PLS Help While on a strenuous hike, Tara recorded her distance from the peak of the mountain at two different time intervals. The table shows the two pieces of data she collected.
Answers
Answer:
Step-by-step explanation:
Equation of a line representing the relation between distance from the peak of the mountain and time is,
h = mt + b
Here, m = Slope of the line
b = y-intercept
Since, slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table attached,
Slope of the line passing through (2, 2600) and (5, 950) will be,
m = [tex]\frac{2600-950}{2-5}[/tex]
= -550
Therefore, equation of the line will be,
h = -550t + b
Since, point (2, 2600) lies on this line,
2600 = -550(2) + b
b = 2600 + 1100
b = 3700
So, equation of the line will be,
h = -550t + 3700
Input - output values for this line,
t 2 4 6
h 2600 1500 400
Now we can plot these points and get the graph of the line.
Related Questions
An insector found 24 defective cameras during an inspection. If this is 0.016% of the total numbers of cameras inspected. How many cameras were inspected?
Answers
Answer:
150,000.
Step-by-step explanation:
Given that an insector found 24 defective cameras during an inspection and this is 0.016% of the total numbers of cameras inspected, to determine how many cameras were inspected the following calculation must be performed:
0.016 = 24
100 = X
100 x 24 / 0.016 = X
2,400 / 0.016 = X
150,000 = X
Thus, the total number of cameras that were inspected is 150,000.
Some biologists believe the evolution of handedness is linked to complex behaviors such as tool-use. Under this theory, handedness would be genetically passed on from parents to children. That is, left-handed parents would be more likely to have lefthanded children than right-handed parents. An alternate theory asserts that handedness should be random, with left- and right-handedness equally likely. In a recent study using a simple random sample of n  76 right-handed parents, 50 of the children born were right-handed. ( pˆ =0.658 .) Suppose handedness is a random occurrence with either hand equally likely to be dominant, implying that the probability of a right-handed offspring is p =0.50.
Required:
a. Show that it is reasonable to approximate the sampling distribution of p̂ using a normal distribution.
b. Assuming left- and right-handed children are equally likely from right-handed parents, what is the probability of observing a sample proportion of at least p̂ =0.658 ?
Answers
Answer:
a) Since both np >= 5 and n(1-p) >= 5, it is reasonable to approximate the sampling distribution of p^‚ using a normal distribution.
b) 0.5 = 50% probability of observing a sample proportion of at 0.658.
Step-by-step explanation:
a. Show that it is reasonable to approximate the sampling distribution of p̂ using a normal distribution.
We need that:
np >= 5
n(1-p) >= 5
Sample of 76, 50 of the children were born were right-handed.
So [tex]n = 76, p = \frac{50}{76} = 0.658[/tex]
np = 76*0.658 >= 5
n(1-p) = 76*0.342 >= 5
Since both np >= 5 and n(1-p) >= 5, it is reasonable to approximate the sampling distribution of p^‚ using a normal distribution.
b. Assuming left- and right-handed children are equally likely from right-handed parents, what is the probability of observing a sample proportion of at least p̂ =0.658 ?
This is the mean, so 50% below and 50% above.
0.5 = 50% probability of observing a sample proportion of at 0.658.
What number is between 5/2 and the other number In the photo.
Answers
Mrs. Fisk, the art teacher, has 5 pounds of clay. Each of her students need 1/4 pound to complete their current project. How many students can she supply with clay?
Answers
Answer:
20 students
Step-by-step explanation:
During peak growing season, the kudzu vine can grow 6 inches in 12 hours. What is the growth
rate of kudzu in inches per hour?
А 0.25 inches
B
0.5 inches
С
2.0 inches
D
6.0 inches
Answers
Answer:
b
Step-by-step explanation:
Answer:
The answer is B. 0.5 inches.
The value of a house wa shilling 600,000 in 2005.It increased by 25% in 2006 and 10% in 2007 but dropped by 15% in 2007 find its value in 2008
Answers
Given:
The value of a house is 600,000 in 2005.
It increased by 25% in 2006 and 10% in 2007 but dropped by 15% in 2007.
To find:
The value of the house in 2008.
Solution:
We have,
Value of house in 2005 = 600,000
It increased by 25% in 2006.
Value of house in 2006 = [tex]600,000+\dfrac{25}{100}600,000[/tex]
= [tex]600,000+150,000[/tex]
= [tex]750,000[/tex]
It increased by 10% in 2007
Value of house in 2007 = [tex]750,000+\dfrac{10}{100}750,000[/tex]
= [tex]750,000+75,000[/tex]
= [tex]825,000[/tex]
But it dropped by 15% in 2007.
