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kakasveta [241]
3 years ago
15

The sum of three consecutive odd integers is 33 what are the integers

Mathematics
1 answer:
Molodets [167]3 years ago
4 0

The numbers would be 9, 11, and 13.

Hope this helps!

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Which of the following statements about “vesting periods” is TRUE?
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What are the statements ?
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3 years ago
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the d
Sergio [31]

Solution :

It is given that :

P (positive | Has disease) = 0.7

P (positive | No disease) = 0.08

P (has disease) = 0.18

P (No disease) = 1 - 0.18

                        = 0.82

Now if test administered to the individual is positive, the probability that the person actually have the disease is

P (Has disease | positive)  $=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$  ......(1)

The P(positive) is,

$P(\text{positive}) = P(\text{positive} \cap \text{Has disease})+P(\text{positive} \cap \text{No disease})$

                = P(positive | has disease) x P(Has disease) + P(positive | no disease) x P(No disease)

                 = 0.7 (0.19) + 0.04 (0.81)

                = 0.1654

Now substituting the values in the equation (1), we get

P (Has disease | positive)  $=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$  

                                           $=\frac{0.7(0.19)}{0.1654}$

                                          = 0.8041  

5 0
3 years ago
Let x represent the side length of a square. Find a regular polygon with side length x whose perimeter is twice the perimeter of
padilas [110]

Answer:

Step-by-step explanation:t55

An octagon has 8 sides. If each of them has a length of x, then the perimeter is 8x which is twice the perimeter of the square. (The square has a perimeter of 4x)

A dodecagon is a 12 sided regular polygon. It will have 12 sides all of which are equal to x. Since the square has a perimeter of 4x and the dodecagon has a perimeter of 12x the perimeter of the dodecagon is 3 times that of the given square.

7 0
3 years ago
Solve for x. Round to the nearest hundredth.
zlopas [31]

<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°

The length of the one leg of the triangle is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

sin \ \theta=\frac{opp}{hyp}

Substituting the values, we get;

sin \ 42^{\circ}=\frac{x}{8}

Multiplying both sides of the equation by 8, we get;

sin \ 42^{\circ}\times8=x

Simplifying, we get;

0.669 \times 8=x

      5.352\approx x

Therefore, the value of x is 5.35(app.)

Hence, Option A is the correct answer.

8 0
4 years ago
y = 4x + 3 y = - 1 4 x - 5 What is the BEST description for the lines represented by the equations? A) horizontal B) intersectin
storchak [24]
It is B. Because perpendicular is opposite reciprocal
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Read 2 more answers
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