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Nady [450]
3 years ago
12

It costs the school band SS dollars per sandwich that they make. The band sells each sandwich for 20\%20% more than it costs to

make so they earn a profit. The expression 73(S+0.2S)73(S+0.2S) describes how much money the school band received selling sandwiches at their last fundraiser.
Mathematics
2 answers:
vichka [17]3 years ago
7 0

Step-by-step explanation:

The number of sandwiches the the band sold- 73

The cost to make one sandwich- S

The profit the band earns from one sandwich- 0.2S

The amount of money that the band receives for selling one sandwich -S+0.2S

Annette [7]3 years ago
5 0

Money Required for making 1 Sandwich that is Cost Price of 1 Sandwich = S Dollar

Selling Price of 1 Sandwich = 20 % more than Cost Price S

                    = S + 20 % of S

                     = \frac{20S}{100}+S=\frac{120S}{100}

                     =$ 1.20 S

                      = $(S + 0.20 S)

Selling Price of 73 Sandwiches = $ 73 (S + 0.20 S)

The expression $73(S+0.2 S) →→  Selling Price of 73 Sandwiches          



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kobusy [5.1K]

Answer:

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8 0
2 years ago
Describe the sampling distribution of p(hat). Assume the size of the population is 30,000.
Naya [18.7K]

Answer:

a) \mathbf{\mu_ \hat p = 0.6}

b) \mathbf{\sigma_p =0.01732}

Step-by-step explanation:

Given that:

population mean \mu = 30,000

sample size n = 800

population proportion p = 0.6

a)

The mean of the the sampling distribution is equal to the population proportion.

\mu_ \hat p =  p

\mathbf{\mu_ \hat p = 0.6}

b)

The standard deviation of the sampling distribution can be estimated by using the formula:

\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}

\sigma_p = \sqrt{\dfrac{0.6(1-0.6)}{800}}

\sigma_p = \sqrt{\dfrac{0.6(0.4)}{800}}

\sigma_p = \sqrt{\dfrac{0.24}{800}}

\sigma_p = \sqrt{3 \times 10^{-4}}

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7 0
3 years ago
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

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Answer:

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Step-by-step explanation:

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Read 2 more answers
How to find 4x=14y and if it is parallel, perpendicular or neither to -2x+7y=14
RUDIKE [14]
4x = 14y
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<span>-2x+7y=14
7y = 2x + 14
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parallel lines, slope is the same
both lines have slopes equal 2/7

answer
</span><span>parallel</span>
7 0
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