Answer:
x=7
Step-by-step explanation:
AC=3x+3 AB=-1+2x and BC=11
AC = AB + BC
ALL THE STEPS:
3 X + 3 = - 1 + 2 X + 11
3 X + 3 = 2 X + 10
3 X + ( - 2 X ) + 3 = 2 X + ( - 2 X ) + 10
X + 3 = 10
X + 3 + ( - 3 ) = 10 + ( - 3 )
X = 7
Answer:
Step-by-step explanation:
- sqrt(39) and square root 47
are the limits. The - square root of 39 is smaller than - 6. So the integer to use here is - 6
sqrt (47) = 6.686. Here the square root is larger than the closest integer.
The integer to use is 6
- 6 + 6 = 0
Answer:
P ( -1 < Z < 1 ) = 68%
Step-by-step explanation:
Given:-
- The given parameters for standardized test scores that follows normal distribution have mean (u) and standard deviation (s.d) :
u = 67.2
s.d = 4.6
- The random variable (X) that denotes standardized test scores following normal distribution:
X~ N ( 67.2 , 4.6^2 )
Find:-
What percent of the data fell between 62.6 and 71.8?
Solution:-
- We will first compute the Z-value for the given points 62.6 and 71.8:
P ( 62.6 < X < 71.8 )
P ( (62.6 - 67.2) / 4.6 < Z < (71.8 - 67.2) / 4.6 )
P ( -1 < Z < 1 )
- Using the The Empirical Rule or 68-95-99.7%. We need to find the percent of data that lies within 1 standard about mean value:
P ( -1 < Z < 1 ) = 68%
P ( -2 < Z < 2 ) = 95%
P ( -3 < Z < 3 ) = 99.7%
Answer:
1,004
Step-by-step explanation:
