Using the combination formula, it is found that 2,220,075 committees can be formed.
The order in which the people are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.
<h3>Combination formula:
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is the number of different combinations of x objects from a set of n elements, given by:
In this problem, 8 people are chosen from a set of 12 + 15 = 27, hence:
2,220,075 committees can be formed.
To learn more about the combination formula, you can take a look at brainly.com/question/25821700
The answer is 12/100. This is because the 12 is a 100 decimal place.
Answer:
- The submarine's position means the distance it traveled is greater than 24 feet
- A possible position of the submarine is -27 feet
Step-by-step explanation:
Distance is generally a positive number. (Displacement, or position may be negative, as in this case.) If the sub started at 0 feet and went lower than -24 feet, it traveled a distance of more than 24 feet (greater than 24 ft).
Of the numbers listed, the only one lower than -24 is -27.
Answer:
74°
Step-by-step explanation:
A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.
According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.
The remaining angle of the rhombus will be calculated as thus;
= 360° - (32°+32°)
= 360° - 64°
= 296°
This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°
This means that each obtuse angles of the rhombus will be 148°.
To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.
m° = 148°/2
m° = 74°
Hence the angle measure if m(1) is 74°
