When a virus is placed on a tobacco leaf, small lesions appear on the leaf. To compare the mean number of lesions produced by two different strains of virus, one strain is applied to half of each of 8 tobacco leaves, and the other strain is applied to the other half of each leaf. The strain that goes on the right half of the leaf is decided by a coin flip. The lesions that appear on each half are then counted. The data are given below:
Leaf Strian 1 Strain 2
1 31 18
2 20 17
3 18 14
4 17 11
5 9 10
6 8 7
7 10 5
8 7 6
What is the number of degrees of freedom associated with the apropriate t-test for testing to see if there is a difference between the mean number of lesions per leaf produced by the two strains?
a. 7.
b. 8.
c. 11.
d. 14.
e, 16.

Answers

Answer 1

Answer: a. 7

Step-by-step explanation: Degrees of Freedom is the number of values "allowed" to vary. For example:

In the experiment above, the sample has 8 tobacco leaves. Two strains will be applied to each leaf. The decision of which strain goes to the right or left is random. Each strain have 7 possible leaves it can be applied, because, for the last, the eight leaf, there is no choice.

Therefore, the degrees of freedom for this experiment is 7.

It can also be calculated as

df = n - 1

df = 8 - 1

df = 7


Related Questions

my daughter is having problems with a math problem and I'm not sure how to do it ​

Answers

Answer:

im pretty sure the h represents hours bc there is min on the other so 22x60=1320.  so 1320L

Step-by-step explanation:

If x is a positive integer, which of the following must be an even integer that is twice the value of an odd integer.

A. 2x
B. 2x + 1
C. 2x + 2
D. 4x + 1
E. 4x + 2

Answers

Answer: B

2 is twice the value of 1 because 1+1=2

I need help fast I need to find the slope and than the y-intercept

Answers

Answer:

1. y intercept is 6 and the slope is 1/2x

2. y intercept is 7 and the slope is 4x

3. y intercept is 1 and the slope is -2/3x

4. y intercept is 3 and the slope is 5/2x

5. y intercept is 4 and the slope is -x

6. y intercept is 9 and the slope is -8/3x

Step-by-step explanation:

hope this helps I just finished learning this. this should be right

Answer:

1) slope= 1/2 or 0.5

  y intercept= -6

2) slope= 4

  y intercept= -7

3) slope= - 2/3 or -0.66666---->

  y intercept= -1

4) slope= 5/2 or 2.5

  y intercept= 3

5) slope= -1

  y intercept= 4

6) slope= -8/3 or 2.66666666667

  y intercept= 9

Mrs. Smith decides to buy three sweaters and a pair of jeans. She has $140 in her wallet. If the
price of the jeans is $55, what is the highest possible price of a sweater, if each sweater is the
same price?
Which equation will you use to solve this equation? *

Answers

NoAnswer:

Step-by-step explanation:

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows:

conforms
yes no
1 22 8
supplier 2 25 5
3 30 10


Let A denote the event that a sample is from supplier 1, and let B denote the event that a sample from any supplier conforms to specifications. If a disk is selected at random, determine the following probabilities.
a. P(A)=0.3
b. P(B)=0.77
c. P(A Intersection B) =0.22
d. P(A U B)=0.85

Answers

The answer to this question is C ! Hope this helps

Arondae is making cookies. She needs 10
cups of sugar per pan. If she wants to make
50 pans of cookies, how many cups of sugar
does she need?

Answers

Answer:

500

Step-by-step explanation:

10*50=500

2. George worked 40 regular hours and 5 overtime hours this week. If his regular pay is $14 per
hour, and he is paid double time for overtime hours, how much did he earn this week?

Answers

Answer:

$700

Step-by-step explanation:

40(14)+28(5)

560+ 140

700

This table shows the profit for a company (in millions of dollars) in different
years.

The quadratic regression equation that models these data is
y=-0.34x2 + 4.43x + 3.46. Using the quadratic regression equation, what
was the predicted profit in year 10?
A. $44.36 million
B. $10 million
C. $15 million
D. $13.76 million

Answers

Answer:

D. $13.76 million is the correct answer :)

Step-by-step explanation:

The solution is, $13.76 was the predicted profit in year 10.

Here, we have,

Given : the equation is,

y=-0.34x^2 + 4.43x + 3.46.

To Find : Using the quadratic regression equation, what was the predicted profit in year 8

Solution :

y=-0.34x^2 + 4.43x + 3.46.

Where y is profit and x is year

Substitute x = 10

y=-0.34* 10^2 + 4.43*10+ 3.46.

or, y = 13.76

So, Option D is true

Hence the predicted profit in year 10 is $13.76.

To learn more on equation click:

brainly.com/question/24169758

#SPJ7

5. Solve the inequality for n: 4n+2(n+1)>n+52

Answers

Answer:n>10

Step-by-step explanation:b

de-13m+5n-8p sustraer 7p-8m+3n

Answers

Answer:

its 300

Step-by-step explanation:

Math 7th grade... help pls thanks

Answers

Answer:

35

Step-by-step explanation:

1 bracelet costs $7

5 bracelets is 7*5=35

As we can see with the numbers they gave us every bracelet costs 7 dollars, 1 =7, 2=14 and so on. With this information we can just take the number 5 and multiply it by 7 which would equal 35. Or you could add 7 to 21 and then 7 to 28. Whichever one works for you.

Hope this helped

Morgan has a goal to run 50 miles per month. If he has already achieved 70% of his
goal this month, how many miles has he already run this month?

Answers

Answer:

he has already ran 35 miles

turn 70% into a decimal .70 than multiply that by 50 and you get 35

What factor is missing? 24 + 12= ____(8+4)

Answers

3
Aoggianaiqos Ajaxzjka

Answer:

3

Step-by-step explanation:

24 + 12 = ___(8+4)

36 = ___(12)

36/12 = 3

equation shows the relationship between X and why.
y= - 7 + 9
what is the slope of the equation?

Answers

Answer:

-7

Step-by-step explanation:

I am assuming that you meant y=-7x+9

so the the slope would be y=mx+b

so -7

Help?????????????? I need to know the answer

Answers

the slope of the line is -2

!!! PLEASE HELP RN !!!

3 (4 + 5) - 12 + 2

Answers

Answer:

17

Step-by-step explanation:

Add (4 + 5) = 9 then multiply by 3 = 27 - 12 = 15 +2 = 17

Answer:

[tex]3(4 + 5) - 12 + 2 = 17[/tex]

Step-by-step explanation:

[tex]3(4 + 5)[/tex]

break it down into PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

[tex]3 \times 4 = 12[/tex]

[tex]3 \times 5 = 15[/tex]

[tex]15 + 12 = 27[/tex]

[tex]3(4 + 5) = 27[/tex]

move onto your second part

[tex]27 - 12 + 2[/tex]

[tex]27 - 12 = 15[/tex]

[tex]15 + 2 = 17[/tex]

your final part would be to put it all back together with your answer show an.

[tex]3(4 + 5) - 12 + 2 = 17[/tex]

Find the product (6x² + 2x)(x²+4x)

Answers

Answer:

6x⁴ + 26x³ + 8x²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]

Step-by-step explanation:

Step 1: Define

(6x² + 2x)(x² + 4x)

Step 2: Expand

FOIL:                               6x⁴ + 24x³ + 2x³ + 8x²Combine like terms:      6x⁴ + 26x³ + 8x²

Find the sum of the first 35 terms of the following series, to the nearest integer.
3, 11, 19...

Answers

Answer:   4865

=======================================================

Explanation:

The sequence {3,11,19,...} is arithmetic since we are adding 8 to each term to get the next one

3+8 = 1111+8 = 19

etc. This means the common difference is d = 8.

The first term is a = 3

Let's use this formula

S = n*(2*a + d(n - 1) )/2

so we can find the sum of the first n terms. In this case, n = 35

So,

S = n*(2*a + d(n - 1) )/2

S = 35*(2*3 + 8(35 - 1) )/2

S = 35*(6 + 8(34))/2

S = 35*(6 + 272)/2

S = 35*(278)/2

S = 35*139

S = 4865

[tex]4865[/tex] is the  the sum of the first [tex]35[/tex] terms of the following series [tex]3, 11, 19...[/tex]

What is arithmetic sequence?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2

The sequence  [tex]{3,11,19,...}[/tex]   is arithmetic since we are adding [tex]8[/tex] to each term to get the next one as shown below:

[tex]3+8 = 11\\11+8 = 19[/tex]

This means the common difference is [tex]d = 8.[/tex]

The first term is [tex]a = 3[/tex]

Number of terms [tex]=n=35[/tex]

Sum of the series

[tex]=\frac{n}{2} (2a+(n-1)d)[/tex]

[tex]=\frac{35}{2} (2[/tex]×[tex]3+34[/tex]×[tex]8)[/tex]

[tex]=35[/tex]×[tex]139[/tex]

[tex]=4865[/tex]

Hence, we can conclude that the sum of the first [tex]35[/tex] terms of the following series is [tex]4865[/tex]

Learn more about arithmetic sequence here:

https://brainly.com/question/27079755?referrer=searchResults

#SPJ2

HELP!! Graph the equation.
y=-2(x-1)^2-4
Its an interactive graph.

Answers

Step-by-step explanation:

according to the question the graph must be like this. inverted parabola

Multiply. Enter your answers.

8 2 0
× 3
?

?

?

?

Answers

Answer:2,460

Step-by-step explanation:

Just use a calculator

820x3=2,460

What is the surface area of the triangular prism with the
given net?
un
12
10
Select one:
578 cm
720 cm
1152 cm
1440 cm

Answers

Answer:

576 cm²

Step-by-step explanation:

10x15=150

10x15=150

12x15=180

1/2x8x12=48

1/2x8x12=48

150+150+180+48+48=576

it cost 0.60 cents to run a fan for 4 hours how much does it cost to run the fan for 6 hours I need an answer asap

Answers

Answer:

$0.90

Step-by-step explanation:

So first you need to find the rate (showing how much money it costs to run for 1 hour) so you get 0.60 and divide it by 4 and its 0.15, then multiply 0.15 by 6 and get 0.90

so the question on the pic

Answers

Explanation + answers

Because there are lengths going from 0 to 1, the lines must mean either decimals or fractions (we'll use fractions for this.)

1. There are twelve lines from 0 and 1, which we can use as the denominator for our fraction. This means the length of each line is 1/12.

2. In order to find where K's point is at, we simply need to count until we get to it. After counting, I see that K is on point 8/12, which we can simplify to get a smaller number. If we simplify once, we get 4/6, which we can again simplify to get 2/3. This gives us the answer K is on point 8/12 or 2/3.

Please help me ASAP! on these two questions please and thank you have a great and blessed day!

Answers

Answer:

1: 1.268, 1.265, 1.256

2: $16.42

Step-by-step explanation:

I did the math.

solve for x. HELP SOMEONE PLEASEEE

Answers

I think it’s 4 but I’m not 100% sure

Taliyah plans to borrow $4,500 from the bank to purchase a used vehicle. If she borrows the money at a rate of 4% simple interest for 2 years, what is the total amount she will have to pay back to the bank?

Answers

Answer:ok

Step-by-step explanation: Siri, why am I still single?!” Siri activates front camera.

Answer:

9360

Step-by-step explanation:

4500*1.04(2)

The initial 4500 she borrowed times 1.04 (the increasing percent) times 2 (the number of years)

Hope that helps!

Select the best answer.
Increasing the sample size of an opinion poll will reduce the :____________
(a) bias of the estimates made from the data collected in the poll.
(b) variability of the estimates made from the data collected in the poll.
(c) effect of nonresponse on the poll.
(d) variability of opinions in the sample.
(e) variability of opinions in the population.

Answers

Answer: D

Step-by-step explanation:

the 4th one nzoabsjqnnansiwwna

A new house was purchased for $304 000. after 3 years, it's market value had increase by 28%. What is the new market value if the house?

Answers

Answer:

389,120

Step-by-step explanation:

Could you help me please? This is a thing for my sons math homework.

Answers

Answer:

See below.

Step-by-step explanation:

I've never seen one asked quite this way, but I think I have it figured out.

The objective here is to get the right answer for each square. The answer is either the one next to the 'x', which means you put an 'x' in the tic-tac-toe square or the answer is the one next to the 'O', which means you put an 'O' in the tic-tac-toe square.

I will number them boxes 1-3 on the top row, 4-6 for the next, and 7-9 for the bottom row.

Box 1: In a fraction, you subtract the bottom exponent from the top exponent, so the proper exponent is 10 - 2 = 8. That is an O for g^8.

Box 2: A power raised to a power - multiply the exponents. 2*6=12. That is an X for m^12 for box 2.

Box 3: for multiplying the same base, you add the exponents. 4+5=9. That gives us y^9, which is a X for box 3.

Box 4: j is a factor four times, so that is j^4. That puts an O in Box 4.

Box 5: In a fraction, you subtract the bottom exponent from the top exponent, so we get -2 - (-6) = -2 + 6 = 4. The correct expression is h^4, so we have an X for box 5.

Box 6: A power to a power, you multiply the exponents so the first part becomes m^8. Now we have m^8 * m^5. For multiplying the same base, you add the exponents. 8+5=13. That gives us m^13, which puts an O in box 6.

Box 7: The top is a power to a power so we multiply the exponents. 4*5=20. The top is b^20.

On the bottom, for multiplying the same base, you add the exponents. 2+3=5, so the bottom is b^5.

Now we have a fraction, (b^20)/(b^5). In a fraction, you subtract the bottom exponent from the top exponent, so we have 20 - 5 = 15, and thus b^15. That gives us an X for box 7.

Box 8: A fraction IS a division, so we do divisons and fractions the same way. The p^3 on the left is the top (numerator) and the p^2 part is the bottom (denominator). So 3-2=1. But P^1 is just P, so we have an O for box 8.

Box 9: For the numerator, it is a power to a power so we multiply the exponents and get k^12.

For the denominator, we are multiplying the same base, so you add the exponents. 7 + (-5) = 2, and we get k^2 for the denominator

Now we have the fraction of k^12 OVER k^2.  In a fraction, you subtract the bottom exponent from the top exponent. 12-2=10. We get k^10, giving us an X for box 9.

So here is what we get for tic-tac-toe.

0   X   X

O   X   0

X   O   X

We get 3 in a row in boxes 3, 5, and 7. The exponents in those problems are 9, 4, and 15 respectively. The product of thse 3 numbers is 540.

This was a LOT of steps, so I encourage you to check every little multiplication and addition I did.

Hope this helps.

Seventy-two percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 66% have an emergency locator, whereas 80% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)
a) If it has an emergency locator, what is the probability that it will not be discovered?
b) If it does not have an emergency locator, what is the probability that it will be discovered?
c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?

Answers

Answer:

a) 0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.

b) 0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.

c) 0.064 = 6.4% probability that 7 of them are discovered.

Step-by-step explanation:

For itens a and b, we use conditional probability.

For item c, we use the binomial distribution along with the conditional probability.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

a) If it has an emergency locator, what is the probability that it will not be discovered?

Event A: Has an emergency locator

Event B: Not located.

Probability of having an emergency locator:

66% of 72%(Are discovered).

20% of 100 - 72 = 28%(not discovered). So

[tex]P(A) = 0.66*0.72 + 0.2*0.28 = 0.5312[/tex]

Probability of having an emergency locator and not being discovered:

20% of 28%. So

[tex]P(A cap B) = 0.2*0.28 = 0.056[/tex]

Probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.056}{0.5312} = 0.105[/tex]

0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.

b) If it does not have an emergency locator, what is the probability that it will be discovered?

Probability of not having an emergency locator:

0.5312 of having. So

[tex]P(A) = 1 - 0.5312 = 0.4688[/tex]

Probability of not having an emergency locator and being discovered:

34% of 72%. So

[tex]P(A \cap B) = 0.34*0.72 = 0.2448[/tex]

Probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2448}{0.4688} = 0.522[/tex]

0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.

c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?

p is the probability of being discovered with the emergency recorder:

0.5312 probability of having the emergency recorder.

Probability of having the emergency recorder and being located:

66% of 72%. So

[tex]P(A \cap B) = 0.66*0.72 = 0.4752[/tex]

Probability of being discovered, given that it has the emergency recorder:

[tex]p = P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4752}{0.5312} = 0.8946[/tex]

This question asks for P(X = 7) when [tex]n = 10[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.8946)^{7}.(0.1054)^{3} = 0.064[/tex]

0.064 = 6.4% probability that 7 of them are discovered.

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