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3 years ago

Which formula finds the probability that a point on the grid below will be in the blue area

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

8 0

Answer: P(blue) total number of squares / number of blue squares

(A)

Step-by-step explanation:

soldier1979 [14.2K]3 years ago

3 0

Answer:

Option 2 - $\text{P(blue)}=\frac{\text{number of blue squares}}{\text{total number of squares}}$

Step-by-step explanation:

To find : Which formula finds the probability that a point on the grid below will be in the blue area ?

Solution :

Probability is defined as the number of favorable outcome divided by total number of outcome.

As $\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}$

The probability that a point on the grid below will be in the blue area is given by,

$\text{P(blue)}=\frac{\text{number of blue squares}}{\text{total number of squares}}$

Therefore, option 2 is correct.

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Given that BD is the median of AABC and that AABC is isosceles, congruence postulate SSS can be used to prove which of the follo

marusya05 [52]

Answer:

Step-by-step explanation:

Because of isosceles triangle, AB = CB.

Because of the median, AD = CD.

Because of congruence of segments being reflexive, BD = BD.

By SSS, the triangles BAD and BCD are congruent.

Answer: B.

7 0

2 years ago

7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

morpeh [17]

Hey there!

Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

Answer :

x = -4 or x = 2 ✅

Explanation :

Quadratic formula : ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :

If b² - 4ac > 0 , There are 2 real-number solutions

If b² - 4ac = 0 , There is 1 real-number solution.

If b² - 4ac < 0 , There is no real-number solution.

The roots of the equation are determined by the following calculation:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

Here, we have :

a = 1
b = 2
c = -8

1) Calculate the discriminant :

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) Calculate the roots of the equation:

▪️ (1)

$x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}$

▪️ (2)

$x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}$

>> Therefore, your answers are x = -4 or x = 2.

Learn more about quadratic equations:

brainly.com/question/27638369

6 0

2 years ago

Read 2 more answers

Write a linear inequality in two variables that has (-1, 3) as a solution but does not have (4,0) as a solution.

Stels [109]

Answer: y ≤ -x + 2

Step-by-step explanation:

There are an infinite number of possible solutions.

Plot the two points, draw any line between them such that the two points are NOT connected, then choose the inequality symbol that shades (-1, 3).

Here is one solution that satisfies the requirements. y ≤ -x + 2

Here is another: y < -x + 3

And another: y > x + 3

And one more: y ≥ x + 4

3 0

3 years ago

Suppose you have a data set that includes the values 20, 30, and 50. If you add a fourth value to this data set, and after doing

olya-2409 [2.1K]

Answer:

D. 100

Step-by-step explanation:

Mean = Sum of all numbers divided by the count of all numbers

Mean = 50

Let say that the sum of all numbers = X

50 = X / 4

200 = X

X = (20+30+50) + The 4th Value

200 = 100 + 4th Value

The 4th Value = 100

8 0

2 years ago

Check all of the ordered pairs that satisfy the equation below.

stiv31 [10]

Answer:

Hey there!

y=3/4x shows that the y-value is always 3/4 of the x-value.

Thus, if x is 4, y is 3. It always fits the 4:3 ratio.

The ordered pairs that satisfy this equation are: 28:21 and 16:12

Let me know if this helps :)

6 0

3 years ago