Answer:
<h2>
11.2≤
12.8 </h2>
Step-by-step explanation:
Confidence interval for the population mean is expressed by the formula;
CI = xbar ± Z(S/√n) where;
xbar is the sample mean = 12.5
Z is the z score at 99% confidence = 2.576
S is the standard deviation = √variance
S = √2.4 = 1.5492
n is the sample size = 25
Substituting the given values into the formula given above,
CI = 12.5 ± 2.576(1.5492/√25)
CI = 12.5 ± 2.576(0.30984)
CI = 12.5 ± 0.7981
CI = (12.5-0.7981, 12.5+0.7981)
CI = (11.2019, 12.7981)
Hence the 99% confidence interval for the population mean is 11.2≤
12.8 (to 1 decimal place)
Answer:
500 minutes
Step-by-step explanation:
100% = x
15% = 75
We multiply 75 by 100 and divide the answer by 15
7500 / 15 = 500 minutes
The length of an arc is given by θ/360×2πr, where θ is angle subtended by the arc to the center and r is the radius of the circle.
The length is 12 units, and θ/360 is 1/3
Therefore, 12 = 1/3 × 3.142 ×r
r = 12× 3/3.142
r = 11.457 units
≈ 11 units
The answer is 21% because a 6-oz fillet of salmon contains about 750 mg of potassium. 3500-750 equals 2750, meaning that whichever percent closest to that answer is correct. 3500 - 21% = 2760 which is the closest number to the correct percentage therefore A. Is the answer.
To solve this equation we must first plug in 5 for x.

<span> (5 - 4x)
</span>↓

(5 - 4 · 5)
The next step would be to multiply 4 by 5 to get rid of the parenthesis within our main parenthesis.

(5 - 4 · 5)

(5 - 20)
The next step would be to subtract both of the numbers within the parenthesis.

(-15)
Now we must multiply.
-

· 15 = -

-

Now we simplify our answer to get our final answer.
-5