The expected activity time for the given statement is = 5.33
What time is the PERT network expected to be active?The average amount of time required for an activity when it is repeatedly performed is known as the expected time. The weighted average of the three estimated times, i.e., the optimistic time, the most probable time, and the pessimistic time, is used in project management analysis to determine the expected time of activity.
The PERT system:A network model called the Program Evaluation and Review Technique (PERT) allows for randomness in the timing of activity completion. PERT was created in the late 1950s again for a massively labor-intensive Polaris project for the US Navy. It might shorten a lot of time and cost needed to finish a project.
According to the given information:optimistic = 2
most likely = 5
pessimistic = 10.
We will use the following formula to calculate the anticipated time for each activity in order to solve this problem:
Expected Time = (Optimistic Time + (4 x Most likely) + Pessimistic Time) / 6
Putting the values into formula:
= (2 + (4 x 5) + 10)/ 6
= (2 + 20 + 10) / 6
= 5.33
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Prime Factorization
36=
48=
Answer:
36=3×2×2×3
48=2×2×2×2×3
Explanation:
Step 1: Divide the given number by the smallest prime number.
36/3=12. (1)
48/2=24. (2)
Step 2: Again, divide the quotient by the smallest prime number.
12/2=6. (1)
24/2=12. (2)
Step 3: Repeat the process, until the quotient becomes 1.
6/2= 3. (1)
12/2=6 (2)
3/3=1 (1)
6/2=3 (2)
3/3=1. (2)
Step 4: Finally, multiply all the prime factors.
36=3×2×2×3
48=2×2×2×2×3
Answer:
36 = 2 × 2× 3 ×3
48 = 2 × 2× 2 × 2 ×3
Step-by-step explanation:
Find the area of the parallelogram shown below
44
55
47
5/6 x 15 =
2/3 x 1/4=
4/9 x 3/8=
Answer:
1. 75/6 (improper fraction) = 12 3/6 (mixed number) = 12 1/2 (simplified)
2. 2/12 = 1/6 (simplified)
3. 12/72 = 1/6 (simplified)
Hope this helps :)
Answer:
[tex]\frac{5}{6} * 15 = 12\frac{1}{2}[/tex]
[tex]\frac{2}{3} * \frac{1}{4} = \frac{1}{6}[/tex]
[tex]\frac{4}{9} * \frac{3}{8} = \frac{1}{6}[/tex]
Step-by-step explanation:
[tex]\frac{5}{6} * 15 = \frac{5 * 15}{6} = \frac{75}{6}\\[/tex]
Reduce the fraction by diving both sides by the common factor.
[tex]\frac{75}{6} = \frac{75 / 3}{6/3} = \frac{25}{2}[/tex]
To convert the improper fraction to a mixed fraction, divide the numerator (25) by the denominator (2), put the whole part of the result in front and the remainder in place of the original numerator.
25 / 2 = 12 with remainder of 1
[tex]\frac{25}{2} = 12\frac{1}{2}[/tex]
[tex]\frac{2}{3} * \frac{1}{4} = \frac{2 * 1}{3 * 4} = \frac{2}{12} = \frac{2/2}{12/2} = \frac{1}{6}[/tex]
[tex]\frac{4}{9} * \frac{3}{8} = \frac{4 * 3}{9 * 8} = \frac{12}{72} = \frac{12 / 12}{72 / 12} = \frac{1}{6}[/tex]
Solve 2x+18=6y for x.
Answer:
x=3y−9Step-by-step explanation:
2x+18=6y
2x=6y−18
(2x)/2=(6y−18)/2
x=3y−9
Answer:
x = 3y−9Step-by-step explanation:
Add -18 to both sides:2x + 18+− 18=6y + −18
2x = 6y − 18
Divide both sides by 2:2x / 2= 6y −18 / 2
x = 3y −9
Natalie surveyed 800 of the students in her school about their favorite color. Students could choose between blue and red. 77% said their favorite color was red. How many students' favorite color was blue?
30 points
The total number of students whose favorite color was blue is 184 students.
Total number of students Natalie surveyed in her school = 800
Given the percentage of students who said their favorite color was red = 77%
Now to calculate 77% of the total students is
= 77% of 800
= 77/100 * 800
= 616
The number of students who said red was their favorite color was 616.
So, the number of students who stated that blue was their favorite color
= total students - red color favorite students
= 800 - 616
= 184
Therefore, There are a total of 184 students whose favorite color is blue.
