Richard buys a carton of oranges and measures the weight of 1 orange in the carton Which measure gives the most precise weight?
Answers
Answer:
0.8 lbs
Step-by-step explanation:
Ounces are typically used to measure liquid, so I would discourage choosing the top two. And, hopefully you know by now that an orange does not weigh 8 pounds.
9514 1404 393
Answer:
(a) 0.8 ounces (most precision)
(b) 8 ounces (best precision for likely weight of an orange)
Step-by-step explanation:
The most precision is obtained by using the smallest unit of measure. On this list, the smallest unit of measure is a tenth of an ounce. That is, the measure 0.8 ounces has the most precision.
__
It is unlikely that the weight of one orange will be 0.8 ounces. The smallest unit used in a measurement likely to correspond to the weight of an orange is 1 ounce, used in the measurement 8 ounces. That measurement has better precision than 0.8 pounds, because 0.1 pounds corresponds to 1.6 ounces.
Related Questions
Max is building a model of the Washington Monument which is 555 feet tall if it's model must fit in his Mom's car, what scale must he use?
Answers
Answer:
1 foot=1 milimeter
Step-by-step explanation:
have a great day
A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quarts of water from 50 degrees to boiling.
Two competing models are under consideration. Thirty-six stoves of each model were tested and the following results were obtained.
Model 1: mean time is 11.4 and standard deviation is2.5
Model 2: mean time is 9.9 and standard deviation is 3.0
Is there any difference between the performances of these two models? {use a .05 level of significance}. Find the p-value of the sample statistic and do a significance test.
Find a 95% confidence interval for the difference of the means.
Answers
Answer:
a
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that there is a difference between the performances of these two models
b
The 95% confidence interval is [tex] 0.224 < \mu_1 - \mu_2 < 2.776 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 36
The first sample mean is [tex]\= x_1 = 11.4[/tex]
The first standard deviation is [tex]s_1 = 2.5[/tex]
The second sample mean is [tex]\= x_2 = 9.9[/tex]
The second standard deviation is [tex]s_2 = 3.0[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ (\= x_1 - \= x_2 ) - (\mu_1 - \mu_2 ) }{ \sqrt{ \frac{s_1^2 }{n} + \frac{s_2^2 }{ n} } }[/tex]
=> [tex]z = \frac{ ( 11.4 - 9.9) - 0 }{ \sqrt{ \frac{2.5^2 }{36} + \frac{ 3^2 }{36 } } }[/tex]
=> [tex]z = 2.3[/tex]
From the z table the area under the normal curve to the left corresponding to 2.3 is
[tex]P( Z > 2.3 ) = 0.010724[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P( Z > 2.3 )[/tex]
=> [tex]p-value = 2 * 0.010724[/tex]
=> [tex]p-value = 0.02[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that there is a difference between the performances of these two models
Considering question b
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{s_1^2 }{n } + \frac{s_2^2}{n}} [/tex]
=> [tex]E = 1.96 * \sqrt{ \frac{2.5^2 }{ 36 } + \frac{ 3^2}{36}} [/tex]
=> [tex]E = 1.276 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]( \= x_1 - \= x_2) -E < \mu_1 - \mu_2 < ( \= x_1 - \= x_2) + E [/tex]
=> [tex]( 11.4 - 9.9 ) -1.276 < \mu_1 - \mu_2 < ( 11.4 - 9.9 ) + 1.276 [/tex]
=> [tex] 0.224 < \mu_1 - \mu_2 < 2.776 [/tex]
a loan of 38000 is made of 3% interest, compounded annualy. after how many years will the amount due reach 49000 or more
Answers
Answer:
the time period is 9 years
Step-by-step explanation:
The computation of the number of years is as follows:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
$49,000 = $38,000 × (1 + 0.03)^number of years
$49,000 ÷ $38,000 = 1.03^number of years
tlog(1.03) = log($49 ÷ $38)
Now apply the log formula in calculator or in excel
t = log(49 ÷ 38) / log(1.03)
= 8.6
= 9 years
Hence, the time period is 9 years
Helppp asappp I need help with 4
Answers
Answer:
Step-by-step explanation:
1. Write the equation in point slope form. Remember, point slope form looks like this: y-y1=m(x-x1), with m representing slope. With this equation, you plug in the y coordinate for y1 and the x coordinate for x1. So, it will look like this
y+6=2/3(x+5)
2. Then, convert that into slope intercept form, which is y=mx+b.
y+6=2/3x+10/3 (2/3 * 5)
y= 2/3x - 8/3 (10/3 - 6)
Therefore, your slope-intercept form of the equation is: y=2/3x - 8/3
3. From there, you can graph the line. See the graph in the image attached.
Please can someone help me please
It is attached
Answers
(y+1)^3
Using , (a+b)^3=a^3a^2b+3ab^2+b^3expand the expression
y^3+3y^2+3y+1=
Answer
For this problem we will use the complex numbers 3 - 6i and 9 + i
What is the conjugate of each complex number?
