Answer:
y hat = 2114.20 + 18.96x
Step-by-step explanation:
Given the least square regression model equation:
y hat = -959.00 + 8.60x
weld diameter x ; shear strength y (in pounds)
1 lb = 0.4536 kg
To express shear strength y in kilogram:
y is multiplied by 0.4536
(y hat × 0.4536) = -959.00 + 8.60x
Divide both sides by 0.4536
(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536
y hat = 2114.1975 + 18.959435x
y hat = 2114.20 + 18.96x
The equation of the least-squares line when y is expressed in kilograms is y = 2114.20 + 18.96x.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more two variables.
The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern.
The least-squares line is [tex]\rm y = -959.00 + 8.60x[/tex]. Because [tex]\rm 1\ lb = 0.4536 \ kg[/tex] the strength observations can be re-expressed in kilograms through multiplication by this conversion factor:
New [tex]\rm y = 0.4536 (old \ y)[/tex].
y is multiplied by 0.4536, then we have
[tex]\rm y \times 0.4536 = -959.00 + 8.60x[/tex]
Then divide both sides by 0.4536, then we have
[tex]\rm y = \dfrac{-959.00 + 8.60x}{0.4536}\\\\\\\rm y =2114.20+ 18.96 x[/tex]
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there are 450 children in a school, to the nearest 10. How many children could there be ?
Answer: 450- the answer is already rounded.
Answer:
Anywhere from 446 to 454 children.
446 rounded to nearest ten is 450.
447 rounded to nearest ten is 450.
448 rounded to nearest ten is 450.
449 rounded to nearest ten is 450.
450 rounded to nearest ten is 450.
451 rounded to nearest ten is 450.
452 rounded to nearest ten is 450.
453 rounded to nearest ten is 450.
454 rounded to nearest ten is 450.
So the answer is 446 - 454 children. Hope it helps!
(7 3 points) Consider a packet stream whereby packets arrive according to a Poisson process with rate 10 packets/s. If the interarrival time between any two successive packets is less than the transmission time of the first, the two packets are said to collide. Find the probability that a packet collides with either its predecessor or its successor assuming that all packets have a transmission time of 20 ms. How will your answer change if the packets have independent, exponentially distributed transmission times
Answer:
The answer is below
Step-by-step explanation:
Let t1 be the arrival times between a packet and its immediate predecessor and t2 be the arrival times between a packet and successor. Let L1 be the lengths of the predecessor packet and L2 the length of the packet itself. Therefore:
P(no collision between packet and predecessor or successor) = [tex]P(t_1>L_1)P(t_2>L_2)[/tex]
If P1 is the probability that there is no collision with preceding packets, hence:
P(no collision with other packets) = [tex]P_1*P(t_2>L_2)[/tex]
λ = 10 packets/s, fixed packet length = 20 ms = 0.02 s. Hence:
[tex]P(t_1>L_1)=P(t_2>L_2)=e^{-\lambda *0.02}=e^{-10*0.02}=e^{-0.2}[/tex]
P(no collision between packet and predecessor or successor) = [tex]P(t_1>L_1)P(t_2>L_2)[/tex] = [tex]e^{-0.2}*e^{-0.2}=e^{-0.4}[/tex]
P(packet collides with either its predecessor or its successor) = 1 - P(no collision between packet and predecessor or successor) = [tex]1-e^{-0.4}=0.33[/tex]
If the transmission times change, the answer would also change.
what percent is 346 of 385?
Please help. How do I figure out the answer to this problem?
Two Angles are supplementary the larger angle is 78 degrees larger than the smaller angle find the measure of both angles.
Answer:
51,129
Step-by-step explanation:
x+x+78=180(supplementary angles are 180)
2x+78=180
2x= 102
x= 51
x+78 = 129
What are the solutions of 2x2 + 16x + 50 = 0?
−4 ± i
−4 ± 3i
−2 ± 4i
−3 ± 4i
Answer:
-3 plus or minus 4i (the last one)
Step-by-step explanation:
Josiah can jog 3 miles in 20 minutes. Find his average in miles
Answer:
6.666 minutes or 6 minutes and 40 seconds
Step-by-step explanation:
20/ 3 = 6.66...
