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snow_tiger [21]
2 years ago
15

(7 x 10 ^5) + (4 x 10 ^2)

Mathematics
1 answer:
spayn [35]2 years ago
3 0

\huge\text{Hey there!}

\mathsf{(7\times 10^5) + (4 \times 10^2)}\\\mathsf{= 7\times 10^5 + 4 \times 10^2}

\large\textsf{Let's solve for the LEFT SIDE first}

\mathsf{7\times 10^5}\\\\\mathsf{10^5}\\\mathsf{= 10\times10\times10\times10\times10}\\\mathsf{= 100 \times 100\times 10}\\\mathsf{= 10,000 \times 10}\\\mathsf{= 100,000}\\\\\mathsf{7\times100,000}\\\mathsf{= 700,000}

\large\textsf{NEW EQUATION: }\bold{700,000} + {4}\times 10^2

\large\textsf{Now, let's solve for the RIGHT SIDE last}

\mathsf{4\times 10^2}\\\\\mathsf{10^2}\\\mathsf{= 10\times10}\\\mathsf{= 100}\\\\\mathsf{4\times100}\\\mathsf{= 400}

\large\text{NEW EQUATION: 700,000 + \bf 400}

\large\text{700,000 + 400}\\\\\large\text{SIMPLIFY IT!}\\\\\large\text{= 700,400}

\huge\text{Therefore, the answer should be: \boxed{\mathsf{700,400}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

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Answer:

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Step-by-step explanation:

Let the total number of people by 'x'.

\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\

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When we subtract the total number of men and women from the total people 'x', we get the number of children.

\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\

      x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x   = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\          \dfrac{5}{12}x=100\\

          \sf x = 100*\dfrac{12}{5}\\

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<h3>             Total number of people = 240</h3>
7 0
2 years ago
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Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}        

a) P(score between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%

P(20 \leq x \leq 30) = 55.88\%

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36

c) P(mean score of sample is between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{1.36} \leq z \leq \displaystyle\frac{30-24}{1.36}) = P(-2.94 \leq z \leq 4.41)\\\\= P(z \leq 4.41) - P(z < -2.94)\\= 1 - 0.0016 = 0.9984 = 99.84\%

P(20 \leq x \leq 30) =99.84\%

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3 years ago
What is 10 more than 45,301
Aliun [14]

Answer:45,311

45,301+10=45,311

I hope this is good enough:

7 0
3 years ago
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