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LekaFEV [45]
3 years ago
7

Sarah has gone four weeks. Micah has been recording the daily high temperature. During that time, the high temperature has been

greater than 45F on 20 out of 28 days. What is the experimental probability that the high temperature will be below 45F on the twenty-ninth day?
Mathematics
1 answer:
pickupchik [31]3 years ago
8 0
The experimental probability that the high temp will be below 45 F on the 29th day is, 4.5 out of 29 days, that is because 20 of the days have had lower temperatures, so they left 9 days of and from those 9 days, they could be lower or greater that 45F (50% each side), that is:
4.5/29 = 0.155 = 15.5%
that is the exp probability
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What is the perimeter of △ABC?
timofeeve [1]
<h3>Given</h3>
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  • A(-3, -1), B(0, 3), C(1, 2)
<h3>Find</h3>
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<h3>Solution</h3>

The perimeter of a triangle is the sum of the lengths of its sides. The length of each side can be found using the Pythagorean theorem. Effectively, each pair of points is treated as the end-points of the hypotenuse of a right triangle with legs parallel to the x- and y-axes. The leg lengths are the differences betweeen the x- and y- coordinates of the points.

The difference of the x-coordinates of segment AB are 0-(-3) = 3. The y-coordinate difference is 3-(-1) = 4. So, the leg lengths of the right triangle whose hypotenuse is segment AB are 3 and 4. The Pythagorean theorem tells us

... AB² = 3² +4² = 9 +16 = 25

... AB = √25 = 5

You may recognize this as the 3-4-5 triangle often introduced as one of the first ones you play with when you learn the Pythagorean theorem.

LIkewise, segment AC has coordinate differences of ...

... C - A = (1, 2) -(-3, -1) = (4, 3)

These are the same leg lengths (in the other order) as for segment AB, so its length is also 5.

Segment BC has coordinate differences ...

... C - B = (1, 2) -(0, 3) = (1, -1)

The length of the line segment is figured as the root of the sum of squares, even though one of the coordinate differences is negative. The leg lengths of the right triangle used for finding the length of BC are the absolute value of these differences, or 1 and 1. Then the length BC is

... BC = √(1² +1²) = √2 ≈ 1.4

So the perimeter of the triangle ABC is

... AB + BC + AC = 5 + 1.4 + 5 = 11.4 . . . . perimeter of ∆ABC in units

_____

Please be aware that the advice to "round each step" is <em>bad advice,</em> in general. For real-world math problems, you only round the final result. You always carry at least enough precision in the numbers to ensure that there will not be any error in the final rounding.

In this problem, the only number that is not an integer is √2, so it doesn't really matter.

7 0
3 years ago
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Alecsey [184]

Answer:

-38.4

Step-by-step explanation:

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4 0
2 years ago
How much would $500 invested at 9% interest compounded annually be
Ray Of Light [21]

Answer:

I think 705.79 if I did it right

Step-by-step explanation:

500(1+.09/1)^4 = 705.79

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2 years ago
The area of a rectangle field is 1710 square feet. The length of the field is 45 feet. What is the width of the field?
andreev551 [17]

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8 0
3 years ago
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Hmm, (x,y)
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so translatete ABC left 2 and down 5 and
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2nd and 3rd
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3 years ago
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