Answers
Answer:
Step-by-step explanation:
The Volume of a cylinder is given by the formula:
\(V= \pi * r^{2} *h\)
Where:
\(\pi\) is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.
\(r^{2}\) is the radius of the cylinder base
\(h\) is the height of the cylinder
Therefore:
\(V=3.14 * 4^{2} *14\\V=3.14*16*14\\V=703.36ft^{3}\)
Related Questions
A kite is flying 99 ft off the ground, and it's strong is pulled taut. The angle of elevation of the kite is 41°. Find the length of the string. Around your answer to the nearest tenth
Answers
Answer:
the length of the string=150.9
Step-by-step explanation:
height of a kite=99 ft
angle of elevation =41
use formula
sin 41= opposite/hypotenuse( opp is the elevation, hypotenuse is the string)
sin 41 = 99/hyp.
hyp.=99/sin41
hyp= (99)/(0.65605902)
hyp.=150.9( rounded to the nearest tenth)
Please help I’ll give brainliest
Answers
Answer:
last option
Step-by-step explanation:
7 is the most significant value
A political campaign wants to estimate the number of adult residents who voted in the last city election. Answer the following.
Answers
To estimate the number of adult residents who voted in the last city election, the political campaign could conduct a survey of a representative sample of adults in the city.
The survey would ask respondents whether they voted in the last city election, and the results could be used to estimate the proportion of adult residents who voted.
Here are some additional considerations:
Sample size: The sample size should be large enough to ensure that the results are statistically significant and representative of the population. A larger sample size generally leads to more accurate estimates, but it also requires more resources to collect and analyze the data.
Sampling method: The survey should use a random sampling method to ensure that every adult resident in the city has an equal chance of being selected for the survey. This can help to minimize bias and improve the accuracy of the results.
Response rate: The response rate is the percentage of people who respond to the survey. A higher response rate generally leads to more accurate estimates, but it can be challenging to achieve a high response rate.
Margin of error: The margin of error is a measure of the accuracy of the survey results. It indicates how much the survey results may differ from the true population proportion. A lower margin of error indicates more accurate results, but this requires a larger sample size.
Overall, estimating the number of adult residents who voted in the last city election requires careful planning and execution of a representative survey. By following best practices in survey design, the political campaign can obtain accurate and actionable information to guide their campaign strategy.
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A political campaign wants to estimate the number of adult residents who voted in the last city election. Answer the following. (a) Which of the following surveys probably would best represent the entire adult population of the city? 20 homeowners are randomly selected; 13 voted in the last election. 20 adult residents are randomly selected from the city; 10 voted in the last election. 20 senior residents are randomly selected; 15 voted in the last election. (b) There are 23,700 adults who live in the city. Using your answer from part (a), estimate the number of adults who voted in the last city election. | adults X 5.
Can you pls help me with this question thank you what does the x equal??
Answers
Write the mixed fraction on the right side as a proper fraction.
\(\begin{gathered} 3\frac{3}{8}=\frac{3\cdot8+3}{8} \\ =\frac{27}{8} \end{gathered}\)The given equation becomes
\(\begin{gathered} \frac{3}{8}x=\frac{27}{8} \\ 3x=27 \\ x=\frac{27}{3}=9 \end{gathered}\)The value of x is 9.
In parallelogram FGHJ
Answers
x = 60°
when 50 v is applied to four series resistors, 100 a flows. if r1 is , r2 is , and r3 is , what is the value of r4?
Answers
The value of resistor R4 is 0.5 minus the sum of resistors R1, R2, and R3.
We have,
To find the value of resistor R4, we can use Ohm's Law and the formula for calculating the total resistance in a series circuit.
In a series circuit, the total resistance (R_total) is the sum of the individual resistances:
R_total = R1 + R2 + R3 + R4
We are given that a voltage of 50 V is applied and a current of 100 A flows through the circuit.
Using Ohm's Law (V = I * R), we can calculate the individual voltage drops across each resistor:
V1 = I x R1
V2 = I x R2
V3 = I x R3
V4 = I x R4
Since the voltage across each resistor is equal to the total applied voltage (50 V), we can write the following equations:
V1 + V2 + V3 + V4 = 50
Substituting the voltage values using Ohm's Law:
(I x R1) + (I x R2) + (I x R3) + (I x R4) = 50
Simplifying the equation:
I x (R1 + R2 + R3 + R4) = 50
Substituting the given values for the current (I = 100 A) and resistors R1, R2, and R3:
100 x (R1 + R2 + R3 + R4) = 50
Solving for R4:
R1 + R2 + R3 + R4 = 50/100
R4 = 0.5 - (R1 + R2 + R3)
Therefore,
The value of resistor R4 is 0.5 minus the sum of resistors R1, R2, and R3.
