If Christopher measured a line to be 12.2 inches long. If the actual length of the line is 12.1 inches, the percent error of the measurement, to the nearest tenth of a percent is: 0.83%.
How to find the percent error?Using this formula to find the percent error
Percent error = Measurement - Actual length / Actual length
Let plug in the formula
Percent error = 12.2 - 12.1 / 12.1
Percent error = 0.1 /12.1
Percent error = 0.0083 or 0.83%
Therefore we can conclude that the percent error is 0.83%.
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Make x the subject of h = 4(x + 3y) + 2
A national survey asked 1,501 randomly selected employed adults how many hours they work per week. Based on the collected data, a 95 percent confidence interval for the mean number of hours worked per week for all employed adults was given as (41.18, 42.63). Which of the following statements is a correct interpretation of the interval?
A. Ninety-five percent of all employed adults work between 41.18 hours and 42.63 hours per week.
B. The probability is 0.95 that a sample of size 1,501 will produce a mean between 41.18 hours and 42.63 hours.
C. Of all samples of size 1,501 taken from the population, 95% of the samples will have a mean between 41.18 hours and 42.63 hours.
D. We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
E We are 95% confident that the mean number of hours worked per week for all employed adults is between 41.18 hours and 42.63 hours.
Answer:
C
Step-by-step explanation:
The correct statement about the interpretation of the interval is
We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
Option D is the correct answer.
What is a confidence interval?A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.
It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.
We have,
We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
This is the correct interpretation of the 95% confidence interval given for the mean number of hours worked per week for all employed adults, based on the data collected from the random sample of 1,501 employed adults.
It means that if we were to take many random samples of 1,501 employed adults from the population and calculate the mean number of hours worked per week for each sample, we can be 95% confident that the true population mean lies between 41.18 hours and 42.63 hours.
Thus,
The correct statement about the interpretation of the interval is
We are 95% confident that the mean number of hours worked per week for employed adults in the sample is between 41.18 hours and 42.63 hours.
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Which equation justifies why ten to the one third power equals the cube root of ten?
ten to the one third power all raised to the third power equals ten to the one third plus three power equals ten
ten to the one third power all raised to the third power equals ten to the one third times three power equals ten
ten to the one third power all raised to the third power equals ten to the three minus one third power equals ten
ten to the one third power all raised to the third power equals ten to the one third minus three power equals ten
The equation that justifies ten to the one third power equals the cube root of ten is ten to the one third power all raised to the third power equals ten to the one third times three power equals ten. Option B
How to justify the powerwe are to find [tex]10^{\frac{1}{3} } = \sqrt[3]{10}[/tex]
The justification has to be done with the use of the properties of powers as well as roots.
[tex]a^\frac{m}{n} = \sqrt[n]{a^m}[/tex]
then we would have:
[tex]\sqrt[3]{10} = \sqrt[3]{10^1} =10^\frac{1}{3}[/tex]
then we would have
[tex](10^\frac{1}{3} )^3\\\\= 10^\frac{3}{3}[/tex]
= 10
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Consider the set {1, 2, 3, 4}.
a. Make a list of all samples of size 2 that can be drawn from this set of integers.
b. Construct the sampling distribution of sample means for samples of size 2 selected from this set.
c. Provide the distribution both in the form of a table and histogram.
Answer:
(a)
[tex]List = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),\\(4,1),(4,2),(4,3).(4,4)\}[/tex]
(b) Sampling Distribution (Table)
[tex]\begin{array}{cccccccc}{\bar x} & {1} & {1.5} & {2} & {2.5} & {3} & {3.5} & {4} & {Pr}& {\frac{1}{16}} & {\frac{1}{8}} & {\frac{3}{16}} & {\frac{1}{4}} & {\frac{3}{16}} & {\frac{1}{8}} & {\frac{1}{16}} \ \end{array}[/tex]
(b) Sampling Distribution (Histogram)
See attachment
Step-by-step explanation:
Given
[tex]Set = \{1,2,3,4\}[/tex]
[tex]n =4[/tex]
Solving (a): A list of sample size 2
We have:
[tex]n =4[/tex]
[tex]r = 2[/tex] --- the sample size
First, we calculate the number of list using permutation (orders matter)
[tex]n(List) = n^r[/tex]
So, we have:
[tex]n(List) = 4^2[/tex]
[tex]n(List) = 16[/tex]
And the list is:
[tex]List = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),\\(4,1),(4,2),(4,3).(4,4)\}[/tex]
Solving (b): Sample distribution of sample means of (a)
First, calculate the mean of each set using:
[tex]Mean = \frac{Sum}{2}[/tex]
So, we have:
[tex](1,1) \to \frac{1+1}{2} \to 1[/tex] [tex](1,2) \to \frac{1+2}{2} \to 1.5[/tex] [tex](1,3) \to \frac{1+3}{2} \to 2[/tex] [tex](1,4) \to \frac{1+4}{2} \to 2.5[/tex]
[tex](2,1) \to \frac{2+1}{2} \to 1.5[/tex] [tex](2,2) \to \frac{2+2}{2} \to 2[/tex] [tex](2,3) \to \frac{2+3}{2} \to 2.5[/tex] [tex](2,4) \to \frac{2+4}{2} \to 3[/tex]
[tex](3,1) \to \frac{3+1}{2} \to 2[/tex] [tex](3,2) \to \frac{3+2}{2} \to 2.5[/tex] [tex](3,3) \to \frac{3+3}{2} \to 3[/tex] [tex](3,4) \to \frac{3+4}{2} \to 3.5[/tex]
[tex](4,1) \to \frac{4+1}{2} \to 2.5[/tex] [tex](4,2) \to \frac{4+2}{2} \to 3[/tex] [tex](4,3) \to \frac{4+3}{2} \to 3.5[/tex] [tex](4,4) \to \frac{4+4}{2} \to 4[/tex]
Write out the sample means (sorted)
[tex]\bar x =\{1,1.5,1.5,2,2,2,2.5,2.5,2.5,2.5,3,3,3,3.5,3.5,4\}[/tex]
Construct a frequency table
[tex]\begin{array}{cc}{\bar x} & {f} & {1} & {1} & {1.5} & {2} & {2} & {3} & {2.5} & {4} & {3} & {3} & {3.5} &{2} & {4} & {1} & Total & 16\ \end{array}[/tex]
Construct the sampling distribution where the probability is calculated using: [tex]\frac{f}{Total}[/tex]
So, we have:
[tex]\begin{array}{cccccccc}{\bar x} & {1} & {1.5} & {2} & {2.5} & {3} & {3.5} & {4} & {Pr}& {\frac{1}{16}} & {\frac{1}{8}} & {\frac{3}{16}} & {\frac{1}{4}} & {\frac{3}{16}} & {\frac{1}{8}} & {\frac{1}{16}} \ \end{array}[/tex]
Plz help me well mark brainliest if correct!!
Answer:
1 hour
Step-by-step explanation:
Each graph shown lasts for 1/2 hour / 30 minutes
Single payment loan for $1200 repay in 120days interest rate is 7%, what is the maturity value of the loan?
The maturity value of the loan based on the calculation is $1227.72
How to illustrate the interest?From the information, single payment loan for $1200 repay in 120days interest rate is 7% and we want to calculate the maturity value of the loan.
It should be noted that the interest will be calculated as:
= Principal × Rate × Time
= 1200 × 7% × (120/360)
= 1200 × 0.07 × 0.33
= $27.72
Maturity amount = $1200 + $27.72
Maturity amount = $1227.72.
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Someone please help me. I will give you hella points I need this answer to like graduate type
Answer:
$9 and $7Step-by-step explanation:
The first equation:
x + 2y = 23The second equation:
2x + 3y = 39Convert to slope-intercept form:
x + 2y = 23 ⇒ 2y = -x + 23 ⇒ y = -1/2x + 11.52x + 3y = 39 ⇒ 3y = -2x + 39 ⇒ y = -2/3x + 13The graph is attached
Intersection point is (9, 7)
Adult tickets cost $9Child tickets cost $7Please help. the answer is not b
Answer:
I believe its C. If not then it is A. :D
Step-by-step explanation:
Question 5, Please Answer and Explain
The trigonometric ratios for the angle x in the triangle are given as follows:
tan(x) = f/e.cos(x) = e/d.sin(x) = f/d.What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.In the right triangle in this problem, we have that d represents the hypotenuse, while the sides relative to angle x are given as follows:
Adjacent side: length of e.Opposite side: length of f.These sides are used along with the definitions of each ratio to give the three trigonometric ratios of angle x.
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Select the correct answer.
Which statement is true about function f, which is shown in the graph?
f(x) = -805 + 413 + 5x
Answer:
The function is neither even nor odd.
Step-by-step explanation:
A function is odd if:
f(x) = - (f-x)
A function is even if:
f(x) = f(-x)
A function is neither odd nor even if neither of the above two equalities are true, that is to say:
f(x) != f(-x) and f(x) != -f(-x)
Which is our case. (because substituting (-x) in place of (x) will not give us either of the equations. So the function is neither odd, nor even.
A bakery made 100 donuts, in the display case, 40/100 were chocolate, 3/10 were glazed and cinnamon. which fraction of the donuts were cinnamon?
Answer:
57/100
Step-by-step explanation:
Cali made a drawing for her parents for a gift. She wanted to frame it. Her drawing has an area of 96 cm and a width of 8 cm. How many cm of the wooden frame will she need?
Answer: 40 cm
Step-by-step explanation:
The wooden frame needed = perimeter of the drawing
The length of the picture: 96 :8 = 12cm
The perimeter: (12 + 8) x 2 = 40 cm
d= c/n solve for n, I've been trying to solve this by multiplying by n but i want to solve for n so that's wrong thank you guys :D
Answer:
You started correctly....
Step-by-step explanation:
d = c/n Multiply both sides by 'n'
dn = c now divide both sides of the equation by 'd'
n = c/d Done.
A sports statistician claims that the mean winning times for Boston Marathon women's open division champions is 2.68 hours. A sample of 20 randomly is selected Boston Marathon women's open division champions reported a mean winning time of 2.6 hours. Based on the previous records, the standard deviation is 0.32 hour. At 5% level of significance, do you have enough evidence to show that the winning time is different than the claim?
Answer:
Please find the complete question and its solution in the below section.
Step-by-step explanation:
Follows are the null and alternative Hypothesis:
Null Hypothesis [tex]H_0: \mu = 2.68[/tex]
Alternative Hypothesis[tex]H_a: \mu < 2.68[/tex]
<
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a translation.
←++
-7-6-5-4-3/2
A translation by
up/down
7-
6+
6543
У
5-
3-
24
2345
-3-
Determine the translation.
Use non-negative numbers.
-5+
-6-
D'
A
34 9/7
B
2
units to the right/left ✓
and
units
Answer:
1 unit to the left, 3 units down
Step-by-step explanation:
Take any point: I will take D. In order to get to D', you need to travel 1 unit along the x-axis towards the left, then 3 until along the y-axis downwards. The same applies for any other point.
Can y’all help me on question 13?!
Answer:
C
Step-by-step explanation:
20 - 13 = 7
Answer:
C)
Step-by-step explanation:
7 + 13 = 20
The answer is C
simply the following
Answer:
n
Step-by-step explanation:
[tex]\Bigg[\bigg[ [1/n]^{-1}\bigg]^{-1} \Bigg] ^{-1}[/tex]
=[tex]\bigg[ [1/n]^{-1}\bigg]^{(-1) (-1)}[/tex]
=[tex]\bigg[ [1/n]^{-1}\bigg]^{1}[/tex]
=[tex] [1/n]^{-1\times 1}[/tex]
=[tex] [1/n]^{-1}[/tex]
=[tex] [1/n^{-1}][/tex]
= n
Hope it helps you in your learning process
I need help ASAP...please please someone help
Answer:
x = 26
Step-by-step explanation:
180=(4x+10)+(x+40)
180 = 4x + x +10 + 40
180 - 50 = 5x
130 = 5x
130 / 5 = x
26 = x
What is the value of P for the following triangular prism? 19 yd 12 yd 6 yd 18 yd
Answer:
12 yds
Step-by-step explanation:
I just answered it. :)))
Answer:
option C
Step-by-step explanation:
The answer is 12 yd. All you muxt do is find the volume.
Using pi 3 what is the answer
Answer:
12mm
Step-by-step explanation:
circumference (distance around) is equal to πd.
here, if π is 3, we do 3 x the diameter, which is 4. 3 x 4 = 12mm
#la:What is the axis of symmetry?*
#16: What is the vertex? *
Answer:
Vertex: (-1,-4)
Axis of Symmetry: x=-1
Step-by-step explanation:
The vertex is the minimum of the parabola, or (h,k), which is located at (-1,-4)
The axis of symmetry is a vertical line that marks the halfway point of the parabola, which is equal to x=h. Therefore, the axis of symmetry is x=-1
If Jorgen has $4,000,000,000,000 And he wants to buy a truck123456789,-0000000000000000000000000000000000000,00000000000000000000000,00000000000000000000 haw much will he need to save up to buy the truck?
He doesn't need a truck. He can buy an aeroplane.
Answer:
Jorgen would still have enough money for the truck.
Step-by-step explanation:
Seeing as - (or negative) 0000000000000... isn't a real number and you put a comma after the 123456789, Jorgen would actually have enough for the truck. If you actually wanted the truck to be worth 123456789000000000... Jorgen would need to save up more than 9 octovigintillion to reach his goal of getting the truck, and that is one expensive truck.
find the truth value Of 3+4= 12, then 3+2=6
The truth value of "If 3 + 4 = 12, then 3 + 2 = 6", is true.
What is Truth Values?Truth value is defined as whether the given proposition is either true or false, not both.
Here the proposition is of the form if p, then q.
Here p is the statement 3 + 4 = 12 and q is the statement 3 + 2 = 6.
Here, both of the propositions are false.
The truth value of 'if p, then q' is false only when p is true and q is false. In all other cases the truth value is true.
Here, since both of the statements are false, the truth value is true.
Hence the truth value of the given proposition is true.
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Given f(x) and g(x) are polynomials, is the product always a polynomial? Justify your argument.
The product of f(x) and g(x) is , .
select choice(sometimes never always)
a polynomial. By the definition of polynomials the product of polynomials is ,
Select Choice(sometimes never always)
a polynomial because the ,
Select Choice(exponents coefficients variables)
are real numbers and the ,
Select Choice(exponents coefficients variables)
are whole numbers. Real numbers and whole numbers are ,
Select Choice(closed not closed
under addition and subtraction.
The complete statement about the product of the polynomials is that:
The product of f(x) and g(x) is always a polynomial because the coefficients are real numbers and the exponents are whole numbers. Real numbers and whole numbers are closed under addition
How to complete the statementsFrom the question, we have the following parameters that can be used in our computation:
Polynomials f(x) and g(x)
When these polynomials are multiplied;
We get another polynomial
This is because, when you multiply two polynomials you get a sum of monomials.
A sum of monomials is always a polynomial
The sum of monomials stated above implies that the whole exponents and the real coefficients are closed under addition
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or one batch of cookies, Sabrina needs 2 cups of flour. Sabrina is going to make 1, batches of cookies. How much flour will she need? A. О 1 cups B.O 2 cups C. 3 cups D. 3 cups
Answer:
B
Step-by-step explanation:
They basically give the answer.
Answer:
I am a bit confused. You stated that "Sabrina is going to make 1, batches of cookies" and you also wrote "for one batch of cookies, Sabrina needs 2 cups of flour." Hence, your answer should be 2 cups like you previously stated. However, I think that the question is wrong.
Step-by-step explanation:
The graph of a linear function contains the points (4,5), (6, 13). (a, 25). What is the value of a?
4
9
12
36
Answer:
12
Step-by-step explanation:
4,5
6,13
12,24
So I belive it C
please help me with this thank you.
How many edges does the figure have?
3
O
5
6
O O
01
Answer:
It is.... 9! i got it right on edgunity 2022! sorry plase exscuse my spelling! Step-by-step explanation:
Zachary purchased a computer for $1,800 on a payment plan. Three months after he purchased the computer, his balance was 1,350. Five months after he purchased the computer , his balance was 1,050. What is an equation that models the balance B after m Months
Answer: y = -150x + 1800
Step-by-step explanation:
1. Find the linear slope of the line between two points.
(Change in Y)/(Change in X)
2. Write out an equation in point slope form.
(y-y1) = m(x-x1)
y-1800 = -150(x-0)
3. Simplify the equation and turn it into slope-intercept form.
y = -150x + 1800
△ABC ~ △DEF What is the scale factor between them?