Answer:
Between 38.42 and 49.1.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 43.76, standard deviation of 2.67.
Between what two values will approximately 95% of the amounts be?
By the Empirical Rule, within 2 standard deviations of the mean. So
43.76 - 2*2.67 = 38.42
43.76 + 2*2.67 = 49.1
Between 38.42 and 49.1.
ANSWER

EXPLANATION
We use the sine rule for solving triangles.
This is given by the formula,

From the triangle,

We multiply both sides of the equation by 60 to get,


We solve for x to obtain,


To the nearest tenth, we round to one decimal place to get,
Answer:
7x = 35cm ; 2x = 10cm
Step-by-step explanation:
7x and 2x are the lengths
7x+2x=45
Then you take 7 + 2 = 9
so is gonna be 9x = 45
then you divide both side with 9
so is gonna be x = 5
Then you take 5 multiply 7 : 2
so 7 x 5 = 35cm
2 x 5 = 10cm
Answer:
10.2% of adults will belong to health clubs and will go to the club at least twice a week
Step-by-step explanation:
assuming that the event H=an adult belongs to a health club and the event T= he/she goes at least twice a week , then if both are independent of each other:
P(T∩H)= P(H)*P(T) ( probability of the union of independent events → multiplication rule )
replacing values
P(T∩H)= P(H)*P(T) = 0.20 * 0.51 =0.102
then 10.2% of adults will belong to health clubs and will go to the club at least twice a week
Answer:

Step-by-step explanation:
{x -4y = −21
{8y - x = 45
_________

[Plug this back into both equations above to get the x-coordinate of 3]; 
I am joyous to assist you anytime.