Answer:
A B and C
Step-by-step explanation:
A has a coordinate of 3.75 because 2.5 × 1.5 = 3.75 and 3.75 is greater then -3
B has a coordinate of 7 because -3.5 × -2 = 7 and 7 is greater then -3
C has a coordinate of 0 because 0 x 0 = 0 and 0 is greater then -3
D has a coordinate of -6 because -1.5 x 4 = -6 and -6 is less then -3
Hopes this helps
f(x)=3x+ 1
g(x)=x² -5x -2
Find g(f(x))
Answer:
9x²-9x-6
Step-by-step explanation:
f(x)=3x+ 1
g(x)=x² -5x -2
g(f(x))=g(3x+1) ∵f(x)=3x+1
=(3x+1)²-5(3x+1)-2
=9x²+1+6x-15x-5-2 ∵(a+b)²=a²+b²+2ab
=9x²-9x-6 or 3(3x²-3x-2)
expression represents the product of b and 34?
Answer:
b*34
Step-by-step explanation:
an expression does not include an equal sign but an equation does
To compare the average amount of time that Canadians and Americans spend commuting, a researcher collects a sample of 50 Canadians and 60 Americans. The Canadians spend an average of 4.6 hours a week commuting, with a standard deviation 2.9 hours. The mean and standard deviation for the sample of Americans is 5.2 hours and 1.3 hours, respectively. The standard error of the difference of sample means is:
Using it's formula, it is found that the standard error of the difference of sample means is of 0.443.
The standard error for each sample is given by the sample standard deviation divided by the square root of the sample size, hence:
\(s_C = \frac{2.9}{\sqrt{50}} = 0.41\)
\(s_A = \frac{1.3}{\sqrt{60}} = 0.168\)
For the distribution of the difference of sample means, the standard error is the square root of the sum of the standard error of each sample squared, hence:
\(s = \sqrt{s_C^2 + s_A^2} = \sqrt{0.41^2 + 0.168^2} = 0.443\)
The standard error of the difference of sample means is of 0.443.
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The new Fore and Aft Marina is to be located on the Ohio River near Madison, Indiana. Assume that Fore and Aft decides to build a docking facility where one boat at a time can stop for gas and servicing. Assume that arrivals follow a Poisson probability distribution, with an arrival rate of 8 boats per hour, and that service times follow an exponential probability distribution, with a service rate of 10 boats per hour. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously.
A. What is the probability that the boat dock will be idle? Round your answer to four decimal places.
P0=
B. What is the average number of boats that will be waiting for service? Round your answer to four decimal places.
Lq=
C. What is the average time a boat will spend waiting for service? Round your answer to four decimal places.
Wq=
D. What is the average time a boat will spend at the dock? Round your answer to four decimal places.
W=
E. If you were the manager of Fore and Aft Marina, would you be satisfied with the service level your system will be providing? Round your answers to whole numbers.
Because the average wait time is ____ seconds. Each channel is idle ____ % of the time.
Answer:
A.) 0.2
B.) 3.2
C.) 0.4
D.) 0.5
Step-by-step explanation:
Arrival rate, λ = 8 per hour
Service rate, μ = 10 boats per hour
1.)
Probability that boat dock will be idle, P0:
P0 = 1 - λ/μ
P0 = 1 - 8/10
P0 = 1 - 0.8
P0 = 0.2
Average number of boats waiting for service :
Lq = λ² ÷ μ(μ - λ)
Lq = 8² ÷ 10(10- 8)
Lq = 64 ÷ 10(2)
Lq = 64 ÷ 20
Lq = 3.2
Average time spent waiting for service, Wq :
Wq = λ ÷ μ(μ - λ)
Wq = 8 ÷ 10(10- 8)
Wq = 8 ÷ 10(2)
Wq = 8 / 20
Wq = 0.4 hour
Wq = 0.4 * 60 = 24 minutes
Average time spent at the dock :
1 ÷ (μ - λ)
1 ÷ (10 - 8)
1 ÷ 2
= 0.5 hour
= 0.5 * 60 = 30 minutes
Please help I’ll mark you as brainliest if correct!!
Time can be used to quantify, contrast, or even rank the length of events or the gaps between them. To complete the cooking at 2:00 PM, George needs to start his cooking at 12:30 PM.
What is meant by Time?Time can be defined in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be calculated, compared, or even ordered utilizing time.
Given time needed for each meals are;
Turkey = 70 min
Pumpkin pie = 17 min
Rolls = 30 sec
coffee = 45 sec
Total time = 87 min 75 sec
= 1 hour 27min 75 sec
So in order to complete the cooking at 2:00 PM, George needs to start his cooking at 12:30 PM.
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three-quarters of a pile of bricks were used for a certain project. when two thirds of the reminder had been used, 50 bricks were left. how many bricks were there in the original pile?
Answer:
sorry I don't know the answer
please help need to finish
The answer d because it is the only option that describes a circle with a center at (-7, 2) and a radius of 10. d (x − 7)² + (y + 2)² = 10
What is standard form?The standard form of a circle equation is (x - h)² + (y - k)² = r², where (h, k) represents the coordinates of the center of the circle and r is the radius.
From this equation we can see that the x-coordinate of the center is equal to h and the y-coordinate is equal to k.
In answer d, the x-coordinate of the center is -7, and the y-coordinate is +2. This means that the center of the circle is located at (-7, 2).
The radius of the circle is given by the value of r, which is equal to 10.
Therefore, answer d is the correct answer because it is the only option that describes a circle with a center at (-7, 2) and a radius of 10.
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The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours?
The correct statement is that for each hour, the earnings go up by $7. Option A
What is straight line graph?If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.
We can find the slope of the graph to know as said above;
m = y2 - y1/x2 - x1
m = 14 - 0/2 - 0
m = 7
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Can someone please provide a step-by-step explanation for the answer?
If the universe of discourse is the real numbers, give the truth value of each of the
following propositions:
(a) ∀x∃y(x = y²)
(b) ∀x∃y(x² = y)
(c) ∃x∀y(xy = 0)
(d) ∀x∃y(x + y = 1)
The Propositions are resulting
(a) ∀x∃y(x = y²) is False
(b) ∀x∃y(x² = y) is True.
(c) ∃x∀y(xy = 0) is True.
(d) ∀x∃y(x + y = 1) is True.
(a) ∀x∃y(x = y²)
This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².
Therefore, the proposition (a) is false.
(b) ∀x∃y(x² = y)
For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.
Therefore, the proposition (b) is true.
(c) ∃x∀y(xy = 0)
The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.
Therefore, the proposition (c) is true.
(d) ∀x∃y(x + y = 1)
To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.
Therefore, the proposition (d) is true.
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A company earns $150 a week for 9 weeks. It then has a loss of 565 a week for 25 weeks. At the end of the 34 weeks what is the company's
balance?
Answer:
54
Step-by-step explanation:
multiply 9 and 7 which is 63. then multiply 63 by 150 which is 9,450. then multiply 25 and 7 which is 175. then divide 175 and 9,450. and the answer is 54. Yw!!
We need to write and solve an algebraic equation to find the final company's balance.
The answer is: The final balance is -$275.
Let's see how to get that.
First, we know that the company earns $150 per week for 9 weeks, then the total amount of money that the company earns in these 9 weeks is:
$150*9 = $1,350
Then the company losses $65 per week for 25 weeks, then the amount that the company losses is:
$65*25 = $1,625
The final balance will be the difference between what the company earned and what the company lost, then the final balance is:
balance = $1,350 - $1,625 = -$275
This means that the company's final balance is -$275.
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WILL GIVE BRAINLIST IF CORRECT!!
The diameter of a red blood cell is about 0.0008 cm. The diameter of a whooping cough virus is about 2.5 x 10-5 cm. What is the approximate ratio of the diameter of the red blood cell to the diameter of the whooping cough virus? LOOK AT PICTURE
A.) 3.2 × 10^1
B.) 3.1 × 10^-3
C.) 3.1 x 10^-2
D.) 3.2 × 10^2
Answer:
b
Step-by-step explanation:
as 2.5 × 10-^5 is 250000 and b is 3100 and if you do 10-5 + 10-3 it is 10-8 which will give u 0.0008cm I think if my calculations r correct
Answer:
a
Step-by-step explanation:
just did it and got right
A graph the shows y= -3/2x - 2
The graph of the given equation is given at end.
A graph is a graphic depiction or diagram that displays data in an organized manner. The points on a graph are typically used to depict the relationships between two or more things.
