a swimming pool can hold 2,376 m3 of water. its length is 33 meters and its width is 9 meters. calculate the height of the pool. what is the answer
Answer: 8 meters
Step-by-step explanation:
33x9=297
2376 divided by 297= 8
The height of the swimming pool is approximately 2.6 meters. This can be answered by the concept of Surface Area.
To calculate the height of the swimming pool, we can use the formula for the volume of a rectangular prism, which is V = lwh, where V is the volume, l is the length, w is the width, and h is the height. We know that the volume of the pool is 2,376 m3, the length is 33 meters, and the width is 9 meters.
Plugging these values into the formula, we get 2,376 = 33 x 9 x h. Solving for h, we get h = 2.6 meters.
Therefore, the height of the swimming pool is approximately 2.6 meters, which can be calculated by using the formula for the volume of a rectangular prism and plugging in the known values of length, width, and volume.
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what are the factoris a^7+ab^6
Answer:
Step-by-step explanation:
a^6(a + b^6)
What happens to the control limits as the sample size is increased? The sample size does not affect the control limits. The UCL comes closer to the process mean and the LCL moves farther from the process mean as the sample size is increased. The LCL comes closer to the process mean and the UCL moves farther from the process mean as the sample size is increased. Both control limits move farther from the process mean as the sample size is increased. Both control limits come closer to the process mean as the sample size is increased. (c) What happens when a Type I error is made? The process will be declared in control and allowed to continue when the process is actually out of control. The process will be declared out of control and adjusted when the process is actually in control. (d) What happens when a Type II error is made? The process will be declared in control and allowed to continue when the process is actually out of control. The process will be declared out of control and adjusted when the process is actually in control. (e) What is the probability of a Type I error for a sample of size 10 ? (Round your answer to four decimal places.) What is the probability of a Type I error for a sample of size 20 ? (Round your answer to four decimal places.) What is the probability of a Type I error for a sample of size 30 ? (Round your answer to four decimal places.) (f) What is the advantage of increasing the sample size for control chart purposes? What error probability is reduced as the sample size is increased? Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type II error: Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type I error. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type II error. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.
When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.Hence, (c) When a Type I error is made, the process will be declared out of control and adjusted when the process is actually in control.
(d) When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control. The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.
The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the
When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.The process will be declared out of control and adjusted when the process is actually in control.When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control.
The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010.The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the sample size is increased.
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Answer this question based on the number line shown.
A
B
C
The distance from a point to point Cis 1 and the distance from that same point to point Bis 4. The point must be
goint A
Obetween DandA
point D
Obebween CandA
Since the distance from a point to point C is 1 and the distance from that same point to point B is 4, the point must be: C. point D.
What is a number line?In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
From the number line shown above, we have:
Distance = 4 + (-1)
Distance = 4 - 1
Distance = 3 (point D).
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3/32 in simplest form
I need help on this ! Please
Answer: Infinitely many solutions
Step-by-step explanation:
On the graph I have attached, you can see the two lines overlap each other. This means the linear equations have an infinite amount of solutions.
Do these numbers 19. 657 < 19. 67
Answer:
True
Step-by-step explanation:
This is true if you look at the hundredths value. 7 is greater than 5, therefore 19.67 is greater than 19.657. To simplify it, you can look at it as 19.67 > 19.65 (say we omit the 7).
Steve noticed that there were 72 lights on and 78 lights turned off.
what precent of the lights are on?
Answer:
49% of the lights are on!
help find angle m and angle n! <3
Answer:
<m=79
<n=66
Step-by-step explanation:
The exterior angle is equal to the sum of the non-adjacent interior angles.
Suppose that for some function g,
g(x+4)= 7x + 2. Find g(-3).
Help i don’t understand
A model that describes the population of a fishery in whichharvesting takes place at a constant rate is given by (dP/dt) = kP- h,
where k and h are positive constants.
(a). Solve the DE subject to P(0) = P0.
(b). Describe the behavior of the population P(t) forincreasing time in three cases P0>h/k, P0=h/k, and0
(c). Use the results from part (b) to determine whether thefish population will ever go extinct in finite time, that is,whether there exists a time T>0 such that P(t) = 0. If thepopulation goes extinct, then find T
Based on the differential equation a) Solving the DE subject to P(0) = P0 will yield P = ((kP0 - h)e^(kt) + h)/k. b) For the three cases given (P0 > h/k, P0 = h/k, P0 = 0), the behavior of the population P(t) is will be population will grow without bound, the population will remain constant, and the population will decrease and approach zero as t approaches infinity respectively. c) The fish population will go extinct in finite time if there exists a time T > 0 such that P(T) = 0. At T = (1/k)ln(-h/(kP0 - h)) the fish population will go extinct.
(a) To solve the differential equation (dP/dt) = kP - h subject to P(0) = P0, we need to separate the variables and integrate both sides:
(dP/dt) = kP - h
dP/(kP - h) = dt
∫dP/(kP - h) = ∫dt
ln|kP - h| = kt + C
kP - h = e^(kt + C)
P = (e^(kt + C) + h)/k
Using the initial condition P(0) = P0, we can solve for C:
P0 = (e^(k*0 + C) + h)/k
P0 = (e^C + h)/k
e^C = kP0 - h
C = ln(kP0 - h)
Substituting back into the equation for P, we get:
P = (e^(kt + ln(kP0 - h)) + h)/k
P = ((kP0 - h)e^(kt) + h)/k
This is the solution to the differential equation subject to the initial condition P(0) = P0.
(b) The behavior of the population P(t) for increasing time depends on the initial condition P0:
- If P0 > h/k, then the term (kP0 - h)e^(kt) will be positive and will increase exponentially as t increases, so the population will grow without bound.
- If P0 = h/k, then the term (kP0 - h)e^(kt) will be zero and the population will remain constant at P = h/k for all time.
- If P0 < h/k, then the term (kP0 - h)e^(kt) will be negative and will decrease exponentially as t increases, so the population will decrease and approach zero as t approaches infinity.
(c) The fish population will go extinct in finite time if there exists a time T > 0 such that P(T) = 0. From the equation for P, we can see that this will happen if and only if P0 < h/k:
P(T) = ((kP0 - h)e^(kT) + h)/k = 0
(kP0 - h)e^(kT) = -h
e^(kT) = -h/(kP0 - h)
Since the exponential function is always positive, this equation has no solution for P0 > h/k or P0 = h/k. However, if P0 < h/k, then the term (kP0 - h) is negative and the equation has a solution:
kT = ln(-h/(kP0 - h))
T = (1/k)ln(-h/(kP0 - h))
This is the time at which the fish population will go extinct.
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________ probability represents the likelihood of a single event occurring by itself.
The probability that represents the likelihood of a single event occurring by itself is called marginal probability.
Marginal probability refers to the probability of an individual event happening independently without considering any other events. It focuses on a single variable or outcome without considering the relationship or dependencies with other variables.
To calculate marginal probability, you divide the number of times the specific event occurs by the total number of observations. For example, if you have a bag of marbles with different colors and you want to find the marginal probability of drawing a red marble, you would count the number of red marbles and divide it by the total number of marbles in the bag.
Marginal probability is often used when working with categorical variables or when studying the probability of a single event without considering any other variables or conditions. It provides a fundamental understanding of the likelihood of an event occurring in isolation, independent of any other factors.
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A goat and a cow together weigh 190 kg 640 g. The weight of the goat is 59 kg 720 g. Find the weight of the cow
Answer: 130 kg 920 g
Step-by-step explanation:
Given
The weight of the goat is 59 kg 720 g
The combined weight of goat and cow is 190 kg 640 g
Suppose, the weight of the cow is x kg
We know, 1 kg=1000 g
Converting weight into kg
Goat weight
\(=59+0.720\\=59.720\ kg\)
Total weight
\(=190+0.640\\=190.640\ kg\)
Then, the cow weight is given by
\(\Rightarrow 190.640-59.720\\\Rightarrow 130.920\ kg\ \text{or}\ 130\ kg\ 920\ g\)
PLEASE HELP ME ASAP PLEASE.
Answer:
See below
Step-by-step explanation:
g (h(6)) :
h (6) = 3 ( 6^2) + 2 = 110
then g (110) = sqrt (110)
h (g(5))
g(5) = sqrt 5
then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17
The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Group of answer choices random variable probability distribution conditional probability sample space
The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Probability Distribution.
According to the statement
we have to find the under which probability type The distribution of probabilities for each outcome of a random variable that sums to 1.00.
So,
For this purpose, we know that the
A probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.
and the above written definition of probability is satisfied the condition that the The distribution of probabilities for each outcome of a random variable that sums to 1.00.
Due to this reason The Probability Distribution is a correct option.
So, The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Probability Distribution.
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Alison bought 5 boxes of erasers,
Each box had 212 erasers. How
many erasers did she buy in all?
Answer:
1,060
Step-by-step explanation:
Each- Means multiplication.
You can add 212 - 5 times
212x5
Answer:
1060
Step-by-step explanation:
212 x 5 = 1060
212
x5
5x200=1000
5x10=50
5x2=10
1000+50+10=1060
Kara used 1/4 cup of butter to make 2/3 of a batch of cookies.
How much butter is needed per batch of cookies?
Answer:
3/8 cup of butter
Step-by-step explanation:
1/4 / 2 = 1/8
1/8x3=3/8
Answer:
3/8
Step-by-step explanation:
1/4 x 2/3 = 3/8
the weight of bill's pack as he sets off on a backpacking trip is 48.3 lb. describe the type of variable and corresponding level of measurement (more than one answer may apply)
The weight of Bill's pack is a quantitative variable, so the weight can take on any numerical value within a certain range (in this case, likely between 0 and 100 lbs or so).
The type of variable for the weight of Bill's pack is a continuous variable, and the corresponding level of measurement is the ratio level of measurement.
Continuous variable: A continuous variable is a variable that can take on any value within a given range. In this case, the weight of Bill's pack can take on any value within a certain range (e.g., from 0 lb to 100 lb or more), making it a continuous variable.
Ratio level of measurement: The ratio level of measurement has a true zero point and allows for meaningful comparisons and calculations, such as multiplication and division. Since the weight of Bill's pack has a true zero point (0 lb) and allows for meaningful comparisons (e.g., one pack can be twice as heavy as another), it falls under the ratio level of measurement.
Hence, The weight of Bill's pack (48.3 lb) is a continuous variable, and its corresponding level of measurement is the ratio level of measurement.
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What is the value of x in the equation ?
Answer: 2
Step-by-step explanation:
3.6 ÷ 0.08 + 5.2 • 2.5
Answer: 58
Step-by-step explanation:
Answer: the answer is 58
you could've used calculator lol.
hope it's right.
Step-by-step explanation:
I am suuuuper bored
So tell me a super cool or funny fun fact and you get brainliest! :)
Answer:
hi
Step-by-step explanation:
The cost of CD cases, C, is directly proportional to the number of CD cases, n.The cost of 6 CD cases is $2.34. Find the cost of one CD case.
Answer:
$0.39
Step-by-step explanation:
You want the cost of one CD case if 6 of them cost $2.34.
Cost eachLet c represent the cost of one case. The problem statement tells you ...
6c = $2.34
Dividing by 6 gives you ...
c = $2.34/6 = $0.39
The cost of one CD case is $0.39.
Please help! I’ll give points if it’s correct!
Simplify each expression
30. (3/8)^2
32. (3x/y)^4
Answer: 9/64 and 81x^4/y^4
Step-by-step explanation:
For the first, put both the numerator and denominator to the power of 2.
For the second, put both the numerator and denominator to the power of 4.
Answer:
30.(3/8)^2=9/64
32.(3x/y)^4=81x^4/y^4
Hope This Helps!!!
what is y% of 8 is .248
Write the equation of the parabola in vertex form.
vertex (4,4), point (3, -1)
Answer:
\(y=-5(x-4)^2+4\)
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
\(y=a(x-h)^2+k\)
Where (h, k) is the vertex of the parabola, and a is a coefficient different from zero.
The vertex is located at (4,4).
Substituting the coordinates of the vertex, the equation of the function is:
\(y=a(x-4)^2+4\)
The value of a will be determined by using the given point (3,-1).
\(-1=a(3-4)^2+4\)
Operating:
\(-1=a(1)+4\)
Solving:
\(a=-5\)
The equation of the graph is:
\(\boxed{y=-5(x-4)^2+4}\)
What’s the area of a 70 millimeter circle
Answer:
The area of the circle is 3,8550 mm
Step-by-step explanation:
Chang is building a circular sandbox with a circumference of 31.4 meters. She uses a string tied to a metal stake to trace out a circle in her backyard.
Mr. Chang's string will therefore be about 10 meter long rounded to nearest meter
What exactly is pi?
The proportion of a circle's circumference to its diameter is denoted by the mathematical constant pi (). It cannot be written as a simple fraction since it is an irrational number. Pi is approximately equal to 3.141592, or 3.15.
We must first determine the circle's radius in order to determine the length of Mr. Chang's string.
C = 2πr, where C is the circle's circumference and r is its radius, is the formula for a circle's circumference.
Given that the circle's circumference is 31.4 meters, we can solve for r using the following method:
C = 2r 31.4
=2x3.14xr
= 31.4/(2x3.14)r
= 3.14/6.28r
r = 5
Thus, the circle's radius is roughly 5 meters.
The diameter of the circle, which is twice as long as its radius, will be equal to Mr. Chang's stake because it is in the center of the circle.
Mr. Chang's string will therefore be about 10 meter long rounded to nearest meter
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there are 11 students in a class. 3 of them are selected to form a committee where no member has any specific responsibilities. how many different committees are possible?
There are 165 different committees possible where no member has any specific responsibilities
To solve this problem the formula and the combination procedure we must use is:
C(n/r) = n! / [(n-r)! *r!]
Where:
C(n/r) = combinationn = total number of objectsr = number of selected objects! = factorial of the numberInformation about the problem:
n = 11r = 3C(11/3) =?Applying the combination formula we have:
C(n/r) = n! / [(n-r)! *r!]
C(11/3) = 11! / [(11-3)! *3!]
C(11/3) = 11! / [(8)! *3!]
C(11/3) = 11*10*9*8! / [(8)! *3!]
C(11/3) = 11*10*9/3!
C(11/3) = 990/6
C(11/3) = 165
What is a combination?In mathematics, a combination or combinations are all the possible groupings that can be made of a given number of elements, without repeating them and regardless of the order in which they are found.
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How many marbles do you need to balance the scale?
Answer:
3
Step-by-step explanation:
plz mark brainliest
A rectangle has an area of 72 square units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4.
What is the rectangle's length?
A. 6
B. 7
C. 8
D. 9
Answer:
8
Step-by-step explanation:
If you plug in the answers it will give you 9x6= 54 which is wrong and 9x7=63 and 9x9=81 but 9x8=72.
Answer:
C length = 8
Step-by-step explanation:
Area of Rectangle = lw
A = lw Substitute l = (2x + 4) ; w = 9
72 = (2x + 4)9
72 = 18x + 36
36 = -36
36 = 18x
36/18 = x
2 = x
Substitute into l = 2x + 4 ; l = 2(2) + 4; l = 4 + 4 ; l = 8