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d1i1m1o1n [39]
1 year ago
9

Hello Brainly Teacher Brainly Moderators and trusted helpers!​

Mathematics
1 answer:
tatyana61 [14]1 year ago
4 0

Answer:

  • P(x < 84) = 0.3085 or approximately 31%

============

<em>Hello to you from Brainly team!</em>

<h3>Given</h3>

  • Mean grade μ = 86,
  • Standard deviation σ = 4,
  • Grade limit x = 84.

<h3>To find </h3>

  • Probability of that a randomly selected grade is less than 84 or P(x < 84).

<h3>Solution</h3>

Find z-score using relevant equation:

  • z = (x - μ)/σ

Substitute values and calculate:

  • z = (84 - 86)/4 = - 0.5

Using the z-score table find the corresponding P- value.

  • P(x < 84) = 0.30854 or approximately 31%
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from Least to Greatest:

0.45 < 0.5 < 3/5

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3 years ago
What is the slant height, s, of the triangular prism?
Rufina [12.5K]

Answer:

5.4

Explanation:

a²+b²=c²

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What is the y-intercept, axis of symmetry and vertex of the following function.
Pepsi [2]

Complete the square:

F(x) = -3x² - 6x - 5

F(x) = -3 (x² + 2x) - 5

F(x) = -3 (x² + 2x + 1 - 1) - 5

F(x) = -3 ((x + 1)² - 1) - 5

F(x) = -3 (x + 1)² + 3 - 5

F(x) = -3 (x + 1)² - 2

The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :

F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5

The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.

The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from

(x + 1)² ≥ 0   ⇒   -3 (x + 1)² ≤ 0   ⇒   -3 (x + 1)² - 2 ≤ -2

This is to say, every point on the parabola has a y-coordinate no greater than -2.

As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.

4 0
2 years ago
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Plz help! What is the surface area of the figure?​
dexar [7]

Answer:

483 ft²

Step-by-step explanation:

2(7x7)=   98

3(5x12)=180

2(12x5)=120

2(5x5)=   50  

1(7x5) =  <u> 35   </u>

              483

               

6 0
3 years ago
HELP !!!
Dmitrij [34]
The answer to this is negative
5 0
1 year ago
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