Answer:
11.2
Step-by-step explanation:
We can use the pythagorean theorem to find b.
the formula is as follows:
a^2 + b^2 = c^2
We are given a is 10 and c is 15, so we can plug those two numbers in:
10^2 + b^2 = 15^2
Now, we can simplify and solve:
100 + b^2 = 225
b^2 = 125
b = √125
√125 is about 11.1803398875, and to the nearest tenth, this rounds to:
11.2
Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at their plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected.
Line Speed Number of Defective Parts Found
20 23
20 21
30 19
30 16
40 15
40 17
50 14
50 11
Required:
a. Use the least squares method to develop the estimated regression equation (to 1 decimal).
b. Predict the number of defective parts found for a line speed of 25 feet per minute.
Answer:
a. y = 27.5 - 0.3X
b. 20
Step-by-step explanation:
y = a + bX
usin the table in the attachment i added, we so for the regression equaion
n = 8
∑xy = 4460
∑x = 280
∑y = 136
∑x²= 10800
[tex]b=\frac{8(4460)-(280)(136)}{8(10800)-280^{2} } \\b=\frac{35680-38080}{86400-78400} \\b=\frac{-2400}{8000} \\b = -0.3[/tex]
from here we solve for a
[tex]a= \frac{136-(-0.3)(280)}{8} \\a =\frac{136+84}{8} \\a=\frac{220}{8} \\a = 27.5[/tex]
a. the estimated regression equation
y = 27.5 - 0.3X
b. at x = 25
y = 27.5 - 0.3(25)
y = 20 is the number of defective parts.
How many solutions are on this graph?
Answer:
There are three intersections on the graph, therefore there are three solutions to the system
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
the 3 places the lines cross are solutions
A data set is made up of the values 5, 6, 9, 12, and 18.
The table shows the distance between each value and the mean of 10.
Answer:
A. 4
Step-by-step explanation:
To find the Mean Absolute Deviation (MAD) of a data, the following steps are usually taken:
1. Find the mean
2. Find the distance between each data value and the mean
3. Find the sum of the distances
4. Divide the sum of the distances by the number of data value given
Step 1 to 3 has been solved already from the table given.
The sum of the distances = 20
number of data value = 5
Therefore,
MAD = 20/5 = 4
Using the following list of data, which statement is true?
Answer:
Range>Mean
Step-by-step explanation:
Range: find the largest(100) subtract lowest(50)=50
Mean: add all the numbers (790), then divide how many numbers there are(10)= 79
50>79
Hope this helps plz like and brainly :D
Much would be appreciated <3
Determine the correct set up for solving the equation using the quadratic formula.
Answer: B
Begin by simplifying the given equation, so it's rearranged into standard form. Move all the terms onto one side, so they equal 0. This would result with [tex]4x^{2}[/tex]-3x-9=0. Quadratic formula is (-b±√(b²-4ac))/(2a). Standard form follow this variable format: [tex]ax^{2}[/tex]+bx+c. Use the numbers that correspond with each variable to substitute them into the quadratic formula. This would be
(-(-3)±√(-3²-4(4)(-9)/2(4).
Question: 33 of 39 Lesson 17
Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
tan θ = 0.7536
Hypotenuse = 29 miles
Opposite side = ?
Choice 'A' opp = 13.7 miles
Choice 'B' opp = 15.2 miles
Choice 'C' opp = 12.4 miles
Choice 'D' opp = 17.5 miles
Answer:
17.5 miles
Step-by-step explanation:
right!!
Q:write the equation of the line that is given slope an y-intercept?
Slope=Undefined y-intercept= -4
[tex]y = mx + b[/tex]
Answer:
y = mx - 4
Step-by-step explanation:
m is the slope, while -4 is the y intercept
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the trinomials with their factors.
a2 + a − 20
a2 − 9a + 20
a2 − 8a − 20
a2 − 12a + 20
a2 − 19a − 20
Factors
Trinomials
(a − 4)(a − 5)
arrowRight
(a − 10)(a − 2)
arrowRight
(a − 4)(a + 5)
arrowRight
(a − 10)(a + 2)
arrowRight
Answer:
2with1
4with2
1with3
3wth4
Using the Binomial distribution,
If n=10 and p=0.3, find P(x=4)
Answer:
P(x=4)
Step-by-step explanation:
0.3(10=4)
what is the question. Wrong question asked.
What are the coordinates of the image rectangle for a scale factor of 3 if the center of dilation is the origin?
