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3 years ago

What is the simplified form of the following expression?

Mathematics

2 answers:

Alex3 years ago

8 0

Hey there!

$\bold{\frac{9+4^2}{5}}$
$\bold{4^2=4\times4=16}$
$\bold{\frac{9+16}{5}}$
$\bold{9+16=25}$
$\bold{\frac{25\div5=5}{5\div5=1}}$

$\bold{\frac{5}{1}=5}$
$\boxed{\boxed{\bold{Answer:A.5}}}\checkmark$

$\star$ Good luck on your assignment and enjoy your day $\star$

~ $\frak{LoveYourselfFirst:)}$

tigry1 [53]3 years ago

7 0

Hello there!

Answer:

$\boxed{A.=5}$

Step-by-step explanation:

PEMDAS

Order of operations

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

Left/Right

First, you do exponent.

$4^2=4*4=16$

$\frac{9+16}{5}$

Add by the numerator.

$9+16=25$

$\frac{25}{5}=5$

$\boxed{5}$ , is the CORRECT/FINAL ANSWER!

Hope this helps you!

Have a nice day! :)

:D

-Charlie

Thanks!

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The n candidates for a job have been ranked 1, 2, 3,…, n. Let X 5 the rank of a randomly selected candidate, so that X has pmf p

Anon25 [30]

Answer:

A. E(x) = 1/n×n(n+1)/2

B. E(x²) = 1/n

Step-by-step explanation:

The n candidates for a job have been ranked 1,2,3....n. Let x be the rank of a randomly selected candidate. Therefore, the PMF of X is given as

P(x) = {1/n, x = 1,2...n}

Therefore,

Expectation of X

E(x) = summation {xP(×)}

= summation {X×1/n}

= 1/n summation{x}

= 1/n×n(n+1)/2

= n+1/2

Thus, E(x) = 1/n×n(n+1)/2

Value of E(x²)

E(x²) = summation {x²P(×)}

= summation{x²×1/n}

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2 years ago

What is the value of x? Please help

SOVA2 [1]

Answer:

x = 45

Step-by-step explanation:

x and 3x are adjacent angles and the form a straight line. Their sum will be 180 degrees

x +3x = 180

Combine like terms

4x = 180

Divide each side by 4

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3 years ago

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3 years ago

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Lemur [1.5K]

Answer:

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Step-by-step explanation:

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3 years ago

In the circle below, AD is a diameter and AB is tangent at A. suppose mADC=228. Find the measures of mCAB and mCAD. Type your nu

Tju [1.3M]

Answer:

m∠CAB = 66°

m∠CAD = 24°

Step-by-step explanation:

m∠CAB

The given parameters are;

The measure of arc m $\widehat{ADC}$ = 228°

The diameter of the given circle = $\overline{AD}$

The tangent to the circle = $\underset{AB}{\leftrightarrow}$

The measure of m∠CAB and m∠CAD = Required

By the tangent and chord circle theorem, we have;

m∠CAB = (1/2) × m $\widehat{AC}$

However, we have;

m $\widehat{AC}$ + m $\widehat{ADC}$ = 360° the sum of angles at the center of a circle is 360°

∴ m $\widehat{AC}$ = 360° - m $\widehat{ADC}$

Which gives;

m $\widehat{AC}$ = 360° - 228° = 132°

m $\widehat{AC}$ = 132°

Therefore;

m∠CAB = (1/2) × 132° = 66°

m∠CAB = 66°

m∠CAD

Given that $\overline{AD}$ is the diameter of the given circle, we have

The tangent, $\underset{AB}{\leftrightarrow}$ , is perpendicular to the radius of the circle, and therefore $\underset{AB}{\leftrightarrow}$ is also perpendicular to the diameter of the circle

∴ m∠DAB = 90° which is the measure of the angle formed by two perpendicular lines

By angle addition property, we have;

m∠DAB = m∠CAB + m∠CAD

∴ m∠CAD = m∠DAB - m∠CAB

By substitution, we have;

m∠CAD = 90° - 66° = 24°

m∠CAD = 24°

7 0

2 years ago