To write the given expression in factored form using the greatest common factor and distributive property, we need to find the largest common factor of 9 and 6, which is 3. Then we can factor out 3 from both terms, giving us 3(3d+2e). Therefore, the equivalent expression in factored form is 3(3d+2e).
This expression is simplified and shows that 3 is a common factor of both terms. In 100 words, this process involves identifying the greatest common factor between the terms and then using the distributive property to factor it out. This simplifies the expression and allows for easier calculations in further operations.
It is important to always look for common factors and simplify expressions whenever possible.
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I need help!!!!! 4. Determine 3 possible solutions to the inequality below
Answer:
5,6,7
Step-by-step explanation:
the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4
6 miles is about how many km?
Answer: 6 miles is 9.656064km
In a simple frequency distribution, to determine _______________, we divide the observed range by the number of intervals.
Answer:
Interval width
Step-by-step explanation:
In normal statistics, we calculate range as difference between Maximum Value and Minimum Value of the data given.
However, in group simple frequency distribution, we have what we call interval width which is simply the range of values contained in each interval.
To determine this interval width, we we divide the observed range by the number of intervals chosen.
Please help me thanks!
Answer: See the screenshot below.
Explanation:
We'll be using these trig functions
sine = opposite/hypotenusecosine = adjacent/hypotenusetangent = opposite/adjacentThe inverse of those help us find the angle. Notation like arcsine is the same as inverse sine denoted as \(\sin^{-1}\) on many calculators.
The decimal results are approximate.
Renee bought a magazine subscription for a year. She paid $27. Renee wanted to find the price, p, of the subscription each month. She created the model shown to help find this price.
What is this answer?
Answer:
8
Step-by-step explanation:
Functions and Slope - 1 question (PHOTO INCLUDED)
Answer:
H
Step-by-step explanation:
Which sentence is a statement of the Multiplicative IdentityProperty? A. The sum of any realnumber and its opposite is zero. B. The product of any realnumber and its reciprocal is one. C. The sum of zero and any other realnumber is the number itself D. The product of one and any other realnumber is the number itself.
Answer:
D. The product of one and any other real number is the number itself.
Step-by-step explanation:
Multiplicative Identity Property can also be referred to as the identity property.
It states that when a number , a real number is multiplied by 1, the result is that same real number itself.
For example:
2 × 1 = 2
-5 × 1 = -5
Therefore, option D. The product of one and any other real number is the number itself. Is the correct option.
Which of the following describes the arrangement of network cabling between devices?
a. Logical topology
b. Networking technology
c. Physical topology
d. Media access method
Answer:
Physical means the actual wires. Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.
a. Logical
Step-by-step explanation:
...
The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).
What is the Physical topology?The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.
A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.
Therefore, the arrangement of network cabling between devices is a physical topology.
Hence, the correct answer would be an option (C).
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Pls help me just drop the answer below I need help fast
Answer:
i believe the answer is 0,2
The continuous random variable X has a probability density function (pdf) given by f(x) Şi- & for 0 < x < 2 lo otherwise Part(a) Find the median of X, correct to 2 decimal places. 0.59 Part(b) Find P(X >>). Give your answer as a decimal, correct to 2 decimal places. 0.56 Part(c) Two independent observations of X are taken. Find the probability correct to 2 decimal places that one is less than and the other is greater than 2. The order in which we take observations matters. 0.25 Part(d) Find Var(X), correct to 2 decimal places. 0.22 Part(e) Find E(X), correct to 2 decimal places. 0.75 Part(f) Find the value of q such that P(X
The median of X is 1; P(X > 2) = 0; P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0; Var(X) is approximately 0.33; E(X) is 1 and the value of q such that P(X < q) = 0.95 is 1.9.
(a) To find the median of X, we need to find the value of x for which the cumulative distribution function (CDF) equals 0.5.
Since the PDF is given as f(x) = 1/2 for 0 < x < 2 and 0 otherwise, the CDF is the integral of the PDF from 0 to x.
For 0 < x < 2, the CDF is:
F(x) = ∫(0 to x) f(t) dt = ∫(0 to x) 1/2 dt = (1/2) * (t) | (0 to x) = (1/2) * x
Setting (1/2) * x = 0.5 and solving for x:
(1/2) * x = 0.5; x = 1
Therefore, the median of X is 1.
(b) To find P(X > x), we need to calculate the integral of the PDF from x to infinity.
For x > 2, the PDF is 0, so P(X > x) = 0.
Therefore, P(X > 2) = 0.
(c) To find the probability that one observation is less than 2 and the other is greater than 2, we need to consider the possibilities of the first observation being less than 2 and the second observation being greater than 2, and vice versa.
P(one observation < 2 and the other > 2) = P(X < 2 and X > 2)
Since X follows a continuous uniform distribution from 0 to 2, the probability of X being exactly 2 is 0.
Therefore, P(one observation < 2 and the other > 2) = P(X < 2) * P(X > 2) = 0 * 0 = 0.
(d) The variance of X can be calculated using the formula:
Var(X) = E(X²) - [E(X)]²
To find E(X²), we need to calculate the integral of x² * f(x) from 0 to 2:
E(X²) = ∫(0 to 2) x² * (1/2) dx = (1/2) * (x³/3) | (0 to 2) = (1/2) * (8/3) = 4/3
To find E(X), we need to calculate the integral of x * f(x) from 0 to 2:
E(X) = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1
Now we can calculate the variance:
Var(X) = E(X²) - [E(X)]² = 4/3 - (1)² = 4/3 - 1 = 1/3 ≈ 0.33
Therefore, Var(X) is approximately 0.33.
(e) The expected value of X, E(X), is given by:
E(X) = ∫(0 to 2) x * f(x) dx = ∫(0 to 2) x * (1/2) dx = (1/2) * (x²/2) | (0 to 2) = (1/2) * 2 = 1
Therefore, E(X) is 1.
(f) The value of q such that P(X < q) = 0.95 can be found by solving the following equation:
∫(0 to q) f(x) dx = 0.95
Since the PDF is constant at 1/2 for 0 < x < 2, we have:
(1/2) * (x) | (0 to q) = 0.95
(1/2) * q = 0.95
q = 0.95 * 2 = 1.9
Therefore, the value of q such that P(X < q) = 0.95 is 1.9.
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Is this rational or irrational? If so why ?
Answer: 0.12 repeating is a Rational number
Step-by-step explanation:
Any number with a terminating or repeating decimal representation is a rational number <!>Brainiest Appreciated<!>
the qualified applicant pool for four management trainee positions consists of nine women and seven men. (a) how many different groups of applicants can be selected for the positions? (b) how many different groups of trainees would consist entirely of women? (c) probability extension: if the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of four are equally likely, what is the probability that the trainee class will consist entirely of women? (round your answer to four decimal places.)
There are 1820 different groups of applicants for 4 management trainee positions, 126 different groups of trainees consisting entirely of women, and a 0.0692 probability that the trainee class will consist entirely of women.
The number of different groups of applicants that can be selected for the four management trainee positions can be calculated using the combination formula:
nCr = n! / (r! * (n-r)!)
where n is the total number of applicants (16 in this case) and r is the number of positions to be filled (4 in this case).
So the number of different groups of applicants that can be selected is:
16C4 = 1820
Therefore, there are 1820 different groups of applicants that can be selected for the four management trainee positions.
The number of different groups of trainees that would consist entirely of women can be calculated using the combination formula again, but this time we are selecting all 4 positions from the 9 female applicants:
9C4 = 126
Therefore, there are 126 different groups of trainees that would consist entirely of women.
