Answer:
Part A: Yes. There is a correlation between the number of workers in a factory and the number of units produced daily.
Part B: The equation of the function that best fits the data is
Part C: The slope is which indicates the rate of change of number of units produced daily over the change in number of workers. The y - intercept is which indicates the number of units produced by number of workers.
Explanation:
Part A: To determine the correlation coefficient, first we shall find the slope and y - intercept.
Let us substitute the coordinates and in the slope formula, to find the value of slope.
Hence, we have,
Thus, the slope is
The y - intercept is the value of y when the value of x is equal to 0.
Thus, from the table , we can see that when , the value of y is 2
Hence, the y - intercept is
Substituting the values and in the slope intercept form , we get,
Hence, there is a linear correlation between the number of workers in a factory and the number of units produced daily.
Part B: To find the function that best fits the data, let us substitute the value of slope and y - intercept in the slope intercept formula.
Since, we have already found slope and y - intercept
Substituting these values in the slope intercept form , we get,
Thus, the function that best fits the data is
Part C:
The slope is
The slope indicates that the rate of change of number of units produced daily over the change in number of workers.
The y - intercept is
The y - intercept indicates that the number of units produced by number of workers.
Step-by-step explanation:
A. Yes. B. A linear function of the form y = 5x + 2 can best fit the data. C. The slope (m) of the plot indicates the rate of change in the number of units produced per worker. The y-intercept (b) indicates the number of units produced when there are zero workers.
What is the Linear function?A linear function is defined as an equation in which the highest exponent of the variable is always one.
Part A:
Yes, there is a positive correlation between the number of workers in a factory and the number of units produced daily. As the number of workers increases, the number of units produced also increases.
Part B:
A linear function of the form y = 5x + 2 can best fit the data, which is determined by the two points (10, 52) and (50, 252).
Part C:
The slope of the plot indicates the rate of change in the number of units produced per worker. The y-intercept indicates the number of units produced when there are zero workers. The slope and y-intercept together describe the overall trend of the data and can be used to make predictions about future production levels.
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From a population of size 600, a simple random sample of size 58 is selected. The sample mean is 400, and the sample standard deviation is 40. An approximate 95% confidence interval for the population total is _____. a. 350 to 400 b. 350,000 to 450,000 c. 234,010 to 245,990 d. 390 to 409
Answer:
b. 350,000 to 450,00
Step-by-step explanation:
You are offered two jobs. One with a yearly salary of $51,670, and the other an hourly
job with a rate of $26 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?
Step-by-step explanation:
a year = 52 weeks
a year working hours = 45× 52 = 2340 hours
first job rate per hour = $51670 ÷ 2340 hours
= $22
sec job rate per hour = $26
Nick's bank accout balance was $21. If he
writes a check for $30 and his bank charges
him $35 for overdrawing his account, find
his account balance.
Answer:
56
Step-by-step explanation:
A cell phone tower casts an
post
80-foot shadow. At the same time, a 6-foot fence
casts a shadow of 4 feet. What is the height of the tower?
please help me with this math is for my math homework
Answer:
5
Step-by-step explanation:
Step-by-step explanation:
[tex] \frac{137}{24} [/tex]
or
[tex] \frac{137}{24} or \: 5 \frac{17}{24} [/tex]
hope that helps you
4/3 ÷ 5/3
Answer must be in simplest form.
find the indicated length
Answer:
x=6
AC = 28
Step-by-step explanation:
4x+4= AC
4x +4 = 14 + 3x -4
4x-3x= 14-4-4
x = 6
AC = 4(6) +4 = 24+4 = 28
If the value of the x=4 y=3 and z=-2 find value of
A. (x+y)² - 2z B. 2xy-3z C. 2x²-4y+z
Step-by-step explanation:
A=(4+3)²-2(-2)=7²+4=49+4=53
B=2(4)(3)-3(-2)=24+6=30
c=2(4)²-4(3)+(-2)=2(16)-12-2=32-14=18
13. R(-9, 4) and S(2, -1); Find T.
Answer:
you dont have enough information
Step-by-step explanation:
PLEASE ANSWER THIS QUICK!!!!
Suppose you solve an equation and
find that your school needs 4.3 buses for a class trip.
Explain how to interpret this solution.
Answer:
you need 5 buses and 4 will be totally full and one will only be 1/3 full
or you can have 14% of all 5 buses with empty seats
Step-by-step explanation:
please help asap and show work pls
Answer:
Answers are a. 8, b. 10, c. -2, d. invalid
Step-by-step explanation:
a.
[tex]f(x)=|x|\\So, f(8)=|8|=8\,;[Modulus\,\,is\,\,always\,\,the\,\,positive\,\,value][/tex]
b.