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A sample of 500 College students was surveyed on a variety of topics. Here are the results for some of the survey questions.
Results:
Accounting – 84; Business Administration – 147; Computer Networking – 55;
Digital Media – 48; Health Information Management – 52; Medical Assistant Management – 114
Table 2: Program of Study (Major) for Sample of 500 CW Students
What proportion of students is in Digital Media or Computer Networking?
What percentage of students are not Accounting majors?
What is the ratio of Medical Assistant Management students to Health Information Management students?
What is the ratio of Accounting and Business Administration students to Computer Networking students?
Make two observations about the choice of major among this sample
Answers
Based on the given data, the proportion of students in Digital Media or Computer Networking can be calculated by adding the number of students in both majors and dividing by the total number of students in the sample.
That is:
Proportion of students in Digital Media or Computer Networking = (55 + 48) / 500 = 0.206
Therefore, approximately 20.6% of the sample is in Digital Media or Computer Networking.
To calculate the percentage of students who are not Accounting majors, we need to subtract the number of Accounting majors from the total number of students and then divide by the total number of students, as follows:
Percentage of students who are not Accounting majors = (500 - 84) / 500 x 100% = 83.2%
Thus, 83.2% of the sample are not Accounting majors.
The ratio of Medical Assistant Management students to Health Information Management students can be computed by dividing the number of Medical Assistant Management students by the number of Health Information Management students, i.e.,
Ratio of Medical Assistant Management students to Health Information Management students = 114 / 52 = 2.1923 (rounded to four decimal places)
Therefore, the ratio of Medical Assistant Management students to Health Information Management students is approximately 2.1923.
The ratio of Accounting and Business Administration students to Computer Networking students can be calculated by adding the number of Accounting and Business Administration students and dividing by the number of Computer Networking students, i.e.,
Ratio of Accounting and Business Administration students to Computer Networking students = (84 + 147) / 55 = 4.0182 (rounded to four decimal places)
Hence, the ratio of Accounting and Business Administration students to Computer Networking students is approximately 4.0182.
Observation 1: Business Administration is the most popular major among the surveyed students with 147 students, followed by Medical Assistant Management (114 students) and Accounting (84 students).
Observation 2: The proportion of students in the Digital Media and Computer Networking majors is relatively low compared to other majors, with only 20.6% of the sample choosing these majors.
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What is the measure of the indicated central angle ? A. None of the above B. 20° C. 15° D. 10° E. 25°
Answers
Answer:
b
Step-by-step explanation:
Determine the common factor and HCF for each of the following terms.
1)8y,12y
2)2b,3b
3)3w,5w²
Answers
Answer:
Step-by-step explanation:
1) 8y = 2 * 2 * 2 * y
12y = 2 * 2 * 3 * y
Common factors = 2 , 2 , y
HCF = 2*2y = 4y.
2) 2 b = 2 *b
3b = 3 * b
Common factor = b
HCF = b
3) 3w = 3 *w
5w² = 5 * w * w
Common factor = w
HCF = w
Malik wants to make a cubic frame using a piece of wire with a length of 150cm.If the volume of the cube is 2197 cm cube , is the length of the wire sufficient? Give a reason for your answer
Answers
Answer:
Yes, the wire is sufficient for making a cube of volume 2197 cm³
Step-by-step explanation:
Volume of cube = L³
Volume of the cube = 2197 cm³
Length of the wire = 150 cm
Let's see if the wire is sufficient for making a cube.
Volume of the cube that could be made from the wire is:
V = (L)³
V = (150)³
V = 3,375,000 cm³
So,
The volume of the cube using a 150 cm length wire is much more grater than 2197 cm³.
That is why, the wire is sufficient for making a cube of volume 2197 cm³.
Find 45% of 50. Round your answer to the nearest tenth place if necessary.
Answers
Answer:
22.5
Step-by-step explanation:
45% = .45
.45 x 50 = 22.5
REMEMBER: "Of" Always means to multiply.
Answer:
Step-by-step explanation:
22.5 but if you wanna round it will be 23 cmon
_
-0.38 written as a fraction is ._____
O -7/18
O 2/5
O -15/36
Answers
Answer: The correct answer is: [A]: " \(-\frac{7}{18}\) " ; or, write as: " \(\frac{-7}{18}\) " .
__________
Step-by-step explanation:
__________
We are asked:
What is: " - 0.38 " ; written as a fraction? ;
→ And we are given 3 (three) answer choices:
__________
[A]: " -7/18 " ; [B]: " 2/5 " ; and: [C]: " -15/36 ".
__________
Of these 3 (three) choices:
We can rule out "Choice [B]".
Reason: This answer choice is the only "positive value" among the 3 (three) answer choices) ; and our given decimal value is a "negative value."
__________
So we have: Choices: [A] & [C].
__________
Between: [A]: " -7/18" ; and [C]: "-15/36 " ;
We can look at each choice; and notice the following:
1) Answer choice [C]: can be further simplified as a fraction; since both the numerator AND the denominator can be divided (evenly) by "3":
\(\frac{-15}{36} = \frac{(-15/3)}{(36/3)} = \frac{-5}{12}\) ;
2) Choice [C]: has a denominator of "36" .
Choice [A]: has a denominator of "18" ; which is "one-half" the value of "36" .
So: Choice: [A}: " -7/18 " :
→ \(\frac{-7}{18} = \frac{?}{36}\) ;
→ Looking at the denominators:
" 18 * ? = 36 " ;
Divide each side by "18" ;
" (18 * ?)" / 18 = 36/18 ;
" ? = 2 " ;
→ " \(\frac{-7}{18} = \frac{(-7*2)}{(18*2)} = \frac{-14}{36}\) " ;
Choice [C]: " -15/36 " :
→ " \(\frac{-15}{36} = \frac{?}{18}\) " ;
→ Looking at the denominators:
" 36 ÷ ? = 18 " ;
→ " \(\frac{36}{?} = 18\) " ;
→ " \(18*? = 36\) " ;
Divide each side by "18" ;
" (18 * ?)" / 18 = 36/18 " ;
" ? = 2 " ;
→ " \(\frac{-15}{36} = \frac{(-15/2)}{(36/2)}=\frac{-7.5}{18}\) "
Additionally: other:
→ " \(\frac{-15}{36} = \frac{(-15/3)}{(36/3)}=\frac{-5}{12}\)
__________
So, we are left with 2 (two) answer choices:
__________
Choice: [A]: " \(\frac{-7}{18} = \frac{-14}{36}\) " ;
__________
Choice: [C]: " \(\frac{-15}{36} = \frac{-7.5}{18} = \frac{-5}{12}\) " ;
__________
Using a calculator:
__________
Choice: [A]: " \(\frac{-7}{18}\) = ( -7 ÷ 18) = - 0.3888888888.... " ;
And:
Choice: [C]: " \(\frac{-15}{36}\) = ( -15 ÷ 36) = -0.41666666666 ;
__________
So: The best answer—and correct answer—is clearly:
__________
Answer choice: [A]: " \(- \frac{7}{18}\) " ; or write as: " \(\frac{-7}{18}\) " .
__________
Also: Note: Choice: [A]: " - 7/18 " ;
→ " (- 7 ÷ 18 = - 0.38888888888... )" ; using calculator.
__________
Note that the digits "8" keep repeating.
Note that this very Brainly question:
__________
" https://brainly.com/question/24891747 " ;
__________
Is written as follows:
__________
" _
-0.38 written as a fraction is ._____ ....and continues" ;
__________
→ so it could have been written meaning to denote that there was a "repeating bar" on the digit "8" in the decimal.
→ If so, here is one way the answer could be solved without a calculator:
__________
{We would rule out "choice: [B]: \(\frac{2}{5}\); a positive value; equal to: " + 0.4".}. ;
__________
Assuming: we are given: " - 0.38 ; with a repeating bar on the (digit; "8") ;
meaning the "8" goes on infinitely:
__________
Let: x = - 0.38 (with the repeating bar on the (digit, "8" ) ;
And thus: "10x" would equal "10 times that value:
→ 10x = - 3.8 (with a repeating bar on the (digit, "8") ;
__________
10x − 1x = 9x ;
__________
10x = - 3.8888888888888888888......
− 1x = - 0.38888888888888888888......
______________________________
9x = - 3.5 00000000000000000000.
{Note: " 10x − 1x = 9x " ; " - 3.8 − (-0.3) = - 3.8 + 0.3 = -3.5 "} ;
__________
→ 9x = - 3.5 00000000000000000000 ....
__________
→ 9x = - 3.5 ;
__________
Now, divide Each Side of the equation by "9" ;
to isolate "x" on one side of the equation;
and to solve for "x" :
__________
→ 9x / 9 = - 3.5 / 9 ;
to get:
→ x = - 3.5 / 9 ;
__________
Now, to get rid of the decimal value; multiple each side of the equation by "10" :
__________
→ " x = \(\frac{-3.5}{9} = \frac{(-3.5)*10}{9*10} = \frac{-35}{90}\) " ;
This fraction is not among choices [A] or [C]; and it can be further reduced/simplified:
→ " \(\frac{-35}{90}\) " ; Divide Each side by "5" :
__________
→ " \(\frac{(-35/5)}{(90/5)} = \frac{-7}{18}\) " ;
→ which is: Answer choice: [A]: " \(\frac{-7}{18}\) " .
__________
Hope this lengthy explanation is of help to you!
Best wishes!
__________
The temperature was -2°F in the afternoon and is now -30°F. How many degrees did it drop?
Answers
Answer:
28°
Step-by-step explanation:
Let's take 'x' as the number of how much degrees it dropped. So this is how the equation will look like:
-2 - x = -30
It is '-x' since the temperature 'decreased', so you must a subtract.
Take -30 to the other side and substitute it with '-x'. Since both the terms are shifted, -30 will be +30 and -x will be +x (which is equivalent to x).
x = -2 + 30
x = 28°
∴ There was a 28° drop.
Which equation matches the graph
Give me answers plz
Answers
5x -8y =40
To help with graphing use Desmos. It’s a really great graphing app.
7|x -9| -5 = -3|x -9| + 257∣x−9∣−5=−3∣x−9∣+25
Choose 1 answer:
(Choice A)
A
Only x=6x=6x, equals, 6
(Choice B)
B
Only x=12x=12x, equals, 12
(Choice C)
C
x=6x=6x, equals, 6 or x=12x=12x, equals, 12
(Choice D)
D
Only x=-6x=−6x, equals, minus, 6
(Choice E)
E
There are no solutions
Answers
Answer:Im pretty sure its choice B
Step-by-step explanation: its hard to explain
If the scale factor between the sides is 5, what are the scale factors between the surface areas and volumes?
Answers
If the scale factor between the sides is 5, the scale factor between the surface areas will be 25, and the scale factor between the volumes will be 125.
When the scale factor between the sides of a shape is given, the scale factors between the surface areas and volumes can be determined by considering the relationship between the dimensions.
Let's denote the scale factor between the sides as "k."
For surface area:
The surface area of a shape is determined by the square of its linear dimensions. Therefore, the scale factor for the surface area will be k^2. In this case, if the scale factor between the sides is 5, the scale factor between the surface areas will be 5^2 = 25.
For volume:
The volume of a shape is determined by the cube of its linear dimensions. Hence, the scale factor for the volume will be k^3. Given that the scale factor between the sides is 5, the scale factor between the volumes will be 5^3 = 125.
Therefore, if the scale factor between the sides is 5, the scale factor between the surface areas will be 25, and the scale factor between the volumes will be 125.
