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Doss [256]
3 years ago
13

There is a proportional relationship between your distance from a thunderstorm and the time from when you see the lightning and

hear thunder, if there are 9 seconds between lightning and thunder ,the storm is about 3 kilometers away if you double the amount of time between the lightning and thunder, do you think the distance in kilometers also double?justify your reasoning.
Mathematics
1 answer:
eimsori [14]3 years ago
3 0

Answer:

Yes.

Step-by-step explanation:

The relation would be 3 = k*9  as there is a direct proportional relationship.

So k = 3/9 = 1/3  and we can write the relation as d = 1/3 t   where d=distance and t = time.

So if we double the time t we have:-

d = 1/3 * 18

= 6 kilometers.

So the distance is doubled.

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BartSMP [9]

Answer:

50

Step-by-step explanation:

3 0
3 years ago
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The sum of two complementary angles is 90°. For one pair of complementary angles, the measure of the first angle is 15 less than
steposvetlana [31]

let 2nd angle = x

 then 1st angle = 2x-15

 then you have 90 = x + 2x-15

2x +x = 3x

 so now 90 = 3x-15

add 15 to each side

105=3x

x = 105/3 = 35

1st angle = 35 degrees

 2nd angle = 2(35) - 15 = 70-15 = 65


4 0
3 years ago
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BARSIC [14]

Answer:

y = 2x -8

Step-by-step explanation:

8 0
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A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2
Yuliya22 [10]

A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.

Answer: The correct option is B) about 34%

Proof:

We have to find P(4.2

To find P(4.2, we need to use z score formula:

When x = 4.2, we have:

z = \frac{x-\mu}{\sigma}

          =\frac{4.2-5.1}{0.9}=\frac{-0.9}{0.9}=-1

When x = 5.1, we have:

z = \frac{x-\mu}{\sigma}

          =\frac{5.1-5.1}{0.9}=0

Therefore, we have to find P(-1

Using the standard normal table, we have:

P(-1= P(z

                               =0.50-0.1587

                               =0.3413 or 34.13%

                               = 34% approximately

Therefore, the percent of data between 4.2 and 5.1 is about 34%

7 0
4 years ago
Multi step equations for 20= x + 1
vekshin1

Answer:

x = 19

Step-by-step explanation:

just subtract 1 from both sides of the equation

5 0
4 years ago
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