Answer:
The correct option is b) 4.71
Step-by-step explanation:
Consider the provided information.
Test statistic for proportion: ![z=\frac{\hat p-p}{\sqrt{\frac{pq}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B%5Chat%20p-p%7D%7B%5Csqrt%7B%5Cfrac%7Bpq%7D%7Bn%7D%7D%7D)
It is given that the claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n=800 deaths of the elderly with 15 percent of them attribute to residential falls.
Therefore,
, p = 0.1, q = 1-0.1 = 0.9 and n = 800.
Substitute the respective values in the above formula.
![z=\frac{0.15-0.1}{\sqrt{\frac{0.1\times0.9}{800}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B0.15-0.1%7D%7B%5Csqrt%7B%5Cfrac%7B0.1%5Ctimes0.9%7D%7B800%7D%7D%7D)
![z=\frac{0.05}{\sqrt{\frac{0.09}{800}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B0.05%7D%7B%5Csqrt%7B%5Cfrac%7B0.09%7D%7B800%7D%7D%7D)
![z\approx4.71](https://tex.z-dn.net/?f=z%5Capprox4.71)
Hence, the correct option is b) 4.71
The amount it is increasing by, 3 is added each time.
If you want to know the concept of square roots and cube roots ?
the square root of a number is that number which when multiplied by itself two times gives us that number
e.g.
√64 = x , so that (x)(x) = 64
and from our multiplication table we know that
(8)(8) = 64 , so that
√64 = 8
the cube root of a number is that number which when multiplied by itself three times gives us that number
e.g.
∛64 = x , so that (x)(x)(x) = 64 , and thus x = 4 because 4x4x4 = 64
so ∛64 = 4
Answer:
the answer is 2304
Step-by-step explanation:
8×8=64
64×36=2304
Answer:
12 boys
Step-by-step explanation:
From the above question:
Number of boys = 3
Number of girls = 2
Boys: Girls
3:2
Let :
a = boys
b = girls
Hence, a : b = 3 : 2
a/b = 3/2
Cross Multiply
2a = 3b .......... Equation 1
a = 3b/2
If four more girls join the class, there will be the same number of boys and girls
Hence,
a: b + 4 = 3 : 3
a/b + 4 = 3/3
Cross Multiply
3a = 3(b + 4)
3a = 3b + 12 ........ Equation (2)
From Equation 1: a = 3b/2
Substitute 3b/2 for a in Equation 2 we have:
3a = 3b + 12 .........Equation 2
3(3b/2) = 3b + 12
9b/2 = 3b + 12
Cross Multiply
9b = 2(3b + 12)
9b= 6b + 24
9b - 6b = 24
3b = 24
b = 8
Substitute 8 for b in Equation 1
a = 3b/2
a = 3 × 8/2
a = 24/2
a = 12
Therefore, the number of boys in the class is 12