15x-6+x-3=39
16x-9=39
16x=39+9
16x=48
x=48/16
x=3
In geometry, there is a theorem that states: The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside a circle is equal to half the difference of the measures of the intercepted arcs
Therefore, this problem has two secants, so m∠x= 1/2(141-25)
m∠x=1/2(116)
m∠x=58
Hope this helped :)
Answer:
i accidentally posted this empty
i meant to ask if there was an image attached
sorry bout that
Step-by-step explanation:
Answer: ( 8.11 , 9.69)
the 95% confidence interval of the true mean weight
= ( 8.11 , 9.69)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.9
Standard deviation r = 0.9
Number of samples n = 5
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
8.9+/-1.96(0.9/√5)
8.9+/-1.96(0.4025)
8.9+/- 0.79
= ( 8.11 , 9.69)
Therefore at 95% confidence interval (a,b) = ( 8.11 , 9.69)
Let us assume the length of the first shelf = x
Then
The length of the second shelf = 2x + 18
Length of the third shelf = x -12
Length of the fourth shelf = x + 4
The total length of the board = 2.5 meters.
= ( 2.5 * 100) cm
= 250 cm
Then we can write the equation as
x + 2x + 18 + x - 12 + x + 4 = 250
5x + 10 = 250
After dividing both sides of the equation by 5 we get
x + 2 = 50
x = 50 - 2
= 48
Then
The length of the second shelf = 2x + 18
= 2(48) + 18
= 96 + 18
= 116
So the length of the second shelf is 116 cm.
