(sorry for login question pls help )
Fit Data to a line
When using empirical data ( data and information collected by scientists in an experiment ), sometimes, that data will not form a perfect line on a graph. when this happens, the line that is created using a linear regression is known as the " line of best fit " the following speed data was collected from a car moving with a constant acceleration.
1 - what is the line of best fit for this data? perform a linear regression on this table to find the equation .
2 - based on your equation, what was the car's approximate initial velocity (at time = 0) ?
3 - if the car continued at the same acceleration (meaning the slope of the line does not change), how fast would it be going in 15 seconds ?
Answers
Using a linear regression calculator, the best fit line, initial velocity and the velocity of the car after 15 seconds is :
y = 3.64x + 5.7 Initial Velocity = 5.7 m/s Velocity after 15 seconds = 60.3 m/sUsing technology, the linear regression equation obtained by fitting the data is :
y = 3.64x + 5.7x = times(seconds) ; y = velocity(m/s)The approximate velocity at time = 0 ; x = 0 :
y = 3.64(0) + 5.7
y = 0 + 5.7
y = 5.7 m/s
3.) Velocity after 15 seconds :
At time, x = 15 seconds
y = 3.64(15) + 5.7
y = 60.3 m/s
Therefore, the velocity of the car after 15 seconds is 60.3 m/s
Learn more :https://brainly.com/question/18405415
Related Questions
Find the area of a raised vegetable bed having a length of 2 yd and a width of
7/10
yd.
Answers
Answer:
1.4 or 1 2/5
Step-by-step explanation:
2yd x 7/10 yd = 7/5 yds or 1.4 yds
Can someone explain to me on how you do this because the answer that I got was 15/17 but then I re read it again and it says to find the VALUE of the PRODUCT so I don’t really understand it. Please show work too
Answers
Answer:
[tex] \frac{3}{15 } [/tex]
Answer the question in the pic pls
Answers
√4 + 6(5)
freè pôints
for you you you etc.
Answers
Answer:
askfjheifljblgjsljclakjksfjkljvkldskmjfmvalkgjbjdfkblrgjlskgskjd
Step-by-step explanation:
levjnlakqdhlwjfidfkjblksmnewkfdilbkmcjjeoibjkdl
The sum of three numbers is 28,542.two of the numbers are 10,350, and 9,750. Find the third number.
Answers
◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦
[tex]HELLO! :)[/tex]
28,542-10,350-9,750=8,442So the third number is 8,442Hope this helps! :)[tex]GraceRosalia[/tex]help ASAP each runner in a 4 4/5 mile race runs 4/5 of a mile find the number o runners on a relay team
Answers
Answer:
The Answer to your question would be 6 total runners on your relay team
1. A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form. Show your work for full credit. (Show how you went from those two points to having the equation in point-slope form?) Circle your answer (4 points)
Answers
m = y2-y1/x2-x1
m = -6 - 5/2-4
m = -11/-2
m = 11/2
2. Write equation with know information
y = mx + b
y = 11/2x + b
3. Choose any of the two points (doesn’t matter which in you choose) and replace the x and y value into the equation
y = 11/2x + b (4,5)
5 = 11/2(4) + b
5 = 22 + b
Use algebra and solve for b
5 - 22 = b
b = -17
State all the information you know
m = 11/2 b = -17
Write the equation
y = 11/2x - 17
At the calendar shop, wall calendars cost $7 and desk calendars cost $8. Dylan spent $183 to
buy 24 calendars. How many of each type of calendar did Dylan buy?
Answers
Answer:
12 wall and 12 desk calendars
Step-by-step explanation:
24 divide by 2
help please, what is the ANSWER?
Answers
Answer:
y
0
-1/2
-1
-3/2
-2
Step-by-step explanation:
y=(-1/2) *(-2)- 1 =(-) (-) (1*2)/2-1= 2/2-1 = 1-1 =0
The ratio of red poms to yellow poms on a float is 5 to 7. If there are 392 yellow poms, on the float, how many red poms are there?
A. 549
B. 390
C. 280
D. 56
Answers
Answer:
C. 280 Red Poems
Step-by-step explanation:
5 : 7= x : 392
5/7 = x/392
x = 5*392/7
x = 5 * 56
x = 280 red poems
A coin is tossed 12 times. What is the probability of obtaining five heads and seven tails?
