Answer:
Step-by-step explanation:
The arcs LY, KM, KL and MJ together form the full revolution angle, thus
Note that
then
So,
Also
so
In triangle EML,
Thus,
Answer:
The 90% confidence interval is
Step-by-step explanation:
From the question we are told that
The sample size is n = 1007
The sample proportion is
From the question we are told the confidence level is 90% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 90% confidence interval is mathematically represented as
=>
=>
Answer: She purchased 8 sports drinks,
Step-by-step explanation:
Let be "d" the number of sports drinks that April purchased and "p" the number of slices of pizza that April purchased.
Set up a System of equations:
In order to solve the System of equations you can use the Substitution Method:
1. Solve for "p" from the first equation:
2. Substitute it into the second equation:
3. Finally, you must solve for "d" in order to find its value. You get that this is:
Answer:
<u>12 years</u>
Step-by-step explanation:
Let Kishor's present age be denoted by x.
According to the question :
- He will 3 times as old as he was 4 years ago after 12 years
Therefore, the equation is :
Solving :
- x + 12 = 3x - 12
- 3x - x = 12 + 12
- 2x = 24
- x = <u>12 years</u>
<u></u>
Hence, Kishor's present age is <u>12 years</u>.