Lim x tends to a {x^7-a^7/x^3-a^3]

The FDA regulates that fresh Albacore tuna fish that is consumed is allowed to contain 0.82 ppm of mercury or less. A laboratory

puteri [66]

Answer:

$n=(\frac{2.17(0.143)}{0.023})^2 =182.03 \approx 183$

So the answer for this case would be n=183 rounded up to the nearest integer

Step-by-step explanation:

Information provided

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma = 0.143$ represent the population standard deviation

n represent the sample size

$ME = 0.023$ the margin of error desired

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.023 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The confidence level is 97% or 0.97 and the significance would be $\alpha=1-0.97=0.03$ and $\alpha/2 = 0.015$ then the critical value would be: $z_{\alpha/2}=2.17$ , replacing into formula (5) we got:

$n=(\frac{2.17(0.143)}{0.023})^2 =182.03 \approx 183$

So the answer for this case would be n=183 rounded up to the nearest integer

4 0

3 years ago

A recipe calls for 2 cups of sugar for each 5 cups of flour. How many cups of sugar needed for 15 cups of flour?

jonny [76]

Answer:

6 cups of sugar

Step-by-step explanation:

2/5=x/15

x=6

8 0

3 years ago

In circle L with KNM= 53, find the angle measure of minor arc KM

Anestetic [448]

Answer:

106

Step-by-step explanation:

8 0

3 years ago

suppose the linear regression line y= 2.4x + 3.1 predicts the time,in minutes it takes you to be served at a food stand if there

Scorpion4ik [409]

Answer:

Just substitute "x" with "3".

Step-by-step explanation:

y = 2.4x + 3.1

y = 2.4(3) +3.1

y = 7.2 + 3.1

y= 10.3

Answer: 10.3 minutes

3 0

4 years ago

Read 2 more answers

Two particles, A and B, are initially 37.5 m apart. A is projected in a straight line directly towards B with initial speed 2 ms

Arisa [49]

Answer: 6.66 metres

Step-by-step explanation:

Given that the two particles, A and B, are initially 37.5 m apart.

Acceleration a = velocity/time

Make time t the subject of the formula.

Time t = velocity/acceleration

Time taken by particle A will be

Time t = 2/0.6 = 3.33 seconds

Let's use 2nd equation of motion

S = Ut + 1/2at^2

Distance covered by particle A will be achieved By substitute the values for speed and acceleration into the formula

S = 2 × 3.33 + 1/2 × 0.6 × 3.33^2

S = 6.66 + 0.3 × 11.1

S = 9.99 m

Time taken by particle B will be

Time t = 3/0.4 = 7.5 seconds

Distance covered by particle B will be by using the same formula

S = 3 × 7.5 + 1/2 × 0.4 × 7.5^2

S = 22.5 + 0.2 × 56.25

S = 33.75 metres

Adding the distance covered by particle A

Distance = speed × time

Distance = 2 × 3.33 = 6.66

the distance from A's starting point to C. Is 6.66 metres

6 0

3 years ago