Answer:
The answer to your question is l = 12 and w = 7/2 or 3.5
Step-by-step explanation:
Data
length = l
width = w
Area = 42 yd²
Process
1) Write equations that help to solve this problem
Area = length x width = l x w
Length = 2width + 5 or l = 2w + 5
2) Substitution
42 = lw Equation l
l = 2w + 5 Equation ll
42 = (2w + 5)w Substitute equation ll in l
3.- Expand
42 = 2w² + 5w
2w² + 5w - 42 = 0
Solve the equation by factoring
-Multiply 2 by 42
2 x 42 = 84
-Find the prime factors of 84
84 = 2² 3 7
-Find two numbers that added gives +5 using the prime factors
These numbers are +12 and -7
-Substitute the values in the equation
2w² -7w + 12w - 42
-Factor by grouping
w(2w - 7) + 6(2w - 7)
(2w - 7)(w + 6)
-Find w
2w₁ - 7 = 0 w₂ + 6 = 0
w₁ = 7/2 w₂ = -6 This value is discarted because
there are no negative values
-Find l
l = 2(7/2) + 5
l = 7 + 5
l = 12
Answer:
So you make a number line right, and make from 0 to 1. You would put 8 dashes between 0 and 1. Once you finished that, you would go to the third dash, and that will be 3/8 on a number line.
Step-by-step explanation:
I hope this helps! :)
Step-by-step explanation:
x+100°=180°{being straight angle}
x=180-100
x=80°
again,
45°+x+y=180°{sum of angle of triangle}
45+80+y=180
y=180-125°
y=55°
hope it helps.
Answer:
Step-by-step explanation:
<u>Given Data:</u>
Base area = 
= 108 in.²
Volume = V = 729 in.³
<u>Required:</u>
Height = h = ?
<u>Formula:</u>
<u>Solution:</u>
For h, rearranging formula:
![\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20h%20%3D%20%5Cfrac%7BV%7D%7BA_%7BB%7D%7D%20%5C%5C%5C%5Ch%20%3D%5Cfrac%7B729%20%5C%20in.%5E3%7D%7B108%20%5C%20in.%5E2%7D%20%5C%5C%5C%5Ch%20%3D%206.75%20%5C%20in.%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Answer:
It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively.
Step-by-step explanation:
Given that:
sample size n = 1600
sample mean 
= 20000
standard deviation = 5000
The objective is to choose from the given option about what most closely resembles the relevant box model.
The correct answer is:
It has millions of tickets. On each ticket is written a number a dollar amount. The exact average and SD are unknown but are estimated from the sample to be $20,000 and $5,000 respectively.
However, if draws are made without replacement, the best estimate of the average amount for the bride will be $20,000
Similarly, the standard error for the sample mean = 
the standard error for the sample mean = 125
