Answer:
3/10
Step-by-step explanation:
Find a common denominator for both fractions.
4/5 - 1/2 = 8/10 - 5/10
An internet service provider (ISP) has experienced rapid growth in the past five years. As part of its marketing strategy, the company promises fast connections dependable service. To achieve its objectives, the company constantly evaluates the capacity of its servers. One component of its evaluation is an analysis of the average amount of time a customer is connected and actively using the Internet daily. A random sample of 12 customer records shows the following daily usage times, in minutes.
274 347 283 307 327 314
303 285 280 391 359 325
Interpret the confidence interval estimate.
a. Based on the sample data, with 90% confidence, the ISP can conclude that the sample mean daily usage time is between _____ minute(s) and _____ minute(s).
b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between _____ minute(s) and _____ minute(s).
c. Based on the sample data, the ISP can conclude that 90% of daily usage times are between _____ minute(s) and _____ minute(s).
Using the t-distribution, it is found that the correct interpretation is:
b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).
We can find the standard deviation for the sample, which is why the t-distribution is used to solve this question.
We are given a sample size of [tex]n = 64[/tex].Using a calculator, we find that:
The sample mean is [tex]\overline{x} = 316.25[/tex]The sample standard deviation is [tex]s = 35.68[/tex]The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 12 - 1 = 11 df, is t = 1.7959.
Then:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 316.25 - 1.7959\frac{35.68}{\sqrt{12}} = 297.75[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 316.25 + 1.7959\frac{35.68}{\sqrt{12}} = 334.75[/tex]
From the confidence interval, we can infer about the population mean, hence, the correct option is:
b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).
A similar problem is given at https://brainly.com/question/15180581
escape resort rents snowshoes in the winter the resort changes charges seven dollars per day and a flat fee of three dollars to cover cleaning right in equation that shows how the cost why depends on the length of the rental and days X do not include $in the equation
Answer:
Y=7x+3
Step-by-step explanation:
Triangles FEG and FDH are similar. If segment DH is 28 units, what is the
measure of segment EG?
How many numbers are prime between 40 and 50?
Step-by-step explanation:
Correct answer:
(The primes between 40 and 50 are 41, 43, and 47 - three.
One thousand dollars is deposited into an ordinary annuity after each 6 month period for 2 years. The account pays 4 percent interest compounded semiannually.what is the future value of the account in 2 years ??
Answer:
$4121.61
Step-by-step explanation:
Use the formula for the balance of an ordinary annuity.
A = P((1 +r/n)^(nt) -1)/(r/n)
A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61
The future value of the account is $4121.61.
Can someone please help me
Answer:
question 10
14×50= 700 pages
PLEASE HELP WITH THIS ONE QUESTION (what is meant by “describe” is give all the values of the key features).
Answer:
x-intercepts: (1,0), (−2,0) and (2,0)
y-intercept: (0,4)
The graph is rising and crosses 3 times the x-axis and 1 time the y-axis as shown above.
Will give brainliest if helpful and correct
Answer:
(-2, -1.5)
Step-by-step explanation:
hope this helps!
In a certain chemical the ratio of zinc to copper is 4 to 15. A jar of the chemical contains 345 of copper how many grams of zinc does it contain ?
Answer:
92.
Step-by-step explanation:
By proportion the mass of zinc = (345/ 15) * 4
= 92.
Change 41/7 from an improper fraction to a mixed number.
Answer:
5 6/7
Step-by-step explanation:
how many times does 7 go onto 41?
7 x 5 = 35
remainder is 6 so;
5 6/7
Hey there!
41/7
= (5 * 7 + 6)/7
= (5 * 7)/7 + 6/7
= 5 6/7
= 5 6/7 ≈ 41/7
Therefore, your answer is: 5 6/7
Good luck on your assignment and enjoy your day’
~Amphitrite1040:)
What is negative 10 divided by .22
Answer:
That would be negative 45 or - 45
Please correct me if im wrong
Nina brought 25 cupcakes to school for her friends. There were two flavors, chocolate and vanilla. For every 2 chocolate cupcakes she brought, Nina brought 3 vanilla cupcakes.
