Wave length = speed / frequency
Wave length = 3x10^8 / 4.11x10^4
Wave length = 7.299x10^3nm
In order to evaluate the performance of the artificial pancreas, a researcher randomly draw 5 rats as a control group, and draw other 5 rats as a treatment group. The control group did not receive the artificial pancreas, the treatment group did. The research wanted to compare the blood-sugar readings for the treatment group with those of the control group. The treatment group has a sample mean blood-sugar reading Y = 400 unit and a standard deviation Si = 80 unit. The control group has a sample mean blood-sugar reading Y, = 200 unit and a standard deviation S2 = 50 unit. Assume the population variances are not equal, calculate the standard error for the difference of the sample means Ý -Y (Round to three decimal places)
Answer: 42.190
Step-by-step explanation:
From the question, the population variances are not equal. The calculation has been attached in the picture below.
The answer is 42.190 to 3 decimal places.
Math Help!!! Can someone solve this?? I will give you Brainliest!!!!!!
Answer:first one is false, second is true and third is true
Step-by-step explanation:
A 95% confidence interval of 17.6 months to 49.2 months has been found for the mean duration of imprisonment, mu, of political prisoners of a certain country with chronic PTSD. a. Determine the margin of error, E. b. Explain the meaning of E in this context in terms of the accuracy of the estimate. c. Find the sample size required to have a margin of error of 11 months and a 99% confidence level. (Use sigmaequals45 months.) d. Find a 99% confidence interval for the mean duration of imprisonment, mu, if a sample of the size determined in part (c) has a mean of 36.5 months.
Answer:
a) [tex] E = \frac{49.2-17.6}{2}= 15.8[/tex]
b) For this case we have 95% of confidence that the true mean would be between [tex]\pm 15.8[/tex] units respect the true mean.
c) [tex]n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112[/tex]
So the answer for this case would be n=112
d) [tex]36.5-2.58\frac{45}{\sqrt{112}}=25.53[/tex]
[tex]36.5+2.58\frac{45}{\sqrt{112}}=47.47[/tex]
Step-by-step explanation:
Part a
For this case we know that the cinfidence interval for the true mean is given by:
[tex] \bar X \pm E[/tex]
Where E represent the margin of error. For this case we have the confidence interval at 95% of confidence and we can estimate the margin of error like this:
[tex] E = \frac{49.2-17.6}{2}= 15.8[/tex]
Part b
For this case we have 95% of confidence that the true mean would be between [tex]\pm 15.8[/tex] units respect the true mean.
Part c
The margin of error is given by this formula:
[tex] ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex] (a)
And on this case we have that ME =11 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=(\frac{z_{\alpha/2} \sigma}{ME})^2[/tex] (b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The critical value would be [tex]z_{\alpha/2}=2.58[/tex], replacing into formula (b) we got:
[tex]n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112[/tex]
So the answer for this case would be n=112
Part d
The confidence interval for the mean is given by the following formula:
[tex]\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex] (1)
Replcaing the info given we got:
[tex]36.5-2.58\frac{45}{\sqrt{112}}=25.53[/tex]
[tex]36.5+2.58\frac{45}{\sqrt{112}}=47.47[/tex]
Calculate the area for the shape above. Round answer to the nearest hundredths
Answer:
400
Step-by-step explanation:
20 x 20= 400
Answer:
I'd say that if it is the total area square and half of the circle. the answer could be 557.08
Step-by-step explanation:
area of the square 20*20= 400
area of the circle= Pi*radio to the square divided by two cause its only the half of a circle so it is like 3.1416*10^2=100*3.1416=714.16/2=157.08
now we can sum up the square area and the circle
400+157.08= 557.08
I'm not actually sure itll depend if the wide and height of the square is the same. here im guessing that its 20 both. and another thing I didnt round the answer it was just that
Which equation represents a line that has a slope of 1/3 and passes through point -2, one
Answer: y= 1/3 x + 5/3
Step-by-step explanation:
1= 1/3(-2) + b where b is the y intercept
1= -2/3 + B
+2/3 +2/3
B = 5/3
so we know the slope and the y- intercept
y= 1/3x + 5/3 check: 1=1/3(-2) +5/3
1 =1
Slope intercept form: y = mx + b
m = slope
b = y-intercept
Since we know the slope and one point, we can solve for the y-intercept.
y = 1/3x + b
1 = 1/3(2) + b
1 = 2/3 + b
1 - 2/3 = 2/3 - 2/3 + b
1/3 = b
Now, put the final equation together.
y = 1/3x + 1/3
Best of Luck!
