Answer:
58 / (24 + 58) = 29/41
Step-by-step explanation:
What is Regression in math.
Answer:
Regression is a statistical technique or method that evaluates the relationship between one dependent variable (usually denoted by Y) and a set of other variables (known as independent variables or regressors)
Step-by-step explanation:
Perform the following calculations to the correct number of significant figures. Write your answers in scientific notation. a.
(150)(0.0815)
9445
= b.
245
(1.51+12)×0.7887
= c. (249.36+41.0)÷63.498=
Our final answer is: 4.5726 x 10^0 (We use scientific notation to write the answer.) Significant figures refer to the accuracy of a measurement. They represent the number of digits in a value that are considered reliable or significant.
The rules for determining significant figures are as follows: All non-zero digits are considered significant.For example, in the number 243.1, there are four significant figures. All zeros between non-zero digits are considered significant.For example, in the number 402, there is only one significant figure.
All zeros to the right of a non-zero digit and to the right of the decimal point are significant.For example, in the number 5.00, there are three significant figures. All zeros to the left of the first non-zero digit are not significant.For example, in the number 0.0058, there are two significant figures.
Now, let's perform the calculations given in the question:(249.36 + 41.0) ÷ 63.498First, we'll add the numbers in the parentheses:249.36 + 41.0 = 290.36.
Now, we'll divide this sum by 63.498:290.36 ÷ 63.498 = 4.5725893 (This value has 8 digits, but we need to round it to the correct number of significant figures.) The given value has five significant figures, so our answer should also have five significant figures.
The digit in the fifth place is 5, which is greater than 5, so we round the digit in the fourth place up. Therefore, our final answer is: 4.5726 x 10^0 (We use scientific notation to write the answer.)
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What risks do possibly occur by not performing the qualitative tests in duplicate?
Not performing qualitative tests in duplicate can introduce certain risks and potential issues:
False positives: Without duplicate testing, there is a higher risk of obtaining false positive results. False positives occur when a test incorrectly indicates the presence of a particular characteristic or condition. Duplicate testing helps verify the accuracy and reliability of the results, reducing the chances of false positives.
False negatives: Similarly, not performing qualitative tests in duplicate increases the risk of false negatives. False negatives occur when a test fails to detect a characteristic or condition that is actually present. Duplicate testing provides an additional opportunity to identify any missed detections and reduces the likelihood of false negatives.
Variability and uncertainty: Qualitative tests can be subject to variability due to factors such as sample preparation, test conditions, or interpretation. Duplicate testing helps assess the consistency and reproducibility of the results, providing a measure of confidence and reducing uncertainty.
Quality control issues: Duplicate testing is an essential component of quality control protocols. It helps ensure the reliability and accuracy of the testing process and minimizes the potential for errors or inconsistencies. Not performing duplicate tests can compromise the overall quality control procedures, leading to compromised data and unreliable conclusions.
Validation and reproducibility: Duplicate testing is often required for validation purposes and to demonstrate the reproducibility of results. It helps establish the robustness and reliability of the testing method. Without duplicate testing, it becomes more challenging to validate and reproduce the results, which can undermine the credibility of the findings.
In summary, not performing qualitative tests in duplicate increases the risks of false positives, false negatives, variability, uncertainty, quality control issues, and challenges in validation and reproducibility. Duplicate testing plays a crucial role in ensuring the accuracy, reliability, and validity of qualitative test results.
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In the diagram below, ST is parallel to PQ. If SR = 2.4, PQ = 1.8, RQ = 3,
and ST 1.2, find the length of PR. Figures are not necessarily drawn to scale.
PR=
Answer:
PR = 3.6
Step-by-step explanation:
Triangles PQR and STR are similar figures. PQ is the base of triangle PQR just like ST is of triangle STR. PR is parallel to SR and RQ is parallel to RT.
\(\frac{Side PQ}{Side ST} =\frac{Side PR}{Side SR}\)
=\(\frac{1.8}{1.2} = \frac{PR}{2.4}\)
Cross-multiplying:
=(1.8)(2.4) = (1.2)(PR)
= PR = \(\frac{(1.8)(2.4)}{(1.2)}\)
= PR = 3.6
How do you write 652% as a fraction, mixed number, or whole number?
Two vectors A⃗ A→ and B⃗ B→ have magnitude AAA = 2.96 and BBB = 3.10. Their vector product is A⃗ ×B⃗ A→×B→ = -4.97k^k^ + 1.91 i^i^. What is the angle between A⃗ A→ and B⃗ ?
