it just so happens that the average weight of a nutrition student is 156 pounds. dr. naiciteid doesn't know this, so he decides to randomly sample nutrition students and he gets the following 90% confidence interval: (175.33, 263.74) lbs. what is the probability that his 90% confidence interval captured the true population average?
Answers
The probability that Dr. Naiciteid's 90% confidence interval captured the true population average is 0.90 or 90%.
A confidence interval is a range of values that is likely to contain the true population parameter. In this case, Dr. Naiciteid obtained a 90% confidence interval of (175.33, 263.74) lbs.
The confidence level of 90% means that if we were to repeat the sampling process multiple times, 90% of the intervals obtained would capture the true population average weight. In other words, there is a 90% probability that the true population average weight falls within the interval (175.33, 263.74) lbs.
Therefore, there is a 90% probability that Dr. Naiciteid's 90% confidence interval captured the true population average weight of nutrition students.
To summarize, the probability that the 90% confidence interval captured the true population average is 0.90 or 90%.
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Related Questions
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
х
34
16
30
Answers
Answer:
cos Z = 8/17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = opp / hyp
cos Z = 16/34
cos Z = 8/17
The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?
below sea level
at sea level
above sea level
Answers
Answer:
above sea level
Step-by-step explanation:
Please answer these for a lot of points if you scam ill report you!
Answers
Answer:
Step-by-step explanation:
1) 5 times the length x of the table = 5*x = 5x
the sum of 8 inches = 5x + 5
5x + 8
2) Half the weight of w of a bag of rice = \(\frac{1}{2}w\)
6 pounds less than = \(\frac{1}{2}w-6\)
\(\frac{1}{2}w-6\)
3) The product of 2 coins and c coins = 2*c = 2c
2c
Answer:
1. 5 times the length x of the table = 5*x = 5x
the sum of 8 inches = 5x + 5
5x + 8
2. Half the weight of w of a bag of rice =
6 pounds less than =
3. The product of 2 coins and c coins = 2*c = 2c
2c
Step-by-step explanation:
A car salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $16. Option B is a commission rate on weekly sales, and he averages $6400 in sales each week. What commission rate does he need to have to earn the same amount with the two options?
Answers
10%
since he works 40 hours per week and gets $16 an hour, that would be 16 * 40 which is 640, so that means he needs a commission rate of 10% as 10% of 6400 is 640.
hope this is helpful!
14. Marco found a box of books in his attic that contained 14 mysteries, 8 biographies, and
4 graphic novels. Write the ratio of graphic novels to the total number of books in the box
as a fraction in simplest form.
Answers
Answer:
2/13
Step-by-step explanation:
Ratio: 4/26
Simplest form : 2/13
the queue model follows m/m/1 with request arrival rate = 4 req/s and request processing rate = 20 req/sQ1. What is the server utilization? Q2. What is the average response time in the system? Q3. What is the average waiting time in the queue?
Answers
1. The server utilization is 500%.
2. The average response time in the system cannot be accurately calculated due to an overloaded and unstable system.
3. The average waiting time in the queue cannot be accurately calculated due to an overloaded and unstable system.
Q1. How do we calculate server utilization?The server utilization can be calculated by dividing the request processing rate by the request arrival rate. In this case, the server utilization would be:
Server Utilization = Request Processing Rate / Request Arrival Rate
= 20 req/s / 4 req/s
= 5/1
= 5
Therefore, the server utilization is 5 or 500% (since it exceeds 100%).
Q2. How do we calculate average response time?To calculate the average response time in the system, we need to consider the queuing delay (waiting time in the queue) and the service time (time taken to process a request). In the M/M/1 queue model, the average response time is the sum of the average queuing delay and the average service time.
Average Service Time = 1 / Request Processing Rate
= 1 / 20 req/s
= 0.05 s
The M/M/1 queue model has a known formula for the average queuing delay, which is:
Average Queuing Delay = (Server Utilization²) / (1 - Server Utilization) * Average Service Time
= (5²) / (1 - 5) * 0.05 s
= 25 / -4 * 0.05 s
= -1.25 s
Since the queuing delay cannot be negative, it suggests that the server is overloaded, and the system is unstable. In this case, the average response time cannot be calculated accurately using the M/M/1 model.
Q3. How do we calculate average waiting time?Similarly, to calculate the average waiting time in the queue, we can use the formula for the average queuing delay mentioned above:
Average Waiting Time = (Server Utilization²) / (1 - Server Utilization) * Average Service Time
= (5²) / (1 - 5) * 0.05 s
= -1.25 s
Again, due to the negative value, it suggests an overloaded and unstable system, so the average waiting time cannot be accurately calculated using the M/M/1 model.
