Answer:
Step-by-step explanation:
<u>The quadratic equation in factored form:</u>
- a(x - α)(x - β), where a- leading coefficient, α and β - roots
<u>We have:</u>
<u>Substitute them to get:</u>
<u>Converting this into standard form:</u>
- 3(x - 1)(x + 2) =
- 3(x² + x - 2) =
- 3x² + 3x - 6
Let the number of cards in each group be 2x and 3x.
So,
2x + 3x = 120
5x = 120
x = 120 / 5
x = 24
Number of cards in each group is
2x = 2 × 24 = 48
3x = 3 × 24 = 72
The fourth number is 51. 48+49+50+51= 198.
THE NUMER IS 48
On Monday the percentage was approx. 27% so they did not meet the goal
On Tuesday the percentage was approx. 28% <span>so they did not meet the goal
</span>On Wednesday the percentage was approx. 37% so they did meet the goal
On Thursday the percentage was approx. 37% so they did meet the goal
On Friday the percentage was approx. 34% so they did meet the goal
The employees met the goal 3 times within that week :)
Answer:
Part 1 , not significant
Part II, significant
Step-by-step explanation:
Given that a heterozygous white-fruited squash plant is crossed with a yellow-fruited plant, yielding 200 seeds. of these seeds, 110 produce white-fruited plants while only 90 produce yellow-fruited plants

(Two tailed chi square test)
We assume H0 to be true and find out expected
If H0 is true expected would be 100 white and 100 yellow
Chi square = 
df = 1
p value = 0.152799
Since p value > 0.05 at 5% level we accept that the colours are equally likely
2)
Here observed are 1100 and 900
Expected 1000 & 1000
df = 1
Chi square = 
p value <0.0001
These results are here statistically significant.