The total time divided by the number of miles equals the average mile time.
Hope this helps! Have a great day or night (wherever you are)! : )
Determine whether each function is even, odd, or neither.
F(x)=√x^2 -9
g(x) = |x-3|
F(x)=x/x^2 -1
g(x) = x + x²
Answer: even, neither, odd, neither
Step-by-step explanation:
Will mark the brainliest for this answer!!! Really struggling!
Answer:
5 gallons of the 10% fructose solution.
15 gallons of 20% fructose solution
Step-by-step explanation:
You basically have an equation
Some amount of 10% solutions and some amount of 20% are to be combined to get to 17.5
So we can label those two amounts x and y, x being 10% and y being 20%.
We know that x + y (in gallons) must be equal to 20 gallons, so we can do this
x+y = 20
y = 20-x.
Then we can multiply x by 10% = 0.1x, 20-x by 20% which makes 4-0.2x
Then we know that the end result must be 20 gallons of 17.5% so we can multiply those two to get 3.5
Then we can add all of our results.
0.1x + 4 - 0.2x = 3.5
Solve for x
-0.1x = -0.5
x = 5
Now we have what x is, so we now know that there was 5 gallons of the 10% fructose solution.
Then we know that y = 20 - x so y is equal to 20 - 5 which is 15.
So that means that 15 gallons of 20% fructose solution was used.
So the answer is
5 gallons of the 10% fructose solution.
15 gallons of 20% fructose solution.
Hope this helped.
i'll give brainlest if u can answer this question
1+1=?
Answer:
11
Step-by-step explanation:
LOL
Answer:
2
Step-by-step explanation:
ILL MARK BRAINLIEST !!!!!
which system of linear inequalities is represented by the graph?
a) y ≥ 1/3x + 3 and 3x - y > 2
b) y ≥ 1/3x + 3 and 3x - y > 2
c) y ≥ 1/3x + 3 and 3x + y > 2
d) y ≥ 1/3x + 3 and 2x - y > 2
Answer:
A and B look identical, so perhaps there was a typo?
The equations are:
[tex]y\geq1/3x+3[/tex]
[tex]3x-y>2[/tex]
Step-by-step explanation:
To find the system of linear inequalities represented by the graph, we need to find the equation of each line.
Red Line:
To find the equation of the red line, we need to first find the slope and the y-intercept.
Let's pick two points from the red line. We can use (0, 3) and (3, 4).
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, 3) be (x₁, y₁) and let's let (3, 4) be (x₂, y₂). So, our slope is:
[tex]m=\frac{4-3}{3-0}[/tex]
Subtract:
[tex]m=1/3[/tex]
So, our slope is 1/3.
Note that (0,3) is also our y-intercept. So, our y-intercept is y=3.
Now, we can use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
Substitute 1/3 for m and 3 for b. This yields:
[tex]y=1/3x+3[/tex]
Now, we need to determine which sign to use.
Note that the red line is not dotted, meaning we need "or equal to."
Also, note that the shaded region is above our line. In other words, y must be greater than our equation.
So, our sign is "greater than or equal to."
This, the red inequality is represented by the equation:
[tex]y\geq1/3x+3[/tex]
Blue Line:
Again, let's first find the slope and the y-intercept.
We can use the points (0, -2) and (1,1). Let (0,-2) be (x₁, y₁) and let's let (1, 1) be (x₂, y₂). Substitute them into the slope formula:
[tex]m=\frac{1-(-2)}{1-0}[/tex]
Evaluate:
[tex]m=3/1=3[/tex]
So, our slope is 3.
(0, -2) is also our y-intercept. So, our y-intercept is y=-2.
Again, we can use the slope-intercept form:
[tex]y=mx+b[/tex]
Substitute 3 for m and -2 for b:
[tex]y=3x-2[/tex]
Now, we need to find our inequality sign.
Notice that the line is dotted. So, we won't have any "or equal to."
Also, notice that our shaded region is below our line. Thus, y is less than our equation. Therefore:
[tex]y<3x-2[/tex]
However, all of our choices are in standard form. So, we need to convert this to standard form.
To do so, subtract 3x from both sides:
[tex]-3x+y<-2[/tex]
The first term is traditionally positive. So, multiply both sides by -1. Since we're multiplying by a negative, flip the inequality sign:
[tex]3x-y>2[/tex]
We can see that the answer choice that matches this is A (or B?)
And we're done!
Answer: A and B are identical so pick one of them
Step-by-step explanation:
the range of the following relation R {(3, -2), (1,2), (-1,-1), (-1,2)} is
The range is the set of all possible y values. So we just list the y coordinates of each point. We only list each unique one ignoring any duplicates.
Answer:
Range:{ -2, -1,2}
Step-by-step explanation:
The range is the output values
They are normally put in order from smallest to largest
Range:{ -2, -1,2}
A die with 7 sides is rolled once. What is the probability that the upward face shows a 6?
The probability of the die rolling a 6 is '1 in 7' or 14% as there are 7 sides all with an equal chance of landing on that number.
Hope this helps!
264 divided by 8. Check Time 8
Answer:
33.
Step-by-step explanation:
What does the check time part mean?
If Ms. Little has 4 pizzas and 10 friends, how much pizza would each friend get?
Answer:
2.5 of the pizza
Step-by-step explanation:
Plz give brainliest
Itz the crown under this answer
Answer:
2.5 slices
Step-by-step explanation:
You do 10 ÷ 4 and that equals 2.5
How many different ways can the letters of "barrette" be arranged?
Answer:
5040
Step-by-step explanation:
8!/(2!x2!x2!)
8 letters in the word / 2r's 2e's 2t's
The number of ways in which the letters can be arrange is 5,040 ways.
The given letters include;
BARRETTE
The numbers of the individual letters repeated include;
letter R = 2letter E = 2letter T = 2Total number of all the letters = 8
The number of ways in which the letters can be arrange will be determined using factorial method as shown below;
[tex]number \ of \ ways = \frac{8!}{2! \times 2! \times 2!} = \frac{40320}{8} = 5,040 \ ways[/tex]
Thus, the number of ways in which the letters can be arrange is 5,040 ways.
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Okay so I’m taking a math test and it says 2 plus 2
Answer:
5 it's easy yshsghsjssjhebdhdhd
Answer:
so do 2+2 = 4.......................
2y - 8y = 12 - 8y I need help plz hurry
awenser is -4 :)))))))))))))))))))))))))))))
Answer:
Y=6
Step-by-step explanation:
2y-8y=12-8y
-6y=12-8y
-6y+8y=12
2y=12
Divide by 2
Y=2
Is the answer right
A change purse contains an equal number of pennies, nickels, and dimes. The total value of the coins is 208
cents. How many coins of each type does the purse contain?
Please help.
Answer:
x= 14
Step-by-step explanation:
x + 5x +10x = 224 CENTS
solving for x
16x = 224
x = 14, the number of each coin there is
5 The cost of an adult's ticket into a theme park is $a.
The cost of a child's ticket into the same theme park is $c.
Write an expression for the total cost for each groun.
Answer:
Total Cost (in dollars) = a + c
Step-by-step explanation:
Algebra
When mathematics quantities are generalized into letters or variables, then we are dealing with algebra.
We are said the cost of an adult's ticket into a theme park is $a and a child's ticket costs $c. Since both quantities are unknown, we must treat them as variables and use the same logic procedure to solve the problem as if they were numbers.
The total cost for an adult and a child is the sum of both individual costs, thus
Total Cost (in dollars) = a + c
in a standard deck of t2 playing cards, there are 4 aces, 4 kings, 4 queens, and 4 Jacks. All other cards have number values. the kings, queens, and Jack's are called face cards. You are dealt 2 cards in sequence. Calculate the probability of being dealt 2 face cards. write your answer as a decimal to the nearest hundredth
=======================================================
Explanation:
There are 12 face cards (4 kings+4 queens + 4 jacks) out of 52 total.
