Answer: -1.5
Step-by-step explanation:
When population standard deviation is known, then the formula to find the z-test statistic for population mean is given by :-

, where n= Sample size.
= Population mean
= Sample mean
= Population standard deviation.
As per given , we have
(average infants contracted typhoid each month)

n= 4 (No. of months)
Then , the value of the appropriate test statistic will be :




Hence, the value of the test statistic = -1.5
Answer: Simply - 5
Step-by-step explanation: Let's solve your equation step-by-step.
25+x2+10x=0
Step 1: Simplify both sides of the equation.
x2+10x+25=0
Step 2: Factor left side of equation.
(x+5)(x+5)=0
Step 3: Set factors equal to 0.
x+5=0 or x+5=0
x=−5
Answer:
p=28
Step-by-step explanation:
5p=140
To to find the value of p divide both sides by 5 (5p/5 and 140/5)
p=28!
Answer:
Width of rectangle = 6 m
Length of rectangle = 11 m
Step-by-step explanation:
Let width of rectangle = w
Length of rectangle = 3w-7
Area of rectangle = 66 m²
We need to find length and width of rectangle
The formula used is: 
Putting values and finding w

Solve using quadratic formula: 
We have a=3, b=-7, c=-66
Putting values and finding w

We get values of w as w=6 and w=-3.6
As we know width cannot be negative, so considering w = 6
So, Width = 6
Length = 3w-7 = 3(6)-7 = 18-7 = 11
So, Width of rectangle = 6 m
Length of rectangle = 11 m
Answer:
A n B = {6}
Step-by-step explanation:
Given he sets A = (even numbers less than 10) and B = (multiples of 3 greater than 3)
A = {2, 4, 6, 8}
B = {3, 6, 9, 12, 15...}
A n B includes the numbers are are common to both sets i.e number that we can find in both A and B.
From the set given, we can see that the only number that exists in both set is 6, hence;
A n B = {6}