Answer:
solving a system of equations using graphing is not a useful solution technique because you are plotting on a 2D surface. For example, if you graph the system below, you get the following graph. ... While you can approximate the solution to this system, you cannot say exactly where the intersection point is since it does not fall on integer values on the number lines.
Suppose you are a chemist who is trying to synthesize a specific compound. You have been working with a new technique and you think that this process can turn 60% of the input compounds into the desired synthesized compound, and want to attempt the process enough times to get an estimate that is within .04 of the true proportion that is converted. How many times should you execute the process to get the desired precision
Answer:
The sample size 'n' = 576
576 times should you execute the process to get the desired precision
Step-by-step explanation:
Explanation :-
Step(i)
Given data the process can turn 60% of the input compounds into the desired synthesized compound.
Sample proportion ' p' = 60% = 0.60
Given data the estimate within 0.04 of the true proportion that is converted
The margin of error of the true population proportion
M.E = 0.04
Step(ii)
The margin of error of the true population proportion is determined by
\(M.E = \frac{ Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }\)
\(0.04 = \frac{ 1.96 \sqrt{0.60(1-0.60)} }{\sqrt{n} }\)
\(\sqrt{n} = \frac{ 1.96 \sqrt{0.60(1-0.60)} }{0.04 }\)
on calculation, we get
\(\sqrt{n} = 24\)
squaring on both sides ,we get
n = 576
Final answer:-
The sample size 'n' = 576
576 times should you execute the process to get the desired precision
3. (03.01 LC) The domain of the following relation: R: {(-4, 8), (8, 10), (5, 4), (1, 6), (5, -9)} is (1 point) {8, 10, 4, 6, -9) {-4, 1, 5, 8) O {-4, 8, 5, 1, 5} No domain exists
Answer:
{-4, 1, 5, 8}
Step-by-step explanation:
The domain of a relation are all of the inputs (or x-values) of it.
Identify the x-values shown.
{(-4, 8), (8, 10), (5, 4), (1, 6), (5, -9)}
{-4, 1, 5, 8} is the domain of the relation.
Hope this helps.
The mean hourly salary for a high school graduate is $13.50 per hour with a standard
deviation of $5.75. The mean hourly sdiary for a person with an Associate's degree is
$19.75 with a standard deviation of $9.25. What is the standard deviation of the
difference in the hourly salaries between a high school graduate and a person who
earned an Associate's degree?
The standard deviation of the difference in the hourly salaries between a high school graduate and a person who earned an Associate's degree is approximately $10.89.
To find the standard deviation of the difference in hourly salaries between a high school graduate and a person with an Associate's degree, you need to use the formula for the standard deviation of the difference between two independent variables:
σ_diff = √(σ₁² + σ₂²)
Here, σ_diff represents the standard deviation of the difference, σ₁ represents the standard deviation of the high school graduate's salary ($5.75), and σ₂ represents the standard deviation of the Associate's degree holder's salary ($9.25).
Using the formula:
σ_diff = √(($5.75)² + ($9.25)²)
σ_diff = √(33.0625 + 85.5625)
σ_diff = √(118.625)
σ_diff ≈ 10.89
So, the standard deviation of the difference is approximately $10.89.
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ANALYSIS
Graphs and tables not only represent data, but they also allow you to answer questions about the data. Use your tables and graphs on the resource pages from problem 1-13 to answer the questions below.
Which data appears to be linear? That is, when graphed, which data can be modeled best using a line? Explain why it makes sense for this situation to have a linear graph.
Now that Perry knows his options for the design of his hot tub, he wants to pick the hot tub that has the smallest perimeter (without cutting any tiles). What do you recommend?
The town of Parsnipville will have a flu vaccine available on Day 7. Only people who have not yet gotten the flu will need to be vaccinated. Since the town has
citizens, how many people will need the vaccine on that day? Is it easier to answer this question using your graph or using your table? Explain.
Certain legal documents, such as those used when buying property, sometimes require up to
signatures! How long do you think it might take to sign all the documents?
Considering each situation (lab), which of your graphs could have a point where
? Explain.
Assume that Perry’s hot tub tiles measure one foot on a side. If Perry could cut his tiles, what is the longest hot tub he could possibly build?
The data that appears to have a consistent rate of change over time or with respect to another variable often appears to be linear.
When data is graphed, which data can be modeled best using a line?The data that has a clear trend or pattern that can be represented by a straight line is best modeled using a line.
Why does it makes sense to have a linear graph?Linear graphs are useful because they allow us to easily visualize and analyze trends or patterns in data. The equation of a line can also be used to make predictions or forecasts based on the data. Linear graphs can be used to identify correlations between variables and to assess the strength and direction of those correlations.
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Some of the two digit page numbers of an English book are 23, 45, 67, 54, 65,
43, 89, 34, 75, 16, and 94. Find the range of the given data.
Answer:
range = 78
Step-by-step explanation:
range is the difference between the highest and the lowest value in a set of number.
highest value = 94
lowest value = 16
highest value - lowest value
= 94 - 16
= 78
4. A desk is 1 ½ feet wide and 5 feet long. It is
2½ feet above the floor. What is the volume
of space under the desk?
Answer:
gg
Step-by-step explanation:
Describe how p(x)=-f(x)-3 transforms the graph of the parent function f(x)=x^2
.
The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down
Describing the transformation of f(x) to p(x).From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
In the function equations, we can see that
f(x) = x²
p(x) = -f(x) - 3
So, we have
Vertical Difference = 0 - 3
Evaluate
Vertical Difference = - 3
This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).
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A conical container can hold 120 pie cubic centimeters of water the diameter of the base of the container is 12 centimeters the height of the containers centimeters. If the diameter and height were both doubled the containers capacity would be times its original capacity
May anyone help me pls
Step-by-step explanation:
b is the smallest and then a , d, c, e
Find the indicated measure
Answer:
Step-by-step explanation:
we know both triangles HGI and JGI are congruent because of SAS theorem.
4x+5=2x+11
solve for x
-2x -2x
2x+5=11
-5 -5
2x = 6
/2 /2
x=3
Choose one to find the measure of:
2x+11
2(3)+11
6+11
17
Find the slope of each line.
Where is the central tendency located in a skewed left distribution?
to the left of the tallest bar
to the right of the smallest bar
to the left of the smallest bar
in the center of the graph
to the right of the tallest bar
The Central tendency is typically located to the right of the tallest bar.
In a skewed left distribution, the central tendency is typically located to the right of the tallest bar. Skewed left distributions, also known as negatively skewed distributions, are characterized by a tail that extends towards the left side of the distribution.
The central tendency refers to the measure that represents the center or average of a distribution. It provides information about the typical or central value around which the data points tend to cluster. Common measures of central tendency include the mean, median, and mode.
In a skewed left distribution, the mean is usually influenced by the long tail on the left side of the distribution. This tail pulls the mean towards lower values, resulting in a lower mean compared to the median. Therefore, the mean will typically be located to the left of the tallest bar in a skewed left distribution.
On the other hand, the median is less affected by the skewness of the distribution and is relatively robust to extreme values. It represents the value that separates the lower 50% of the data from the upper 50%. In a skewed left distribution, the median will be located closer to the tallest bar or even slightly to the right of it.
The mode, which represents the most frequently occurring value in a distribution, may or may not be influenced by the skewness depending on the shape of the distribution. It can be located anywhere along the distribution, and its position is not necessarily tied to the location of the tallest bar.
To summarize, in a skewed left distribution, the central tendency is typically located to the right of the tallest bar. The median is usually closer to the tallest bar or slightly to the right, while the mean is influenced by the skewness and tends to be located to the left of the tallest bar.
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Given the following coordinates complete the glide reflection transformation.
Answer:
\(A" = (7,-2)\)
\(B" = (10,0)\)
\(C"= (12,-3)\)
Step-by-step explanation:
Given
\(A = (4,2)\)
\(B = (7,0)\)
\(C =(9,3)\)
a: Reflect over x-axis
The rule of this is:
\((x,y) \to (x,-y)\)
So, we have:
\(A' = (4,-2)\)
\(B' = (7,0)\)
\(C' = (9,-3)\)
b: Shift 3 units left
The rule of this is:
\((x,y) \to (x+3,y)\)
So, we have:
\(A" = (4+3,-2)\)
\(A" = (7,-2)\)
\(B" = (7+3,0)\)
\(B" = (10,0)\)
\(C"= (9+3,-3)\)
\(C"= (12,-3)\)
Which of these best explains the next step to simplify this expression?
Answer:
Make the -4 exponent in the denominator positive.
Write an equation of the line that passes through (-1,3) and is parallel to the line y=-3x+2
Slope-intercept form: \(y=mx+b\)
m = slopeb = y-interceptParallel lines always have the same slopes and different y-intercepts.
Solving the QuestionWe're given:
Parallel to \(y=-3x+2\)Passes through (-1,3)Because parallel lines have the same slopes, this line therefore has a slope of -3.
