Answer: <em>r</em> represents a significant linear correlation.
Step-by-step explanation:
GIven : Linear correlation coefficient: r = 0.543
Sample size: n= 25
Significance levle: 
Degree of freedom : n-2 = 25-2=23
Now, we check <em>r</em> critical value table for value with df = 23 and .
Critical value = ±0.396 [From <em>r</em> critical value table]
Since r = 0.543 > 0.396, that means there is significant linear correlation.
Hence, <em>r</em> represents a significant linear correlation.
Answer:
The quotient is 
Step-by-step explanation:
We want to simplify:
We factor the numerator to get:
We cancel out the common factors to get:
Therefore the quotient is
Answer:
14
Step-by-step explanation:
Percentage 42 / 1200 * 400
Answer:
Tony can buy three games with his savings over two months and Alice can buy six concert tickets.
Step-by-step explanation:
Over two months, Tony has watched a total of 53.6 hours of television (35.4 + 18.2). If he save $2.50 for each hour, we can multiply his total hours by the amount per hour, or 53.6 x 2.50 = $134.00. Since each game that Tony wants to buy costs $35.75, we need to divide his total savings by the cost of each game, or 134/35.75 = 3.75. Since Tony can't buy a portion of the game, the most amount of games he can buy is 3. Alice watched a total of 48.4 hours of television (21.8 + 26.6). If she also saves $2.50 per hour, then her total savings is 2.50 x 48.4 = $121.00. Since her concert tickets are $17.50 a piece, we divide her total savings: 121/17.50 = 6.9. Alice can also not buy a partial ticket, so the total amount she can buy is 6.
Answer: GCF of 13 and 17 is 1. 2.
Step-by-step explanation: Greatest common factor (GCF) of 13 and 17 is 1. We will now calculate the prime factors of 13 and 17, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13 and 17.
