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2 years ago

a meteorologist says that the probability of snow today is 45% what is the probability that will not snow

Mathematics

1 answer:

WINSTONCH [101]2 years ago

5 0

Answer:

55%

Step-by-step explanation:

probability of something happening = p

probability of that thing not happening = 1 - P

45%= 45/100= 0.45

therefore, the probability of snow today = 0.45

therefore,

probability there will be no snow=1 - 0.45 = 0.55

probability there will be no snow= 0.55

convert 0.55 back to percentage= 0.55×100= 55%

probability there will be no snow= 55%

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You are going to mow your neighbor's lawn for some extra money. Below is a scale drawing of their lawn, where each square repres

Colt1911 [192]

9514 1404 393

Answer:

rectangle; parallelogram with 90° angle
150 feet
$40 flat rate

Step-by-step explanation:

1. The slope of AB is ...

mAB = (yB-yA)/(xB-xA) = (4-0)/(6-3) = 4/3

The slope of AD is ...

mAD = (yD-yA)/(xD-xA) = (6-0)/(-5-3) = 6/-8 = -3/4

The product of these slopes is (4/3)(-3/4) = -1, so the segments AB and AD are perpendicular.

The midpoints of AC and BD will be the same if the sum of their coordinates is the same:

A+C = (3, 0) +(-2, 10) = (1, 10)

B+D = (6, 4) +(-5, 6) = (1, 10)

The midpoints of the diagonals of ABCD are the same, so the figure is a parallelogram. One corner angle is 90°, so the parallelogram is a rectangle. The quadrilateral ABCD is a rectangle.

2. Using the coordinate differences found in part 1, we know the length AB is the hypotenuse of a 3-4-5 triangle, so is 5 grid squares. Similarly, the length of AD is twice that length, so is 10 grid squares. The perimeter in grid squares is ...

P = 2(L+W) = 2(10+5) = 30 . . . . grid squares

Each grid square represents 5 ft, so the perimeter is ...

(30 squares)(5 ft/square) = 150 ft . . . perimeter

3. The rectangle is 5 × 10 grid squares, or 25 × 50 ft. Then its area is ...

A = LW = (50 ft)(25 ft) = 1250 ft²

At $0.03/ft², the payment for mowing would be ...

($0.03/ft²)(1250 ft²) = $37.50

The $40 flat rate would make you the most money.

5 0

3 years ago

A middle schooler took all the 6th grader on a field trip to see ballet. The students filled up 570 seats, which was 95% of the

Musya8 [376]

The total number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.

Step-by-step explanation:

The given is,

Seats filled by students are 570 seats

Which is 95% of the total number of seats in the theater

Step: 1

Let, x - Total number of seats available in theater

Percentage of seats filled, y= 95%

Seats filled by students = 570

Formula to calculate total number of seats in theater,

95% of seats $= \frac{95}{100}( x)$