Therefore, the angle between A⃗ and B⃗ is approximately 79.71 degrees.
To find the angle between vectors A⃗ and B⃗, we can use the dot product formula:
A⃗ · B⃗ = |A⃗| |B⃗| cos(θ)
where A⃗ · B⃗ is the dot product of A⃗ and B⃗, |A⃗| and |B⃗| are the magnitudes of A⃗ and B⃗, and θ is the angle between them.
Given that A⃗ · B⃗ = 1.91 (from the vector product) and |A⃗| = 2.96 and |B⃗| = 3.10, we can rearrange the equation to solve for cos(θ):
cos(θ) = (A⃗ · B⃗) / (|A⃗| |B⃗|)
cos(θ) = 1.91 / (2.96 * 3.10)
Using a calculator to compute the right-hand side, we find:
cos(θ) ≈ 0.206
Now, to find the angle θ, we can take the inverse cosine (arccos) of 0.206:
θ ≈ arccos(0.206)
Using a calculator to compute the arccos, we find:
θ ≈ 79.71 degrees
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he cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810.
What is the administration fee?
$50
$54
$55
$60
The one-time administration fee is (d) $60
How to determine the administration fee?From the question, we have the following parameters that can be used in our computation:
12 months costs $660.
15 months costs $810.
This means that
(x, y) = (12, 660) and (15, 810)
For the one-time administration fee, we have
(x, y) = (0, y)
So, we calculate the slope using
slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
(y - 660)/(0 - 12) = (810 - 660)/(15 - 12)
This gives
(660 - y)/12 = 50
So, we have
660 - y=600
This gives
y = 60
Hence, the administration fee is $60
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Place the indicated product in the proper location on the grid.
(y - x )(y - x)
We can write the product (y - x)(y - x) as -
x² + y² - 2xy.
What is normal distribution?Normal distribution is a function that represents the distribution of many random variables as a symmetrical bell-shaped graph. Mathematically -
\($f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}\)
Given is to find the product of -
(y - x)(y - x)
We can write the product as -
(y - x)(y - x)
y(y - x) - x(y - x)
y² - xy - xy + x²
x² + y² - 2xy
Therefore, we can write the product (y - x)(y - x) as -
x² + y² - 2xy.
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Marco accepts a request to play the piano at his church's sunday services, even though he is still learning how to play the piano. he plays a well-learned, simple piece. happily, he performs very well in front of his congregation. marco's behavior illustrates ________. group of answer choices
Marco, a novice piano player, accepts a request to perform at his church's Sunday services. Despite being a beginner, he confidently plays a simple piece and impresses the congregation.
Marco's behavior illustrates courage and a willingness to step out of his comfort zone. By accepting the request to play the piano, even though he is still learning, Marco demonstrates a sense of bravery and a desire to challenge himself. Despite his limited experience, he chooses a well-learned, simple piece, showing his understanding of his current skill level. Marco's performance showcases his commitment to personal growth and his ability to deliver under pressure. The positive reception from the congregation serves as a validation of his decision and encourages him to continue pursuing his passion for playing the piano.
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Frank earned f dollars mowing lawns. Bryce's earnings, b, were $15.25 less than 3.5 times as
much as Frank's earnings. Which of the following equations best represents this situation?
A. b = 3.5f + 15.25
B. f= 3.5b - 15.25
C. b = 3.5f-15.25
D. f = 3.5b + 15.25
a) Graph the circle defined by x2 + y² = 41.
b) Verify algebraically that the line
segment joining U(-4, 5) and V(-5, -4)
is a chord of this circle.
c) Determine an equation for the line that
passes through the origin and is
perpendicular to the chord UV.
d) Verify that this line passes through the
midpoint of the chord.
The equation x² + y² = 41, which is the equation of a circle indicates;
a) Please find attached the graph of the equation of the circle created with MS Excel
b) The points U(-4, 5) and V(-5, -4), satisfy the equation of the circle, therefore, the points are on the the circle
c) The equation is; y = (-1/9)·x
d) The midpoint of UV, (-9/2, 1/2), satisfy the equation of the line; y = (-1/9)·x, therefore, the line passes through the midpoint.
