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Maksim231197 [3]
3 years ago
8

What is the probability that a randomly selected number from 30 to 61 is divisible by 7 and then divisible by 20 after replacing

first?
Mathematics
1 answer:
devlian [24]3 years ago
7 0
Probability is zero. no solution
You might be interested in
What is the completely factored form of f(x)=x3+5x2+4x−6?
Gre4nikov [31]
f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
.    |  1   2  -2    0

which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
3 0
3 years ago
Find the measure of angle BEC.
liubo4ka [24]

Answer:

∠BEC=180°-94° = 86° ig

4 0
2 years ago
Henry has a fenced yard in the shape of a rectangle with a perimeter that measures 242 feet. If the width of the yard measures 5
neonofarm [45]

Answer: Length = 70 feet

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

Solve:

<u>Given information</u>

l = l

w = 51 feet

P = 242 feet

<u>Given expression</u>

P = 2 (l + w)

<u>Substitute values into the expression</u>

242 = 2 (l + 51)

<u>Divide 2 on both sides</u>

242 / 2 = 2 (l + 51) / 2

121 = l + 51

<u>Subtract 51 on both sides</u>

121 - 51 = l + 51 - 51

\boxed{l=70}

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
1. In which quadrant or on which axis do each of the points (-2,4) , (3,-1) ,(-1,0), (1,2) and (-3,-5) lie? Verify your answer b
pashok25 [27]

Point (-2 , 4) lies in the 2nd quadrant

Point (3 , -1) lies in the 4th quadrant

Point (-1 , 0) lies on the negative part of the x-axis

Point (1 , 2) lies in the 1st quadrant

Point (-3 , -5) lies in the 3rd quadrant

Step-by-step explanation:

Let us revise the signs of the coordinates in each quadrant

  • x and y coordinates are positive in the 1st quadrant
  • x-coordinate is negative and y-coordinate is positive in the 2nd quadrant
  • x and y coordinates are negative in the 3rd quadrant
  • x-coordinate is positive and y-coordinate is negative in the 4th quadrant
  • The general point on the positive part of x-axis is (x , 0), and on the negative part of x-axis is (-x , 0)
  • The general point on the positive part of y-axis is (0 , y), and on the negative part of y-axis is (0 , -y)

Now let us check the points

Point (-2 , 4) ⇒ red point

∵ x = -2 and y = 4

∵ x-coordinate is negative and y-coordinate is positive

∴ Point (-2 , 4) lies in the 2nd quadrant

Point (3 , -1) ⇒ blue point

∵ x = 3 and y = -1

∵ x-coordinate is positive and y-coordinate is negative

∴ Point (3 , -1) lies in the 4th quadrant

Point (-1 , 0) ⇒ green point

∵ x = -1 and y = 0

∵ x-coordinate is negative and y-coordinate is zero

∴ Point (-1 , 0) lies on the negative part of the x-axis

Point (1 , 2) ⇒ purple point

∵ x = 1 and y =2

∵ x and y coordinates are positive

∴ Point (1 , 2) lies in the 1st quadrant

Point (-3 , -5) ⇒ black point

∵ x = -3 and y = -5

∵ x and y coordinates are negative

∴ Point (-3 , -5) lies in the 3rd quadrant

<em>Look to the attached graph for more understand</em>

Learn more:

You can learn more about the four quadrant in brainly.com/question/9381523

#LearnwithBrainly

5 0
3 years ago
Pls help !!! :))<br> 17. If m_1 = 98º and mz2 = 19º,<br> what is mz3?
Feliz [49]

Answer:

angle 3 = 79 degree

Step-by-step explanation:

given:

angle 1 = 98 degree

angle 2 : 19 degree

angle 3 =?

angle 2 + angle 3 =angle 1 (sum of two interior angle opposite angles is equal to the exterior angle formed)

19 + angle 3 = 98

angle 3 = 98 - 19

angle 3 = 79 degree

4 0
3 years ago
Read 2 more answers
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