Answer:
The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Standard deviation of 1.60 mg/L.
This means that [tex]\sigma = 1.6[/tex]
Collection of 10 samples:
This means that [tex]n = 10, s = \frac{1.6}{\sqrt{10}} = 0.506[/tex]
The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.
Can you please help me do a and b I will reward brainliest
a) 640.32 cm^3
b) 98.4 cm^3
Step-by-step explanation:Part a)Cylinder volume:(3.14) × 2^2 × 12 = 150.72 cm^3
Triangular prism:We need to find the height of the base so we use the Pythagorean theorem.
5^2 + x^2 = 14.1^2
25 + x^2 = 198.81
x^2 = 173.81
x = 13.184
After finding height, we can use the equation for a normal triangular prism:
[tex]\frac{1}{2}[/tex] × Base × Height × Length
[tex]\frac{1}{2}[/tex] × 13.184 × 10 × 12= 791.04cm^3
Total Volume: 791.04 - 150.72 = 640.32 cm^3
Part b)Small Sphere Volume:[tex]\frac{4}3[/tex] × 3.14 × 1^3 = [tex]\frac{314}{75}[/tex]cm^3
Half Sphere Volume :0.5([tex]\frac{4}3[/tex]× 3.14 × 3^3) = 56.52cm^3
Cone Height:5^2 = 3^2 + h^2
25 = 9 + h^2
16 = h^2
h = 4
Cone Volume:(3.14) × 3^2 × [tex]\frac{4}{3}[/tex] = 37.68 cm^3
Total Volume = 98.4 after rounding
Please help I’m struggling please
4.01 ESSENTIAL QUESTIONS
How do you use the distance formula and slope formula to classify a
quadrilateral?
How do you use the distance formula and slope formula to classify a triangle?
How do you use the distance formula and slope formula to prove properties of
polygons?
4.02 ESSENTIAL QUESTIONS
How do you use the slope to prove lines are parallel or perpendicular?
How do you write an equation of a line so that it is parallel or perpendicular to a
given point?
How do you use parallel and perpendicular lines to solve real-world problems?
4.03 ESSENTIAL QUESTIONS
How do you divide a segment into given ratios?
How do you use coordinates to find the perimeter and area of polygons?
Answer:
You use distance and slope formula to classify a quadrilateral by using the x and y coordinates of the quadrilateral. Boom
Step-by-step explanation:
helppppppppppppppppp
Answer: x > 4
x > 4 would look like that on the graph. If it was x is greater than or equal to 4, then the circle would be completely filled in. Hope this helped!
Plzzzzz answer. Will give brainliest
Area of square = (2x-3)^2
Area = 2x-3 x 2x-3
Area = 4x^2 -6x -6x +9
Area = 4x^2 -12x + 9
Area of ovals = x-5 + x-5 = 2x-10
Area of square - area of ovals:
4x^2 - 12x +9 - 2x -10
4x^2 -14x +19 square units
please solve and include an explanation!!!
The simplified expression is y.
To solve the expression [tex](x^2 y^5 / x^3 y^8) \times (x^5 y^6 / x^4 y^2)[/tex], we can simplify and perform the necessary operation
Let's break it down step by step:
Step 1: Simplify the expression inside the parentheses.
[tex](x^2 y^5 / x^3 y^8) \times (x^5 y^6 / x^4 y^2)[/tex]can be simplified as follows:
= [tex](x^{(2-3)} y^{(5-8)}) \times (x^{(5-4) }y^{(6-2)})[/tex]
= [tex](x^{(-1)} y^{(-3)}) \times (x^1 y^4)[/tex]
= [tex](1/x y^{(-3)}) \times (x y^4)[/tex]
=[tex]x^0 \times y^{(-3+4)[/tex]
= [tex]1 \times y^1[/tex]
= y
Therefore, the simplified expression is y.
The explanation is as follows:
We can simplify the given expression by applying the laws of exponents. In this case, when dividing two terms with the same base (x or y), we subtract their exponents. Additionally, any term raised to the power of 0 is equal to 1.
After simplifying the expression, we find that the answer is y. This means that the original expression[tex](x^2 y^5 / x^3 y^8) \times (x^5 y^6 / x^4 y^2)[/tex]simplifies to just y.
for such more question on expression
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A number than can be written as a ratio
of two integers a and b, where b is not
zero
Answer:
rational number
Step-by-step explanation:
How do you write an equation in slope-intercept form for the line through the given points (8, 10) and (14, 13)
Answer:
y=1/2x+6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(13-10)/(14-8)
m=3/6
simplify
m=1/2
y-y1=m(x-x1)
y-10=1/2(x-8)
y=1/2x-8/2+10
y=1/2x-4+10
y=1/2x+6
Complete the equation so that it represents the proportional relationship
shown in the table.
Help 15 pts good luck
Please help ASP!!!! A= positive, B=Negative, C=Zero
Answer:
B. Negative
Step-by-step explanation:
So first, we want to locate the variable.
y (x/y) = (y/1) (x/y)
= (xy/y)
= x
The y/y cancels out and now we know we need to find the sign of x. Because x is to the left of 0, it's negative. Anything to the left decreases and anything to the left of 0 is (-).
Omlll, I'm actually stuck rn xD If anyone can help,i'd appreciate it so much!! Tyssmm!!!!!
Answer: it’s acute
Step-by-step explanation:
the second one lollollol
State the divergence theorem and use it to evaluate ff.ds over the region V bounded by the planes x = 0, y = 0, z = 0, z = 4 and the surface of the cylinder x² + y² = 9 in the first octant, where F = xî + xyj + 2k.
As per the given details, the value of ff.ds over the region V bounded by the planes x = 0, y = 0, z = 0, z = 4, and the surface of the cylinder x² + y² = 9 in the first octant, where F = xî + xyj + 2k, is 81π.
The divergence theorem relates a flux fundamental across a closed floor S to a triple crucial over strong E enclosed by way of the surface.
It states that for a vector field F and a closed floor S that encloses a solid area E, the outward flux of F across S is equal to the triple necessary of the divergence of F over E.
Mathematically, the divergence theorem can be written as:
∫∫ F · dS = ∭ div(F) dV
To examine ff.Ds over the vicinity V bounded by using the planes x = zero, y = zero, z = zero, z = 4, and the floor of the cylinder x² + y² = 9 within the first octant, in which F = xî + xyj + 2k, we can use the divergence theorem. The first step is to locate the divergence of F:
div(F) = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z
= 1 + x
Next, we want to discover the volume enclosed via the surface. The cylinder x² + y² = 9 inside the first octant is a round cylinder with radius 3 and top 4. Therefore, the volume enclosed with the aid of the floor is:
V = ∫∫R (4 - z) dA
= ∫0^3 ∫0^(2π) (4 - z) r dr dθ
= 18π
So,
∫∫S F · dS = ∭V div(F) dV
= ∭V (1 + x) dV
= ∫0^4 ∫0^3 ∫0^(2π) (1 + x) r dθ dz dr
= 81π
Therefore, the value of ff.Ds over the place V bounded through the planes x = 0, y = 0, z = zero, z = four, and the surface of the cylinder x² + y² = 9 inside the first octant, where F = xî + xyj + 2k, is 81π.
For more details regarding divergence theorem, visit:
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2x+8>4 translate the inequality into written language
Answer:
The sum of two variables and 8 is greater than 4.
a stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where s(t) = 4.9t^2 + 29.4 and t is in seconds. if a stone is thrown downward at 29.4m/sec from a height of 132.3 m, how long will it take the stone to hit the ground?
Answer:
t = 9 s
Step-by-step explanation:
A stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where
[tex]s(t) = -4.9t^2 + 29.4+132.3[/tex]
We need to find when the stone will hit the ground. It means when s(t) = 0. So,
[tex]-4.9t^2 + 29.4t+132.3=0\\\\t=-3\ and\ t=9[/tex]
So, the stone will take 9 seconds to hit the ground. Hence, this is the required solution.
Suppose Charli D'Amelio posted 40 dance videos to TikTok. If 65% of the videos have her making up her own moves, how many of the dance videos do not have her making up her own moves?
Step-by-step explanation:
[tex]40 - (40 \div 100 \times 65) = \\ = 40 - (0.4 \times 65) = \\ = 40 - 26 = \\ = 14[/tex]
Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels.
Part A: Write an equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy. Define the variable used in the equation. (5 points)
Part B: How many pounds of milk chocolate are present in the candy? Show your work.
Let x be the weight of the candy in pounds, then 0.9x is the weight of the milk chocolate in pounds
The weight of the caramels in the candy is 3 pounds, so
An equation that can be used find the total number of pounds of milk chocolate and caramels in the candy is
0.9x + 3 = x ⇒ x = 30
So there are 0.9(30) = 27 pounds of milk chocolate in the candy.
hope this helps
Help is for now please
Please help me figure out this math problem
It is reported that 56% of a state is experiencing drought conditions. An agricultural researcher randomly selects ten farmers in the state and asks if their farms are experiencing drought. What is the expected number of farmers who have experienced drought? Find the standard deviation.
Answer:
I think your answer would be 5.6
Step-by-step explanation:
56% of 10 = 5.6
What is the factored form of this expression? 27n3+125n3
Answer:
27n³+125n³ = 152n³
5.337n)(5.337n)(5.337n)
Answer:
Step-by-step explanation: use math-way a chegg service
Find the missing measures using trig
Answer:
Step-by-step explanation:
the three cubes shown weigh 12 ounces how many pounds would 24 cubes weigh A. 4.5 lb B. 6lb C. 18lb D. 72lb
Can someone please help no links and if you can explain thank you so much
Answer:
detail attached
Step-by-step explanation:
I think it asks you to match the corresponding base and height
Help- this is also due tomorrow-
Answer:
46
Step-by-step explanation:
Write the following as an inequality. x is greater than 4 and less than or equal to 8 Use x only once in your inequality. pls hurry i will give brainlist
Answer:
8>_x>4
>_ this is greater than equal to symbol eight is greater than or equal to x is greater than 4
which equation has a slope of -1/4?
A) y=4
B) y=-4x
C) y=-1/4x+1
D) y=4x+9
E) x=-1/4
F) y=-1/4
Answer:
C
Step-by-step explanation:
y = mx + b
Choice C is y = (-1/4)x + 1
m or slope = -1/4
Compare and 1.6. Use <, >, or =.
A. 5/3 = 1.6
B. 5/3 < 1.6
c. 5/3 > 1.5
Step-by-step explanation:
[tex] \frac{5}{3} = 1 \frac{2}{3} = 1.67[/tex]
Since
[tex]1.67 > 1.6 \: and \: > 1.5[/tex]
C is the answer
Employee Earnings per
month($)
1
1,200
2
2,600
3
1,800
4
1,450
5
3,500
6
2,800
7
12,500
8
3,200
Answer:
actually its depend on how is he working day by day
HELP WILL MARK BRAINLEST
no files nd no pictures
Answer:
6xsquared +9x + 12