Answer:
9a+6b
Step-by-step explanation:
4a+7b+5a-b
First figure out the a's 4a + 5a = 9a
Then do b's (Remember, if there is no number by the letter then it is 1)
7b - 1b = 6b
So for this to be simplified the answer is 9a+6b
4(100)=400
400/1=400
You will need 400 stakes
Answer:
Step-by-step explanation:
Hello!
For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.
In this example the variable is:
X: height of a college student. (cm)
There is no information about the variable distribution. To estimate the population mean you need a variable with at least a normal distribution since the mean is a parameter of it.
The option you have is to apply the Central Limit Theorem.
The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.
As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.
The sample size in this exercise is n=50 so we can apply the theorem and approximate the distribution of the sample mean to normal:
X[bar]~~N(μ;σ2/n)
Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:
98% CI
1 - α: 0.98
⇒α: 0.02
α/2: 0.01

X[bar] ± 
174.5 ± 
[172.22; 176.78]
With a confidence level of 98%, you'd expect that the true average height of college students will be contained in the interval [172.22; 176.78].
I hope it helps!
5*2x is 10x
5*3y is 15y
5*5z is 25z
Answer:
Volume is the amount of space an object occupies. To determine the volume of any rectangular object, multiply the measurements of length, width, and height.
Volume = Length × Width × Height
Calculate the volume of this rectangular object.
Length = 3 cm
Width = 3 cm
Height = 12 cm
Volume = l × w × h
Volume = 3 cm × 3 cm × 12 cm
Volume = 108 cm3
Notice that the units for volume are cubic centimeters (cm3).
So 8 ÷ 25 = 0.32 and the units would be g/ cm3 . Other units of density could be g/L or g/ml or mg/ cm3 or kg/ m3 and the list could go on and on. Any unit of mass divided by any unit of volume.
Step-by-step explanation:
hope this helpa