Answer: k = 4
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Explanation:
The piecewise function is essentially two different functions joined together. In this case,
h(x) = kx if 0 <= x < 1
OR
h(x) = x+3 if 1 <= x <= 5
The value of x determines which piece we use.
The two pieces will join together to be continuous only if the y value is the same for x = 1.
Plug x = 1 into the first piece and we get
h(x) = k*x
h(1) = k*1
h(1) = k
Do the same for the second piece
h(x) = x+3
h(1) = 1+3
h(1) = 4
Set the two results (k and 4) equal to each other and we get k = 4.
I’m not very good when it comes to area but I did find the volume
Volume: 240
Explanation
Length * width * height
12 x 5 x 4 = 240
A 90 degree counter-clockwise rotation is being done on the black figure to get the red figure.
The algebraic rule for a 90 degree counter-clockwise rotation is
For instance, the point C = (0,1) moves to C' = (-1,0), which is shown in the graph given and also you can use the rule above to get the same coordinates. The other points A,B and D follow the same rule.
Side note: the rotation is centered at the origin (0,0). This point is fixed.
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
Answer:
Я не говорю по-русски, но я думаю, что у нее 1/64 домашнее задание после 6 часов.
Step-by-step explanation:
Каждый час она завершает половину работы предыдущего часа.
c*y*k*a b*l*y*a*t comrade