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3 years ago

What’s is the surface area of this

Mathematics

1 answer:

Marysya12 [62]3 years ago

6 0

2.8 multiplied by 2.8 to find the surface area of the base which is 7.84
4*1/2*2.8*5.5 to find the surface area of all four triangular faces which is 30.8
Plus them together 7.84 plus 30.8 which is 38.64

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Solve: The width of a rectangle is 4 less than the length. The area is 10 ft. Find the width.

garri49 [273]

This is pretty straight forward.

First the area of a rectangle is given by the product of the length and the width and in this case the area is known.

Second the length is an unknown and since we are doing algebra lets call it x

Finally the width is 4 less than the width which is (x-4) units....x will be in meters and the width is 4 meters less then the length.

Putting it together we have x(x-4) = 117 m^2

then

x^2 - 4x = 117

one could use the solution for the quadratic or one could plug in a few numbers as test for the length

10 by 10 is 100 square meters

10 by 14 is 140 square meters

13 by 9 is 117 square meters....x is 13 and x-4 is 9

I used approximation once I had determined the relationship between the area of the rectangle and the perimeter of the rectangle

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4 years ago

A study was conducted to investigate the relationship between maternal smoking during pregnancy and the presence of congenital m

Pachacha [2.7K]

Answer:

a) In the explanation.

b) P=0.09714

c) P=0.0866

d) p=0.208

Step-by-step explanation:

a) The sampling distribution will have this properties:

1 - The sampling distribution of a proportion is equal to the binomial distribution.

2 - The mean of the sampling distribution will be equal to the proportion of the population (0.328).

$\mu=\pi=0.328$

3 - The standard deviation will be equal to the square root of the product of the proportion and its complementary, divided by the sample size.

$\sigma_s=\sqrt{\pi(1-\pi)/n}=\sqrt{0.328*(1-0.328)/25}=0.094$

B) The fraction with sample proportion of 0.45 or higher is

$z=(p-\pi)/\sigma=(0.45-0.328)/0.094=1.298\\\\P(p\geq0.45)=P(z\geq 1.298)=0.09714$

C) The fraction with sample proportion of 0.20 or lower is

$z=(p-\pi)/\sigma=(0.2-0.328)/0.094=-1.362\\\\P(p\leq0.2)=P(z\geq -1.362)=0.0866$

D) The value of p that cuts off the lower 10% of the distribution corresponds to z=-1.28.

Then we have

$z=(p-\pi)/\sigma\\\\p=\pi+z\sigma=0.328+(-1.28)*0.094=0.328-0.120=0.208$

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