10 ÷2 = 5 cm is the measure of each new line segment.
Answer:
t = 8.31 years
Step-by-step explanation:
This is compound growth with a growth rate of 5%, initial count of 600 and final count of 900.
The appropriate equation is P = Po (1 + 0.05)^t, where t represents the number of years required for the population to reach P:
900 = 600 (1.05)^t. Let's solve this for t:
Dividing both sides by 600, we get 900/600 = 1.05^5, or
1.5 = 1.05^t.
To solve for t, take the log of both sides:
ln 1.5 = t*ln 1.05, or
t = (ln 1.5) / (ln 1.05)
This evaluates to t = 8.31 years.
Answer:
discriminant: 4; number of real roots: 2
Step-by-step explanation:
The coefficients a, b and c of this quadratic are {-3, -2, 0}.
Thus, the discriminant b^2 - 4ac is (-2)^2 - 4(-3)(0), or 4.
Because the discriminant is positive, this quadratic has two real, unequal roots.
-3p^2 - 2p can be factored as follows: -p(3p + 2). If we set this expression equal to zero, we can find the roots: {-2/3, 0}
Answer:
.13.5%
Step-by-step explanation:
The probability that a student will receive a grade between 74 and 76 is calculated as follows:
µ+2σ=70+2(2)=70+4=74
µ+3σ=70+3(2)=70+6=76
From the above empirical rule it can be observed that 13.5% of observations fall in between 1 and 2 standard deviations above the mean.
Therefore, the probability that a student will receive a grade between 74 and 76 is 13.5%.
Thus, the correct options is A.13.5%.