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2 years ago

The square root of 5 is between which two integers? Explain your reasoning.

1 answer:

8 0

The square root of 5 is the positive real number that, when multiplied by itself, gives the prime number 5. It is more precisely called the principal square root of 5, to distinguish it from the negative number with the same property

hope it helps

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The scores on an entrance exam to a university are known to have an approximately normal distribution with mean 65% and standard

emmasim [6.3K]

Answer:

The correct answer is - C. 24.1%

Step-by-step explanation:

Given:

mean μ = 65%

standard deviation δ = 7.1 %

solution:

Prob( X>70) = 1 - Prob(x<70)

= P (x-μ/δ ≥ 70 -65/7.1)

= 1 - Prob( (70-65)/7.1)

= 1 - Prob ( z < 0.7042553)

= 0.24065

the percentage of students scoring 70 or more in the exam

= 24.065*100

= 24.1%

4 0

2 years ago

If A = -3n + 2 and B = 5n - 7, what is the value of A - B, in simplest form?

11Alexandr11 [23.1K]

Answer:

-8n + 9

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

A = -3n + 2

B = 5n - 7

A - B

Step 2: Simplify

Substitute: -3n + 2 - (5n - 7)
Distribute negative: -3n + 2 - 5n + 7
Combine like terms (n): -8n + 2 + 7
Combine like terms (Z): -8n + 9

4 0

2 years ago

the perimeter of an equilateral triangle is 39 centimeters. What is the length of an altitude of the triangle ?

victus00 [196]

Answer: $h = 11.26cm$

Step-by-step explanation:

Equilateral triangle has equal sides, let the side be $xcm$ , then the perimeter is $3x$

Therefore:

$3x = 39$

$x = 39/3$

$x = 13cm$

To find the altitude , we will apply Pythagoras theorem , that is

$13^{2}=h^{2}+6.5^{2}$

Therefore:

$h^{2}=13^{2}-6.5^{2}$

$h^{2}=169-42.25$

$h^{2}=126.75$

take the square root of both sides

$h = 11.26cm$

8 0

2 years ago

(a) Work out the reciprocal of 1.25

Oxana [17]

Answer:

0.8 OR $\frac{4}{5}$

Step-by-step explanation:

The reciprocal of any number is the number that it multiplies by to equal 1.

The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.

E.g.

No. X/Y * Y/X (its reciprocal) = 1

$\frac{x}{y} *\frac{y}{x} =\frac{xy}{xy} =1$

So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.

1.25 = 125/100

$\frac{125/25}{100/25}=\frac{5}{4}$

Now we just flip 5/4 to get our reciprocal:

$\frac{4}{5}$ = 0.8

Test: 0.8 * 1.25 = 1

The reciprocal of 1.25 ( $\frac{5}{4}$ ) is 0.8 ( $\frac{4}{5}$ ).

Hope this helped!

8 0

2 years ago

The method of completing the square was used to solve the equation 2x^2 – 12x + 6 = 0. Which equation is a correct step when usi

solong [7]

Answer:

(x-3)^2 = 3

Step-by-step explanation:

4 0

1 year ago