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Elena L [17]
2 years ago
10

Nathaniel drives 45 miles in 30 minutes. If he drove three hours in total at the same rate, how far did he go?

Mathematics
2 answers:
yuradex [85]2 years ago
8 0

Answer:

270 miles

Step-by-step explanation:

45x2=90

90x3=270

Alexxx [7]2 years ago
4 0

Answer:

1hr= 60mins

3hrs=180 mins

if 30 mins =45 miles

180 mins=180×45÷30

              =270 miles

Step-by-step explanation: Hope it helps

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olchik [2.2K]

Answer:

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Perimeter of triangle K= 19.0 units (3 s.f.)

Step-by-step explanation:

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5 0
3 years ago
A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data
Rasek [7]

Answer: a. 1.981 < μ < 2.18

              b. Yes.

Step-by-step explanation:

A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.

First, we calculate mean of the sample:

\overline{x}=\frac{\Sigma x}{n}

\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}

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Now, we estimate standard deviation:

s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }

s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }

s = 0.1564

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df = 11

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α = 0.05

\frac{\alpha}{2}= 0.025

Then, t-score is

t_{11,0.025} = 2.201

The interval will be

\overline{x} ± t.\frac{s}{\sqrt{n} }

2.08 ± 2.201\frac{0.1564}{\sqrt{12} }

2.08 ± 0.099

The 95% two-sided CI on the mean is 1.981 < μ < 2.18.

B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.

8 0
3 years ago
Which represents the solution to the absolute value equation?<br> 312x + 4 - 1 = 11
Nataly_w [17]

Answer:

the last one

Step-by-step explanation:

absolute value signs means that it can be positive or negative if this helps please put brainliest

4 0
2 years ago
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Furkat [3]

Answer:

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4 0
2 years ago
46. Merchandising If 12 items are in a dozen, 12 dozen are in a gross, and 12 gross are in a great-gross, how many items are in
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3 0
3 years ago
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