This doesn’t have a rectangle picture btw
I will mark brainlist
Answer: Choice B)
Explanation:
You mentioned there isn't a diagram to go with this, but I'm assuming that this problem is referring to a previous problem you posted. In that problem, it mentions that point W is at (1,-2). If we apply the scale factor 3, then we're tripling each coordinate. That means x = 1 becomes x = 3, and y = -2 becomes y = -6
We can write it like this:
(1,-2) ---> 3*(1, -2) = (3*1, 3*(-2) ) = (3, -6)
Only choice B has W'(3,-6) so this is likely the final answer.
If we apply this dilation to every point, then that effectively makes quadrilateral W'X'Y'Z' to be three times longer and taller than compared to quadrilateral WXYZ. In other words, its side lengths are 3 times longer.
In the construction of bridges, engineers use a formula to help
determine the allowable stress on a bridge rocker, a component of the
bridge that handles the stress and weight placed on the pavement of the
bridge. The engineers use the formula F =11/300d (F − 13), where F is the
strength of the steel in kilopound per square inch and d is the diameter
of the rocker in millimeters.
Solve the formula F =11/300d (F − 13) for d.
From the engineers formula given, making d the subject of the formula gives us; d = 300F/(11(F - 13))
How to change the subject of the formula?
We are given the engineers formula as;
F = (¹¹/₃₀₀)d(F - 13)
Where;
F is the strength of the steel in kilopound per square inch.
d is the diameter of the rocker in millimeters.
From the given formula, we can start by;
Multiply both sides by 300 to get;
300F = 11d(F - 13)
Divide both sides by 11(F - 13) to get;
d = 300F/(11(F - 13))
Read more about Subject of Formula at; https://brainly.com/question/10643782
#SPJ1
To make a solution for an experiment, Gunther needs to add 40 g of a solute to 100 g of water. When making the
solution at room temperature, he could only add 34 grams before the solute settled out.
What could he do to dissolve the remaining 6 grams of the solute?
Put the solution in an ice bath, dissolve the solute, and let the solution return to room temperature.
O Heat the solution, dissolve the solute, and let the solution cool verifying nothing settled out.
O Add more water, boil the solution, and dissolve the solute until the some of the water evaporates.
O Keep the solution at room temperature, add more water, and dissolve the excess solute.
Answer:
Heat the solution, dissolve the solute, and let the solution cool verifying nothing settled....(B)
Step-by-step explanation:
hope this helps
Gunther could dissolve the remaining 6g by heating the solution to dissolve the solute, and let the solution cool verifying nothing settled out.
Solubility of a substance refers to the amount of the substance that dissolves in a given amount of water. The most important factor that affects solubility is the temperature of the system. When the temperature is increased, more solute can be dissolved in the solvent.
Since Gunther needs to add 40 g of a solute to 100 g of water but only 34 grams were added before the solute settled out at room temperature. He could dissolve the remaining 6g by heating the solution to dissolve the solute, and let the solution cool verifying nothing settled out.
Learn more: https://brainly.com/question/5147266
I’ll mark brainlist :)
NO LINKSSSSS
Which graph represents the solution to 1/7 m < - 1/22
The graph representing the solution will be of the form a line tending towards left from the point -7/22.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Here the given inequality is less than inequality.
1/7 m < -1/22
Dividing both sides by 1/7, we get,
m < -1/22 ÷ 1/7
m < -1/22 × 7/1
m < -7/22
Hence the graph of the solution will be of the form a straight line tending leftwards from -7/22.
Hence the graph of the given inequality is a straight line tending leftwards from -7/22.
Learn more about Inequalities here :
https://brainly.com/question/19526736
#SPJ1
Name the image of p (9, 1.5) after being translated along the vector <3, -0.5>
The image for P(9, 1.5) after Translation is P'( 12, 1).
What is Translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .
Given:
P(9, 1.5) with Translating Vector (3, -0.5).
So, Applying the Translation we get
P(9 + 3, 1.5 + (-0.5))
= P(12 , 1.5- 0.5)
= P(12, 1)
hence, the image is P'( 12, 1).