Assuming that all groups of four are equally likely to be selected, the probability that the trainee class will consist entirely of women can be calculated by dividing the number of different groups of trainees that consist entirely of women (126) by the total number of different groups of applicants (1820):
Probability = 126 / 1820 = 0.0692
So the probability that the trainee class will consist entirely of women is 0.0692 (rounded to four decimal places).
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Vicky and Harold each want to run for president of their school's student body council.
help needed with both. show work. a and b
a)
Soln,
Given,
Radius(r) = 8cm
Length/height(h) = 50cm
Then,
Volume of given prism = πr^2h
= 22/7×(8cm)^2×50cm
= 10057.14286cm^3
Therefore,The volume of the given prism is 10057.14286cm^3
b)
Soln,
Given,
Radius(r) = 8cm
Length/height(h) = 50cm
Then,
C.S.A. of the given prism = 2πrh
=2×22/7×8cm×50cm
=2514.285714cm^2
Therefore,C.S.A. of the given prism is 2514.285714cm^2
The tables show information about the scale ratios of two different maps. 2 tables. The first table is a 2-column table with 2 rows titled Map of the United States. Column 1 is labeled Centimeters with entries 3, 12. Column 2 is labeled Miles with entries 50, 200. The second table is a 2-column table with 2 rows titled Map of Africa. Column 1 is labeled Centimeters with entries 2, 15. Column 2 is labeled miles with entries 40, 300. The ratio of centimeters to miles on the map of the United States is . The ratio of centimeters to miles on the map of Africa is . The ratio of centimeters to miles on the map of the United States is the ratio of centimeters to miles on the map of Africa.
The answers are in order 3/50,1/20, greater than.
Answer:
1.b 2.a 3.b
Step-by-step explanation:
If a figure is a quadrilateral, then it has four sides.
A triangle does not have four sides.
A closed quadrilateral is a kind of polygon having 4 sides, 4 vertices, and 4 angles. A triangle doesn't have four sides because if it did, it wouldn't be a triangle. It would be a quadrilateral, the term used to describe geometric objects with four sides.
Three line segments combine to form a triangle, which is a straightforward closed curve or polygon. In Euclidean geometry, any three points, notably non-collinear ones, independently create a singular triangle and a singular plane.
In Euclidean geometry, any three points, notably non-collinear ones, independently create a singular triangle and a singular plane. polygon with 4 sides that is a quadrilateral.
One fascinating feature of a quadrilateral is that its opposite parallel sides are possible. Four non-collinear points are joined to create it. Since a triangle would not have four sides
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2x−yz , where x=34 , y=−0.2 , and z = 6. Evaluate.
A) 0.3
B) 1.95
C) 2.7
x = 34, y = -0.2 and z = 6. We need to find 2x - y z. To find 2x - y z, we substitute x = 34, y = -0.2 and z = 6.2x - y z = 2(34) - (-0.2)(6)= 68 + 1.2= 69.2Therefore, 2x - y z = 69.2. ANSWER: 69.2. We are given x = 34, y = -0.2 and z = 6.
The correct option is : D
Now, we have to evaluate 2x - y z using these values. So, we will substitute the values of x, y, and z in the given expression: 2x - y z = 2(34) - (-0.2)(6) = 68 + 1.2 = 69.2Therefore, the value of the given expression 2x - y z is 69.2.Therefore,69.2 is the correct answer. To find the value of 2x - y z, we must substitute the values of x, y, and z into the given expression.
We know that x = 34, y = -0.2, and z = 6. Therefore,2x - y z = 2(34) - (-0.2)(6)= 68 + 1.2= 69.2This implies that the value of the given expression 2x - y z is 69.2. Hence, we can see that adding two odd numbers does not always result in an odd number. It can sometimes result in an even number. The statement "If two odd numbers are added, then the sum is also an odd number" is a false statement. This can be proved by finding a counterexample that shows that the statement is not true. A counterexample is an example that proves a general statement to be wrong or false. In this case, we need to find two odd numbers whose sum is an even number.