Answers
Answer:
99/512 = 0.193359375
Step-by-step explanation:
Each sequence of 5 H's and 7 T's has probability of occurring equal to 1/2^12 (1 divided by 2 to the twelfth power).
Since the number of 5 H, 7 T sequences is equal to C(12,5) = the number of combinations of 12 things taken 5 at a time =
12 * 11 * 10 * 9 * 5 / (5 * 4 * 3 * 2 * 1) =
792,
we have that the probability of obtaining 5 H's and 7 T's =
the sum of the probabilities of all of the sequences =
1/2^12 + 1/2^12 + 1/2^12 + . . . + 1/2^12, 792 times =
792(1/2^12) =
99 / 2^9 =
99 /512 =
0.193359375
what is the LCD of 9/10 and 3/5
Answers
Answer: 10
Step-by-step explanation:
9/10 = 9/10
3/5 = 6/10
Least common denominator right?
Three different sizes of sports-drinks mix are shown with their prices. Can the relationship between price and volume (in grams) be described by a constant rate? Explain
Answers
Answer:
No; the unit rate of price ($) per volume (g) is not equal for all the sizes.
Step-by-step explanation:
What is the area of my lawn if it measures 6m x 5.2m?
Answers
Answer:
31.2 m²Step-by-step explanation:
Area of Rectangle = (a × b) square units.
so
6 * 5.2 =
31.2 m²
Which number line shows the solution to −4 − (−1)?
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to 4 is shown. Above this, another arrow pointing from 4 to 5 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from 0 to 4 is shown. Above this, another arrow pointing from 4 to 3 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 5 to 0 to positive 5. There are increments of 1 on either side of the number line. All the numbers are labeled on either side of the number line. An arrow pointing from
Answers
Answer:
B a number line is shown from negative 5 to 0 to positive 5.
Baking a loaf of banana bread takes 2 cups of flour and 1 cup of sugar. A loaf of
pumpkin bread takes 3 cups of flour and 2 cups of sugar. A baker has 30 cups of flour
and 16 cups of sugar to use. She makes $2.50 profit per loaf of banana bread and
$4.00 profit per loaf of pumpkin bread. How many loaves of each type of bread should
the baker make to maximize her profit?
Answers
Answer:
I assume it would be 15 loves of banana bread.
Step-by-step explanation:
if you do 8 loves of pumpkin bread, you get $24 profit.
If you do 15 loves of banana bread, you get $37.50 in profit.
To maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.
What is linear inequality?" Linear inequalities are defined as algebraic expression which are related with the sign of inequality."
According to the question,
'x' represents the number of loaves of banana bread
'y' represents the number of loaves of pumpkin bread
As per the given condition,
Total profit on making bread [tex]'P' = 2.50x + 4.00y[/tex] ____(1)
Linear inequalities are
[tex]2x + 3y\leq 30\\\\x+ 2y \leq 16[/tex]
By solving linear inequalities we get,
[tex]x= 12\\ \\y =2[/tex]
As shown in the diagram drawn , point of intersection is (12,2) for the given inequality.
Substitute the value of 'x' and 'y' in (1) to get the maximize profit ,
Maximize profit ' P' [tex]= 2.50(12) + 4 (2)[/tex]
[tex]= 30 + 8\\= \$38[/tex]
Hence, to maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.
Learn more about profit here
https://brainly.com/question/11897796
#SPJ2
What is the solution to (x – 5)(2x + 1)(x – 7) > 0?
BRAINLIESTTT!!!!
Answers
If any of the terms is 0 it makes the whole equation 0. Because we know anything multiplied by 0 is 0.
0 (B) (C) = 0
(A) 0 (C) = 0
(A) (B) (0) = 0
So we can just set up each of the terms in separate equals in regards to being greater than 0.
x - 5 > 0
5
2x + 1 > 0
-1/2
x - 7 > 0
7
Steven measures the weight of a random sample of 49 basset hounds the mean wait was 45.8 lb with a standard deviation of 3 lb using the alternative hypothesis that Miu is less than 45.8 Steven found a ztest statistic of -1.5 what is the p value of the test statistic
Answers
Answer: 0.067
Step-by-step explanation:
Look at chart, go to the row for the z-column for -1.5 and then the column 0, this value is 0.0668 or 0.067.