Learn more about translation here:
https://brainly.com/question/12463306
#SPJ1
find the square root of 3.6 upto 2 decimal places
Complete table with the Y-values for the equation y=ײ+1
The complete table of values of the function is
x 0 1 2 3
y 0 2 5 10
How to complete the table of values of the function?From the question, we have the following parameters that can be used in our computation:
The equation of the function is given as
y = x² + 1
The above function is a quadratic function
This is so because it has the following representation
y = ax² + bx + c
When this function is compared to the equation y = x² + 1, we have the following notations
a = 1
b = 0
c = 1
From the incomplete table of values, we have the x values to be
x = 1, 2, 3
Substitute x = 1, 2, 3 in the equation y = x² + 1
So, we have
When x = 1, y = (1)² + 1 = 2
When x = 2, y = (2)² + 1 = 5
When x = 3, y = (3)² + 1 = 10
When these values are represented on a table, we have
x 0 1 2 3
y 0 2 5 10
The above represents the complete table
Read more about functions at
brainly.com/question/28277110
#SPJ1
Complete question
Complete table with the Y-values for the equation y=ײ+1
x 0 1 2 3
y 0
i will give Brainiest if you are right
Answer:
H is the answer because 15/32 is the largest so it is in the back
Answer:
J. [tex]\frac{9}{32}, \frac{5}{16},\frac{3}{8},\frac{7}{16},\frac{15}{32},\frac{1}{2}[/tex]
Step-by-step explanation:
7/16 = .4375
1/2 = .5
3/8 = .375
9/32 = .28125
5/16 = .3125
15/32 = .46875
stock splits will not..
Answer:
Thank you for the points...
Step-by-step explanation:
If I deposit $100,000 in a retirement account that gives 8 % paid annually, what will be balance after 25 years?
Answer:
$300,000
Step-by-step explanation:
To find 8% of 100,000 all you need to do is multiply 100,000 by .08.
100,000 (.08) = 8,000
The 8,000 accounts for one year, so now you have to multiply 8,000 by 25.
8,000 (25) = 200,000
Now add the initial amount to the additional 200,00 that will be paid to the retirement account.
100,000 + 200,000 = 300,000
The answer is $300,000.
Can someone please help
please answer in full process question
In the given figure l ||m and p || q. Find the measure of angles √1,2,3,4
Step-by-step explanation:
angle 1=68°
angle 3 = 68°
angle 2= 180-68= 112°
angle 4 = 180-68= 112°
What are the coordinates of D' when the quadrilateral is reflected across the line y = X?
Answer:
[tex]D' = (1,3)[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find D'
From the attachment, we have:
[tex]D = (3,1)[/tex]
When reflected across y = x.
The rule is:
[tex](x,y) \ to (y,x)[/tex]
So, if [tex]D = (3,1)[/tex]
Then:
[tex]D' = (1,3)[/tex]
PLS HELP!!!!!
1.4(3x+0.5)=1/3(6x+2.7)
I WILL GIVE BRAINLIEST
NOT ACCEPTING LINKS
Answer:
x= 1/11
hope this helps someway
Can y’all help me on question 15?!
Answer:
J = 33
Step-by-step explanation:
43 - 2k = 33
43 - 10 = 33
33 = 33
One square is shaded. Translate the shaded square 3 units left and 2 units down.
Click on the square to shade it.
A B C
E F G H
J K L M
NO P
Q
help no links u will get BRAINLIEST
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
The correct correct answer is box J
If a < b, c > b, d > c, and c < e < d, order the letters from least to greatest
The order of a,b,c,d,e from least to greatest is a<b<c<e<d.
What is order of numbers?Order is basically a series which contains a particular operation like addition, subtraction, multiplication,division and size of numbers may be from greater to least and least to greater numbers.
How to arrange a order?We have been given a<b,c>b,d>c, and c<e<d and we have to order the letter from least to greatest.
a is greater than b, c is greater than b so a is also lesser than c. So,a<b<c will be order of a,b and c. Now we include d in the order. because c is greater than a and b but less than d so the order increases as under:
a<b<c<d. e lies between c and d so we will write e in between c and d in order. Final order will be a<b<c<e<d.
Hence the order of a,b,c,d,e from least to greatest is a<b<c<d<e.
Learn more about order of numbers at https://brainly.com/question/155227
#SPJ2
In Mrs. Austin's science class, 37.5% of the students have compleated their science project. Of the remaining students, 40% have compleated only half of their science project. If there are 32 students in Mrs. Austin's science class, how many of these students have compleated half of their science project?
well, we know that 37.5% have finished it, that leaves unaccounted for 100% - 37.5% = 62.5%.
now, of those 62.5% fellows only 40% have finished only half of it, how many are those?
well, what's 62.5% of 32? what's 40% of that much?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{62.5\% of 32}}{\left( \cfrac{62.5}{100} \right)32}\implies 20 ~\hfill \stackrel{\textit{40\% of 20}}{\left( \cfrac{40}{100} \right)20}\implies \text{\LARGE 8}[/tex]
Pls help me I will mark is your right :)
What happens when you combine -3x+2x