Answer:
After solving the compound inequality 
we get 
Option B is correct.
Step-by-step explanation:
We are given compound inequality:
We will first solve the inequalities to find the value of x, then will draw the graph.
So, after solving the compound inequality we get
Now, the number line will be as shown in figure.
The description as given in options is:
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.
so, Option B is correct.
To answer this kinda question, we gotta tackle it year by year.
By the end of the first year, the tree would grow by 2% = 102% of its original height.
Year 1: 102% x 50 = 51 feet
Year 2: 103% x 51 = 52.02 feet
Hope I helped!! xx
Answer:
p = 0.293
Conclusion:
"There is insufficient evidence to state that the distribution of fish in Green Valley Lake is not the same as the distribution of fish in Echo Lake."
Step-by-step explanation:
------------R/trout--O/trout---bass--catfish---total
GVL - - - 105 - - - 27 - - - - - 35--- 24 - - - 191
EL - - - - 135------- 48-------- 67 - - 43 - - - 293
Total - - 240 - - - 75 - - - - - 102--- 67 - - - 484
Note : GVL = GREEN VALLEY LAKE ; EL = ECHO LAKE.
H0: The distribution of fish caught in green valley is the same as that caught in Echo lake.
H1: The distribution of fish caught in Green Valley lake is different from that caught in Echo valley lake.
Using the chi-squared test statistic calculator ;
χ2 = 3.7269
p-value = 0.2925.
p-value = 0.293
Conclusion:
"There is insufficient evidence to state that the distribution of fish in Green Valley Lake is not the same as the distribution of fish in Echo Lake."
Answer:
The distance of flag post from Y is 38.13 m
Step-by-step explanation:
Consider point Y at the intersection of both lines as shown below. Now the point X lies 34 meter from point Y in east direction.
Now flag pole at point X lies at a bearing of N18°W. That is at point X from north, flag post makes an angle of 18° towards west.
Similarly flag pole at point Y lies at a bearing of N40°E. That is at point Y from north, flag post makes an angle of 40° towards east.
Consider ∆ AXY as right angle triangle. Therefore measure of angle FXY is,
Consider ∆ BYX as right angle triangle. Therefore measure of angle FYX is,
Refer attachment 1.
From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.
∠YFX+∠FYX+∠FXY=180°
∠YFX+50°+72°=180°
∠YFX=58°
Refer attachment 2.
Now the distance FY can be calculated using sin rule as follows,
Substituting the values,
Simplifying first two terms,
Cross multiplying,
m
