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Anettt [7]
3 years ago
14

Peter is a long distance runner. In a training session he runs around the 400 m track 23 times. He wanted to run a distance of 1

0 km. How many more times does he need to run around the track to achieve this?
Mathematics
1 answer:
tigry1 [53]3 years ago
7 0

Answer:

2

Step-by-step explanation:

Currently, Peter has run a total distance of 400\cdot 23 =9200\:\text{m}. His goal is 10 km, as stated in the problem, which equates to 10,000 meters. Thus he will need to run 10,000-9,200=800 more meters to achieve his goal. Since the track is 400 meters, he needs to run around the track \frac{800}{400}=\boxed{2} more times to achieve his goal.

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A remote control car costs $60. It is reduced to $45 in a sale. What is the percent change?
natta225 [31]

Answer:

25%

Step-by-step explanation:

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8 0
3 years ago
Of 375 randomly selected students, 30 said that they planned to work in a rural community. Find 95% confidence interval for the
Artemon [7]

Answer:

The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 375, \pi = \frac{30}{375} = 0.08

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 - 1.96\sqrt{\frac{0.08*0.92}{375}} = 0.0525

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 + 1.96\sqrt{\frac{0.08*0.92}{375}} = 0.1075

The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).

4 0
3 years ago
Decrease £1280 byyy 4%
bazaltina [42]
Well, what is 4% of 1280?

let's count: \frac{1280*4}{100} = \frac{1280}{25}= \frac{256}{5}=51.2

and we subtract it from the original number:

1280-51.5=1228.8

and that's the answer!
7 0
3 years ago
which of the following statements about perpendicular lines is TRUE? Is it (a) Perpendicular lines have a constant distance betw
mihalych1998 [28]
(b) Perpendicular lines have to intersect at angle 90.
6 0
3 years ago
Read 2 more answers
HELPPPPPPPPPPPPPP PLS​
natulia [17]

Answer: 5^-2 * 5^2 = 5^-4

Step-by-step explanation: -2-2 = -4

Have a nice day! :)

7 0
3 years ago
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