Answer:
Step-by-step explanation:
GIVEN: two two-letter passwords can be formed from the letters A, B, C, D, E, F, G and H.
TO FIND: How many different two two-letter passwords can be formed if no repetition of letters is allowed.
SOLUTION:
Total number of different letters 
for two two-letter passwords 
different are required.
Number of ways of selecting different letters from 
letters
Hence there are different two-letter passwords can be formed using letters.
Answer:
Mean weight gained of two goods is not significantly different under 0.05 or 0.01 significance level, but it is under 0.10 significance level.
Step-by-step explanation:
We need to calculate the z-statistic of the differences of sample means and compare if it is significant under a significance level.
Z-score can be calculated using the formula:
z=
where
- X is the mean weight gain for in the first three months after birth for babies using the Gibbs products.
- Y is the mean weight gain for in the first three months after birth for babies using the competitor products
- s(x) is the population standard deviation of the sample for Gibbs brand
- s(y) is the population standard deviation of the sample for competitor brand
- N(x) is the sample size for babies used Gibbs product
- N(y) is the sample size for babies used competitor product.
putting the numbers in the formula:
z=
≈ -1.51
and z-table gives that P(z<-1.51) = 0.0655
To conclude if the competitor good is significantly better, we need to choose a significance level and compare it to 0.0655.
For example, the difference in mean weight gained of two goods is not significant under 0.05 or 0.01 significance since 0.0655 is bigger than these values. But we can conclude that under 0.10 significance, competitor brand mean weight gain is significantly more than the Gibbs brand mean weight gain.
I think the answer is 2/3. I’m not too sure but because there are 9 possible outcomes and 6 of them include burgers or salads, the fraction becomes 6/9. Reduce it (divide both numbers by 3) and you get 2/3.
Answer:
Step-by-step explanation:
BC = 15 cm
3x = 15
x = 15/3 = 5
AB =4x = 4*5 = 20 cm
Pythagorean theorem,
AC² = AB² + BC²
= 20² + 15 ²
= 400 + 225
= 625
AC = √625 = 25 cm
AC = 25 cm