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there are 10 aaa batteries in a box and 3 are defective. two batteries are selected without replacement. what is the probability of selecting a defective battery followed by another defective battery? group of answer choices 1/15 or about 0.07 1/4 or 0.25 1/120 or about 0.0083 1/2 or 0.50
Answers
The probability of selecting a defective battery followed by another defective battery, when two batteries are selected without replacement from a box containing 10 AAA batteries with 3 defective ones, is \(\(\frac{2}{15}\)\) or approximately 0.133.
When two batteries are selected without replacement, the total number of possible outcomes is given by the combination formula \(\(\binom{n}{r} = \frac{n!}{r!(n-r)!}\)\) , where n is the total number of batteries and r is the number of batteries being selected. In this case, there are possible \(\(\binom{10}{2} = 45\)\) outcomes.
To calculate the probability of selecting a defective battery followed by another defective battery, we need to determine the number of favourable outcomes. Since there are 3 defective batteries in the box, the first selection can be any of the 3 defective batteries, and the second selection can be any of the remaining 2 defective batteries. Therefore, the number of favorable outcomes is 3.
Dividing the number of favorable outcomes by the total number of possible outcomes gives us the probability: \(\(\frac{3}{45} = \frac{1}{15}\)\) or approximately 0.067.
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2 x 4 when is the next seson on tolet bound hanako kun comming out?
Answers
Answer:
8.. the release date of Toilet Bound Hanako Kun season 2 will be spring 2021
Step-by-step explanation:
WE STILL DON'T KNOW... BUT READ THE MANGA IS FASTER THAN WAITING FOR SEASON 2
6. Find the constant of variation k for the direct variation.
4x = -y
K = -1
K=-1/4
K=4
K=-4
Answers
Given:
The equation for the direct variation is
\(4x=-y\)
To find:
The constant of variation k for the direct variation.
Solution:
If y is directly proportional to x, then
\(y\propto x\)
\(y=kx\) ...(i)
Where, k is constant of variation or constant of proportionality.
We have,
\(4x=-y\)
It can be written as
\(-y=4x\)
Multiply both sides by -1.
\(y=-4x\) ...(ii)
On comparing (i) and (ii),we get
\(k=-4\)
Therefore, the correct option is D.
In triangle ABC which of the following is true a) ab+bc>ac.
b) ab-bc>ac.
c) ab+bc
d) ac+bc
Answers
Option a) ab + bc > ac is correct.
The first method by which we can solve this question is,
We have to know about the property of the triangle,
According to the property of the triangle, if we consider a triangle with lines ab, bc, ac and -
The sum of 2 sides of a triangle is greater than the third side The difference between the two sides is less than that of the third side.Therefore, we can conclude that ⇒ ab + bc > ac and ab - bc < ac
In the second method, let us consider the given triangle as right-angled,
So, according to the property of the right-angled triangle or Pythagoras' Theorem,
The square of the hypotenuse is equal to the square of the other two sides, let us consider the sides of the triangle = ab, bc, ac.
ABC is a right-angled triangle -
\(ab^{2} + bc^{2} = ac^{2}\)
\(ab + bc > ac\)
Therefore, we can conclude that, options a) ab + bc > ac is correct.
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Write an equation in slope-intercept form for the line that passes through the points (0, 5) and (1, 3)?
Answers
Answer:
Step-by-step explanation:
y= -2x + 5
Which shows 2^6
-2/6
1/10^6
1/2^6
1/12
Answers
Answer:
None of these
Step-by-step explanation:
2^6 = 64
1/10^6 = .000001
1/2^6 = \(\frac{1}{64}\)
1/12 = \(\frac{1}{12}\)
\(\huge\text{Hey there!}\)
\(\large\text{Assuming you meant: }\large\boxed{\rm{ 2^{-6}}}\)
\(\large\boxed{\frak{2^{-6}}}\\\\\large\boxed{= \frak{\dfrac{1}{2^6}}}\\\\\large\boxed{= \frak{\dfrac{1}{2\times2\times2\times2\times2\times2}}}\\\\\large\boxed{= \frak{\dfrac{1}{4\times4\times4}}}\\\\\large\boxed{= \frak{\dfrac{1}{16\times4}}}\\\\\large\boxed{= \frak{\dfrac{1}{16 + 16 + 16 + 16}}}\\\\\large\boxed{= \frak{\dfrac{1}{32 + 32}}}\\\\\large\boxed{= \frak{\dfrac{1}{64}}}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\frak{\dfrac{1}{2^6}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
divide x²-4 / x²+4 / x²-4x+4 / x+1
Answers
When dividing (x²-4) / (x²+4) by (x²-4x+4) / (x+1), the simplified expression is (x+2) / (x³+5x²+4x+4).
