At a banquet 216 guests sit at 18 tables. Each table has the same number of guests. How many guests per table?

If an ant crawls 1 meter in 25 seconds, what is the ant’s speed?

Oduvanchick [21]

$1min=60s\to1s=\frac{1}{60}min\\\\25s=25\times\frac{1}{60}min=\frac{5}{12}min\\\\1m/25s=1m/\frac{5}{12}min=\frac{12}{5}\ m/min=2.4\ m/min$

3 0

3 years ago

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At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi

gizmo_the_mogwai [7]

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Find the duration
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Time : 9:00am to 10:15am
Duration: 1hour 15 mins or 1.25hours

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Find difference in distance travelled between the two cyclists.
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Difference in speed = 6km/h
1 hour = 6 km
1.25 hours = 7.5km

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Find the distance the cyclist traveled
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42.5 - 7.5 = 35km
35km ÷ 2 = 17.5km

The slower cyclist traveled 17.5 km in the 1.25 hours

17.5 + 7.5 = 25 km

The faster cyclist traveled 25km in the 1.25 hours

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Find the speed of the slower cyclist
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1.25 hour = 17.5 km
1 hour = 17.25 ÷ 1.25
1 hour = 14km

The cyclist was traveling at 14km/h

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Find the speed of the faster cyclist
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1.25 hour = 25km
1 hour = 25 ÷ 1.25
1hour = 20 km

The cyclist was traveling at 20km/hour

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Answer: The speed were 14km/h and 20 km/h
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8 0

3 years ago

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An employee’s new salary is $26.355 after getting a 5% raise. What was the salary before the increase pay?

Serga [27]

Answer:

$25.03725

Step-by-step explanation:

<u>Step 1: Multiply both sides by %5 to get the raise</u>

26.355 * %5 is same as 26.355 * 0.05

$1.31775 is the raise

<u>Step 2: Subtract the raise from the new salary</u>

26.355 - 1.31775

25.03725

Answer: $25.03725

5 0

3 years ago

What is 8,100 in scientific notation?

Rzqust [24]

8.1 I think but there's an app called, tiger something and it tells,you the answers

6 0

3 years ago

Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follow

guajiro [1.7K]

Answer:

a) x = 1.52

b) s = 1.16

Step-by-step explanation:

We have that:

5 students watched 0 movies.

9 students watched 1 movie.

5 students watched 2 movies.

5 students watched 3 movies.

1 student watched 4 movies.

(a) Find the sample mean x.

Sum divided by the number of students. So

$x = \frac{5*0 + 9*1 + 5*2 + 5*3 + 1*4}{5 + 9 + 5 + 5 + 1} = \frac{38}{25} = 1.52$

(b) Find the approximate sample standard deviation, s.

Standard deviation of the sample.

Square root of the sum of the squares of the values subtracted from the mean, divided by the sample size subtracted by 1. So

$s = \sqrt{\frac{5*(0-1.52)^2 + 9*(1-1.52)^2 + 5*(2-1.52)^2 + 5*(3-1.52)^2 + 1*(4-1.52)^2}{24}} = \sqrt{\frac{32.24}{24}} = 1.16$

3 0

3 years ago