The answer to the question is ORTHOCENTER. The altitude is the line that connects the vertex of a triangle to the opposite side making a 90 degrees with it. Thus, the use of the prefix ortho- for the points where the three altitudes meet.

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3 years ago

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In a certain country, the true probability of a baby being a girl is 0.469. Among the next seven randomly selected births in th

-BARSIC- [3]

Answer:

The probability is 0.995 ( approx ).

Step-by-step explanation:

Let X represents the event of baby girl,

The probability of a baby being a girl is, p = 0.469,

So, the probability of a baby who is not a girl is, q = 1 - 0.469 = 0.531,

Also, the total number of experiment, n = 7

Thus, by the binomial distribution formula,

$P(x)=^nC_x(p)^x q^{n-x}$

Where, $^nC_x=\frac{n!}{x!(n-x)!}$

The probability that all babies are girl or there is no baby boy,

$P(X=7)=^7C_7(0.469)^7(0.531)^{7-7}$

$=0.00499125661758$

Hence, the probability that at least one of them is a boy = 1 - P(X=7)

= 1 - 0.00499125661758

= 0.995008743382

≈ 0.995

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3 years ago

The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its width, write an equation th

Ahat [919]

The following equation can be used to calculate the width, w, of the rectangle with the specified area: 2w²- w - 91 = 0.

<h3>What is a Rectangle's Area?</h3>

rectangle area = length width

Multiply the length by the width to obtain the area of a rectangle. The formula is as follows: A = L * W where A is the area, L denotes the length, W denotes the width, and * denotes multiplication. where A denotes area, s denotes side length, and implies multiply.

Given,

Rectangle area = 91 in.

2 w = width

The rectangle's length equals 2w - 1.

Using the area formula, the equation for calculating w would be: (2w - 1)(w) = 91.

2w² - w - 91 = 0

As a result, the equation for determining the width, w, of the rectangle with the specified area is: 2w² - w - 91 = 0.

To know more about area, visit:

brainly.com/question/20693059

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1 year ago