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Gennadij [26K]
3 years ago
9

John and Maria are spending the afternoon hiking in the desert. They purchased 6 bottles of water for $9.00, two protein bars fo

r $5.00, and some peanuts for $3.00 as a snack. Suppose they star hiking at 11.30 A.M. and finish the hike at 3.45 P.M. What is the unit rate of money spent to hours hiked? Show your work.
Mathematics
1 answer:
zepelin [54]3 years ago
6 0

Answer:

<h2>They spent $4 per hour hiked.</h2>

Step-by-step explanation:

They spent

  • $9.00 in water.
  • $5.00 in protein bars.
  • $3.00 in peanuts.

Total cost $17.

Now, if the hiked from 11.30 AM to 3.45 PM, then they hike for 4 hours and 15 minutes. However, we need to transform those minutes into hours before we find the rate

15min\frac{1hr}{60min}=\frac{1}{4}hr=0.25hr

So, they hiked for 4.25 hours.

Then, to find the unit rate of money spent per hour hiked, we just need to divide $17 by 4.25 hr.

\frac{\$17}{4.25hr}=4\frac{\$}{hr}

Therefore, they spent $4 per hour hiked.

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Answer:

The probability that 10 adults selected at random from the town all have health​ insurance is 0.01153.

Step-by-step explanation:

Consider the provided information.

One town, 64% of adults have health insurance.

Let p = 64% = 0.64

Therefore, q=1-0.64=0.36

We need to find the probability that 10 adults selected at random from the town all have health insurance

Use the formula: P(x)=^nC_r(p)^r(q)^{n-r}

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Substitute the respective values in the above formula.

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P(x)=(0.64)^{10}(0.36)^{0}\\P(x)=(0.64)^{10}\\P(x)\approx0.01153

Hence, the probability that 10 adults selected at random from the town all have health​ insurance is 0.01153.

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Step-by-step explanation:

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