Answer:
Step-by-step explanation:
The ratio= 1:4
9514 1404 393
Answer:
functions: A, C; non-functions: B, D
Step-by-step explanation:
A relation is not a function if any input value (x) maps to more than one output value (y).
On a graph, we apply the "vertical line test." If any vertical line intersects two or more points on the graph, it is not a function. We say it fails the vertical line test. The bottom graph (D) fails the vertical line test, so is not a function.
On a mapping, such as figure B or C, any input (x-value) that is the source of two or more arrows means the relation is not a function. The map of B is not a function.
The other choices (A and C) show a functional relation.
Answer: 8 times
Step-by-step explanation:
There are 1/6 chance everytime you roll, so if you x48 is is 48/6 which is 8 times!
Answer:
The 95% confidece estimate for how much a typical parent would spend on their child's birthday gift is between $37.47 and $46.53.
Step-by-step explanation:
The results were roughly normal, so we can find the normal confidence interval.
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1-0.95}{2} = 0.025](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.95%7D%7B2%7D%20%3D%200.025)
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 1.96](https://tex.z-dn.net/?f=z%20%3D%201.96)
Now, find M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
![M = 1.96*\frac{12}{\sqrt{27}} = 4.53](https://tex.z-dn.net/?f=M%20%3D%201.96%2A%5Cfrac%7B12%7D%7B%5Csqrt%7B27%7D%7D%20%3D%204.53)
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 4.53 = $37.47.
The upper end of the interval is the sample mean added to M. So it is 42 + 4.53 = $46.53.
The 95% confidece estimate for how much a typical parent would spend on their child's birthday gift is between $37.47 and $46.53.