Step-by-step explanation:
At first we can find AC
then we can find m<A and m< C
or, m<C and then m< A
m<B is already given in the question so there is no need of finding it.
Given that the situation has been modeled by the formula:
B=1000e^(kt)
given that B=8520 after t=15 min
then the value of k will be solved as follows:
plugging in the values in the formula and solving for k
8520=1000e^(15k)
8.52=e^(15k)
solving for k
15k=ln(8.52)
hence
k=ln(8.52)/15
k=0.1428
k=0.143
Answer:
(3x-4)(2x+5)
Step-by-step explanation:
6x^2 + 7x + 24
= 6x^2 + (15-8)x + 24
= 6x^2 + 15x - 8x + 24
= 3x( 2x+5 ) - 4( 2x+5 )
= (3x-4)(2x+5)
Answer:
There is no enough evidence to reject the claim using a level of significance of 5%
Step-by-step explanation:
Let p be the true proportion of homeowners in Omaha who own a lawnmower. We want to test
vs
(two-tailed alternative).
We have a large sample of size n = 500 and a point estimate for p is
. The test statistic is given by
where
is the standard error of
when
is true. The observed value is
= 1.4064 which comes from a standard normal distribution. Because we want to use a level of significance of 5%, our rejection region is RR={z | z < -1.96 or z > 1.96} where -1.96 and 1.96 are the 2.5th and 97.5th quantiles respectively. Because 1.4064 does not belong to RR, we fail to reject the null hypothesis.
Answer:
57.39
[tex]440 \: ( 1 + \frac{5t}{46 + \: {t}^{2} } ) \\ 440 \: ( \frac{6t}{46 {t}^{2} } ) \: ( \: multiply \: 440 \times 6t) \\ \frac{2640}{46} \\ = 57.39 or 57.30