What is the general form of the equation of a circle?The general form of the equation of a circle is; (x - h)² + (y - k)² = r²
Where; (h, k) = The coordinates of the center of the circle
r = The radius of the circle.
a) The equation x² + y² = 41 is the equation of a circle centered at the origin with radius √(41). The center of the circle can be plotted at the origin (0, 0) and then draw the circle with radius √(41) using a compass or by plotting points.
b) To verify algebraically that the line segment joining U(-4, 5) and V(-5, -4) is a chord of the circle x² + y² = 41, the coordinates of U and V are plugged into the equation of the circle to verify that they satisfy the equation.
We get for point U(-4, 5); (-4)² + (5)² = 16 + 25 = 41
Point V(-5, -4); (-5)² + (-4)² = 25 + 16 = 41
Both of these equations are true, so the line segment joining U and V is a chord of the circle.
c) The equation of the line that passes through the origin and is also perpendicular to the chord UV, can be obtained by finding the slope, m of UV as follows;
m = (y₂ - y₁)/(x₂ - x₁)
Where; (x₁, y₁) = (-4, 5) and (x₂, y₂) = (-5, -4)
m = (-4 - 5)/(-5 - (-4)) = -9/-1 = 9
Therefore;
The slope of the required perpendicular line, m' should be; m' = -1/m
m' = -1/9
The line passes through the origin, therefore, a point on the line is; (0, 0)
The equation of the line is therefore;
y = (-1/9)·x
d) The midpoint of the chord UV can be found using the midpoint formula as follows;
Midpoint of a segment (x₁, y₁), (x₂, y₂) is; [(x₁ + x₂)/2, (y₁ + y₂)/2]
The midpoint of the chord is; [(-4 - 5)/2, (5 - 4)/2] = (-9/2, 1/2)
Plugging in the values of the coordinate of the midpoint, (-9/2, 1/2), into the equation of the line; y = (-1/9)·x, we get;
(1/2) = (-1/9) × (-9/2) = 1/2
Both sides of the equation are equal therefore the line passes through the midpoint of UV.
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14(4j – 15) > ‐25j + 33 PLS HELP I NEED ANSWERS
could u also look at my other question ty ILL GIVE U BRAINLIEST AND 20 POINTS
Answer:
j > 3 hope this helps =)
The number of students in attendance since 2000 at Lamar Community College can be represented by the equation below, where x equals the time in years after 2000. S(x) = (x - 50)² + 19 The college creates a graph to better view the decreases and increases in attendance. Which of the following describes the end behavior of their graph? O A. As x approaches positive infinity, S(x) remains constant. OB. As x approaches positive infinity, S(x) approaches positive infinity. OC. As x approaches positive infinity, S(x) approaches zero. OD. As x approaches positive infinity, S(x) approaches negative infinity.
As domain x approaches positive infinity, S(x) approaches positive infinity. Option B is correct.
What is a graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Given expression for the attendance of the student is,
S(x) = (x - 50)² + 19
The end behavior of their graph is given as after x = 50 the graph starts heigh increasing gradient and it keeps increasing, till x = infinity, as shown in the graph.
Thus, the curve of the given equation S(x) will increase from x = 50 to x = ∞ .
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SOMEONE ANSWER PLEASE!!!!!
1. Pilar and her sister Marisol live near the beach. Pilar has 80 seashells in her collection when Marisol started collecting seashells. Marisol started with zero seashells in her collection.
• Pilar adds 10 seashells to her collection each week for x weeks.
• Marisol adds 20 seashells to her collection each week for x weeks.
(a) Write an inequality to represent the situation when the number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection.
(b) Solve the inequality in part (a) for the x. Show your work and explain your answer.
Pilar started with 80 and adds 10 each week.
y= 10x + 80 (ten seashells • weeks + 80 she started with)
Marisol started with 0 and adds 20 each week.
y = 20x (no need to add + 0 because she started with nothing)
Inequality:
y = 10x + 80 < y = 20x
Weeks:
I would reccomend just plugging in numbers (for example if I put in 5 I would determine if it was too high or low then go to the next number.)
I plugged it into an online graph so I can’t show my work but the answer is 8 weeks.
Here, we are required to write an inequality to represent the situation when the number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection and solve the inequality for x (i.e no. of weeks).
