Answer:
5.2 in
Step-by-step explanation:
An equilateral triangle is a triangle with 3 equal sides
Divide the equilateral triangle into two congruent triangles and use Pythagoras theorem to find the height
The Pythagoras theorem : a² + b² = c²
where a = height
b = base = 6 in / 2 = 3 in
c = hypotenuse = 6 in
6² = 3² + h²
h = 36 - 9 = 27
√27 = 5.196 inch
to the nearest tenth = 5.2 in
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Answer:
Mean = 2
Standard deviation = 1.356
Step-by-step explanation:
We are given;
Probability of taxpayers that make mistakes when filling out forms: p = 0.08
Sample size; n = 25
In binomial distribution;
Means is;
μ = np
Thus;
μ = 25 × 0.08
μ = 2
Formula for standard deviation here is;
σ = √(np(1 - p))
σ = √(25 × 0.08(1 - 0.08))
σ = 1.356
Answer:
D
Step-by-step explanation:
When you have two opposite numbers on a numberline, that is, a digit that has a negative value and the same digit having a positive value, when you add them together, we would have 0.
i.e. -a + b = 0
In the above options given, the numberline that shows this particular case is the numberline in option D.
In option D numberline, the sum of -1 and +1 equals zero.
Answer:
=8p−7.25
Step-by-step explanation:
=(5)(p)+(5)(−1)+(3)(p)+(3)(−0.75)
=5p+−5+3p+−2.25
=5p+−5+3p+−2.25
=(5p+3p)+(−5+−2.25)
=8p+−7.25
Answer:
3,781
Step-by-step explanation:
To solve this problem, we will find the area of the whole circle and use that to find teh area of the 60º section.
First, recognize the formula for the area of a circle:
A = 3.14
In this scenario, the radius (<em>r</em>) is 85 feet:
A = 3.14(85
A circle is 360º and we only require the area of 60º. 360º / 60º = 6 so we will divide by 6:
A = 
Finally, we will simplify and round:
A = 3,781
