Answer:
11 cm
Step-by-step explanation:
Given:
Length of new pencil = 19 cm
Length of pencil after using a month = 8 cm
Question asked:
The pencil is centimeters shorter now than when it was new = ?
Solution:
Length of new pencil = 19 cm
Length of pencil after using a month = 8 cm
The pencil is centimeters shorter now than when it was new = 19 cm - 8 cm
= 11 cm
Length of pencil has been used during a month = 11 cm
The <em>correct answer</em> is:
Independent.
Explanation:
The criteria for binomial experiments are:
A fixed number of trials.;
Each trial is independent of the others.;
There are only two outcomes; and
The probability of each outcome remains constant from trial to trial.
This means the outcomes are constant and independent.
Answer:
x=56 and the exterior angle is 116
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +4) form a straight line so they make 180 degrees.
y + 2x+4 =180
Solve for y by subtracting 2x+4 from each side.
y + 2x+4 - (2x+4) =180 - (2x+4)
y = 180-2x-4
y = 176-2x
The three angles of a triangle add to 180 degrees
x+ y+ 60 = 180
x+ (176-2x)+60 = 180
Combine like terms
-x +236=180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Multiply each side by -1
-1*-x = -56*-1
x=56
The exterior angle is 2x+4. Substitute x=56 into the equation.
2(56)+4
112+4
116
80,000.
To round up to the nearest ten thousand, we would see if the next lower place value has a amount either 5 or higher or 4 or lower.
If it’s five or higher, we round up.
If it’s four or lower, we round down.
We can see that the number in the ten thousands place is 8. The number in the place value after 8 is 2.
2<5 so we round down.
The answer is 80,000.
Hope this helps!