The bacteria grow from <span>1,000 bacteria into 12,500 bacteria in 12 hours. The exponent function would be:
an= ao(1+r)^t
12.500= 1,000(1+r)^12
1,000(12.5)= 1,000(1+r)^12
</span>12.5= (1+r)^12
1+r= 1.23427
r= 0.23
Number of bacteria after 20hr would be:
an= ao(1+r)^t
an= 1,000(1+0.23)^20
an= 1,000(62.821 <span>)
an= </span><span>62,821 </span>
Answer:
the slope is 60
Step-by-step explanation:
the slope is the number multiplying the x value, or t in this case.
Answer:
<CFE = 28
<RPQ = 53
Step-by-step explanation:
1)
<CFE + 152 = 180
<CFE = 180 - 152
<CFE = 28
2)
Complementary means the angles add up to 90 so:
<RPQ + 37 = 90
<RPQ = 90 - 37
<RPQ = 53
Because they all go into 100 easily. for example 10*10=100 5*20=100
Answer:
a) 8*88*10⁻⁶ ( 0.00088 %)
b) 0.2137 (21.37%)
Step-by-step explanation:
if the test contains 25 questions and each questions is independent of the others, then the random variable X= answer "x" questions correctly , has a binomial probability distribution. Then
P(X=x)= n!/((n-x)!*x!)*p^x*(1-p)^(n-x)
where
n= total number of questions= 25
p= probability of getting a question right = 1/4
then
a) P(x=n) = p^n = (1/4)²⁵ = 8*88*10⁻⁶ ( 0.00088 %)
b) P(x<5)= F(5)
where F(x) is the cumulative binomial probability distribution- Then from tables
P(x<5)= F(5)= 0.2137 (21.37%)
