Aschool conducted a survey to find out which games students enjoy watching the most. the table below contains the results of the survey. grade basketball baseball football soccer tennis other marginal totals elementary school 51 18 26 32 4 6 137 middle school 50 24 44 34 7 18 177 high school 42 17 58 36 11 24 188 marginal totals 143 59 128 102 22 48 502 which observation is supported by the data in the table? tennis is most popular among elementary school students. baseball is most popular among students in all grades. football is most popular among high school students. soccer is most popular among middle school students.

The observation that is supported by the data in the table is:

       Football is most popular among high school students.    

The table is given by:

 Grade    Basket   Base   Foot    Soccer   Tennis   Other   Total

Elementary    51        18      26           32          4          6         137

School        

Middle            50       24     44            34          7          18       177 

School          

High                42      17       58            36         11         24      188          School

Total                 143     59     128           102        22       48     502

a)

Tennis is most popular among elementary school students.

This option is incorrect as the frequency corresponding to tennis is least among elementary school students.

b)

Baseball is most popular among students in all grades.

This option is incorrect as we may observe that the frequency of baseball among each grade student is low than basketball.

Hence, it can't be popular.

c)

Football is most popular among high school students.

                 This option is correct.

Since the frequency of football is highest among high school students as compared to all the other given sports.

d)

Soccer is most popular among middle school students.

This option is incorrect as the frequency of soccer among middle school students is not highest.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)