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Verdich [7]
3 years ago
15

Few flat parts have a rectangular prism

Mathematics
1 answer:
postnew [5]3 years ago
6 0
Rectangle prisms have 6 flat surfaces.
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Assume a recent sociological report states that university students drink 5.10 alcoholic drinks per week on average, with a stan
Lerok [7]

Answer:

Mean of sampling distribution = 5.10 alcoholic drinks per week

Standard deviation of the sampling distribution = 0.11

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 5.10 alcoholic drinks per week

Standard Deviation, σ = 1.3401

Sample size, n = 150

a) Mean of sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

\mu_{\bar{x}} = \mu = 5.10

b) Standard deviation of the sampling distribution

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3401}{\sqrt{150}} = 0.11

3 0
3 years ago
A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag with
Studentka2010 [4]

Answer:

  • 11/120

Step-by-step explanation:

  • Red = 3
  • Yellow = 5
  • Blue = 2

Possible options would be red or yellow as only two blue marbles.

<u>Probability of 3 red:</u>

  • 3/10*2/9*1/8 = 1/120

<u>Probability of 3 yellow:</u>

  • 5/10*4/9*3/8 = 1/12

<u>Probability of same three is:</u>

  • 1/120 + 1/12 = 11/120
3 0
3 years ago
Help me please thank you
iris [78.8K]
SSS - the side they're sharing is also congruent so if you just add in the other congruent sides you get SSS
4 0
3 years ago
Which of the following equations could represebt the point in the table select all the following
r-ruslan [8.4K]

Answer:

what are the equations

Step-by-step explanation:

you didnt show the equations

6 0
3 years ago
Factorize (X + 2 y)square - (2 x minus y) square​
gulaghasi [49]

Answer:

- (x - 3y)(3x + y)

Step-by-step explanation:

Given

(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL

= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute

= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms

= - 3x² + 8xy + 3y² ← factor out - 1 from each term

= - 1(3x² - 8xy - 3y²) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.

product = 3 × - 3 = - 9 and sum = - 8

The factors are - 9 and + 1

Use these factors to split the xy- term

3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )

= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term

= (x - 3y)(3x + y)

Thus

(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)

3 0
3 years ago
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