It is reported that 56% of a state is experiencing drought conditions. An agricultural researcher randomly selects ten farmers in the state and asks if their farms are experiencing drought. What is the expected number of farmers who have experienced drought? Find the standard deviation.

Answer:

Step-by-step explanation:

Divide the numerator and denominator by 2.

[tex]\frac{24}{100}=\frac{12}{50}[/tex]

To find equivalent fractions, we have to multiply the numerator and denominator by the same number or divide the numerator and denominator by the same number

Answer:

The minimum sample size required for the estimate is 345.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The standard deviation is known to be 1.8.

This means that [tex]\sigma = 1.8[/tex]

What is the minimum sample size required for the estimate?

This is n for which M = 0.19. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.19 = 1.96\frac{1.8}{\sqrt{n}}[/tex]

[tex]0.19\sqrt{n} = 1.96*1.8[/tex]

[tex]\sqrt{n} = \frac{1.96*1.8}{0.19}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2[/tex]

[tex]n = 344.8[/tex]

Rounding up to the next integer:

The minimum sample size required for the estimate is 345.

Answer:

There's 3 pages in the book

Step-by-step explanation:

You add both of the amounts of stickers (12+9=21), then you divide by the amount on each page (21÷7=3)

Hope this helped!

Step-by-step explanation:

[tex]y = 3 \csc( \frac{x}{5} ) [/tex]

[tex] \frac{y}{3} = \csc( \frac{x}{5} ) [/tex]

Multiply by 5 on both sides.

[tex]5 \times \frac{y}{3} = \csc(x) [/tex]

Take the inverse of cosecant or arccsc of the function.

[tex]5 \: arccsc( \frac{y}{3}) = x[/tex]

The trigonometric equation for​ x, where x is restricted to the given interval is x = 5 * arccsc(y/5)

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given

y = 3 CSC(x/5) for x in given domain

y/ 3 = CSC  (x/5)

CSC(x/5) = y/3

x/5 = arccsc(y/3)

x =  5* arccsc(y/3)

Therefore, "x = 5 * arccsc(y/5)" is the trigonometric formula when x is limited to the specified range.

Learn more about trigonometry here:

https://brainly.com/question/12068045

#SPJ2

Answer:

57.5 miles

Step-by-step explanation:

10 mi : 16 km

x mi  : 92 km

(10)(92) = (16)(x)

920 = 16x

57.5 = x

Answer:

C- The size of the initial water sample, in gallons.

Step-by-step explanation:

Answer:

This one ?

Step-by-step explanation:

Answer:

White because there is no white marble.

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Standard equation: y=mx+b

x+y=0

-x    -x

y=-x+0

Answer:

57552232

Step-by-step explanation:

Answer:

A - 3307,50

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

(F.) the mode of the data for website K is greater than the mode of the data from website L

Step-by-step explanation:

Mode simply means the parameter that occurs the most.

In website K, the one that occurs the most is 8 hours while in website L, the one that occurs the most is 2 hours.

This means that mode of website K is greater than that of website L.

Thus,statement F is correct

Range is the difference between the highest value and the lowest value..

For website K, Range = 14 - 1 = 13

For website L, Range = 13 - 1 = 12

Thus,range of both websites are not the same and as such statement G is wrong.

For a symmetrical distribution, the left and right hand sides of the centre value line of the distribution have to mirror each other.

In this case neither website K nor L have that. Thus, statement H is not correct.

Skewed to the left means that more o

dot points are found to the left of the graph.

For website L, more dot points are located to the left while for website K, it's not the case. Thus, statement J is not correct

Answer:

f

Step-by-step explanation:

Answer:

5/8 +4/8 -(-6) =

9/8 + 6 =

9/8 + 48/8 =

57/8

Step-by-step explanation:

Answer:

D. 6

Step-by-step explanation:

Finding M:

M is the midpoint of L and P, which is given by the mean coordinates of L and P.

x for L is -3, and for P is 9. So

(-3 + 9)/2 = 6/2 = 3

Finding N:

N is the midpoint between M and P, that is, the mean between the coordinates of M and P. So

(3 + 9)/2 = 12/2 = 6

The correct answer is given by option D.

Answer:

X= $3.99

Step-by-step explanation:

X is the value of each book

Answer:

x=3.99

Step-by-step explanation:

3x + 1.5= 13.47

3x + 1.5 - 1.5 = 13.47 - 1.5

3x = 11.97

3x/3 = 11.97/3

HOPE THIS HELPSSS

Answer:

Answer the question yourself and stop being lazy!

Step-by-step explanation:

6 persent

75,000 infour year's

follow me

nice study

I think 22400 mainly because i did the calculation

12500 * .2 4 times and got that answer.

ok

a I'm sure

14*7*8

Step-by-step explanation:

we should multiple everything

Answer:

obama your mama she looks like joe mama

Answer:

x=11

Step-by-step explanation:

You do 38/3x+3 and 19/x+7 and then cross mulitply and get 57x+57=38x+266. Then yoy subtract 57 from 266 and get 57x=38x+209. Now you have to subtract 38 from 57 and then answer will be 19. So now you have 19x=209. Finally you divide 209 by 19 and get x=11. Good luck!

Answer:

True

Step-by-step explanation:

Answer:

A. 1

Step-by-step explanation:

Answer:

1) x= sqrt 98 = 7 sqrt 2

Step-by-step explanation:

By the fundamental theorem of algebra, we can write the given quadratic in terms of its roots a and b as

3x ² - 5x + k = 3 (x - a) (x - b)

and upon expanding, we have

3x ² - 5x + k = 3x ² - (a + b) x + ab

Two polynomials are equivalent if their coefficients are equal, so

a + b = 5

ab = k

We're given that |a - b| = 2. If we assume a > b (that is, a is the larger root) then |a - b| = a - b = 2, or b = a - 2. Substitute this for b in the first equation above and solve for a :

a + (a - 2) = 5

2a - 2 = 5

2a = 7

a = 7/2

Solve for b :

b = 7/2 - 2

b = 3/2

Solve for k :

k = 7/2 × 3/2 = 21/4

Answer:

C is the answer

Step-by-step explanation:

All you have to do is plug 12 in for x and 4 in for y

3(12) + 5(4) = solve

36 + 20 = 56

Hope that helps

Answer:

x*$10 + y*$16 = $480

Step-by-step explanation:

The question seems incomplete, and after a search online I've found a lot of similar questions with similar numbers, so I really can not be sure of which one is the complete question.

I suppose that we want to get a linear equation that describes the given situation:

Let's define two variables:

x = number of hours that Maggie works in the office (for $10 each)

y = number of hours that Maggie works driving a tractor (for $16 each).

Then the total amount of money that Maggie gets is:

x*$10 + y*$16

Now we know that she earns $480 per week, then we know that:

x*$10 + y*$16 = $480

This is a linear equation we wanted to get, where (just to be complete) we need to add the restrictions:

x ≥ 0

y ≥ 0

(this means that she can not work a negative number of hours).