HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
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Answer:
Body mass is measured in KG, like when you do a BMI the units are kg
Step-by-step explanation:
Related Questions
The State Department of Weights and Measures is responsible for making sure that commercial weighing and measuring devices, such as scales, are accurate so customers and businesses are not cheated. Periodically, employees of the department go to businesses and test their scales. For example, a dairy bottles milk in 1-gallon containers. Suppose that if the filling process is working correctly, the mean volume of all gallon containers is 1.00 gallon with a standard deviation equal to 0.10 gallon. The department's test process requires that they select a random sample of n = 9 containers. If the sample mean is less than 0.97 gallons, the department will fine the dairy. Based on this information, what is the probability that the dairy will get fined even when its filling process is working correctly?
A. 0.90
B. Approximately 0.3159
C. About 0.1841
D. Approximately 0.382
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Answer:
B. Approximately 0.3159
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
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 deviation [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.
The mean volume of all gallon containers is 1.00 gallon with a standard deviation equal to 0.10 gallon.
This means that [tex]\mu = 1, \sigma = 0.1[/tex]
Sample of 9:
This means that [tex]n = 9, s = \frac{0.1}{\sqrt{9}}[/tex]
If the sample mean is less than 0.97 gallons, the department will fine the dairy. Based on this information, what is the probability that the dairy will get fined even when its filling process is working correctly?
This is the pvalue of Z when X = 0.97. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.97 - 1}{\frac{0.1}{\sqrt{9}}}[/tex]
[tex]Z = -0.9[/tex]
[tex]Z = -0.9[/tex] has a pvalue of 0.1841.
The correct answer is given by option B.
Answer:
Option C
Step-by-step explanation:
Given
Probability of Mean value less than 0.97
= Mean value -1/(0.1/sqrt (9))
Substituting the given values, we get -
Probability of Mean value less than 0.97
= 0.97 -1/(0.1/sqrt (9))
= 0.97-1/(0.1/3)
= 0.1841
Hence, option C is correct
What polygon is shown below?
octagon
decagon
dodecagon
hexagon
Answers
(it has eight sides)
Answer:
octagon
Step-by-step explanation:
there is 8 sides in total :)
Help PLEASE!!!! Need help due Today!!!
Shelby has a $5 gift card to an online music store. She downloads songs that cost $1.20 each. What equation models the total amount of money Shelby spends y if she downloads x songs?
y = 5x + 1.20
y = 5x + 1.20
y = -5x + 1.20
y = -5x + 1.20
y = 1.20x - 5
y = 1.20x - 5
y = 1.20x + 5
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Ray digs a garden plot that is 30 feet wide and 20 feet long. Bell takes a garden plot that is half as wide, but has the same length as Ray’s plot. How do the dimensions of an area of the two garden plots compare?
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WHAT IS THE MEASURE OF ANGLE T NEED HELP
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Factorize the algebraic expression:
10y²+13y-3
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Hey guys please help me ASAP my assignment is past due date and I am still stuck on this please tell me the answer "June is making cookies. He makes 2 batches on Monday and 4 batches on Tuesday. He uses 3/4 cup of flour in each batch. How many flour does June use? Explain" please help me before they give the grades out
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Answer:
If he is making 6 batches, multiply 3/4 by 6 to find out how much flour he uses.
Step-by-step explanation:
3/4 x 6 = 18/4 = 4 1/2 cups of flour.
Amanda found the equation 10x+5y=20 in the “linear equations” chapter of her math book.
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All possibilities were discussed in order to write the required linear equation.
The given linear equation is:
[tex]10x+5y=20[/tex]
What is a linear equation?An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R
For a unique solution, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} \neq \frac{5}{b}[/tex]
For infinitely many solutions, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}[/tex]
Hence, all possibilities were discussed in order to write the required linear equation.
To get more about linear equations visit:
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A manatee swims 1/4 mile in 3 minutes. What is its swimming speed in miles per hour?
NO LINKS PLZ
I WILL MARK BRAINLIEST
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Step-by-step explanation:
I believe that the manatee can swim 5 miles per hour
Find the distance between the two points in simplest radical form (1,-3) and (-1,-8)
Answers
Answer:
Length = 5.3852
Answer:
√29
Step-by-step explanation:
The change in x from one point to the other is 2; that in y is 5.
Use the Pythagorean Theorem to find the length of the hypotenuse (which is the desired distance):
d = √(2² + 5²) = √29
Simplify the expression. Write your answer as a power.
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45600 cm to mL *
how do you convert that
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Answer:
45600 cm = 45600 mL
Step-by-step explanation:
1 milliliter = 1 cubic centimeter
Help me and show your work.
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Answer:
Infinite solutions
Step-by-step explanation:
Equation 1:
4x-6y=4
3(4x-6y=4)
12x-18y=12
Equation 2
(12x-18y=12)/3
4x-6y=4
They are the same equation, therefore, there are infinite solutions
A function is given by f(x) =
[tex] \sqrt[4]{x} [/tex]
Evaluate f'(16).
Answers
Answer:
[tex]\displaystyle f'(16) = \frac{1}{32}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \sqrt[4]{x}[/tex]
f'(16) is x = 16 for the derivative f'(x)
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f(x) = x^{\frac{1}{4}}[/tex]Basic Power Rule: [tex]\displaystyle f'(x) = \frac{1}{4}x^{\frac{1}{4} - 1}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{1}{4}x^{\frac{-3}{4}}[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle f'(x) = \frac{1}{4x^{\frac{3}{4}}}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle f'(16) = \frac{1}{4(16)^{\frac{3}{4}}}[/tex]Evaluate exponents: [tex]\displaystyle f'(16) = \frac{1}{4(8)}[/tex]Multiply: [tex]\displaystyle f'(16) = \frac{1}{32}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Answer my question about the photo
Answers
B
Explanation
There are 24 lightbulbs in a package. Let n represent the number of lightbulbs in p packages.
NO LINKS
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24p = n
Let n = total of lightbulbs
Let p = number of packages
The required equation model for the condition of the number of lightbulbs in p packages is given as n = 24p.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
There are 24 lightbulbs in a package. Let n represent the number of lightbulbs in p packages.
So according to the question,
n = 24p
Thus, the required equation model the given equation is given as n = 24p.
Learn more about models here:
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PLEASE HELP ASAP!!
Complete the table for the function below.
y = x^2
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[tex]y = {x}^{2} [/tex]
Substitute the values of x to find y. Example:
[tex]when \: x = - 1 \\ y = { - 1}^{2} \\ y = 1 [/tex]
So do that for the other values of x.
Which question is statistical?
A. What number of feet is equivalent to three miles?
B. How many miles did your family drive last week?
C. How many miles are between the library and the post office?
D. How many miles does each member of the biking club ride each week?
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Help me please and thank you
Answers
Answer:
use formula
area =1/4*π*d^2
81π=1/4*π*d^2(here two pie gets cancel)
81=1/4*d^2
81*4=d^2
[tex]\sqrt{324}[/tex]=d
18=d
Step-by-step explanation:
Solve the following expression when
C= 8
4c = (2 • 2)
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Answer:
the answer is 8
Step-by-step explanation:
In AVWX, x = 5.7 inches, v = 4.5 inches and ZW=114°. Find the area of AVWX, to the
nearest 10th of a square inch.
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Answer:
144 i think
Step-by-step explanation:
Find The Value Of X.
Answers
Answer:
Tan 30 =, 14/x
Then x= 14/tan 30
So x=14 root 3
Karen has 2 potatoes and she and she smashed one on your head how many does she have now
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James is having a party. He has worked out how much food he needs to buy per person and goes to the shop to buy the things he needs.
Per person:
-3 slices of pizza
-25g of crisps
Crisps come in 300g packets
8 Slices per pizza
James is expecting 15 people to be there including himself
How many pizzas and packets of crisps does he need to buy?
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Step-by-step explanation:
Using n = 3.14, what is the circumference of a circle with a radius of 20 units?
Round your answer to the nearest hundredth.
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Answer:
125.6
Step-by-step explanation:
C=2pir
C=2(3.14)(20)=125.6
Find the radius r of C.
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Answer:
10
Step-by-step explanation:
By Pythagoras' Theorem:
16 + r = √(24^2 + r^2)
(16 + r)^2 = 24^2 + r^2
256 + 32r + r^2 = 576 + r^2
32r = 320
r = 10
Angle a and angle b are supplemetary angles. If m angle a = (5x+25) and m angle b = (x+17) then find the measure of angle a
Answers
Answer:
The measure of angle a is of 140º.
Step-by-step explanation:
Supplementary angles:
If two angles are supplementary, their measures add to 180º.
Angle a and angle b are supplemetary angles.
This means that
<a + <b = 180º.
m angle a = (5x+25) and m angle b = (x+17)
So
[tex]5x + 25 + x + 17 = 180[/tex]
[tex]6x + 42 = 180[/tex]
[tex]6x = 138[/tex]
[tex]x = \frac{138}{6}[/tex]
[tex]x = 23[/tex]
Measure of angle a:
[tex]<a = 5x + 25 = 5(23) + 25 = 140[/tex]
The measure of angle a is of 140º.
HELPPPPP!!!!!!!!! PLS ! HURRY
Answers
Answer:
-2 and 4
Step-by-step explanation:
The zeros of a function are when the function equals 0.
To make (x+2)(x-4) be zero, either the x+2 term or the x-4 term need to be equal to zero. Because any number multiplied by 0 is 0.
So, set x+2=0 solve for x=-2
Set x-4=0 solve for x=4
Julie has 2 cherry lollipops, 4 lime lollipops, and 3 grape lollipops in a bag. She is going to select one lollipop, replace the lollipop in the bag, and then select a second one. What is the probability that Julie will select a cherry lollipop and then a lollipop other than lime?
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Answer:
the answer is simple B 10/81
Step-by-step explanation:
Answer:
The Guy/Girl Above me was correct! its B.
Step-by-step explanation:
Please help! I will give Brainliest!
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step by step explanation:
You got this I believe in you!!!