Answer:
The 99% confidence interval is [tex] 165.776 < \mu < 180.224 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is [tex]\= x = 173 \ days[/tex]
The population standard deviation is [tex]\sigma = 28 \ days[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
[tex]E = 2.58 * \frac{28 }{\sqrt{100} }[/tex]
=> [tex]E = 7.224 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex] 173 -7.224 < \mu < 173 + 7.224 [/tex]
=> [tex] 165.776 < \mu < 180.224 [/tex]
Ellen bought 18 boxes of paper clips. Each box had 150 paper clips. How many paper clips did Ellen buy
Answer:
Ellen bought 2700 paper clips.
Step-by-step explanation:
Total boxes=18
Paper Clips in 1 box=150
Total paper clips=18×150
=2700
Answer:
ellen bought 2700 paper clips
Step-by-step explanation:
total paper clips in a box = 150
total boxes = 18
multiplication = 150×18=2700
In how many ways can the letter of word number taken two at a time
Answer:
So the number of ways of choosing two distinct letters at a time is (42)=6. We can then add the duplicate pairs which are O,O and N,N to give a total of 8 possible pairs.
Answer:
15
Step-by-step explanation:
There are 6 letters in the word number
This is 6 choose 2
This is a combination
The formula is 6! / ( 2! * (6-2)! )
6! / 2! 4!
(6*5*4*3*2*1) / ( 2*1 * 4*3*2*1)
Canceling like factors
(6*5) / ( 2*1)
30/2
15
There are 15 possible ways to have 6 choose 2
What is incorrect About this proof? What needs to be done to correct it?why ?
Is 0,4,8,12 an arithmetic sequence?
write the equation for the line that is parallel to y=2/3x-5 and goes through the point (-12/2)
Answer:
I put the equation into Point-Slope Form and got:
y - 2 = 2/3(x + (-12))
Distribute the 3 to the numbers on the left:
3y - 6 = 2(x - 12)
Multiply the Parenthesis by 2:
3y - 6 = 2x - 24
Add 6 to the right side:
3y = 2x - 18
Divide both sides by 3:
y = 2/3x - 6 is the answer :)
Which number line shows Point A at −4, Point B at 2.5, Point C at −2 and 1 over 2, and point D, which is the opposite of point A?
Answer:
the answer is D
Step-by-step explanation:
Answer:
Your answer would be D
Step-by-step explanation:
:)
Expand and simplify
3(x + 5) + 2(x + 4)
Answer:
5x + 23
Step-by-step explanation:
3 ( x+5) + 2 ( x+4 )
3x+15+2x+8
3x+2x+8+15
5x+23
A baker orders 162 eggs. Each carton contains 18 eggs. Determine the number c of cartons.
Using only the values given in the table for the function, f(x)=x^3-3x-2,
what is the interval of x-values over which the function is decreasing ?
the question is below thanks
Answer:
[tex]10.02[/tex] units
Step-by-step explanation:
[tex]FH = \frac{82}{360} \times 2 \pi r[/tex] (Multiplying the circumference of the circle by the arc's degree over the total degree of the circle will find the length of the arc [tex]FH[/tex])
[tex]FH = \frac{82}{360}\times 2 \pi (7)[/tex]
[tex]=\frac{82}{360}\times14\pi[/tex]
[tex]=\frac{287\pi}{90}[/tex]
[tex]=10.02[/tex] (to the nearest hundredth)
∴ The length of the arc [tex]FH[/tex] is 10.02 units to the nearest hundredth.
Hope this helps :)
Do anybody know geometry?
Answer:
D. 29
Step-by-step explanation:
180 - 151 = 29
14:56 in simplest form?
Answer:
4
Step-by-step explanation:
Hope this helps:)
Answer:
No
Step-by-step explanation:
Simplest form is
1:4
14/14 = 1
56/14 = 4
The speed limit on a highway is 80 miles per hour. How many miles per minute is this?
