50 meters
Explanation
you can easily solve this by using a rule of three.
Step 1
Let

x represents the length of the actual lawn
then

the proportion is the same, so
Step 2

so, the length is 50 meters
Answer:
640
Step-by-step explanation:
price ÷ 1 - percent (as decimal)
179.20÷(1-0.72) = 640
Answer:
Angle 1: Can be measures of triangle: 84
Cannot be angle measures of triangle: 49, 47
Angle 2: Can be measures of triangle: none
Cannot be angle measures of triangle: 50,89,50
Angle 3: Can be angle measures of triangle: 75, 15, 45
Cannot be angle measures of triangle: none
Angle 4: Can be angle measures of triangle: none
Cannot be angle measures of triangle: 25, 22, 133
Answer:
a) P(6) = 0.0097
b) P(More than 3) = 0.1611
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is guessed correctly, or it is not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A student takes a multiple-choice test that has 11 questions.
This means that 
Each question has five choices.
This means that 
(a) Find P (6)
This is P(X = 6).


P(6) = 0.0097
(b) Find P (More than 3).
Either P is 3 or less, or it is more than three. The sum of the probabilities of these outcomes is 1. So

We want P(X > 3). So

In which







Then

P(More than 3) = 0.1611
Answer:
29/8
Step-by-step explanation:
13/8+(3/2+7/4)
13/8+(6/4+7/4) (convert common denominators)
13/8+13/4 (add parentheses)
13/8+26/8 (convert common denominators)
29/8 (add)