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2 years ago

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in the first 1/6 hour of a rainstorm, 1/10 inch of rain fell. if the rain continues to fall at the same rate,how much rain fell

in 2 1/2 hours ?

2 answers:

vodomira [7]2 years ago

7 0

Answer:

$\dfrac{3}{2}$ inches

Step-by-step explanation:

You can use a proportion.

1/6 hour is to 1/10 inch as 2 1/2 hours is to x inches.

$\dfrac{\frac{1}{6}}{\frac{1}{10}} = \dfrac{2 \frac{1}{2}}{x}$

$\dfrac{1}{6}x = \dfrac{1}{10} \times 2 \dfrac{1}{2}$

$\dfrac{1}{6}x = \dfrac{1}{10} \times \dfrac{5}{2}$

$\dfrac{1}{6}x = \dfrac{5}{20}$

$\dfrac{1}{6}x = \dfrac{1}{4}$

$x = \dfrac{6}{4}$

$x = \dfrac{3}{2}$

nignag [31]2 years ago

6 0

Answer:

1.5 inches of rain

Step-by-step explanation:

In the first 1/6 hour of a rainstorm, 1/10 inch of rain fell.

multiply everything by 30

in 30/6=5 hours, there will be 30/10=3 inches of rain.

if the rain continues to fall at the same rate,

in 2 1/2 hours which is half of 5 hours, there will be 3/2=1.5 inches of rain.

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2 years ago

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Jane likes to exercise daily. The table shows the number of calories y she burns by exercising steadily for x minutes. How many

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Below is the five Number summary for a 136 hikers who recently completed the John muir trail JMT the variable is the amount of t

Helga [31]

Answer:

$IQR = Q_3 -Q_1 = 28-18 = 10$

Now we can find the limits in order to determine outliers like this:

$Left = Q_1 -1.5 IQR = 18 -1.5*10=3$

$Right = Q_1 +1.5 IQR = 18 +1.5*10=33$

So for this case the left boundary would be 3, if a value is lower than 3 we consider this observation as an outlier

b. 3

Step-by-step explanation:

For this case we have the following summary:

$Minimum = 9$ represent the minimum value

$Q_1 = 18$ represent the first quartile

$Median =Q_2= 21$ represent the median

$Q_3 = 28$ represent the third quartil

$Maximum=56$ represent the maximum

If we use the 1.5 IQR we need to find first the interquartile range defined as:

$IQR = Q_3 -Q_1 = 28-18 = 10$

Now we can find the limits in order to determine outliers like this:

$Left = Q_1 -1.5 IQR = 18 -1.5*10=3$

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2 years ago

Which of the following options have the same value as 60\%60%60, percent of 949494?

garri49 [273]

<h2>Answer:</h2>

The correct options are:

Choice A

Choice C

and Choice E

<h2>Step-by-step explanation:</h2>

We are asked to find the value of:

60% of 94

We know that: it is represented as:

$60\%\ of\ 94=\dfrac{60}{100}\times 94\\\\\\=0.6\times 94$

Choice A)

$0.06\cdot 940$

We know that:

$0.6\times 94$ could also be written as:

$0.06\times 940$

Since we multiplied and divide by 10 such that:

$=0.6\times 94\times \dfrac{10}{10}\\\\\\=\dfrac{0.6}{10}\times (94\times 10)\\\\\\=0.06\times 940$

Hence, option: A is correct.

Choice B)

$0.6\cdot 940$

This option is incorrect.

Since by choice A we get that the correct expression is: $0.06\cdot 940$

Choice C)

We get:

$\dfrac{3}{5}\cdot 94$

This option is correct.

Since,

$60\%\ of 94\ is:\\\\\\=\dfrac{60}{100}\cdot 94\\\\\\=\dfrac{3}{5}\cdot 94$

Choice D)

$60\cdot 94$

This option is incorrect because the actual expression is:

$0.6\cdot 94$

Choice E)

[/tex]\dfrac{60}{100}\cdot 94[tex]

This is the correct expression.

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