To divide the expression (x²-4) / (x²+4) by (x²-4x+4) / (x+1), we can use the rule of dividing fractions.
The division of fractions can be simplified by multiplying the first fraction by the reciprocal of the second fraction.
Let's break down the steps to solve the division:
Take the first fraction (x²-4) / (x²+4) and multiply it by the reciprocal of the second fraction, which is (x+1) / (x²-4x+4).
This can be written as:
[(x²-4) / (x²+4)] * [(x+1) / (x²-4x+4)].
Factorize the quadratic expressions in both the numerator and denominator. The numerator (x²-4) is a difference of squares and can be factored as (x+2)(x-2). The denominator (x²-4x+4) is a perfect square and can be factored as (x-2)².
Simplify the expression by canceling out common factors.
In this case, (x-2) is common to both the numerator and denominator and can be canceled out. This leaves us with:
[(x+2) / (x²+4)] * [1 / (x+1)].
Multiply the numerators and denominators separately.
The numerator is (x+2) * 1 = (x+2), and the denominator is (x²+4) * (x+1) = (x³+5x²+4x+4).
Therefore, the final simplified expression is (x+2) / (x³+5x²+4x+4).
In summary, the division of (x²-4) / (x²+4) by (x²-4x+4) / (x+1) simplifies to (x+2) / (x³+5x²+4x+4).
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One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent. Is the cost of gas greater in Buffalo or in Toronto? How much greater?
Answers
Answer:
-To find the cost of one gallon of gas in Toronto, you have to multiply the cost of one liter of gasoline for 3.8 as you know that there are 3.8 liters in one gallon:
$0.91*3.8=$3.46
This means that a gallon of gas cost $3.46 in Toronto.
-$3.46-$2.29=$1.17
Considering that one gallon of gasoline cost $2.29 in Buffalo and $3.46 in Toronto, the cost is greater in Buffalo. The cost is greater by $1.17.
Please help me on this
Answers
Answer:
1.
2.
Step-by-step explanation:
V and Y aren't congruent bc V and Z are
recursively define the set of binary strings with more 0s than 1s.
Answers
0>1,If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y.
What do binary strings mean?A series of bytes make up a binary string. A binary string is used to store non-traditional data, including images, as opposed to a character string, which typically holds text data. The quantity of bytes in a binary string determines its length. The CCSID for a binary string is 65535.Binary refers to this system of 1s and 0s. Because of the way they are made, computers only speak in binary. A computer is nothing more than a sizable number of switches. On those curiously engraved boards inside the computer, there are millions of microscopic electronic switches.If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y. A procedure P is defined recursively if its action, P(x), is defined in terms of another action, P(y), where x>y.Explanation:
0>1.
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ASAP please help me!!
Answers
2. divide the numerator from the denominator
3. decimal should be your answer after you round
14. You can afford a $1,100 per month mortgage payment. You've found a 30-year loan at 3.45% interest.(a) How big of a loan can you afford? $(b) How much total money will you pay the bank? $(c) How much of that money is interest? $
Answers
SOLUTION:
One can afford $1,100 per month mortgage payment and one has found a 30-year loan at 3.45% interest.
\(1100\text{ x 12 x 30 = \$396,000 }\)(a)
\(\begin{gathered} \frac{P\text{ x 3.45 x 30}}{100}\text{ + p = 396,000} \\ P(1.035)\text{ + p = 396,000} \\ p\text{ (1.035 + 1) = 396000} \\ P(2.035)\text{ = 396000} \\ P\text{ = \$ }\frac{396000}{2.035} \\ P\text{ = \$194594.6} \end{gathered}\)(b) The total money he would be paying
\(\text{ \$ 396,000}\)(c) $The amount of the money that is interest i;
\(\text{\$396,000 - \$194594.6 = \$201405.4}\)6 = x(1 + 2x)
Ifx is a solution to the equation above and x > 0
what is the value olx
Answers
Answer:
1.5
Step-by-step explanation:
cause I said so and I'm big brained and you should listen to me because I should be doing 8th grade math but instead I'm doing 7th
1/8 x (1/3) power of 2
Answers
Penny bought 15 pieces of candy that cost a nickel each. she also bought 4 pieces of dime candy. she couldn't remember the cost of the snickers candy bar. the total purchase amount to $2.15. how much did the snickers cost
Answers
Answer: the snickers bar costed $1.00
round 465 to the nearest thousand
Answers
Answer:
you cant round it to a thousand it would be 500 if your doing hundreds
Step-by-step explanation:
Answer:
0 ig
Step-by-step explanation:
a marketing researcher took a sample of 120 customers and classified them in three groups: 34% are customers extremely satisfied, 25% are satisfied and the rest are indifferent or unsatisfied. which type of data did the researcher collected?
