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dangina [55]
2 years ago
15

At the school track meet, Dita ran 100 meters at a rate of 6. 25 meters per second. Time = StartFraction distance Over rate EndF

raction How long did it take Dita to finish the race? 16 seconds 93. 75 seconds 106. 25 seconds 625 seconds.
Mathematics
2 answers:
tiny-mole [99]2 years ago
7 0

Answer:

16 seconds

Step-by-step explanation:

So, we know that distance equals 100.

We also know that Dita covers 6.25 meters of this distance every second.

Since this is 6.25 PER second, we can write this as 6.25s, where s is seconds.

To find the seconds it takes to cover 100 meters in distance, we can write the following equation:

6.25s = 100

This makes sense, since the 100 meters in distance is equal to the rate of change in meters, times the seconds.

Now we just need to solve for s.

To do this, we must get s alone. We can do this by dividing 6.5 from both sides:

\frac{6.25}{6.25}s = \frac{100}{6.25}  

     =

  s = 16

So this means the seconds it takes to go 100 meters is 16 seconds, your first answer option

hope this helps! :3

seraphim [82]2 years ago
5 0

Answer:

16 seconds

Step-by-step explanation:

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iVinArrow [24]
42.50$ ?        21 times 1.25  plus 13 times 1.25 = 42.50?  
4 0
3 years ago
In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the
sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

<em>Let </em>\hat p<em> = sample proportion of households who own a 4K television.</em>

The z-score probability distribution for sample proportion is given by;

           Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

     p = population proportion of households own a 4K television = 35%

     n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( \hat p > 0.50)

    P( \hat p > 0.50) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } > \frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } } ) = P(Z > 3.67) = 1 - P(Z \leq 3.67)

                                                                   = 1 - 0.99988 = 0.00012

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.</em>

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

8 0
3 years ago
I NEED HELP PLEASE! :)
Romashka-Z-Leto [24]

Circle equation: (x - h) + (x - k) = r²

(h, k) = center

r = radius

The center is (-7, 4)

To find the radius, take the square root of 49.

√49 = 7

The radius is 7.

Best of Luck!

6 0
2 years ago
What is the difference between the number 16 and 23
svlad2 [7]

Answer:

Well it’s greater bc 23 is greater than 16

Step-by-step explanation:

I don’t know if u needed this or something else

7 0
3 years ago
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Going into the final exam, which will count as two tests, Brooke has test scores of 75, 82, 70, 65, and 90. What score does Broo
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Brooke needs to get a 98 on the final to get an average of 80.
So you know that the total of the five given score is 382 by adding all the scores.
Now you multiply the average, 80 by 6 for the total of six tests including the final which is 480
Then you subtract 480-382 to find your answer.
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