The p-value of the test statistic is approximately 0.0668.
Given that,
Steven measured the weight of a random sample of 49 basset hounds.
The mean weight of the sample was 45.8 lbs.
The standard deviation of the sample was 3 lbs.
Steven used an alternative hypothesis that the true mean weight is less than 45.8 lbs.
Steven found the z-test statistic of -1.5.
Based on the information provided,
We can see that Steven has conducted a hypothesis test to determine whether the true mean weight of basset hounds is less than 45.8 pounds.
To calculate the p-value for this test statistic,
Use a standard normal distribution table to determine the area under the curve to the left of the z-score of -1.5.
Using a standard normal distribution table,
Find that the area to the left of -1.5 is approximately 0.0668.
This means that there is a 6.68% chance of getting a sample mean of 45.8 or less assuming that the true population mean is actually 45.8.
Alternatively, we can use a calculator to find the p-value.
Using a calculator, we would input the z-score of -1.5 and the degrees of freedom (which is n-1, or 48 in this case) into the calculator.
This would give us a p-value of approximately 0.0668 as well.
Thus,
The p-value of the test statistic is approximately 0.0668.
To learn more about statistics visit:
https://brainly.com/question/30765535
#SPJ2
Hey can anyone help with this question please and thank you
Answers
589,203 in expanded notation
Answers
Standard Form: 589,203
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form: 589,203
= 500,000 + 80,000 + 9,000 + 200 + 0 + 3
Expanded Factors Form: 589,203
= 5 × 100,000 + 8 × 10,000 + 9 × 1,000 + 2 × 100 + 0 × 10 + 3 × 1
Expanded Exponential Form: 589,203
5 × 105 + 8 × 104 + 9 × 103 + 2 × 102 + 0 × 101 + 3 × 100
Sorry if i was not helpful hope this helps !
Question 7. Every day, Omar put the extra change from his pockets into a glass jar. After 30 weeks, he
3
had saved up $16.00. Omar decided to use of the money from the jar to buy canned food for a
homeless shelter. How much money did Omar spend on canned food?
Answers
Answer:
$16
Step-by-step explanation:
He had $16 so he had spent all of it due to the question asked.
Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which less expensive per pound? How much less expensive?
Answers
Answer:
apricots is less expensive by $2.24
Step-by-step explanation:
21.98÷2=10.99
26.25÷3=8.75
10.99-8.75=2.24
A five-speed bicycle has a chain linking the pedal sprocket to the gears on the rear wheel. The ratio of pedal turns to rear-wheel turns in first gear is 8 to 17. How many times in first gear does the rear wheel turn if the pedals turn 160 times?
Answers
9514 1404 393
Answer:
340
Step-by-step explanation:
Multiply each number in the ratio by 20:
pedal : wheel = 8 : 17 = 160 : 340
The rear wheel turns 340 times when the pedal turns 160 times.
__
Additional comment
As a reasonableness check, realize that 17 is just slightly more than 2 times 8. Then the number of rear wheel turns will be slightly more than 2 times 160.
-0.8654 divided by (-0.24)
Answers
Answer:
3.60583333
Step-by-step explanation:
When we divide -0.8654 with -0.24 it quotient is
3.60583333
A cheetah went 108 miles moving 27 miles per hour. How many hours did the journey take? Show your answer as a decimal. Round to the nearest hundredth
Answers
Answer:
4
Step-by-step explanation:
108/27 = 4
108/27= 4
Find the sum of 31 + 32 +33 + ... + 230.
Answers
Answer:
134
Step-by-step explanation:
find the values of p and q such that 4x^2+12=4(x-p)^2+q
!!!!!
Answers
Answer:i dont know please answer this
Step-by-step explanation:
Find an ordered pair (x, y) that is a solution to the equation.
2x+y=1
Answers
Explanation:
2(0)+1=1
The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 15 in. How long is the third side?
If s represents the length of the second side, which of the following represents the length of the third side?
s - 4
s + 3
s - 1
Answers
3 + s - 4.
3-4 + s = -1 + s or s - 1
So the answer is the third option, s - 1.
If a cat went 600 miles how many feet did it take to get home?
Answers
Answer:
3168000 feet
Step-by-step explanation:
1 mile = 5280 ft