By the Pythagorean theorem, the missing side is -sqrt7. The definition of sin is side opposite over hypotenuse, so go into Q2 and make an angle and label the side opposite the angle with a 3 and the hypotenuse a 4. The other leg is -sqrt7 cuz x is negative in Q2. The cosine of an angle is the side adjacent over the hypotenuse, so the cos then is -sqrt7/4
Answer:
D. <3 and <7
Step-by-step explanation:
Corresponding angles are angles that are on matching sides and that are cut by a transversal.
Hope this helps!
Answer:
93/100
Step-by-step explanation:
Answer:
The mean and the standard deviation of the number of students with laptops are 1.11 and 0.836 respectively.
Step-by-step explanation:
Let <em>X</em> = number of students who have laptops.
The probability of a student having a laptop is, P (X) = <em>p</em> = 0.37.
A random sample of <em>n</em> = 30 students is selected.
The event of a student having a laptop is independent of the other students.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The mean and standard deviation of a binomial random variable <em>X</em> are:
Compute the mean of the random variable <em>X</em> as follows:
The mean of the random variable <em>X</em> is 1.11.
Compute the standard deviation of the random variable <em>X</em> as follows:
The standard deviation of the random variable <em>X</em> is 0.836.
First, we must figure out how much weight the pig gained and then add that number to the pig’s initial weight.
To figure out how much weight the pig gained, we must find 30% of 120.
Because 30% = 0.3, 30% of 120 = 0.3 * 120 ( the word of indicates multiplication in mathematics).
0.3 * 120 = 36
Therefore, the pig gained 36 pounds.
To find the pig’s new weight, we must add 36 pounds to the pig’s original 120 pound weight.
36 + 120 = 156
Therefore, the new weight of Shane’s pig is 156 pounds.
Hope this helps!
