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zhenek [66]

3 years ago

="latex-formula">

Mathematics

2 answers:

Likurg_2 [28]3 years ago

6 0

Answer:

pi is approximately 3.14.

Step-by-step explanation:

But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). (To only 18 decimal places, pi is 3.141592653589793238.)

Monica [59]3 years ago

4 0

Answer:

≈ 3.14

Step-by-step explanation:

π, or pi, is an irrational number. We mathmaticians round it to 3.14.

You might be interested in

What is the approximate side length of the square if the diagonal is 3?

Alja [10]

Answer:

Step-by-step explanation:

The diagonal of a square is the same thing as the hypotenuse of a right triangle. This right triangle is a 45-45-90 since the sides are made up of sides of a square which all measure the same length, x.

Using Pythagorean's Theorem,

$x^2+x^2=3^2$ and

$2x^2=9$ and

$x^2=\frac{9}{2}$ and taking the square root of both sides gives us that

$x=\frac{\sqrt{9} }{\sqrt{2} }$ which simplifies to

$x=\frac{3}{\sqrt{2} }$ I'm assuming that your teacher has told you about rationalizing the denominator when you've got a radical there, so we will do that by multiplying by $\frac{\sqrt{2} }{\sqrt{2} }$ :

$x=\frac{3}{\sqrt{2} }*\frac{\sqrt{2} }{\sqrt{2} }$ which gives us

$x=\frac{3\sqrt{2} }{2}$

4 0

3 years ago

HELP!!! 100 POINTS ANSWER FAST

Viktor [21]

Answer:

(x - 4)^2 = 9

Step-by-step explanation:

<u>Completing the square</u>

x^2 - 8x + 7 = 0
x^2 - 2*4x + 16 - 9 = 0

(x^2 - 2*4x + 4^2) = 9

(x - 4)^2 = 9

<u>The blanks are</u>

- 4 and 9

4 0

3 years ago

Read 2 more answers

A triangle with base 8.2 cm and height 5.1 cm has an area of.

pshichka [43]

Answer:

Triangle area = 20.91 cm^2

Step-by-step explanation:

area = 1/2(b*h)

area = 1/2(8.2*5.1)

area = 1/2(41.82)

area = 20.91 cm^2

6 0

3 years ago

Evaluate 1/3 21-1-1/2 12

bearhunter [10]

Answer:

Step-by-step explanation:

Simplify 1/2

Equation at the end of step 1 :

1 1

((— • 21) - 1) - (— • 12)

3 2

Step 2 :

Simplify —

Equation at the end of step 2 :

((— • 21) - 1) - 6

Step 3 :

Pulling out like terms :

3.1 Pull out 6

After pulling out, we are left with :

6 • ( 1 +( (-1) ))

Final result :

7 0

3 years ago

annual survey in which readers rate their favorite cruise ship. All ships are rated on a -point scale, with higher values indica

siniylev [52]

This question is incomplete, the complete question is;

Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service.

A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.36, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.40.

Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers. What is the value of the test statistic? Round your all answers to two decimal places.

Answer:

value of the test statistic is 4.13

Step-by-step explanation:

Given the data in the question;

fewer than 500 passengers more than 500 passengers

n₁ = 37 n₂ = 44

x'₁ = 85.36 x'₂ = 81.40

s₁ = 4.55 s₂ = 3.97

Now, to get the test statistics, we use the following formula;

z = (x'₁ - x'₂) / √( $\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}$ )

we substitute

z = ( 85.36 - 81.40 ) / √( $\frac{(4.55)^2}{37} + \frac{(3.97)^2}{44}$ )

z = 3.96 / √( $\frac{20.7025}{37} + \frac{15.7609}{44}$ )

z = 3.96 / √( 0.5595 + 0.3582 )

z = 3.96 / √0.9177

z = 3.96 / 0.957966596

z = 4.1337 ≈ 4.13

Therefore, value of the test statistic is 4.13

6 0

3 years ago