A is not always true. Compare -10 and 3. Minus 10 is smaller than 3 even though -10 has a larger absolute value. Remember, integers include - minus numbers.
B is another way of saying what I just said for A
C is not always true. Use -3 and -10 The absolute values are 3 and 10. But -3 is larger than - 10. This is kind of sneaky. You have to try this for yourself a couple of times.
D. No! Another counterexample is 3 and 10. The absolute value of 3 and 10 is 3 and 10. These two are positive, and the example does not make D true. All you need is one exception to make something false.
Answer: 30 pairs of shorts
21x+420=35x
subtract 21x from both sides of the equation.
420=14x
get rid of the x by division
420/14
you get 30 =x
0.6222... is a recurring decimal at the digit '2'
let x = 0.62222....
multiply x by 10 ⇒ 10x = 6.2222.... [we multiply by 10 to leave the recurring digits after decimal point]
multiply x by 100 ⇒ 100x = 62.2222... [we multiply by 100 so that we can again leave the recurring digit after decimal point]
subtract 10x from 100x
100x - 10x = 62.2222... - 6.2222...
90x = 56
x = 56/90
x = 28/45
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There are 28 students would vote for Brianna
Answer:
Step-by-step explanation:
a) The null hypothesis states that
The production line operation fills cartons with laundry detergent to a mean weight of 32 ounces.
H0 : µ = 32
The alternative hypothesis states that
The production line operation overfills or under fills cartons with the laundry detergent to a mean weight of above or below 32 ounces.
Ha : µ ≠ 32
b) when the calculations are done and the p value is determined, then it would be compared with the level of significance
When the significance level is lesser than the p value, we do not reject H0 because there is no sufficient evidence to conclude that the production line operation overfills or under fills cartons.
c) When the significance level is greater than the p value, we would reject H0 because there is sufficient evidence to conclude that the production line operation overfills or under fills cartons.
Answer:
x² - 2x + 3
Step-by-step explanation:
y = (x - 1)² + 2
= (x - 1)² + 2 [a - b]² = <em><u>a²- 2ab + b²</u></em>
= x²- 2x + 1 + 2
= x² - 2x + 3
Thus, the standard form of the equation is x² - 2x + 3
