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katrin [286]
3 years ago
15

Identify the missing numbers below:

Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0

Answer:

A = 7.7

b = 26

Step-by-step explanation:

(3.5  \times 10^{16})(2.2  \times  10^{10}) = A  \times  10^b \\ 3.5 \times 2.2 \times 10^{16} \times 10^{10}= A  \times  10^b \\ 7.7 \times  {10}^{16 + 10} = A  \times  10^b \\ 7.7 \times  {10}^{26} = A  \times  10^b \\ equating \: like \: terms \: on \: both \: sides \\  A = 7.7  \\  10^b = {10}^{26}  \\  \implies \: b = 26

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Consider the functions. F(x)=(x+1)2-4 and g(x)=-4|x+1| which statement compares the range of the functions?
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<h2>        The fourth</h2>

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Vertex of f is (-1, -4) so its range is limited to y≥-4

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Read 2 more answers
A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5
EastWind [94]

The probability that the plant manufactures a part between 10.8 and 12.8 centimeters 13%

<h3>How to find the probability that the part is between 10.8 and 12.8 centimeters</h3>

The probability is solved z scores, this measures the amount of standard deviation sample X is from mean. the formula is below

z = (X - μ) / σ

<u>Definition of variables</u>

mean, μ = 16.3 centimeters

standard deviation, σ = 2.5 centimeters

X = 10.8 and 12.8 centimeters

z score, z

substituting into the formula

for X = 12.8 centimeters

=  (X - μ) / σ

= (12.8 - 16.3) / 2.5

= -1.4

the p value for z of -1.4 = 0.161513

for X = 10.8 centimeters

=  (X - μ) / σ

= (10.8 - 16.3) / 2.5

= -2.2

the p value for z of -2.2 = 0.027807

the probability is calculated as below

0.161513 - 0.027807= 0.133706

= 0.13

=13%

Learn more about standard deviation at:

brainly.com/question/28948351

#SPJ1

8 0
1 year ago
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