Answers
The type of data collected by the marketing researcher is categorical data, specifically nominal data.
Categorical data, also known as categorical variables, are variables that represent categories or groups. Unlike numerical data, which consists of continuous or discrete values, categorical data consist of a limited number of possible values, which are categories or groups that the data can belong to.
Based on the given problem, the customers have been classified into mutually exclusive categories or groups, such as "extremely satisfied," "satisfied," and "indifferent or unsatisfied," without any order or ranking. The categories do not have any meaningful mathematical relationship to one another.
Categorical data can be ordinal data if the categories have a clear order or ranking, but in this case, the categories do not have a clear order, so the data is nominal.
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solve the following simultaneous linear equations by the substitution method.
2p + 3q = 10
p - 2q = -2
Answers
Answer:
p = 2 and q = 2
Step-by-step explanation:
hope this helps please like and mark as brainliest
URGENT!!!! In ΔRST, r = 23 cm, s = 99 cm and t=94 cm. Find the measure of ∠S to the nearest 10th of a degree.
Answers
The measure of angle ∠S in triangle RST is approximately 103.1 degrees.
To find the measure of angle ∠S in triangle RST, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and opposite angles A, B, and C respectively, the following equation holds true:
\(c^2 = a^2 + b^2 - 2abcos(C)\)
In our case, we know the side lengths r = 23 cm, s = 99 cm, and t = 94 cm. We want to find the measure of angle ∠S. Let's substitute the known values into the Law of Cosines equation:
s^2 = r^2 + t^2 - 2rtcos(S)
99^2 = 23^2 + 94^2 - 2(23)(94)cos(S)
9801 = 529 + 8836 - 4348cos(S)
9801 = 9365 - 4348cos(S)
4348cos(S) = 9365 - 9801
4348cos(S) = -436cos(S) = -436 / 4348
cos(S) ≈ -0.1
To find the measure of angle S, we can take the inverse cosine (cos^-1) of -0.1:
S ≈ cos^-1(-0.1)
Using a calculator, we find that S ≈ 103.13 degrees (rounded to the nearest 10th of a degree). Therefore, the measure of angle ∠S in triangle RST is approximately 103.1 degrees.
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A shop item is marked down from r 6,20 to r 4. what is the discount? what is the discount percentage?
Answers
Discount is 0.354838, Discount percentage is 35.4838 %.
According to the question
A shop item is marked down from r 6.20 to r 4.
A discount is an amount that is subtracted from the regular price of an item.
Based on the given conditions
= \(\frac{6.2-4}{6.2}\)
Solving 6.2 - 4, we get 2.2
= 2.2/6.2
Discount = 11/31 = 0.354838
Percentage discount is a discount that is given to a product or service that is given as an amount per hundred. For example, a percentage discount of 20% would mean that an item that originally cost $100 would now cost $80.
Discount percentage = \(\frac{11}{31}\) × 100
= 35.4838 %
Hence,
Discount is 0.354838, Discount percentage is 35.4838 %.
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please help asap please
Answers
Answer:
take away 8 from 14 then see if the answer works for x by doing 28 - that answer
Step-by-step explanation:
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x - 5)?
-
o
-5
-4
-3
-1
0
1
2
3
4
5
f
.
-5
-4
-3
-2.
-1
o
3
o
1
2
4
5
+
+
-4
-5
-3
-2
-1
+
1
o
+
2.
+
3
+
4
5
Ол
O
3
-5
-4
-3
-2
-1
o
1
2.
3
4
5
Answers
Answer:
3 8-4× less than 6 ×-5 and then you solve the equation
8 divided by 2 over 5 in simplest form
Answers
Step-by-step explanation:
8 / (2/5)
= 8 * (5/2)
= 8 * 5 / 2
= 40 / 2
= 20.
Answer:
20
Step-by-step explanation:
\( 8\div\frac{2}{5}\\\\
= 8\times\frac{5}{2}\\\\
= \frac{8\times5}{2}\\\\
= \frac{40}{2}\\\\
=20 \)
3 1/8 +4 3/8 solve the question
Answers
Answer:
7 1/2
Step-by-step explanation:
Let's add the whole numbers first, 3 + 4 = 7
Then, we add the fraction, and since the denominator is the same, there's no need for a change, so we just add the top. 1/8 + 3/8 is 4/8, which can be simplified to 1/2
so answer is 7 1/2