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lisabon 2012 [21]

3 years ago

8

Elliot wrote a computer program that randomly generates a number from 2 to 10. If he runs the program twice, what is the probabi

lity that the number generated both times is a prime number? StartFraction 2 over 15 EndFraction StartFraction 1 over 6 EndFraction StartFraction 16 over 81 EndFraction StartFraction 9 over 20 EndFraction

2 answers:

Vikentia [17]3 years ago

8 0

Answer:

StartFraction 16 over 81 EndFraction

Step-by-step explanation:

There are 4 prime numbers from 2 to 10 (2, 3, 5, 7) and 9 numbers from 2 - 10. Total possibilities: 9 * 9 = 81

Prime possibilities: 4 * 4 = 16

Therefore the answer is 16/81 or StartFraction 16 over 81 EndFraction

Rus_ich [418]3 years ago

3 0

Answer:

16/81

Step-by-step explanation:

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Dennis stood on a 9 foot ladder to measure the sunflower. How much taller is the tallest sunflower than the ladder?

Shalnov [3]

Answer:

See Explanation

Step-by-step explanation:

Given

$Ladder = 9ft$

$Tallest\ Sunflower = x$

Required

How much taller is the tallest

To get this, we simply calculate the difference between the height of the tallest sunflower and the ladder.

i.e.

$Difference = Tallest\ Sunflower - Ladder$

$Difference = x - 9$

-----------------------------------------------------------------------------------------------------

If for instance, the tallest is 13ft, then it is 4ft taller.

Because:

$Difference = 13ft - 9ft$

$Difference = 4ft$

4 0

3 years ago

Choose the option that best answers the question.The points A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6) form a triangle. If Angl

Sunny_sXe [5.5K]

Answer:

The correct option is 1.

Step-by-step explanation:

Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.

It means AB and BC are legs of the right angled triangle ABC.

Side AB lies on the y-axis because the x-coordinate of both A and B is 0.

Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.

$4a-5=2a+6$

$4a-2a=5+6$

$2a=11$

Divide both sides by 2.

$a=\frac{11}{2}$

The value of a is 2. So the coordinates of triangle ABC are

$B(0,4a-5)=B(0,4(\frac{11}{2})-5)\Rightarrow B(0,17)$

$C(2a+1,2a+6)=C(2(\frac{11}{2})+1,2(\frac{11}{2})+6)\Rightarrow C(12,17)$

The area of a triangle is

$Area=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|$

The area of triangle ABC is

$Area=\frac{1}{2}|0(17-17)+0(17-0)+12(0-17)|$

$Area=\frac{1}{2}|12(-17)|$

$Area=\frac{1}{2}|-204|$

$Area=\frac{1}{2}(204)$

$Area=102$

The area of triangle ABC is 102. Therefore the correct option is 1.

6 0

3 years ago

Factor to find the zeros of the function defined by the quadratic expression.

wel

Hi there! The answer is A) x = 3 or x = 6

$2 {x}^{2} - 18x + 36 = 0$
Divide by 2.

${x}^{2} - 9x + 18 = 0$
Factor.

$(x - 3)(x - 6) = 0$
Use the rule AB = 0 gives A = 0 or B = 0

$x - 3 = 0 \: \: or \: \: x - 6 = 0 \\ x = 3 \: \: \: \: \: \: \: \: \: or \: \: x = 6$

The answer is A) x = 3 or x = 6

4 0

3 years ago

Read 2 more answers

Ricardo has a sandbox in the shape of a cylinder 5 feet in diameter. He plans to fill the sandbox with sand to a depth of 0.5 fe

s344n2d4d5 [400]

Answer:

36

Step-by-step explanation:

6 0

2 years ago

AN<br> X =<br> = [?]<br> 30°<br> X<br> B<br> C<br> angles are not drawn to scale

Tju [1.3M]

Answer:

x=60°

Does the answer help you?

3 0

3 years ago

Read 2 more answers