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Ulleksa [173]
3 years ago
9

Suppose 2 /7 of students in your school wore shorts today. How many students would you have to select randomly, on average, in o

rder to get 14 students who wore shorts to school?
Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

Answer: 49 students

Step-by-step explanation:

2 /7 of students in a school wore shorts today. The number of students to be selected in order to get 14 students who will wear shorts to school will be:

Let the number of students that will be sampled be y. This will be:

2/7 of y = 14

2/7 × y = 14

2y/7 = 14

Cross Multiply

2y = 7 × 14

2y = 98

y = 98/2

y = 49

49 students will be selected randomly.

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there are 120 seats in the balcony of theatre .if this 1/5 of the total seats, what's the total number of seats in the theater​
natka813 [3]

Answer:

600 seats

Step-by-step explanation:

We know there is 120 seats on a balcony and that is   \frac{1}{5}   of the total seats, we want to find the total number of seats so,

120 seats    =      \frac{1}{5}

We know that a whole fraction sums to 1 so for example   \frac{1}{5} +\frac{4}{5} =\frac{5}{5} =1

120 seats    =      \frac{1}{5}

Multiply  both sides to make it a whole fraction

600 seats =     \frac{5}{5} =1

So if there is 120 seats and that number is only    \frac{1}{5}    of the total number of seats then the total number of seats is 600

3 0
3 years ago
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I only need number one. <br> Which variable should be the dependent variable?
Natali [406]
The dependent variable is y, that represents the years
5 0
3 years ago
Yep here we go again:
Shtirlitz [24]

Answer:

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5 0
2 years ago
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A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rat
Leona [35]

Given:

A deep sea diver started at sea level (0 feet).

Rate of diving = 5.6 feet per minute.

Time = \dfrac{1}{2} hour

To find:

The rational number that represents his position relative to sea level.

Solution:

We know that,

1 hour = 60 minutes

\dfrac{1}{2} hour = 30 minutes

A deep sea diver, dove at a rate of 5.6 feet per minute.

Distance covered in 1 minute = 5.6 feet

Distance covered in 30 minute = 30 × 5.6 feet

                                                    = 168 feet

The diver dove 168 feet in \dfrac{1}{2} hour. Since it is below the sea level, therefore it should be negative.

So, the rational number that represents his position relative to sea level is -168 feet.

Therefore, the correct option is D.

5 0
3 years ago
According to the empirical rule, if the data form a bell-shaped normal distribution, __________ of the observations will fall wi
Kaylis [27]

Answer:

95%

Step-by-step explanation:

The empirical rule states that if data follows normal distribution then the percentage of observations falls within one, two and three standard deviation around the mean are

i) 68% falls within one standard deviation

ii) 95% falls within two standard deviation

iii) 99.7% falls within three standard deviation.

Hence 95% of the observations will fall within two standard deviations around the mean if the data follows normal distribution.

5 0
3 years ago
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