O = x, h=15 angle = 23
sin 23 = o/h
sin 23 x 15 = x
x=5.9 --> C
Answer:
Critical value is -1.98.
Step-by-step explanation:
Given:
The value of alpha is, ![\alpha=0.024](https://tex.z-dn.net/?f=%5Calpha%3D0.024)
Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.
The probability of critical value is given as:
![P(critical)=1-\alpha=1-0.024=0.976](https://tex.z-dn.net/?f=P%28critical%29%3D1-%5Calpha%3D1-0.024%3D0.976)
So, from the z-score table, the value of z-score for probability 0.976 is 1.98.
Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.
So, the z-score for critical value 0.024 in a left tailed test is -1.98.
Answer:
44 cm
Step-by-step explanation:
Half of the diameter is the radius so half 88 to get 44 since 88 is the diameter.
Rick needs to leave at 7:55am to get to school on time.
7:55am is 20 minutes before 8:15am.
Answer:
120 miles
Step-by-step explanation:
Distance = 150 miles
train 1 = 60 mph
train 2 = 90 mph
directions of trains = towards each other
Time to meet = 150/(60+90) = 150 miles / 150 mph = 1 hour
Speed of fly = 120 mph
Since fly has been flying for one hour, it travelled 120 miles.