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3 years ago

Find the area of the shape shown below. NEED HELP ASAPPPPPPPPP

Mathematics

1 answer:

Fittoniya [83]3 years ago

7 0

Answer: A = 7 unit^2

Explanation:

First let’s cut the shape into 1 square and 1 trapezoid.

After that we can calculate the 2 polygons individually

Find area of square:

A = 2 x 2 = 4

Find area of trapezoid:

A = (2 + 1)2/2 = 3

Find area of the whole shape

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The random variable X~(30,2^2) Find p(X<33) Find p(X>26)

Ostrovityanka [42]

Answer:

i) P(X<33) = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

Step(ii):-

Given that the random variable X = 33

$Z = \frac{x-mean}{S.D}$

$Z = \frac{33-30}{2} = 1.5$ >0

P(X<33) = P( Z<1.5)

= 1- P(Z>1.5)

= 1 - ( 0.5 - A(1.5))

= 0.5 + 0.4232

P(X<33) = 0.9232

Step(iii) :-

Given that the random variable X = 26

$Z = \frac{x-mean}{S.D}$

$Z = \frac{33-26}{2} = 3.5$ >0

P(X>26) = P( Z>3.5)

= 0.5 - A(3.5)

= 0.5 - 0.4990

= 0.001

P(X>26) = 0.001

5 0

3 years ago

in order to prepare for building a brick patio, a rectangle measuring 8 feet by 10 feet must be marked off, then the dirt dug ou

Gala2k [10]

The sand makes up a rectangular prism of dimensions 8' by 10' by 0.5'.

The volume of sand is then V = L*W*H, or V = (10')(8')(0.5') = 40 cubic ft.

5 0

3 years ago

What fractions are equivalent to 28/32

marin [14]

The answer is 7/8. 28/4 = 7, 32/4=8.

7 0

3 years ago

Read 2 more answers

In a laboratory, they were testing a certain bacteria. They stated with 50 bacteria and they noticed it triples every 30 minutes

MaRussiya [10]

I think it’s just 4(50•3)=600

4 0

3 years ago

Suppose n(x)= 22 and n(y) is 13 what is the maximum number of elements X ∪Y can have ?

Nikolay [14]

The inclusion/exclusion principle states that

$|X\cup Y|=|X|+|Y|-|X\cap Y|$

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).

Therefore, $|X\cup Y|$ will have the most elements when the sets $X$ and $Y$ are disjoint, i.e. $X\cap Y=\emptyset$ , which would mean the most we can can in this case would be

$|X\cup Y|=|X|+|Y|=22+13=35$

(Note that $n(X)=|X|$ denotes the cardinality of the set $X$ .)

3 0

3 years ago