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USE WORSKIN METHOD TO FIND THE GENERAL SOLUTION OF THE FOLLOWING SECOND ORDER LINEAR ORDINARY DIFFERNTIAL EQUATION? y²-10 y² + 25 Y ====2=²2
The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.
The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.
Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.
Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.
Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.
Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.
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If the scale from DEF to triangle D'E'F' is 5:1, how much larger is the perimeter of triangle D'E'F' than the perimeter of the triangle DEF?
The perimeter of triangle D'E'F' is 5 times larger than the perimeter of triangle DEF.
If the scale from DEF to D'E'F' is 5:1, it means that the corresponding sides of the two triangles have lengths in the ratio of 5:1.
Let's say that the perimeter of triangle DEF is P, and the perimeter of triangle D'E'F' is P'. Then we can write:
DE = 5D'E'
EF = 5E'F'
FD = 5 × F'D'
The perimeter of DEF is the sum of sides:
P = DE + EF + FD
Substitute the above values, we get:
P = 5D'E' + 5E'F' + 5F'D'
P = 5(D'E' + E'F' + F'D')
So the perimeter of triangle DEF is 5 times the perimeter of triangle D'E'F'.
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Crownfashions.com wants to estimate the average time that visitors to its website spend browsing the site. In a random sample of 49 visits this week, average browsing time is 13.6 minutes. Assume you know the population standard deviation is 5.2 minutes. Construct an 80% confidence interval estimate of average browsing time for the population of crownfashion.com visitors this week. Report the margin of error indicated by the interval.
The 80% confidence interval estimate for the average browsing time is approximately 12.648572 minutes to 14.548572 minutes.
To construct an 80% confidence interval estimate of the average browsing time for the population of crownfashion.com visitors this week, we can use the following formula:
Confidence Interval = \(\bar{X}\) ± Z \(\times\) (σ/√n)
Where:
\(\bar{X}\) is the sample mean (average browsing time) = 13.6 minutes,
Z is the Z-score corresponding to the desired confidence level (80% confidence level corresponds to a Z-score of 1.28),
σ is the population standard deviation = 5.2 minutes,
n is the sample size = 49.
Plugging in these values, we can calculate the confidence interval as follows:
Confidence Interval = 13.6 ± 1.28 \(\times\) (5.2/√49)
Simplifying the expression:
Confidence Interval = 13.6 ± 1.28 \(\times\) (5.2/7)
Confidence Interval = 13.6 ± 1.28 \(\times\) 0.742857
Confidence Interval = 13.6 ± 0.951428
The lower bound of the confidence interval is 13.6 - 0.951428 = 12.648572, and the upper bound is 13.6 + 0.951428 = 14.548572.
Therefore, the 80% confidence interval estimate for the average browsing time is approximately 12.648572 minutes to 14.548572 minutes.
The margin of error indicated by the interval is half of the width of the confidence interval, which is (14.548572 - 12.648572) / 2 = 0.95 minutes.
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Find the value of the smaller angle. (Hint find the value of x first)
The sum of both angles must be 180°, therefore:
(2x+24) + (4x+36) = 180°
6x + 60 = 180°
6x = 120°
x = 120/6 = 20°
Then, the smaller angle is 2*20 + 24 = 64
Find the slope on the line graphed below
Answer:y=-2x+6
Step-by-step explanation:
y=-2x+6
a study wants to determine the average tuition that san jose state undergraduate students would pay per semester. each student in the following samples is asked how much tuition he or she paid for the fall semester. what is the type of sampling in each case?
The type of sampling used in each case of the students to pay tuition fee for the fall semester is simple random sampling.
Simple random sampling is the method that was applied in this instance. Each person in the population has an equal probability of being chosen for the sample when using simple random sampling. In this instance, the amount of tuition each participant in the sample paid for the autumn semester was questioned.
