Answer:
6825 in^3
Step-by-step explanation:
First break the shape into two shapes a square prism and triangular prism
the volume of a square prism is equal to s^2 * h
and the volume of a triangular prism is 1/2 b * l *h
square prism:
v = s^2 * h
v = 13^2 * 30
v = 5070 in^3
triangular prism:
v = 1/2 b * l * h
v = 1/2 * 9 * 30 * 13
v = 1755 in^3
then you add the two volumes to get the total volume
5070 + 1755 = 6825 in^3
megan feeds her dog 1/2 cup of food each morning and each evening. how much food does she feed him in a 7 day week
Answer:
7 cups
Step-by-step explanation:
1/2 * 2 times per day * 7 days per week = 7
Redundant Array of Inexpensive Discs (RAID) is a technology that uses multiple hard drives to increase the speed of data transfer and provide instant data backup. Suppose that the probability of any hard drive failing in a day is 0.003 and the drive failures are independent. Round your answers to six decimal places (e.g. 98.765432). a.Suppose you implement a RAID 1 scheme that uses two hard drives each containing a mirror image of the other. What is the probability of data loss? Assume that data loss occurs if both drives fail within the same day. b.Suppose you implement a RAID 0 scheme that splits the data over two hard drives. What is the probability of data loss? Assume that data loss occurs if a t le a s t one drive fails within the same day.
Answer:
its not right question
Step-by-step explanation:
its not right
Use a calculator to evaluate the expression.
log 94.4
Answer:
1.97497
Step-by-step explanation:
Using my calculator, I just put in log(94.4).
− 5 � − 6 � = −5x−6y= − 32 −32 4 � − 6 � = 4x−6y= 4
Answer:
Step-by-step explanation:
x-6y=4
To solve these equations, we can use the elimination method. We want to eliminate one of the variables, either x or y, by multiplying one of the equations by a constant so that the coefficients of one variable will be the same in both equations but with opposite signs. For example, we can multiply the first equation by 4 to get:
-20x - 24y = -128
Then we can add this equation to the second equation to eliminate y:
-20x - 24y + 4x - 6y = -128 + 4
Simplifying this equation gives:
-16x - 30y = -124
Now we can isolate one variable in terms of the other:
-16x - 30y = -124
-16x = 30y - 124
x = (30/(-16))y + (-124/(-16))
x = (-15/8)y + 31/2
We can substitute this expression for x into either of the original equations to solve for y. For example, substituting into the first equation gives:
-5((-15/8)y + 31/2) - 6y = -32
Multiplying by -8 to clear the fractions gives:
75y - 248 - 48y = 256
Simplifying and solving for y gives:
27y = 504
y = 18.67
Then we can substitute this value of y back into our expression for x to find:
x = (-15/8)(18.67) + 31/2
x = -12.25
Therefore, the solution to the system of equations is:
x = -12.25
y = 18.67
Graph the line with slope -2 and y intercept-5.
Answer:
If you meant the y-intercept is -5 then the equation is:
y= -2x - 5
If you meant the y-intercept is 5 then the equation is:
y= -2x + 5
Step-by-step explanation:
The first Graph attached corresponds for the first equation.
The second Graph attached corresponds for the second equation.
Robert bought two movie tickets for $10. Deion spent $20 on 4 movie tickets.
please help me ‼️
Answer:
Your answer is 5$ because robert bought 2 tickets for 10$ but Deion spent 20$ on 4 tickets so if we divide 20 by 4 then the answer will be 5.
Answer:
Step-by-step explanation:
5 dollars per movie ticket
What is the 95% confidence interval for the mean number of years of education for lower-class respondents?
the 95% confidence interval for the mean number of years of education for lower-class respondents is (9.6032, 10.3968).
what is mean number ?
In mathematics and statistics, the "mean" typically refers to the arithmetic average of a set of numbers. To find the mean of a set of numbers, you add up all the numbers in the set and divide the total by the number of numbers in the set.
In the given question,
To calculate the 95% confidence interval for the mean number of years of education for lower-class respondents, we need the sample mean, sample standard deviation, sample size, and the t-value for the 95% confidence level with (n-1) degrees of freedom. Here are the steps to calculate the interval:
Collect the sample data of the number of years of education for lower-class respondents.
Calculate the sample mean and the sample standard deviation (s) of the data.
Determine the sample size (n) of the data.
Look up the t-value for the 95% confidence level with (n-1) degrees of freedom. For example, if the sample size is 50, then the degrees of freedom are 49, and the t-value for a 95% confidence level is 2.009 (using a t-distribution table or software).
Calculate the margin of error (ME) using the formula:
ME = t-value x (s / √(n))
Calculate the lower and upper bounds of the confidence interval using the formulas:
Lower bound = x- ME
Upper bound = x + ME
For example, suppose we have a sample of 100 lower-class respondents with a mean of 10 years of education and a standard deviation of 2 years. The degrees of freedom are 99, and the t-value for a 95% confidence level is 1.984 (using a t-distribution table or software).
ME = 1.984 x (2 / √(100)) = 0.3968
Lower bound = 10 - 0.3968 = 9.6032
Upper bound = 10 + 0.3968 = 10.3968
Therefore, the 95% confidence interval for the mean number of years of education for lower-class respondents is (9.6032, 10.3968). We can interpret this interval as follows: we are 95% confident that the true mean number of years of education for all lower-class respondents is between 9.6032 and 10.3968 years.
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Luke's pencil case measure 1.5 inches by 4 inches by 6 inches. How many pencils can he fit in his pencil case if each pencil has a volume of 3 square inches?
Answer:
b
Step-by-step explanation:
a quadratic function is defined by f(x) = x*2 - 8x - 4.
Which expression also defines f and best reveals the max and mini of the function?
a) (x-4)*2 - 20
B) (x-4)*2 + 12
c) x(x-8) -4
d) (x-4)*2 + 20
The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4 is (x - 4)^2 - 20.\) Option A
How to find the expressionThe vertex form of a quadratic function is given by\(f(x) = a(x - h)^2 + k\) where (h, k) represents the coordinates of the vertex.
In the given quadratic function \(f(x) = x^2 - 8x - 4\), we can rewrite it in the vertex form by completing the square:
\(f(x) = (x - 4)^2 - 16 - 4\\f(x) = (x - 4)^2 - 20\)
From this expression, we can see that the vertex of the quadratic function is at the point (4, -20).
The term\((x - 4)^2\) tells us that the vertex is at x = 4, and the constant term -20 indicates the y-coordinate of the vertex.
The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4\) is \((x - 4)^2 - 20.\)
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Hi plz help, if you can ill mark you 5 starz! :)
Answer:
The first one is 5.075
The second one is 3.15
The third one is 5.875
The fourth one is 7.55
If this helped, I would appreciate it if you marked me brainliest! (°◡°♡).:。
Answer:
2.03 x 2.5 = 5.075
1.4 x 2.25 = 3.15
2.35 x 2.5 = 5.875
3.02 x 2.5 = 7.55
the mean cost of domestic airfares is RS 385 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of RS 110. What is the probability that a domestic airfare is RS 550 or more?
Answer: 0.0668
Step-by-step explanation:
Given the following :
Mean (m) Cost = RS385
Standard deviation (s) = RS110
Assume a normal distribution, Probability that domestic airfare is RS550 or more?
P(x > 550)
Find the z - score
Z - score = (x - m) / s
Where x = 550
Z = (550 - 385) / 110
Z = 165 / 110 = 1.5
P(Z > 1.5) = 1 - P(Z ≤1.5)
Using the z table : 1.5 = 0.9332
Therefore,
1 - P(Z ≤1.5) = 1 - 0.9332 = 0.0668
P(x > 550) = 0.0668
How many cities could have an annual rainfall of 28.5 in 32.5 in
Answer:
A) 6
Step-by-step explanation:
Answer:
2. A) 6
Step-by-step explanation:
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i need help on these please
The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.
How to calculate the constant rate of gas?From the given table;
The volume of the first gas Layla bought = 3 gallons.
The cost of the 3 gallons = 9.45
Therefore the cost of 1 gallon = ?
That is:
3 gallons = $9.45
1 gallon = X
Make X the subject of formula:
X = 9.45/3 = $3.15
Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.
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According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 e-mails per day (Entrepreneur magazine website). Assume the number of e-mails received per hour follows a Poisson distribution and that the average number of e-mails received per hour is five.
a) Probability of receiving no e-mails during an hour = 0.0067
b) Probability of receiving at least three e-mails during an hour = 0.8754
c) Expected number of e-mails received during 15 minutes = 1.25
d) Probability that no e-mails are received during 15 minutes = 0.2865
Given that five emails are typically received every hour. If X represents the number of emails received in an hour, then X is poisoned with the given parameter, λ = 5.
⇒ P (X = x) = \(\frac{e^{ -x} X^{x}}{x!} = \frac{e^{-5} 5^{x}}{x!}\)
(a) Likelihood of not receiving any emails for an hour = p (x = 0)
= (e⁻⁵5⁰) / 0! = (e⁻⁵ * 1) / 1 = e⁻⁵ = 0.00674 ≈ 0.0067
(b) Likelihood of receiving three or more emails in a single hour P(x ≥ 3)
= 1 - [P (x < 3) = 1 - [P(x = 0) + P(x = 1) + P(x = 2)]
= 1 - [(e⁻⁵5⁰) / 0! + (e⁻⁵5¹) / 1! + (e⁻⁵5²) / 2!]
= 1 - [0.00674 + 0.03369 + 0.08422]
= 1 - 0.12465
= 0.87535 ≈ 0.8754
(c) The number of emails that should be received in the next 60 minutes = an hour's worth of emails on average = 5
As a result, the anticipated quantity of emails received in 15 minutes = 5 / 4 = 1.25
(d) Number of emails received on average every 15 minutes = Number of emails that should be received in the next 15 minutes = 1.25
Let X represent how many emails were received in 15 minutes. X then proceeds with a parameterized Poisson distribution, λ = 1.25
⇒ P (x = X) = \(\frac{e^{-x} X^{x} }{x!} = \frac{e^{-1.25}1.25^{x} }{x!}\)
The likelihood that no emails will be received during the next 15 minutes = \(\frac{e^{-1.25}* (1.25)^{0} }{0!} = \frac{e^{-1.25}*1 }{1} = e^{-1.25} = 0.2865\)
COMPLETE QUESTION: According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 e-mails per day (Entrepreneur magazine website). Assume the number of e-mails received per hour follows a Poisson distribution and that the average number of e-mails received per hour is five.
a. What is the probability of receiving no e-mails during an hour (to 4 decimals)?
b. What is the probability of receiving at least three e-mails during an hour (to 4 decimals)? For this question, if calculating the probability manually make sure to carry at least 4 decimal digits in your calculations.
c. What is the expected number of e-mails received during 15 minutes (to 2 decimals)?
d. What is the probability that no e-mails are received during 15 minutes (to 4 decimals)?
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Round each number to the nearest...
tenth: 29.526
hundredth: 71.284
whole number: 648.722
To round a number to the nearest position, we must consider the number after that position. If it is greater than 5, we must round up and vice versa
1. 29.526 --> 29.5
2. 71.284 --> 71.28
3. 648.722 --> 648
Hope that helps!
Answer:
tenth: 29.526 = 29.5
hundredth: 71.284 = 71.28
whole number: 648.722 = 649
Step-by-step explanation:
When you are rounding to the given place they give you, you always look at the next digit on the right side of it and see if it's 5 or greater (5, 6, 7, 8, 9, 10) then you would round the decimal place up 1 and leave the rest of the digits after it 0, though if it was below 5(4, 3, 2, 1, 0) then you would round the number as it is and leave the rest of the digits after it 0 as well.
The annual rate, r, it takes for 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
Find the rate necessary for a dollar to triple in 2 years.
The rate of interest is 73%.
What is the annual rate?
The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.
Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
A dollar to triple in 2 years.
Thus putting X = 3 in X = (1+r) ²
3 = (1+r) ²
Take square root on both sides:
√3 = 1 + r
Subtract 1 from both sides:
r = √3 - 1
r = 0.73
r = 73%
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For each point find the coordinates of the image point under a half turn about the origin
a(3,0)
b(3,4)
c(-1,-4)
d(r,s)
Answer:
see explanation
Step-by-step explanation:
Under a half turn about the origin
a point (x, y ) → (- x, - y ) , thus
(3, 0 ) → (- 3, 0 )
(3, 4 ) → (- 3, - 4 )
(- 1, - 4 ) → (1, 4 )
(r, s ) → (- r, - s )
The coordinates of the image point under a half-turn about the origin(3, 0 ) is (- 3, 0 ), (3, 4 ) is (- 3, - 4 ), (- 1, - 4 ) is (1, 4 ), (r, s ) is (- r, - s ).
What is a mirror image of a point in coordinate geometry?The mirror image of a point in coordinate geometry is the image formed with respect to the x-axis, y-axis, or origin.
A point (x, y ) has image point (- x, - y )
Thus,
The coordinates of the image point under a half-turn about the origin(3, 0 ) is (- 3, 0 )
The coordinates of the image point under a half-turn about the origin(3, 4 ) is (- 3, - 4 )
The coordinates of the image point under a half-turn about the origin(- 1, - 4 ) is (1, 4 )
The coordinates of the image point under a half-turn about the origin(r, s ) is (- r, - s )
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Question 3
Find the area of the following figure. All corners are right angles.
3cm
A1
A2
2cm
2em
5cm
Write down your answer and show how you worked out your answer.
Answer:
a = 9 cm
Step-by-step explanation:
We are given that
perimeter of shaded area = 1 m = 100 cm
But according to given diagram
The perimeter of shaded area = ( 3a + 2a + 2 + 2a + 3 + 2 + 3a + 3 ) cm
= (10a + 10) cm
By using given perimeter = 1 cm we get
The perimeter of shaded area = ( 10a + 10 ) cm = 100 cm
10a = 90 cm
a = 90 / 10 = 9 cm
Thus
a = 9 cm
Hope this helps!
What is the solution to |x-2| + 3 > 17?
Ox<-12 or x > 16
Ox<-14 or x>7
O-12
O-14
Answer:
x<-12 or x>16
Step-by-step explanation:
Answer:
|x - 2| + 3 > 17
|x - 2| > 14
x - 2 < -14 or x - 2 > 14
x < -12 or x > 16
given the following table with selected values of f(x) and g(x) evaluate f(g(1))
The value of f(g(1) from the table of functions is given as 1.
What is Functions ?Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.
when x = 1
g(x) = 3
or f(g(1) = f(3) = 1
The value of f(g(1) from the table of functions is given as 1.
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Subtract:
(3x^3– 10x^2+ 13x) – (5x^3+ 4x² – 9x)
A. 8x^3 + 14x^2 - 22x
B. 8x^3 - 6x^2 + 4x
C. 2x^3 - 6x^2 - 4x
D. -2x^3 - 14x^2 + 22x
Answer:
D. -2x^3 - 14x^2 + 22x
Step-by-step explanation:
1) Remove parentheses.
3x³ - 10x² + 13x - 5x³ - 4x² + 9x
2) Collect like terms.
(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x)
3) Simplify.
-2x³ - 14x² + 22x
Suppose that ƒ is a function given as f(x) = 4x² + 5x + 3.
