Weight is 1.7 × 10^5 kg
Step-by-step explanation:
- Step 1: Given that the weight of the blue whale = 170 tonnes
- Step 2: Convert the number of tonnes into kg.
⇒ 170 tonnes = 170 × 1000 (1 tonne = 1000 kg)
⇒ 170 tonnes = 17 × 10^4 kg
- Step 3: Convert it into standard format, that is with just one decimal point.
⇒ 17 × 10^4 = 1.7 × 10^5 kg (Dividing and multiplying by 10 on both sides)
We do the midpoint formula to find the center of the circle to get the left side of the equation.
Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]
Now plug in:
[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)
The center of the circle is (6, -4)
Now we plug it into the equation of a circle:
(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.
(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C
Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:
√((X₂ - X₁)² + (Y₂ - Y₁)²)
We plug in using either of the endpoints.
√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8
√8 is your radius
(√8)² = 8
Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
Answer:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent points in a game of bowling of a population, and for this case we know the distribution for X is given by:
Where
and 
We know that the value for Renee is X=175 and the z score obteined was Z=2.
Solution to the problem
And the best way to solve this problem is using the normal standard distribution and the z score given by:
We are interested on the value of
and we can solv for it:


And replacing the values we have:

%30.3
165-115= 50 (number of female engineers)
50/165= 30.3030
Answer:
some students get it
Step-by-step explanation: