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frosja888 [35]
3 years ago
14

Taylor drove from Tampa to New Orleans; her trip took her a total of 9.5 hours. Her average speed for the drive was 69 mph. For

4.5 hours Taylor's average speed was 72 mph. What was her average speed on the remainder of the trip?
Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

63.6 miles per hour (63.6 mph)

Step-by-step explanation:

We know D = RT

D is distance in miles

R is rate in mph

T is time in hours

Since Taylor took 9.5 hours with an average speed of 69 Miles an hour, total distance is:

D = RT

D = 69 * 9.5 = 655.5 miles

Now,

In 4.5 hours, he drove at 75 miles per hours, so distance he covered is:

75 * 4.5 = 337.5

So for the remaining 9.5 - 4.5 = 5 hours, he drove a distance of 655.5 - 337.5 = 318 miles. His rate would be:

D = RT

318 = R(5)

R = 318/5 = 63.6 miles per hour (63.6 mph)

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Answer:

a) 95% confidence interval estimate of the true weight is (3.026, 3.274)

b) 99% confidence interval estimate of the true weight is (2.944, 3.356)

Step-by-step explanation:

Confidence Interval can be calculated using M±ME where

  • M is the mean of five successive weightings (3.150)
  • ME is the margin of error from the mean

And margin of error (ME) can be calculated using the formula

ME=\frac{t*s}{\sqrt{N} } where

  • t is the corresponding statistic in the given confidence level and degrees of freedom(t-score)
  • s is the standard deviation of the random error (0.1)
  • N is the sample size (5)

Using the numbers 95% confidence interval estimate of the true weight is:

3.150±\frac{2.776*0.1}{\sqrt{5} }≈3.150±0.124

And 99% confidence interval estimate of the true weight is:

3.150±\frac{4.604*0.1}{\sqrt{5} }≈3.150±0.206

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3 years ago
The table shows the points Isabella scored during each basketball game of her regular season.
trapecia [35]

Answer:

first would be 5-6 and second would be 8-10

Step-by-step explanation:

7 0
3 years ago
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What is -(x - 8) simplified?
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2 years ago
Starting from the same place money goes 3.5 km/hr towarde north and Bonny goes 8.5 km/hr towards south. what will be the distanc
Vesnalui [34]

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Step-by-step explanation:

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3 years ago
Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please
Hatshy [7]

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

<em>Let the second digit be x and the last digit be y</em>

Given:

  • Data set: 13, x, 4, 16, 6, y
  • Mean = 12
  • y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12

Let us substitute the value of y (2x) in the data.

\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12

Now, add all the terms in the data and simplify.

\implies \dfrac{39 + x +2x}{6} = 12

\implies \dfrac{39 + 3x}{6} = 12

Distribute the denominators and simplify.

\implies \dfrac{39}{6} + \dfrac{3x}{6}  = 12

\implies  \dfrac{13}{2} + \dfrac{x}{2}  = 12

\implies  6.5 + \dfrac{x}{2}  = 12

Subtract 6.5 both sides and simplify.

\implies  6.5 + \dfrac{x}{2}  - 6.5 = 12 - 6.5

\implies \dfrac{x}{2} = 5.5

Use cross multiplication and simplify.

\implies x= 5.5 \times 2

\implies  x= 11

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

\implies y = 2x

\implies y = 2(11)

\implies y = 22

When the x and y values are substituted in the data, we get;

  • ⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

8 0
2 years ago
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