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The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches find the demensions of the rectangle
Answers
Answer:
W-18inches L-21inches
Step-by-step explanation:
42-6 = 36/2 = 18
Width is 18 inches
and
Length is 21 inches
A carton of grapefruit juice displays the nutritional information shown below. How many grams of sugar are there in a 200 ml glass of juice? Grapefruit juice 250 ml contains Carbohydrate Sugar Protein 19.5 g | 16.5 g | 1.5 g
Answers
Answer:
13.2 g
Step-by-step explanation:
let x = grams sugar in a 200 ml glass
16.5 g sugar / 250 ml = x g sugar / 200 ml
x(250) = (16.5)(200)
x = (16.5)(200) / (250) = 3300 / 250 = 13.2
Answer: there are 13.2 g sugar in a 200 ml glass of juice
When multiplying units, use the same principle that you use for multiplying fractions. In addition, ifone unit is in the numerator and the identical unit is in the denominator, they cancel each other out (to essentially equal 1). Any remaining units are used in the answer. ( centimheter) ( centimeter meter )=1 meter = meter You can also multiply several units together at once using the same principle as for fractions containing numbers. ( second centipheters )( centimeter meter )( meters kilopreter )( kilopeter megameter )= second megameter It is very important to note that if a unit appears only once in the numerator but more than once in the denominator, we can only cancel one of the unit expressions in the denominator. Think of this concept in terms of fractions. If the number 4 is in the numerator, and two 45 are in the denominator of different fractions, we only cancel out one of the 45 on the bottom, not both. (54)(43)(41)=(5∗4)(3∗1)=203=0.15 Evaluate the following unit expression. Enter the resulting units as your answer. Do not abbreviate the units and do not use parentheses. Parentheses mean multiplication. ( kilogram )( kilogram grams )( gram milligrams )= Evaluate the following unit expression. Enter the resulting units as your answer. Do not obbreviate the units and do not use parentheses. Parentheses mean multiplication. ( mole )( mole grams )( gram liter )= Evaluate the following unit expression. Enter the resulting units as your answer. Do not abbreviate the units. Enter units exactly as they anpear in the problem. Use ^ for exponents (so ft∧2forft2 ). Use " for multiplication and / for division. Do not include any spaces and not use parentheses. Parentheses mean multiplication. (mL)(cmmg)( mLcm3)=(mL)(cmmg)( mLcm∗ cm∗ cm)= Evaluate the following unit expression. Enter the resulting units as your answer. Do not abbreviate the units. Enter units exactly as they annear in the problem. Use ∧ for exponents ( so ft∧2for22). Use " for multiplication and / for division. Do not include any spaces and not use parentheses. Parentheses mean multiplication. (f2g)(mLft)(gmL)=(ft∗ftg)(mLft)(gmL)=
Answers
The resulting units are kilograms grams milligrams, mole grams liter, ft^2g mL ft gmL
To evaluate the given unit expressions, we can apply the rules of multiplying units similar to multiplying fractions.
(kilogram)(kilogram grams)(gram milligrams):
The units cancel out as follows:
(kilogram)(kilogram grams)(gram milligrams) = (kilogram)(grams)(milligrams)
Therefore, the resulting units are kilograms grams milligrams.
(mole)(mole grams)(gram liter):
The units cancel out as follows:
(mole)(mole grams)(gram liter) = (mole)(grams)(liter)
Therefore, the resulting units are mole grams liter.
(mL)(cmmg)(mLcm3):
The units cancel out as follows:
(mL)(cmmg)(mLcm3) = (mL)(cm mg)(cm^3)
Therefore, the resulting units are mL cm mg cm^3.
(f^2g)(mLft)(gmL):
The units cancel out as follows:
(f^2g)(mLft)(gmL) = (ft^2g)(mLft)(gmL)
Therefore, the resulting units are ft^2g mL ft gmL.
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In a group of seventeen people, five play guitar and six play piano. Only two people play both piano and guitar. Which two-way table represents the data?
Answers
Answer: Picture Below
Step-by-step explanation:
Took the test
4(y-4)=8
ANSWER WITH EXPLINATION PLEASE
Answers
Answer:
y=6
Step-by-step explanation:
4(y-4)=8
4×y-16=8
4×y=8+16
4×y=24
y=6
4(6-4)=8
4×2=8
URGENT WILL MARK BRAINLIEST!
In words Create a conditional and it’s converse where the conditional is true but the converse is false.
Answers
Answer:
Condition:
If a series converges, then the terms of the series approach 0.
Converse:
If the terms of a series approach 0, then the series converges.
write a word phrase for the algebraic expression: 4/n
Answers
Answer:
the dividend of 4 divided into a number
Step-by-step explanation:
not sure if this is what is meant by the question but since 4 is being divided by n that's what I assume
The expression (x-6)^2 is equivalent to
Answers
Answer:
2−12x+36
Step-by-step explanation:
Answer:
(x-6)² = (x-6)(x-6) = x² - 12x + 36
Step-by-step explanation:
4. Danielle invested $2,300 in a savings account. After 9 years she had made $1,449 in interest. What was the interest rate for this account?
Answers
Answer:
7% per year
Step-by-step explanation:
The formula for Simple Interest rate is given as:
r = (1/t)(A/P - 1)
Where:
t = time in years = 9 years
P = Initial amount invested = $2300
A = Total amount after t years
= Interest + Principal
= $2300 + $1449
= $3749
r = (1/9) × ($3749/$2300 - 1)
r = 0.07
Converting r decimal to R a percentage
R = 0.07 * 100 = 7%/year
When David counted his candy by fours, he had two leftovers. When he counted the same candy by fives he had one leftover. How many pieces of candy does he have?
Answers
Answer:
6
Step-by-step explanation:
6 divided by 4 = 1 + 2 leftover
6 divided by 5 = 1 + 1 leftover
Suzie, Georgia and Bernadette do a project together. Suzie does 5/18 of the project, Georgia does 2/9 of the project and Bernadette does 1/2 of the project
How much of the project should still be completed? And who do you think should do the last section of the project?
Answers
Answer:
the project has been completed.
Step-by-step explanation:
5/18 +4/18 + 9/18 = 18/18 or 1
so therefore no one has to complete the project, as it has already been completed
please help. i need to get my math grade up quickly
Answers
Answer:
imagine using savvas ♀️♀️♀️♀️♀️♀️♀️♀️
at memorial hospital, jamie operates a new state-of-the-art mri scanner that serves approximately 10 patients during an 8-hour shift. patients are scheduled for various lengths of time, depending on the complexity of their scan. the image quality is significantly superior to what it was on previous scanners, but the number of patients served per day remains the same. this situation attests to the fact that
Answers
The image quality is significantly superior to what it was on previous scanners, but the number of patients served per day remains the same. this situation attests to the fact that the service sector has seen improvement in quality of service, but productivity remains about the same.
Improvement in quality of service:
Putting the customer first, balancing efficiency and customer satisfaction (experience), and focusing on employee engagement are three key strategies for improving contact center service quality.
Productivity:
Productivity is the efficiency with which goods and services are produced and is represented by a scale. A measure of productivity is often expressed as a ratio of total output to a single input or total input in a production process. Typically the output per unit of input over a period of time. The most common example is a measure of (aggregate) labor productivity, an example of which is GDP per worker. There are various definitions of productivity (including those not defined by the ratio of outputs to inputs), and the choice depends on the purpose of measuring productivity and the availability of data gain. The main reason for differences in different measures of productivity usually has to do with how outputs and inputs are aggregated (directly or indirectly) to obtain such relative measures of productivity doing conduct.
Importance of Productivity:
Productivity gains are defined as the process of getting more out of every hour of work. Improving productivity can take many forms, including: Capital, Investments in equipment, software, infrastructure, machinery, etc. equate to labor. Productivity is important for individuals (workers and consumers), business leaders, and analysts(such as policy makers and government statisticians).
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1. Garbage Production. Based on a sample of 62 households, the mean weight of discarded plastic is 1.93 pounds and the standard deviation is 1.08 pounds (data from the Garbage Project at the University of Arizona). Use a single value to estimate the mean weight of discarded plastic for all households. Also, find the 90% confidence interval.
Answers
Answer:
The answer is below
Step-by-step explanation:
Given that:
Mean (μ) = 1.93, standard deviation (σ) = 1.08 pounds, sample (n) = 62.
the mean weight of discarded plastic for all household is given by:
\(\mu_x=\mu = 1.93\ pounds\)
The standard deviation of discarded plastic for all household is given by:
\(\sigma_x=\frac{\sigma}{\sqrt{n} } =\frac{1.08}{\sqrt{62} }=0.137\ pounds\)
The confidence (c) = 90% = 0.9
α = 1 - c = 1 - 0.9 = 0.1
α/2= 0.1/2 = 0.05
The z score of 0.05 corresponds to the z score of 0.45 (0.5 - 0.05) which is 1.645. i.e. \(z_\frac{\alpha}{2}=z_{0.05}=1.645\)
The margin of error (E) = \(z_{0.05}\frac{\sigma}{\sqrt{n} }=1.645*\frac{1.03}{\sqrt{62} }= 0.2256\)
The confidence interval = \(\mu \pm E=1.93 \pm 0.2256=(1.7044,2.1556)\)
We are 90% confidence that the value is between 1,7044 and 2.1556