Graphs of what functions are shown below?
Answer:
y = -√(x -5) +2
Step-by-step explanation:
This looks like a square root function reflected vertically, and translated up 2 and right 5.
y = -√(x -5) +2
_____
g(x) = a·f(x -h) +k represents a translation of f(x) by (h, k) and a vertical scaling by a factor of "a". If "a" is negative, the function is reflected across the x-axis.
. The pet store salesman told Evan to feed his dog 8 ounces of food per day. The food is sold in pounds. How many pounds does Evan need to buy for 2 weeks of feeding his dog? (16 ounces = 1 pound)?
Two datasets arranged in descending order are; {8, x, 4,1} and {9, y, 5,2}. If the medians of
the two given datasets are equal, what is the value of (y − x)
2
?
Answer:
1Step-by-step explanation:
A data arranged in descending order is a data arranged from the biggest to the smallest. The medisn of the data sets is the value at the middle of the dataset after rearrangment.
For the dataset {8, x, 4,1}, the median will be x and 4. Since we have two median values, we will take their average as shown
Median(1) = [tex]\frac{x+4}{2}[/tex]... 1
Simialrly for dataset {9, y, 5,2}, the median will be y and 5.
Median(2) = [tex]\frac{y+5}{2}[/tex] ...2
Since the medians of the two given datasets are equal, we will equate equation 1 and 2 and calculate for y-x as shown;
[tex]\frac{x+4}{2} = \frac{y+5}{2}[/tex]
[tex]x+4 = y+5\\x-y = 5-4\\x-y = 1\\y-x = -1[/tex]
Therefore y-x = -1
(y-x)² = (-1)²
= 1
simplify- 5^23 x 5^15
Answer:5^38
Step-by-step explanation:
5^23 x 5^15
5^(23+15)
5^38
Find the ratio a:b, if it is given that ...
7a=3b
Answer:
a:b
3:7
Step-by-step explanation:
a:b also means a/b
Taking the equation
7a = 3b
Dividing each side by b
7a/b = 3b/b
7 a/b = 3
Divide each side by 7
a/b = 3/7
The ratio is 3/7
a:b
3:7
Answer:
a:b = 3/7
Step-by-step explanation:
we need to find the ratio a:b which is the same as a/b.
7a=3b
Devide left and right of the = sign by b gives
7a/b = 3 * b/b
7a/b = 3 * 1
7a/b = 3
Multiply left and right of the = sign by 1/7 gives
1/7 * 7a/b = 1/7 * 3
7/7 * a/b = 3/7
1 * a/b = 3/7
a/b = 3/7
Since a/b is the same as a:b, we now have the answer.
a:b = 3/7
An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with _______ exactly one at least one all of the ______ 0's 1's replaced with some number k. This means it is _______ an invertible matrix, a zero matrix, a singular matrix, a triangular matrix, an identity matrix, and so its determinant is the _______ sum product of its diagonal entries. Thus, the determinant of an elementary scaling matrix with k on the diagonal is nothing.
Answer:
exactly one, 0's, triangular matrix, product and 1.
Step-by-step explanation:
So, let us first fill in the gap in the question below. Note that the capitalized words are the words to be filled in the gap and the ones in brackets too.
"An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with EXACTLY ONE of the (0's) replaced with some number k. This means it is TRIANGULAR MATRIX, and so its determinant is the PRODUCT of its diagonal entries. Thus, the determinant of an elementary scaling matrix with k on the diagonal is (1).
Here, one of the zeros in the identity matrix will surely be replaced by one. That is to say, the determinants = 1 × 1 × 1 => 1. Thus, it is a a triangular matrix.
Lana's little sister needs to take a bubble bath. The package says to put in a drop of bubble bath for every half gallon of water in the bathtub. Lana doesn't know how many half-gallons there are, but she knows that their bathtub can hold 12 gallons of water. How many drops can she put into the bath for her sister? *
24 drops of bubble bath
Step-by-step explanation:
this is because the ratio is .5 gallon:1 drop, so 12 gallons would be 24 drops. I hope this helps!
Not sure on how to do these questions
Answer:f(8)=g(8)
Step-by-step explanation:
So in these problems f(8) means that you look at the f(x) function (function 1) and plug in 8 for x. Then since it says g(8), you look at the g(x) function and substitute x for 8. If we do that, f(x)=2(8)-3 which is 13. g(x)=3/2x+1=13. The two of them are equal when x=8. So the answer is the third choice
Answer:
f(8)=g(8)
Step-by-step explanation:
Just put the values of given functions in the equation
What is the length of AC?
Answer:
2.96
Step-by-step explanation:
The cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse. In this case:
[tex]\cos 65=\dfrac{x}{7}[/tex]
[tex]x=7\cdot \cos 65\approx 2.96[/tex]
Hope this helps!
What is the value of –112.84 – 54.14 – (–29.18)?
A) –137.8
B)–29.52
C)87.88
D)196.16
Answer:A
Step-by-step explanation:
-112.84-54.14-(-29.18)
-112.84-54.14+29.18=-137.8
Answer:
Option A is correct.
What’s the correct answer for this?
Answer:
C.
Step-by-step explanation:
A reflection across a horizontal line will move the quadrilateral downwards and opposite and then a horizontal translation will move the quad on to the other quad and thus it will be proved that both quads are congruent
U
14 poi
At the college football game there were 48,000 people. If 77% of the
people at the game were supporters for the home team, how many
people were supporting the home team? *
Answer:
36960 people
Step-by-step explanation:
Answer:
36,960 people
Step-by-step explanation:
[tex]\frac{is}{of}=\frac{percent}{100}[/tex] is the formula to solve for this equation, here plugging in all our numbers gives us [tex]\frac{x}{480,000} = \frac{77}{100}[/tex].
We do not know our "is" so we replace it for x and solve → [tex]x=(480,000)(\frac{77}{100} )[/tex] = 36,960 people
НА
.
-
НА
N
1 point
Which has a value 10 times greater than 0.008?
о 0.8
o0.08
ов
а
3
80
????????????????????
A circle has a circumference that is greater than 8 meters. The inequality 3.14 d greater-than 8 can be used to determine the possible lengths of the diameter of the circle. What are the possible values of d, the length of the diameter in meters?
d less-than 25.1
d greater-than 25.1
d less-than 2.5
d greater-than 2.5
Answer:
It is the last one
Step-by-step explanation:
Answer:
it is d
Step-by-step explanation:
:
What is 475.189 rounded to the nearest hundredth?
Answer:
It is:475.19.
HOPE THIS HELPED
Answer:
475.19.
Step-by-step explanation:
The hundredths place is two places to the right of the decimal, or (0.01).
In the number given, the number to the right of the hundredths place is larger than 5, meaning we will round up giving us:
475.189 --> 475.19.
Write the slope-intercept form of the equation of the line through (-1,4) and parallel to x=5
Answer:
x = -1
Step-by-step explanation:
When lines are parallel, they have the same slope
x = 5 means the line is a vertical line going through x=5
The new line is a vertical line
We have a point (-1,4)
It will need to go through the x point of -1 and be a vertical line ( which is in the form x= )
x=-1
Write one digit on each side of 73 to make a four digit multiple of 36. How many different solutions does this problem have?
Answer: an option is 2736
and we only have two possible solutions, the other is 6732
Step-by-step explanation:
we want to write a number:
a73b, where a and b are one digit numbers (0 to 9) in such way that the number is divisible by 36.
Now, we know that 36 is multiple of 6, so 6*6 = 36
The multiples of 36 are always even numbers, so we can discard all the odd options for b.
We also can discard the option a = 0, because we want a 4 digit number.
now, let's do it by brute force.
if a = 1, we have:
173b, now you can give b different values (only even values) and see if some of them is divisible by 36. You will find that none is.
if a = 2
273b
when b = 6, we have:
N = 2736, that is divisible by 36 as:
2736/36 = 79, so this is a multiple of 36.
now, you can keep changing the value of a and find all the different possible solutions.
if a = 3,
373b is not divisible by 36 for any value of b
if a = 4
473b is not divisible by 36 for any value of b
if a = 5
573b is not divisible by 36 for any value of b
if a= 6
673b it is divisible by 36 when b = 2.
6732/36 = 187
if a = 7
773b is not divisible by 36 for any value of b
if a = 8
873b is not divisible by 36 for any value of b
if a = 9
973b is not divisible by 36 for any value of b
So we only have two possible solutions
The different solutions this problem have are 2736 and 6732.
What is a Digit?This is a part of a number which consists of numerals from 0 to 9.
a73b is the first number where a and b are one digit numbers (0 to 9) which is divisible by 36.
All multiples of 36 are always even numbers, so odd number options for b isn't considered.
If a = 2 when b = 6, we have: it is divisible by 36 when b = 2.
N = 2736, which is divisible by 36 to give 76 hence it is a multiple of 36.
673b is divisible by 36 when b = 2.
N = 6732 which is divisible by 36 to give 187 hence it is a multiple of 36.
Hence, the two values are 2736 and 6732.
Read more about Digits here https://brainly.com/question/13124157
what is the result of 3×3/5×(-8×1/3)
Answer:
-4.8
Step-by-step explanation:
Answer:
−24/5
Step-by-step explanation:
3x3/5x(-8x1/3)
Use the order of operations method, PEMDAS, in order to solve this expression.
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
In this case, you should check the x-intercept (y = 0).
=> (x-3)(x+4) = 0
=> Two x-intercept at x = 3 and x = -4
C, D are not right, because there is no two x-intercepts.
A is not correct, because both of x-intercepts are less than 0.
=> Option B is correct.
Hope this helps!
:)
اذا كانت س زاويه حاده و كان جاس= ٣/٥ فان ظا س=؟؟
If a coin is flipped three times, how many possible outcomes will include exactly 2 tails?
Answer:
If a coin is flipped three times, possible outcomes would be:
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
=> possible outcomes that will include exactly 2 tails:
HTT
THT
TTH
TTT
Hope this helps!
:)
Answer:
The answer is 3 or option B.
Step-by-step explanation:
I just answered the question.
Pls help with this one I will give brainliest thank you!
Answer:
B. 10 in.
Step-by-step explanation:
When you do length times width times height 10*10*10 equals 1000
10*10=100 and 100*10=1000
Answer:10 feet
Step-by-step explanation:
edge=[tex]\sqrt[3]{1000}[/tex]= 10 so the answer is B
Consider the polynomial: StartFraction x Over 4 EndFraction – 2x5 + StartFraction x cubed Over 2 EndFraction + 1 Which polynomial represents the standard form of the original polynomial? StartFraction x cubed Over 2 EndFraction – 2x5 + StartFraction x Over 4 EndFraction + 1 –2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1 –2x5 + StartFraction x Over 4 EndFraction + StartFraction x cubed Over 2 EndFraction + 1 1 – 2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction
Answer:
(B)[tex]-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1[/tex]
–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1
Step-by-step explanation:
Given the polynomial: [tex]\dfrac{x}{4}-2x^5+\dfrac{x^3}{2}+1[/tex]
We are required to pick an equivalent polynomial which is in standard form.
A polynomial is in standard form when it is written in descending powers of x.
Therefore, rearranging the polynomial above, we have:
[tex]-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1[/tex]
The correct option is B.
The correct answer is B. –2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1
hope you have a great day :D
help help help please
Answer:
to add to the table, continue the arithmetic sequence in each columnto use the table, extend the third column to 45, or multiply the first row by 9Step-by-step explanation:
The numbers in the first column are an arithmetic sequence with a common difference of 2. The next few numbers will be 6, 8, 10, ...
The numbers in the second column are an arithmetic sequence with a common difference of 3. The next few numbers will be 9, 12, 15, ...
The numbers in the third column are an arithmetic sequence with a common difference of 5. The next few numbers will be 15, 20, 25, ...
To use the table, Mark can extend each sequence until he has a row with 45 in the third column, or he can multiply or add rows to give a result of 45 in the third column. For example, multiplying the first row by 9 gives 18:27:45 meaning that Mark needs 18 liters of blue and 27 liters of yellow to make 45 liters of green paint.
I keep gettin it wrong please help!!!
Answer:
-5≤ x ≤5 or [-5,5]
Step-by-step explanation:
domain is related to independent variable x
black dots means that number is included in the domain
in this case function is from -5,5 included or -5≤ x ≤5 or [-5,5]
