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3 years ago

The area of the figure is square units.

Mathematics

1 answer:

Ber [7]3 years ago

3 0

from left to right

1st triangle is = 24

small rectangle is = 24

larger rectangle is = 96

final triangle is = 12

addition of above values give the area of whole figure which is = 156 units

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A typical snake bite delivers 0.0045 grams of venom. Maria and Tammy were asked to write this number in scientific notation. The

Stolb23 [73]

Answer:

Maria

Step-by-step explanation:

A typical snake bite delivers 0.0045 grams of venom.

Maria wrote it in scientific notation as $4.5\times 10^{-3}$

Tammy wrote it in scientific notation as $4.5\times 10^{3}$

Any number can be written in the form of scientific notation as follows :

$N=a\times 10^b$ (a is real no and b is integer)

The given no is 0.0045.

There are 2 zeroes before 4. Also the decimal is there before 2 zeroes.

$0.0045=\dfrac{45}{10000}\\\\=\dfrac{45}{10}\times \dfrac{1}{1000}\\\\=4.5\times 10^{-3}$

Hence, Maria is correct.

6 0

2 years ago

The function f(x) = 20(3)^x represents the growth of a fish population every year in a local lake. Jesse wants to manipulate the

valentina_108 [34]

We need the exponents law

$a^{bx}=(a^b)^x$
So if
a=3
b=1/2

then
$3^{1/2*x}=(3^{1/2})^x$
where x represent every half a year.

3 0

3 years ago

Read 2 more answers

What is the equation of the line in the following graph? 1)y=x+2

Levart [38]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (2, 0) and (-2, -4). Substitute:

$m=\dfrac{-4-0}{-2-2}=\dfrac{-4}{-4}=1$

Therefore we have the equation of a line

$y=1x+b\to y=x+b$

Put the coordinates of the point (2, 0) to the equation:

$0=2+b$ subtract 2 from both sides

$-2=b\to b=-2$

Answer: $\boxed{y=x-2}\to\boxed{3)}$

8 0

3 years ago

Lost all factor pairs of 50

Genrish500 [490]

Answer:

(5, 10 ) ( 2, 25 )

Step-by-step explanation:

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3 years ago

NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. In an earlier stud

SSSSS [86.1K]

Answer:

The large sample n = 190.44≅190

The large sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44

Step-by-step explanation:

Given population proportion was estimated to be 0.3

p = 0.3

Given maximum of error E = 0.04

we know that maximum error

$M.E = \frac{Z_{\alpha } \sqrt{p(1-p)} }{\sqrt{n} }$

The 85% confidence level $z_{\alpha } = 1.44$

$\sqrt{n} = \frac{Z_{\alpha } \sqrt{p(1-p)} }{m.E}$

$\sqrt{n} = \frac{1.44X\sqrt{0.3(1-0.3} }{0.04}$

now calculation , we get

√n=13.80

now squaring on both sides n = 190.44

large sample n = 190.44≅190

Conclusion:-

Hence The large sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44

7 0

2 years ago