A sample of 85 chewable vitamin tablets have a sample mean of
272 milligrams of vitamin C. Nutritionists want to perform a
hypothesis test to determine how strong the evidence is that the
mean mass of vitamin C per tablet differs from 270 milligrams.
State the appropriate null and alternative hypotheses.
Answer:
The null hypothesis is that the mean vitamin C, μ is equal to the sample mean μ₀
The alternative hypothesis is that the mean vitamin C, μ is not equal to the sample mean μ₀
Step-by-step explanation:
The number chewable vitamin tablets in the sample, n = 85
The mean amount of vitamin C, μ₀ = 272 milligrams
The hypothesis test is to determine the strength of the evidence that the mean mass of vitamin C per tablet differs from 270 milligrams
The null hypothesis, H₀: μ = μ₀ =272 milligrams
The alternative hypothesis, Hₐ: μ ≠ μ₀ = 272 milligrams
-11+13r+6q-3r-3q+13 please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 3q+10r+2
Step-by-step explanation:
You need to combine like terms/simplify
so lets combine:
6q and -3q
13r and -3r
-11 and 13
3q+10r+2
Solve and graph: -2(4x-6) <12
Step by step please!
Answer:
x>0 to graph put a circle on 0 and draw the line going to the right ---->
Step-by-step explanation:
Write 52% as a decimal and a simplified fraction.
Answer:
Decimal: .52
Fraction: 13/25
Step-by-step explanation:
As a Decimal, 52% would be .52
All you have to do to get that, is to move the decimal over twice.
So as a fraction, you would put 100 as the denominator because 100 is how high a percent can get.
52/100 → 13/25
Please help me Mr Thompson!!! MY HOMEWORK!
Answers:
C) Factored form.C) Standard form.D) -8B) y = x^2B) 2 solutions: x = plus/minus 5======================================================
Explanations:
Factored form is whenever we have two or more expressions being multiplied like you see here. A more simpler example may be breaking 36 into 12*3, or 36 = 12*3. We say that 12*3 is the factored form of 36. The two pieces 12 and 3 multiply to 36.Standard form for quadratics is ax^2 + bx + c. The exponents count down: 2,1,0. You can think of it as ax^2 + bx^1 + cx^0. In this case, a = 2, b = 1, c = -3.The y intercept always occurs when x = 0. Plugging this value in leads to y = -8. The y intercept is located at (0,-8). The last value at the end, the constant term, is always the y intercept. This is one handy feature of standard form quadratic equations.The parent function of any quadratic is always y = x^2. From this parent function, we can derive any scaled version in the form y = ax^2, and we can also apply shifting to get y = (x-h)^2 or y = x^2+k. All together, we can generate y = a(x-h)^2 + k to represent both scaling and shifting. That last equation is vertex form which can convert to standard form shown in choice C. There are two solutions and the solutions are x = -5 and x = 5. Note how x^2 = (5)^2 = 25 and x^2 = (-5)^2 = 25. The two negatives cancel out when we multiply. Be sure to have the negative inside the parenthesis. We don't say -(5)^2 = -25.I was wondering...What are the properties/qualities of a rhombus?
Answer:
All sides are congruent by definition. The diagonals bisect the angles. The diagonals are perpendicular bisectors of each other.
Sum of any two adjacent angles is 180°
please help a girl out:
please help me with this question!
Complete the statement. 400 mm = ___ cm
Answer:
40 cm
Step-by-step explanation:
divide the length value by 10
400 / 10 = 40
Answer:
400 mm = 40 cm
Step-by-step explanation:
I need the answers to this: 3(2x-5)= 27
Answer: x=7
Step-by-step explanation: First, remove 3 from both sides by dividing. You will end up getting 9. Since 2x-5 = 9, add 5 from both sides by adding leaving you with 2x = 14. Divide 14 by 2 to get 7.
Who is correct? Fred or Felicity?
Answer: Felicity
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
I hope this helps, and enjoy the rest of your day!
Mrs Kennedy eats 5% of a bag of 300 gummy bears every day how many gummy bears does she eat per day
Answer: 15
Step-by-step explanation: 5 % means 0.05
0.05 ·300 =15
Help me please will mark brainliest
Answer:
197in^2
Step-by-step explanation:
5x5=25(top face)
5x5=25(left face)
9x5=45(bottom face)
6.4x5=26(right face)
Front and behind face: trapezoid area (trapezoid formula h x (a+b)/2)
(5+9)/2 x 5=7x5=35
35+35+25+25+45+25=197in^2
PLEASE HURY!!!! 20 PIONTS!!!! Find the area of this shape
Answer:
it is 3
Step-by-step explanation:
Answer: Hope this helps <3
Step-by-step explanation: the answer is: The Area Of This Shape Is 3
If there are 36 apples in 2 boxes, then
there are
apples in 5 boxes.
Answer:
90 apples in 5 bboxes
Step-by-step explanation:
what is 13 D + 8 equals -1
solve for d
Answer:
D= -9/13
Step-by-step explanation:
13d+8−8=−1−8
13d=−9
13d /13 = −9 /13
Hope this helps!
does anyone know the answer to this?
Answer:
Your answer is going to be answer A; (-3,2).
Answer:
A. (-3,2)
Step-by-step explanation:
C (0,0)
where,
(x,y)
Rise/run = y/x
3 units left = run -3 which is x, it's left so it's negative.
2 units up = rise 2 which is y, it's p so it's positive.
C (0,0) = (x,y) = (-3, +2)
So, C (-3,2) since it's already both at zero all you do is replace however if there is another number other than zero you just combine like terms so,
if C was (9,10) the new coordinates would be C (6,12)
Athena sells plates at a deal of 5 for $10. If Athena sells 25 plates per every half hour, how much money will Athena make?
Answer: 50$ every 1/2 hour
Step-by-step explanation:
25 ÷ 5 = 5
5 x 10 = 50
Max read 1/3 of his at school. He reads 22 more pages when he arrives home, making 127 pages read so far. How many pages are in Max's novel?
Answer:
315
Step-by-step explanation:
127-22=105
105 times 3 is equal to 315.
Answer:
Step-by-step explanation:
315!!!!!
Fild the slope of the line.( in the picture)
Answer:
m = 3/1
Hope that helps!
Answer:
-12/4 or -3Step-by-step explanation:
I can give you step by step if u want, just ask, but if you want the answer fast: its -3
Pete and his sister, Sophie, play the game Space Mission Commander on their video game console. Pete has already completed 27 missions. Sophie has only completed 13 missions. From now on, Pete plans to complete 3 missions per week. Meanwhile, Sophie plans to complete 5 missions per week.
Step-by-step explanation:
Pete has already completed 27 missions. Pete plans to complete 3 missions per week
Let x represents weeks
Games completed = 3x + 27
Sophie has only completed 13 missions. Sophie plans to complete 5 missions per week.
Games completed = 5x + 13
3x + 27 = 5x + 13
27 - 13 = 5x - 3x
2x = 14
x = 7
By the seventh week, they would have completed equal number of games,
A dessert recipe calls for image cups of milk and makes 5 servings. How many cups of milk are needed for 8 servings?
Answer:
1.05
Step-by-step explanation:
Answer:
u;t5g3ji/lfvjk.dvnjfvjk.f
Step-by-step explanation:
What is the square root of 4586
Answer:
67.72
Step-by-step explanation:
Answer:
57.68*
Step-by-step explanation:
Dont really know how to explain....
~PLEASS HELP FAST~
Determine weather y varies directly with x. If so, find the constant of variation and write the equation
I don’t understand this A gym has 11 rows of elliptical machines with 13 machines in each row. The gym also has 14 rows of treadmills with 12 treadmills in each row. What is the maximum number of people that can use the elliptical machines and the treadmills at the same time?
Answer:
311
Step-by-step explanation:
11x13=143
14x12=168
143+168=311
how do you find the x for this and the angles, thanks in advance
HOPE THIS HELPS...
Hooke's law is a law of physics that states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, Fs = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist Robert Hooke. He first stated the law in 1676 as a Latin anagram.[1][2] He published the solution of his anagram in 1678[3] as: ut tensio, sic vis ("as the extension, so the force" or "the extension is proportional to the force"). Hooke states in the 1678 work that he was aware of the law since 1660.
Hooke's equation holds (to some extent) in many other situations where an elastic body is deformed, such as wind blowing on a tall building, and a musician plucking a string of a guitar. An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean.
Hooke's law is only a first-order linear approximation to the real response of springs and other elastic bodies to applied forces. It must eventually fail once the forces exceed some limit, since no material can be compressed beyond a certain minimum size, or stretched beyond a maximum size, without some permanent deformation or change of state. Many materials will noticeably deviate from Hooke's law well before those elastic limits are reached.
On the other hand, Hooke's law is an accurate approximation for most solid bodies, as long as the forces and deformations are small enough. For this reason, Hooke's law is extensively used in all branches of science and engineering, and is the foundation of many disciplines such as seismology, molecular mechanics and acoustics. It is also the fundamental principle behind the spring scale, the manometer, and the balance wheel of the mechanical clock.
The modern theory of elasticity generalizes Hooke's law to say that the strain (deformation) of an elastic object or material is proportional to the stress applied to it. However, since general stresses and strains may have multiple independent components, the "proportionality factor" may no longer be just a single real number, but rather a linear map (a tensor) that can be represented by a matrix of real numbers.
In this general form, Hooke's law makes it possible to deduce the relation between strain and stress for complex objects in terms of intrinsic properties of the materials it is made of. For example, one can deduce that a homogeneous rod with uniform cross section will behave like a simple spring when stretched, with a stiffness k directly proportional to its cross-section area and inversely proportional to its length.
Step-by-step explanation:
2x + 15° + x = 180° { Being co-interior angles }
3x = 180°- 15°
3x = 165°
x = 165° / 3
x = 55°
2x + 15° = 2 *55° + 15° = 125°
Hope it will help :)❤
A cheetah attends the speed of 110 km per hour but the fastest human Sprinter goes a hundred meters in 9.58 seconds. How many times faster is the cheetah than the human sprinter
Answer:
73.27 km/hr
Step-by-step explanation:
The fastest human sprinter sprints 100 metres in 9.58 seconds. Thus, speed of sprinter is;
V_sprinter = 100/9.8
V_sprinter = 10.204 m/s
Now, from conversion, 1 m/s = 3.6 km/hr
Then, 10.204 m/s = (10.204 × 3.6)/1 = 36.73 km/h
The cheetah sprints 110 km/hr
Thus, the cheetah is faster by: 110 - 36.73 = 73.27 km/hr
Find the measure of the central angle (xº).
Find the value of or in the triangle shown below. 97 47
is this a right triangle 6,12,8
Answer:
No it is a obtuse triangle
Step-by-step explanation:
Answer:
No.
Step-by-step explanation: