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Pavel [41]
2 years ago
14

If a girl in a bikini has walked 4 KM in 10 minutes, How many kilometers does she walk in 3 years?

Mathematics
1 answer:
Mashutka [201]2 years ago
5 0

Answer:

631139.04 kilometers in 3 years

Step-by-step explanation:

Let x = how many kilometers she walk

y = time (minutes)

Since she walks 4km in 10 minutes.

x = 4, y = 10

(4,10)

But how many minutes if she walk only a kilometer? Divide x and y by 4.

(1,2.5)

She walks a kilometer under 2.5 minutes.

Now finding rate of changes.

\displaystyle \large{m =  \frac{10 - 2.5}{4 - 1} } \\  \displaystyle \large{m =  \frac{7.5}{3} } \\ \displaystyle \large{m =  2.5}

Since m = 2.5

and of course, the function should be proportional so the equation should be y = mx.

\displaystyle \large{y = 2.5x }

Since time should be minutes instead of years.

Since 3 years = 1577847.6 minutes

\displaystyle \large{1577847.6 = 2.5x}

Divide both sides by 2.5

\displaystyle \large{ \frac{1577847.6}{2.5} = x} \\ \displaystyle \large{631139.04 = x }

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An object is spinning around a circle at a rate of 420 revolutions per minute. If the circle has a diameter of 8 feet, what is i
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

This seems more like a physics questions, but i'll help you  :P

the circle is 8 feet across or a radius of 4 feet

circumference of the circle is 2\pir  = 25.132741 feet

it's going around 420 times a minute

420 * 25.132741 = 10555.75132 feet per minute

10,555.75

7 0
3 years ago
A Government company claims that an average light bulb lasts 270 days. A researcher randomly selects 18 bulbs for testing. The s
Fofino [41]

Answer:

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question, we have that:

\mu = 270, \sigma = 90, n = 18, s = \frac{90}{\sqrt{18}} = 21.2

What is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days?

This is the pvalue of Z when X = 260. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{260 - 270}{21.2}

Z = -0.47

Z = -0.47 has a pvalue of 0.3192.

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

5 0
3 years ago
Hanson is at a ball game with his family. he goes to the concession stand to buy soft pretzels and water bottles for everyone. a
guajiro [1.7K]

The system of equation that can be used to represent the situation is as follows:

  • x + y = 16
  • 2x + 3.5y = 47

The number of water bottle bought = 6

The number of pretzel bought = 10

Let

x = number of water bottle bought

y = number of pretzel bought

Hanson buys 16 items. Therefore,

  • x + y = 16

Hanson spends a total of $47. Therefore,

  • 2x + 3.5y = 47

<h3>Combined System of equation:</h3>
  • x + y = 16
  • 2x + 3.5y = 47

Therefore, let multiply equation(i) by 2

2x + 2y = 32

2x + 3.5y = 47

1.5y = 15

y = 15 / 1.5

y = 10

x + 10 = 16

x = 6

learn more on system of equation: brainly.com/question/20313322?referrer=searchResults

7 0
2 years ago
Given 15 cot A = 8, find sin A and sec A.​
pogonyaev

Answer:

sin A = 15/17

sec A = 17/8

Step-by-step explanation:

15 cot A = 8

First get cot A alone.

cot A = 8 / 15

Since cot is the reciprocal of tan then flip 15 and 8.

tan A = 15 / 8

Now you have the opposite and adjacent sides, just find the hypotenuse with Pythagorean's theorem

15^2 + 8^2 = 289

\sqrt{289} = 17

Now that you have all the sides use the opposite and hypotenuse to get sine and the adjacent and hypotenuse to get cosine then flip to get secant.

sin A = 15/17

cos A = 8/17

sec A = 17/8

7 0
3 years ago
If mBGC = 16x - 4 and mCGD = 2x + 13, find the value of x so that BGD is a right angle​
Lelu [443]

Hi there! :)

Answer:

\huge\boxed{x = 4.5}

m∠BGC = 16x - 4

m∠CGD = 2x + 13

m∠BGC + m∠CGD sums up to 90°, therefore:

(16x - 4) + (2x + 13) = 90

Combine like terms and simplify:

16x + 2x - 4 + 13 = 90

18x - 4 + 13 = 90

18x + 9 = 90

18x = 81

18x/18 = 81/8

x = 4.5

5 0
2 years ago
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