Answer:
108 cm^2
Step-by-step explanation:
rectangle + 2 triangle = total area
L x W + 2 * 1/2 base * height = total area
(5x12) + 2 * 1/2 * 12 * 4 = total area
60 + 48 = 108 cm^2
Answer: See the figure attached.
Step-by-step explanation:
1. To solve this exercise and locate the numbers shown in the problem on the number line, you can convert them from fractions to decimal numbers by dividing the numerator by the denominator. Therefore, you obtain:
10/3=3.33
17/3=5.66
2. Now, you can draw a number line (like the one shown in the figure attached) and locate the numbers as you can see in the image.
The measure of B will be given by:
cos θ= adjacent/hypotenuse
θ=B
adjacent=a=2
hypotenuse=c=√5
thus;
cos B=2/√5
thus
B=arccos 2/√5
B=26.565°~26°
Answer:
a. 0.15%
Step-by-step explanation:
The Z-score of a 945-lb car is ...
(X -μ)/σ = (945 -3550)/807 ≈ -3.23
The empirical rule tells you that about 99.7% of the normal distribution is within 3σ of the mean, so less than 1/2 of 0.3% will be more than 3σ below the mean. The most appropriate of these choices is 0.15%.
_____
The CDF of a normal distribution changes rapidly in the tails, so the difference between 3σ and 3.23σ is pretty large. The actual probability is nearer 0.062%.
