Answer:
Volume of water would be 12,200,000 m^3
Step-by-step explanation:
hope that helps :D
If the mean GPA among students is 3.25 with a standard deviation of 0.75, what is the probability that a random sample of 300 students will have a mean GPA greater than 3.30
Answer:
The value is \(P(X > 3.30) = 0.12405\)
Step-by-step explanation:
From the question we are told that
The mean GPA is \(\mu = 3.25\)
The standard deviation is \(\sigma = 0.75\)
The sample size is n = 300
Generally the standard error of mean is mathematically represented as
\(\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }\)
=> \(\sigma_{\= x} = \frac{0.75}{\sqrt{300} }\)
=> \(\sigma_{\= x} = 0.0433\)
Generally the probability that a random sample of 300 students will have a mean GPA greater than 3.30 is mathematically represented as
\(P(X > 3.30) = P(\frac{X - \mu}{\sigma_{\= x}} > \frac{3.30 -3.25}{ 0.0433} )\)
\(\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )\)
\(P(X > 3.30) = P(Z> 1.155 )\)
From the z table the probability of (Z > 1.155 ) is
\(P(Z> 1.155 ) = 0.12405\)
\(P(X > 3.30) = 0.12405\)
Determine that the value x=9 of the following expiration given x2+3x-5
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
Consider a clock with an hour hand and a minute hand. What is the measure of the angle the minute hand traces in 37 minutes. Your answer should be in radians.
9514 1404 393
Answer:
37π/30 radians
Step-by-step explanation:
In 60 minutes, the minute had makes one full circle, or 2π radians. Then its rate of sweep is ...
(2π radians)/(60 minutes) = π/30 radians per minute
The angle swept in 37 minutes will be ...
(37 min)(π/30 rad/min) = 37π/30 radians
What is the name of these lines?
Answer:
perpendicular lines
Step-by-step explanation:
What is the rental cost? Step by step.
The rental cost in dollars per square foot is $11,00
What is the rental cost in dollars per square foot?Cost of renting 1.250 square feet = $13, 750 per month
Rental cost per square foot = Total renting cost / total renting area
= $13, 750 per month / 1.250 square feet
= $11,000
Hence, $11,000 is the rental cost in dollars per square foot.
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Pendulum formula need help asap
Answer:
T = 2*PI* sq root (L / g)
Squaring both sides
T^2 = 4PI^2 * L/g
g = 4PI^2 * L / T^2
g = 4PI^2 * 1 / (3.27)^2
g = 39.4784176044 * 1 / 10.6929
g = 3.6920215848
(Wikipedia says 3.72076, so I'd say the calculation is correct).
Step-by-step explanation:
The figure below is a rhombus.
w = [? ]°
Answer:
Step-by-step explanation:
The fastest speed a table-tenis ball has been hit is about 13.07 times as fast as the fastest swimming speed which is 5.35.
What is the fastest speed of a rable-tennisball?
The fastest speed a table-tenis ball is 69.92.
According to the statement
we have to find that the fastest speed of a table-tennis ball with the given information.
For this purpose, we know that the
Speed is the rate at which someone or something is able to move.
From the give information:
The fastest speed a table-tenis ball has been hit is about 13.07 times as fast as the fastest swimming speed which is 5.35.
Now, the speed of the fastest swimming is 5.35
And
the speed of the table-tenis ball has been hit is about 13.07 times as fast as the fastest swimming speed
The equation become
5.35(13.07)
Then
fastest speed a table-tenis ball = 5.35(13.07)
fastest speed a table-tenis ball = 69.92
So, The fastest speed a table-tenis ball is 69.92.
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The Question Is Inside Of The Picture
The percentage of sugar price per pound less than 64 cents is 50%
What percentage of sugar price per pound are less than 64 centsFrom the question, we have the following parameters that can be used in our computation:
Mean = 64
Standard deviation = 2
For sugar price per pound that are less than 64 cents, we have
z = (64 - 64)/2
z = 0
This is then represented as
Probability = (z < 0)
Using a graphing calculator, we have
Probability = 0.5
Express as percentage
Probability = 50%
Hence, the probability is 50%
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8. If a hummingbird were to get all of its food from a feeder, then a 16-ounce nectar feede
feed about 80 hummingbirds a day. How many hummingbirds would you expect to be
feed with a 12-ounce feeder?
