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Related Questions
PLEASE!!!! Help me outtt!!! I’d really appreciate it so much (:
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x = 2
y = -1/2
multiply 1st equation by 2 to get common coefficient
6x + 4y = 10
2x + 4y = 2
‐-------------- subtract equation
4x = 8
x = 2
substitute
3×2 + 2y = 5
6 + 2y = 5
2y = -1
y = -1/2
A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. The table shows the data: Number of employees (x) 0 50 100 150 200 250 300 350 400 Number of products (y) 100 1,100 2,100 3,100 4,100 5,100 6,100 7,100 8,100 Part A: Is there any correlation between the number of employees in the plant and the number of products produced yearly? Justify your answer. (4 points) Part B: Write a function that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate? (3 points).
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The correlation coefficient of the number of employees and the number of products is 0.1.
What is the correlation coefficient?The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
1 indicates a strong positive relationship.-1 indicates a strong negative relationship.A result of zero indicates no relationship at all, therefore, independent variable.
A.) In order to find the correlation between the two quantities we need to know the mean of the two values, therefore, the mean of the number of employees can be written as,
The mean of the number of employees
[tex]\text{Mean of the number of employees} = \dfrac{0+50+100+150+200+250+300+350+400}{9}[/tex]
[tex]\text{Mean of the number of employees} = 200[/tex]
The mean of the number of products
Mean of the number of Products [tex]= \dfrac{100+1100+2100 +3100+ 4100 +5100+ 6100+ 7100+ 8100}{9}\\\\\\=4100[/tex]
Now, the table can be written in the following manner as shown below, using the formula of the correlation,
[tex]r =\dfrac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]
[tex]r =\dfrac{(30 \times 10^4)}{\sqrt{(15 \times 10^4)\times (60 \times 10^6)}}\\\\r = 0.1[/tex]
B.) The given data follows the linear relationship, therefore, the function of the given data will follow the general equation of a line.
y = mx + C
If we look at the value of y when the value of x was 0,
[tex]y = mx +C \\\\100 = m(0) + C\\\\C = 100[/tex]
Substitute the value of C in any other data point we will get,
[tex]y = mx+C\\\\1100 = m(50) +100\\\\m = 20[/tex]
Hence, the function that best fits the data is y=20x+100.
C.) The slope and y-intercept of the plot indicate that as the number of employees in the organization increases the number of products increases as well. The y-intercept shows us that if there are no employees in the company at that point the company will be able to produce 100 products on its own.
Learn more about Correlation Coefficients:
https://brainly.com/question/15353989
Factor the expression of 2x squared + 7x -4
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Answer:
(2x−1)(x+4)
Step-by-step explanation:
2x2+7x−4=(2x−1)(x+4)
Please help me answer these questions I keep getting 60% and I can’t move on unless I have 70%
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In how many ways can the letters in the word spoon be arranged?
a. 24
b. 30
c. 60
d. 120
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A bowl has a radius of 3 inches. What is the circumference of the bowl?
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Answer:
9.42 (sorry if im late)
Step-by-step explanation:
I believe that if you take the radius and multiply it by pi (3.14), you get the circumfrence
3.14 x 3 = 9.42
determine slope and what it represents!
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Answer:
15 is the slope, it means you make $15 an hour
Step-by-step explanation:
$15 is found as the slope (see attachment), and because it's rise over run (15/1) then that is making $15 for every one hour worked.
I'm not good at linear equations and I need help fast.
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Answer:
B. nonlinear
Step-by-step explanation:
Difference Difference
in x x y in y
0 -2
1 1
1 -1
1 7
2 6
1 19
3 25
The difference between any two consecutive x-coordinates is 1. Each difference between any two consecutive y-coordinates is different. This means it is a nonlinear function.
Help me I really need help
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Answer:
Question 1 is A (7/10) Question 2 is b (39/56)
Step-by-step explanation:
If BS = 9 and AB = 14, what is the measure of AS? Round to the nearest hundredth. Show all your work.
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Answer:
When a radius meets a tangent the angle is always 90° and the length of the radius stays constant
So you can do pythagoras theorem
A2+b2=c2
9^2+14^2=C^2
C= 16.64
C~17
The area of a rectangle is 18 cm. It's length is double than that breadth, (1) Find its length and breadth (2) Find its perimeter?
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Answer:
3 cm, 6 cm18 cmStep-by-step explanation:
Let the width is x, then the length is 2x.
Area of rectangle:
x*2x = 182x² = 18x² = 9x = 3Dimensions are:
3 cm and 6 cmPerimeter is:
P = 2(3 + 6) = 18 cmLet dimensions be x and 2x
Now
Area=18LB=182x(x)=182x²=18x²=9x=3Now
Breadth=3
Length=2(3)=6
Perimeter
2(3+6)=2(9)=18cmpact cameras are as follows:
185, 165, 250, 170, 220, 160, 215, 300, 180, 95, 150, 210, 180, 180
Find each of the following for the data:
a.) mean
b.) median
c.) mode
d.) midrange
e.) range
of the
f.) variance
g.) standard deviation
Molisivab babae
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Answer:
In step by step
Step-by-step explanation:
Your mean is 190.
Your median is 180 because it is in middle.
Mode is also 180 because it appears most often
Range 205 because 300-95
Variance= without decimals/2346
Standard deviation without decimals /48
Hope it helps :} have a great day!
