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Over [174]
3 years ago
11

Provide one reason for when you can use the distance formula.

Mathematics
1 answer:
Pepsi [2]3 years ago
6 0

Answer:

Draw a right triangle such that the distance between the two points is the hypotenuse. Hence, When you use the distance formula, you are calculating the length of the Hypotenuse of a right triangle.

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What is circle with diameter with 15cm
IrinaK [193]

Answer:

47.1cm

Step-by-step explanation:

3 0
3 years ago
An elevador starts on the 100th floor of a building it descends 4 floor every 10 seconds At what floor will the elevator be 60 s
Colt1911 [192]
The elevator will be on the 76th floor in 60 seconds.
8 0
3 years ago
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Each year, all final year students take a mathematics exam. It is hypothesised that the population mean score for this test is 1
Yuri [45]

Answer:

90% confidence interval for the population mean test score is [95.40 , 106.59]

Step-by-step explanation:

We are given that the population mean score for mathematics test is 115. It is known that the population standard deviation of test scores is 17.

Also, a random sample of 25 students take the exam. The mean score for this group is 101.

The, pivotal quantity for 90% confidence interval for the population mean test score is given by;

        P.Q. = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, X bar = sample mean = 101

              \sigma = population standard deviation

              n = sample size = 25

So, 90% confidence interval for the population mean test score, \mu is ;

P(-1.6449 < N(0,1) < 1.6449) = 0.90

P(-1.6449 < \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.6449) = 0.90

P(-1.6449 * \frac{\sigma}{\sqrt{n} } < {Xbar-\mu} < 1.6449 * \frac{\sigma}{\sqrt{n} } ) = 0.90

P(X bar - 1.6449 * \frac{\sigma}{\sqrt{n} } < \mu < X bar + 1.6449 * \frac{\sigma}{\sqrt{n} } ) = 0.90

90% confidence interval for \mu = [ X bar - 1.6449 * \frac{\sigma}{\sqrt{n} } , X bar + 1.6449 * \frac{\sigma}{\sqrt{n} } ]

                                                  = [ 101 - 1.6449 * \frac{17}{\sqrt{25} } , 10 + 1.6449 * \frac{17}{\sqrt{25} } ]

                                                  = [95.40 , 106.59]

Therefore, 90% confidence interval for the population mean test score is [95.40 , 106.59] .

7 0
3 years ago
Ratio between 16 hours<br>and 2 days​
Dafna1 [17]

Answer: 1:3

Step-by-step explanation:

2 Days = 48 hours

16 : 48 hours

1:3

3 0
3 years ago
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\bf \qquad \qquad \textit{inverse proportional variation}\\\\&#10;\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby &#10;\begin{array}{llll}&#10;k=constant\ of\\&#10;\qquad  variation&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\textit{time it takes to fill a tank varies inversely with the water rate}\\\\&#10;t=\cfrac{k}{w}\quad &#10;\begin{cases}&#10;t=\textit{time to fill}\\&#10;w=\textit{water rate}&#10;\end{cases}

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4 0
3 years ago
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