What is the sum of the complex numbers? Show all work.
What is the sum of the conjugates of the complex numbers? Show all work.
Answers
The sum of the original complex numbers is (3-6i)+(9+i)=12-5i
The sum of the conjugates is (3+6i)+(9-i)=12+5i
neeeeddd helppp asap
Answers
The easy way to do it is Just divide 360 from 5 because that’s the amount of times you turn it ...
The graph represents function 1, and the equation represents function 2:
6
3
2
1
0
0 1
2
3
4
5 6 7 8 9
Function 2
y = 8x + 12
How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)
O 3
O4
O 5
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
We know that the slope or rate of change of the function can be:
positivenegativezero, orundefinedFunction 1
From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0
so using the slope formula
Rate of change = m = y₂-y₁ / x₂-x₁
Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)
Rate of change = m = 4-4 / 1-0
Rate of change = m = 0/1
Rate of change = m = 0
Thus, the rate of change of function 1 is zero.
Function 2
We know the slope-intercept form of linear equation is
[tex]y = mx+b[/tex]
where m is the rate of change or slope of the function and b is the y-intercept
Given the function
[tex]y = 8x+12[/tex]
comparing with the slope-intercept form i.e. y = mx+b
Therefore, the rate of change of function 2 = m = 8
Conclusion
The rate of change of function 1 = 0
The rate of change of function 2 = 8
as
8 - 0 = 8Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.
Which number line best represents the solutions to 7 < -2x + 3?
Answers
Answer:
B or D
Step-by-step explanation:
8 gallons equals how many pints?
Answers
Answer:
38
Step-by-step explanation:
Answer:
8 gallons equals 64 pints since there are 8 pints in a gallon
Step-by-step explanation:
take care
Which graph shows the following system of equations and its solutions? -0.1x-0.3y=1.2 and 0.2x-0.5y=2
Answers
Answer:
Option b is the correct answer as both the equations are true for given solution.
Step-by-step explanation:
Given equations are:
-0.1x-0.3y=1.2
0.2x-0.5y=2
We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution
For option A:
(0,4)
Putting x=0 and y = 4 in both equations
[tex]-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2[/tex]
This is not the correct answer as both equations are not true with this solution
For Option B:
(0,-4)
Putting x = 0 and y = -4 in both equations
[tex]-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2[/tex]
Both equations are true for (0,-4) hence it is the solution of the system.
For Option C:
(4,0)
[tex]-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2[/tex]
Not true for both equations
Hence,
Option b is the correct answer.
Solve the following equations | 3x + 3/7 | = 2 1/3
Answers
Answer:
X∈[tex]\frac{5}{63}, -\frac{23}{63}[/tex]
Step-by-step explanation:
Choose a true statement
g(x) is not a function because f(x) is not a
function.
g(x) is not a function because f(x) is not one-
to-one.
gx) is a function because f(x) is one-to-one.
g(x) is a function because f(x) is not one-to-
O
one.
Answers
I think it is the first one
Answer:
Keep it simple: part one. D, part two. C
Step-by-step explanation:
If G(x)=5x-2, find G^-1(x).
A.-5x+2
B.(x+2)/5
C.(x/5)+2
Answers
Answer:
C.
Step-by-step explanation:
G(x) = 5x - 2
G^-1 = everything will become a fraction with one as the numerator and all negatives on the bottom become a positive constant.
G^-1(x) = (x/5) + 2
Ms. Jackson emptied 16 boxes of crayons into a classroom crayon bucket in each box 2/9 The crayons were green how many crayon boxes could she filled with all the green crayons?
Answers
Answer:
2 boxes
Step-by-step explanation:
do 16 times 2 you get 32 so there are 32 green crayons 32/9 9 times 3 is 36 which is over 32 so you cant fill 3 boxes 9 times 2 equals 27 so the answer would be she can fill 2 boxes
Perform the following operation
and express the answer in
scientific notation.
4.0x105 x 3.0x103
[ ? ]x10!?)
Answers
Answer:
Step-by-step explanation:
first step, multiply 4 and 3
4x3=12 , we write is 1.2x10
10^5 x10^3=10^8
4 x10^5 x 3 x 10^3= 1.2x10^9
The required answer is 1.20 x 10⁹ in scientific notation.
What is scientific notation?Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.
Here,
To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. Applying this rule, we get:
= (4.0 x 10⁵) x (3.0 x 10³)
= (4.0 x 3.0) x (10³ x 10⁵)
= 12.0 x 10⁵⁺³
= 12.0 x 10⁸
However, the answer is not yet in proper scientific notation form because the coefficient 12.0 is not between 1 and 10. To express the answer in scientific notation, we need to adjust the coefficient and exponent so that the coefficient is between 1 and 10. We can do this by dividing the coefficient by 10 and increasing the exponent by 1. Doing this, we get:
12.0 x 10⁸ = 1.20 x 10⁹
Therefore, the answer is 1.20 x 10⁹ in scientific notation.
