Answer:
1. 2
2. 30
Step-by-step explanation:
1. The weird circle looking thing essentially means you're putting p(x) inside of q(x). This means you take the x in q(x) and replacing with the entire p(x)
so q(x) = -3x - 4
(q °p)(x) = -3 (-2x+4) -4 sorry I can't find the actual circle thing symbol
now distribute to get the simplified equation:
= 6x -12 -4
= 6x - 16
because you're doing (q - p )(3), you would plug 3 for x into the new equation
6(3) - 16 = 2
and thats you're answer for the first one
for the second one its the other way around, so you're putting all of q(x) into p(x)
take p(x) : -2x+4
and now replace the x with the entire q(x)
so (p - q)(x) = -2 (-3x-4) +4
simplify: = 6x+8+4 = 6x+12
so now since we're doing (p-q)(3), we need to plug in 3 for x in the new equation
= 6(3)+12 = 30
lmk if those were wrong or if my explanation was unclear, there's another way I can explain it even though its the same process :)
Answer:
3
Step-by-step explanation:
Y=X+7 if you use a graphing calculator this should be right. i tried a couple different things.
Answer:
a) Alternative hypothesis should be one sided. Because Null and Alternative hypotheses are:
: μ=2.66 dyne-cm.
: μ<2.66 dyne-cm.
b) the hypothesis that mean adhesion is at least 2.66 dyne-cm is true
Step-by-step explanation:
Let μ be the mean adhesion in dyne-cm.
a)
Null and alternative hypotheses are:
: μ=2.66 dyne-cm.
: μ<2.66 dyne-cm.
b)
First we need to calculate test statistic and then the p-value of it.
test statistic of sample mean can be calculated as follows:
t= where
- M is the mean adhesion assumed under null hypothesis (2.66 dyne-cm)
- s is the standard deviation known (0.7 dyne-cm_2)
Sample mean is the average of 2.69, 5.76, 2.67, 1.62 and 4.12 dyne-cm, that is ≈ 3.37
using the numbers we get
t= ≈ 2.27
The p-value is ≈ 0.043. Taking significance level as 0.05, we can conlude that sample proportion is significantly higher than 2.66 dyne-cm.
Thus, according to the sample the hypothesis that mean adhesion is at least 2.66 dyne-cm is true
Answer:
-3 ≤ y ≤ 3
Step-by-step explanation: