Rocket will be in the air for 2 seconds.
The easiest way to do it (for me) is to find 1% of the regular price. I think we can round the prices to $70,00 and $40,00 to show nice percentage.
70 / 100 = 0,7
So 1% is 0,7. Now we can divide $40,00 by 0,7 to calculate how many percent it is:
40 / 0,7 = 57 (after rounding it to the nearest whole number)
So the discount was 100 - 57 = 43 percent.
Doublecheck (optional):
70 * 57% =
= 70 * 57/100 =
= 7 * 57/10 =
= 7 * 5 7,10 =
= 7 * 5,7 =
= 39,9 (the price after the discount)
70 * 43% =
= 70 * 43/100 =
= 7 * 43/10 =
= 7 * 4 3/10 =
= 7 * 4,3 =
= 30,1 (the value of the discount)
The difference of 0,1 is because of the rounding, but it's correct.
Answer:
The p-value for the test is 0.0459.
Explanation:
The question involves a chi-squared test whose p-value is to be determined.
H₀: σ² ≤ 0.027 (null hypothesis)
H₁: σ² > 0.027 (alternative hypothesis)
Standard deviation = s = 0.2
Hence, s² = (0.2)² = 0.04
Sample size = n = 30
Degree of freedom = n - 1 = 30 - 1 = 29
Significance level = 0.05
Test statistic: X² = (n - 1)s² / σ²
= (30 - 1) x 0.04 / 0.027
= 42.9629
The p-value can now be determined using the Excel function:
CHISQ.DIST.RT(42.9629,29) = 0.0459
Hence, the p-value for the test is 0.0459.
Answer:
28 - m = 3
28 - 3 = m
25 = m
Hope this helps :) mark me brainliest if you want to
Answer:
(6, - 4 )
Step-by-step explanation:
Given the 2 equations
- 
y = 3 → (1)
x - 
= 12 → (2)
Multiply (1) by 8 and (2) by 6 to clear the fractions
2x - 3y = 24 → (3)
10x - 3y = 72 → (4)
Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides
- 3y = 24 - 2x
Substitute 3y = 24 - 2x into (4)
10x + 24 - 2x = 72, that is
8x + 24 = 72 ( subtract 24 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Substitute x = 6 in either (3) or (4) and solve for y
Substituting in (3)
2(6) - 3y = 24
12 - 3y = 24 ( subtract 12 from both sides )
- 3y = 12 ( divide both sides by - 3 )
y = - 4
Solution is (6, - 4 )
