<u>Answer </u><u>:</u>
This figure consists of two shapes that are a rectangle and a square . We will first find the area of rectangle then the square then add them . Let's work on this together ,
- Breadth of rectangle = 4 cm
- Length of rectangle = 4 + 5 + 3
- Length = 12 cm
- Area of rectangle = 12 × 4
- 48 cm²
Area of square ,
Total area of the figure ,
Answer:
-7
Step-by-step explanation:
30-16= -5n +3n
14 = -2n
multiplying both by half,u have -
7 = -n
multiply both by -1
7 = n
Answer:
Amount = p( 1+r/100) ^n
= 12000 ( 1+10/100) ²
= 12000( 10/10+1/10) ²
= 12000( 11/10) ²
= 12000 x 11/10 x 11/10
= 14520 rs.
Compund interest = amount - principal
= 14520 - 12000
= 2520rs.
Next question :- no of men can complete a piece of work in 7 days = 36
No of men can complete a piece of work in 42 day = ( 36 x 7 ) ÷ 42
= 252 ÷ 42
= 6 men
Answer:
The correct option is a
Step-by-step explanation:
From the question we are told that
The population mean is ![\mu = 30\ seconds](https://tex.z-dn.net/?f=%5Cmu%20%3D%2030%5C%20seconds)
The standard deviation is ![\sigma = 3 \ seconds](https://tex.z-dn.net/?f=%5Csigma%20%3D%203%20%5C%20seconds)
The sample size is n = 9
The null hypothesis is ![H_o: \mu = 30](https://tex.z-dn.net/?f=H_o%3A%20%5Cmu%20%20%3D%2030)
The alternative hypothesis is ![H_a : \mu \ne 30](https://tex.z-dn.net/?f=H_a%20%20%3A%20%20%5Cmu%20%5Cne%2030)
The level of significance is ![\alpha = 0.01](https://tex.z-dn.net/?f=%5Calpha%20%3D%200.01)
The sample mean is ![\= x = 31.2](https://tex.z-dn.net/?f=%5C%3D%20x%20%3D%2031.2)
Generally the test statistics is mathematically represented as
![z = \frac{ \= x - \mu }{ \frac{\sigma}{\sqrt{n} } }](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%20%5C%3D%20x%20-%20%5Cmu%20%7D%7B%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
=> ![z = \frac{ 31.2 - 30}{ \frac{3}{\sqrt{9} } }](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%2031.2%20-%2030%7D%7B%20%5Cfrac%7B3%7D%7B%5Csqrt%7B9%7D%20%7D%20%7D)
=> ![z = 1.2](https://tex.z-dn.net/?f=z%20%3D%201.2)
From the z table the area under the normal curve to the right corresponding to 1.2 is
![P(Z > 1.2) = 0.11507](https://tex.z-dn.net/?f=P%28Z%20%3E%20%201.2%29%20%3D%20%200.11507)
Generally the p-value is mathematically represented as
![p-value = 2 * P(Z > 1.2)](https://tex.z-dn.net/?f=p-value%20%3D%202%20%2A%20P%28Z%20%3E%20%201.2%29)
=> ![p-value = 2 *0.11507](https://tex.z-dn.net/?f=p-value%20%3D%202%20%2A0.11507)
=> ![p-value = 0.230](https://tex.z-dn.net/?f=p-value%20%3D%200.230)
From the value obtained w can see that
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is there is not enough evidence to support the claim
13-8= 5 comic books to begin with,
is that the problem?