Answer:
x = 1 and y = 4
Step-by-step explanation:
m² = 7x + 7; m³= 4y and m∧4 = 112
√(m∧4) = √112
∴ m² = √112
Hence, 7x + 7 = √112
(7x + 7)² = 112
49x² + 14x + 49 = 112
49x² + 14x - 63 = 0
7x² + 2x - 9 = 0
7x² + 9x - 7x - 9 = 0
x(7x + 9) - 1(7x + 9) = 0
(x - 1)(7x + 9) = 0
x - 1 = 0
∴ x = 1
When x = 1
m²= 7 + 7 = 14
m³= 4y and m∧4 = 112
Also m∧4/m²= m² = 112/14 = 8
Hence, m° = 2; m = 2 X 2 = 4; m² = 2 x 2 x 2 = 8; m³= 2 x 2 x2 x 2 = 16
m³ = 16 = 4y
∴ y = 16/4 = 4
The probability that the student, who was chosen at random, was female and got an "A' on the test is <u>0.1645</u>.
<h3>What is probability?</h3>
Probability is the measurement of the likelihood of an event occurring.
The probability that an event occurs can be equal to or less than 1.
<h3>Data and Calculations:</h3>
Grades A B C Total
Male 18 4 17 39
Female 8 3 20 31
Total 26 7 37 70
Probability of being Female and getting an "A" = 0.1645 (31/70 x 26/70)
The probability of being female = 31/70
The probability of getting an "A" = 26/70
Thus, the probability is <u>0.1645</u>.
Learn more about probability at brainly.com/question/13604758
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Answer:
they share some features like;exponents,
mathematical signs, variables and more
Answer:
½
Step-by-step explanation:
cot(2x) = 1/(tan(2x))
csc(x) = 1/(sin(x))
cot(2x)/csc(x) = sin(x)/tan(2x)
As x --> 0 this fraction is 0/0 which is an indeterminate form.
Using L'Hopital
Derivatives:
sin(x) ---> cos(x)
tan(2x) ---> 2sec²(2x)
cos(x)/(2sec²(2x))
= ½ as x --> 0
It’s a transformation because you can move 2 to the right then up 4 to get that easily. It cannot be a dilation because you can’t multiply/divide to get those numbers.