Answer:
A) 24
Step-by-step explanation:
Total weight - loaded weight = space remaining in the trailer: 1050kg - 82kg = 968kg
space remaining ÷ the number of transport: 968 ÷ 40 = 24.2 OR 24
Hope it helps you
The value of the expression in the form a(x+b)^2 is 1.5(x+2)^2 - 4
<h3>Vertex Form of a quadratic expression</h3>
Given the quadratic expressions
1.5x^2+6x+......
1.5(x^2 + 4x)
Using the completing the square method
The coefficient of x = 4
Half of the coefficient = 4/2 = 2
The square of the result = 2^2 = 4
The equation is expressed as:
f(x) = 1.5(x^2+4x+ 4) - 4
f(x) = 1.5(x+2)^2 - 4
Hence the value of the expression in the form a(x+b)^2 is 1.5(x+2)^2 - 4
Learn more on completing the square method here: brainly.com/question/1596209
Answer:
A sample size of 79 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
The margin of error is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?
A sample size of n is needed.
n is found when M = 0.09. So
Rounding up to the nearest whole number.
A sample size of 79 is needed.
Answer:
the number is 31.2
Step-by-step explanation:
Given that:
1/2x-19.7=-4.1
Adding 19.7 on both sides:
1/2x-19.7 + 19.7=-4.1 + 19.7
1/2x = 15.6
Multiplying both sides by 2:
x = 15.6 * 2
x = 31.2
So the number is 31.2
i hope it will help you!
