6x + 9 < 3 3x - 8 > 13
6x < 3 - 9 3x > 13 + 8
6x < - 6 3x > 21
x < -6/6 x> 21/3
x < -1 x > 7
solution is : x < -1 or x > 7
====================
4x + 5 > 25
4x > 25 - 5
4x > 20
x > 20/4
x > 5
===================
5 - 2x > = 27
-2x > = 27 - 5
-2x > = 22
x < = -22/2
x < = -11
==================
-2 < = x - 7 < = 11
-2 + 7 < = x - 7 + 7 < = 11 + 7
5 < = x < = 18
Answer:
Step-by-step explanation:
Given that an investigator measuring various characteristics of a large group of athletes found that the correlation between the weight of an athlete and the amount of weight that athlete could lift was 0.60.
Correlation coefficient is the measure of association and a positive value implies that increase in one value causes increase in the other.
Hence out of the given options correct ones are
c) The more an athlete weights, on the average the more he weights.
d) The more an athlete can lift, on the average the more he weighs.
e) 60% of athlete's lifting ability can be attributed to his weight alone.
Answer:
The probability that none will have high blood pressure is 0.0281
Step-by-step explanation:
The correct question is as follows;
Twenty percent of Americans ages 25 to 74 have high blood pressure. If 16 randomly selected Americans ages 25 to 74 are selected, find each probablility. a. None will have high blood pressure
This is a binomial problem. We shall solve in that line
The probability of success is 20% or 0.2 [(Americans ages 25 to 74 have high blood pressure)] p = 0.2
The probability of failure q is thus 1-p = 1-0.2 = 0.8
The probability of none is thus;
P(X= 0) = 16C0 p^0 q^16
= 16C0 * 0.2^0 * 0.8^16 = 0.0281
We can solve this problem by calculating the individual rate of working and equate it to their total rate of working.
If Dave can complete a sales route in 4 hours, then his working rate is
Also, if James can do it in 5 hours, then his working rate is
Let
be the hours that both will use to complete the sales route,
Then rate at which both completes this task is
Meaning if we add their individual rates we should get
That is;
The LCM is
So let us multiply through with the LCM.
We simplify to get,
Dividing through by 9 gives;
Therefore the two will complete sales route in
hours.
Food = 1/4
gasoline = 3/5
Total = 1/4 + 3/5 = 17/20
17/20 = 272
1/20 = 272 ÷ 17 = 16
20/20 = 16 x 20 = $320