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The midpoint of KL is (7,3). One endpoint is K (4,1), what is the coordinate for the
other endpoint L?
can someone help me with these
Answer:
for the triangle question the ans is 2
for the equation question where u have to find the mistake the student made, its the last option
Expand and simplify
(x + 1)(x + 2)(x + 3)
Need the answer please
Answer:
5
Step-by-step explanation:
This uses the Pythagorean theorem ([tex]f^2 + g^{2} =h^2[/tex]). So you would take your values 3 and 4 and plug them into the equation. [tex]3^2+4^2=h^2[/tex]. This becomes [tex]9+16=h^2[/tex]. Simplify and this becomes [tex]25=h^2[/tex]. If you take the square root of both sides you will end with 5 = h. Therefore your answer is 5.
Answer:
H=5
Step-by-step explanation:
Since it's a right triangle, you can use the Pythagorean Theorem which is [tex]a^2 + b^2 = c^2[/tex] or in this case: [tex]f^2 + g^2 = h^2[/tex]
Substitute 3 in for f and 4 in for g: [tex]3^2 + 4^2 = h^2[/tex]
Add 9 and 16 together, it's 25 and then find the square root of 25 and the square root of h and the answer is 5
[tex]f^2 + g^2=h^2\\3^2 + 4^2 = h^2\\9 + 16 = h^2\\25 = h^2\\\sqrt25 = \sqrt h^2\\5 = h[/tex]
GOOD LUCK! :)
FH bisects ZEFG. Find the indicated angle measures.
m/GFH=71 °. Find m/EFH and m/EFG.
m/EFH=
m/EFG=
O
O
The measure of angle EFH, m ∠EFH is 71°
The measure of angle EFG, m ∠EFG is 142°
Calculating angles
From the question, we are to determine the measure of angle EFH and angle EFG
From the given information, we have that
FH bisects ∠EFG.
Thus, we can write that
m ∠EFH = m ∠GFH
From the given information,
m ∠GFH = 71°
∴ m ∠EFH = 71°
Also,
Since FH bisects ∠EFG
Then,
m ∠EFH + m ∠GFH = m ∠EFG
71° + 71° = m ∠EFG
142° = m ∠EFG
m ∠EFG = 142°
Hence, the measure of angle EFH, m ∠EFH is 71°
The measure of angle EFG, m ∠EFG is 142°
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An artist plans to sell $300 of prints online each week. This month, she is within $22 of her goal.
Part A: Define a variable and write an absolute value equation to represent the scenario.
Part B: Solve the equation, showing all steps.
Part C: What are the minimum and maximum amounts that the artist received for her products?
Answer:
A) |x - 1200| = 22
B) x = 1222, x = 1178
C) Minimum = $1,178
Maximum = $1,222
Step-by-step explanation:
Part ADefine the variable:
Let x = revenue from prints sold this month.Given information:
The artist plans to sell $300 of prints each week.This month, she is within $22 of her goal.If the artist plans to sell $300 of prints each week, then she plans to sell approx $1200 of prints each month, since there are approximately 4 weeks in each month.
If she is within $22 of her goal, this month then:
⇒ |x - 1200| = 22
Part BTo solve an equation containing an absolute value, set the contents of the absolute value equal to both the positive and negative value of the number on the other side of the equation, then solve both equations:
Equation 1
⇒ x - 1200 = 22
⇒ x - 1200 + 1200 = 22 + 1200
⇒ x = 1222
Equation 2
⇒ x - 1200 = -22
⇒ x - 1200 + 1200 = -22 + 1200
⇒ x = 1178
Part CTherefore:
Minimum amount the artist received = $1,178Maximum amount the artist received = $1,222Must show your work. This should be fun for you.
A drawer contains 12 yellow
highlighters and 8 green highlighters. Determine
whether the events of selecting a yellow highlighter
and then a green highlighter with replacement are
independent or dependent. Then identify the
indicated probability.
It is a independent event. The probability is 6/25.
What is an independent event?An independent event is an event whose occurrence are random event. There is no relationship between picking a yellow highlighter and then a green highlighter.
What is the probability?
Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Probability of picking a yellow highlighter and then a green highlighter = (number of yellow highlighters / total number of highlighters) x = (number of green highlighters / total number of highlighters)
(12 / 20) x (8 /20) = 6/25
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order these following rational numbers from least to greatest:
3.4 -0.01 1/4 12% -26.1
Answer:
3.4, 1/4, 12%, -0.01, -26.1
Step-by-step explanation:
The simplest way to do these type of problems is to convert all of the numbers into either a fraction, decimal, or a percentage. In my opinion, it is easier to use a percentage here.
