Answer:
red marbles=3/10,green marbles=3/10,blue marbles=4/10
Step-by-step explanation:
The first thing I did is find the outcome which is the total number of marbles and finding the outcome to each marble knowing how much marbles are in one specific color like there are 3 marbles which are red and 10 marbles total so the outcome would be 3/10 chance in picking a red marble,the same goes to the rest of the colored marbles...sorry if I wrote too much
Answer:
Decreasing value
Step-by-step explanation:
Step-by-step explanation:
Lines AC and BC are radii of the circle, which means that triangle ABC is an isosceles triangle.
Since triangle ABC is an isosceles triangle, the measures of the base angles CBA and CAB are equal.
We know that the measure of angle CBA = 28º so the measure angle CAB must also equal 28º because the base angles of an isosceles triangle are equal.
Line ED is perpendicular to the radius AC and tangent to circle C at point A.
Therfore, angle EAC is equal to 90º and angle DAC is equal to 90º.
Angle DAC is made up of angle CAB and angle DAB.
So the measure of angle DAC (90º) minus the measure of angle CAB (28º) equals the measure of angle DAB.
90º - 28º = 62º
The measure of angle DAB is 62º
Answer:
Probability is 0.0174
Step-by-step explanation:
Given data
mean = 140
variance = 25
no of sample n = 49
to find out
probability of the sample
solution
standard deviation is
standard deviation =
standard deviation = 5
we mean by more than 1.7 millimeters so
mean (X1) = mean + 1.7 or mean - 1.7
so probability = X1 -mean/ ( standard deviation / )
probability = 140 -1.7 -140 / ( 5 / )
probability = - 1.7 / 35 = -0.048
probability = 140 + 1.6 -140 / ( 5 / )
probability = 1.7 /35 = 0.048
so required probability is i.e
= P(X1 < mean - 1.7 ∪ X1 > mean + 1.7 )
= 1 - P(mean -1.7 < X1 < mean +1.7 )
= 1 - P(-0.048 < X1 < 0.048 )
= 1 - 0.9826
= 0.0174
so required probability is 0.0174