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expeople1 [14]
2 years ago
5

A sixth-grade science club needs $180 to pay for the tickets to a science museum. All tickets cost the same amount. What could "

180 / 15" (180 divided by 15) mean in this context? Describe two interpretations of the expression. Then, find the quotient (answer) and explain what it means in each interpretation.
Mathematics
1 answer:
ollegr [7]2 years ago
6 0

Answer:

12

Step-by-step explanation:

180 ÷ 15 = 12

15 can go into 180 , 12 times

15 x 12 = 180

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I don’t know if that’s what you wanted but I hope I helped ;D (sorry for my bad english)

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Estimate 154 divide 7<br>​
Anuta_ua [19.1K]
154 divided by 7 is 22
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2 years ago
Read 2 more answers
The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth
Art [367]

Answer:

a) N_0=250\; k=0.15

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies t=0. And N(0)=N_0. The process is:

N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250

b) After 2 days means t=48. So, we just replace and operate:

N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}

c) N(t_1)=4000; \;t_1=?

N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\  \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h

d) t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)

N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h

6 0
3 years ago
P (a) =2/5 p(b)=1/4 ( a and b=1/25I did two events independent or dependent please help
juin [17]

we have

p (a) =2/5 p(b)=1/4 ( a and b=1/25

Remember that

we know that for two independent events A,B.

⇒ P(A∩B)=P(A)*P(B)

we have

P(A)=2/5 and P(B)=1/4

so

P(A∩B)=(2/5)*(1/4)=2/20=1/10

that means

<h2>events are dependent</h2>
8 0
11 months ago
Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) Without doing an
stepladder [879]

Answer:

Step-by-step explanation:

Given are 3 data sets with values as:

(i) 8 9 10 11 12   ... Mean =10

(ii) 7 9 10 11 13    ... Mean =10

(iii) 7 8 10 12 13   ... Mean =10

We see that  data set shows mean deviations as

(i) -2 -1 0 1 2  

(ii) -3 -1 0 1 3    

(iii) -3 -2 0 2 3  

Since variance is the square of std deviation, we find that std deviation is larger when variance is larger.

Variance is the sum of squares of (x-mean).  Whenever x-mean increases variance increases and also std deviation.

Hence we find that without calculations also (i) has least std dev followed by (ii) and then (iii)

(i) (ii) (iii) is the order.

b) Between (i) and (ii) we find that 3 entries are the same and 2 entries differ thus increasing square by 9-4 twice.  But between (ii) and (iii) we find that

increase in square value would be 4-1 twice. Obviously the latter is less.

6 0
3 years ago
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