Answer:
Null hypothesis: There is no relationship between direction of the ball and if it resulted in a hit or an out.
Step-by-step explanation:
In this case, the experiment conducted is to determine whether there is any relationship between the direction of the ball and if it resulted in a hit or an out.
A random sample of 300 balls hit into play in college baseball games is taken. For each ball hit into play, it is recorded whether the ball was hit to the left, center, or right of the field, and whether the ball resulted in a hit or an out.
The regression analysis would be used to determine whether there is any relationship between direction of the ball and if it resulted in a hit or an out.
The hypothesis for the regression analysis is defined as follows:
<em>H</em>₀: There is no relationship between direction of the ball and if it resulted in a hit or an out.
<em>H</em>ₐ: There is a significant relationship between direction of the ball and if it resulted in a hit or an out.
The cotangent function is defined as the ratio between cosine and sine of a given angle, i.e.
Since you can't have zero at the denominator, the cotangent function is not defined when the sine is zero.
Let's look at your option:
, so the cotangent is defined here
, so the cotangent is not defined here
, so the cotangent is defined here
, so the cotangent is defined here
Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.
Step-by-step explanation:
Let x represent the amount that he would deposit in the simple interest account.
Let y represent the amount that he would deposit in the certificate of deposit.
she will deposit twice as much in the certificate of deposit. It means that
y = 2x
Interest from the simple interest account would be 7%. This mean that the interest would be 7/100 × x = $0.07x
Interest from the certificate of deposit account would be 5%. This mean that the interest would be 5/100 × y = $0.05y.
The total interest from both accounts would be $390. It means that
0.07x + 0.05y = 390- - - - - - - - - - 1
Substituting y = 2x into equation 1, it becomes
0.07x + 0.05 × 2x = 390
0.07x + 0.1x = 390
0.17x = 390
x = 390/0.17 = $2294
y = 2x = 2 × 2294
y = 4588
Answer: 
Step-by-step explanation:
Given: Length of sandwich = 
Total people = 14
If everyone gets a same sized piece , then length of each piece should be
Hence, length of each piece =
Answer:
n=0
Step-by-step explanation:
Rearrange
10+2=8−2+10
2+10=8−2+10
Combine like terms
2n+10=<u>8n−2n</u>+10
2+10=<u>6</u>+10
Subtract from both sides
2+10=6+10
2+10<u>−10=</u>6+10<u>−10</u>
Simplify
2n=6n
Subtract both sides from 6n of the equation
2=6
2<u>−6</u>=6<u>−6</u>
Solution
n=0
