Answer:
108
HOPE THIS HELPS
-Todo<3
Step-by-step explanation:
4-112=x
108=x
Answer:
17
Step-by-step explanation:
15 + 2 is 17
Answer:
1) x²+4x=2700
2) 50x50
Step-by-step explanation:
Pony area = x²
line-up area=4x
x²+4x=2700
x²+4x-2700=0
(x-50)(x+54)
So x= 50 or -54. Since it can’t be a negative number, it must be 50.
CHECK:
Square = 50x50 = 2500
Line up area = 50x4 = 200
2500+200=2700 YES
Answer:
The sample size required is 910.
Step-by-step explanation:
The confidence interval for population proportion is:
![CI=\hat p\pm z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20z_%7B%20%5Calpha%20%2F2%7D%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%29%7D%7Bn%7D%20%7D)
The margin of error is:
![MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }](https://tex.z-dn.net/?f=MOE%3Dz_%7B%20%5Calpha%20%2F2%7D%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%29%7D%7Bn%7D%20%7D)
Given:
![\hat p = 0.16\\MOE= 0.02\\Confidence\ level =0.90](https://tex.z-dn.net/?f=%5Chat%20p%20%3D%200.16%5C%5CMOE%3D%200.02%5C%5CConfidence%5C%20level%20%3D0.90)
The critical value of <em>z</em> for 90% confidence level is:
*Use a standard normal table.
Compute the sample size required as follows:
![MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }\\0.02=1.645\times \sqrt{\frac{0.16(1-0.16)}{n} }\\n=\frac{(1.645)^{2}\times 0.16\times (1-0.16)}{(0.02)^{2}} \\=909.2244\\\approx910](https://tex.z-dn.net/?f=MOE%3Dz_%7B%20%5Calpha%20%2F2%7D%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%29%7D%7Bn%7D%20%7D%5C%5C0.02%3D1.645%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.16%281-0.16%29%7D%7Bn%7D%20%7D%5C%5Cn%3D%5Cfrac%7B%281.645%29%5E%7B2%7D%5Ctimes%200.16%5Ctimes%20%281-0.16%29%7D%7B%280.02%29%5E%7B2%7D%7D%20%5C%5C%3D909.2244%5C%5C%5Capprox910)
Thus, the sample size required is 910.
A) translation of 4 units down followed by a dilation with respect to the origin by a scale factor of 2