Answer: y = - 1
Step-by-step explanation:
- Combine the like terms. -23y - 5 = 18
- Add 5 on both sides. -23y = 23
- Divide -23 on both sides. y = - 1
Answer:
1/2
Step-by-step explanation:
Answer:
The probability that a random sample of 16 SAT scores has a sample mean between 1440 and 1480 is 0.1464
Step-by-step explanation:
The probability that the sample mean is between 1440 and 1480 is equal to the probability that the sample mean is below 1480 minus the probability that the sample mean is below 1440, or
P(1440 < sample mean < 1480)
=P(sample mean<1480) - P(sample mean<1440)
To find these probabilities we need to calculate the statistic of 1440 and 1480, and it can be calculated as:
t= where
- X is the sample mean (1440,1480)
- M is the mean SAT scores (1518)
- s is the standard deviation (325)
- N is the sample size (16)
then
t(1440)= =-0.96
t(1480)= = -0.4677
using the t table with 15 degrees of freedom we can find that
P(sample mean<1480) = P(t<-0.4677) = 0.3225
P(sample mean<1440) = P(t<-0.96) = 0.1761
Then P(1440 < sample mean < 1480) =0.3225 - 0.1761 = 0.1464
The complete question in the attached figure
we have that
f(x) = x²<span> + 1
g(x) = x – 4
step 1
find </span>(f o g)(x)
(f o g)(x)= (x - 4)² + 1(f o g)(x) = x² - 8x + 16 + 1
(f o g)(x) = x² - 8x + 17
step 2
find (f o g)(10)
(f o g)(10) = 10² - 8*(10) + 17
(f o g)(10 = 100 - 80 + 17
(f o g)(10)= 37
the answer is 37
Answer:
f(3)=log9 and f(27)=log81