Answer:
c. 3.6 and 10.4 hrs
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 7, standard deviation 1.7.
For about 95% of students, nightly amount of sleep is between
7 - 2*1.7 = 7 - 3.4 = 3.6 hours
7 + 2*1.7 = 7 + 3.4 = 10.4 hours
So the correct answer is:
c. 3.6 and 10.4 hrs
8 hours at a rate of 7 carvings per hour. he wants 63 carvings. so 63/7= 9.
8 x 9 = 72. Iw will take him 72 hours to make 63 carvings
Answer:
Longer Leg = 5
Shorter Leg = 144
Hypotenuse = 169
Step-by-step explanation:
Answer:
Explanation:
The distance traveled by June, from A to D, is the sum of the distance from A to C plus the distance from C to D:
- Travel from A to D = Distance AC + Distance DC.
<u>1) Find the distance AC</u>
- Triangle ABC is a right triangle, from which you have to calculate the hypotenuse (AC), knowing angle A (50º), and its adjacent leg (217 m).
- AC = 217m / cos (50º) = 337.59m
<u>2) Find the distance DC</u>
First, you need to calculate the side BC which is a common side of both triangles ABC and DBC.
You can use Pythagora's or a trigonometric function (tangent or sine).
- tan (50º) = BC / 217 m ⇒ BC = 217 m × tan (50º) = 258.61 m
Now you can use Pythagora's theorem to find the distance DC, which is the hypotenuse of the triangle DBC:
- DC² = (170m)² + (258.62)² = 95,779.41m²
<u>3) Find the total distance traveled from A to D</u>
- Travel from A to D = Distance AC + Distance DC = 337.59m + 309.48m = 647.07 m ≈ 647m.
Step-by-step explanation:
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