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2 years ago

Pls help asap for 13 pls and thank u

Mathematics

1 answer:

AysviL [449]2 years ago

8 0

Answer:
The answer is 35.5 square units

Step-by-step explanation:

The shape represents a rectangle, a small triangle removed from it at the upper right corner and a bigger triangle is attached to it at the upper left corner.

We get this formula:
A(shape) = A(rectangle) - A(small triangle) + A(big triangle)
SO LET'S FIND EACH!

A(rectangle)= length x width
length= 8 units
width= 4 units
We get:
A(rectangle) =8x4= 32 square unit

A(small triangle)= (base x height)/2
base= 1 unit
height= 1 unit
We get:
A(small triangle) = (1x1)/2 = 1/2 = 0.5 square units

A(big triangle)= (base x height)/2
base= 2 units
height= 4units
We get:
A(big triangle)= (2x4)/2 = 8/2 = 4 square units

For the final result:
A(shape) = 32 - 0.5 + 4 = 35.5 square units

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A survey of shoppers is planned to determine what percentage use credit cards. prior surveys suggest 63% of shoppers use credit

Alona [7]

We would need a sample size of 560.

We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal: 95% = 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.

The margin of error, ME, is given by:
$ME=z*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

We want ME to be 4%; 4% = 4/100 = 0.04. Substituting this into our equation, as well as our proportion and z-score,
$0.04=1.96\sqrt{\frac{0.63(1-0.63)}{n}}
\\
\\\text{Dividing both sides by 1.96,}
\\
\\\frac{0.04}{1.96}=\sqrt{\frac{0.63(0.37)}{n}}
\\
\\\text{Squaring both sides,}
\\
\\(\frac{0.04}{1.96})^2=\frac{0.63(0.37)}{n}
\\
\\\text{Multiplying both sides by n,}
\\
\\n(\frac{0.04}{1.96})^2=0.63(0.37)
\\
\\n(\frac{0.04}{1.96})^2=0.2331
\\
\\\text{Isolating n,}
\\
\\n=\frac{0.2331}{(\frac{0.04}{1.96})^2}=559.67\approx560$

3 0

3 years ago

HEY LOL PLEASE ANSWER THESE. PLEASE IM BEGGING YOU. HELP ME

Alexandra [31]

Answer:

a. ∆ABC ~ ∆A'B'C'

b. Enlargement

c. Scale factor = 4

Step-by-step explanation:

a. <A corresponds to <A'

<B corresponds to <B'

<C corresponds to <C',

Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'

b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.

c. Scale factor = the ratio of the corresponding sides

Thus:

Scale factor = A'B'/AB = B'C'/BC = A'C'/AC

Scale factor = 24/6 = 48/12 = 60/15 = 4

Scale factor = 4

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3 years ago

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Alika [10]

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