The sum of two consecutive odd integers are 236. What is the smaller integer?

estimate 0.00792398 to the nearest thousandth. Express your answer as a single-digit times a power of ten

Marianna [84]

Answer: $\approx8*10^{-3}$

Step-by-step explanation:

In order to round to the nearest thousandth, you must observe the digit to the right of the digit in the thousandth place and then:

If it is less than 5, you must round down.

If it is greater than or equal than 5, you must round up.

In this case, given the number:

$0.00792398$

You can notice that the digit to the right of the digit in the thousandth place is 9.

Since $9>5$ , you must round up. Then:

$0.00792398\approx0.008$

Finally, to express this as a single-digit times a power of ten, move the decimal point three places to the right. Then you get:

$\approx8*10^{-3}$

5 0

3 years ago

441 is 63% of what number

blagie [28]

<span>Question: 441 is 63% of what number?
=> 63% = 63% / 100% = 0.63
Since 441 is the 63% let’s find the value of 37% to get the toal of 100%
Solution, follow the formula
=> 0.63x = 441 – where x will be the value of the missing 100% value.
=> x = 441 / 0.63
=> x = 700 – the 100% value that have 441 as 63%
let’s check if we have the correct answer:
=> 700 * .63 = 441 </span>

6 0

3 years ago

Harmonic mean if a number h such that (h-a)/(b-h)=a/b Prove h is H(a,b) iff satisfies either relation a. (1/a)-(1/h) = (1/h) - (

Fudgin [204]

A.

$\displaystyle\frac1a-\frac1h=\frac1h-\frac1b$
$\implies\displaystyle\frac{h-a}{ah}=\frac{b-h}{bh}$
$\implies\displaystyle\frac{h-a}{b-h}=\frac{ah}{bh}$
$\implies\displaystyle\frac{h-a}{b-h}=\frac ab$

b.

$\displaystyle h=\frac{2ab}{a+b}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{\frac{2ab}{a+b}-a}{b-\frac{2ab}{a+b}}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{2ab-a(a+b)}{b(a+b)-2ab}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{ab-a^2}{b^2-ab}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{a(b-a)}{b(b-a)}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac ab$

The other direction can be proved by following the manipulations in the reverse order.

7 0

3 years ago

A test was given to a group of students. The grades and gender are summarized below

jasenka [17]

Answer:

<h3>★ <u>11/30</u> is the right answer. ★</h3>

Step-by-step explanation:

Number of male students who got 'A' in the test is 11
Number of female students who got 'A' in the test is 19
Total students who got 'A' in the test is 30
Probability that the male student got an 'A' is P(A | male) = (Number of male students who got 'A' in the test)/(Number of total students who got 'A' in the test) = <em><u>11/30</u></em>

4 0

3 years ago

Find the 15th term in the Arithmetic Sequence An = 3n-7 Question 1 options: a32 b 7 c 38 d -2 please help

rusak2 [61]

A(15) = 3(15)-7 = 45-7 = 38.

SO, (C)38 IS THE ANSWER.

7 0

3 years ago

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