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katrin2010 [14]
3 years ago
14

PLEASE HELP ASAP!!!!!!!!!!!

Mathematics
1 answer:
irina [24]3 years ago
7 0

Answer:

132 in^2 but DOUBLE CHECK MY WORK!!!!

Step-by-step explanation:

Break it down into parts ok. So I see a 10x10 square, two 2x4 right triangles and a 4x6 rectangle.

10x10 is 100 in

1/2(2*4) = 4 x 2 = 8 in

6x4 = 24 in

add them together to get 132 in^2

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A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co
kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(test scores is between 411 and 649)

P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%

b) P(scores is less than 411 or greater than 649)

P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%

c) P(score greater than 768)

P(x > 768)

P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)

= 1 - P(z \leq 2)

Calculation the value from standard normal z table, we have,  

P(x > 768) = 1 -0.977 = 0.023 = 2.3\%

5 0
4 years ago
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
vovangra [49]

Answer: x≤ -0.5

Step-by-step explanation:  Graph the two lines or solve for x:

2x – 6 ≥ 6(x – 2) + 8

2x – 6 ≥ 6x – 12 + 8

2x – 6 ≥ 6x – 4

-4x  ≥  2

  x  ≤  -1/2  [Inequality is reversed when multiplying or dividing by a negative number]

The number line is anything less than or equal to - 1/2

Or one can plot each side of the inequality and note the interception point (x = -(1/2)).

4 0
3 years ago
If the diagonals of a parallelogram are congruent and are perpendicular bisectors of each other than what is it
alexira [117]
The parallelogram is a square
5 0
3 years ago
What is the slope of the line passing through points A(−18,24) and B(16,−8)?
Anastaziya [24]
       y2-y1     -8-24        -32     -1*2*2*2*4      16
M= --------- = ----------- = ------ = --------------- = ------
       x2-x1      16-(-18)     -2       -1*2                  1
6 0
3 years ago
What is 4 2/7 + 2 9/14
tiny-mole [99]

Answer:

6 13/14

Step-by-step explanation:

Convert 2/7 to 4/14 by multiplying both 2/7 by 2/2, to have a common denominator, then add your mixed numbers.

2/7 x 2/2 = 4/14

4/14 + 9/14 = 13/14

4 + 2 = 6

6 13/14

7 0
3 years ago
Read 2 more answers
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