The type of sampling in the next case is stratified sampling. After classifying the students into freshmen, sophomores, juniors, or seniors, 25 students from each group are chosen. The sample will be representative of each group thanks to this technique.
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Complete question is:
A study wants to determine the average tuition that san jose state undergraduate students would pay per semester. each student in the following samples is asked how much tuition he or she paid for the fall semester. what is the type of sampling in each case?
A sample of 100 undergraduate San Jose State students is taken by organizing the students’ names by classification (freshman, sophomore, junior, or senior), and then selecting 25 students from each.
This is the last giveaway for today!!
if you could be any movie character who would you be?
Answer:
I would be Channel #2 from scream queens
Step-by-step explanation:
Why just because she was the first one that came to mind :)
Answer:
Stitch from Lilo and Stitch ^^
Step-by-step explanation:
That movie always was a favorite of mine, also, so fluffy!
results from a study using the following sampling method(s) can be generalized to at least the population from which the sample was drawn... a. simple random sampling b. stratified random sampling c. availability/convenience sampling d. snowball sampling e. both a and b f. both c and d
Simple random sampling is a sampling method that can be generalized to at least the population from which the sample was drawn.
Using simple random sampling, each component of the population has an equal probability and likelihood of being chosen. This sampling strategy is also frequently referred to as a method of chance since the selection of items in this case completely rests on chance or luck.
Simple random sampling is a simple sampling technique that is readily integrated into more sophisticated sampling techniques. Every sample has the same chance of being picked, which is the key characteristic of this sampling technique.
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Tom and Joe are racing towards each other in a game of "chicken." Each boy is riding in a plastic canoe. They are at the local YMCA pool and are starting at a distance of 100 feet apart. Tom is able to paddle at a speed of 4 feet per second. Joe is able to paddle at a speed of 6 feet per second. How long will it take for the boys to meet?
Answer:
50 seconds
Step-by-step explanation:
We are told in the question that the distance between them = 100ft
Tom is able to paddle at a speed of 4 feet per second. Joe is able to paddle at a speed of 6 feet per second.
The formula for Distance = Speed × Time.
Hence, the Algebraic equation is given as:
6ft/s × t = 4ft/s × t + 100
6t = 4t + 100
6t - 4t = 100
2t = 100
t = 100/2
t = 50 seconds
It will take 50 seconds for the boys to meet.
Carol rolled a dice 150 times she rolled a six 29 times use carol's data to estimate the probability of rolling a six with this dice give your answer as a fraction
Answer:
29/150
Step-by-step explanation:
Probability is the number of times a certain value is obtained out of the total number of attempts.
If Carol got 6 29 times out of 150, then the probability of getting a 6 = 29/150.
This can be written as a percent or decimal too = 0.193 = 19.3%
Hope this helps.
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A home improvement store is analyzing the pricing of a line of lawnmowers. These are the cost and revenue
functions for a month of business, where x represents the selling price of a lawnmower:
R(X) = -2.075x2 + 768x
C(x) = -134.625x + 8,4037.5
Which selling prices result in a profit that is greater than or equal to zero?
Select all the correct answers.
120
135
285
300
335
Answer:
135
285
300
Step-by-step explanation:
The area of the triangle below is 29.04 square meters. What is the length of the base?
Therefore the base of the triangle is 8 centimeters.
How to find the base of the triangle?The area of the triangle is calculated by using the formula listed below,
Area of the triangle = \(\frac{1}{2} * base * height\)
From the given data area = 28.8 square centimeters
Height = 7.2 centimeters
Therefore to find the base,
\(28.8 = \frac{1}{2} * base * 7.2\)
base = \(\frac{28.8 * 2}{7.2}\)
base = 8 centimeters
Therefore the base of the triangle is 8 centimeters.
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Complete question:
The area of the triangle below is 28.8 square centimeters What is the length of the base? 7.2 cm