part 2: suppose that a simple random sample of tanks is selected and the sample mean capacity is found to be 8550 gallons. what is the z-score corresponding to this sample mean?
A simple random sample of tanks is selected and the sample mean capacity is found to be 8550 gallons. Therefore, The z score corresponding to a tank with a capacity of 8550 gallons is z = 0.50.
We can see that the actual capacity of the tank is normally distributed with a mean of 8544 gallons and a standard deviation of 12 gallons.
The actual capacity of the tank is normally distributed.
Let X = the actual volume of the tank
SO, X ~ Normal(μ = 8544 , σ² = (12)²)
The normal z-score probability distribution is given by:
Z = ~ N(0,1)
where μ = average capacity = 8544 gallons
σ = standard deviation = 12 gallons
Z score measures how many standard deviations the measurements are from the mean To do. Once you have determined the Z-score, look at the Z-score table to find the p-value (area) associated with that Z-score. This p-value is the probability that the value of the measure is less than X. which means that Percentile of X.
Now,
The probability of a randomly selected tank having a capacity of less than 8550 gallons is given by = P(X < 8550 gallons)
P(X < 8550 gallons) = P ( X - μ /σ < 8550 - 8544/12 )
= P(Z < 0.50)
= 0.6915
The above probabilities are calculated considering the value of x = 0.50 in a z-table with an area of 0.6915.
Therefore, The Z value corresponding to a tank with a capacity of 8550 gallons is z=0.
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(36+4) divided by 10 how do I write it in a story problem
Step-by-step explanation:
you can write it as
the sum of of thirty six(36) and four(4) is divided by Ten(10)
find the points on the curve x = t^3 - 3t, y = t^3 - 3t^2 where the tangent line is horizontal or vertical/
The only point where the tangent line is vertical is (0, 0)..
To find the points on the curve where the tangent line is horizontal or vertical, we need to find where the slope of the tangent line is zero (for a horizontal tangent line) or undefined (for a vertical tangent line). The slope of the tangent line is given by the derivative of y with respect to x, dy/dx:
dy/dx = (dy/dt)/(dx/dt) = (3t^2 - 6t)/(3t^2 - 3)
Setting the numerator equal to zero, we get:
3t^2 - 6t = 0
Factorizing, we get:
3t(t - 2) = 0
So the critical points are t = 0 and t = 2.
At t = 0, we have x = 0 and y = 0, so the point is (0, 0).
At t = 2, we have x = 2 and y = -8, so the point is (2, -8).
To determine if the tangent line is vertical or horizontal at each point, we need to look at the derivative dx/dt:
dx/dt = 3t^2 - 3
At t = 0, dx/dt = -3, which means the tangent line is vertical.
At t = 2, dx/dt = 9, which means the tangent line is not vertical.
To find out if the tangent line is horizontal at t = 2, we can look at the derivative of dy/dt:
dy/dt = 9t^2 - 6t
At t = 2, dy/dt = 24, which means the tangent line is not horizontal.
Therefore, the only point where the tangent line is vertical is (0, 0).
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Sam ran 63,756 feet in 70 minutes what is Sam's rate in miles per hour? (there are 5,280 feet in one mile.)
What is Sam's rate as stated?
Answer:
Sam's speed is about 10.3 mi/h.
Step-by-step explanation:
Sam's speed is about 10.3 mi/h.
Explanation:
Use dimensional analysis.
Determine the equality between miles and feet, and hours and minutes.
1 mi=5280 ft
1 h=60 m
Each equality can make two conversion factors, which are equal to one.
1 mi
5280 ft
=
1
=
5280 ft
1mi
1 h
60 min
=
1
=
60 min
1 h
Multiply the given value by the conversion factor that has the desired unit in the numerator. This will leave you with the desired unit, and the undesired unit in the denominator will cancel.
Convert feet to miles.
63756
ft
×
1
mi
5280
ft
=
12.075 mi
Convert minutes to hours.
70
min
×
1
h
60
min
=
1.167 hour
Divide miles by hours.
12.075
mi
1.167
h
=
10.3 mi/h
If there are infinite numbers of solutions of the two equations : x+4y=7 , 3X+ky = 21, then k =
Answer:
k = 12
Step-by-step explanation:
x + 4y = 7 ---------- (1)
3x + Ky = 21 -------- (2)
from equation 1
x = 7 - 4y
put the value of x in equation 2
3x + Ky = 21
3( 7 - 4y) + Ky = 21
21 - 12y + Ky = 21
Ky = 21 - 21 + 12y
Ky = 12y
divide both sides by y
k = 12
The value of the term k is equal to 12
We are given that there are infinite numbers of solutions of the two equations :
x + 4y = 7 ---------- (1)
3x + Ky = 21 -------- (2)
Then from equation 1
x = 7 - 4y
put the value of x in equation 2
3x + Ky = 21
3( 7 - 4y) + Ky = 21
21 - 12y + Ky = 21
Ky = 21 - 21 + 12y
Ky = 12y
Then divide both sides by y
k = 12
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Shively describes substantive justice as people being treated as they deserve. often giving people what they deserve means treating them unequally. explain the two situations/criteria in which justice means unequal treatment and then apply them to a situation in which a successful businessman earns a million dollars, while less successful citizens go hungry. by which criterion is this just? by which criterion is this unjust? explain.
Justice sometimes requires unequal treatment based on merit or need. In the case of the successful businessman and less successful citizens, the businessman may deserve his wealth based on merit, but it is unjust for those in greater need to go hungry.
According to Shively, substantive justice refers to treating people as they deserve. However, this does not always mean equal treatment. There are two criteria in which justice requires unequal treatment. The first criterion is merit. People who have worked hard, achieved more, and contributed more to society deserve greater rewards than those who have not. The second criterion is need. People who are in greater need deserve greater assistance than those who are not.
Applying these criteria to the situation in which a successful businessman earns a million dollars while less successful citizens go hungry, we can see that by the criterion of merit, the businessman deserves the million dollars. He has worked hard, achieved more, and contributed more to society than those who are less successful. However, by the criterion of need, it is unjust for the less successful citizens to go hungry while the businessman has such wealth. They are in greater need and deserve greater assistance.
In conclusion, justice sometimes requires unequal treatment based on merit or need. In the case of the successful businessman and less successful citizens, the businessman may deserve his wealth based on merit, but it is unjust for those in greater need to go hungry. Therefore, we must strive to find a balance between these criteria to ensure that everyone is treated justly.
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Simplify the equation 4x^{2}=64
determine the velocity vector () of the path ()=(cos2(4),7−4,−7). (write your solution using the form (*,*,*). use symbolic notation and fractions where needed.)
The velocity vector of the path is (-2sin(2t), -4, 0).
To determine the velocity vector of the path (cos(2t), 7-4t, -7), we need to take the derivative of each component with respect to time:
dx/dt = -2sin(2t)
dy/dt = -4
dz/dt = 0
So the velocity vector is (dx/dt, dy/dt, dz/dt) = (-2sin(2t), -4, 0). However, since we are not given a specific value of t, we cannot simplify this any further. Therefore, the velocity vector of the path is (-2sin(2t), -4, 0).
The velocity vector gives us information about the direction and magnitude of the movement of an object along a path. In this case, the object moves with a changing horizontal component and a constant vertical component.
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2. Which theorem can you use to conclude that AABC ~ ADEF?
A. the pythagorean theorem
B. triangle sum theorem
C. angle-angle similarity theorem
D. interior angle theorem
Answer:
A
Step-by-step explanation:
i had the same question when i had honors trust me :> you gut this
Philip drove 66km from Liverpool to Sheffield at 80km/h.
How many minutes did this take him?
Answer:
49.5 minutes
Step-by-step explanation:
Amount of time that Philip took
= \(\frac{distance}{speed}\)
= \(\frac{66km}{80km/h}\)
= \(0.825h\)
= \(49.5 min\)
What is the determinant of the coefficient matrix of the system -x-y-z=3 -x-y-z=8 3x+2y+z=0
-11
-2
0
55
The determinant of the coefficient matrix of the given system is 5.
We need to find the determinant of the coefficient matrix of the system given below:
-x - y - z = 3
-x - y - z = 8
3x + 2y + z = 0
The coefficient matrix of the system is given by the following matrix:
[-1 -1 -1]
[-1 -1 -1]
[ 3 2 1]
Now, let's find the determinant of the above matrix:
|A| = -1 * [( -1 * 1 ) - (-1 * 2)] - (-1) * [(-1 * 1) - (3 * 2)] + 1 * [(-1 * 2) - (3 * 1)]
|A| = -1 * (-1 - 2) - (-1) * (-1 - 6) + 1 * (-2 - 3)
|A| = -1 * (-3) - (-1) * (-7) + 1 * (-5)
|A| = 3 + 7 - 5
|A| = 5
Hence, the determinant of the coefficient matrix of the given system is 5.
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Please help with 8 the last question
Answer:
First choice, 25
Step-by-step explanation:
200 times 1/8 = 200/8 = 25
Determine the area of the triangle
Answer:
(d) 223.6 square units
Step-by-step explanation:
You want the area of the triangle with sides 30 and 34, and and enclosed angle of 26°.
AreaThe formula for the area of the triangle is ...
Area = 1/2(ab·sin(C))
where a, b are side lengths, and C is the angle between them.
ApplicationUsing the given numbers, we find the area to be ...
Area = 1/2(30·34·sin(26°)) = 510·sin(26°) ≈ 223.6 . . . square units
The area of the triangle is about 223.6 square units.
Can i use some help? im really confused on how to show my work and all
Answer:
3/20
Step-by-step explanation:
15% = \(\dfrac{15}{100}\)
Divide the numerator and denominator by 5
= \(\dfrac{3}{20}\)
Answer:
3/20
15%/100% = 3/20 by dividing top and bottom by 5
15/5=3
100/5 =20
Hope this helps!
could someone help for 10 points?
a game of chance consists of spinning an arrow on a 3 circular board, divided into 8 equal parts, which comes to rest pointing at one of the numbers 1, 2, 3, ..., 8 which are equally likely outcomes. what is the probability that the arrow will point at (i) an odd number?
The probability of the arrow landing on an odd number is the number of odd numbers divided by the total number of possible outcomes. Therefore, the probability of the arrow landing on an odd number is 0.5 or 50%.
To find the probability that the arrow will point at an odd number on a circular board with 8 equal parts, we'll first determine the total number of odd numbers present and then divide that by the total number of possible outcomes.
Step 1: Identify the odd numbers on the board. They are 1, 3, 5, and 7. The game consists of spinning the arrow on a circular board with 8 equal parts, which means there are 8 possible outcomes or numbers. Since we want to know the probability of landing on an odd number, we need to count how many odd numbers are on the board. In this case, there are four odd numbers: 1, 3, 5, and 7.
Step 2: Count the total number of odd numbers. There are 4 odd numbers.
Step 3: Count the total number of possible outcomes. Since the board is divided into 8 equal parts, there are 8 possible outcomes.
Step 4: Calculate the probability. The probability of the arrow pointing at an odd number is the number of odd numbers divided by the total number of possible outcomes.
Probability = (Number of odd numbers) / (Total number of possible outcomes)
Probability of landing on an odd number = Number of odd numbers / Total number of possible outcomes
Probability of landing on an odd number = 4 / 8
Step 5: Simplify the fraction. The probability of the arrow pointing at an odd number is 1/2 or 50%.
So, the probability that the arrow will point at an odd number is 1/2 or 50%.
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The highest temperature on a winter day in New York City was 11°C. The lowest temperature on the same day in the same city was -8 °C. How much did the temperature drop over the course of the day?
Answer:
29°C
Step-by-step explanation:
Given the following
Highest temperature= 11°C
lowest temperature
Drop in temperature = highest - lowest
Drop in temperature = 18 - ()-11)
Drop in temperature = 18 + 11
Drop in temperature = 29°C
What angles go with the angle pairs? Just a simple checklist please :).
Answer:
Here is the answer
Step-by-step explanation:
∠1 and ∠6 are adjacent because they share the same vertex and the same common side.
∠2 and ∠5 are vertical angles since they have pairs on opposite sides of the angle.
∠3 and ∠6 have none of the above.
∠5 and ∠3 are a linear pair because the angles are opposite of each other.
How does the graph of f(x) = 3|x+2|+4 relate to its parent function?
A. The parent function has been translated to the left.
B. The parent function has been stretched.
C. The parent function has been compressed.
D. The parent function has been translated up.
Answer:
If the parent function is f(x)=|x+2|+4 and it is moved to the left 2 units vertically stretched by a factor of 3 and moved up by 4 units in that order because to move a function to left c units, add c to every x to vertically stretch function by a factor of c, multiply the whole function by c to move function up c units, add c to the whole function so it is 2 to the left, vertically stretched by a factor of 3 then moved up 4 units.
The points relates to parent function are:
The parent function was translated upward. The parent function was moved to the left. The parent function has been overburdened. What is a parent function?In mathematics, a parent function is the simplest function in a family of functions that maintains the definition of the entire family.
In graphing, the parent function is the basic equation where the graph is not transformed. A straight line, for example, has a parent function of y=x. The equations from such transformations will still be part of the family of lines if this graph is translated, reflected, rotated, or dilated.
The graph depicts the function f(x) - 3|x+2|+4.
The parent function was translated upward.
The parent function was moved to the left.
The parent function has been overburdened.
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Question Progress
BR
Bernie, Eddy and Gery share £450
Bernie gets twice as much as Eddy who gets three times as much as Gery.
Work out how much they each get.
?
Bernie gets 270, Eddy gets 135, and Gery gets 45.
What is linear equation?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation
Given,
Total amount of money = 450
Let B bernie's amoutn, E is eddy's And G is gery's
B = 2E
E = 3G
G = 3/E
B+E+G =450
2E+3G+G=450
2(3G)+3G+G = 450
10 G = 450
G = 45
E = 135
B = 270
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The product rule can be used to predict the ______. Multiple choice question. probability of dependent events probability of both independent and dependent events outcome of multiple unordered events probability of independent events
The product rule can be used to predict the probability of independent events. In probability theory, an event refers to a set of possible outcomes of an experiment. Two events are said to be independent if the occurrence of one does not affect the probability of the occurrence of the other.
For two independent events, A and B, the product rule states that the probability of both A and B occurring is given by the product of their individual probabilities: P(A and B) = P(A) x P(B).This rule is used to determine the probability of two or more events happening together. It is based on the assumption that the events are independent, meaning the occurrence of one does not affect the probability of the occurrence of the other.
In case of dependent events, the probability of the second event depends on the outcome of the first event. In that case, the product rule is not applicable.The product rule is a fundamental principle of probability theory and is widely used in many areas of science and engineering. It has important applications in fields such as genetics, finance, and insurance, where probabilities of independent events are often calculated.
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HELPP!! PLS PLS
can someone show me a graph of a line going through (-1,2) with a slope of -3/4
Answer:
We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.
Hope this helps!
Here is the diagram:
John bought 8 watches for $56 and his friend victor bought 7 watches for $63. whose watch is expensive ?
The sum of the ages of Bailey and Celine is x years. If Celine is 8 years older than Bailey, how many years old will Celine be x years from now, in terms of x
Step-by-step explanation:
b = age of Bailey
c = age of Celine
b + c = x
c = b + 8
so, using that identity in the first equation
b + b + 8 = x
2b + 8 = x
or, to go "after" c (Celine) :
b = c - 8
c - 8 + c = x
2c - 8 = x
2c = x + 8
c = (x + 8)/2
in x years c will have increased to c+x, and b to b+x.
so,
b + x + c + x = x + 2x = 3x
and
2c - 8 = 3x
2c = 3x + 8
c = (3x + 8)/2
Find the balance if $22000 is invested in an account with an 8% annual interest rate, compounded semi-annually for 15 years (round to the nearest penny)The balance will be $___
A = 22000(1 + 0.08/2)^(15*2)
A = 71354,75
A recipe for a punch call for 12 fluid ounces of orange juice. reyna needs to make 4 batches of punch for a party. how many quarts of orange juice will reyna need? need help fast!! please!
Reyna will need 0.048 quart of orange juice.
In this question, we have been given a recipe for a punch call for 12 fluid ounces of orange juice.
Reyna needs to make 4 batches of punch for a party.
We need to find number of quarts of orange juice Reyna will need.
From given conditions, we formulate:
= 4 × 12 ÷ 1000
= 12 ÷ 250 .................(Separate out the common factor)
= 6/125
= 0.048 quart
Therefore, Reyna will need 0.048 quart of orange juice.
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What is the standard deviation of scores for the tenth
level?
O 215
0 311
O 354
0 430
Answer:354
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
GOT IT RIGHT ON TEST!!!!
what is the coeffcients of 3m + 5 = 1
Find the difference quotient of f; that is, find f(x+h)−f(x)/h ,h is not equal to 0, for the following function. Be sure to simplify. f(x)=x^2−6x+5
The difference quotient of \(f(x) = x^2 - 6x + 5\) is is 2x - 6 + h.
To find the difference quotient for the function \(f(x) = x^2 - 6x + 5\), we need to evaluate
(f(x + h) - f(x)) / h, where h is not equal to 0.
First, let's find f(x + h):
\(f(x + h) = (x + h)^2 - 6(x + h) + 5\)
\(= x^2 + 2hx + h^2 - 6x - 6h + 5\)
\(= x^2 - 6x + 5 + 2hx - 6h + h^2\)
Now, we can substitute the values of f(x + h) and f(x) into the difference quotient:
\((f(x + h) - f(x)) / h = ((x^2 - 6x + 5 + 2hx - 6h + h^2) - (x^2 - 6x + 5)) / h\)
= (2hx - 6h + h^2) / h
= 2x - 6 + h
Therefore, the difference quotient of \(f(x) = x^2 - 6x + 5\) is 2x - 6 + h.
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What is the value of the expression?
8 1/2 - 2 + 4 2/3
Answer:
Step-by-step explanation:
The answer is 11 1/4
also if you know someone who has brainly plus can you tell them if I can use it for 1-2 days for edgeunity i'll give them 25 points possibly more