Answer:
-3.4
Step-by-step explanation:
-26=10A+8
-26-8=10A
-34=10A
-34/10=A
-3.4=A
Answer:
9.6 mi
Step-by-step explanation:
in right triangle ABC,
AC = 16 mi
BC = 24 mi
If AM is the median, then CM = MB = 12 mi
Consider triangles CAM and EBM. In these triangles,
- angles CMA and EMB are congruent as vertical angles;
- angles ACM and MEB are congruent as right angles.
So, triangles CAM and EBM are similar by AA postulate.
Similar triangles have proportional corresponding sides, so
By the Pythagorean theorem,
Answer:
0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 130 and a standard deviation of 11.
This means that
What is the probability that the next game Victoria bowls, her score will be between 123 and 130?
This is the p-value of Z when X = 130 subtracted by the p-value of Z when X = 123. So
X = 130
has a p-value of 0.5
X = 123
has a p-value of 0.2611
0.5 - 0.261 = 0.239
0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130