Answer:
The 90% confidence interval is [tex] 2.47<\mu < 2.59 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 6
The sample mean is [tex]\= x = 2.53 \ mm[/tex]
The standard deviation is [tex]\sigma = 0.090\ mm[/tex]
Given that the confidence level is 90% then the level of significance is
[tex]\alpha = (100 - 90)\%[/tex]
=> [tex]\alpha = 0.10 [/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Generally the margin of error is mathematically represented as
[tex]E =1.645 * \frac{0.090 }{\sqrt{6} }[/tex]
=> [tex]E = 0.060 [/tex]
Generally 90% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex]2.53 -0.060 <\mu < 2.53 + 0.060[/tex]
=> [tex] 2.47<\mu < 2.59 [/tex]
PLEASE HELP I AM STUCK
12,049=-58,642+y
Answer:
70,691
Step-by-step explanation:
Express $15 for 6 gallons of gas as a unit rate.
Answer: 0.4 gallons per dollar
A single 6-sided die is rolled twice. Find the probability of getting a 3 the first time and a 3 the second time. Express the probability as a simplified fraction.
Answer:
1/36
Step-by-step explanation:
The event is mutually exclusive event. The occurrence of one foew not affect the other.
If a die is rolled once, the total outcome will be 6 since a die has 6 faces.
Probability = expected outcome/total outcome
If 3 is gotten when a die is rolled, the expected outcome will be 1.
Probability of getting a 3 will be 1/6
The probability of getting a3 the second time is also 1/6
The probability of getting a 3 the first time and a 3 the second time = 1/6×1/6 = 1/36
Why do we study?give me reason
Answer:
Simple to help us improve our lives
Answer:
To do good in school
Step-by-step explanation:
the thing is teachers want us to study so we remember whatever is on the test for an example and that is good but not alt of people always study.
Taminka received a raise in her hourly pay, from $13.50 to $14.99. Find the percent change. Round to the nearest percent.
Answer:
[tex]\% = 11\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = \$13.50[/tex]
[tex]Final = \$14.99[/tex]
Required
Determine the percentage change
This is calculated as:
[tex]\% = |\frac{Initial - Final}{Initial} * 100\%[/tex]
[tex]\% = |\frac{13.50 - 14.99}{13.50}| * 100\%[/tex]
[tex]\% = |\frac{-1.49}{13.50}| * 100\%[/tex]
[tex]\% = \frac{1.49}{13.50} * 100\%[/tex]
[tex]\% = \frac{1.49* 100\%}{13.50}[/tex]
[tex]\% = \frac{149\%}{13.50}[/tex]
[tex]\% = 11.037037037\%[/tex]
[tex]\% = 11\%[/tex]
Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. The function g(x)=1.07x is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with a regular price of x dollars?
Answer:
The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963x.
Step-by-step explanation:
Key points:
Discount is subtracted from the regular price of an item.Sales tax is added to the regular price of an item.It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.
Two functions are provided are:
f (x) = 0.90x ; the price of an item after the 10% member discount
g (x) = 1.07x ; the total amount customers pay for a purchase after sales tax is applied.
Compute the total amount a member pays for an item with a regular price of x dollars as follows:
T (x) = Discount × Sales Tax
= 0.90 × 1.07 × x
= 0.963x.
Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963x.
The price of a technology stock was $9.71 yesterday today the price rose to $9.84 find the percentage increase round your answer to the nearest 10th of a percent
Answer:
1.34%
Step-by-step explanation:
In order to find the percentage increase between these two prices, we must first find the difference in price. We calculate this by subtracting the final price by the initial price like so...
$9.84 - 9.71 = 0.13
Now we divide the difference by the initial price to find what percentage of the initial price this difference is, since this percentage difference was added to the initial price to get the new and final price point.
0.13 / 9.71 = 0.013388 ... multiply by 100 to get percent value
0.013388 * 100 = 1.3388% or 1.34% rounded.
Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________
Help me with this question quick PLZz
Answer:7 to 3
Step-by-step explanation:
Answer:
3:10
Step-by-step explanation:
3 Parrots
Total Number of Birds: 3+7=10
karen is an accountant. she finds she spends two fifths of her work day answering emails. if she spent 3.6 hours answering e mails, how many hours was her work day?
he cost of manufacturing a particular videotape is C(x)90009x, where x is the number of tapes produced. The average cost per tape, denoted by , is found by dividing by x. Find .
Answer:
The average cost per tape is 10.
Step-by-step explanation:
The cost of manufacturing a particular videotape is :
C(x) = 9000+9x
Where
x is the number of tapes produced.
We need to find the value of average per tape i.e. [tex]\lim_{x \to 9000} \bar C(x)[/tex]
[tex]\bar C(x)=\dfrac{9000+9x}{x}\\\\=\dfrac{9000}{x}+9\\\\ \lim_{n \to 9000} \bar C(x)=\dfrac{9000}{9000}+9\\\\=1+9\\\\=10[/tex]
So, the average cost per tape is 10.
One month, two search engines were used to conduct a total of 3.52 billion online searches. Search engine A was used to conduct 0.66 billion more searches than search engine B. How many searches were conducted on each search engine?
FAST PLS
Answer:
Search Engine A = 2.09 billion searches.
Search Engine B = 1.43 billion searches.
Step-by-step explanation:
Engine A + Engine B = 3.52 billion
Search engine A was used to conduct 0.66 billion more searches than search engine B
A = 0.66 billon + B
Hence:
0.66 billion + B + B = 3.52 billion
2B = 3.52 billion - 0.66 billion
2B = 2.86 billion
B = 2.86 billion/2
B = 1.43 billion searches.
A = 0.66 billion + B
A = 0.66 billion + 1.43 billion
A = 2.09 billion searches.
Therefore:
Search Engine A = 2.09 billion searches.
Search Engine B = 1.43 billion
Joe is training to run in a half marathon in two months. This week he ran 1, 200,000 millimeters on Monday, 2, 400 meters on
Wednesday, and 4.6 kilometers on Friday. What is the total distance in kilometers that he ran this week?
TI
The total distance he travelled in kilometer is 8.2 km
What is distance?Distance is the total movement of an object without any regard to direction.
Given:
On Monday he walked = 1, 200, 000 mm
On Tuesday he walked= 2,400 m
On Wednesday he walked = 4.6 km
As, 1mm = 1/100,000
1,200,000 mm = 1.2 Km
and, 1 m =1/1000 km
2400m = 2.4 km
Hence, the total distance he travelled = 1.2+ 2.4 + 4. 6 = 8.2 km
Learn more about this concept here:
https://brainly.com/question/3128392
#SPJ2
Is the equation 6x-15y=-12 in standard form? Why or why not
Answer:
2x-5y=-4
Step-by-step explanation:
No, the GCF is 3 not 1
at a Halloween fair, you see a huge Ferris wheel. There are ten seats on the wheel, with two people placed on each seat. Every minute, a seat passes by the exit platform. The Ferris wheel opened for 30 minutes at 11 a.m. and doubled its speed after fifteen minutes. How many people rode the wheel during this time?
This is just a fun question I need answered!
90 people
We are told that;
Total number of seats = 10
Number of people in each seat = 2 Total duration of the Ferris wheel = 30 minutes
For the fist 15 minutes of normal speed, since 2 people were placed on each seat, it means that;Number of people to ride for the first 15 minutes = 15 × 2 = 30 people
Now, the speed has been doubled for the remaining 15 minutes.This means that 2 seats will pass per minute and thus;
Number of people to ride for 15 minutes at this double speed = 15 × 2(2) = 60
2(2) was used because a seat can take 2 people.
Thus, total number to ride the wheel overall = 30 + 60 = 90 peopleRead more at; brainly.in/question/1728461
Use the number line to answer the question. Each tick represents 1 unit.
Which of the following points are neither negative nor positive? Select all that apply.
H
M
L
J
P
K
N
Please help
Answer:
M is niether Negitive or positive
Step-by-step explanation:
Because it is on the zero
mark me brainliest plz
Answer:
Answer:
M is niether Negitive or positive
Step-by-step explanation:
Because it is on the zero
Step-by-step explanation:
16 less than a number r divided by 8
Answer:r/8>16
Step-by-step explanation:
r/8-16
It says 16 less, so we have to subtract 16 from r divided by 8.
That would be r/8-16.
plss helpp !! *worth 25 points*
Answer:
Purple Circle : 28.27
Yellow Circle : 43.98
Step-by-step explanation:
Radius of Purple Circle : 4.5
2 * π * 4.5 = 28.27
Radius of Yellow Circle : 7
2 * π * 7 = 43.98
f(x)=x^2 to f(x)= -4(x+6)^2-3
I need help with mixed numbers when subtracting plz
Answer:
turn it into an improper fraction then subtract
Step-by-step explanation:
5×6=30
30+1=31
31/6
3×6=18
18+5=21
21/6
31/6 - 21/6 = 10/6
simplify: 5/3 ♡
I'm not sure tho lol
What is the following fraction in simplest form 4/16
Answer:
1/4
Step-by-step explanation:
it is 1/4 because 4 dived by 16 is 4 so it is 1/4
Gwendolyn was physically present in the United States for 96 days in 2019, 198 days in 2018, and 66 days in 2017. Under the substantial presence test formula, how many days is Gwendolyn deemed physically present in the United States in 2019 g
Answer:
173 days
Step-by-step explanation:
The formula for substantial presence test is;
SBT = (Total of number of days present in the current tax year) + (1/3)(number of days in the year that was before the tax year) + (1/6)(number of days in the year that was two years before the tax year)
From the question, present tax year is 2019 and number of days is 96 days.
Year before tax year is 2018 and number of days is 198 days
2 years before tax year is 2017 and number of days is 66 days.
Thus;
SBT = 96 + ((1/3)198) + ((1/6)66)
SBT = 173 days
List and give the meaning of the y-intercept in this problem
Answer:
The y-intercept is 360 and it means that the hiking elevation will be 360 feet after 18 minutes
Model a desert community where 48% of the area is covered with houses. Place houses on of the 100 squares to represent or 48% houses.
Answer:
100
Step-by-step explanation:
Answer:
Place houses on
48
of the 100 squares to
represent
48/100
or 48% houses.
Write the equation of the line that is perpendicular to x=7 and passes through point (-3, 5).
If ukuk
Answer: y=5
Step-by-step explanation: I just plotted the given point and graphed the line, then drew a perpendicular line that passed through the point.
Micah found the least common multiple of 8 and 12. His work is shown below.
Multiples of 8: 8, 12, 16, 20, 24, 28, . . .
Multiples of 12: 12, 24, 36, 48, 60, . . .
The least common multiple is 12.
What is Micah’s error?
Answer:when he was doing the multipleis of 8 he put 20 when there is no 20
Step-by-step explanation:
Which rational number equals 0 point 4 with bar over 4?
==============================================
Work Shown:
[tex]x = 0.\overline{4}\\\\x = 0.4444\ldots\\\\10x = 4.4444\ldots\\\\10x-x = 4.4444\ldots-0.4444\ldots\\\\9x = 4\\\\x = \frac{4}{9}\\\\\frac{4}{9} = 0.\overline{4}= 0.4444\ldots\\\\[/tex]
The idea is that when we subtract 10x and x, the infinite decimal pattern (the 4s that go on forever) will cancel. That leads to 9x = 4 which solves to x = 4/9
What is the answer for number 12
Hannah wants to buy a $460 camera. She can save $35 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $65 that she owes him. For how many weeks will Hannah need to save before she can pay back her and buy the camera?
Answer:
460+65=525/35=15 15 weeks
Find the unknown angle measure.
<A + <B + <C = 180 degrees
<A + 72 + x = 180 degrees
<A + x = 180 - 72
<A = 108 degrees.
x = 180 - 108
x = 72
