, what is the value of g when h is 2 and j is 3?
The value of g = 144 solved by using direct proportion.
What is a direct proportion?Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝.
Given that,
h = \(\frac{1}{2}\) , j = \(\frac{1}{3}\), g = 4
g ∝ hj
g = khj
where k is a constant.
4 = k×\(\frac{1}{2}\)×\(\frac{1}{3}\)
k = 24
Also given that,
g = ? , h =2, j = 3
g = khj
g = 24×2×3
g = 144
Hence, The value of g = 144.
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c) Out of 700 full marks rumba got 250 markes failed 30 marks what is
the pass percentage?
here's the solution,
rumba got 250 marks !!
if she had got 30 more marks then she would had passed the exam,
So, passing marks :
=》250 + 30
=》 280 marks
now, passing percentage :
=》
\( \dfrac{passing \: \: marks}{total \: \: marks} \times 100\)
=》
\( \dfrac{280}{700} \times 100\)
=》
\( \dfrac{280}{7} \)
=》
\(40\)
Hence, the passing percentage is 40%
In a recent National Survey of Drug Use and Health, 2312 of 5914 randomly selected full-time US college students were classified as binge drinkers.
If we were to calculate a 99% confidence interval for the true population proportion p that are all binge drinkers, what would be the lower limit of the confidence interval? Round your answer to the nearest 100th, such as 0.57 or 0.12. (hint: use Stat Crunch to calculate the confidence interval).
The lower limit of the 99% confidence interval for the true population proportion of binge drinkers cannot be determined without additional information.
To calculate the lower limit of the 99% confidence interval for the true population proportion of binge drinkers, we need to know the sample proportion and the sample size. While the information provided states that 2312 out of 5914 randomly selected full-time US college students were classified as binge drinkers, we don't have the specific sample proportion.
Additionally, the margin of error is required to calculate the confidence interval. Without these values or the methodology used to calculate the interval, we cannot determine the lower limit. It is important to note that the confidence interval is influenced by the sample size, sample proportion, and the desired level of confidence. Without more information, we cannot compute the lower limit of the confidence interval.
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