Answer:
Allocation: 4 samples should be from the mountain and 16 from along the coast.
Step-by-step explanation:
Neyman allocation is technique of sample allocation used in cases of stratified sampling.
The formula to compute the best sample size of each stratum is:
[tex]n_{h}=n\times \frac{(N_{h}\times SD_{h})}{\sum\limits^{k}_{i=1}(N_{i}\times SD_{i})}[/tex]
The information provided is:
[tex]N_{m}=50\\N_{c}=100\\n=20\\[/tex]
Compute the range for the number of people at the mountain campsite as follows:
[tex]R_{m}=6-1=5[/tex]
Then the standard deviation for the number of people at the mountain campsite will be:
[tex]SD_{m}=\frac{R_{m}}{4}=\frac{5}{4}[/tex]
Compute the range for the number of people along the coast campsite as follows:
[tex]R_{c}=10-1=9[/tex]
Then the standard deviation for the number of people along the coast campsite will be:
[tex]SD_{c}=\frac{R_{c}}{4}=\frac{9}{4}[/tex]
Compute the sample size for the mountain campsite as follows:
[tex]n_{m}=n\times \frac{(N_{m}\times SD_{m})}{(N_{m}\times SD_{m})+(N_{c}\times SD_{c})}[/tex]
[tex]=20\times \frac{(50\times (5/4))}{(50\times (5/4))+(100\times (9/4))}\\\\=20\times 0.2174\\\\=4.348\\\\\approx 4[/tex]
Compute the sample size for along the coast campsite as follows:
[tex]n_{c}=n-n_{m}=20-4=16[/tex]
Thus, 4 samples should be from the mountain and 16 from along the coast.
equivalent fractions for 2 1/5 and 1 5/6 with common denominator 30
Answer:
[tex]\frac{66}{30} and \frac{55}{30}[/tex]
Step-by-step explanation:
Firstly, let's get the fractions out of mixed form.
2 1/5 = 11/5
(To do this, multiply 2 times 5 and add to the 1.)
1 5/6 = 11/6
(To do this, multiply 1 times 6 and add to the 5.)
Next, let's get the common denominator. When making a common denominator, keep in mind you must multiply/divide both the numerator and denominator.
[tex]\frac{11}{5} * \frac{6}{6} = \frac{66}{30}[/tex]
and
[tex]\frac{11}{6} * \frac{5}{5} = \frac{55}{30}[/tex]
Solve by substitution: y = 3x + 4 and y = -2x – 1.
Answer:
x = -1
y = 1
Step-by-step explanation:
y = 3x+4
y = -2x-1
-2x-1 = 3x+4
-5x - 1 = 4
-5x = 5
x = -1
Substitute this x value into 1 of the equations given in the problem:
y = 3(-1)+4
y = -3+4
y = 1
Answer: the answer to x= -1 and y= 1
Hi Guys
Please answer this question. I will choose Brainliest.
Also please do a step by step method.
Worth 10 points and it is a Maths question.
Cheers,
Jake
Answer:
In simplifying this is simple.
2-4 x + 3x-12.2x+9x2-x-12how would I graph 9x + 11 > 3(x + 4)-12 +6x ?
9514 1404 393
Answer:
shade the entire number line and put arrows at each end
Step-by-step explanation:
Solve for x.
9x +11 > 3(x +4) -12 +6x
9x +11 > 3x +12 -12 +6x . . . . eliminate parentheses
9x +11 > 9x . . . . . collect terms
11 > 0 . . . . . . . . . subtract 9x
This is true for all values of x.
The graph would be the entire number line.
Free pints get it lolololo
Answer:
Yayee
Step-by-step explanation:
Write an inequality representing the following phrase:
One-tenth of a number h is less than or equal to ten
Answer:
[tex]\frac{1}{10} h\leq 10[/tex]
Step-by-step explanation:
Basically, we are just translating the phrase into an algebraic expression.
Factorise fully
-14x - 8
ease do quick, will mark brainiest!
Answer:
-2( 7x+4)
Step-by-step explanation:
-14x - 8
Factor out -2
-2*7x -2*4
-2( 7x+4)
Answer:
2(-7x -4)Step-by-step explanation:
[tex] - 14x - 8[/tex]
Write -8 as -4×2
[tex] - 14x + 2 \times 4[/tex]
Factor out common term : 2
[tex]2( - 7x - 4)[/tex]
oliver runs a mile in 6 minutes. he left his house and ran 2 miles north, 3 miles east, then run back to his house. what was the total distance of olivers run
Answer:
10 miles
Step-by-step explanation:
You add 2+3+2+3 which equals 10. The information about him running a mile in 6 minutes is completely irrelevant, they did that to confuse you.
what is the best estimate of 45 percent of 76
9514 1404 393
Answer:
In order of improvement:
383434.2 (actual value)Step-by-step explanation:
In my engineering experience, a method of estimating should satisfy two requirements:
it should be relatively easy to accomplish mentallyit should provide a means of estimating the error in the estimate__
Multiplication and division by 2 are generally easy to perform mentally.
We note that 45% is about 50%.
50% of 76 is 76/2 = 38 . . . a good starting estimate
45% is down 5% from 50%, so the actual value will be 5/50 = 10% lower than this first estimate
A good second estimate is 38 -0.10(40) = 34.
A better estimate is 38 -3.8 = 34.2, which is the actual value of the expression.
_____
Alternate approach
You could also transform the problem to 76% of 45, which is about 3/4 of 44, or about 33. Figuring the error adjustment on this approach is somewhat more difficult, as it is factors of 1/75 and 1/44 too low. 1 part in 44 is not too difficult to figure, as it is 33/44 = 3/4, so a better estimate is 33.75. It takes a calculator to figure 1 part in 75 of this, which is 0.45. Adding that amount gets you to the actual value of 34.2.
Nora has to buy party supplies and can spend no more than $50. Nora must buy 8
party favors, p, and she will also purchase a cake fore $10. Write an inequality that
represents the situation, and find possible solutions.
Answer:
50=10+c
Step-by-step explanation:
Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent functions? Table A x -8 -3 0 6 y 24 4 9 72 Table B x 9 15 24 38 y -14 -16 53 29 Table C x 15 24 24 100 y -16 53 29 7 Table D x -8 6 0 6 y 24 4 9 72 a. Table A and Table C b. Table A and Table B c. Table B and Table C d. Table C and Table D Please select the best answer from the choices provided
Answer:
I think it's d. C and D
Step-by-step explanation:
it needs to be 20 characters long so don't mind this part
Answer: is B. table A and Table B
Step-by-step explanation:
Anybody Know This Answer Well. ?
Answer:
no srry
Step-by-step explanation:
what is the dacimal form of 672.937%
Answer:
6.72937
Step-by-step explanation:
672.937%
(calculate)
[tex]\frac{672.937}{100}[/tex]
(convert the expression)
6.72937
(there's your answer)
write a word phrase for x/4-17
Answer:
a number x divided by four, minus seventeen
or
seventeen less than a quarter of a number x
or
a quarter of x take away seventeen
Step-by-step explanation:
There's a variable in the expression so we can just say "a number x". We are dividing that unknown number by four, so we can say x divided by four, or since dividing by four is multiplying by one fourth, we can say one fourth of x or a quarter of x (especially since 'of' in math means multiplication). Then we have to subtract seventeen. We could leave it as minus seventeen at the end, or we could say seventeen less than a fourth of x or take away seventeen. As can be seen, there are numerous ways to go about 'verbalizing' the expression, or any expression for that matter. Think creatively!
(Look at picture.............)
Answer:
3460
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
imin middle school
Eric picks 58 basket of strawberries. Kiki picks 15 basket of strawberries.
Which answer is the most accurate estimate for how many more baskets of strawberries Eric picks than Kiki?
A 0 baskets
B 12 basket
C 34 basket
D 1 basket
Answer:
C- 34 baskets.
Step-by-step explanation:
Since the answer to the actual problem is 43, it would make sense to pick the number closest to that, which is 34. hope this helps <3
-brooke :)
Answer:
1/2 basket
Step-by-step explanation:
confirmed!
Express 7.409 in word form.
What equation is equivalent to 3x+6=4x+7
Answer:
x=-1
Step-by-step explanation:
The first thing we can do is subtract 3x from both sides (it makes solving the equation easier if you get rid of the variable first).
3x+6=4x+7
-3x -3x
6=x+7
All we need to do now is subtract 7 on both sides.
6=x+7
-7 -7
-1=x or x=-1 (they both mean the same thing!)
Hope this helps!! Have a wonderful day c:
2r(2.59 + 10) - 3(r + 4) + s(r - 1)?
equivalent?
Answer:
2.30 is going to be your anwer
Step-by-step explanation:
How do you do this question?
Answers:
[tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} = 6[/tex]
Based on the limit comparison test, the series is convergent
========================================================
Explanation:
As n gets really large, the terms [tex]3^n[/tex] and [tex]3^n-2[/tex] are effectively the same. Taking the limit to infinity of the ratio leads to 1.
In other words,
[tex]\displaystyle \lim_{n \to \infty} \frac{3^n}{3^n-2} = \lim_{n \to \infty} \frac{3^n}{3^n} = 1[/tex]
That -2 doesn't really play a role when n gets very large.
This result is then multiplied by the 6 in the [tex]a_n[/tex] sequence, getting 6 as the final limit we want.
So,
[tex]L = \displaystyle \lim_{n \to \infty} \left(a_n \div b_n\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \div \frac{1}{3^n}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \times \frac{3^n}{1}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6*3^n}{3^n-2}\right)\\\\\\[/tex]
[tex]L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n-2}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} (1)\\\\\\L = \displaystyle 6*1\\\\\\L = \displaystyle 6\\\\\\[/tex]
Since the limiting value is positive and not infinity, this means that both series [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] converge or they both diverge.
----------------------------
If we plug n = 2 into the [tex]b_n[/tex] sequence, we get
[tex]b_n = \frac{1}{3^n}\\\\b_2 = \frac{1}{3^2}\\\\b_2 = \frac{1}{9}[/tex]
The first term is a = 1/9
If we plugged n = 3, we would get [tex]b_3 = \frac{1}{27}[/tex]
This shows that the common ratio is r = 1/3
Because -1 < r < 1 is true, we know that the infinite geometric series converges. Therefore, [tex]\sum b_n[/tex] converges. We don't need to find the converging value.
Going back to the limit comparison test, we stated that both [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] either diverge together or converge together.
We've shown that the b series converges, so the 'a' series must converge as well.
Jonathan purchases 15 pounds of bananas for $.49 a pound. How much did Jonathan pay
for his bananas?
Answer:
$7.35
Step-by-step explanation:
To find the answer to this question, you would need to multiply 15 times .49 which would equal 7.35
Six times the sum of a number and eight is 18 find the number
Answer:
-5
Step-by-step explanation:
Find the number with the equation 6(x + 8) = 18
solve for x to get -5
Step-by-step explanation:
6*(x+8)=18
x+8=18/6=3
x=3-8=-5
prove
(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)=
3+3+3+3+3+3=18
it was wrong it is actually 0.29 or .29
Answer:
Form what?
Step-by-step explanation:
Step-by-step explanation:
what are you taking about ?
5/6x6/7=?? Please answer
[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]
[tex] = \frac{5}{6} \times \frac{6}{7} [/tex][tex] = \frac{5 \times 6}{6 \times 7} [/tex][tex] = \frac{30}{42} [/tex][tex] = \frac{30 \div 6}{42 \div 6} [/tex][tex] = \frac{5}{7} [/tex]#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
Please help will give brainliest answer
Answer:
side C'D' = 2.8 units
Step-by-step explanation:
Recall that a rotation does NOT change the dimensions and angles of the triangle, therefore side C'D' should have the same length as the original side CD (which is 2.8 units)
Therefore side C'D' = 2.8 units
lincoln middle school has a total of $200 to spend on notebooks and tablets
Answer:
Oh um ok. Is there supposed to be like a 2nd part to this??
Step-by-step explanation:
A migrating bird flies 688 miles in 16 hours. How many miles does it fly in 5 hours?
Answer:
In 5 hours, the migrating bird will frly 215 miles.
Step-by-step explanation:
Since the bird flys 688 miles in 16 hours we need to find the unit rate. So i divided 16 by the 16 hours which gave me 1, so i also divided 688 by 16 and i got 43. So the bird flys 43 miles in a hour. We are not done yet because we need to find how many miles in 5 hours. So we multiply the 43 miles by 5 and got 215, and i also multiplied the 1 hour bye 5 and got 5. Last but not least, the migrating bird will fly 215 miles in 5 hours. I hope that this will help you out.
lena has bought 10 pounds of dog food. she feed her dog 2/5 pounds for each meal for how many meals will the food last
Answer:
25
Step-by-step explanation:
10÷2/5
=10•5/2
=5•5
=25
what is the circumfernce of a circle with a diameter of 10
Answer:
C≈31.42
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·10≈31.41593
pls help will give brainliest
Answer:3rd one
Step-by-step explanation: