Answer:
Step-by-step explanation:
Hello!
The definition of the Central Limi Theorem states that:
Be 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.
X[bar]≈N(μ;σ²/n)
If the variable of interest is X: the number of accidents per week at a hazardous intersection.
There is no information about the distribution of this variable, but a sample of n= 52 weeks was taken, and since the sample is large enough you can approximate the distribution of the sample mean to normal. With population mean μ= 2.2 and standard deviation σ/√n= 1.1/√52= 0.15
I hope it helps!
Answer:
The best way to know weather the formula y=x⁴-4x³+3x² is growing or not, is by graphing it.
As you can see in the attached picture:
- For -inf<x< 0 the graph decreases.
- For 0<x<0.634 the graph is growing
- For 0,634<x<2.366 the graph decreases
- For 2.366<x<+inf the graph is growing.
Therefore, the polynomial grows in the intervals stated before.
We know that
density=mass/volume
solve for mass
mass=density*volume
step 1
find the area of the garage door in cm²<span>
Area=300*700------> 210000 cm</span>²
step 2
find the volume of the paint
Volume=area*thick
thick=1 mm-----> 0.1 cm
Volume=210000*0.1-----> 21000 cm³
step 3
find the mass
mass=density*volume
density=1.2 g/cm³
volume=21000 cm³
mass=1.2*21000-----> 25200 grams
the answer is
25200 grams
Answer:
70 percent
Step-by-step explanation:
Find how many acres were not planted with alfalfa by subtracting 27 from 90:
90 - 27
= 63
Find what percent this is by dividing it by 90:
63/90
= 0.7
So, 70 percent of the acres weren't planted with alfalfa.
Answer: A=70 square units
Step-by-step explanation:
The area of a triangle can be found using the formula 
Let 5=h and 7=b
Plug in the values and solve
However, since four of these triangles make up this rhombus, we can multiply the area of one of these triangles by four to find the area of the whole rhombus.
