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3 years ago

Use rounding or compatible numbers to estimate the sum. 222+203

Mathematics

2 answers:

IrinaVladis [17]3 years ago

7 0

The sum of 222 + 203 by using rounding to compatible number is 420

<h3>Further explanation</h3>

Rounding results on integers can be used to estimate or determine the results of a calculation. Estimates can be used as a reference or comparison in determining the truth of the results of a calculation

To rounding integers to the nearest hundreds, look at the tens

1. If the tens are less than 5 (1-4), then the unit number is omitted

Example: 735 ---> 700

2. If the tens are 5 to 9 then the tens are rounded up to 1 hundred

Example: 279 ----> 300

Whereas compatible numbers are the numbers that are easy to add, subtract, multiply, or divide. The value of Compatible numbers will be close to the actual numbers

So We can round the numbers to the nearest ten, hundred, etc. to make them compatible numbers

In the summation operation above we will round out the numbers:

1. number 222

we round the number to the nearest ten become 220

2. number 203

we round the number to the nearest ten become 200

So the sum results become:

220 + 200 = 420

<h3>Learn more</h3>

Describe how to round 678 to the nearest hundred

brainly.com/question/641868

Rounding to the nearest hundredth of a meter.

brainly.com/question/13174267

Round 32,697 to the nearest tenth, hundredth, and one.

brainly.com/question/13174268

Keywords: rounding, nearest ten, addition operation

Anni [7]3 years ago

3 0

Hundreds and tens are easy to add, so we can round 203 to 200, and 222 to 220.
220+200=420, so
222+203 rounds to about 420

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The market and Stock J have the following probability distributions:

denis-greek [22]

Answer:

1) $E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

2) $E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

3) $E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

4) $E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

Step-by-step explanation:

For this case we have the following distributions given:

Probability M J

0.3 14% 22%

0.4 10% 4%

0.3 19% 12%

Part 1

The expected value is given by this formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

Part 2

$E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

Part 3

We can calculate the second moment first with the following formula:

$E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

Part 4

We can calculate the second moment first with the following formula:

$E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

8 0

3 years ago

What is the inverse of f(x) = -5x - 8?

grin007 [14]

Answer:

y=-1/5x-9/5

Step-by-step explanation:

y=-5x-9

x=-5y-9

-5y=x+9

y=-1/5x+9/-5

y=-1/5x-9/5

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3 years ago

Using the model of 7.77, how does the 7 in the tenths place compare to the 7 in the place to its left?

igomit [66]

It is 10 times smaller

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By the definition of complementary angles, since

svlad2 [7]

The blank spaces in the task content can be filled with; Substitution property, 90° and subtraction property.

<h3>What are the missing statements in the proof?</h3>

Since it follows from the vertical angles theorem that angle 1 = angle 4 as they are congruent.

Additionally, angles 1 and 2 are said to be complementary and hence, the sum of their measures is equal to 90°.

Finally, by virtue of the subtraction property of equality, the measure of angle 2 is; 90° - 40° = 50°.