Answer: 22.5 degrees
Step-by-Step Explanation:
As we can see, we are given a line, which is a straight angle. Hence, it will be of 180 degrees.
=> All the angles sum up to 180.
Therefore,
=> 3x + x + 90 = 180
= 4x + 90 = 180
= 4x = 180 - 90 = 90
=> x = 90/4 = 22.5
Therefore, x = 22.5 degrees
Verification:
=> 3x + x + 90 = 180
= 3(22.5) + 22.5 + 90 = 180
= 67.5 + 22.5 + 90 = 180
= 90 + 90 = 180
=> 180 = 180
=> LHS = RHS
Answer:
$8.50
Step-by-step explanation:
$29.75 / 3.5 hours = $8.50 per hour
It will be $2.50 for each pound of walnuts, and it will be $1 for each pound of chocolate chips.
I know this hold true because when we multiply $2.50 by 2, we get $5, and add that to the other $5 from the chocolate chips and we will get $10. We can also multiply $2.50 by 8 and add $3 from chocolate chips to get $20 + $3, or $23.
<u>Answer:</u>
<u>Null hypothesis: Policy B remains more effective than policy A.</u>
<u>Alternate hypothesis: Policy A is more effective than policy B.</u>
<u>Step-by-step explanation:</u>
Remember, a hypothesis is a usually tentative (temporary until tested) assumption about two variables– independent and the dependent variable.
We have two types of hypothesis errors:
1. A type I error occurs when the null hypothesis (H0) is wrongly rejected.
That is, rejecting the assumption that policy B remains more effective than policy A when it is <em>actually true.</em>
2. A type II error occurs when the null hypothesis H0, is not rejected when it is actually false. That is, accepting the assumption that policy B remains more effective than policy A when it is <em>actually false.</em>
The length of the envelope is 6.3 inches
Step-by-step explanation:
Width of the envelope = 3 inches
Diagonal of the envelope = 7 inches
To find:
The length of the envelope.
Let the length of the envelope be 'l'
We can use pythogoras theorem to calculate the length.
l = √(49-9)
l = √(40)
l = 6.3 inches
The length of the envelope is 6.3 inches
