Solution :
Let [tex]$x_i$[/tex] represents the prices for the digital camera.
[tex]$x_i$[/tex] [tex]$x_i^2$[/tex]
225 50625
236 55696
217 47089
202 40804
231 53361
185 35225
193 37249
185 34225
217 47089
[tex]$\sum x_i = 2136$[/tex] [tex]$\sum x_i^2 = 460388$[/tex]
Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]
[tex]$=\frac{2136}{10}$[/tex]
= 213.6
Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]
[tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]
= 46038.8 - 45624.96
= 413.84
Therefore, standard deviation,
[tex]$\sigma = \sqrt{Var}$[/tex]
[tex]$=\sqrt{413.84}$[/tex]
= 20.343
Now to find the 93% confidence interval, the formula us
[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
For 93%, the value of z is 1.81
∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]
[tex]$=213.6 \pm 11.6438$[/tex]
Therefore, lower bound = 213.6 - 11.6438
= 201.9562
Upper bound = 213.6 + 11.6438
= 225.2438
∴ [tex]$201.9562 < \mu < 225.2438$[/tex]
or [tex]$202< \mu < 225.2$[/tex]
Parrots can develop cognitive issues as they get older. This may compromise their memory, ability to learn, awareness, sight, and hearing. A researcher wishes to conduct a study to find which of two medicines, Medicine A or Medicine B, is more effective in improving cognitive health. A total of 150 parrots that are at least 12 years old will be randomly selected from sanctuaries around the United States. The researcher will get consent from all owners, treat the parrots for 1 year, and evaluate changes in cognitive health. Part A: How would the study benefit from adding a control group
Answer:
Ascertain the effectiveness of the treatment
Step-by-step explanation:
A control group is usually used in experimental. Research usually to establish a higher level of assurance or confidence in one's findings. The control group may be explained as that group in an experiment which do not receive the treatment given to the other group or groups, they may also be called the placebo group. Therefore, adding a control group, the treatment groups (Medicine A and Medicine B) would be weighed against the group which does not receive either of the two medicines.
Whoever tells me the correct answer gets brainlest and thanks . please help me thanks!
Answer: Rectangle and Parallelogram
Step-by-step explanation:
Answer:
One could be a parallelogram that does not contain an internal right angle and the other a rectangle.
Step-by-step explanation:
Two dice are tossed. Find the probability of getting the sum of the
dice equal to 4. (Hint: Draw a tree diagram of the possibilities of
two tosses of a die, and then find the sum of the numbers on
each branch.)
Answer:
3/36 -> 1/12 or 2/36 -> 1/18
Step-by-step explanation:
1+3, 2+2, 3+1 or 1+3, 2+2, no tree diagram needed
Helpp plzz will mark brainleast
Answer:
can we see the text and part a
like you know the question is asking abt that
Help and quick! What is the greatest common factor of these numbers. 36 and 54
Answer:
18
Step-by-step explanation:
have a good day :)))))))
Answer:
18
Step-by-step explanation:
the gcf is 18
have a great day!
I need help with this multiple choice question I would really appreciate it if you help!
Step-by-step explanation:
B. not a rational number
plz plz plz help me ill give brainliest i just really need help
Which rectangular prism has a surface area of 62 square units? [Note: Art is not drawn to scale.]
A rectangular prism with a length of 5, width of 3, and height of 1.
A rectangular prism with a length of 2, width of 2, and height of 6.
A rectangular prism with a length of 5, width of 3, and height of 2.
A rectangular prism with a length of 6, width of 2, and height of 4.
Answer:
C. when L =5, W = 3, H = 2
Step-by-step explanation:
2(wl + hl + hw)
2(15+5+3) = 46
2(4+12+12) = 56
2(15+10+6) = 62
Find the mean for the data set. 19, 17, 17, 17, 17, 17, 13, 15, 16, 22, 18
Answer:
The mean is 17.091
Step-by-step explanation:
In a geometric sequence, a2=2, a3=16, and a4=128.
Which equation can be used to find the nth term of the sequence, an?
an=8⋅2n−1
an=2n−1
an=14⋅8n−1
an=2⋅14n−1
Answer:
an = 1/4(8)^n-1
Step-by-step explanation:
Given the following in a geometric sequence, a2=2, a3=16, and a4=128.
nth term of a sequence = ar^n-1
a is the first term
r is the common ratio
r = a3/a2 = a4/a3
r = 16/2 = 128/16
r = 8
a2 = ar
2 = 8a
a = 2/8
a = 1/4
The nth term by substituting the parameters will be;
an = 1/4(8)^n-1
Hurry, geometry math 7th grade
You need to find the area of the hexagon, and the area of the triangle.
The formula for the area of a triangle is
[tex]a = \frac{bh}{2} [/tex]
I hope this helps you a little.
Answer:
93.5 units^2
Step-by-step explanation:
a^2+b^2=c^2
a=3
b=?
c=6
b=√6^2-3^2
b=3√3=5.196
5.196×3=15.5884
15.5884×6
A random sample of 10 fields of corn has a mean yield of 22.5 bushels per acre and standard deviation of 5.84 bushels per acre. Determine the 99% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value that should be used in constructing the confidence interval is T = 3.25.
The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.25 which is the critical value that should be used in constructing the confidence interval.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.25\frac{5.84}{\sqrt{10}} = 6.002[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 22.5 - 6.002 = 16.498 bushels per acre
The upper end of the interval is the sample mean added to M. So it is 22.5 + 6.002 = 28.502 bushels per acre
The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.
Write the first six terms of the arithmetic sequence with the given first term, , and common difference, d.
9514 1404 393
Answer:
340, 250, 160, 70, -20, -110
Step-by-step explanation:
The first term is given. Each successive term is found by adding the common difference to the one before.
[tex]a_1=\boxed{340}\quad\text{given}\\a_2=340-90=\boxed{250}\\a_3=250-90=\boxed{160}\\a_4=160-90=\boxed{70}\\a_5=70-90=\boxed{-20}\\a_6=-20-90=\boxed{-110}[/tex]
Please please help please please ASAP please please help
Answer:
r = 3 cm , LA= 30π cm^2 , SA = 48π cm^2
Step-by-step explanation:
This is a bit more difficult because we have to use the inverse formula
if
V = base area x height
we can obtain
base area = V/height
base area = 45π/5 = 9π cm^2
If
base area = radius^2 π
we can obtain
radius = √base area / π
r = √9 x π/π = 3 cm
base perimeter = 3 x 2 x π = 6π cm
LA = 6π x 5 = 30π cm^2
SA = 9π x 2 + 30 π = 48π cm^2
If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?
Answer:
3 p.m
Step-Hope this helps!!
Answer:
pretty sure 3pm
Step-by-step explanation:
You just subtract 9-6
So its 3pm :)
y is inversely proportional to the square of p, can be written as: y = O True O False
Answer:
False
Step-by-step explanation:
It should be ∝ .. if that’s what your asking
What is an equation of the line that passes through the point (-4,5) and is
perpendicular to the line 4x + y = 7?
Which one is not a function? DONT USE THE LINK SCAM, I really need help
In a right triangle, the length of the hypotenuse is
12 and the length of one leg is 8. What is the
length of the other leg?
How to slove this question
What is 7x^2-5 can u pls tell me I need help
The multiplication rule of counting indicates that the product of the outcomes of each event gives the total number of possible outcomes for the series of all 5 events. There are 5 outcomes for the first city, 4 outcomes for second city, 3 outcomes for the third city, 2 outcomes for the fourth city, and 1 outcome for the final city.
Write the product of the outcomes.
(first city) · (second city) · (third city) · (fourth city) · (final city)
= 5 · 4 · 3 · 2
Note that factorial notation can be used here, since we have the product of consecutive decreasing counting numbers.
Recall that
n! = n(n − 1)(n − 2) 1.
Here,
n = 5
and
5! = 5 · 4 · 3 · 2
Step 3
Multiply to find the total number of possible outcomes.
5! = 5 · 4 · 3 · 2 · 1
= ?
So by the multiplication rule of counting, the sales representative has different choices for the order in which to visit the cities.
Answer:
third city
Step-by-step explanation:
NeverReady batteries has engineered a newer, longer-lasting AAA battery. The company claims this battery has an average life span of 17 hours with a standard deviation of 0.8 hours. Your statistics class questions this claim. You randomly select 30 batteries and find that the sample mean life span is 16.7 hours. If the process is working properly,
Answer:
the probability is 0.0202
Step-by-step explanation:
The computation is shown below:
Given that
The Average life span = 17 hours
Standard deviation = 0.8 hours
Sample = 30 batteries
Sample mean = 16.7 hours
Now based on the above information
The probability is
[tex]P (\bar x \leq 16.7) = P (\frac{\bar x - \mu}{(\frac{\sigma }{\sqrt{n} } )} \leq (\frac{16.7 - \mu}{(\frac{\sigma }{\sqrt{n} } )}\\\\= P(z\leq \frac{16.7-17}{\frac{0.8}{\sqrt{30} } } )\\\\= P(\leq -2.05)\\\\= 0.0202[/tex]
Hence, the probability is 0.0202
Martina,Keith,and Josh have a total of $116 in their wallets. Martina has $9 less than Keith. Josh has 3 times what Keith has. How much does each have?
Answer:
keith=25,Martina=16,Joes=75
Step-by-step explanation:
PLS HELP THIS IS DUE IN 10 MINUTES NUMBER 3 AND NO LINKS PLS
Answer:
A. -1/8x + 3/16
Step-by-step explanation:
-1/2(1/4x - 3/8)
Distribute the -1/2 into both the terms in the equation.
-1/2 * 1/4x = -1/8x
-1/2 * -3/8 = 3/16
Now combine both the expressions.
This makes your answer A,
[tex]-\frac{1}{8}x+\frac{3}{16}[/tex]
what is the distance between the points (-7,3) and (4,-5)
Answer:
The distance is 185 between the points (-7,3) and (4,-5)
Step-by-step explanation:
Answer:
Hi! The answer to your question is [tex]\sqrt{185}[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Which is bigger? 9^27 or 3^81? Hint: can you write 9^27?
Answer:
3^81 is bigger
Step-by-step explanation:
3^81=4.43426488e38
9^27=5.8149737e25
a train travels 18 km in 30 minutes.Find the speed of the train in km/h
Step-by-step explanation:
s=d/t
s=18/30
s=3/5km/h
Bro
I’m lazy and I don’t wanna do it if someone can do it it would mean a lot
Answer:
Option 2.
Step-by-step explanation:
X is a number greater than the equality. Therefore the arrow will go to the bigger side. It also is not equal to the equality hence the cirle is open.
Answer:
I feel ya. It's the second one. Have a nice day.
Step-by-step explanation:
True or False: When using a permutation, order matters.
False
True
girlcome 5324611502
p:here
Answer:
No thanks ~~~~~~~~~~~~