Given:
A baseball player get a hit in 31% of his at-bats.
To find:
The probability that he will get a hit 5 at-bats in a row.
Solution:
Since, a baseball player get a hit in 31% of his at-bats, therefore
Probability that he get a hit = 
= 
Now, the probability that he will get a hit 5 at-bats in a row is
Therefore, the required probability is 
and it can be written as 0.0028629151
.
Answer:
40 min is the answer
Step-by-step explanation:
To solve this we need to convert all the units into SI units
for ritu,
speed= 90km/hr
= 90 × 1km/ 1hour
= 90×1000/3600 m/s
= 25m/s
distance = 120×1000m
time = distance/ speed
= 120000/25
= 4800sec
= 4800/60min
= 80 min
for garima,
distance =120×1000m
speed = 60km/hr
= 60×1000/3600 m/s
=100/6 m/
time = 120000/(100÷6)
= 7200sec
= 7200÷60 min
= 120 min
time difference is 120-80 = 40 min
Answer:
Yes, they are congruent
Step-by-step explanation:
Two figures are congruent if they have the same side lengths and the same angles, all in the same order. (I mean "same order" by you couldn't have a rectangle and a kite with different orders of the sides being congruent). Now, if we use this, we can compare the sides and angles to find out that they are indeed congruent.
The number of positive and negative roots or zeros of a polynomial function is predicted through the Descartes Rule of Sign. This was first described by Rene Descartes in his work La Geometrie. The technique is for determining an upper bound on the number of positive and negative real roots.
Arc PR is 156 degrees. Since both angles are are making the forming arc they should be congruent. You can put (5x+23)=(9x-21) which is x=11.
Then you plug in 11 into your equation; 5(11)+23=78.
Since the vertex is on the outside of the circle then the arc is forms is 2 times the value of the angle.
78(2)=156
