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3 years ago

1/4 ÷ (−3/8) Can anyone help me with this?

Mathematics

1 answer:

Marizza181 [45]3 years ago

7 0

Answer:

Fraction:

- 2 over 3

Decimal: -0.66666666

(- Repeating Decimal-)

Step-by-step explanation:

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Mauro has 140 ft. of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the sh

Paladinen [302]

Answer: The answer is 105 ft. and 35 ft.

Step-by-step explanation: Given that Mauro has 140 ft. of rope, which he wants to cut into two pieces such that the length of the longer piece is 3 times the length of the shorter piece. We need to find the lengths of both the pieces.

Let 'x' and 'y' be the lengths of the longer piece and shorter piece respectively. Then, we will have the following system of equations.

$x+y=140,\\\\x=3y.$

Substituting the value of 'x' from the second equation in the first equation, we have

$x+3x=140\\\\\Rightarrow 4x=140\\\\\Rightarrow x=35.$

Thus, length of longer piece = 3 × 35 = 105 ft., and length of shorter piece = 35 ft.

4 0

3 years ago

Eric had 2 liters of water. He gave 0.42 liter to his friend and then drank 0.32 liter. How much water does he have left? Helppp

dmitriy555 [2]

2-0.42-0.32=1.26 L
↓ ↓ ↓
↓ friend him
original

4 0

4 years ago

Read 2 more answers

Find the value of x X

IgorLugansk [536]

Answer:

20 or 18

Step-by-step explanation:

5 0

3 years ago

Identify the surface with the given vector equation. r(s, t) = s sin 4t, s2, s cos 4t

k0ka [10]

Answer:

Circular paraboloid

Step-by-step explanation:

Given ,

$r(s,t)=ssin4t,s^2,scos4t$

Here, these are the respective $x,y,z$ axes components.

Component along x axis $r_i : ssin4t$

Component along y axis $r_j : s^2$

Component along z axis $r_k : scos4t$

We see that , from the parameterised equation , $r_i^2+r_k^2=s^2sin^24t+s^2cos^24t\\r_i^2+r_k^2=s^2\\r_i^2+r_k^2=r_j$

This can also be written as :

$x^2+z^2=y$

This is similar to an equation of a parabola in 1 Dimension.

By fixing the value of z=0,

We get $y=x^2$ which is equation of a parabola curving towards the positive infinity of y-axis and in the x-y plane.

By fixing the value of x=0,

We get $y=z^2$ which is equation of a parabola curving towards positive infinity of y-axis and in the y-z plane.

Thus by fixing the values of x and z alternatively , we get a CIRCULAR PARABOLOID.

4 0

3 years ago

Suppose it is known that 60% of radio listeners at a particular college are smokers. A sample of 500 students from the college i

vladimir1956 [14]

Answer:

The probability that at least 280 of these students are smokers is 0.9664.

Step-by-step explanation:

Let the random variable X be defined as the number of students at a particular college who are smokers

The random variable X follows a Binomial distribution with parameters n = 500 and p = 0.60.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

$np=500\times 0.60=300>10\\n(1-p)=500\times(1-0.60)=200>10$

Thus, a Normal approximation to binomial can be applied.

So,

$X\sim N(\mu=600, \sigma=\sqrt{120})$

Compute the probability that at least 280 of these students are smokers as follows:

Apply continuity correction:

P (X ≥ 280) = P (X > 280 + 0.50)

= P (X > 280.50)

$=P(\frac{X-\mu}{\sigma}>\frac{280-300}{\sqrt{120}}\\=P(Z>-1.83)\\=P(Z$

*Use a z-table for the probability.

Thus, the probability that at least 280 of these students are smokers is 0.9664.

8 0

3 years ago