Answer:
26°
Step-by-step explanation:
<DFG+<EFG = 180°( Being sum of adjacent angle in linear pair is 180°)
You can also write;
<DFG+<EFG = 180°( Being sum of supplementary angle is 180°)
By putting the value of those angles;
5y+3+(2y-5)=180
5y+3+2y-5=180
5y+2y-5+3 =180°
7y-2=180°
7y=180+2
7y=182
y=182/7
y=26°
Hence,
The value of y is 26°
Correct question:
Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after 8 days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet.
Answer: 2 hours
Step-by-step explanation:
Everyday Kim practices volleyball and clarinet = v/ball + clarinet
Everyday volleyball practice = 2.5hours
That is clarinet(hours) + 2.5 hours of volleyball
After 8 day, total practice hours of both volleyball and clarinet equals 36 hours
The above information can be represented mathematically as thus:
Let h = hours per day of clarinet
8(h + 2.5) = 36
8h + 20 = 36
8h = 36 - 20
8h = 16
h = 16/8
h = 2
Answer:
3,600 ft
Step-by-step explanation:
so you would divide 240 in half and get 120 and then you would multiply 120 and 360 because the Ferris wheel is a circle and then you would divide by 12 because there is 12 inches in a foot and get your final answer 3,600 feet
Answer:
The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).
Step-by-step explanation:
The formula for estimating the population proportion by a confidence interval is given by:

Where:
is the sample's proportion of success, which in this case is the people that regularly lie during surveys,
is the critical value needed to find the tails of distribution related to the confidence level,
is the sample's size.
<u>First</u> we compute the
value:

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

Now we can replace in the formula with the obtained values to compute the confidence interval:

Answer:
3 7 8 2 6 4 1 10 3 5 9 the answer