Answer:
D. 50
Step-by-step explanation:
a = 90° (angle subtended in semicircle)
a + c + 40° = 180° (by angle sum postulate of a triangle)
90° + c + 40° = 180°
c + 130° = 180°
c = 180° - 130°
c = 50°
Answer:
0.05N - 0.1N + 1.7 (in dollars
1.7 - 0.05N (in dollars)
Step-by-step explanation:
Given :
Total number of coins = 17
Number of nickels = N
Number of dimes = 17 - N
1 nickel = 5 cent = $0.05
1 dime = 10 cent = $0.1
The amount of money :
(Value of nickel * number of nickels) + (value of dime * number of dime)
(0.05 * N) + (0.1 * (17-N))
0.05N + 1.7 - 0.1N
0.05N - 0.1N + 1.7
-0.05N + 1.7 = 1.7 - 0.05N
Answer:
C
Step-by-step explanation:
The parallel postulate is one of Euclid main axioms. Since it was accepted as self evident.
A is wrong, any two points can be drawn a straight line through. And straight lines exist in plane geometry.
B and D is wrong, the angle measures of a triangle must add up to 180 degrees in plane geometry.
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
Answer:
b. Yes, probability is > 0.05
Step-by-step explanation:
We have to find P(X=3) and if the probability is below 0.05 then the it would be unusual and if it isn't below 0.05 we believe that the data from the blood program.
This probability can be found bu binomial distribution with parameters n=6
and p=0.4.
P(X=x)=nCx(p^x)(q^n-x)
where q=1-p=1-0.4=0.6.
P(X=3)=6C3(0.4^3)(0.6^3)
P(X=3)=20(0.064)(0.216)
P(X=3)=0.27648
As the probability that the three have a blood group is greater than 0.05, so, we believe that the data from the blood program.
