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Hunter-Best [27]
2 years ago
13

Which expression represents ¨the product of a number and 6¨?

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
5 0

Answer:

n*6

Step-by-step explanation:

A number being n and the product meaning multiplication.

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Sketxh the graph of y=(x+3)^3 and state the points where the graph crosses the axes​
gtnhenbr [62]

Answer: the graph crosses the x-axis at x = -3

<u>Step-by-step explanation:</u>

y = (x + 3)³

To find where the graph crosses the x-axis, let y = 0 and solve for x:

0 = (x + 3)³

0 = (x + 3)    with a multiplicity of 3

-3 = x           with a multiplicity of 3.

Since multiplicity is an ODD number, the graph CROSSES the x-axis at x = -3

<em />

<u>Graph:</u>

  • Leading coefficient is POSITIVE so right side goes to +∞
  • Degree of polynomial is ODD so left side goes to -∞

<em>graph is attached</em>

6 0
2 years ago
Simplify the expression.<br><br> (–2)5<br><br><br> 16<br><br><br> –10<br><br><br> –32<br><br><br> 32
BigorU [14]

Answer:

the answer is -10

Step-by-step explanation:

Its basically multiplication

4 0
3 years ago
Suppose that an airline uses a seat width of 16.5 in. Assume men have hip breadths that are normally distributed with a mean of
Alexxx [7]

Answer:

a) 0.018

b) 0            

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  14.4 in

Standard Deviation, σ = 1 in

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

Formula:

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

a) P(breadth will be greater than 16.5 in)

P(x > 16.5)

P( x > 16.5) = P( z > \displaystyle\frac{16.5 - 14.4}{1}) = P(z > 2.1)

= 1 - P(z \leq 2.1)

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

P(x > 16.5) = 1 - 0.982 = 0.018 = 1.8\%

0.018 is the probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.5 in.

b) P( with 123 randomly selected​ men, these men have a mean hip breadth greater than 16.5 in)

Formula:

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

P(x > 16.5)  

P( x > 16.5) = P( z > \displaystyle\frac{16.5-14.4}{\frac{1}{\sqrt{123}}}) = P(z > 23.29)  

= 1 - P(z \leq 23.29)

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

P(x > 16.5) = 1 - 1 = 0

There is 0 probability that 123 randomly selected men have a mean hip breadth greater than 16.5 in

4 0
3 years ago
If K is the midpoint of JL, JK=9x-1 and KL=2x+27, find JL.
ratelena [41]

Answer:

The answer is B. 70

Step-by-step explanation:

First, since K is the midpoint of line segment JL, JK must equal KL.

So, set 9x-1 = 2x+27 and solve.

7x=28 so x=4

Then, since they are asking for JL, using x=4, add together JK and KL.

So, 9x-1+2x+27 = 11x+26 = 11(4) + 26 = 44+26 = 70

3 0
3 years ago
Find x.<br> Round to the nearest tenth:<br> y<br> 31°<br> X<br> 400 ft<br> x = ? ]ft
Ludmilka [50]
A = 31 degree
Cos 31 degree = 400/x
X = 400/ Cos 31
= 400/0.8572
= 466.7ft
4 0
2 years ago
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