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Mars2501 [29]
3 years ago
10

Rachel really wants to purchase a new skateboard and her mother has agreed to give her a weekly allowance that she can save unti

l she has $220 (enough to buy the skateboard). Rachel’s mother is a math teacher and presents two different plans for paying her weekly allowance
Plan 1: a fixed weekly payment of $25


Plan 2: a 120 initial plus payment $10 per week


Part 1: write an equation for each plan explain what information the variables and numbers represents


Part 2: which plan requires number of weeks to save enough money for the kateboard? Explain or show your work
Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

Please mark brainliest!

Part 1:

Plan 1: y = 25x

Plan 2: y = 120 + 10x

x = number of weeks

y = total money

Part 2:

Plan 1 requires 8.8 weeks.

220/25 = 8.8

Plan 2 requires 10 weeks.

220 - 100 = 100

100/10 = 10 weeks

Plan 1 is best since the money is earned faster.

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Because of staffing decisions, managers of the Gibson-Marion Hotel are interested in the variability in the number of rooms occu
olchik [2.2K]

Answer:

a) s^2 =30^2 =900

b) \frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

c) 23.818 \leq \sigma \leq 41.112

Step-by-step explanation:

Assuming the following question: Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in  the variability in the number of rooms occupied per day during a particular season of the  year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per  day and a sample standard deviation of 30 rooms

Part a

For this case the best point of estimate for the population variance would be:

s^2 =30^2 =900

Part b

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

The degrees of freedom are given by:

df=n-1=20-1=19

Since the Confidence is 0.90 or 90%, the significance \alpha=0.1 and \alpha/2 =0.05, the critical values for this case are:

\chi^2_{\alpha/2}=30.144

\chi^2_{1- \alpha/2}=10.117

And replacing into the formula for the interval we got:

\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

Part c

Now we just take square root on both sides of the interval and we got:

23.818 \leq \sigma \leq 41.112

5 0
3 years ago
How do I solve y= -3(1/2)*2 ?
Kruka [31]
Idk how to do this one
6 0
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In baseball, Shintaro had 4 hits in his last 12 times at bat.
ikadub [295]

For this case we can propose a rule of three according to the Shontaro base performance.

4 hits ------------> 12 times at bat

x -------------------> 36 times at bat

Where "x" represents the number of hits he will have the following week, based on his previous performance.

x = \frac {36 * 4} {12}\\x = 12

So, Shintaro will have 12 hits in 36 times at bat

Answer:

Shintaro will have 12 hits in 36 times at bat

OPtion B

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What’s the answer quick giving brainliest to the correct answer
vlada-n [284]

Answer:. p ≤ 5.

Step-by-step explanation:

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Debbie has equal numbers of dimes and quarters with a total value of $1.40. How many coins does she have altogether?
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