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4 years ago

Please answer the question from the attachment.

Mathematics

1 answer:

Marysya12 [62]4 years ago

3 0

If you do not understand tell me so i clarify more

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the perimeter of a rectangle is 210cm. the ratio of the width to the length is 3:4. what is the length of the rectangle?

sveta [45]

Answer:

length = 60 cm

Step-by-step explanation:

ratio of width : length = 3 : 4 = 3x : 4x

perimeter = (2 × width ) + (2 × length) = 6x +8x = 14x

now perimeter = 210, hence

14x = 210 ( divide both sides by 14 )

x = 15

hence length = 4 × 15 = 60 cm

4 0

4 years ago

The variable W represents the number of weeks the office has been on the new recycling plan and the variable P represents the to

chubhunter [2.5K]

Answer:

It will take $\frac{45W}{P}$ weeks to recycle a total of 45 kg of paper

Step-by-step explanation:

W represents the number of weeks the office has been on the new recycling plan

P represents the total kilograms of paper recycled.

It took weeks to recycle P kilograms of paper = W

It took weeks to recycle 1 kilogram of paper = $\frac{W}{P}$

It took weeks to recycle 45 kilograms of paper = $\frac{W}{P} \times 45$

Hence It will take $\frac{45W}{P}$ weeks to recycle a total of 45 kg of paper

5 0

3 years ago

Plz help me ASAP it’s important

Hunter-Best [27]

Answer:

D. 6.3

Step-by-step explanation:

Well you can make a triangle with the line PQ with it's height as 2 and base as 6.

Then you can use the Pythagorean Theorem to find the length of PQ.

a²+b²=c²

2²+6²=c²

4+36=c²

40=c²

c²=40

<em>Square root both sides</em>

c= $\sqrt{40}$

c≈6.3

Our answer is D. 6.3

5 0

4 years ago

Please help me with this it is practice and I'm confused

rodikova [14]

Answer:

Step-by-step explanation:

A function is any line that does not repeat in x-value (doesn't repeat on the x-axis).

7 0

3 years ago

Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities.

BabaBlast [244]

Answer:

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

Step-by-step explanation:

Given that;

f(x) = 1.5x²

Now. the probabilities would be the integral of the given function from (-1 to 1)

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

= (1/2)x³

= 1/2 - 0

= 0.5

Therefore; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

this will also be done in the same way except that, the limits changes to { 0.5 to 1]

= (1)³/2 - (0.5)³ /2

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

= (0.5)³/2 - (-0.5)³/2

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let the value be 'a'

Then, integral from -1 to a will = 0.05

a³ - (-1)³ = 0.05 × 2

a³ + 1 = 0.10

a³ = 0.10 - 1

a³ = -0.9

a = ∛-0.9

a = -0.9654

Therefore, value of x is -0.9654

8 0

3 years ago