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Ksju [112]
3 years ago
6

If a couple plans to have 7 ​children, what is the probability that there will be at least one girl​? Assume boys and girls are

equally likely. Is that probability high enough for the couple to be very confident that they will get at least one girl in 7 ​children?
Mathematics
1 answer:
Kisachek [45]3 years ago
6 0
<h2>Answer with explanation:</h2>

Given : The number of children a family plans to have = 7

If the boys and girls are equally likely, then the probability of getting a girl = probability of getting boy = \dfrac{1}{2}=0.5

Now, the probability  that there will be at least one girl​ will be:-

P(atleast one girl) = 1- P(all boys)

=1-(\dfrac{1}{2})^7\\\\=1-0.0078125\\\\=0.9921875

Hence, the probability that there will be at least one girl​ = 0.9921875

Since ,0.9921875 > 0.5  

It means the event is likely to happen.   [∵Any event E is likely to happen if P(E)>0.5]

Therefore, the probability is high enough for the couple to be very confident that they will get at least one girl in 7 ​children.

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A dog trainer has 96 ft of fencing that will be used to create a rectangular work area. Encloses area of 320 ft^2. What will be
Anastaziya [24]

Answer:

<em>The dimensions of the area will be 8 ft x 40 ft</em>

Step-by-step explanation:

<u>Area and Perimeter</u>

The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows

A=wl

P=2w+2l

The dog trainer has 96 ft of fencing to cover a 320 ft^2 rectangular area. This means that

wl=320

2w+2l=96

A system of equations is formed

\left\{\begin{matrix}wl=320\\ 2w+2l=96\end{matrix}\right

We divide the last equation by 2

w+l=48

solve for w

w=48-l

Replacing in the first equation

(48-l)l=320

Operating and arranging

l^2-48l+320=0

(l-8)(l-40)=0

We have two possible answers

l=8,\ l=40

Which gives us

w=40,\ w=8

In any case, the dimensions of the area will be 8 ft x 40 ft

6 0
3 years ago
Which function equation is represented by the graph. a) f(x) = 50(1.5)^x B) f (x) =50(1.8)^x. C) f(x) = 50(2.8)^x D) f(x) = 50(2
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Answer:

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Step-by-step explanation:

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Special taxes may be placed on an estate.<br> true<br> or<br> false
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Step-by-step explanation:

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ollegr [7]
<h2>Hello There today we will solve your problem</h2>

<em>Response-</em>

<em>ABC is absolutely a right triangle</em>

<em>we can use the pythagorean theorem to solve this</em>

<h3><em>Definitions</em></h3>

Right Triangle - <em>A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle. The relation between the sides and other angles of the right triangle is the basis for trigonometry. The side opposite to the right angle is called the hypotenuse.</em>

Pythagorean Theorem - <em>In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.</em>

<em>_________________</em>

<em>To use to the Pythagorean Theorem it is</em>

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For our equation A would be 12 B would be 5

<em>_________________</em>

<h2><em>Solve</em></h2>

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