26 less a number is equal to the product of 3 and the sum of the number and 2

Mathematics

1 answer:

Anastasy [175]3 years ago

3 0

-16 I can show you step by step if you want!

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I write out all the whole numbers, starting from 1. If I wrote 1994 digits altogether, what was the last complete number I wrote

Nataly_w [17]

Answer:

You wrote the numbers from 1 to 9: 9 digits.

You wrote the numbers from 10 to 99: 90*2 = 180 digits.

You have written 189 digits.

Then you wrote another 1994 - 189 = 1805

All the numbers from 100 to 999 have 3 digits

So you wrote 1805/3 = 601 2/3

This means 601 full numbers and 2 digits from the 602. number.

So 100 + 601 - 1 = 700 was the last number you wrote.

Do you agree?

3 0

3 years ago

University dean is interested in determining the proportion of students who receive some sort offinancial aid. rather than exami

vladimir2022 [97]

The confidence interval is
$0.59\pm0.081$

We first find p, our sample proportion. 118/200 = 0.59.

Next we find the z-score associated with this level of confidence:
Convert 98% to a decimal: 98% = 98/100 = 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 2.33.

The margin of error (ME) is given by
$ME=z\sqrt{\frac{p(1-p)}{n}}
\\
\\=2.33\sqrt{\frac{0.59(1-0.59)}{200}}=2.33\sqrt{\frac{0.2419}{200}}\approx0.081$

This gives us the confidence interval
$0.59\pm0.081$

8 0

3 years ago

What is 0.00837 written in scientific notation?

Angelina_Jolie [31]

Answer:

8.37 x 10^-3

(Scientific Notation)

8.37 x 10^-3

(use the caret symbol [^] to type or write)

8.37E-3

(Scientific E-notation)

0.00837

(Real Number)

Step-by-step explanation:

How to convert numbers or decimals to scientific notation?

In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).

7 0

3 years ago

Find the slope of the line passing through (3, 7) and (6, 11). Note: Use the y-y/x-x formula!

lana [24]

Answer:

Slope of the line $m = \frac{4}{3}$