How many vanilla cupcakes did Nina take to school? Explain.
The number of vanilla cupcakes that Nina took to school is; 15 vanilla cupcakes
We are given;
Number of cake Nina bought for her friends = 25 cupcakes
There are two flavors namely chocolate and vanilla.
Now, we are told that for every 2 chocolate cupcakes she bought, she bought 3 vanilla cupcakes. Thus;
Fraction of chocolate cupcakes of the total = 2/(2 + 3) = 2/5
Fraction of vanilla cupcakes of the total = 3/5
Thus;
Number of the chocolate cupcakes she bought = 2/5 × 25 = 10 chocolate cupcakes
Number of the vanilla cupcakes she bought = 3/5 × 25 = 15 vanilla cupcakes
Read more at; https://brainly.com/question/14777115
I need help! Does anyone understand?
Answer:
the answer should be G or H
What is the slope of the line ?
Answer:
y = -3x + 4
Step-by-step explanation:
Use the slope intercept equation y = mx + b.
b is the y-intercept which is 4 in this equation.
The slope can be found from a graph using rise over run. This graph is decreasing so the slope is negative. Therefore, the slope is -3.
consider the system of equations. which shows an equivalent system of equations?
see attatched
Answer:
A.
Step-by-step explanation:
All choices show the first original equation.
Each choice shows a different second equation.
Take the second original equation:
6x + 5y = 30
Multiply both sides by -5.
-30x - 25y = -150
Answer: A.
The two legs of a right triangle are and . The hypotenuse is . Solve for in terms of the other variables.
What's the answer I'm very confused.
Answer:
the answer is c
Step-by-step explanation:
u welcome
The value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).
What is the Pythagoras Theorem?According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
How to solve the question?In the question, we are shown a right triangle with the hypotenuse as t, and the legs as r and s.
We are asked to solve for r in terms of other variables.
By Pythagoras theorem in the given right triangle, we can say that:
r² + s² = t², which is the required equation.
To solve for r in terms of other variables, we do as follows:
r² + s² = t²,
or, r² + s² - s² = t² - s² {Subtracting s² from both sides of the equation},
or, r² = t² - s² {Simplifying},
or, r = √(t² - s²) {Square rooting both sides of the equation}.
Thus, the value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).
Learn more about the Pythagoras theorem at
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One non-negative number is the reciprocal of another number. The sum of the two numbers is a minimum. What are the two numbers
The two numbers are 1 and 1.
Let the non-negative number be x and its reciprocal be y = 1/x
The sum of the two numbers is f(x,y) = x + y
= x + 1/x
= f(x)
For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.
So, df(x)/dx = d(x + 1/x)/dx
= dx/dx + d(1/x)/dx
= 1 - 1/x²
Equating it to zero, we have
1 - 1/x² = 0
1 = 1/x²
x² = 1
Taking square-root of both sides, we have
x = ±√1
x = ±1
Since x is non-negative x = + 1
We differentiate f(x) again to determine if this value gives a minimum for f(x).
So, d²f(x)/dx² = d(1 - 1/x²)/dx
= d1/dx - d(1/x²)/dx
= 0 - × (-2/x³)
= 2/x³
Substituting x = 1 into the equation,
d²f(x)/dx² = 2/x³
= 2/1³
= 2 > 0.
So x = 1 is a minimum point for f(x)
Since x = 1 and y = 1/x, y = 1/1 = 1
So, the two numbers are 1 and 1.
Learn more about sum of two numbers here:
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An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost.
Two dice are rolled; the numbers add to 11.
Answer:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
find the slope from the pair of the points
(-3,-4) (1,5)
Answer:
2.25
Step-by-step explanation:
m = 9 / 4 = 2.25
points belong to an increasing, linear function.
Equation: y = 2.25x + 2.75.
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Lin and Diego want to run a race in which they will both finsh when the timer reads exactly 30 seconds. Who should get a head start, and how long should the head start be?
Answer:
Lin needs a 45-meter head start. Lin will travel 120 meters in 30 seconds, and Diego will travel 165 meters in 30 seconds.
Step-by-step explanation:
If 1,600 divided by n = 4, what is the value of n?
A 40
B 400
C4,000
D40,000
Answer:
B) 400
Step-by-step explanation:
To find the value of n, you would have to divide 1600 by 4. 1600/4=400.
Answer:
400
Step-by-step explanation:
1600 4
arrange the given the decimals in ascending order from least to greatest
To arrange in ascending order means to arrange numbers from the smallest value to the greatest value in the set of numbers provided.
9) 3.021 < 3.12 < 3.121 < 3.21
Look at the 1st decimal place after the point first. 0 is less than 2 & 1, so 3.021 is the least number. Now, for 3.12 & 3.121, look at the 3rd place. 3.12 = 3.120, so it’s smaller than 3.121. Then comes 3.21 which is the greatest number in this set.
10) 5.0090 < 5.05 < 5.059 < 5.5
Here, 5.0090 is the smallest number. Then comes 5.05 = 5.050 which is smaller than 5.059. 5.5 is the greatest number.
_________
RainbowSalt2222 ☔
The temperature in antartica is 20 degrees below freezing at night. During the day, the temperature increases
by 30 degrees. What is the daytime temperature?
Answer:
42
Step-by-step explanation:
A parabola can be drawn given a focus of (1,-3) and a directrix of x=9, what can be said about the parabola?
Check the picture below.
well, we can say that since its directrix is a vertical line, the parabola opens horizontally, the focus point is at the left of the directrix thus it opens leftwards, ithas a vertex at (5,-3), recall that the vertex is half-way between the focus point and the directrix.
Converting from the US customary system to the metric system, 16 fluid ounces is approximately equal to a) 1 gallon. O b) 160 milliliters. c) 480 milliliters. O d) 960 milliliters.
Answer:
1 oz = 29.574 ml
16 oz = About 480 ml, so, yes, the answer is C.
Step-by-step explanation:
What is the equation for the line in slope-intercept form?
Given A(-4-5), B(8,-1), C (-5, 9), and D (2,8) determine whether AB is parallel,
perpendicular, or neither to CD
Answer:
neither
Step-by-step explanation:
If 2 lines are parallel then their slopes are equal
If 2 lines are perpendicular then the product of their slopes = - 1
Calculate the slopes m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 4, - 5 ) and (x₂, y₂ ) = B (8, - 1 )
[tex]m_{AB}[/tex] = [tex]\frac{-1-(-5)}{8-(-4)}[/tex] = [tex]\frac{-1+5}{8+4}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]
Repeat
with (x₁, y₁ ) = C (- 5, 9 ) and (x₂, y₂ ) = D (2, 8 )
[tex]m_{CD}[/tex] = [tex]\frac{8-9}{2-(-5)}[/tex] = [tex]\frac{-1}{2+5}[/tex] = - [tex]\frac{1}{7}[/tex]
The slopes are neither equal nor have a product of - 1
negative seven times a number is negative two hundred forty five. what is the number?
pleasee i need help
Answer:
35
Step-by-step explanation:
since i couldn't answer before
can someone help with this
Step-by-step explanation:
A. n is the number of persons excluding chaperones
B. The equation describes the situation where the total admission cost at orchard A is equal to that of B. (This happens at n=17 persons)
C. For which number of persons is orchard A cheaper than orchard B? (It will be for n is more than 17 persons, but there is no requirement to calculate this).
The scale for a map to actual distance is 2 centimeters to 100 miles. The driving distance on the map between Los Angeles and Las Vegas is 5.4 centimeters. What is the actual distance, in miles, between Los Angeles and Las Vegas?
[tex]\begin{array}{ccll} \stackrel{cm}{map}&\stackrel{mi}{actual}\\ \cline{1-2} 2&100\\ 5.4&x \end{array}\implies \cfrac{2}{5.2}=\cfrac{100}{x}\implies 2x = 520\implies x = \cfrac{520}{2}\implies x = 260[/tex]