The inequality is 20x >80+10xthe number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection after 8weeksFor Marisol who started with zero seashells in her collection and adds 20 seashells per week,
The no. of seashells in her collection after X weeks is: 20 xFor Pilar who started with 80 seashells in her collection and adds 10 seashells per week,
The no. of seashells in her collection after X weeks is: 80+10x
Therefore, when the number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection; we have;
The inequality is 20x >80+10xTo determine after how many weeks (i.e x) when this happens; we solve for x in the inequality.
Therefore, 20x - 10x > 80And, 10x > 80and X = 8Consequently, the number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection after 8weeks.
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What is the answer to 8(6-4n)=-27-7n
Answer:
8(6-4n) = -27-7n
8×6 8× -4n
48 -32n = -27-7n
Collect like terms
48+27 = -7n+32n
75 = 25
Divide both sides by 25
75/25 = 25/25
- Higher Order Thinking The quadratic function
whose graph is shown represents a cereal bowl.
Its equation is y=0.32x2 – 1.6x + 2. Describe
how you could use the function to find the
diameter of the cereal bowl if you know its
depth.
1211
8
Х
-4.
4.
8
4
Graphs are used to represent real life models
To calculate the diameter, we substitute the value of x in the function,
From the complete question (see attachment for graph), we have the following observations
y represents the diameter of the cereal bowlx represents is depthThe above statement means that:
y is a function of x
So, when the depth is known (i.e. the value of x is known)
We simply substitute this in the function, to calculate the diameter
Take for instance:
\(\mathbf{x = 8}\)
The diameter of the bowl would be:
\(\mathbf{y = 0.32x^2 - 1.6x + 2}\)
Substitute 8 for x
\(\mathbf{y = 0.32\times 8^2 - 1.6 \times 8 + 2}\)
\(\mathbf{y = 20.48 - 12.8 + 2}\)
\(\mathbf{y = 9.68}\)
The above equation means that:
The diameter of the bowl is 9.68, when the depth of the bowl is 8
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Answer:
First find the vertex.
- Since the vertex is on the x-axis, the top of the bowl is a horizontal line with y equal to the bowl's depth.
- Find the diameter by substituting the depth for y in the original equation and solving for x
- Then find the positive difference between the two solutions.
A number cube was rolled as part of an experiment. The results are displayed in the table below. What is the best explanation of how to find the experimental probability of rolling a 3?
Answer:
The outcome table was not given. But find below how to find the experimental probability
Step-by-step explanation:
Experimental Probability = number of times you rolled a three / the number of times you rolled the die itself.
what value of x makes this equetion true -90=-100+x
Answer:
-190
Step-by-step explanation:
100+(-190)=-90
hope this is correct! c:
x2+10 evaluate if x=15
Answer:
235
Step-by-step explanation:
x^2+10 x = 15
= 15^2 + 10
= 225 + 10
= 235
Sidney made root beer floats for her friends when they came over. The table shows the ratio of cups of ice cream to cups of soda used to make the floats. Ice Cream (cups) Soda (cups) 3.5 10.5 8 24 12.5 37.5 17 ? At this rate, how much soda will Sidney use for 17 cups of ice cream? 42 cups 51 cups 54 cups 62 cups
Answer: the correct answer is 51
Step-by-step explanation: i solved this on my quiz
i hope this helps!
Sidney will use 54 cups of soda for 17 cups of ice cream, So the answer is 54 cups.
What is the ratio?
A ratio is a relationship between two things when it is expressed in numbers or amounts. For example, if there are ten boys and thirty girls in a room, the ratio of boys to girls is 1:3, or one to three.
We can start by noticing that the ratio of cups of ice cream to cups of soda used to make the floats is always 1:3.
To find out how much soda Sidney will use for 17 cups of ice cream, we can set up a proportion:
3.5/10.5 = 8/24 = 12.5/37.5 = 17/x
Solving for x, we can cross-multiply:
3.5x = 10.5 * 17
x = 54
Therefore, Sidney will use 54 cups of soda for 17 cups of ice cream, So the answer is 54 cups.
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Tim bought $200 TV Sets and $50 portable speakers to give to his students for Christmas. She bought 30 devices in all and spent $3000. How many TV's and Speakers did she buy? Show all work.
Answer:
12
200+50=250
3,000/250=12
Organic foods in local stores are typically more expensive than conventional foods. The table below compares recent organic and conventional prices per pound for carrots and apples. Use the table to answer the questions. A table showing the first column, Organic Price and the second column, Conventional Price. The first row is Carrots with the entries, $1. 51 per pound and $0. 77 per pound. The second row is Apples with the entries $2. 34 per pound and $1. 57 per pound. The third row is Onions with the entries $1. 57 per pound and $0. 93 per pound. Do the organic prices vary directly with the conventional prices? If so, identify k. Does the total cost of organic apples vary directly with the number of pounds of organic apples purchased? If so, identify k.
Organic foods in local stores are typically more expensive than conventional foods. The table compares recent organic and conventional prices per pound for carrots and apples. Using the table, we can determine whether the organic prices vary directly with the conventional prices.
According to the data in the table, it can be noticed that the organic prices do vary directly with the conventional prices because the ratios of organic price per pound to conventional price per pound are constant. Therefore, we can say that the organic prices vary directly with the conventional prices. We can identify k by using the carrot data which is $1.51 per pound and $0.77 per pound.1.51/0.77 = 1.962 k = 1.962Therefore, k = 1.962 does vary directly with the conventional prices. We can also determine if the total cost of organic apples varies directly with the number of pounds of organic apples purchased. If they do, we can identify k. According to the data in the table, we can say that the total cost of organic apples varies directly with the number of pounds of organic apples purchased because the ratios of total cost to the number of pounds are constant.
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What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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What is the length of the unknown leg in the right triangle?
Answer:
Root 32
Step-by-step explanation:
root 113 squared = 113
113-9^2=113-81=32
To find the original side length, you must find the square root.
Therefore, the answer is root 32.
Hope this helps :-)
the combo meal was 7.75. there is a 20% reward coupon. how much is the combo
Given a data set consisting of 33 unique whole number observations, its five-number summary is:
12, 24, 38, 51, 69
How many observations are strictly less than 24?
There are 8 observations in the data set that are strictly less than 24.
The five-number summary gives us the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value of the data set.
We know that the value of Q1 is 24, which means that 25% of the data set is less than or equal to 24. Therefore, we can conclude that the number of observations that are strictly less than 24 is 25% of the total number of observations.
To calculate this value, we can use the following proportion:
25/100 = x/33
where x is the number of observations that are strictly less than 24.
Solving for x, we get:
x = (25/100) * 33
x = 8.25
Since we can't have a fraction of an observation, we round down to the nearest whole number, which gives us:
x = 8
Therefore, there are 8 observations in the data set that are strictly less than 24.
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What is the value of y
Answer: C
Step-by-step explanation: A straight angle is 180 degrees:
180-130 = 50
Triangle angles equal up to 180.
50 + 2y =180
y =65
SUM OF INTERIOR OPPOSITE ANGLES = EXTERIOR ANGLE .
\(130 = y + y \\ 130 = 2y \\ \frac{130}{2} = y \\ \frac{ \cancel{130}^ { \tiny \: \: \: \: 65} }{ \cancel{2}} = y \\ y = 65 \degree\)
I can't now the answer for this question. The question is, select all the number that are 10 times as much as 72. 67 or 1/10 of 72. 67
The only number that is 10 times as much as 72 is 720.
To find the numbers that are 10 times as much as 72 or 1/10 of 72, we can perform the following calculations:
10 times 72 = 720
1/10 of 72 = 7.2
So, the numbers that are 10 times as much as 72 are 720.
The number 67 is not 10 times as much as 72 or 1/10 of 72. Therefore, it is not one of the numbers we are looking for.
On the other hand, 1/10 of 72 is 7.2, which is not one of the numbers we are looking for either.
Therefore, the only number that is 10 times as much as 72 is 720.
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complete question
Select all the numbers that are 10 times as much as 72, 67, or 1/10 of 72.
- 67
-46
-720
-480
Last questions, ¼×⅗, ⅓×11, 4/9×⅜.please answer in only full numbers and fractions.
Can 2 acute and 1 right angle form a triangle?
A triangle with one right angle and two acute angles is called a right-angled triangle.
A right angle is one that is 90 degrees in length. It is the most frequently encountered angle in our daily lives. It can be noticed in room corners, box edges, mobile phone screens, and so on.
A square's and a rectangle's sides always make a right angle with each other. It is represented in radians as /2.
The angle formed by two lines that are perpendicular to each other is called a right angle. A right angle is equal to 90° and is in the shape of the letter "L". In the following figure, ray AB and BC form a right angle ABC.
Thus, a triangle with one right angle and two acute angles is called a right-angled triangle.
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