Answer:
PROBABILITY, P = 0.9999
Step-by-step explanation:
1) Going by the central limiting theorem:
z= (x⁻ - μ) /( б√n) Follows normal distribution with mean 0 and variance 1.
Where
x⁻= sample mean,
μ = population mean,
б = population standard deviation
n= sample size
The required probability is
P(z < 0.5/(0.4/√ 10)
=P(z < 3.95)
P = 0.9999
Thus, probability, P=0.9999
You don't flip; you cross multiply proportions
Answer:
The rectangle has a width of 18 inches and a height length of 8 inches.
Step-by-step explanation:
The perimeter of a rectangle is described by the equation:

where <em>l</em> is width, <em>h</em> is height, and <em>p</em> is perimeter.
We're also told that the total perimeter is 52 inches.
We're also told that the length is six inches less than three times the width. We can express that as
.
We can plug that definition of w into the perimeter equation to find the length:

Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:

So the width is 18
That is impossible.
For a number to be divisible by 23, it has to be greater than 23.
A number cannot be greater than 23, if you have restricted it to be within the numbers 2 and 10.
We are given dimensions of model and actual figure.
model: 9.5cm actual : 30.5m.
We need to find the length of actual shape for the scale factor 5cm.
Let us assume actual length be x m.
Let us set a proportion now.
<h3>5 : x = 9.5 : 30.5</h3>
Let us convert proportion into fractions.

On cross multiplying, we get
9.5x = 5× 30.5
9.5x = 152.5.
On dividing both sides by 9.5, we get

x=16.05.
<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>