Answer:
the value of x is 45 degree
The dimensions of the pool is 15m by10m
<h3>Area and perimeter of rectangle</h3>
A pool is rectangular in nature. If a rectangular swimming pool has an area of 150 square meters and a perimeter of 50 meters, then;
lw = 150
2(l+w) = 50
l + w = 25
where
l is the length
w is the width
From the equation 3
l = 25 - w
Substitute into 1
(25-w)w = 150
25w-w² = 150
w²-25w+150 = 0
w²-10w-15w+150 = 0
Factor
w(w-10)-15(w-10) = 0
w = 10 and 15
l = 150/10 = 15
Hence the dimensions of the pool is 15m by10m
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Answer:
The major condition that needs to be satisfied before a t-test is performed that the question satisfies easily is the use of random sampling to obtain sample data.
Step-by-step explanation:
The major conditions necessary to conduct a t-test about a mean include;
- The sample extracted from the population must be extracted using random sampling. That is, the sample must be a random sample of the population.
- The sampling distribution must be normal or approximately normal. This is achievable when the population distribution is normal or approximately normal.
- Each observation in the sample data must have an independent outcome. That is, the outcome/result of each sub-data mustn't depend on one another.
Of the three conditions that need to be satisfied before the conduction of a t-test, the first condition about using a random sampling technique is evidently satisfied.
It is stated in the question that 'A private investigator hired by a competitor takes a random sample of 47 games and tries to determine if there are more than 7 glitches per game'.
Hope this Helps!!!
Answer:
a = (p - 3b)/10
Step-by-step explanation:
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction).
p = 10a + 3b
First, subtract 3b from both sides.
p (-3b) = 10a + 3b (-3b)
p - 3b = 10a
Next, isolate the a. Divide 10 from both sides.
(p - 3b)/10 = (10a)/10
(p - 3b)/10 = a
a = (p - 3b)/10 is your answer.
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Answer:
-127
Step-by-step explanation: