The answer would be 1/100 or 0.01
Answer: x=(7√6)/2
Step-by-step explanation:
To find x, we would have to find the hypotenuse of the 45-45-90 triangle. First, we would have to find the hypotenuse by using the 30-60-90 triangle on top to find it.
For a 30-60-90 triangle, the hypotenuse is 2x in length. the x is the same in all sides. All you would have to do is to plug it in. The leg opposite of 60° is x√3 in length. the leg opposite of 30° is x in length.
Since we know that 7 is opposite of the 30° angle, we know that x is 7. Across fron 60° is the hypotenuse of the 45-45-90 triangle. That leg is x√3. We plug in x=7 and get 7√3.
The hypotenuse of the 45-45-90 triangle is x√2 and the legs are both x. We can set 7√3 equal to x√2 to find x of the missing side.
7√3=x√2 [divide both sides by √2]
x=(7√6)/2
Now, we know x=(7√6)/2.
Answer:
P ( 5 < X < 10 ) = 1
Step-by-step explanation:
Given:-
- Sample size n = 49
- The sample mean u = 8.0 mins
- The sample standard deviation s = 1.3 mins
Find:-
Find the probability that the average time waiting in line for these customers is between 5 and 10 minutes.
Solution:-
- We will assume that the random variable follows a normal distribution with, then its given that the sample also exhibits normality. The population distribution can be expressed as:
X ~ N ( u , s /√n )
Where
s /√n = 1.3 / √49 = 0.2143
- The required probability is P ( 5 < X < 10 ) minutes. The standardized values are:
P ( 5 < X < 10 ) = P ( (5 - 8) / 0.2143 < Z < (10-8) / 0.2143 )
= P ( -14.93 < Z < 8.4 )
- Using standard Z-table we have:
P ( 5 < X < 10 ) = P ( -14.93 < Z < 8.4 ) = 1
Answer:
B
Step-by-step explanation:
Let's arrange the data set in increasing order.
We have 19, 27, 27, 33, 45, 53. The median is (27 + 33) / 2 = 30.
The new set is 19, 27, 27, 33, 45, 53, 90. The new median is 33.
Since 33 - 30 = 3 the answer is B.
Answer:
The power for the volume of the cube is '3'.
Exponent form of the volume is 
Volume of the cube is 
inch³.
Step-by-step explanation:
We are given,
A cube with side equal to 
inches.
As we know,
Volume of a cube = 
Thus, we get,
Volume of the given cube is,
Volume =
i.e. Volume = inch³
Thus, we have,
The power for the volume of the cube is '3'.
Exponent form of the volume is
Volume of the cube is inch³.
