Answer:
1. 42
2. 6
3. 18
4. 0
5. - 2
Step-by-step explanation:
Use BIDMAS
Answer:
218 students purchased tickets at the dance.
Step-by-step explanation:
Let,
x be the number of presale tickets
y be the number of tickets sold at the dance
According to given statement;
x+y=334 Eqn 1
18x+24y=7320 Eqn 2
Multiplying Eqn 1 by 18
18(x+y=334)
18x+18y=6012 Eqn 3
Subtracting Eqn 3 from Eqn 2
(18x+24y)-(18x+18y)=7320-6012
18x+24y-18x-18y=1308
6y=1308
![\frac{6y}{6}=\frac{1308}{6}\\y=218](https://tex.z-dn.net/?f=%5Cfrac%7B6y%7D%7B6%7D%3D%5Cfrac%7B1308%7D%7B6%7D%5C%5Cy%3D218)
Therefore,
218 students purchased tickets at the dance.
Answer:
![0.22 -1 *0.029 =0.191](https://tex.z-dn.net/?f=%200.22%20-1%20%2A0.029%20%3D0.191)
![0.22 +1 *0.029 =0.249](https://tex.z-dn.net/?f=%200.22%20%2B1%20%2A0.029%20%3D0.249)
And the best option would be:
D. (0.191 to 0.249)
Step-by-step explanation:
For this case we know that the mean is:
![\bar X = 0.22](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%200.22)
And the standard error is given by:
![SE = 0.029](https://tex.z-dn.net/?f=%20SE%20%3D%200.029)
We want to construct a 68% confidence interval so then the significance level would be :
and
. The confidence interval is given by:
![\bar X \pm z_{\alpha/2} SE](https://tex.z-dn.net/?f=%20%5Cbar%20X%20%5Cpm%20z_%7B%5Calpha%2F2%7D%20SE)
Now we can find the critical value using the normal standard distribution and we got looking for a quantile who accumulate 0.16 of the area on each tail and we got:
![z_{\alpha/2}= 1](https://tex.z-dn.net/?f=%20z_%7B%5Calpha%2F2%7D%3D%201)
And replacing we got:
![0.22 -1 *0.029 =0.191](https://tex.z-dn.net/?f=%200.22%20-1%20%2A0.029%20%3D0.191)
![0.22 +1 *0.029 =0.249](https://tex.z-dn.net/?f=%200.22%20%2B1%20%2A0.029%20%3D0.249)
And the best option would be:
D. (0.191 to 0.249)
Answer:
x-intercept (s):
For this case h (x) = 0
x2 - 2x - 8 = 0
(x-4) * (x + 2) = 0
x1 = 4
x2 = -2
y-intercept:
For this case x = 0
h (0) = (0)2 - 2 (0) - 8
h (0) = - 8
vertex:
We derive the equation:
h '(x) = x2 - 2x - 8
h (x) = 2x - 2
We match zero:
2x-2 = 0
x = 2/2
x = 1
We evaluate the function for x = 1
h (1) = (1)2 - 2 (1) - 8
h (1) = 1 - 2 - 8
h (1) = -9
The vertex is:
(1, -9)
axis of symmetry of the function:
x = 1
Step-by-step explanation:
hope it helps