Value of house in 2008 = [tex]825,000-\dfrac{15}{100}825,000[/tex]
= [tex]825,000-123,750[/tex]
= [tex]701,250[/tex]
Therefore, the value of the house in 2008 is 701,250.
hitunglah luas permukaan balok dengan ukuran sebagai berikut
a. 8 cm × 4 cm × 2cm
B. 8 cm × 3 cm × 4 cm
Answers
jawaban
a. = 112 cm²b. = 136 cm²penjelasan langkah demi langkah( step by step explanation )
Total Luas Permukaan = 2 (Panjang x Lebar + Lebar x Tinggi + Panjang x Tinggi)
a.Luas Permukaan = 2( 8×4 + 4×2 + 2×8 )
= 2 ( 32 + 8 + 16 )
= 2 × 56
= 112 cm²b.Luas Permukaan = 2( 8×3 + 3×4 + 4×8 )
= 2 ( 24 + 12 + 32 )
= 2 × 68
= 136 cm²
A bicycle wheel makes five rotations. The bicycle travels ft. Find the diameter of the wheel in inches. Use 3.14 for .
Answers
Answer:
[tex]r=\frac{L}{2pi R}[/tex]
Diameter=2r
inches=12*ft
Step-by-step explanation:
You forgot to say how far the bike travels.
Given R rotations, L feet, and a wheel radius of r, then the relationship is
[tex]L=2\pi rR[/tex]
Solving this for r gives
[tex]r=\frac{L}{2pi R}[/tex]
Diameter=2r
inches=12*ft
Mr. Morales owns a tour bus company and just received the news that fuel prices are going to increase by 125% it is currently $3.40 per gallon what will the cost per cost per gallon after the increase
Answers
Answer:
Step-by-step explanation:
Your answer
Let me think. 125 %,,,. So 1.25* 3.4= 4.25
New price = 7.65
Mark it as Brainlist answer. Follow me.
plz help i have 4 ins
Answers
The hypotenuse of a triangle is one foot more than
twice the length of the shorter leg. The longer leg IS
seven feet longer than the shorter leg. Find the
dimensions of the triangle.
Answers
Answer:
y uwu
Step-by-step explanation: i think
you are working to save money for a trip. you need to save 1500. if you already have 250 saved, and make represent how many hours, h, you need to work to make the rest of the money show your work
Answers
Answer:
Step-by-step explanation:
$1500-$250 = $1250
You need to save an additional $1250.
The question did not include a pay rate.
Suppose you earn x dollars an hour.
$1250 × (1 hour)/($x) = (1250/x) hours
You need to work 1250/x hours.
Hi! I am having a hard time with this question. Can anyone help me out? I only need to answer the questions with the red circles
Answers
Explanation: The trig ratios are SohCahToa or Sin(o/h), Cos(a/h), and Tan(o/a).
When A is the reference angle, b is the adjacent side and a is always the hypotenuse (Cah).
When J is the reference angle, j is the opposite side and l is always the hypotenuse (Soh).
When K is the reference angle, k is the opposite side and j is the adjacent side (Toa).
13. Jannah purchased flowers to plant in
her garden. She planted 2 flowers in
each of her 5 flower beds plus 8 flowers
around a pond. Write an expression
that shows how many flowers Jannah
planted.
Answers
Answer:
2x5=10+8
Step-by-step explanation:
my answer need to be 20 characters long so I had to write this too
The independent variable is represented by the symbol(s)
1. Y
2. xy
3. Both A and B
4. X
5. None of the above
Answers
Answer:
4
Step-by-step explanation:
because variable is independent
find the geometric of 5,8,9,12,15
Answers
Answer:
mom this u?
Step-by-step explanation:
WHICH SERIES OF TRANSFORMATIONS CAN BE USED TO SHOW THAT ABC~DEF?
Answers
Answer:
A) is correct
Step-by-step explanation:
Suppose that you and your friends attend a basketball game. You buy a block of 8 tickets for $192. You want to know the price per ticket. That price can be expressed as a unit rate. What is that rate?
Answers
Answer:
$38.40
Step-by-step explanation:
you have to divide 192 by 8.
How would yoy simplify 4(5+x)
Answers
Answer:
4x + 20
Step-by-step explanation:
4(5 + x) = 4 * 5 + 4 * x = 20 + 4x = 4x + 20
Hope this helps you out! Cya
Pls tell me the rest of the angles. Angle 1 is 112.9 degrees.
Answers
Answer:
the rest of the anglesss
Answer:
All together must be 180 but i dont know how to solve that
11. Let f(x) = 2x² + 7x + 5
Answers
Answer:
(x+1)(2x+5)
Step-by-step explanation:
f(x) = 2x² + 7x + 5
Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.
a+b=7
ab=2×5=10
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.
1,10
2,5
Calculate the sum for each pair.
1+10=11
2+5=7
The solution is the pair that gives sum 7.
a=2
b=5
2x²+7x+5 as (2x²+2x)+(5x+5).
(2x²+2x)+(5x+5)
Factor out 2x in the first and 5 in the second group.
2x(x+1)+5(x+1)
Factor out common term x+1 by using distributive property.
(x+1)(2x+5)
On a trip, a family travels 180 km in 2.5 h on the first day, 220 km in 4.4 h on the second day, and 88 km in 2.2 h on the third day. What was the average speed, in kilometers per hour, for the total trip?
Answers
Answer:
Step-by-step explanation:
180+220+88 = 488 km
2.5+4.4+2.2 = 9.1 h
(488 km )/(9.1 h) = (488/9.1 km)/h ≈ 53.6 km per hour
The floor in the room is 4.5m long and 3.1m wide. Calculate the area of the floor
Answers
Answer:
13.95 metre square
Step-by-step explanation:
The measurements you gave are different. Hence it concludes that the floor is rectangular in shape.
Sooo,
Area of rectangle = length x breadth
= 4.5×3.1 = 13.95 m^2
Hope it helped!!!
Rick earned 36 extra credit points. Cindy earned e fewer extra credit points than Rick. Write
an expression that shows how many extra credit points Cindy earned.
PLEASE ANSWER
Answers
Answer:
36-e
Step-by-step explanation:
-
If it takes 6 workers to paint a house in 48 hours how will it take 4 workers to paint the same house?
Answers
Step-by-step explanation:
6 worker do the painting of house = 48 hours
1 worker will take = 48/6 = 8 hours
4 worker will take. = 4× 8 = 32 hours
to paint the house
plz mark my answer as brainlist plzzzz vote me also .
hope this will be helpful to you ☺️.
Answer:
96 hours
Step-by-step explanation:
48 / 6 = 8
8 hours per worker.
4 x 8 = 24 x 2 = 48
So 96 hours
Hope that helps!
solve
2. y+0.4=2
what is y?
Answers
The answer is,
[tex]y = 1.6[/tex]
Answer:
Y = 1.6
Step-by-step explanation:
Y = 2 - 0.4
Y = 1.6
A class of 37 students took a test worth 100 points. The five-number summary of their scores is 55, 67, 73, 81, 98. Identify the FALSE statement: Group of answer choices At least 25% of the students scored a 67 or below. At least 18 students scored below a 67. At least 9 students scored between 67 and 73. At least 25% of the students scored an 81 or above.
Answers
Answer:
At least 18 students scored below a 67.
Step-by-step explanation:
Given the 5 number summary of scores obtained by 37 students in a test worth 100 points :
55, 67, 73, 81, 98
Minimum = 55
Q1 = 67
Q2 = 73
Q3 = 81
Maximum = 98
Q1 = first quartile = 25%
Atleast 25 % scored below 67 (True)
25% of 37 students = 0.25 * 37 = 9.25
Atleast 9 students scored below 67 (True)
Median, Q2 = 50%
Score between Q2 and Q1 = 50% - 25% = 25% ;
Hence, atleast 25 students scored between 73 and 67 ; meaning (0.25 *37) = 9.25 students Hence. Atleast, 9 students scored between 73 and 67 (True)
Third quartile = 75%
Percentage above third quarterile = (100 - 75)% = 25%
Hence, atleast 25% scored above 81 (True)
The false statement is At least 18 students scored below a 67.
what is the area of 5m, 17m, 8m, and 5m, the shape is a kite
Answers
Answer:
It can't be a kite. A kite has 2 pairs of equal sides.
Step-by-step explanation:
graph the linear equation y= -4/9x -4
Answers
Answer:
I used Desmos to graph it
3y-4=6-2y
How do I solve this
Answers
Answer:
solve the 3y and 2y first
Step-by-step explanation:
Answer:
y = 2.
Step-by-step explanation:
We need to have y terms on one side of the equation and numbers on the other side:-
3y - 4 = 6 - 2y
Add 2y to both sides:
3y + 2y - 4 = 6 - 2y + 2y
5y - 4 = 6
Add 4 to both sides:
5y - 4 + 4 = 6 + 4
5y = 10
y = 10/5
y = 2.