2(5x + 2)^2 = 48
divide both sides by 2
(5x + 2)^2 = 24
square root both sides to clear the power of two.
5x + 2 = + - sqrt24
subtract 2 from both sides
5x = -2 + - sqrt 24
divide both sides by 5
x = (-2 +-sqrt24)/5 or decimal answers .58 and -1.38
Cos ( ∠C ) = 5/13 = 0.38462
m ∠C = cos^(-1) 0.38642 = 67.4°
m ∠A = 90° - 67.4° = 22.6°
m ∠C - m ∠A = 67.4° - 22.6° = 44.8°
Answer:
B ) 44.8°
Answer: C
both a and b
Step-by-step explanation:
Both options A and B deals with the number of trials required for a single success. Thus, they are negative binomial distribution where the number of successes (r) is equal to 1.
The geometric distribution is a special case of the negative binomial distribution that deals with the number of trials required for a single success.
Complete question:
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs \$3.25$3.25dollar sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most \$30$30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 444 pancakes for \$5.50$5.50dollar sign, 5, point, 50. Let SSS represent the number of stacks of pancakes that Benjamin buys. 1) Which inequality describes this scenario?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Cost of chocolate milk = $3.25
Cost of pancakes = $5.50 (stack of 4)
Number of stacks of pancakes purchased = S
Maximum amount spent ≤ $30
Cost of chocolate + (Cost of pancake stack * number of stacks) ≤ $30
3.25 + 5.50S ≤ 30
5.50S ≤ 30 - 3.25
5.50S ≤ 26.75
S ≤ 26.75 / 5.50
S ≤ 4.86
Hence maximum number of pancake stacks he can purchase without exceeding budget = 4
Hence total number of pancakes = number of stacks * number in a stack
= 4 * 4
= 16
Answer:
First option is correct.
Step-by-step explanation:
Let amounts of money James may have after he sees Rita be x.
It is given that either James borrowed $12 from his friend Rita or she borrowed $12 from him.
So meeting Rita second time either he will $12 or he will receive $12.
The amounts of money James may have after second meeting with Rita is:
Case 1: If he pays $12.
.... (1)
Case 1: If he receives $12.
.... (2)
On combining equation (1) and (2), we get
Subtract 42.80 from both sides.
It can be written as
Therefore first option is correct.