Learn more about scientific notation here: https://brainly.com/question/13091583
#SPJ7
For the line that passes through Y(3,0), parallel to ↔DJ with D(-3,1) and J(3,3) I need to find the slope and to write a point slope form
Answers
Answer:
Step-by-step explanation:
2/5
do the run over rise
F(x)=x/2 +8, what is f(x) when x = 10?
4
ОООО
13
36
Answers
Answer:
13
Step-by-step explanation:
Just replace x with 10, so F(10) = 10/2 + 8. Which is 5 + 8.
Which calculation and answer show how to convert 11/25 to a decimal?
Answers
Answer:
this is the answer
Step-by-step explanation:
1125=11×425×4=44100=0.44
I need asap!!!brainliest for best answer
Answers
Answer:
D
Step-by-step explanation:
the answer is D ok so u see how she jsbdjdbd
What is the quotient of 4/5 divided by 17/9
Answers
Answer:
0.42352941176
Step-by-step explanation:
hope this helps
The value of quotient will be 0.42.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
''4/5 divided by 17/9''
Now,
Since, The expression is,
''4/5 divided by 17/9''
Hence, After solving we get;
⇒ 4/5 ÷ 17/9
⇒ 4/5 × 9/17
⇒ 36/85
⇒ 0.42
Thus, The value of quotient = 0.42
Learn more about the divide visit:
brainly.com/question/844312
#SPJ2
The owner of 12 book stores is buying 32 copy's of a book for each of his stores. How many books will he buy in all?
Answers
Answer:
384
Step-by-step explanation:
12 book stores and 32 copies of a book for each book store
12 times 32 = 384 books
What is the actual slope of a line with the points (-4, 9) and (3, -5)?
Answers
Answer:
slope=∆y/∆x=9+5/-4-3=14/-7=-2
Answer:
-2
Step-by-step explanation:
slope equation: (y2-y1)/(x2-x1)
lets use (-4, 9) as x1 and y1 and (3, -5) as x2 and y2
when plugged into the equation we get (9+5)/(-4-3) which ultimately equals -2.
Please answer: A A piece of wood that is 7.07 centimeters long. Then she sawed 0.7 centimeters off the end. How long is the piece of wood now?
Answers
Answer:
6.37 cm
Step-by-step explanation:
Please help I need the answer
Answers
Answer:
Please check the attached graph.
The point of intersection will be: (x, y) = (15, -2)The solution will be:
(x, y) = (15, -2)Hence, option (B) is correct.
Step-by-step explanation:
Please note that the point of intersection is the solution of the two lines on a coordinate plane.Given the system of equation
[tex]\begin{bmatrix}y=\frac{2}{3}x-12\\ y=2x-32\end{bmatrix}[/tex]
Please check the attached graph,
The red line is representing the equation [tex]y\:=\:\frac{2}{3}x-12[/tex]The blue line is representing the equation [tex]y\ =\ 2x-32[/tex]From the attached graph, it is clear that both the lines meet at the point (15, -2).
In other words,
at x = 15, y = -2
Thus, the point of intersection will be: (x, y) = (15, -2)
We already know that the point of intersection is the solution of the two lines on a coordinate plane.
Therefore, the solution will be:
(x, y) = (15, -2)
Hence, option (B) is correct.
Corinna is taking a test in which short-answer questions are worth 10 points each and essay questions are worth 15 points each. She estimates that it takes 3 min to answer each short- answer question and 6 min to answer each essay question. The total time allowed is 60 min, and no more than 16 questions can be answered. Assuming that all her answers are correct, how many questions of each type should Corinna answer in order to get the best score?
Answers
Are all electrolytes the same in their indications? Explain
The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?
Point A(6,9) is diluted by scale factor K(2/3) and center at the coordinate (0,0). What are the coordinates of the image?
(25 points, i couldn't find anything with all subjects so i just put mathematics)
Answers
Answer:
16/24
Step-by-step explanation: Multiply the fractions....( / )
By one by one then divided them together.
Apply the distributive property to convert the expression to the greatest common factor multiplied by a term in parenthesis.
36a+9=
40+50d=
28-7f=
Answers
Answer:
9(4a+1)=
10(4+5d)=
7(4-f)=
Step-By-Step Solution:
The greatest common factor is the largest number that both numbers can be divided by. For example, in #1, 36 and 9 can both be divided by 9 to become 4 and 1.
What is the LCM of eight and nine
Answers
Answer: LCM: 72
Step-by-step explanation:
8: 8, 16, 24, 32, 40, 48, 56, 64, 72
9: 9, 18, 27, 36, 45, 54, 63, 72
Answer:
the anser is 8 and 9 is 72 so 72
please help me im very behind
Answers
Answer:
I think its d. a13=23
Plz correct me If I am wrong
Step-by-step explanation: