Answer:
(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)
Answer is C
Based on the number of pages read and the time it was read in, the number of pages read per day was <u>44 pages. </u>
Marion read 616 pages and did this in 14 days.
She read the same number of pages each day so the number of pages read per day was:
<em>= Number of pages read in total / Number of days </em>
= 616 / 14
= 44 pages
In conclusion, she read 44 pages per day.
Find out more about divisional problems at brainly.com/question/13417862.
So,
We are trying to find the compound probability of there BEING oil and the test predicting NO oil.
The percent chance of there actually being oil is 45%. We can convert this into fraction form and simplify it.
45% -->




That is the simplified fraction form.
The kit has an 80% accuracy rate. Since we are assuming that the land has oil, we need the probability that the kit predicts no oil.
The probability that the kit detects no oil will be the chance that the kit is not accurate, which is 20% (100 - 80 = 20). We can also convert this into fraction form and simplify it.
20% -->



That is the probability of the kit not being accurate (not predicting any oil).
To find the compound probability of there being oil and the kit not predicting any oil, we simply multiply both fractions together.



So the probability of there BEING oil and the kit predicting NO oil is 9 in 100 chances.
Answer:
t-value = 2.441
Step-by-step explanation:
Let's assume that this is a one-tailed test to calculate the critical value, the process is this:
- Calculate alpha (α): α = 1 - (confidence level / 100)
, but we already have this α=0.01
- Find the critical probability (p*): p* = 1 - α/2 = 1-0.005=0.995
- Then, the critical value would be shown as a t statistic, but for this we need:
degrees of freedom (df)= n-1=35-1=34
- The critical t statistic (t*) or critical value is the t-value having degrees of freedom equal to 34 and a cumulative probability equal to 0.995.
From the attached table we can see:
t-value = 2.441
Answer:
$2.90
Step-by-step explanation:
<u>Lets look at the information given:</u>
Scott made 3 necklaces
$14.40 is the cost for both the beads and pendants for all 3 necklaces
$5.70 was the cost of just beads for all 3 necklaces
Each necklace has 1 pendant
The first step to solving this equation is subtracting the cost of the beads from the total cost for the necklaces:
$14.40 - $5.70= $8.70
Now we know that cost for the 3 pendants for all 3 necklaces was $8.70, but we need to find how much EACH pendant costs. To find out, we simply divide the total cost for all 3 pendants by 3:
$8.70 ÷ 3 = $2.90
So each pendent costs $2.90