Answer:
a. Mean = 155.1 grams
b. Standard deviation = 0.37
c. Fractional uncertainty = 0.074
Step-by-step explanation:
a. Average weight
This is same as the mean weight;
Mathematically, that would be; sum of the weights/ the number of weights
= (155.1 + 154.8 + 155.5 + 155.3 + 154.6)/5 = 775.3/5 = 155.06 which is approximately 155.1
b. Standard deviation
Mathematically; we calculate that using the formula;
√{(x-mean)^2/(N-1)}
Please check attachment for for the complete breakdown of this
c. Fractional uncertainty
= Standard deviation/number of measurements = 0.37/5 = 0.074
<span>Amoeba splits 3 times an hour. If Amoeba can split into two every 20 mins then if you divide 60 mins (which would be an hour) by 20 mins (the time they split) you would find that Amoeba can split 3 times in an hour. The question asks how many times it can split in two hours. To find this you have to multiply the 3 times 2. This means that a single Amoeba can split 6 times in two hours. There are 15 Amoeba which means if you take 15 Amoeba time 6 in two hours and 90 would be your answer. There will be 90 Amoeba after the two hours.</span>
If the area of the paper is 625 sq in, the length of one side of this square is sqrt(625 sq in), or 25 inches. That's the min. side length of an easel that is to support the whole sheet of paper along its lowest side.
Perimeter of the triangle is 30.75 inches.
Step-by-step explanation:
- Step 1: Given sides of the triangle = 11.25 in, 9.25 in, 10.25 in
- Step 2: Formula for perimeter of triangle = length of sides of the triangle
- Step 3: Substitute in the formula
Perimeter = 11.25 + 9.25 + 10.25
= 30.75 inches
<em>*Remember that A = angle and S = side.</em>
So remember that <u>similar figures have congruent angles and proportional sides.</u> Looking at triangles ABC and DEF, they both share 85° and 30° angles. <u>With this, the two triangles are similar by AA, or the first option.</u>
