3. The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean of 9.1 picomoles per liter and a standard deviation of 3.5 picomoles per liter. Find the probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter.
Answer: 0.8956
Step-by-step explanation:
Given: The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean [tex]\mu=100[/tex] picomoles per liter and standard deviation of [tex]\sigma=3.5[/tex] picomoles per liter.
Let X be the daily surface concentration of carbonyl sulfide.
The probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter [tex]= P(X<13.5)[/tex]
[tex]=P(\dfrac{X-\mu}{\sigma}>\dfrac{13.5-9.1}{3.5})\\\\=P(Z<1.257)\\\\= 0.8956\ \ \ [\text{By p-value table}][/tex]
Hence, the required probability = 0.8956
Mai's new bedroom has a walk-in closet with a floor that measures 20 square
feet. Her closet ceiling is 9 feet from the floor.
What is the volume of her closet?
Answer:
The volume of he bedroom is about 180 feet :)
f(x)=3x^2+6x-18 , find f(10)
Answer:
f(10)=342
Step-by-step explanation:
f(10)= 3(10)^2+6(10)-18
complete your exponet first and multiply 6(10)
f(10)=3(100)+60-18
multiply the 3(100)
f(10)=300+60-18
add and subtract all the numbers together
f(10)=342
Please help me with this question?
Answer:
Step-by-step explanation:
The answer is A
If it's not then i'm sorry
Answer:
None of the above
Step-by-step explanation:
A. b ≠ 0
B. Solve for b:
-7/(2 b) = (2 b)/7
Cross multiply:
-49 = 4 b^2
-49 = 4 b^2 is equivalent to 4 b^2 = -49:
4 b^2 = -49
Divide both sides by 4:
b^2 = -49/4
Take the square root of both sides:
Answer: b = (7 i)/2 or b = -(7 i)/2
A researcher predicts that listening to music while solving math problems willmake a particular brain area more active. To test this, a research participant hasher brain scanned while listening to music and solving math problems, and thebrain area of interest has a percentage signal change of 58. From many previousstudies with this same math problems procedure (but not listening to music), it isknown that the signal change in this brain area is normally distributed with amean of 35 and a standard deviation of 10.
(a) Using the .01 level, what shouldthe researcher conclude? Solve this problem explicitly using all five steps of hypothesistesting, and illustrate your answer with a sketch showing the comparisondistribution, the cutoff (or cutoffs), and the score of the sample on this distribution.(b) Then explain your answer to someone who has never had a course in statistics(but who is familiar with mean, standard deviation, and Z scores).
Answer:
one equal to 5
Step-by-step explanation:
5x x 66
5(r-10)=51 what is r equal to?
Answer:
r=20.2
Step-by-step explanation:
(Score for Question 1: ___ of 6 points)
Refer to the equation 4x+3y=24
A Complete the table of values for at least 2 points. Show your work.
B How did you find these two values? Answer in complete sentences.
C Use the table of values to graph the line.
You must complete all parts to receive full credit.
Answer:
x y
(Score for Question 2: ___ of 5 points)
Having trouble with finding the rise over run and simplifying the fraction
The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant height.solve the formula for h if b=3
Answer:
[tex] h = \dfrac{A - 9}{6} [/tex]
Step-by-step explanation:
A=b^2+2bh
b = 3
A = 3^2 + 2(3)h
A = 9 + 6h
6h = A - 9
[tex] h = \dfrac{A - 9}{6} [/tex]
The required expression for the slant height is h = [A - 9] / 6 .
Given that,
The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant height.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
A=b²+2bh
According to the condition,
put b = 3
A = 3² + 2 * 3 h
A = 9 + 6h
h = [A - 9] / 6
Thus, the required expression for the slant height is h = [A - 9] / 6 .
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
What is the value of 3/4 divided by 3/8
Answer:
2
Step by Step Explanation
Keep Change Flip
3/4x8/3=24/12=2
Answer:
2
Step-by-step explanation:
3/4 divided by 3/8
3/4 x 8/3
cross simplify to get
1/4 x 8/1
cross simplify again to get
1 x 2 = 2
Help plz asap I really need help with this
Answer:
the only solution is -7
Step-by-step explanation:
i am 95% sure that im right
Answer:
3rd
C
The only solution is -7
Step-by-step explanation:
The price of a stock steadily decreased by a total of $123 over the past 14 months.
What happened when the stock decreased by $123?
Write an algebraic expression for the difference of 5 from b .
Answer:
b-5
Step-by-step explanation:
Suppose that two balanced dice are tossed repeatedly and the sum of the two uppermost faces is determined on each toss. a) What is the probability that we obtain a sum of 3 before we obtain a sum of 7? Hint: Let A denote the event of a sum of 3. Let B denote the event of no sum of 3 or 7. Now, begin to list the out the sample space in terms of A and B - it should be recognizable in the lecture notes. Hint: A useful infinite series result when |z| < 1: 1 + z + z 2 + z 3 + z 4 + . . . = 1 1 − z
Jane wants to buy carpet for her room measuring 400 square feet. She purchased carpet that costs $20 per square yard. How much will it cost to have her room carpeted? (1 square yard = 9 square feet) Explain how you solved it.
Answer:
About $888.88
Step-by-step explanation:
divide 400 by 9 to get the total number of how much square yards she needs
400/9 = 44.44444444
Multiply 44.44444444 with $20 to get the amount which is about 888.88
1/2 mi = 880 yd
True
O False
Answer:
True.
Step-by-step explanation:
If you multiply the length value, you'd get 880 yd. Which basically answers it, the answer is true.
Answer:
True
Step-by-step explanation:
I did this before it kind of complicated but trust me it true
Please help me if you know the correct answer, thank you
9515 1404 393
Answer:
Option 4Option 1no solutionStep-by-step explanation:
1. The system is represented by the matrix that has the coefficients in the left three columns and the constants in the rightmost column. Values and signs must match. Only Option 4 makes any sense in this context.
__
2. In the first equation, the y-term has a coefficient of 0. (There is no y-term.) The only matrix choice with a coefficient of 0 in the second column of the first row is Option 1.
__
3. Parallel lines do not intersect, so there can be no solution.
what is the value of 2.5x+17+21x-25=180
Answer:
x=8
Step-by-step explanation:
2.5x+17+21x−25=180
Simplify 2.5x+17+21x−25
23.5x−8=180
Move all terms not containing x to the right side of the equation.
23.5x=188
Divide each term by 23.5 and simplify.
x=8
Hope this helps! :) Plz mark as brainliest
The angle represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then . If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then . In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.
Answer:
the weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching
Step-by-step explanation:
This is the word for word answer but be careful and don´t copy it exactly!! paraphrase the answer using your own words
guys help me 3(x−4)≥−2x+3
Answer:
sensya na bobo den ako e✌
What is the opposite of 4:3?
Answer:
3:4???
Step-by-step explanation:
Answer:
3:4
3/4
Step-by-step explanation:
reciprocal
A system of equation is shown: 2x = -y + 6 -4x + 3y =8 what is the solution tonthis system of equations? (-1, -4) (1, 4) (4, 4) (-4, -1)
Answer:
(1 , 4)
Step-by-step explanation:
2x = -y + 6
-4x + 3y = 8
2x = -y + 6
2x - 6 = -y
-2x + 6 = y
-4x + 3y = 8
-4x + 3(-2x + 6) = 8
-4x - 6x + 18 = 8
-10x + 18 = 8
-10x = -10
x = 1
-2x + 6 = y
-2(1) + 6 = y
-2 + 6 = y
4 = y
Hope is n years old. Interpret the following expression if the expression represents Hunter's age.
3n -8
A.
Hunter is 8 years younger than Hope's age.
B.
Hunter is 8 years older than 3 more than Hope's age.
C.
Hunter is 8 years younger than 3 times Hope's age.
D.
Hunter is 8 years older than 3 times Hope's age.
Answer:
its A and B
Step-by-step explanation:
Because if you do the opposite of subtracting is adding so that means you add 8 to 3 which equals to 11 years old.
so that means Hope is 11 years old
what is the answer to this question?
Answer:
1st box
3rd box
5th Box
Step-by-step explanation:
For the first equation, you have to move the decimal place 11 places to the right.
For the second equation, you have to move the decimal 13 places to the right.
-tell me if I'm wrong
Write as a product:
25a^2−0.01b^10
Answer:
(5a + 0.1b^5)(5a + 0.1b^5)
Step-by-step explanation:
25a^2 − 0.01b^10 =
This follows the pattern: x^2 - y^2 = (x + y)(x - y)
= (5a + 0.1b^5)(5a + 0.1b^5)
need help not sure
Answer:
6
Step-by-step explanation:
You add 3 and 5 to get 8 and then you will subtract 2 from 8 to get 6
A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for t.
Ο Α. 7 m
Ο Β. 11 m
Ο Ο Ο Ο
Ο C. 22 η
O D. 28 m
Answer:
B. 11
Step-by-step explanation:
Im good with a Scientific calculator.
I need help with this problem (THIS IS NOT FROM A TEST)
Answer:
44.5 degrees.
Step-by-step explanation:
Since these triangles are congruent, their angles are the same.
Therefore, we can set an equation with the 2 labeled angles (which are angles C and F):
2.5x+8=3.5x-7
8=x-7
x=15
We can plug 15 back into one of the equations:
2.5(15)+8 = 45.5
This means angle F is 45.5.
To find out the measure of angle E, recall the fact that the angles in a triangle add up to 180. Since this is a right triangle, and F = 45.5, we can set up an equation and solve for x:
90 + 45.5 + x = 180
135.5 + x = 180
x = 44.5
Therefore, the angle E is 44.5 degrees.
Answer:
44.5
Step-by-step explanation:
These triangles are the same so we know that
2.5x + 8 = 3.5x - 7
Subtract 2.5 x from both sides
8 = x - 7
Add 7 to both sides
15 = x
Substitute x
37.5 +8
45.5
There is a right angle so we must add 45.5 + 90 to get 135.5
Subtract 135.5 from 180 to get
44.5
write an equation to solve for x 8x+2 14x-76 will give brainiest
Answer:
8x + 2 = 14x - 76Step-by-step explanation:
just add both corresponding angles
Which term describes the relationship between L A and 2 B, if the m LA= 84º and m 2 B = 96º7
A
vertical
В.
adjacent
С
supplementary
D
complementary
Answer:
Supplementary
Step-by-step explanation:
84 plus 96 equals 180 degrees
supplementary angles are angles that add up to 180 so their relationship is supplementary