Answer:
3 (x + 5) (x - 4)
Step-by-step explanation:
Factor the following:
3 x^2 + 3 x - 60
Factor 3 out of 3 x^2 + 3 x - 60:
3 (x^2 + x - 20)
The factors of -20 that sum to are 5 and -4. So, x^2 + x - 20 = (x + 5) (x - 4):
Answer: 3 (x + 5) (x - 4)
5 2/3 + 1 + 1/3
2/3 +1/3 =1
5+1+1
7
Hope this helps :)
Answer:
600040
Step-by-step explanation:
Given the population of people on an island modeled by the equation P(t)=600040+60e−0.03t for t≥0 where P(t) is the number of people on the island after years. To get limt→∞P(t), we will substitute infinity into the equation as shown;
limt→∞ 600040+60e−0.03t
= 600040+60e−0.03(∞)
= 600040+60e−∞
= 600040+60(1/e∞)
Note that 1/e∞ = 1/∞ = 0
Hence the equation becomes;
= 600040+60(0)
= 600040
Hence limt→∞P(t) is 600040
Answer:
There is no sufficient evidence to reject the company's claim at the significance level of 0.05
Step-by-step explanation:
Let be the true mean weight per apple the company ship. We want to test the next hypothesis
vs (two-tailed test).
Because we have a large sample of size n = 49 apples randomly selected from a shipment, the test statistic is given by
which is normally distributed. The observed value is
. The rejection region for is given by RR = {z| z < -1.96 or z > 1.96} where the area below -1.96 and under the standard normal density is 0.025; and the area above 1.96 and under the standard normal density is 0.025 as well. Because the observed value 1.4583 does not fall inside the rejection region RR, we fail to reject the null hypothesis.