The expressions which demonstrates the identity property of multiplication is; 25(1) = 25 option B
<h3>Identity Property</h3>
Identity Property of Multiplication states that any number multiplied by 1 does not change, that is, it is constant or remains the same
Check all options
25(0) = 25
0 = 25
Not true
25(1) = 25
25 = 25
True (identity property of multiplication holds)
25 + 0 = 25
25 = 25
True (Not identity property of multiplication)
25 + 1 = 25
26 = 25
Not true
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Answer: (0.504, 0.556)
Step-by-step explanation:
Given : Sample size : n= 1005
Number of adults stated that they were worried about having enough money to live comfortably in retirement = 531
Then the proportion of adults stated that they were worried about having enough money to live comfortably in retirement : ![p=\dfrac{531}{1005}\approx0.53](https://tex.z-dn.net/?f=p%3D%5Cdfrac%7B531%7D%7B1005%7D%5Capprox0.53)
Significance level : ![\alpha: 1-0.90=0.1](https://tex.z-dn.net/?f=%5Calpha%3A%201-0.90%3D0.1)
Critical value : ![z_{\alpha/2}=1.645](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.645)
The confidence interval for population proportion is given by :-
![p\pm\ z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.53\pm(1.645)\sqrt{\dfrac{0.53(1-0.53)}{1005}}\\\\\approx0.53\pm0.026\\\\=(0.504,\ 0.556)](https://tex.z-dn.net/?f=p%5Cpm%5C%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%5C%5C%5C%5C%3D0.53%5Cpm%281.645%29%5Csqrt%7B%5Cdfrac%7B0.53%281-0.53%29%7D%7B1005%7D%7D%5C%5C%5C%5C%5Capprox0.53%5Cpm0.026%5C%5C%5C%5C%3D%280.504%2C%5C%200.556%29)
Hence, the 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement = (0.504, 0.556)
Answer:
1) 114
2) 159
Step-by-step explanation:
2+8+5+9+90 = 114
3+45+111 = 159
Hope this helps.
Answer:
They have a scale factor of 2
They are both the same shape
The big circle has a radius of 4 and the small circle has a radius of 2. You divide the bigger circle by the smaller circle. 4/2=2