Answer:
C. 0.403
Step-by-step explanation:
Binomial distribution has two parameter n and p. Here, n=15 and p=0.60.
We have to find the probability of 10 or more will show that the hamburger, French fries and a drink were ordered. P(X≥10)=?
The binomial probability distribution function for random variable X is
where q=1-p=1-0.6=0.4,n=15 and p=0.6.
P(X≥10)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)
=0.185938
=0.126776
=0.063388
=0.021942
=0.004702
=0.000470
P(X≥10)= 0.185938
+0.126776
+0.063388
+0.021942
+0.004702
+0.000470
P(X≥10)=0.403216
So, the probability of 10 or more will show that the hamburger, French fries and a drink were ordered is 0.403.
Answer:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
Step-by-step explanation:
At Image I, we have vertex at point (3,-2), and the length of the left side is of 1 unit(from -2 to -3).
In the larger figure, this length is of 2 units, so the dilation has a scale factor of 2 units. The rotation, due to the coordinates changing, is of 90º counterclockwise(if it was across the x-axis, only the y coordinate would change, but on image II, both coordinates change).
So the correct answer is:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
Answer:
1, 2 and 4
Step-by-step explanation:
1.32m2/16m +48m/16m =2m +3
2.4m2/2m +6m/2m =2m+3
4.10m2 /5m +15m/5m= 2m+3
From the graph we can observe the following characteristics:
a) The graph is rising towards the left and falling towards the right. Since the two ends of the graph are in opposite direction, the degree of the polynomial which is represented by the graph will be odd. In case of even degree, the both ends face the same direction.
b) The coefficient of the polynomial must be negative. Only in this case the graph will fall towards right and rise towards left. In case of a positive coefficient, the graph falls towards left and rise towards right.
So, the polynomial represented by above graph will have negative coefficient and odd degree, which is represented by option C.
So, the answer to this question is C
the x's are multiply
that is the associative poprety of multiplcation
so
(ab)c=a(bc)
so
(3x10)x8=3x(10x8)