Which of the following is NOT used for calculating slope.
(y-y)/(x-x)
Y/x
change in y over the change in x
right triangle on a graph
rise/run
(x-x)/(y-y)
Delta y over Delta X
Answer:
(x-x)/(y-y)
Step-by-step explanation:
Slope is defined by the change in y divided by the change in x, not the change in x divided by the change in y.
List the subsets of the set { dog,cat,rabbit}
Answer: so dog goes to cat, dog goes to rabbit and cat goes to rabbit I think
Step-by-step explanation:
The possible Subset is
Sub sets : {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}.
What is a subset ?If each constituent of a set A is a member of a different set B, then the sets A and B are subsets of one another.
To put it another way, A⊂B A and B stand for the subset connection.
Set A is referred to as a subset of Set B if all of the elements in Set A are also found in Set B. In other words, Set A is a part of Set B. A is the subset of B, for instance, if set A contains the elements X, Y, and set B contains the elements X, Y, and Z.
We have set,
Set : {dog, cat, fish}
Then, the subset contain the elements of set A as
Sub sets : {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}.
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on Wednesday, a baker produced 100 more loaves of bread than were produced on Tuesday. On Thursday, the baker produced 50 fewer loaves than were produced on Tuesday. If the total number of loaves produced on all three days was 230, how many loaves were produced on Wednesday
I think I did the math wrong, but I got the 130 for Wednesday.
230 - Thurs
- 100
130 - Wednesday
- 50
80 - Tuesday
I can try and explain it, but it's a confusing question.
Answer:
This is really confusing but I think 130
Step-by-step explanation:
What is an example of "A transfinite sequence"?
A transfinite sequence is any sequence of numbers which can be indexed by an ordinal number.
What is transfinite sequenceA typical example of a transfinite sequence is the sequence of ordinal numbers themselves, which starts with 0, then 1, 2, 3,etc. continuing through all the countable ordinals and beyond.
Another example is the sequence of functions from the unit interval [0,1] to itself, indexed by the ordinal numbers in the Baire space.
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QUICK HELP PLEASE!!!!!
HOPE THIS HELPS YOU.HAVE A NICE DAY....
A truck can be rented from Company A for $120 a day plus $0.50 per mile. Company B charges $80 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
What is the solution of the equation 3/4x + 5 = -9
PLEASE HELPPPP
Answer:
-18 2/3 or -56/3
Step-by-step explanation:
What is the coefficient in the expression 10x? -7 ?
A 7
B. X
O c. 10
O D. 2
Answer:
C.) 10
Step-by-step explanation:
Which equation is equivalent to 2 Superscript 4 x Baseline = 8 Superscript x minus 3?
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 3
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 6
2 Superscript 4 x Baseline = 2 Superscript 3 x minus 3
The equivalent exponential equations are given as follows:
\(2^{4x} = 2^{3(x - 3)}\)
How to obtain the equivalent exponential expression?The exponential expression for this problem is defined as follows:
\(2^{4x} = 8^{x - 3}\)
The number eight is the third power of 3, that is:
8 = 2³.
The power of a power rule is used when a single base is elevated to multiple exponents.
Then the simplified expression is obtained keeping the base, while the exponents are multiplied.
Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:
\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)
Meaning that the correct option is given by the fourth option.
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Ameera had $10.50 with her. She bought some pencils costing $2.50 each and some
erasers costing $1.00 each. Could she buy 4 pencils and 3 erasers with the money she had?
Answer:
She can't buy 4 pencils and 3 erasers.
Step-by-step explanation:
$1.00 × 3 = $3
$2.50 × 3 = $7.5
$7.5 + $3 = 10.5
She can't because when you times ($2.50 × 3) + $3 = you get 10.5
Which would be the budget.
Mean for population data
Answer:
I need only 5 brainlisted please give me
Step-by-step explanation:
please understand my situation
1. Area or A = bh/2, with b = base and h = height. Remember Area is in square cm or cm^2. a. Find A if b = 36, h = 12 b. Find A if b = 13.8, and h = 9.5 c. Find bif A = 32, and h = 4.
Based on the given values of b and h, you obtain:
a.
A = (36)(12)/2
A = 216
b.
A = (13.8)(9.5)/2
A = 65.55
c.
In this case solve the equation A=bh/2 for b, as follow:
b = 2A/h
b = 2(32)/4
b = 16
The Campbells are saving up to go on a family vacation in 5 years. They invest $2800
into an account with an annual interest rate of 1.46% compounded monthly. Assuming no withdrawals are made, how much money is in the Campbells' account after 5 years?
Answer:
look at the explanation 20,440
Step-by-step explanation:
so the invested 2,800 $ and the interest rate is 1.46 so first what I would do is 1.46 times 5 = 7.3 then 7.3 x 2,800 =20,440
so I think the answer is 20,440
not sure if this is correct but I gave it my all
or you could just do 2800 time 5 time 1.46
I need to solve the equation to get x, can someone please help:(
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Part 1
For this problem, refer to the sequences graphed below
a. Identify each sequence as arithmetic, geometric, or neither
b. If it is arithmetic or geometric, describe the sequence generator
n t(n)
0 16
1 13
2 10
3 7
4 4
5 1
Answer:
a) Arithmetic,b) t(n) = 16 - 3n.-------------------------------
We observe that the sequence is decreasing with common difference of - 3.
16, 13, 10, 7, 4, 1Therefore, this is an AP, with the first term of t(1) = 13 and common difference of d = -3.
Use the nth term formula for AP:
t(n) = t(1) + (n - 1)dt(n) = 13 + (n - 1)(- 3) = 13 - 3n + 3 = 16 - 3nAnswer:
a) Arithmetic sequence
b) t(n) = 16 - 3n
Step-by-step explanation:
An Arithmetic Sequence has a constant difference between each consecutive term.
A Geometric Sequence has a constant ratio (multiplier) between each consecutive term.
Part (a)From inspection of the given table, t(n) decreases by 3 each time n increases by 1. Therefore, the sequence is arithmetic with a common difference of -3.
Part (b)\(\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a_n$ is the nth term. \\ \phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)
Given:
a = 13d = -3aₙ = t(n)Substitute the initial value (when n = 1) and the common difference into the formula to create an equation for the nth term:
\(\implies t(n)=13+(n-1)(-3)\)
\(\implies t(n)=13-3n+3\)
\(\implies t(n)=16-3n\)
If a square -2 a minus one equals to zero then find a minus one a
Answer:
To find a and minus one a, we need to factorize the equation -2a^2 - a + 1 = 0.
First, we can simplify the equation by multiplying both sides by -1, so we have:
2a^2 + a - 1 = 0
Next, we can use the quadratic formula to solve for a:
a = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values for our equation, we have:
a = (-1 ± √(1^2 - 4(2)(-1))) / 2(2)
Simplifying this equation, we get:
a = (-1 ± √9) / 4
a = (-1 ± 3) / 4 Therefore, we get two possible values for a: a = -1/2 or a = 1/2
Now, we can use these values to find minus one a: If a = -1/2, then minus one a = -2/2 = -1 If a = 1/2,
then minus one a = 3/2 = 1Therefore, a can't be either -1/2 or 1/2.
Step-by-step explanation:
To find a and minus one a, we need to factorize the equation -2a^2 - a + 1 = 0.
First, we can simplify the equation by multiplying both sides by -1, so we have:
2a^2 + a - 1 = 0
Next, we can use the quadratic formula to solve for a:
a = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values for our equation, we have:
a = (-1 ± √(1^2 - 4(2)(-1))) / 2(2)
Simplifying this equation, we get:
a = (-1 ± √9) / 4
a = (-1 ± 3) / 4 Therefore, we get two possible values for a: a = -1/2 or a = 1/2
Now, we can use these values to find minus one a: If a = -1/2, then minus one a = -2/2 = -1 If a = 1/2,
then minus one a = 3/2 = 1Therefore, a can't be either -1/2 or 1/2.
Alma is going to Europe and wants to exchange $1,200 into euros. If each dollar is 0.75 euros, how many euros will alma get?
Answer:
€ 1125
Step-by-step explanation:
Data :
$ = 1500
€ = ?
And 1$ = 0.75€
So
1500 × 0.75 = 1125
Mark brainliest if you understand
Which statement best describes how the circled point influences the correlation shown in the scatterplot?A)Because the point lies outside the linear trend, it weakens the correlation.B)Because the point lies above the linear trend, it strengthens the correlation.C)Because the point follows the linear trend, the correlation does not change.D)Because the point lies outside the linear trend, it strengthens the correlation.
A) Because the point lies outside the linear trend, it weakens the correlation. The intensity and direction of the link between two variables are measured by their correlation.
The scatterplot's points may be used as a visual representation of the link between the two variables and as a tool for assessing the correlation's strength.
The correlation is said to be high if a scatterplot's points show a distinct and recurrent pattern, such as a linear trend. The association is weak, though, if the points are dispersed and don't create a distinct pattern. In scatterplot, outliers can have a large impact on the correlation because they can cause the linear trend to be distorted
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A consulting engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour. A customer received a bill for $425 fir a certain job. If the assistant worked 5 hours less than the engineer, how much time did each bill on the job?
Engineer: _____ hr
Assistant: ______ hr
Answer:
Engineer: 9.5 hr
Assistant: 4.5 hr
Step-by-step explanation:
To solve this problem, we can create and solve a system of equations.
Define the variables:
Let x be the number of hours the engineer worked.Let y be the number of hours the assistant worked.Given the engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour, and a customer received a bill for $425 for a certain job:
\(40x+10y=425\)Given the assistant worked 5 hours less than the engineer:
\(y=x-5\)Therefore, the system of equations that represents the problem is:
\(\begin{cases}40x+10y=425\\ \quad \qquad \;\;\;y=x-5\end{cases}\)
Substitute the second equation into the first equation to eliminate y:
\(40x+10(x-5)=425\)
Solve the equation for x to find the number of hours the engineer worked:
\(\begin{aligned}40x+10(x-5)&=425\\40x+10x-50&=425\\50x-50&=425\\50x&=475\\x&=9.5\end{aligned}\)
Therefore, the engineer worked 9.5 hours.
Substitute the found value of x into the second equation and solve for y to find the number of hours the assistant worked:
\(\begin{aligned}y&=x-5\\y&=9.5-5\\y&=4.5\end{aligned}\)
Therefore, the assistant worked 4.5 hours.
Carl is boarding a plane. He has 222 checked bags of equal weight and a backpack that weighs 4 \text{ kg}4 kg4, start text, space, k, g, end text. The total weight of Carl's baggage is 35 \text{ kg}35 kg35, start text, space, k, g, end text.
Write an equation to determine the weight, www, of each of Carl's checked bags.Find the weight of each of his checked bags.
Answer:
\(w=15.5\)
\(w=\frac{31}{2}\)
Equation:
\(2w+4=35\)
Step-by-step explanation:
\(2w+4=35\\2w=31\\w=15.5\)
Hidden Steps:
1) Subtract 4 on each side of the equation:
\(2w+4-4=21\\35-4=31\)
2) Divide each side of the equation by 2:
\(2w\) ÷ \(2=w\)
\(31\) ÷ \(2=15.5-or-\frac{31}{2}\)
Answer:
Equation: 2w + 4 = 35
Weight: 15.5
Step-by-step explanation:
Let w be the weight of each checked bag.
The weight of Carl's 2 checked bags is 2w kg. The weight of his backpack is 4kg. The total weight of his baggage is 2w + 4 kg.
Since his total baggage weighs 35 kg, let us set this to 35:
2w + 4 = 35
Now you solve:
1. 2w + 4 = 35
2. 2w = 35-4
3. 2w = 31
4. w = 31/2
5. w = 15.5
Therefore, the equation is 2w + 4 = 35 and the solution to " w " is 15.5 kg.
Hopefully this helps you understand more!