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BabaBlast [244]
3 years ago
10

Beth is 2 years older than Jimmy, and in 3 years the sum of their ages will be twice as much as the sum of their ages 3 years ag

o. Find their present ages.
Mathematics
1 answer:
Alika [10]3 years ago
8 0
Jimmy is 8
Beth is 10

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Plz simplify this expression:<br><br> 5x(x-4)
Bas_tet [7]
Hello! You can answer this question by using the distributive property. Basically

a(b+c) = a(b) + a(c)

Let's apply it to this expression:

5x(x-4)
=5x(x)-5x(-4)
=5x^{2} -20x)

8 0
3 years ago
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Determine o valor das seguintes expressões.
Alisiya [41]

a). (17º-17'-17")  =  17<span><span>º + 17'/60 + 17"/3600  =  </span>17.288055...</span><span>º

</span>17.288055...º / 4 = 4.322...º =  <em>4</em><span><em>º - 19' - 19.25"  </em><em /></span><span><== <span>a resposta</span>

b) (18º: 8 + 23º: 4 - 8º)

18</span><span>º / 8  =  2.25</span><span>º
23</span><span><span>º / 4  =  </span> 5.75</span><span>º

(2.25</span><span>º + 5.75</span><span><span>º </span>- 8º) = <em>0</em></span>  <== a resposta


6 0
3 years ago
A circle has a diameter of 10 centimeters. of a sector with a central angle of 50 degrees is cut out, what is the area of this s
kramer

Answer:

D. 10.91 square centimeters

Step-by-step explanation:

Area of a sector of a circle = \frac{\theta}{360}\\ \pir^{2}

where \theta = 50^{o} C

radius (r) = half of diameter = 10/2 = 5 cm

Area  = \frac{50}{360} * \frac{22}{7} * 5^{2}

= 10.91 cm^{2}

8 0
3 years ago
Laura's school is holding an outdoor activities celebration event for its 20th anniversary. Laura decides to participate in the
Pachacha [2.7K]

Probabilities are used to determine the chances of Laura winning an activity

  • The value of p is 1/12
  • The expected score of the game is -1/6
  • The probability that she has a total score of 5 after two rounds is 0

<h3>How to calculate the value of p</h3>

To calculate the value of p, we make use of the following probability formula

\sum P(x) = 1

So, we have:

\frac 3{12} + \frac 1{12} + \frac 4{12} + \frac 2{12} + p + \frac 1{12} = 1

Collect like terms

\frac 3{12} + \frac 1{12} + \frac 4{12} + \frac 2{12} + \frac 1{12}  + p= 1

Evaluate the sums, on the left-hand side

\frac{11}{12} + p = 1

Subtract 11/12 from both sides

p = \frac 1{12}

Hence, the value of p is 1/12

<h3>(b) How to calculate the expected score</h3>

This is calculated using the following expected value formula

E(x) = \sum x * P(x)

So, we have:

E(x) = -3 * \frac{3}{12} -1 * \frac 1{12} + 0 * \frac 4{12} + 1 * \frac 2{12} + 2 * \frac 1{12} + 4 * \frac 1{12}

Evaluate the products

E(x) =  -\frac{9}{12} - \frac 1{12}  + \frac 2{12} + \frac 2{12} + \frac 4{12}

E(x) =  -\frac 2{12}

Simplify

E(x) =  -\frac 1{6}

Hence, the expected score of the game is -1/6

<h3>(c) The probability that she has a total score of 5 after two rounds</h3>

From the table, we have:

P(5) = 0

For after two rounds, we make use of the following equation

P(5) * P(5) = 0 * 0

P(5) * P(5) = 0

Hence, the probability that she has a total score of 5 after two rounds is 0

Read more about probabilities at:

brainly.com/question/25870256

4 0
2 years ago
Find the area. Simplify your answer.
Alona [7]

Answer:

Area = 6x - 6

Step-by-step explanation:

Given:

Height = 2x - 2

Base = 6

Required:

Area

Solution:

Area of triangle = ½*b*h

Area of the triangle = ½*6*(2x - 2)

Area = 3(2x - 2)

Apply distributive property

Area = 6x - 6

7 0
3 years ago
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