Find 3 consecutive integers that is 3 times the smallest is 32 more than the largest
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Answer:
10,11,12
Step-by-step explanation:
32-2/3=smallest
Wym has a packet of 50 biscuits she gives half of them to her friend and then eats 8 how many are left
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Answer:
17 biscuits
Step-by-step explanation:
Since she starts with 50 and gives away half which is 25, that will leave her with 25 biscuits herself. If she then eats 8 of them, that will leave her with 17 since 25-8=17.
what is the point of intersection of the linear system
x=5 and y = - 4
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The thesis statement, the theme or central idea of a speech, should be expressed as.
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pls help me i need the answer
4672 x 47 will mark brainlists
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Charity and timothy collect stamps. Timothy collected 17 fewer than three times the number of charitys stamps. Altogether, they collected 527 stamps. How many stamps did charity and timothy collect?
Charity collected _____
timothy collected____
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Let
charity collected=xTimothy collected=3x-17ATQ
[tex]\\ \tt\hookrightarrow x+3x-17=527[/tex]
[tex]\\ \tt\hookrightarrow 4x-17=527[/tex]
[tex]\\ \tt\hookrightarrow 4x=544[/tex]
[tex]\\ \tt\hookrightarrow x=136[/tex]
Charity=136Timothy=527-136=391[/tex]i need help with this please give plain answer like the example on the image!
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Answer:
can you make it look better
Step-by-step explanation:
The quality
A basket of fruit contained 5 oranges, 5 apples, 3 bananas, and 2 grapefruit. What percent of the basket were bananas
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Answer:
20%
Step-by-step explanation:
The percentage score for 3 out of 15 is 20.00%.
Evaluate x/y if x= 4/5 and y= −0.1 . Write your answer in simplest form.
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Answer:
-8
Step-by-step explanation:
given x as 4/5 and y = - 0.1...
converting x to decimal it becomes 0.8
we then input values for x and y in the equation x/y
x/y = 0.8 / -0.1 = -8
The value of the fraction x/y is -8.
Given that, x= 4/5 and y= −0.1.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
To find the value of fraction x/y:
Here, x=4/5 = 0.8
Now, x/y = 0.8/(-0.1)
= -8
Hence, the value of the fraction x/y is -8.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ5
Which graph represents the solution of |–2 + (x – 3)| < 7?
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Answer:
D
Step-by-step explanation:
the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.
otherwise, we would have a "<=" ("smaller or equal") symbol.
let's start for the first limit to calculate without the absolute value :
-2 + (x - 3) < 7
-5 + x < 7
x < 12
the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :
-1×(-2 + (x - 3)) < 7
2 - (x - 3) < 7
2 - x + 3 < 7
-x + 5 < 7
-x < 2
x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).
7 times a number is 30 greater than the sum of twice the number and five
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Answer:
7 X = 30 + 2(x + 5)
7x = 30 + 2x + 10
7x = 40 + 2x
7x - 2x = 40 + 2x -2x
5x = 40
x=8
Answer:
x=8
Step-by-step explanation:
7 X = 30 + 2(x + 5)
7x = 30 + 2x + 10
7x = 40 + 2x
7x - 2x = 40 + 2x -2x
5x = 40
x=8
Yay is making jam. The recipe calls for 3 strawberries for each apple
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Answer:
3 into 1 apple so if u have 3 apples u need 9 strawberrys
Step-by-step explanation:
need help on this question.
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[tex]\implies2x = 74 \\ \implies \: x = \frac{74}{2} \\ \implies \: x = 37[/tex]
If you are wondering why 2x = 74 then, vertically opposite angles are always equal.
will give brainlist and 30 points
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Answer:
what are you asking
Step-by-step explanation:
what are u asking
For each inequality, find two For each inequality, find TWO values for that make the inequality true.
X+3>70
A. 61
B. 66
C. 50
D. 67
E. 70
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Answer: Choice D and Choice E
Explanation:
Subtract 3 from both sides
x+3 > 70
x+3-3 > 70-3
x+0 > 67
x > 67
Any number larger than 67 will make the original inequality to be true.
Unfortunately, only E) 70 fits the description.
D) 67 won't work since 67 > 67 is false.
However, I have a feeling that the original inequality might be [tex]x+3 \ge 70[/tex]. If so, then 67 would work because [tex]67\ge 67[/tex] is true.
So I'll assume that this is the inequality you meant to type out.
Which expression below produces the nth term in the sequence?
4,4, -12, -20, -28, ...
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Answer:
-28, -20, -12, 4, 4
Step-by-step explanation:
I really dont know how to explain this but yeah pretty much thats the answer.
Pre Ap Geometry, the circled ones are the ones I need help with!
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Answer:
Yo hope you do not get in trouble for plagiarism
Step-by-step explanation:
A farmer saw some chickens and pigs in a field. He counted 51 heads and 172 legs. Determine
exactly how many chickens and pigs he saw.
How many chickens?
How many pigs?
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Answers:
16 chickens
35 pigs
========================================================
Explanation:
x = number of chickens
y = number of pigs
There are 51 heads, so x+y = 51 which solves to y = 51-x
2x = number of legs just from the chickens (2 legs per chicken)
4y = number of legs just from the pigs (4 legs per pig)
2x+4y = 172 legs total
----------
Plug in y = 51-x and solve for x.
2x+4y = 172
2x+4(51-x) = 172
2x+204-4x = 172
-2x+204 = 172
-2x = 172-204
-2x = -32
x = -32/(-2)
x = 16
Now use this to find y
y = 51-x
y = 51-16
y = 35
Since x = 16 and y = 35, this means there are 16 chickens and 35 pigs.
----------
Check:
x+y = 16+35 = 51 which works
2x+4y = 2*16+4*35 = 172 and that also works.
Both equations are confirmed.