You are a researcher studying the lifespan of a certain species of bacteria. From a previous study, it was found that the standard deviation was 5.6 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 98% level of confidence. What sample size should you gather to achieve a 0.45 hour margin of error?

Answers

Answer 1

Answer:

The sample size is  [tex]n =  841 [/tex]

Step-by-step explanation:

From the question we are that

    The standard deviation is  [tex]\sigma = 5.6 \ hours[/tex]

     The margin of error is  [tex]E = 0.45[/tex]

From the question we are told the confidence level is  98% , hence the level of significance is    

      [tex]\alpha = (100 - 98) \%[/tex]

=>   [tex]\alpha = 0.02[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.33[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>   [tex]n = [2.33 } *  5.6}{0.45} ] ^2[/tex]

=>   [tex]n =  841 [/tex]


Related Questions

) Write an expression to show the amount of

soup Marta has left. Let s equal the number

of ounces of soup Marta makes.

2

S

32

Answers

Answer:

s-32

Step-by-step explanation:

i got it correct:)

S-32 is the expression to show the amount of soup Marta has left

What is Expression?

An expression is combination of variables, numbers and operators.

Given,

Marta makes S ounces of soaps.

She always freezes 32 of the soap for remaining.

We need to find the expression to show the amount of soup Marta has left.

This can be done by the expression

S-32

where S is the number of ounces.

Hence, S-32 is the expression to show the amount of soup Marta has left

To learn more on Expressions click:

https://brainly.com/question/14083225

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Which choice includes two pairs of adjacent angles from the coordinate plane? 2 6 3 4 an 21 and 24, 22 and 25 26 and 25. 23 and 2 Z6 and 24. 21 and 23 © Z4 and Z5, Z2 and 26​

Answers

Answer:

you need to subtract those number in one whole and like this  2 6 3 4 an 21 and 24, 22 and 25 26 and 25. 23 and 2 Z6 and 24. 21 and 23 © Z4 and Z5, Z2 and 26​ the answer is -221

Step-by-step explanation:

The two pairs of adjacent angles from the coordinate plane are as follows;

∠ 6 and ∠ 5

∠ 3 and ∠ 2

Adjacent angles

Adjacent angles are angles that have a common side and a common vertex.

Therefore, the two pairs of adjacent angles are as follows;

∠ 6 and ∠ 5∠ 3 and ∠ 2

learn more on adjacent angles here: https://brainly.com/question/20537672

A person picking apples stand on a ladder 3.0 m above the ground. He throws them into
a basket 2.0 m away. How fast must the person throw the apple in order for it to land in
the basket?

Answers

3.0m = 1/2 (9.8) /\ t^2
/\t = 0.7825
/\ is a triangle

2.0m = V_x (0.7825)
V_x = 2.56 m/s
(V_x subscript x)


Write the equation of a line that passes through the points (-2, 3) and (-4, 4) in slope intercept form (y=mx+b).

Answers

Step-by-step explanation:

first step is to find the gradient of the line which "m" on the equation

gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given

2nd step is to substitute on the equation y=mx+c

m= -½

y= 3 (you can choose any from those given points but in my case I chose point A)

x= -2

c= ? only unknown variable so we can can calculate it

substitute as shown on the picture to get c= 2

therefore our equation of the line will be y= -½x+2

Exercise 12-4 Pooling overhead cost LO 12-2 Stuart Manufacturing Company produced 2,600 units of inventory in January 2018. It expects to produce an additional 8,700 units during the remaining 11 months of the year. In other words, total production for 2018 is estimated to be 11,300 units. Direct materials and direct labor costs are $82 and $66 per unit, respectively. Stuart expects to incur the following manufacturing overhead costs during the 2018 accounting period:
Production supplies $ 6,200
Supervisor salary 188,000
Depreciation on equipment 134,000
Utilities 29,000
Rental fee on manufacturing facilities 224,750 Required
1. Combine the individual overhead costs into a cost pool and calculate a predetermined overhead rate assuming the cost driver is number of units. 2. Determine the cost of the 2,600 units of product made in January.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Total number of units= 11,300

Total overhead= 6,200 + 188,000 + 134,000 + 29,000 + 224,750= $581,950

To calculate the predetermined manufacturing overhead rate we need to use the following formula:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate= 581,950 / 11,300

Predetermined manufacturing overhead rate= $51.5 per unit

Now, we can calculate the total cost of making 2,600 units:

Total cost= (82 + 66 + 51.5)*2,600

Total cost= $518,700

Help ASAP please I’m begging you

Answers

Answer:

the j will be the highest one on the y axis

Step-by-step explanation:

the y-asis goes up and down

10 is positive so it goes up

5,7 is less than 10 so it goes below 10

Is this algebra one or two please mark me brainilist I need 1 more

Can some one help me I’ll mark brainliest answer‼️‼️

Answers

Answer:

i think its 5.652 hope it helps

Step-by-step explanation:

Parcel B is 3 times as heavy as Parcel B. The total mass of Parcel B and Parcel A is 5 kg. How heavy us Parcel A?​

Answers

Answer:

5/4 kg is Parcel A

im guessing what you meant was that parcel B is 3 times as heavy as A.

Step-by-step explanation:

Lets say parcel A is x

3x would be parcel b

x + 3x = 5 kg

4x = 5 kg

x = 5/4 kg

Solve for x: −7 x > 9

Answers

There's not much to do here.

-7x > 9

Divide both sides by -7. When dividing by a negative number, you must reverse the inequality sign.

x < -9/7

Done.

factor 2w+6

Please explain? I'd like to understand how you did it so that I can do it myself the next time, thanks a mil :)

Answers

Answer:

2( w + 3 )

Step-by-step explanation:

Well first off, since theres no common term to factor out, I had to split 6 in half

so 2 w + 6 becomes 2w + 2 x 3.

I then factored out 2 because it's a common term,

which then leaves: 2( w + 3 )

basically, you have to find a common term to factor out, if you don't see one, you have to do something to a number so there's common terms.

On September 16, 2011, the New York Times reported that the American public's approval rating of Congress had sunk to an all-time low of 12%. Suppose we wanted to carry out another poll the following week. How many individuals must we survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence?

Answers

Answer:

The sample size is  [tex]n = 451 [/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  E = 0.03

    The sample proportion is  [tex]\^ p = 0.12[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>   [tex]n = [\frac{1.96}{0.03} ]^2 *0.12 (1 - 0.12 ) [/tex]

=>   [tex]n = 451 [/tex]

This question is based on concept of normal distribution.Therefore, 451 individuals must  survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence.

Given:

The sample size is n=451.

According to question,

The margin of error is E = 0.03

The sample proportion is  [tex]\bold{\hat{p}}[/tex] =0.12

From the question, the confidence level is 95% , hence the level of significance is,

[tex]\alpha =(100-95)\%\\\bold{\alpha =5\%=0.05}[/tex]  

Normally, as per the normal distribution table the critical value  of,

[tex]\dfrac{\alpha }{2}[/tex] is

[tex]\bold{Z_\frac{\alpha }{2} =1.96}[/tex]

And ,the sample size in mathematically represented as,

[tex]\begin{aligned}n&=(\frac{Z_\frac{a}{2} }{E})^{2} \times \hat p(1-\hat p)\\n&=(\frac{1.96}{0.03})^2 \times 0.12(1-0.12)\\\bold{n&=451} \end{aligned}[/tex]

Hence, there are 451 individuals must we survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence.

For further details, please prefer this link:

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Which list shows how many equal sized groups of 28 students Ms. Lee can make

Answers

There’s no picture of a list for us to see

Answer:

1,2,4,7,14, or 28

Step-by-step explanation:

I got it right

Find the two partial products in this problem.
1,407x14

Answers

Answer:

    1,407

x       14

_______

     5,628

+   1,4070

______

  19,698

The two partial products are 5,628 and 14,070

Help me will give brainliest

Answers

Answer:

18.2

Step-by-step explanation:

A way we can find the average is by finding the mean.

Mean is found when you add up all the numbers and divide by the total amount of values there are.

In this case there are 5 values in total.

[tex]\frac{17+24+19+17+14}{5}[/tex] = 91/5 = 18.2

Answer:

18.2

Step-by-step explanation:

add all values together and divide by number of values.

17+ 24+ 19+ 17+14

then divide by 5

Calc BC problems. Need work

Answers

Answer:

f'(0) = -2

f'(-2) = dne

[tex]\lim_{h \to 0^+} \frac{f(2+h)-f(2)}{h} = \text{does not exist}[/tex]

Step-by-step explanation:

The question specifically asks us to use the graph of the function to evaluate the following problems.

In order to find the derivative of a function at a specific point on the graph:

Choose the point on the graph where you want to find the derivative.Figure out the tangent line to this point; this will be the line tangent to the curve of the graph at this point.The slope of this tangent line is the derivative at this certain point on the graph.

In order to find f'(0), find x = 0 on the graph. This is at the origin. Now, draw a line tangent to the curve of the graph at x = 0.

This tangent line will follow the same direction as the original function. So, we want to find the slope tangent line now - we can do so by finding the slope of the graph between the interval [-2, 2].

Slope of tangent line for f'(0):

Slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] Use coordinate points (-1, 2) and (1, -2)Slope of tangent line: [tex]\frac{-2-2}{1-(-1)} = \frac{-4}{2} =-2[/tex]

The slope of the tangent line for f'(0) is -2, therefore, this is the derivative at this point on the graph.

This is solving the problem graphically/algebraically, but you could also look at the graph and determine the rise/run in your head. Your choice.

Now, for f'(-2), we cannot use the same process as before since the graph shows that there is a sharp point at x = -2. This is called a "corner" and means that while the function is continuous, it is not differentiable.

Therefore, we can write that at f'(-2), the derivative does not exist (dne).

The same process occurs for f'(2), since there is a sharp point here. The derivative, based on the graph, does not exist.

Find the inequality represented by the graph.
Can someone please help me!!!!!!

Answers

Answer:

[tex]y<-\frac{4}{3}x+5[/tex]

Step-by-step explanation:

We first need to determine the equation of the line.

Thus, we will need to find our slope first. To do so, we need to pick two points from the line. We can use (0, 5) and (3, 1).

Now, we can use the slope formula. Therefore:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (0, 5) be (x₁, y₁) and let (3, 1) be (x₂, y₂). Substitute appropriately:

[tex]m=\frac{1-5}{3-0}=\frac{-4}{3}[/tex]

Therefore, our slope is -4/3.

Now, we can use the slope-intercept form:

[tex]y=mx+b[/tex]

Where m is our slope and b is the y-intercept.

We already determined that the slope is -4/3.

And (0, 5) tells us that the y-intercept is 5. Therefore, substitute:

[tex]y=-\frac{4}{3}x+5[/tex]

Finally, we need to determine our inequality sign.

Notice that our line is dotted. Hence, we do not need “or equal to.”

Also, the blue shaded region is below our line. Therefore, y must be less than our equation.

Hence, our sign is less than.

Therefore, our equation is:

[tex]y<-\frac{4}{3}x+5[/tex]

There are 8 circles and 20 triangles. What is the simplest ratio of circles to total shapes?

Answers

Answer:

8:20

Step-by-step explanation:

Please only answer this if you know the answer otherwise I will REPORT you thanks. This one is hard so I offers a lot of point. ONLY answer when you know the answer.

Answers

The answer is (C) 12+10[tex]\sqrt{3\\[/tex] !

C is the Answer ccccc

3radical din 7 minus radical din 7 minus 2radical din 7 plus radical din 8 minus 5 radical din 7 minus 3 radical din 2​

Answers

Answer:

=  -5√7 -(√2)

Step-by-step explanation:

3√7- √7 -2√7+√8 -5√7-3√2

=3√7- √7 -2√7 -5√7+√8 -3√2   (first we place similar radicands together)

=-5√7+√8 -3√2                     ( solve the similar radicands)

=-5√7+√2³ -3 (2^1/2)          ( break 8 into powers of 2)

=-5√7+ (2)^3/2  -3 (2^1/2)        (solve 2 power with the radical sign)

=  -5√7+(2^1/2){ 2-3}             ( taking2^1/2 as common)

=  -5√7+(2^1/2){ -1}                  ( solving the co - efficients of 2^1/2)

=  -5√7 -1 (2^1/2)  

=  -5√7 -(√2)          {answer}

(Ill be giving brainliest to who ever helppppss me!! :D)

Solve one and three fourths times two fourths.

A) fourteen sixteenths
B) fifteen sixteenths
C) seventeen sixteenths
D) eighteen sixteenths

Answers

Answer:

Option A

Step-by-step explanation:

In order to find the answer to this question you must change the mixed numbers into improper fractions and then solve.

[tex]1\frac{3}{4} \times\frac{2}{4}[/tex]

Convert into improper fraction:

[tex]4\times1=4+3=7[/tex]

(Remember to keep the denominator the same)

[tex]\frac{7}{4} \times\frac{2}{4}[/tex]

Now multiply:

[tex]7\times2=14[/tex]

[tex]4\times4=16[/tex]

[tex]=\frac{14}{16}[/tex]

Hope this helps.

Answer:

14/16

Step-by-step explanation:

(2^3x+1) 52 value of x is

Answers

Answer:

6^2x+52

Step-by-step explanation:

Max placed 6 cans in a box and the box was 40% full.How many cans will the box be able to hold when it’s completely full?

Answers

This is algebra 1 or 2?

Answer:

4 cans

Step-by-step explanation:

this can be 4 cans because if 6 cans equal 40% it's opposite so 4 cans equal 60% so full is 100% so 60%+40%=100%  

In a parking lot, 30% of the cars have a GPS. Write this as a decimal.
flesson 3)

Answers

Answer:

0.3

Step-by-step explanation:

30% out of 100% is 30/100 or 3/10. 3/10 as a decimal is 0.3.

If this helped I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

0.3

Step-by-step explanation:

30/100= 0.3

You get the 100 as all percentages add up to 100% if 30% of the cars have GPS then you will need to do 30/100 (the whole) to get your answer :)

SAT scores have been found to predict 36% of the variance in college
GPA. What is the correlation coefficient between SAT score and college GPA?
A. 0.18
B. 0.6
C. 0.06

Answers

A 0.18 is the difference between SAT and college GPA

What is the value of the expression shown below?

Please use the photo for whole question, it shows the answers.

Answers

Answer:

It should be

Step-by-step explanation:

B.23    1/4

Write the integer to represent the statement. 5ft below sea level

Answers

The answer would be -5
The answer would be -5ft below
Sea level

3. Solve the equation for x: 3x - 4 = 7x + 8

Answers

Answer:

=−3

Step-by-step explanation:

Answer:

B) x = -3

Step-by-step explanation:

3x - 4 = 7x + 8.

Subtract 7 from 3

3 - 7 = -4

-4x - 4 = 8

use additive inverses.

-4x - 4 + 4 = 8 + 4

8 + 4 = 12.

-4x ÷ -4 = 12 ÷ -4

x = -3.

Hope this helped.

In order to assess the opinion of students at the University of Minnesota on campus snow removal, a reporter for the student newspaper interviews the first 12 students he meets who are willing to express their opinion. The method of sampling used is:________.a. a censusb. a cluster samplec. a voluntary response sampled. a convenience samplee. a simple random sample

Answers

Answer:

Convenience sampling

Step-by-step explanation:

When a researcher gives more credence to ease when performing its sampling procedure, such sampling process may be referred to as convenience sampling. As described in the scenario above, rather than having to take a Systematic approach at examining the population so as to decide on the best sampling strategy to employ, the reporter of the student newspaper decides to take the easy path towards gathering the opinion of students by interviewing the first 12 students who are willing to give their opinion without any further consideration. Here, the reporter failed to eliminate any sort of possible bias which may be present, as all was sacrificed for the sake of convenience or ease.

Zachary found a string of pearls
that was 4 3/4 pounds. He found
another that was 3 1/2 pounds. How
many pounds of pearls did
Zachary find?

Answers

Answer:

He has 8 1/4 or 8.25 pounds of pearls

Step-by-step explanation:

4 3/4 + 3 1/2

You change 3 1/2 to 3 2/4 and then add them normal and change the improper fraction to a mixed number.

The area of a rectangle is 32 square inches. The length is 4 inches more than its width. Write and solve an equation to find the length and width of the rectangle. Show your work.

Answers

Answer:

Width = 4 in

Length = 8 in

Step-by-step explanation:

Given:

Area of a rectangle = 32 in²

Find:

Length and width

Computation:

Assume;

Width = x

Length = x + 4

Area of a rectangle = lb

32 = (x+4)(x)

x² + 4x = 32

x² + 4x - 32 = 0

x² + 8x - 4x - 32 = 0

x(x+8) - 4(x+8) = 0

(x-4)(x+8)

x = 4 , x = -8

So,

Width = x = 4 in

Length = x + 4 = 4 + 4 = 8 in

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