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NISA [10]
2 years ago
4

Nima bought 10.5 yards of string for herself and 2 friends to share equally for an art project. Each project will use 3.6 yards

of string. Complete the statement about the art projects.
Mathematics
1 answer:
polet [3.4K]2 years ago
4 0

Answer:

They need 10.8 yards, so they are missing 0.3 yards.

Step-by-step explanation:

When we multiply 3.6 by 3( because there are 3 students) we got 10.8

They have 10.5.

They need 0.3 more.

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Ritu started a business and borrowed a certain sum at 14% per annum for 1 year, the interest being compounded semi annually. If
liubo4ka [24]

Use the formula A = p( 1 + x)^n.

A = 1831.84(1 + 0.14)^6

You can finish.

5 0
2 years ago
A 0.2-kilogram red ball is thrown horizontally at a speed of 4 meters per second from a height of 3 meters. A 0.4-kilogram green
Stolb23 [73]

Answer:

option (C) the same

Step-by-step explanation:

In the given question , it is mentioned that the ball of mass 0.2 kilograms is thrown with the velocity of 4 m/s in the horizontal direction

and, the 0.4 kilogram green ball is thrown in the horizontal direction with the velocity of 8 m/s

Here in both the cases no component of velocity in the vertical direction is provided.

Hence, it will be a case of free fall in the vertical direction.

Now,

from Newton's equation of motion, we have

s=ut+\frac{1}{2}at^2

here,  

s is the distance

a is the acceleration

t is the time

in the above equation, mass has no role and the value of acceleration i.e acceleration due to gravity and distance of fall in the vertical direction is same.

Hence, the time taken for both the balls will be same.

Hence,

The correct answer is option (C) the same

7 0
2 years ago
Alice and Bob each choose at random a number between zero and two. We assume a uniform probability law under which the probabili
Mnenie [13.5K]

Answer / Step-by-step explanation:

Before we start to answer this question, it would be nice to understand some basic definition and principles:

Random: This refers to an unpredictable pattern of arrangement.  Without a specific aim or logical procedural pattern.

Uniform Probability distribution: This is a type of probability distribution in which the outcomes of distribution irrespective of the pattern or distance results in equally likely outcomes.

Uniform distribution is one of the widely used distributions although it's one of the simplest ones. The idea behind this distribution is that, unlike the other distributions, the likelihood of the any outcome in the distribution range is the same.

Now that we have a brief knowledge of the key terms within the question, hence, to start answering the question,

(a) Starting with 0 for Alice, Bob can choose any number starting from   1 /  3 . As Alice increases, Bob has to increase his starting point as well. Therefore, after Alice passes  1 /  3 , Bob can start choosing numbers from 0. This creates 2 triangles with sides  1  / 3 . The area of them gives us the probability.

Therefore, : P = 2 ( 1/3 1/3 1/3)

                        = 4/9

(b) We can find the probability of having both the numbers less than  1  / 3 . Then we subtract this probability from 1.

We have: P = 1 - 1/3 . 1/3

                     = 8/9

(c) This is basically impossible as the area of a dot is negligible.

(d) It means that Alice needs to select a number between  1  / 3  and 1.

Therefore: P = 1 - 1 /3

                    = 2 / 3

8 0
2 years ago
Solve for x. 3x-r=r(-3+x)
Alexeev081 [22]
3x-r=r (-3+x)
3x-r=-3r+xr
3x-r+r=-3r+xr+r
3x=-2r+xr
3x-xr=-2r+xr-xr
3x-xr=-2r
x (3-r)=-2r
x (3-r)/(3-r)=-2r/(3-r)
x=-2r/(3-r)
7 0
2 years ago
A hot dog stand sells hot dogs for $3 each, but each hot dog costs $1.50 to make. Each month, the hot dog stand pays $800 in ren
Serggg [28]

Answer:

$2680

Step-by-step explanation:

3.00-1.50= 1.50 profit per hotdog

1200+800=2000 expenses

1.50 (3120) = 4680

4680-2000=

2680 in profit

8 0
2 years ago
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