1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kakasveta [241]
3 years ago
8

You are a researcher studying the lifespan of a certain species of bacteria. From a previous study, it was found that the standa

rd deviation was 5.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.65 hours at a 99% level of confidence. What sample size should you gather to achieve a 0.65 hour margin of error? Round your answer up to the nearest whole number.
Mathematics
1 answer:
defon3 years ago
6 0

Answer: 425

Step-by-step explanation:

As considering the given description, we have

Population standard deviation: \sigma=5.2

Margin of error : E = 0.65

Critical value for 99% confidence interval : z_{\alpha/2}=2.576

Formula to find the sample size : n=(\dfrac{z_{\alpha/2}\cdot \sigma}{E})^2

i.e. n=(\dfrac{(2.576)\cdot (5.2)}{0.65})^2

=(20.608)^2=424.689664\approx425

Hence, the required minimum sample size =425

You might be interested in
I need help with this
Harlamova29_29 [7]

Answer:

50 degrees.

Step-by-step explanation:

The three angles make up a straight line angle which = 180 degrees, so:

C = 180 - 65 - 65

= 50 degrees.

7 0
2 years ago
Read 2 more answers
If f^-1(x) is the inverse of f(x), which statement must be true?
k0ka [10]
F(f-1x)   will be equal to x

take a simple example 

f(x) = 2x

so x = f(x) / 2

 f-1(x) = x/2

f(f-1x) =  2 ( x/2)  = 2 * x/2 = x
5 0
3 years ago
Read 2 more answers
Can someone help me solve x
evablogger [386]

Answer:6

Step-by-step explanation:solve the equation, you know that it equals 90 because the angle is 90

so 16x-6=90

+6 both sides

16x=96

divided by 16 both sides to isolate x

x=6

4 0
3 years ago
Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts
Damm [24]

Answer:

t=2.08 seconds.

Step-by-step explanation:

Well, in this example, H(t)=-0.6cos(2pi/2.5)t+1.5 should be equal to 1.2. If calculated, -0.6cos(0.8pi)t=1.2-1.5 which is equal to -0.6cos(0.8pi)t=-0.3, then cos(0.8pi)t=0.5. The value of cosine in terms of radians when it is equal to 0.5 is pi/3. So, cos(0.8pi)t=cos(pi/3). If simplified, (0.8pi)*t=5pi/3. pi's are cancelled out and t is calculated as 2.08333... If rounded to the nearest hundredth it is 2.08.

4 0
3 years ago
An office supply Store A is offering copy paper for $3.00 per pack. Store B is running a special of buy two for $4.20 each and g
iVinArrow [24]
A. would be the answer

7 0
3 years ago
Read 2 more answers
Other questions:
  • Is this linear relationship proportional or non-proportional? Y = 2/3 x
    8·1 answer
  • Question 5
    13·2 answers
  • In the rectangular prism shown below, which lines are parallel?
    12·2 answers
  • What is the most specific name for quadrilateral ABCD ?
    14·1 answer
  • Translate the word phrase into an algebraic expression.
    8·1 answer
  • You are mailing a package that weighs 5 pounds, and sending it first class. The post office charges $0.44 for the first ounce, a
    11·1 answer
  • Hate math to be honest
    5·2 answers
  • Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4, 8). Select all that appl
    12·1 answer
  • I need help with this problem can somebody help me
    15·1 answer
  • What is the best estimate for the value of 3/2
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!