Simplify the expression f(x + h).
f(x + h)
Simplify the difference quotient,
ƒ(x + h) − ƒ(x)
h
=
Submit Question
The derivative of the function at x is the limit of the difference quotient as h approaches zero.
f(x+h)-f(x)
f'(x) =lim
h→0
h
ƒ(x + h) − f(x)
h
=
Answer:
f(x +h) = 4x² +4h² +8xh +5x +5h +3
(f(x+h) -f(x))/h = 4h +8x +5
f'(x) = 8x +5
Step-by-step explanation:
For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.
F(x+h)Put (x+h) where h is in the function, and simplify:
f(x+h) = 4(x+h)² +5(x+h) +3
= 4(x² +2xh +h²) +5x +5h +3
f(x +h) = 4x² +4h² +8xh +5x +5h +3
Difference quotientThe difference quotient is ...
(f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h
= (4h² +8xh +5h)/h
(f(x+h) -f(x))/h = 4h +8x +5
LimitWhen h=0, the value of this is ...
f'(x) = 4·0 +8x +5
f'(x) = 8x +5
__
Additional comment
Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.
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How do you explain a math equation?
What is the exponent of 10?
(Thank you for helping!)
Answer:
exponent is 0
Step-by-step explanation:
What is the constant rate of change for (2, 8), (3, 12) and (6, 24)?
Answer:
(1 , 4)
:):):):):):):):):):):):):):
Before the search and collection of evidence, there must be _______.
A. Informed consent by the owner
B. A crime
C. A chain of custody
D. A search warrant
I’m stuck between D and B because law enforcement can conduct a search without a search warrant if there is consent by the owner. It is not C because that would be either during or after the collection of evidence.
Answer:
D) A search warrant
Step-by-step explanation:
A search warrant is required before the search and collection of evidence to ensure legal authorization and protection of individuals' rights against unreasonable searches and seizures.
Option B, "A crime", is incorrect because the presence of a crime is not a prerequisite for conducting a search and collection of evidence. There are various situations where searches and evidence collection may occur without a crime being involved, such as regulatory inspections, consented searches, or investigations into potential threats or risks.
By your logic when you say law enforcement can conduct a search without a search warrant if there is consent by the owner, that would mean option A would be right, but of course, it's not.
What can you predict regarding the probability of the coin landing heads up?
Answer:
the probability is ½
Step-by-step explanation:
think so
Gina wants to go to the water park with her friends. They have a total of www dollars to buy 555 tickets. Each ticket costs 151515 dollars. Select the equation that matches this situation. Choose 1 answer: Choose 1 answer: (Choice A) 5 = 15 \times w5=15×w5, equals, 15, times, w A 5 = 15 \times w5=15×w5, equals, 15, times, w (Choice B) w = 15 +5w=15+5w, equals, 15, plus, 5 B w = 15 +5w=15+5w, equals, 15, plus, 5 (Choice C) w = 5 \times 15w=5×15w, equals, 5, times, 15 C w = 5 \times 15w=5×15
The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.
Which equation correctly matches the given situation?It follows from the task content that the equation which correctly represents the Given situation is to be determined.
Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;
Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.
Consequently, answer choice C; w = 5 × 15 is correct.
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which polynomial function could be represented by the graph below?
Answer: B: \(f(x) = x^2 - 4x-5\)
Step-by-step explanation:
Lets write this first in vertex form:
We know the vertex of this function is at (2, -9)
this gives us h,k values. Since there is no stretch or compression, and no negative coefficient we can simply plug in:
f(x) = \((x-2)^2 - 9\)
Expanding this, we get answer B.
Two brothers, Mark and Brian, each inherit $39000 . Mark invests his inheritance in a savings account with an annual return of 2.1% , while Brian invests his inheritance in a CD paying 5.6% annually. How much more money than Mark does Brian have after 1 year?
Answer: 4.2
Step-by-step explanation: