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ANTONII [103]
2 years ago
5

Pls help due in 10 minutes!!!

Mathematics
2 answers:
Luden [163]2 years ago
8 0

Answer:

\sf 500,000,000,000=5 \times 10^{11}

\sf 0.00000000005=5 \times 10^{-11}

Step-by-step explanation:

<u>Scientific notation</u>

\large\boxed{a \times 10^n}  

where:

  • 1\leq a < 10
  • n is any positive or negative <u>whole number</u>.

To convert a number into scientific notation, <u>move</u> the decimal point to the <u>left or right</u> until there is <u>one digit</u> to the left of the decimal point.

The number of times you have moved the decimal point is n.

  • If the decimal point has moved to the <u>left</u>, n is positive.
  • If the decimal point has moved to the <u>right</u>, n is negative.

To convert 500,000,000,000 into scientific notation, move the decimal point <u>11 places to left</u>, so a = 5.  As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is <u>positive</u>.

\implies \sf 500,000,000,000=5 \times 10^{11}

To convert 0.00000000005 into scientific notation, move the decimal point <u>11 places to the right</u>, so a = 5.  As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is <u>negative</u>.

\implies \sf 0.00000000005=5 \times 10^{-11}

Learn more about scientific notation here:

brainly.com/question/28235385

AnnZ [28]2 years ago
5 0

Answer:

top 5 times 10 to the 1`

bottom 5 times 10 to the -11

Step-by-step explanation:

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Answer:

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 447 gram setting.

H_0:\mu = 447\\H_a:\mu\neq 447

Mean = \mu = 447\\s = 21\\x = 443

n = 19

Since n < 30 , so we will use t test

t=\frac{x-\mu}{\frac{s}{\sqrt{n}}}

Substitute the values :

t=\frac{443-447}{\frac{21}{\sqrt{19}}}

t=−0.8302

t calculated = -0.830

degree of freedom = n-1 = 19-1 = 18

A level of significance=α=0.025

t_{(df,\frac{\alpha}{2})}=2.093

t critical = 2.093

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So, We failed to reject null hypothesis

Decision rule  -0.830< 2.093 So, We failed to reject null hypothesis

4 0
3 years ago
100 points for the answer
lora16 [44]

Answer:

83 in.^2

Step-by-step explanation:

The entire polygon consists of a rectangle with length 8 in. and width 5 in., a triangle with base 8 in. and height 7 in., and another triangle with base 5 in. and height 6 in.

The total are is the sum of the area of the rectangle and the two triangles.

area = area of rectangle + area of first triangle + area of second triangle

area = LW + bh/2 (for the first triangle) + bh/2 (for the second triangle)

area = 8 in. * 5 in. + 8 in. * 7 in. / 2 + 5 in. * 6 in. / 2

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