Mai's penny bank can hold 498 pennies without being full.
Answer:
m(arc ZWY) = 305°
Step-by-step explanation:
8). Formula for the angle formed outside the circle by the intersection of two tangents or two secants is,
Angle formed by two tangents =
=
=
= 40°
9). Following the same rule as above,
Angle formed between two tangents =
125 =
250 =
250 = m(arc ZWY) - 55
m(arc ZWY) = 305°
Therefore, measure of arc ZWY = 305° will be the answer.
10). m(arc BAC) =
=
=
= 74°
Answer:
74.86% probability that a component is at least 12 centimeters long.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Variance is 9.
The standard deviation is the square root of the variance.
So
Calculate the probability that a component is at least 12 centimeters long.
This is 1 subtracted by the pvalue of Z when X = 12. So
has a pvalue of 0.2514.
1-0.2514 = 0.7486
74.86% probability that a component is at least 12 centimeters long.
4 x 2 over 2
8/2 + 1/2 = 9/2
3 x 4 over 4
12/4 +1/4 = 13/4
Top times top over bottom times bottom.
9 x 13 over 2 x 4
117 / 8
14 and 5/8
Answer:
34
Step-by-step explanation:
We know the straight line is equal to 180°, and the three angles that make it are (x+12),100°, and x. We can use the equation 180=(x+12)+100+x to find x.
180=(x+12)+100+x
We can remove the parentheses and combine x plus x to 2x.
180=100+2x+12
100+12=112
so
180=112+2x
-112 -112
68=2x
÷2 ÷2
34=x