[tex]f(x)=3^x+1\\f(2)=3^2+1=9+1=10[/tex]
c.
[tex]f(k)=\frac{k}{2}+1\\f(-6)=\frac{-6}{2}+1=-3+1=-2[/tex]
d.
[tex]f(x)=\sqrt{x-5} \\f(3)=\sqrt{3-5}=\sqrt{-2}\\There\,\,is\,\,no\,\,real\,\,solution\,\,for\,\,root\,\,of\,\,a\,\,negative\,\,number[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
what is 4.414*10 9 in standard form
Answer:
4,414,000,000
Step-by-step explanation:
4.414x10^9, move the decimal place 9 places to the left.
If jonny has 19 apples then adds 19 more apples to his collection how many does he have
Answer:
it should be 38
Step-by-step explanation:
Just add 19 more to the amount you already have.
i need help ;^; please
Answer:
[tex] \sqrt{3 {x}^{2} {y}^{3} } \times 2 \sqrt{72 {x}^{3} {y}^{4} } \\ = 2 \sqrt{3 {x}^{2} {y}^{3} 72 {x}^{3} {y}^{4} } \\ = 2 \times 6 \sqrt{6} \times \sqrt{ {x}^{5} {y}^{7} } \\ 12 \sqrt{6} {x}^{2} {y}^{3} \sqrt{xy } \\ 12 {x}^{2} {y}^{3} \sqrt{6xy} \\ thank \: you[/tex]
12x^2y^2 -_/6xy
thats the answer you're looking for
Someone help pleasee
Answer:
a horizontal translation 3 units to the right because-3 has been added to the exponent
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
- m-{ =2+3m
2
3
.
4.
05
Answer:
4 is the correct answer.
Number "4" can each term of the equation be multiplied by to eliminate the fractions before solving.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
To eliminate the fractions in the equation -3/4m -1/2m=2+1/4m, we need to find the least common multiple (LCM) of the denominators of the fractions, which is 4.
We can then multiply each term of the equation by 4 to eliminate the fractions.
So, multiplying both sides of the equation by 4, we get:
-3m - 2m = 8 + m
To simplifying, we have:
-5m = 8 + m
To solve for m, we can isolate the variable on one side of the equation. Adding 5m to both sides, we get:
4m = 8
Finally, dividing both sides by 4, we get:
m = 2
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please help me with my question due tomorrow morning I will like and mark as brainliest for the first correct answer please
Answer:
p = (2k + 1)i + j
q = 25i + (k + 4)j
p . q = 11
Find the dot product of p and q
(2k + 1)(25) + (k + 4) = 11
50k + 25 + k + 4 = 11
51k = -18
k = - 18/51 = –6/17.✅
b) p.q = |p||q|cos∅
p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j
|p| = √ (5/17)² + 1²
|p| = √314/ 17 ( The square root doesn't cover the 17) = 1.0424
q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j
q = 25i + 62/17 j
|q| = √ 25² + (62/17)²
= 25.2646
Now applying them to the formula above
We already have p.q = 11 from the question.
11 = (1.0424)(25.2646)Cos∅
11 = 26.3358Cos∅
Cos∅ = 11/26.3358
Cos∅ = 0.4177
∅ = 65.31°.
This should be it.
Hope it helps
Tyrell gave 3 packs of baseball cards to his friends. He gave each friend 1/2 of a pack. How many friends got baseball cards?
Answer:
The answer is 6, my other answer got deleted for being "incomplete" even through I was marked as brainliest
Step-by-step explanation:
given MN= PQ, NO=QR,.and OM=RP
Answer:
Step-by-step explanation:
PLEASE HELP ME FAST I WILL GIVE 55 POINTS AND BRAINLIEST AND HEART
Questions 10-12
f(x)= 3x-13
g(x)= 2x^2-4x-5
h(x)=4^x-7
10. Find (f - g) (x)
11. Find (f - h) (x)'
12. Find (f + g) (x)
I think this is a composition function material ¤¤
Sory this is my answer.
I need help/ explanation. Algebra 2 15 points
Stretch the graph of f(x) vertically by a
factor of 2.
I need to know how to do this.
Answer:
For each point on the curve given, make a new point that has the same x value but double the y value.
Step-by-step explanation:
Pick several points on the graph given. the easiest points to pick would be (-2, 0), (0, 2) and (2, 0). That's the point on the far left, the point on the top of the curve in the middle, and the point on the far right. For each of these points, make a new point that's twice as high but has the same position left/right. For the far left point and the far right point, the new point will be the same as the old point because the height is zero and double zero is still zero. For the point in the middle the new height will be four since the old height was just two. Then draw a nice curve through those points and you will have the answer. It will be a mound that's twice as tall as the current mound but the same width.
write 0.32 repeating as a fraction in simplest form.
Answer:
0.32 repeating as a fraction
= 32/99
Step-by-step explanation:
The fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.
To express the repeating decimal 0.32 repeating as a fraction in simplest form, we can use the concept of geometric series.
Let's represent 0.32 repeating as x:
x = 0.323232...
Multiply both sides of the equation by 100 to shift the decimal point two places to the right:
100x = 32.323232...
Now, subtract the original equation from the shifted equation to eliminate the repeating part:
100x - x = 32.323232... - 0.323232...
Simplifying the equation:
99x = 32
Divide both sides of the equation by 99 to solve for x:
x = 32/99
Therefore, the fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.
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Write the equation of the circle centered at (4, - 9) with diameter 16.
HELP A GIRL OUT
Answer:
16= (x-4)^2 +(y+9)^2
Step-by-step explanation:
hey! The formula for the equation of a circle is r^2= (x-h)^2 + (y-k)^2
r= the radius (in your case you have the diameter so you do not need to square it)
(h,k)= is the center coordinates, so your center coordinate would be (4, -9). You now have your h (h=4) and your k (k=-9) so you can plug it in the formula! :)
a nice rating would help out
I need help on this please.
Answer:
Write in the box :....
30
Is the fraction 6 1/4 a natural number, whole number, integer, rational number, or a irrational number?
*FYI, I think it is a rational number. Lmk if I am wrong :)*
Answer:
your right it is a rational number
Carson buys eggs and lemons at the store.
He pays a total of $39.62.
He pays $6.74 for the eggs.
He buys 8 bags of lemons that each cost the same amount.
Which equation could be used to determine xx, how much each bag of lemons costs?
Answer:
8x = 39.62 - 6.74
Step-by-step explanation:
Cost of 1 bag of lemons = $ x
Cost of 8 bags of lemons = 8 *x = 8x
Cost of 8 bags of lemons = Total cost - cost of the eggs
8x = 39.62 - 6.74
Answer:
3.
Step-by-step explanation:
[tex]x + y = 39.62 \\ x = 6.74 \\ y = \frac{39.62 - 6.74}{8} [/tex]
A car accelerates along a straight road, which is 15km long. The car reaches a speed of 75 km/h in 10 s. The average acceleration of the car is
Select one:
A. 2.1 m/s ^2
B. 7.5 m/s ^2
C. 1.5 m/s ^2
D. 5.0 m/s ^2
^2 means exponent
Answer:
I think answer id B.and this will right you make me brillent student
The acceleration will be 2.1 meters per second. The correct option is A.
What is acceleration?Acceleration of any object is defined as the variation in the speed of the object with the variation of the time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of the acceleration can be m / sec², miles / sec², etc.
Given that a car accelerates along a straight road, which is 15km long. The car reaches a speed of 75 km/h in 10s.
The acceleration will be calculated as below:-
Acceleration = Velocity / Time
Velocity = 75 km / h = 75 x ( 5 / 18 ) = 20.83 m / s
Acceleration = Velocity / Time
Acceleration = 20.83 / 10 = 2.08 or 2.1 m / s²
Therefore, the acceleration will be 2.1 meters per second. The correct option is A.
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Please help me!! Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23).
Answer:
[tex]\displaystyle y = -6x + 5[/tex]
Where ? = -6.
Step-by-step explanation:
We want to find the equation of a line that is perpendicular to:
[tex]\displaystyle y = \frac{1}{6} x + 3[/tex]
And contains the point (-3, 23).
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
The negative reciprocal of 1/6 is -6. Hence, the slope of the perpendicular line is -6.
We are also given that it passes through the point (-3, 23). Since we know the slope and a point, we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]
Substitute:
[tex]\displaystyle y - (23) = -6(x - (-3))[/tex]
Simplify:
[tex]\displaystyle y - 23 = -6 (x+3)[/tex]
Distribute:
[tex]\displaystyle y - 23 = -6x - 18[/tex]
And add. Hence:
[tex]\displaystyle y = -6x + 5[/tex]
In conclusion, our equation is:
[tex]\displaystyle y = -6x + 5[/tex]
Where ? = -6.
plssssssssssssss help
[tex]\frac{8}{5}[/tex] Converted to decimal is 1.6
Answer:
The final model from the Example is shown.
Draw a line around the part of the model that
represents 1 square yard.
Please help thank you
Answer:
Can anyone check out my page and answer my question??
Step-by-step explanation:
.
The area of the given model is 4/6 square yards.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
From the given figure, length of a rectangle is 4/3 yards and the width is 1/2 yards.
Here, area of a model is 4/3 × 1/2
= 4/6 square yards
Therefore, the area of the given model is 4/6 square yards.
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