Answer:
Step-by-step explanation: when h(x) = 10
h(x)= 6-x
h(10)= 6-10
=-4
The value of h is 11.3.
Solution:
Given data:
The triangle is a right triangle.
θ = 45° and opposite side of θ = 8
The value of sin 45° = 
Using trigonometric formula,
Do cross multiplication.
h = 11.3
The value of h is 11.3.
Answer:
Point B
Step-by-step explanation:
Lines given:
- y= 2/5x - 1/2
- y= -1/3x +2/3
x coordinate of intersection of given lines is:
- 2/5x - 1/2= -1/3x+2/3
- 2/5x+1/3x= 2/3 +1/2
- 6/15x+5/15x= 4/6+3/6
- 11/15x=7/6
- x= 7*15/11*6
- x= 35/22
For this value of x, the value of y is:
- y= 2/5*35/22 - 1/2
- y=14/22- 1/2
- y= 3/22
As per graph point (35/22, 3/22) is point B
Answer:
E
Step-by-step explanation:
Solution:-
- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.
- The survey team took a sample of size n = 24 students and obtained the following results:
Sample mean ( x^ ) = 12.3 mins
Sample standard deviation ( s ) = 3.2 mins
- The sample taken was random and independent. We can assume normality of the sample.
- First we compute the critical value for the statistics.
- The z-distribution is a function of two inputs as follows:
- Significance Level ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025
Compute: z-critical = z_0.025 = +/- 1.96
- The confidence interval for the population mean ( u ) of walking times is given below:
[ x^ - z-critical*s / √n , x^ + z-critical*s / √n ]
Answer: [ 12.3 - 1.96*3.2 / √24 , 12.3 + 1.96*3.2 / √24 ]
6 balls in the bag
1/6 getting the random color
1/6=about .16
so C
