Answer:
0.8808
Step-by-step explanation:
The objective is to calculate the probability of:
P(-1.20 ≤ z ≤ 2.64)
i.e. the probability that is the area between two z-values.
Thus;
P(-1.20 ≤ z ≤ 2.64) = P(z ≤ 2.64) - P( z ≤ 1.20)
From z table;
P(-1.20 ≤ z ≤ 2.64) = 0.9959 - 0.1151
P(-1.20 ≤ z ≤ 2.64) = 0.8808
We can see the shaded area under the standard normal curve from the image attached below.
25/10= 2.5
So, we know that the larger triangle is bigger than the smaller one by a dilation of 2.5.
14*2.5= 35
x= 35
I hope this helps!
~kaikers
Check out Desmos.com graphing calculator if you need help with graphing
Answer: 1 hour 20 minutes
<u>Step-by-step explanation:</u>
Let's figure out how long it would take 1 person to dig the hole and then divide that number by 9 (since they are sharing the workload).

Refer to the diagram shown below.
Given:
m∠A = 19°
c = 15
By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835
cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828
Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)