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katen-ka-za [31]
3 years ago
9

25/80 in simplest form

Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0
Find the Greatest Common Factor of both numbers which is 5. Then divide the numerator by 5 and the denominator by 5 and you will get 5/16 as the simplest form
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Use the given values of n and p to find the minimum usual value μ−2σ and the maximum usual value μ+2σ. Round to the nearest hund
lbvjy [14]

Answer:

μ−2σ = 1,089.26

μ+2σ = 1,097.62

Step-by-step explanation:

The standard deviation of a sample of size 'n' and proportion 'p' is:

\sigma=\sqrt{\frac{p*(1-p)}{n} }

If n=1139 and p =0.96, the standard deviation is:

\sigma=\sqrt{\frac{p*(1-p)}{n}}\\\sigma = 0.001836

The minimum and maximum usual values are:

\mu-2\sigma = (p-2\sigma)*n\\\mu+2\sigma = (p+2\sigma)*n

\mu-2\sigma = (0.96-2*0.001836)*1139\\\mu-2\sigma = 1,089.26\\\mu+2\sigma = (0.96+2*0.001836)*1139\\\mu+2\sigma = 1,097.62

5 0
3 years ago
Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h
shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as  length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

<em>Consider a ΔABC be the play ground vertex of playground,</em>

<em>And AB and BC be the sides making right angle.</em>

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

<em>For Rectangle dimensions,</em>

<em>We know that if same sized triangles composes each other forms a rectangle</em>.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it  to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

5 0
3 years ago
In the following exercises, multiply the binomials. Use any method.<br> 241. (x + 8)(x + 3)
Lelu [443]

Answer:

Hence the expression $(x+8)(x+3)=x^{2}+11 x+24$.

Step-by-step explanation:

- The given expression is (x+8)(x+3).

- We have to multiply the given expression.

- Multiply the (x+8) by 3 , multiply the (x+8) by x then add like terms.

$$\begin{array}{r}x+8 \\\underline {\times \quad x+3} \\3 x+24 \\\underline {x^{2}+8 x+24} \\x^{2}+11 x+24\end{array}$$

5 0
2 years ago
A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume 320π of cubic feet. What is the
8090 [49]
To solve for radius use the volume formula and solve for r.

V = πr²h
320π = πr²(20)
320π/π = 20r²
320 = 20r²
320/20 = r²
16 = r²
√16 = r
4 = r

Answer is D. 4 feet.

Hope this helps :)

7 0
3 years ago
Read 2 more answers
Determine which cross products are proportionate to each other. Select all situations that apply.
Gemiola [76]
3/8y = 9/24 since 3*3=9 and 8*3=24
4 = 64/16 since 16*4=64
3z/x = 9z/3x since 3z*3=9z and x*3=3x
3 0
3 years ago
Read 2 more answers
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