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2 years ago

6

James wants to send two gifts by mail. One package weighs 2 3/4 pounds. The other package weighs 1 3/4 pounds.What is the total

packages

1 answer:

andrezito [222]2 years ago

6 0

2 3/4=11/4
1 3/4=7/4
11/4+7/4=18/4....18(2)/4(2)=9/2.......4 1/2

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. The mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days. Suppose that the incubation ti

Paul [167]

Answer:

Step-by-step explanation:

Given that the mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days.

Let X be the incubation time for a type of fertilized egg kept at a certain temperature is 25 days.

X is N(25, 1)

a) Normal curve is in the attached file

b) the probability that a randomly selected fertilized egg hatches in less than 23 days

= $P(X$

we convert x into Z score and use std normal distn table to find probability

$P(X$

i.e. we can say only 2.5% proportion will hatch in less than 23 days.

8 0

2 years ago

Two classes have a total of 50 students. One class has 6 more students than the other. How may students are in the larger class

givi [52]

Subtract 6 from 50:
50-6 = 44
Divide 44 by 2:
44/2 = 22

add 6:

22+6 = 28

There is 22 in the smaller class and 28 in the larger class.

5 0

2 years ago

The vertices of ABC are A(-2,2), B(6,2), and C(0,8). The perimeter of ABC

german

Answer:

The perimeter of the triangle ABC is 22.8 units

Step-by-step explanation:

* Lets study the information in the problem

- There is Δ ABC with vertices:

A (-2 , 2) , B (6 , 2) , C (0 , 8)

- The perimeter of the triangle is the sum of the length of its

three sides

* We must to find the lengths of AB , BC and CD

- The rule to find the distance between 2 points (x1 , y1) and (x2 , y2) is

√[(x2 - x1)² + (y2 - y1)²]

* Lets find the lengths of the three sides

- Length of AB

∵ A = (-2 , 2) and B = (6 , 2)

∴ AB = √[(6 - -2)² + (2 - 2)²] = √8² = 8 units

- Length of BC

∵ B = (6 , 2) and C = (0 , 8)

∴ BC = √[(0 - 6)² + (8 - 2)²] = √[6² + 6²] = √72 = 6√2 units

- Length of AC

∵ A = (-2 , 2) and C = (0 , 8)

∴ AC = √[(0 - -2)² + (8 - 2)²] = √[2² + 6²] = √40 = 2√10 units

* Now lets find the perimeter of the triangle

∵ The perimeter = AB + BD + AC

∴ The perimeter = 8 + 6√2 + 2√10 = 22.8 units

* The perimeter of the triangle ABC is 22.8 units

6 0

2 years ago

Read 2 more answers

A circle is inside a square. The radius of the circle is increasing at a rate of 5 meters per day and the sides of the square ar

wolverine [178]

Answer:

Area of the portion outside the circle but inside the square is reduced by 114 m² after the third day, reduced by 239.14284 in the fourth day.

Step-by-step explanation:

First day

Radius of the circle = 3 meters

Length of sides of the square = 21 meters

Area of the circle = π R2 = 22/7 x 32 = 28.285714 m²

Area of the square = L x B = 21 x 21 = 441 m²

Area of area outside the circle but inside the square = 412.71429 m²

Second day

Radius of the circle = 8 meters

Length of sides of the square = 25 meters

Area of the circle = π R2 = 22/7 x 82 = 201.14286 m²

Area of the square = L x B = 25 x 25 = 625 m²

Area of area outside the circle but inside the square = 423.85714 m²

Third day

Radius of the circle =13 meters

Length of sides of the square = 29 meters

Area of the circle = π R2 = 22/7 x 132 = 531.14286 m²

Area of the square = L x B = 29 x 29 = 841 m²

Area of area outside the circle but inside the square = 309.85714 m²

Fourth day

Radius of the circle =18 meters

Length of sides of the square = 33 meters

Area of the circle = π R² = 22/7 x 182 =1018.2857 m²

Area of the square = L x B = 33 x 33 = 1089 m²

Area of area outside the circle but inside the square = 70.7143 m²

From the second and third day, it can be noticed that the area of the portion outside the circle but inside the square is reducing changing by half.

6 0

2 years ago

Read 2 more answers

Chloe has enough sand to fill a sandbox with an area of 36 square units. She wants the outer edges of the sandbox to use as litt

tia_tia [17]

Answer:

6 units by 6 units

Step-by-step explanation:

The quadrilateral with the smallest perimeter for a given area is the square.

The square with area 36 square units has side lengths of √36 = 6 units.

4 0

2 years ago