Answer:
Step-by-step explanation:
<u>Alternate interior angles measure same as per their property:</u>
- m∠3 = m∠6
- 3x - 5 = 5x - 25
- 5x - 3x = 25 - 5
- 2x = 20
- x = 10
Answer:
1. Total spent on transportation $222.2.
2. $ 192.5
3. She spends $30 over the guideline.
Step-by-step explanation:
As per the image attached:
Total monthly spent on transportation = Total monthly car payment + Spent on gas fuel
Total monthly spent on transportation = 120 + 37.9 + 28.4 + 35.9 = $222.2
So, Answer 1. Abby's total spent on transportation = $222.2
Calculating the percentage:
Calculating 11% as per the guideline:
Answer 2. As per the guideline, she should spend $192.5 on transportation.
Difference between spending and guideline = $222.2 - $192.5 = $29.7
Answer 3. She spends $29.7 over the guideline.
Answer:
You can multiply the brackets to make sure you get 4x² + 4x + 1. Since the numbers in the brackets are the same, we can just use one of them and let it equal to 0. Then solve it. ∴ The answer is x = -1/2.
Step-by-step explanation:
4x2+4x+1=(2x+1)2 or (2x+1)(2x+1)
Answer: P(9950 ≤ x ≤ 10250) = 0.54
Step-by-step explanation:
We would assume a normal distribution for the breaking strength of a rivet. We would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ/√n
Where
n = number of samples
x = Breaking strengths of rivet.
µ = mean breaking strength
σ = standard deviation
From the information given,
µ = 10,050 psi
σ = 499 psi
n = 40
The probability that the sample mean breaking strength for a random sample of 40 rivets is between 9,950 and 10,250 is expressed as
P(9950 ≤ x ≤ 10250)
For x = 9950,
z = (9950 - 10050)/499/√40 = - 0.13
Looking at the normal distribution table, the probability corresponding to the z score is 0.45
For x = 10250,
z = (10250 - 10050)/499/√40 = 2.54
Looking at the normal distribution table, the probability corresponding to the z score is 0.99
Therefore,
P(9950 ≤ x ≤ 10250) = 0.99 - 0.45 = 0.54