The probability of getting one face card is 12/52 = 3/13
After a face card is dealt, we have 12-1 = 11 face cards left out of 52-1 = 51 total. The probability of getting another face card is 11/51.
Multiply the fractions found. Use a calculator.
(3/13)*(11/51) = 0.04977
This rounds to 0.05 when rounding to two decimal places (nearest hundredth)
Note: this assumes you do not put the first card back or replace the first card with an equivalent card.
A lock has a code of 3 numbers between 1 and 25. If no numbers in the code are allowed to repeat, how many different codes could be made?
The number of different codes is 192.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
The formula for combination is [tex]^nC_r[/tex] = n! / r! (n -r)!
Now,
Total numbers = 25
n = 25
Required numbers of code = 3
Now,
The number of different codes.
= [tex]^{25}C_3[/tex]
= 25! / 3! (25 - 3)!
= 25 x 24 x 23! / 3 x 2 x 23!
= 25 x 24 / 3 x 2
= 24 x 8
= 192
Thus,
The number of different codes is 192.
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Expand and combine like terms. (7b^5-4b)(7b^5+4b)=
Answer:
49b^10 -16b^2
Step-by-step explanation:
(7b^5)^2 -(4b)^2=
49b^10 - (4b)^2=
49b^10 - 16b^2
The given expression is equivalent to 49b¹⁰ - 16b².
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
(7b⁵ - 4b) (7b⁵ + 4b)
We have to expand this.
(7b⁵ - 4b) (7b⁵ + 4b) = (7b⁵ × 7b⁵) - (4b × 7b⁵) + (4b × 7b⁵) - (4b × 4b)
= 49b¹⁰ - 28b⁶ + 28b⁶ - 16b²
= 49b¹⁰ - 16b²
Hence the given expression is equivalent to 49b¹⁰ - 16b².
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Which of the following properties was used in the expression shown here?
3+ (x - 4) = (3 + x) - 4
A. Commutative Property
B. Distributive Property
C. Associative Property
Answer:
C. Associative Property
Step-by-step explanation:
Select the correct answer. Ronnie took a survey of eight of his classmates about the number of siblings they have and the number of pets they have. A table of his results is below.
Answer:
B a relation
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
HELP PLEASE!! ILL MARK BRAINIEST FOR THE CORRECT ANSWER
The Transportation Department is planning a new section of interstate highway. For planning purposes, they are using a diagram with a scale 0.5 in : 10 mi. If the diagram shows the highway section to be 37 inches long, how long will the road actually be?
Answer:
The answer is 740.
Step-by-step explanation:
10/0.5 = 20
37*20=740
b. You have been offered an entry-level position as an account with a starting salary of $47,500. Do you think this is a fair salary offer? Why
or why not?
A student was given lines m and n and was asked to construct a line parallel to n through point B. The illustration shows the initial condition and the student’s partially finished construction. All of the arcs in the illustration were constructed with the compass set at the same setting. Which step should the student perform next to complete the construction?
A. Construct an arc with center E crossing the other arc with center B.
B. Construct an arc with center C crossing the arc with center B.
C. Reset the compass to the distance BE.
D. Reset the compass to the distance CD.
Answer:
Reset the compass to CD is the correct anwser
Step-by-step explanation:
Parallel lines are simply lines that do not meet.
The step the student should perform next is (d) Reset the compass to CD
The steps in drawing a parallel line through a point, involves copying an angle from its original position to the parallel line that is to be drawn.
From the given figure, the angle to be copied is [tex]\angle DAC[/tex].
The student must set the compass at the endpoints of arc DC to get the measure of [tex]\angle DAC[/tex].
The endpoints of arc DC are points D and C
Hence, the next step to be taken by the student is option (c).
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3/128 as a percentage
Answer:
2.34375%
Step-by-step explanation:
The function h is defined by the following rule.
h(x) = 2x-3
Complete the function table.
х
4
0
- 2
2
3
5
Sarah earned $73.50 Babysitting. She charges $3.50 per hour. We many hours did Saran baby-sit