\(y=-3x+b\)
Now, plug in the given point to solve for b:
\(3=-3(-1)+b\\3=3+b\\b=0\)
Therefore:
\(y=-3x\)
Answer\(y=-3x\)
Brian is ordering t-shirts for the chess team. The team's budget for clothing is at most $60. Each t shirts cost $12. Brian wants to know the number of t shirts he can order
Answer:
5
Step-by-step explanation:
Answer:
The answer is 5.
Step-by-step explanation:
12x5=60 or 60÷5=12, both answers work.
If the following data were transformed and points with the coordinates
(x, log(y)) were plotted, what points would be plotted? Round log(y) to three
decimal places.
X
1
2
3
y
12
83
580
If the data were transformed and points with the coordinates
(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.
To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.
Let's calculate the logarithms for the given data:
x y log(y)
1 12 log(12) = 1.079
2 83 log(83) = 1.919
3 580 log(580) = 2.763
Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)
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In a class 15 students like Maths. 20 students like English and 10 students like science. 5 students like all three subjects. If there are 50 students in the class, how many students like none of the three subjects?
Answer:
Everyone likes a subject so 0 students like none.
15+10+20+5=50
The length of the base of an isosceles triangle is x. The length of a leg is 2x-6. The perimeter of the triangle is 23 . Find x.
Answer:
In an isosceles triangle, the legs of the triangle have same lengths.
\({ \tt{perimeter = side + side + side}}\)
• substitute:
\({ \tt{23 = x + 2(2x - 6)}} \\ \\ { \tt{23 = x + 4x - 12}} \\ \\ { \tt{5x = 35}} \\ \\ { \boxed{ \tt{ \: \: x = 7 \: \: }}}\)
Help meeeeeeeee
Pleaseeee
Answer:
give them all a common denominator
1/3= 2/6
5/6= 5/6
1/2= 3/6
1/6= 1/6
and then use the "new" fraction to order the other ones. but be sure to use the original values, not the ones you made using the GCF. so the answer would be:
1/6, 1/3, 1/2, 5/6
I don’t understand this..I need help!!
To prove that AD is congruent to CD is achieved using the SAS congruent triangle postulate.
What is congruency of triangle?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
Some of the rules include
Side - Side - Side = SSS
Side - Angle - Side = SAS
Angle - Side - Angle = ASA
Angle - Angle - Side = AAS
Hypotenuse and one leg = HL
The problem requires the prove by Side - Angle - Side = SAS to ensure that the the triangles are congruent
The SAS have it that the two triangles being compared should have their two sides and the included angle equal.
the angles and side used here include
Side = AB ≅ CB
included Angle = < ABD ≅ CDB (BD shared the angle into equal angles)
Side = BD ≅ BD (reflexive property)
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Please help. -----------------------------------------
Answer:
D
Step-by-step explanation:
the equation tells you that 1 yard is 3 feet
so when you move one unit to the right on the x-axis, you should move three units up on the y-axis
Charles can type 675675675 words in 999 minutes.
Answer:
Nice.
Step-by-step explanation:
Answer:
676352 wpm seems legit
What is -(9) fourth power
Answer:-9 to the fourth power is -6561
Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.
Please give brainliest if right.
Answer:
-6561
Step-by-step explanation:
\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)
Solve for x using the
distributive property.
5(2x - 7) = 5
Answer:
x=4
Step-by-step explanation:
10x-35=5
10x=5+35
10x=40
x=4
(distributive property was just multiplying 5 by both numbers in the parentheses)
Answer:
10x-35=5
10x=40
x=4
Step-by-step explanation:
prove me wrong
. A hotel elevator is on the 14th floor. If it goes up 5 floors, then goes down 8 floors, what floor is it now on?
Find the 8th term of the geometric sequence 7, 28, 112, ...
Simplify (6³)⁴ i have two hours to get this answer plz help :D
Answer:
2176782336
Step-by-step explanation:
\((6^{3} )^{4} = 6^{12}\)<-- multiply the exponents
6^12 = 2176782336
Explain how you would graph the inequality: 3 ≤ x
Given : Explain how you would graph the inequality: 3 ≤ x .
Solution : Graph in attachment .
Answer:
When you are graphing the equation the line, theline on the graph is going to be vertical. Your line point will be ( 3, 0 ). Then there will be a shaded part of the graph on the right on of the line.
What are dot plots used for?
A. Dot plots are best used to show a distribution of data.
B. Dot plots are best used to show answers to a non-statistical question.
C. Dot plots are best used to help you ask questions.
D. Dot plots are best used to help you tally data.
Answer:
A
Step-by-step explanation: