We can use the subtraction property of logs to expand the right side of the equation:
log(1/H*) = log(1) - log(H*)
No matter what base we’re using, log(1) = 0, so this simplifies to -log(H*). We’re also given a pH value of 3.6, so we can substitute this value into the original equation along with -log(H*) to get
3.6 = -log(H*)
Multiplying by -1 on both sides:
-3.6 = log(H*)
And rewriting in exponential form:
H* = 10^(-3.6) = 0.0003 (rounded to the nearest ten thousandth)
Answer:
y = -2
Step-by-step explanation:
y - 2 = -4
add 2 to both sides
y - 2 + 2 = -4 + 2
y = -2
Answer:
68% of jazz CDs play between 45 and 59 minutes.
Step-by-step explanation:
<u>The correct question is:</u> The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?
Let X = <u>playing time of jazz CDs</u>
SO, X ~ Normal(
)
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
Now, according to the 68-95-99.7 rule, it is stated that;
- 68% of the data values lie within one standard deviation points from the mean.
- 95% of the data values lie within two standard deviation points from the mean.
- 99.7% of the data values lie within three standard deviation points from the mean.
Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;
For 45 minutes, z-score is =
= -1
For 59 minutes, z-score is =
= 1
This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.
Ann: 21
Jim: 31
Miguel: 63
Let’s start by finding Ann’s number.
a + (a + 10) + 3a = 115
5a + 10 = 115
5a = 115 - 10
5a = 105
a = 105 / 5
a = 21
Now, just find the others’ numbers using Ann’s.
Jim sent ten more messages than Ann, and 21 + 10 = 31.
Miguel sent 3 times as many messages as Ann, and 21 * 3 = 63.
For the square its 18x12 which is 216
For tge triangle its 18x7 which is 126 divided by 2 because its a triangle so 63
216+63=279yds^2