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2 years ago

Can someone explain scientific notation please it’s so confusing.

2 answers:

6 0

Answer: Scientific Notation is the expression of a number n in the form a∗10b. where a is an integer such that 1≤|a|<10. and b is an integer too. Multiplication: To multiply numbers in scientific notation, multiply the decimal numbers. Then add the exponents of the powers of 10.

Step-by-step explanation:

kati45 [8]2 years ago

4 0

Let's say we had the massive number

6,230,000,000

which we can shorten it to saying "6.23 billion" and that allows us to drop all the extra zeros at the end.

When writing it in scientific notation, we would say $6.23 \times 10^9$ and the $\times 10^9$ portion indicates "times ten to the ninth power". This is the place holder for "billion". It means we'll move the decimal point 9 spots to the right to go from 6.23 back to the original massive number shown above.

In short, scientific notation allows us to represent really large numbers in a compact way. It's useful to be able to communicate to a friend about whatever number you're referring to. One application is trying to find vast distances in outer space which tend to be very larger numbers. There are many other applications for scientific notation.

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Which facts could be applied to simplify this expression?Ckeck all that apply 5x+3y+(-x)+6z

kenny6666 [7]

Answer:

5x+3y+(-x)+6z

5x+(-x)+3y+6z

4x+3y+6z

The facts to apply is PEMDAS which is parenthesis,exponents, multiplication,division,addition and subtraction.

Then group like terms if there are any.

You finally get to a simplified answer if there are no like terms

4 0

2 years ago

Read 2 more answers

A group of finance managers at a car dealership estimates thatt 23% of all cars purchased last year were leases.If a sample of 8

vesna_86 [32]

Answer:

p = 0.52392

Step-by-step explanation:

Here we have

p = 23% = 0.23

$\hat p$ = 208/800 = 0.26

n = 800

q = 1-p = 0.77

α = 5% = 0.05

Here we have

Z test given by

$z=\frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}$

From which we have

From the Cpdf we have Probability = 0.0219, z = 2.016

Therefore from the z score = 0.0683, p = 0.52392 from z table.

5 0

3 years ago

The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th

timama [110]

Answer: (0.076, 0.140)

Step-by-step explanation:

Confidence interval for population proportion (p) is given by :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ = sample proportion.

n= sample size.

$\alpha$ = significance level .

$z_{\alpha/2}$ = critical z-value (Two tailed)

As per given , we have

sample size : n= 500

The number of Independents.: x= 54

Sample proportion of Independents $\hat{p}=\dfrac{x}{n}=\dfrac{54}{500}=0.108$

Significance level 98% confidence level : $\alpha=1-0.98=0.02$

By using z-table , Critical value : $z_{\alpha/2}=z_{0.01}=2.33$

The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

$0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)$