Answer:
1.3333
Step-by-step explanation:
1.3333
Conversion Table
miles per hour to miles per minute
mph mi/min
80 1.3333
90 1.5
100 1.6667
The speed of this:
70 miles per hour
1 hour = 60 minutes
70/60 = 7/6
around 1 1/6 mile per minute
hope this helps
PLEASE HELP
John runs 8/10 mile everyday. How many miles does he run in 30 days?
Answer:
24 miles
Step-by-step explanation:
(8/10)30=24
(8x30)/10
240/10
24
Answer:
24
Step-by-step explanation:
8/10 = 4/5
(4/5) times 30
= 4 times 6
= 24
Help Pleasee, Thank You!
Answer:
A. 354.20 + 50.60w ≥ 1,099.51
Step-by-step explanation:
$354.20 (her savings)
$50.60 (what she can save every week)
she need to get to a total of (at least) $1,099.51
354.20 (she already have) + 50.60 per week it need to be equal or more than 1,099.51
354.20 + 50.60w ≥ 1,099.51
Write the linear equation in slope-intercept form, 3x − y = 7
Write the equation of the line in fully simplified slope-intercept form.
Step-by-step explanation:
For every 3 squares across, the line drops by 1 square.
Therefore the slope of the lina is -1/3.
The y-intercept of the line is -8 (when x = 0)
The equation of the line is y = -1/3 x - 8.
Natalia wants to put a decorative edge around her flower bed. She already has 4 feet of edging, but she needs enough to edge 95 feet. The edging material comes in rolls 7 feet long.
Write and solve an inequality to find the number of rolls Natalia needs?
Answer:
91 ft ≤ (7 ft)n or n ≤ 13
Step-by-step explanation:
total amount of edging is
e(n) ≤ 4 ft + (7 ft)n
This inequality relates the total length of edging to the number of 7 ft rolls needed.
If Natalia needs 95 ft of edging, we write e(n) ≤ 4 ft + (7 ft)n as
95 ft ≤ 4 ft + (7 ft)n
which simplifies to
91 ft ≤ (7 ft)n or n ≤ 13
Natalia must purchase 13 rolls. This, combined with the initial 4 ft of edging, will be just the right amount of edging to complete the job.
g(x) = x^2 + 55
What is the minimum value of the given function?
Answer:
Step-by-step explanation:
55.
The solution is, the function doesn't have a minimum value.
What is derivative?A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.
here, we have,
given that,
the function is,
g(x) = x^2 + 55
now, we have to find the min. value of the function.
so, we have,
g(x) = x^2 + 55
the 1st order derivative is,
g'(x)= 2x
now, we have, critical point, at g'(x)= 0
i.e. at 2x = 0
or, x = 0
so, min. value is at x= 0 of g''(x),
i.e. g''(x) = 2
so, it doesn't have any minimum value.
Hence, The solution is, the function doesn't have a minimum value.
To learn more on derivative click:
brainly.com/question/12445967
#SPJ2
Macys is having a sale on all shoes, if I buy a pair of boots that are $125 but are now 30% off what is the sale price of the boots?
how do you Graph y = 1/5x+3.
Answer: If you can see with this Image I created, the Y Intercept (3) is dotted on the line. You move one up, and move five units to the right. You keep on doing this until you can make a line (Which I did).
I hope this helps, and Happy Holidays! :)
Answer:
rise
----
run
Something like these
Step-by-step explanation:
find 3 on the vertical line if the graph
then from that point rise 1 time to should get you to 2 on the horizontal axis, run 5 times to get to 7, and keep doing that. opposing that rise over run but with negatives when going from the other side of the graph
.) Mr. Leonard is saving his money for a new Jeep toy. If 30% of the toy Jeep
is $6.00, how much is the toy?
Answer:
i think its 20 dollars
Step-by-step explanation:
hope its right
An average scanned image occupies 0.5 megabytes of memory with a standard deviation of 0.2 megabytes. If you plan to publish 80 images on your web site, what is the probability that their total size is between 49 megabytes and 53 megabytes?
Answer:
Approximately [tex]0.012[/tex] (that's approximately [tex]1.2\%[/tex].)
Step-by-step explanation:
The question did not specify the exact distribution of the size of those images. However, the sample size [tex]n = 80[/tex] is a rather large number. Assume that:
the sizes of these [tex]80[/tex] images follow the same distribution, with mean [tex]\mu = 0.5[/tex] megabytes and standard deviation [tex]\sigma = 0.2[/tex] megabytes.the size of each image is independent of one another.If both assumptions are met, the central limit theorem would apply. This theorem would suggest that the sum of the sizes of these [tex]80[/tex] image (a random variable) will approximately follow a normal distribution. The mean of that sum would be approximately [tex]n\cdot \mu= 80 \times 0.5[/tex]. The standard deviation of that sum would be approximately [tex]\sigma\, \sqrt{n} = 0.2\times \sqrt{80}[/tex].
Let [tex]\displaystyle \Sigma X[/tex] denote the sum of these eighty sizes.
Under these assumption, [tex]\displaystyle \Sigma X \stackrel{\text{app.}}{\sim} \mathrm{N}\left(n\, \mu,\, \sigma\,\sqrt{n}\right)[/tex].
That is: [tex]\displaystyle \Sigma X \stackrel{\text{app.}}{\sim} \mathrm{N}\left({80\times 0.5},\, \left(0.2\times \sqrt{80}\right)^2}\right)[/tex].
The question is asking for the probability [tex]P(49 \le \Sigma X \le 53)[/tex]. Therefore, calculate the [tex]z[/tex]-score that corresponding to [tex]\Sigma X = 49[/tex] and [tex]\Sigma X = 53[/tex]:
For [tex]\Sigma X = 49[/tex], the [tex]z[/tex]-score would be [tex]\displaystyle \frac{\sum X - n\, \mu}{\sigma \sqrt{n}} = \frac{49 - 80 \times 0.5}{0.2\times \sqrt{80}} = 2.25[/tex].For [tex]\Sigma X = 53[/tex], the [tex]z[/tex]-score would be [tex]\displaystyle \frac{\sum X - n\, \mu}{\sigma \sqrt{n}} = \frac{53 - 80 \times 0.5}{0.2\times \sqrt{80}} = 3.25[/tex].Make use of a [tex]z[/tex]-table to find these two probabilities:
[tex]P(X \le 49) = P(Z < 2.25) \approx 0.98778[/tex].[tex]P(X \le 53) = P(Z < 3.25) \approx 0.99942[/tex].Calculate the probability that this question is asking for:
[tex]\begin{aligned}& P(49 \le \Sigma X \le 53) \\ &= P(\Sigma X < 53) - P(\Sigma X < 49) \\ & \approx 0.99942 - 0.98778 \approx 0.012 = 1.2\%\end{aligned}[/tex].
The volume of a rectangular prism is represented by the function x
representing the width of the box.
Ox- 4
OX-1
Ox+1
Ox+4
Answer:
x = 4
Step-by-step explanation:
Hope this helps! Consider Brainiest! <3
True or false: sometimes, a quadratic expression cannot be factored.
Answer:
true
Step-by-step explanation:
During a snowstorm, the snow falls at a constant rate of 2 Inches per hour. Before the storm, there were 5 inches of snow on the ground from a previous storm. The total number of inches of snow, y. can be expressed in terms of the number of hours it snowed, ... Which equation represents this situation? y=2x+2 y=2x+5 y=5x+2 y=5x+5
Answer:
y = 2x + 5
Step-by-step explanation:
y is the amount of snow, and x is the hour. Every our, there is two inches, and the whole equation, you add on 5 because that was at the start
Answer:
y=2x+5
Step-by-step explanation:
This is because the snow falls at two inches PER HOUR. This is why it has an x afte. The +5 is the additional snow the ground had before it started snowing again.
Pls help pls help pls help
A snail can crawl 2/5 of a meter in a minute.
How many minutes will it take the snail to crawl 6 meters?
Please give me an answer A S A P.
I need help with this question will mark brainliest
if f = 3, g = -4 and h = -5
[3-h]+13