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andrew11 [14]
2 years ago
5

Please help asap! I don’t really understand

Mathematics
1 answer:
garri49 [273]2 years ago
7 0

Answer:

  1. x² +3x -8x -24
  2. (x² +3x) +(-8x -24)
  3. x(x +3) -8(x +3)
  4. (x +3)(x -8)

Step-by-step explanation:

This is trying to help you understand a method of factoring trinomials.

The first step is to look at the linear term (-5x) and the constant term (-24) and identify the coefficients and their signs: -5 and -24.

The next step is to identify factors of -24 (the constant) that have a sum equal to -5 (the linear term coefficient). We can look at the ways that -24 can be factored:

  -24 = 1(-24) = 2(-12) = 3(-8) = 4(-6)

The sums of these factor pairs are 1-24=-23, 2-12=-10, 3-8=-5, 4-6=-2. Of course, the pair we're looking for is +3 and -8.

The next step from here is to rewrite the linear term using these factors. (-5x=3x-8x) This is the first step of the sequence shown in the figure:

  x² +3x -8x -24

The next step is to group these terms in pairs:

  (x² +3x) +(-8x -24)

And then, to factor each pair using the distributive property:

  x(x +3) -8(x +3)

Finally, finish the factoring, again using the distributive property:

  (x +3)(x -8)

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2 years ago
According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.
Verdich [7]

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. 2.7792%

Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

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6 0
2 years ago
NEED HELP ASAP!! I'm doing trigonometry and I've been stuck on this problem I don't really understand it, if you could help that
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Answer:

6.1

Step-by-step explanation:

Draw a picture of an equilateral triangle.  Cut the triangle in half, so that you get two 30-60-90 triangles.  The area of these smaller triangles is 8 square inches.

The short leg of these triangles (the base) is half the side length: ½ s.

According to properties of 30-60-90 triangles, the long leg (the height) is √3 times the short leg: ½ s√3.

Area of a triangle is half the base times the height:

A = ½bh

8 = ½ (½ s) (½ s√3)

8 = ⅛ s²√3

64 = s²√3

s² = 64/√3

s = √(64/√3)

s ≈ 6.1

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Answer:I will be a mode

Step-by-step explanation:

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