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nadezda [96]
3 years ago
9

Name the algebraic property demonstrated in the example below: (1 point) 4(x + y) = 4x + 4y

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer:

distributive property

Step-by-step explanation:

distributive property, because 4 carries over to each variable and then the two product are added.

4(x+y)=4x+4y

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Answer:

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Step-by-step explanation:

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3 years ago
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 of the following three-dimensional figures is formed when an equilateral triangle is rotated around the x-axis of the coor
VMariaS [17]
I think that the D. CONE is the three-dimensional figure that will be formed when an equilateral triangle is rotated around the x-axis of the coordinate plane.

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<span>A cylinder is with two parallel congruent circular faces whose cross sections (taken parallel to these circular faces) are circular.
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<span>A cube is a rectangular prism whose faces are squares.</span>
5 0
3 years ago
Read 2 more answers
I need to find the resultant matrix
fomenos

the answers are there

i hope it will help you

7 0
3 years ago
The volume of this prism is 4375cm3.<br> The area of the cross-section is 125cm2.<br> Work out x
fomenos

Answer:

x is 35 cm

Step-by-step explanation:

To find the value of x, we will divide the volume by the cross-section

Mathematically, that will be;

4375/125 = 35 cm

5 0
3 years ago
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