12% is already a percentage
-0.01 = -1%
1/4 = 25%
3.4 = 340%
-26.1 = -2610%
Now that the rational numbers are all in the same unit, it is easier to sort them. In the end, we get this list (from greatest to least):
3.4, 1/4, 12%, -0.01, -26.1
FINAL ANSWER: 3.4, 1/4, 12%, -0.01, -26.1
Use the data and create a formula for the function that approximates the ground roll for a fully loaded cessna 172 at an elevation of:_____
The formula for the function that approximates the ground roll for a fully Cessna 172 at an elevation of x is y = 585(1.00009)x .
What is angle of elevation ?
The angle from the horizontal upward to an item is referred to as the angle of elevation. The line of sight of an observer would be above the horizontal. The angle from the horizontal downward to an item is referred to as the "angle of depression." The line of sight of an observer would be below the horizontal.Let the formula for the exponential function that approximates the ground roll for a fully loaded Cessna 172 at an elevation of x be
y =A(B)x ....(1)
Here,
A = ground roll at x =0,
B = growth factor.
Since at x =0, , Ground roll is = A = 585 ft ....(2)
On putting A = 585 in equation (1), we get
y = 585(B)x ....(3)
Now, at elivation of x = 1000 ft ,
Ground roll y = 640 ft.
So, putting these values in equation (3), to get
640 = 585(B)1000
Reversing the sides to get
585(B)1000 = 640
Or B1000 = 640/585
Or B1000 = 1.09017094
Or B = (1.09017094)1/1000
Or B = 1.00009 .....(4)
On putting the value of B in equation (3), we get
y = 585(1.00009)x
Hence, the formula for the function that approximates the ground roll for a fully Cessna 172 at an elevation of x is y = 585(1.00009)x .
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Stella buys 5 pineapples for $4.50. How much would she pay if she bought 7 pineapples? (hint: find the unit rate first then multiply)
*
Answer:
Step-by-step explanation:
4.50 divides by 5 than times the answer by 7
What is the value of 5 x 3 + 4 y 3 when x=4 and y=3?
Answer:
96
Step-by-step explanation:
Twice a number minus 4 equals twelve. Find the #
answer:
8
explanation:
8 x 2 = 16
16 - 4 = 12
Answer:
8
explanation:
8 x 2 = 16
16 - 4 = 12
What type of variable is the number of customers in line at the bank in a 24 hour period? qualitative continuous attribute discrete
The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.
By discrete variable, what do you mean?A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.
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The maximum speed, in miles per
hour, of a cheetah is 18 more than 3 times
If the maximum speed of a cheetah is
the maximum speed of a hippopotamus.
75 miles per hour, which equation could be
used to find the maximum speed of a
hippopotamus h? (Lesson 1-2)
A. h= 3(75) + 18
B. 75=3h
C. 75 = 3h + 18
D. 18 + 75 = 3h
The equation could be used to find the maximum speed of a hippopotamus h is C. 75 = 3h + 18
The question has to do with linear equation
What is a linear equation?A linear equation is a mathematical expression in which the highest power of the unknown is 1.
How to find the equation for the maximum speed of the hippopotamusLet
x = speed of cheetah and h = speed of hippopotamusGiven that the maximum speed, in miles per hour, of a cheetah is 18 more than 3 times the maximum speed of the hippopotamus
Now, since the maximum speed of the hippopotamus is h, 3 times the maximum speed of the hippopotamus is 3h.
Since the cheetah is 18 more than 3 times the maximum speed of the hippopotamus, we have that
x = 3h + 18
Substituting x = 75 into the equation, we have
75 = 3h + 18
So, the equation could be used to find the maximum speed of a hippopotamus h is C. 75 = 3h + 18
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Solve the simultaneous equations
3y + 11 = 4x
10x + 2y + 1 = 0
In linear equation the solution set of the equations x = 1/2, y = -3.
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."Multiply both sides of the equation by a
coefficient - 2(4x - 3y ) = 11 × 2
3 ( 10x + 2y ) = ( - 1 ) × 3
apply multiplicative distribution law
8x - 6y = 11 × 2
3( 10x + 2y ) = (-1) × 3
calculate the first terms
8x - 6y = 22
3( 10x + 2y ) = ( -1) × 3
remove the parentheses
8x - 6y = 22
30x + 6y = -3
add up the two equation
8x - 6y + ( 30x + 6y ) = 22 + ( -3)
remove parentheses - 8x - 6y + 30x + 6y = 22 -3
cancel the unknown variables - 8x + 30x = 22 -3
combine like terms - 38x = 22 - 3
calculate the sum or difference - 38x = 19
reduce the greatest common factor on both
sides of equation - 2x = 1
divide both sides of the equation by the coefficient of variable - x = 1/2
substitute one unknown quantity into the elimination 8 * 1/2 - 6y = 22
reduce the expression to the lowest term 4-6y = 22
reduce the greatest common factor on both sides of the equation
2 - 3y = 11
Rearrange unknown terms to the left side of the equation - 2 - 3y = 11
calculate the sum or difference -3y = 9
reduce the greatest common factor on both sides of the equation -y = 3
divide both sides of the equation by the coefficient of variable y = -3
the solution set of the equations
x = 1/2
y = -3
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49^((1)/(2))- 25^((3)/(2))
Answer: -118
Step-by-step explanation:
49^((1)/(2))- 25^((3)/(2))=
49^(1/2) -25^(3/2)=
7-25^((2+1)/2)=
7-25^((2/2)+(1/2))=
7-25^(1+1/2)=
7-25^(1) *25^(1/2)=
7-(25*5)=
7-125=-118
What does it mean when a data set or distribution has more variability than another
Answer: Standard deviation
Step-by-step explanation: The standard deviation is the average amount of variability in your dataset. It tells you, on average, how far each score lies from the mean. The larger the standard deviation, the more variable the data set is.
Angie and Kenny play online video games. Angie buys 2 software package and 2 months of gameplay. Kenny buys 1 software package and 3 month of game play. Each software package cost $20. If their total cost is $160, what is the total cost of one month of gameplay?
The area A of a rectangle with dimensions 4x and 5 is described with the inequality 100 ≤ A ≤ 1,000.
Select the compound inequality for the area written in terms of x.
OA. 100 ≤ 10+ 8x ≤ 1,000
OB. 100 ≤ 18x ≤ 1,000
O C. 100 ≤ 9x ≤ 1,000
OD 100 ≤ 20x ≤ 1,000
The compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000.
We know that, the area of rectangle is given by:
Area = Length × Breadth
Now, we will substitute the values of length as 4x and breadth as 5 in the formula:
= 4x × 5
= 20x
Now. we will substitute this value in the inequality 100 ≤ A ≤ 1,000 to get the compound inequality:
100 ≤ 20 x ≤ 1,000.
Therefore, the compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000.
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Write 7 1/2 as a decimal number.
Answer:
First, We convert it to an improper fraction
which in this case, is 15/2
Found by Multiplying the whole number (7) with the denominator (2) and adding it with the numerator (1)
After that Use the same denominator to get 15/2
and then we divide the new numerator (15) by the denominator (2_ to get our answer.
which is, 7.5.
All Done!
Answer:
7.5
Step-by-step explanation:
Turn into an improper fraction.
2/2 + 2/2 + 2/2 + 2/2 + 2/2 + 2/2 + 2/2 + 1/2 = 15/2
Divide 15 by two.
7.5
The water level in Colorado river is 2.55 m below average. a large rainfall caused The water level to rise 0.8 m. what is the water level after the rainfall?
The water level after the rainfall is 3.05m
How to calculate the measurement of the water level after the rainfall ?
The water level in colorado river is 2.55m below average
A larger rainfall happened and the water level rose by 0.8m
Therefore the water level after the rainfall can be calculated by adding the previous water level which is 2.55 by the new increase which is 0.8
= 2.55 + 0.8
= 3.05
Hence the water level after the rainfall is 3.05 m
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The sum of 4 consecutive odd integers is -24. What are they?
Step-by-step explanation:
4 consecutive odd integers means we start with x, then have x+2, x+4 and then x+6.
and then we have
-24 = x + x+2 + x+4 + x+6 = 4x + 12
4x = -36
x = -9
x+2 = -7
x+4 = -5
x+6 = -3
so, in sequence from small to large these 4 numbers are
-9, -7, -5, -3
Please Help me ASAP 100 points for correct answer
Answer:
C
Step-by-step explanation:
first person 2 answer will give u brainliest need to submit by 2 nite :)
Two angles are Complementary, if the measure of one of the angles is 66.7 degrees what is the measure of the other angle? Answer to the first decimal place, IE 79.5.
Answer:
probly 79.5
Step-by-step explanation:
i d k
Given (2x + 3) (3x − 2) = 0
What are the values of x in 10th decimal places?
X=
X=
please answer fast