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3 years ago

What is 1.3 repeating as a fraction

2 answers:

8 0

1.333333333333333.... = -4/3.

To find this: 

x = -1.3333333333333... 

Multiply by 10: 

10x = -13.3333333333... 

Subtract x = -1.3333333333333333....: 

9x = -12. 

Divide by 9: 

x = -12/9 = -4/3.

djyliett [7]3 years ago

5 0

1 1/3 is the answer one and one third because .3333 is 1/3

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Please help im not very sure what any of this means

BaLLatris [955]

Answer:

∠JKH and ∠GHF

Step-by-step explanation:

hey there,

< Corresponding means "the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal." The lines here are parallel so they are equal.

If you don't understand the meaning of the angles also, feel free to ask me about that too.

The two angles I listed are equal to equal to each other. When you look at the other options, they aren't equal, they might look less or more degrees.

If this won't be a multiple choice but short answer, try looking at angles that look similar and see if they would be able to match with the angle given. >

Hope this helps! Feel free to ask anything else.

8 0

3 years ago

The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x

RoseWind [281]

Answer:

a) 0.96

b) 0.016

c) 0.018

d) 0.982

e) x = 2

Step-by-step explanation:

We are given with the Probability density function f(x)= 2/x^3 where x > 1.

Firstly we will calculate the general probability that of P(a < X < b)

P(a < X < b) = $\int_{a}^{b} \frac{2}{x^{3}} dx$ = $2\int_{a}^{b} x^{-3} dx$

= $2[ \frac{x^{-3+1} }{-3+1}]^{b}_a dx$ { Because $\int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a$ }

= $2[ \frac{x^{-2} }{-2}]^{b}_a$ = $\frac{2}{-2} [ x^{-2} ]^{b}_a$

= $-1 [ b^{-2} - a^{-2} ]$ = $\frac{1}{a^{2} } - \frac{1}{b^{2} }$

a) Now P(X < 5) = P(1 < X < 5) {because x > 1 }

Comparing with general probability we get,

P(1 < X < 5) = $\frac{1}{1^{2} } - \frac{1}{5^{2} }$ = $1 - \frac{1}{25}$ = 0.96 .

b) P(X > 8) = P(8 < X < ∞) = 1/ $8^{2}$ - 1/∞ = 1/64 - 0 = 0.016

c) P(6 < X < 10) = $\frac{1}{6^{2} } - \frac{1}{10^{2} }$ = $\frac{1}{36} - \frac{1}{100 }$ = 0.018 .

d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

= $(\frac{1}{1^{2} } - \frac{1}{6^{2} })$ + (1/ $10^{2}$ - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982

e) We have to find x such that P(X < x) = 0.75 ;

⇒ P(1 < X < x) = 0.75

⇒ $\frac{1}{1^{2} } - \frac{1}{x^{2} }$ = 0.75

⇒ $\frac{1} {x^{2} }$ = 1 - 0.75 = 0.25

⇒ $x^{2}$ = $\frac{1}{0.25}$ ⇒ $x^{2}$ = 4 ⇒ x = $2$

Therefore, value of x such that P(X < x) = 0.75 is 2.

8 0

3 years ago

Given: Angle 2 is 65 degrees. What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.

lesya [120]

Answer:

$\angle 4 = 115^{\circ}$

$\angle 3 = 65^{\circ}$

$\angle 7 = 65^{\circ}$

Step-by-step explanation:

Given

$\angle 2 = 65^{\circ}$

See attachment

Solving (a): $\angle 4$

To solve for $\angle 4$ , we make use of:

$\angle 2 +\angle 4 = 180^{\circ}$

The relationship between both angles is that they are complementary angles

Make $\angle 4$ the subject

$\angle 4 = 180^{\circ} - \angle 2$

Substitute $65^{\circ}$ for $\angle 2$

$\angle 4 = 180^{\circ} - 65^{\circ}$

$\angle 4 = 115^{\circ}$

Solving (b): $\angle 3$

To solve for $\angle 3$ , we make use of:

$\angle 3 =\angle 2$

The relationship between both angles is that they are complementary angles

$\angle 3 = 65^{\circ}$

Solving (c): $\angle 7$

To solve for $\angle 7$ , we make use of:

$\angle 7 = \angle 3$

The relationship between both angles is that they are alternate exterior angles.

So:

$\angle 7 = 65^{\circ}$

7 0

3 years ago

How to write -2x + y = -3 in slope intercept form? Preferably with steps.

Montano1993 [528]

Answer:

y = 2x - 3

Step-by-step explanation:

Start by writing out the given equation.

-2x + y = -3

The goal is to isolate the variable y.

For this equation, all you need to do is add 2x to each side.

-2x + y + 2x = -3 + 2x

Therefore, the answer is y = 2x -3.

I don't know if you are are familiar with the equation y = mx + b, but here's a little refresher. m is the slope, or in this case 2. b is the y-intercept, or in this case -3.

The equation y = mx + b is slope intercept form, so if you know this, you should be able to write any equation in slope intercept form.

Hope this helps!

6 0

3 years ago

How can you divide 133 nickels into 8 bags so that there are the same number of nickels in each bag and the number in each bag i

MaRussiya [10]

There is no way to divide them because 133 is odd, so 133 divided by 8 would be 16.625.

3 0

3 years ago