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3 years ago

I need some help please

Mathematics

2 answers:

Travka [436]3 years ago

7 0

Answer:

ofn

Step-by-step explanation:

DiKsa [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Since there are 44 average people out of 80. We can do this,

Total students : 600

Checked: 80

Average: 44

Number of averaged throughout the school: 600/80 * 44

l: 7.5 * 44

Thus it is: 330 average students

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Part c

ehidna [41]

The probability that the first slice of the cake will have the marble exists

7/66.

<h3>How to determine the probability using parts A and B?</h3>

Part A of the question demands that the volume of the cake be

estimated.

The volume of the cake exists, $$V=\pi(\frac{d}{2} )^{2} h \\$

$$&V=\pi(\frac{9}{2} )^{2} * 4$

$$V=81 \pi$

The part B of the question requires that the volume of each cut be

computed

The volume of each cut exists, V = 27

To estimate the required probability

We simply divide the volume of each cut by the volume of the cake.

$$P=\frac{27}{81 \pi}$

$$P=\frac{1}{3 \pi}$

Expand $\pi$

$$&P=\frac{7}{3 * 22} \\$

$$&P=\frac{7}{66}$

Therefore, the probability that the first slice of the cake will contain the

marble exists at 7/66.

To learn more about probability refer to:

brainly.com/question/24756209

#SPJ4

4 0

2 years ago

Angles α and β are angles in standard position such that: α terminates in Quadrant I and sinα = 3/5 β terminates in Quadrant III

Arte-miy333 [17]

Answer:

-16/65

Step-by-step explanation:

Given sinα = 3/5 in quadrant 1;

Since sinα = opp/hyp

opp = 3

hyp = 5

adj^2 = hyp^2 - opp^2

adj^2 = 5^2 = 3^2

adj^2 = 25-9

adj^2 = 16

adj = 4

Since all the trig identity are positive in Quadrant 1, hence;

cosα = adj/hyp = 4/5

Similarly, if tanβ = 5/12 in Quadrant III,

According to trig identity

tan theta = opp/adj

opp = 5

adj = 12

hyp^2 = opp^2+adj^2

hyp^2 = 5^2+12^2

hyp^2 = 25+144

hyp^2 = 169

hyp = 13

Since only tan is positive in Quadrant III, then;

sinβ = -5/13

cosβ = -12/13

Get the required expression;

sin(α - β) = sinαcosβ - cosαsinβ

Substitute the given values

sin(α - β) = 3/5(-12/13) - 4/5(-5/13)

sin(α - β)= -36/65 + 20/65

sin(α - β) = -16/65

Hence the value of sin(α - β) is -16/65

5 0

3 years ago

Given f of x is equal to the quantity x minus 4 end quantity divided by the quantity x squared plus 13x plus 36 end quantity, wh

gavmur [86]

The simplified expression of the function $f(x) =\dfrac{x-4}{x^2+13x+36}$ is

$f(x) = \dfrac{x-4}{(x+9)(x+4)}$ . f(x) is increasing for all x > –4.The correct answer is option C.

<h3>What is a function?</h3>

A function is defined as a relation between the set of inputs having exactly one output each.

The function expression is given as:

$f(x) =\dfrac{x-4}{x^2+13x+36}$

Expand the denominator

$f(x) =\dfrac{x-4}{x^2+4x +9x+36}$

Factorize the denominator

$f(x) =\dfrac{x-4}{x(x+4)+9(x+4)}$

Factor out x + 9

$f(x) = \dfrac{x-4}{(x+9)(x+4)}$

The simplified expression of the function $f(x) =\dfrac{x-4}{x^2+13x+36}$ is

$f(x) = \dfrac{x-4}{(x+9)(x+4)}$ . f(x) is increasing for all x > –4