Let this number be x. The next number is (x+1). And their sum is 57. Then, we have to solve this equation x+x+1=57
Emily's number was 28
Answer:
2/3 2:3 2 to 3
Step-by-step explanation:
Answer:
The factors of x^3+2x^2+5x+10 are (x^2+5)(x+2)
Step-by-step explanation:
x^3+2x^2+5x+10
Group the expression by two:
=(x^3+2x^2)+(5x+10)
Factor out GCF in each group.
=x^2(x+2)+5(x+2)
Note:(The binomials in parentheses should be the same, if not the same... there is an error in the factoring or the expression can not be factored.)
Now factoring out the GCF which basically has you rewrite what is in parentheses and place other terms left together:
=(x^2+5)(x+2)
Thus the factors of x^3+2x^2+5x+10 are (x^2+5)(x+2)....
Answer:
47.5%
Step-by-step explanation:
Find the z-scores:
z = (x − μ) / σ
z₁ = (300 − 400) / 50 = -2
z₂ = (400 − 400) / 50 = 0
300 is 2 standard deviations below the mean, and 400 is 0 standard deviations from the mean.
From the empirical rule, 95% of a normal distribution is between -2 and +2 standard deviations. Since normal distributions are symmetrical, that means half of that is between -2 and 0 standard deviations.
95% / 2 = 47.5%
Answer:
Given:
perpendicular [p]=9cm
base[b]=15cm
length[l]=4cm
we have
the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l
=½×9×15×4=270cm³
270cm³ is a required volume.
