Question 1:<span> 5x + 10 = 5x –8
5x - 5x + 10 = -8
10 </span>≠ -8
Hence, the answer is A.
Question 2:<span>2(4y –1) = 6
8y - 2 = 6
8y = 6 + 2
8y = 8
y = </span>
<span>
y = 1
Hence, the answer is B.
Question 3:</span><span>6x + 10 –4x = –4 –11
2x = -15 -10
2x = -25
x = </span>
x = -12.5
Hence, the answer is B.
Question 4:<span>2(2x –5 –4) = 160 –17
4x -10 -8 = 143
4x -18 = 143
4x = 143 + 18
4x = 161
x = </span>
x = 40.25
Hence, the answer is A.
Question 5:<span>2(3x –7) + 18 = 10
6x - 14 + 18 = 10
6x + 4 = 10
6x = 10 -4
6x = 6
x = </span>
x = 1
Hence, the answer is A.
Answer:
The will play the song at the same time by 4:12 pm
Step-by-step explanation:
here, we want to know the time both radio station will play the song after 3pm.
Mathematically to get this, we shall need to find the lcm of both 18 and 24. LCM stands for the lowest common multiple of both.
The lowest common multiple of both is 72.
This means that after 72 minutes, they will both play the song
So the time then would be;
72 + 3 = 4 : 12 pm
The confidence interval is
. This means that we can be 99% confident that the mean number of books people read lies between 9.15 and 11.85.
To find the confidence interval, we first find the z-score associated with it:
Convert 99% to a decimal: 0.99
Subtract from 1: 1-0.99=0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table (http://www.z-table.com) we see that this is associated with a z-score between 2.57 and 2.58. Since both are equally far from this value we will use 2.575.
We calculate the margin of error using
This means that the confidence interval is
The lower limit is given by 10.5-1.35 = 9.15.
The upper limit is given by 10.5+1.35 = 11.85
Answer:
Step-by-step explanation:
Apply pythagorean theorem:
ABD is a right triangle with angle ADB = 90
hence AD = where BD = 10 because it is half of BC
AD = =