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lubasha [3.4K]
3 years ago
6

Chris built a rectangular snow fort with a perimeter of 24 feet. The length of the fort was 8 feet less than 3 time the width. W

hat was the length (x) and width (y) of the fort? * Your answer

Mathematics
1 answer:
ipn [44]3 years ago
8 0
-Make variables
-Write equation given using variables
-Plugin the equation for L with 2w to solve for W.
-plugin W value to solve for L

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The conversion rate for 135 Mexican pesos is 7 1/2 American dollars enter the amount of pesos you would get with 50 American dol
svet-max [94.6K]

Answer:

900

Step-by-step explanation:

135/7.5= x/50

cross multiply

7.5x=6750

x=900

4 0
2 years ago
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Find the slope between each pair of points. (-7, 8) and (-7, 5)
Y_Kistochka [10]
5-8= -3
-7--7=0
m=0
The slope of the two points is 0
6 0
3 years ago
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In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were o
ad-work [718]

The question is incomplete. Here is the complete qeustion.

In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained: 0.10 0.13 0.16 0.15 0.14 0.008 0.15

(a) Construct a 99% confidence interval for the mean nitrogen-oxide emissions of all cars.

(b) If the EPA requires that nitrogen-oxide emissions be less than 0.165 g/mi, based on the 99% confidence interval in (a), can we safely conclude that this requirement is being met?

Answer: (a) 0.089 ≤ μ ≤ 0.171

(b) No

Step-by-step explanation:

(a) To determine the confidence interval, first calculate the mean (X) and standard deviation (s) of the sample

X = \frac{0.1+0.13+0.16+0.15+0.14+0.08+0.15}{7}

X = 0.13

s = \sqrt{\frac{(0.1-0.13)^{2} + (0.13 - 0.13)^{2} + ... + (0.15 - 0.13)^{2}}{7-1} }

s = 0.029

The degrees of freedom is

N - 1 = 7 - 1 = 6

And since the confidence is of 99%:

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

The t-test statistics for t_{6,0.005} is 3.707

(Value found in the t-distribution table)

Now, calculate Error:

E = t_{6,0.005} . \frac{s}{\sqrt{N} }

E = 3.707. \frac{0.029}{\sqrt{7} }

E = 0.041

The interval will be:  

0.13 - 0.041 ≤ μ ≤ 0.13+0.041

0.089 ≤ μ ≤ 0.171

(b) No, because according to the interval, the nitrode-oxide emissions range from 0.089 to 0.171, which is greater than required by EPA.

7 0
3 years ago
Write each product in standard form. (y+ 9)(y+ 9)
Alla [95]

Answer:

y² + 18y + 81

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Expand by FOIL (First Outside Inside Last)

Step-by-step explanation:

<u>Step 1: Define</u>

(y + 9)(y + 9)

<u>Step 2: Expand</u>

  1. FOIL:                                        y² + 9y + 9y + 81
  2. Combine like terms:               y² + 18y + 81
3 0
2 years ago
How to find area of a square room if it's length is 5cm​
alina1380 [7]

Answer:

150 cm²

Step-by-step explanation:

Since the room is square, assuming that it is a cube, the area will be 6s², where s is the side length.

Given a side length of 5cm, the area is

6(5)² = 6cm × 25cm = 150cm²

6 0
3 years ago
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