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mel-nik [20]
2 years ago
11

The sixth grade art students are making a mosaic using tiles in the shape of right triangles. Each tile has leg measures of 3 ce

ntimeters and 5 centimeters. If there are 200 tiles in the mosaic, what is the area of the mosaic?
Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
8 0
Area of a Triangle = 0.5 x Base x Height 
 
Therefore the area of one mosaic triangle = 0.5 x 3 x 5 = 7.5

So the area of the whole mosaic is : 7.5 x 200 = 1500cm^2 
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to estimate the number of bison in the area, researchers put marks on 160 bison later on a flight over the area the researchers
Dvinal [7]
Its either -126 or 160
5 0
2 years ago
A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the number
serg [7]

Answer:

The probability distribution is

X    :        0              1                 2

f(X) :       2/7          4/7               1/7

Step-by-step explanation:

Let x is the number of defective sets purchased by the hotel.

Total number of television sets = 7

Total number of defective television sets = 2

Since there are 2 defective television sets and hotel purchase 3 sets, So, X=0,1,2.

If X=0,

P(X=0)=\frac{^5C_3}{^7C_3}=\frac{10}{35}=\frac{2}{7}

If X=1,

P(X=1)=\frac{^5C_2\cdot ^2C_1}{^7C_3}=\frac{10\cdot 2}{35}=\frac{4}{7}

If X=2,

P(X=2)=\frac{^5C_1\cdot ^2C_2}{^7C_3}=\frac{5\cdot 1}{35}=\frac{1}{7}

The probability distribution is

X    :        0              1                 2

f(X) :       2/7          4/7               1/7

The probability histogram is shown below.

3 0
2 years ago
Explain how to estimate 368+231 in two different ways
Dennis_Churaev [7]
400+200 or add 368+231= 599 and you round your answer, woulb be 600
6 0
2 years ago
Read 2 more answers
The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
2 years ago
You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock incr
Angelina_Jolie [31]

Answer:

5,340

Step-by-step explanation:

Hi there:)

Amount invested in stock

=5000×0.6=3000

Amount invested in a saving account

5000-3000=2000


The stock increases 9% in the first year

3,000×(1+0.09)=3,270

and loses 4% of its value the second year

3,270×(1−0.04)=3,139.2

Amount of a saving account after two years

2,000×(1+0.049)^(2)=2,200.8


the total amount gained during the 2 years

3,139.2+2,200.8=5,340...answer


Hope it helps




8 0
2 years ago
Read 2 more answers
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