Answer:
Step-by-step explanation:
<u>Let the number be x:</u>
- 2x = 5x + 12
- 2x - 5x = 12
- -3x = 12
- x = -4
It is -4
Answer:
C. No, more than one output value x is assigned to the input y-value
Step-by-step explanation:
Given
х у
-3 -2
3 6
0 7
1 7
2 4
3 - 1
Required
State if the table shows x as a function of y
x being a function of y means

i.e. x represents the output while y represents the input of the function
Note that each value of y (input) must be assigned to separate values of x (output) for a function to be established
Having said;
Next step: We have to examine the x and y column
In the y column, the value 7 occurred twice (as shown below)
<em>х у
</em>
<em>0 7
</em>
<em>1 7
</em>
<em />
This implies that;
Input 7 gives output of 0 and 1.
<em>Hence, this is not a function.</em>
<em>Option C answers the question.</em>
Answer:
We are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%
Step-by-step explanation:
-From the given information,
.
-We calculate the confidence interval using this value at 95% confidence level:
![CI=\hat p\pm z \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\\\=0.65\pm 1.96\times \sqrt{\frac{0.65\times 0.35}{12000}}\\\\\\=0.65\pm 0.0085\\\\\\=[0.6415,0.6585]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20z%20%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%29%7D%7Bn%7D%7D%5C%5C%5C%5C%5C%5C%3D0.65%5Cpm%201.96%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.65%5Ctimes%200.35%7D%7B12000%7D%7D%5C%5C%5C%5C%5C%5C%3D0.65%5Cpm%200.0085%5C%5C%5C%5C%5C%5C%3D%5B0.6415%2C0.6585%5D)
So, the 95% confidence interval is (0.6515,0.6585).
Hence, we are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%.
Answer:
I did not understand its confusing
Answer:
D
Step-by-step explanation:
We know that vector addition is scalar addition.
Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>
2v = < -2.5, 4.5>
2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >
2v-u = < 1 , 6 >
This vector is basically i + 6j which is drawn in option D