Determine the slope and y-intercept first, then put the equation in y-intercept (y=mx+b) form to get the equation of a graphed line. The y-to-x change ratio is known as the slope. The two locations you locate on the line should be connected by a sloping triangle.
Common graph types include line graphs, bar graphs, pie charts, scatter plots, and histograms. Graphs are an excellent tool for visualizing data and presenting statistics. An example of displaying numerical data is with a bar graph or chart.
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From the definition of absolute value
3|x| = when x≥0
and
3|x| = when x<0.
Answer:
To answer your question use the code ICE on here to get your answer works every time for me hope this helps
A small town employes 34 salaried, nonunion employees. Each employee receives an annual salary increase of between $500 and $2,000 based on a performance review by the mayor's staff. Some employees are members of the mayor's political party, and the rest are not.Students at a local high school form two lists, A and B, one for the raises granted to employees who are in the mayor's party, and the other for raises granted to employees who are not. They wanted to display a graph(s) of the salary increases in the student newspaper that readers can use to judge whether the 2 groups of employees have been treated in a reasonably equitable manner.Which of the following displays is least likely to be useful to readers for this purpose?A. back to back stemplots of A and BB. scatterplot of B versus AC. parallel boxplots of A and BD. histograms of A and B that are drawn to the same scaleE. dotplots of A and B that are drawn to the same scale
The display that is least likely to be useful to readers for the purpose of comparing salary increases between employees who are in the mayor's party and those who are not is option C, parallel boxplots.
Parallel boxplots show the distribution of data separately for two or more groups, but they do not allow for direct comparison between the groups. To compare the salary increases between the two groups, it would be more useful to use a display that allows for direct comparison, such as a back-to-back stemplot (option A), scatterplot (option B), histogram (option D), or dotplot (option E) drawn to the same scale.
Salary is a form of payment for work that is typically paid on a regular basis, such as weekly, biweekly, or monthly. Salaries are usually paid in the form of money and are typically based on the number of hours worked, the level of responsibility of the job, and the level of skill or experience required to perform the job.
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Find the derivative of the trigonometric function.
\(y(x) = cos\sqrt{sin(cot\pi x)}\)
Answer: see photo below (used chain rule)
PLS HELP ME ASAP IM SO CONFUSED?
Basically, Least Common Multiple(LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers. GCF/HCF ( Greatest/Highest Common Factor) is the highest number that divides exactly into two or more numbers.
Answers:
9) LCM of 36, 3, 12 = 36
GCF of 36, 3, 12 = 3
10) LCM of 6, 54, 12 = 108
GCF of 6, 54, 12 = 6
11) LCM of 16, 8, 12 = 48
GCF of 16, 8, 12 = 4
Explain, How hypothesis test is perform using statistics procedure?
Answer:
There is 5 main steps.
Step-by-step explanation:
Each Null Hypothesis is stated.
Define the Alternate Assumption.
Set degree of importance
Determine the statistics for the evaluation and the accompanying P-value.
A Hypothesis and summary drawing.
I need help, I’m not sure which one is the answer
Given the triangles are similar, the pair of corresponding sides are proportional.
Then,
\(\frac{AB}{ED}=\frac{BC}{EF}\)Knowing that:
AB = 30
ED = 5
BC = 42
EF = x
Substituting the values:
\(\begin{gathered} \frac{30}{5}=\frac{42}{x} \\ 6=\frac{42}{x} \end{gathered}\)Multiplying both sides by x and then dividing the sides by 6.
\(\begin{gathered} 6*x=\frac{42}{x}*x \\ 6x=42 \\ \frac{6x}{6}=\frac{42}{6} \\ x=7 \end{gathered}\)Answer: x = 7.
ILL GIVE BRAINLESTTTTTT
Answer:
Step-by-step explanation:
5/3 *2=10/6
10/6-6/6=4/6
In how many ways can a group of 5 volunteers be selected from 6 girls and 10 boys?
The question is an illustration of combination.
There are 5005 ways the volunteers can be selected
How to determine the total number of selections
The given parameters are:
Boys = 10Girls = 5Volunteers = 5Since there is no restriction, as to who can be selected;
The total number of selection is calculated using the following combination formula
\(^nC_r = \frac{n!}{(n -r)!r!}\)
Where:
\(n = 5 + 10=15\)
\(r = 6\)
So, we have
\(^{15}C_6 = \frac{15!}{9!6!}\)
This gives
\(^{15}C_6 = 5005\)
Hence, there are 5005 ways the volunteers can be selected
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Solve for n: 0.22n = 6.6.
Answer:
30
Step-by-step explanation:
Solve for n: 0.22n = 6.6.
6.6/0.22 (because for example 3/3 and n/n= 1 so 0.22/0.22 = 1 so we have to divide 6.6 since it is part of the equation and we have to do it on both sides.)=30
find the equation of the line that passes through (1,-1) and (-2,8) in point slope form
Answer:
y = -3x + 2
Step-by-step explanation:
y2 - y1 / x2 - x1
8 - (-1) / -2 - 1
9/-3
= -3
y = -3x + b
-1 = -3(1) + b
-1 = -3 + b
2 = b
A bag of the same size small balls contains 6 blue balls, 5 red balls, 5 yellow balls, and 4 green balls. What is the probability of selecting a blue or green ball on the first draw?
Answer:
1/2
Blue balls = 6
Red balls = 5
Yellow balls = 5
Green balls = 4
6+5+5+4=20 | 10/20 = 1/2 or 0.5
the sum of 8.23, 7.96 and 17.65
Answer:
इएइहेइएबे!!न्बेओएहेजेने
1=1/5(x-25) solve for x simplest form
Answer:
30
Step-by-step explanation:
type the inequality from its graph
Answer:
x>_-1
Step-by-step explanation:
x is such that x is greater or equal to -1
The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of radioactive radium will remain after 275 years?
Answer:
88.76%
Step-by-step explanation:
Given that :
Half life of radium = 1599 years
Percentage that will remain after 275 years
Using the relation :
y = Ae^kt
Where ; A = mass of radium and t = half life = 1599, A = initial mass
By 1599, the mass of radium will be half its initial
Hence,
y = initial / 2 = A /2
A/2 = Ae^kt
To obtain the value of k
0.5 = e^1599k
In0.5 = 1599k
k = (In0.5)/1599
k = - 0.0004335
Hence,
y = Ae^-0.0004335t
Amount of radium. After 275 years : t = 275
y = Ae^-0.0004335*275
y = A0.8876191
y = 0.8876191 of intial amount
Hence, 0.8876191 * 100%
= 88.76%
The ratio of the number of boys, b, to the number of girls, g, in the class with S students is 3 to 5. The total number of students in the class can be calculated using the expression S=b+g. Part A: Write an expression which represents the number of students in the class, S, in terms of the number of girls, g. Part B: What percent of students in the class are girls?
"Match the expression and its value to the value of x that gives the expression its value by filling in the box in the correct column.
Evaluate the expression 4 n-5 r for n=-2 and r=3
(A) 23
(C) 7
(B) -7
(D) -23
The surface area for a rectangular prism with a square base is given the expression 2 s²+4 s h, where s is the side length of the square h is the height of the prism. What is the surface area in square feet rectangular prism when s=4 feet and h=6feet?"
Value of the expression 4n - 5r when n = -2 and r = 3 is -23.
The surface area in square feet rectangular prism when s=4 feet and h=6feet is 128 square feet.
What do you mean by algebraic expression?
The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
Given expression:
4n - 5r
When n = -2 and r = 3
The value of the expression become,
4(-2) - 5(3)
= -8 - 15
= -23
Hence, option D is correct.
Now, it is given that the surface area for a rectangular prism with a square base is given by the expression 2s²+4sh, where s is the side length of the square h is the height of the prism.
The surface area in square feet rectangular prism when s=4 feet and h=6feet is
2\((4)^{2}\) + 4(4)(6)
= 2(16) + 96
= 32 + 96
= 128 square feet
therefore, the surface area in square feet rectangular prism when s=4 feet and h=6feet is 128 square feet.
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PLEASE HELP!!!
My teacher says this is wrong but I don’t see anything wrong with it. It asking for me to write it in scientific notation which is what I did, I moved the decimal to a number 1-10, then I counted how many times I moved it and that’s what I got for my exponent, can someone please explain why this is wrong?
Answer:
The answer is 4.9*10^-3 because you are making the number bigger not smaller
Step-by-step explanation: