Let x+y=10 be equation (1)
and y=x-4 be equation (2)
from (2)
y=x-4...(3)
sub (3) into (1)
x+(x-4)=10
x+x-4=10
2x=12
x=6
sub (x) into (3)
y=6-4
y=2
Right triangle can be rotated to create a cone!
Answer:
m∠1 = 105°
m∠2 = 75°
Step-by-step explanation:
Lines a and b are parallel.
1. Angles 1 and 75° are the same side angles when two parallel lines a and b are cut by transversal t.
The same side angles add up to 180°, so
m∠1 + 75° = 180°
m∠1 = 180° - 75°
m∠1 = 105
2. Angles 2 and 1 are supplementary (add up to 180°), then
m∠1 + m∠2 = 180°
m∠2 = 180° - 105°
m∠2 = 75°
Answer: Our required answer will be

Step-by-step explanation:
Since we have given that

We need to get the difference:
1) We first open the second bracket and make appropriate change in signs :

2) Gather the like terms together :

Hence, our required answer will be

Answer:
0.13% of students have scored less than 45 points
Step-by-step explanation:
Problems of normally distributed samples can be 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:

About what percent of students have scored less than 45 points?
This is the pvalue of Z when X = 45. So



has a pvalue of 0.0013
0.13% of students have scored less than 45 points