Answer:
Danny will watch all of them on the same day again on August 31
Step-by-step explanation:
Here, we have a word problem.
The shows and frequency of watching are;
Show A Every 2 days
Show B Every 3rd day
Show C Every 5th day
Show D Every 10th day
Danny watched all four shows on August 1, therefore, the day he will watch all four shows can be found by finding the Lowest Common Multiple, LCM of the frequency of his watching each of the shows. That is, the LCM of 2, 3, 5 and 10
Therefore we have, since 10 is the highest frequency and 3 is not a factor of 10, then the LCM that applies to 3 and 10 is 3×10 = 30.
Since the other frequencies are also a factor of 30, then the LCM of 2, 3, 5, and 10 is 30
Therefore, Danny will watch all four shows again on the same day again in 30 days after August 1. That is August (1 + 30) = August 31.
Hello :
<span>Cos θ = -3/5
sin</span>θ = - 4/5
because : Cos² θ +sin²θ = (-3/5)²+(-4/5)2 =9/25+16/25 = 25/25 = 1
and θ is in QIII.where : sinθ <span>< 0</span>
Answer:
(a) S = {0, 1, 2, ..., 10}
(b) 0.256
Step-by-step explanation:
It is provided that, 74% of households said that they have never purchased organic fruits or vegetables.
(a)
<em>X</em> = the number of households in a random sample of 10 who have never purchased organic fruits or vegetables.
<em>X</em> follows a binomial distribution.
The sample space of <em>X</em> is:
S = {0, 1, 2, ..., 10}
(b)
Compute the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables as follows:


Thus, the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is 0.256.
Answer:
The equation is true when x = <u>4</u> because <u>6(4) = 24 </u>that is x=4 satisfies the given equation.
Step-by-step explanation:
Given: 
To find: x
Solution:
A equation is a statement that defines the equality of two expressions or numbers.

Divides both sides by 6

Therefore,
The equation is true when x = <u>4</u> because <u>6(4) = 24 </u>that is x=4 satisfies the given equation.
Quadrant of after 360 would the first quadrant.
As the if the cycle of all four quadrant is completed than it becomes zero(0) .
eg.cos 405
cos(360+45)
cos(0+45)
cos45=1/2^1/2