Answer:
0.3257
Step-by-step explanation:
Given an approximately normal distribution:
Z = (x - mean) / standard deviation
Mean = 496 ; Standard deviation = 110
For :
P(x > 545.7)
We obtain the standardized, Z score
Z = (545.7 - 496) / 110
Z = 49.7 / 110
Z = 0.4518
Hence, using the Z distribution table :
P(Z > 0.4518) = 1 - P(Z < 0.4518)
P(Z > 0.4518) = 1 - 0.67429
P(Z > 0.4518) = 0.32571
Answer:
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.
where <em>a</em> and<em> b</em> are the legs and <em>c</em> is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:
Substitute these values into the formula.
Solve the exponents.
- (9 cm)²= 9 cm*9 cm=81 cm²
- (11 cm)²= 11 cm*11 cm= 121 cm²
Add the values on the left side.
Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.
We are told to round to the nearest tenth.
The 1 in the hundredth place tells us to leave the 2 in the tenth place.
The hypotenuse is equal to <u>14.2 centimeters.</u>
Question thirteen is a right angle (because if you plot the pints, it obviously looks like a fit angle)
Question fourteen is c ( because when you plot all the points, the first two options don't make sense if side pq is congruent to qr, then we are left with options c and d. Option d forms a right triangle (and sides pq and qr can't be congruent) . Whereas in option c, it is mathematically possible for pq and qr to be congruent to one another)
Basically, all you have to do is plot the points for both questions and the answer will become obvious)
Answer:
0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval
Mean of 0.5
7-day week, so
What is the probability that, in any seven-day week, the computer will crash less than 3 times?
In which
0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times
60 degrees
Right angles add up to 90 so 90-30=60