Answer:
51.265242 ng/gm ; 26.473257 ng/gm
Step-by-step explanation:
The standard error of the mean = standard deviation / √sample size
Given that:
mean concentration = 1,269 ng/gm
Standard deviation (s) = 145 ng/gm
Standard Error if 8 rats were measured :
Sample size (n) = 8
Standard Error = s / √n
Standard Error = 145 / √8
Standard Error = 145 / 2.8284271
Standard Error = 51.265242 ng/gm
If 30 rats were measured :
Standard Error = 145 / √30
Standard Error = 145 / 5.4772255
Standard Error = 26.473257 ng/gm
Need help will mark Brainliest
Assuming the triangle adds up to 180°, x = 55 because 55 + 5 = 60. 60 x 3 = 180
4. Verify that the functions fand g are inverses of each other by showing that
f(g(x)) = x and g(f(x)) = x.
F(x)=2x-3/x+4
g(x) = 3+4x/2-x
Answer and step-by-step explanation:
We just have to apply one function in the other one. See:
→ f(g(x)):
[tex]f(x) = \dfrac{2x-3}{x+4}\\\\f(g(x)) = \dfrac{2g(x)-3}{g(x)+4} = \dfrac{2\cdot\dfrac{3+4x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{6+8x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{(6+8x)-3(2-x)}{2-x}}{\,\,\,\dfrac{(3+4x)+4(2-x)}{2-x}\,\,\,}=\dfrac{(6+8x)-3(2-x)}{(3+4x)+4(2-x)}\\\\f(g(x)) =\dfrac{6+8x-6+3x}{3+4x+8-4x}=\dfrac{11x}{11}\\\\\\\boxed{f(g(x)) = x}[/tex]
→ g(f(x)):
[tex]g(x) = \dfrac{3+4x}{2-x}\\\\g(f(x)) = \dfrac{3+4f(x)}{2-f(x)} = \dfrac{3+4\dfrac{2x-3}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{3+\dfrac{8x-12}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{\dfrac{3(x+4)+(8x-12)}{x+4}}{\,\,\,\dfrac{2(x+4)-(2x-3)}{x+4}\,\,\,}=\dfrac{3(x+4)+(8x-12)}{2(x+4)-(2x-3)}\\\\g(f(x)) =\dfrac{3x+12+8x-12}{2x+8-2x+3}=\dfrac{11x}{11}\\\\\\\boxed{g(f(x)) = x}[/tex]
What verifies that f and g are inverses of each other.
Q.E.D.
Add the two expressions.
3z−4 and 2z + 5
I need it asap please help!
Answer:
3(1)-4=-1 2(1)+5=7
Answer:
5z+1
Step-by-step explanation:
it was simple
The linear equation when b= 5 and m = -2 is O y = 5x – 2. Oy= 5x + 2. y = -2x - 5. O y = -2x + 5
Answer:
y = -2x + 5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define given
y-intercept b = 5
Slope m = -2
Step 2: Write function
y = -2x + 5
PLEASEEEE HELPPP MEEE :(
Answer:
Question 5 is B
Because after I simplified I got B and its the only one that makes sense.
A taxi company charges $2.25 for the 1st mile and then $0.20 per mile for each additional mile, or F= $2.25+ $0.20 (m-1) where F is the fare and m is the number of miles. If Juan’s taxi fare is $7.65 ,how many miles did he travel in the taxi?
Answer:
28
Step-by-step explanation:
F=2.25+0.20(m-1)
7.65=2.25+0.20(m-1)
5.4=0.20(m-1)
5.4/0.20=0.20(m-1)/0.20
27=m-1
28=m
pattern 60 52 44 36
Let u = 2i + 3j, v=-i, and w = 5i – 6j. What is the magnitude of 2(u - V + w)?
•10.0
•13.4
•17.1
•21.6
Answer:
B. 17.1
Step-by-step explanation:
Edge 2020. Hope this helps.
The magnitude of 2(u-v +w) is √292.
The given vectors are u = 2i + 3j, v=-i, and w = 5i – 6j.
We need to find the value of 2(u-v+w).
How to find the magnitude of vector?The formula to determine the magnitude of a vector (in two-dimensional space) v = (x, y) is: |v| =√(x²+ y²). This formula is derived from the Pythagorean theorem.
Now, 2(2i + 3j-(-i)+5i-6j)
=2(2i+3j+i+5i-6j)
=2(8i-3j)=16i-6j
The magnitude of 16i-6j=√16²+6²=√256+36=√292
Therefore, the magnitude of 2(u-v +w) is √292.
