The answer is 49400000 or 4.94 x 10^7
Answer:
x = 1/2, 7/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Completing the Square: (b/2)²
- Factoring
Step-by-step explanation:
<u>Step 1: Define</u>
4x² - 16x + 5 = -2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Isolate <em>x </em>terms: 4x² - 16x = -7
- Factor GCF: 4(x² - 4x) = -7
- Isolate <em>x </em>terms: x² - 4x = -7/4
- Complete the Square: x² - 4x + 4 = -7/4 + 4
- Simplify: (x - 2)² = 9/4
- Square root both sides: x - 2 = ±3/2
- Isolate <em>x</em>: x = 2 ± 3/2
- Evaluate: x = 1/2, 7/2
Answer:
1341.2<x<1458.8
Step-by-step explanation:
Given
sample size n = 64
standard deviation = 240
average mean = 1400
z score at 95% CI = 1.96
Required
confidence interval
Confidence interval = xbar ± (z*s/√n)
CI = 1400 ± (1.96*240/√64)
CI = 1400 ± (1.96*240/8)
CI = 1400 ± (1.96*30)
CI = 1400 ± 58.8
CI = (1400-58.8, 1400+58.8)
CI = (1341.2, 1458.8)
Hence the confidence interval for the population is 1341.2<x<1458.8
Answer:
the answer is c
Step-by-step explanation:
7. Answer= $26.28
So we know that <u>5 cans</u> = $<u>10.95</u>
Then you can find what 1 can equals using this equation:
Price / can = price per can 10.95/5=2.19
Now you multiply that by twelve ( think of it like 1 can=$2.19 )
2.19*12=26.28
8. Answer= 119/22
So we know that <u>11 in. length</u> = <u>8.5 in. width</u> and that the <u>length</u> of the new paper is 7 in.
Now you divide 11/7 (because 11 divided by 7 is 11/7) by 8.5 because your scaling down. (Or you can multiply it by 7/11
8.5*7/11= 119/22
9. Answer = 7.5
In the triangle you have sides with lengths of 8, 8, and 5.
Now you divide 12 by 8 and then multiply that quotient by 5.
12/8 * 5 = 7.5
Hope this helps :)