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Alina [70]
3 years ago
7

A bullet train travels at a speed of 365km/h. In August 2001, Singapore’s record for the man’s sprint was set at 10.37 second. H

ow many times is a bullet train as fast as the fastest Singaporean sprinter?
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0

Answer:

It is 91.01 m/s faster than the Singaporean sprinter

Convert km/hr to m/s

U get 101.38m/s (speed of bullet train)

Speed of the Singaporean sprinter is 10.37m/s

So subtracting the train speed from the sprinter's speed,

101.38 - 10.35= 91.01m/s

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Why are mathematicians like airlines?
ipn [44]
They both use planes.
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3 years ago
Whats the Axis of Symmetry? willing to give 15 points !!
nydimaria [60]

The axis of symmetry of a parabola in the form

y=ax^2+bx+c

is a vertical line

x=k

where k is the x coordinate of the vertex of the parabola.

The x coordinate of the vertex of the parabola is given by

-\dfrac{b}{2a}

which in your case is

-\dfrac{-6}{2\cdot \frac{1}{4}}=\dfrac{6}{\frac{1}{2}}=6\cdot 2=12

So, the axis of symmetry is the line x=12.

4 0
3 years ago
Which of the following is equivalent to 7(2x+1)-2(6x+3)=15
Ivenika [448]

Answer:

2x + 1 = 15

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f
Ann [662]

Answer:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

The estimated population proportion for this case is:

\hat p = \frac{350}{500}=0.7

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

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The zoo needed to raise $25,000. Zoo officials planned a dinner/dance event and charged $300 per couple. What is the fewest numb
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