To learn more about the magnitude of vectors visit:
https://brainly.com/question/24256726.
#SPJ2
Help Please I really need help!
if you had to express a typical NBA player's salary with a single number (round to the nearest 100000) you would use
Answer:
wat
Step-by-step explanation:
The area of a square is 81 m ^ 2 what is the perimeter of the square? How do you know?
Answer:
The answer is 36m.
Step-by-step explanation:
So, first of all, you need to remember that the formula for the area of a square is x^2, or one side multiplied by another side. Also recall that in a square all sides are equal. This means that x^2=81. Now, the square root of 81 equals 9 (you should have this memorized by now). So, if each side of the square is 9, and there are 4 sides, the perimeter would be 9*4, which is 36m.
50% of trick or treaters dressed up as a ghosts.
You have seen 33 ghosts. How many trick or
treaters did you see in all?
Answer:
66
Step-by-step explanation:
50% = 1/2
33 x 2 = 66
Math problem pls help I will give brainiest
Answer:
y=5
Step-by-step explanation:
125 +125+13y+9y=360
punch it into math-way.
250+22y=360
22y= 110
y=5
Write each parabola in the form y−k=a(x−h)^2 and determine its vertex: y=−4x^2+16x−19
0.3, 0.08, 0.003, 0.83
In order from smallest to largest
Answer:
0.003, 0.08, 0.3, 0.83
the first six multiples of 6
:∫ PLZZ help ;⊃ plz no playing around I need actual answer
Answer:
d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
15/10 goes down to 3/2 divide 15 by 5
21/14 goes down to 3/2 divide 21 by 7
What Is 55 > -7x + 6 ?
Answer:
x>−7
Step-by-step explanation:
55−6>−7x
49>−7x
−
7
49
<x
−7<x
x>−7
List all sets that -1/3 belongs to.
Answer:
dfffffffff
Step-by-step explanation:
xcdsw23456iu76
What is the equation of a line that is perpendicular to 2x+y=−4 and passes through the point (2, −8) ?
Answer:
y=1/2z-9= Perpendicular line
y=-2x-4= parrallel
Step-by-step explanation:
Answer:
y = [tex]\frac{1}{2}[/tex] (x) - 9
Step-by-step explanation:
Set the given equation to standard form: y = -2x -4
Set the slope of the given equation's slope to the reciprocal ( -2 --> 1/2).
Thus, you will have y = 1/2x + b
Insert the given information: (2, -8)
-8 = 1/2 (2) + b
Half of 2 is 1: subtract it on both sides...
-8 = 1 + b
-1 -1
-9 = b
So, the equation will be y = 1/2(x) - 9
Earl runs 60 meters in 40 seconds. How many meters per second does Earl run?
Earl runs 1.5 meters per second.................
-a^2b^2c^2(a+b-c) find the product
Answer:
-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3
I hope it will be useful.
HELPP!! ITS A LOT BUT YOU GET POINTS!
Answer:
To hard me brain go BOOM
Step-by-step explanation:
lol sorry i cant
One day Clare runs 4 miles. The next day she
runs 50% of that. How far does she run in total?
Answer:
She runs 6 miles in total.
Find 3 consecutive odd integers such that 10 times the first is 59 more than the third?
Answer: The required three consecutive odd integers are 7, 9 , 11.
Step-by-step explanation:
Let x , x+2 , x+4 be the three consecutive odd integers.
As per given ,
10(x) = 59+x+4
⇒10x= 59+x+4
⇒ 9x= 63
⇒ x= 7 [ divide both sides by 7]
Hence, the required three consecutive odd integers are 7, 9 , 11.
Please help!
Thanks in advance.
Answer:
y = (1/4)x + 5/2
Step-by-step explanation:
The lines slope needs to be opposite of the equation's so its positive (1/4)
This is the only slope listed that is that number so no need to calculate for the y value!
Write the slope intercept form of the equation of the line through the given point with the given slope
Through: (-2,1), slope = -3
if a coin is flipped 3 times, how likely are you to get tails 3 times in a row
Answer:
Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.
Step-by-step explanation:
Write the standard form of the line that has a slope of −3/4 and y-intercept of −2. Include your work in your final answer.
Y=2x^3 linear or nonlinear
Answer: linear
Step-by-step explanation:
Answer:
LINEAR...................
Step-by-step explanation:
y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph. The slope is can be described as riserun , and can be written as 21 . Start at (0,3)