You can do a quick multiplication to figure this out:
64 * ⅜ = 24
Answer:
Grace
Step-by-step explanation:
Grace ran 11 since 8 + 3= 11. Tam ran 4 laps and walked 6 and 4 + 6 = 10. Grace did 11 laps while Tam did 10 laps.
Answer:
Before and after current era
Answer:
Conclusion is that there is sufficient evidence to reject the claim that the proportion of people who favor the use of oxygenated fuels year around to reduce air pollution is 60%.
Step-by-step explanation:
We are given;
Population proportion; p = 60% = 0.6
Sample mean: x¯ = 315
Sample size; n = 500
Significance level = 0.09
Defining the hypothesis, we have;
Null Hypothesis; H0: p = 0.6
Alternative hypothesis; Ha: p > 0.6
z-score formula in this case is;
z = (x¯ - np)/√(np(1 - p))
Plugging in the relevant values;
z = (315 - (500 × 0.6))/√(500 × 0.6(1 - 0.6))
z = 1.72
From z-distribution table, the p-value at z = 1.72 is;
1 - P(Z ≤ z-score)
This gives:
p-value = 1 - 0.95728 = 0.04272
Thus p-value is less than the significance level of 0.09, thus we will reject the null hypothesis and conclude that there is sufficient evidence to reject the claim that the proportion of people who favor the use of oxygenated fuels year around to reduce air pollution is 60%.
Answer:
1) 7m
2) 13
3) 4x^2y
4) 6s^3t^4
Step-by-step explanation:
gcf means the the greatest factor that works for both terms
1) 21m^3 and 28m
let's first find the gcf for the coefficient
21 and 28, the gcf is 7. (hopefully thats easy to explain)
the gcf for the variables is the same mindset as the numbers
m^3 and m, both can be factored by m
so the gcf is 7 * m which is 7m
2)
13x and 26
let's first find the gcf for the coefficient
13 and 26, gcf is 13
there's only one variable, x, so there's not gcf for that
so the gcf is just 13
3)
8x^2y and -12x^3y^2
let's first find the gcf for the coefficient
8 and -12, the gcf is 4 (you can also say -4)
for the variables , same mindset
x^2y and x^3y^2
the gcf for x is x^2, and for y it is just y
so 4 * x^2 * y = 4x^2y
by understanding 3) hopefully you can understand 4)
pls comment for any questions