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Maksim231197 [3]
3 years ago
6

Write the following expression as a simplified polynomial in standard form.

Mathematics
1 answer:
LiRa [457]3 years ago
6 0

Answer:

x^2-5x+33

Step-by-step explanation:

(x-4)^2 -5x+20-3

x^2-4^2

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Find the value of x.<br> to<br> 95°<br> 135
Dvinal [7]

The given angles are 95° and 135, and the value of x is 40.

<h3>What is the angle sum property?</h3>

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

The given angles are 95° and 135.

Let's consider the adjacent angle of 135 to be z.

So, as we can see that both angles make a linear pair.

z + 135 = 180

z = 180 - 135

z = 45

Let's consider the interior angle to be y.

then,

y = 95 ( vertically opposite angle)

Now, The angle sum property

x + y + z = 180

x = 180 - 95 + 45

x = 40

Thus, the value of x is 40.

Learn more about the triangles;

brainly.com/question/2773823

#SPJ1

6 0
2 years ago
Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of
Olin [163]

Answer:

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

X \sim N(17.5,4)  

Where \mu=17.5 and \sigma=4

Since the distribution for X is normal then, the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)

We select a sample of n =50 people. And we want to find the following probability

P(16.5

And using the normal standard table or excel we find the probability:

P(-1.768< Z< 1.768) = P(Z

4 0
3 years ago
Use the method of ELIMINATION to solve the system. You must SHOW ALL WORK. Make sure you have an answer for both x and y.
jekas [21]

Answer:

<h3>Required <u>Answer</u><u>:</u><u>-</u></h3>

\sf 4x+8y=10\dots\dots (1)

\sf -4x+2y=-30\dots\dots (2)

  • by adding eq (1) and eq (2) we get

{:}\longrightarrow\sf 4x+8y=20

{:}\longrightarrow\sf -4x+2y=-30

<h2>__________________________</h2>

{:}\longrightarrow\sf 10y=-10

{:}\longrightarrow\sf y={\dfrac {-10}{10}}

{:}\longrightarrow{\underline{\boxed{\bf y=-1}}}

  • Substitute the value in eq (2)

{:}\longrightarrow\sf -4x+2 (-1)=-30

{:}\longrightarrow\sf -4x-2=-30

{:}\longrightarrow\sf -4x=-30+2

{:}\longrightarrow\sf -4x=-28

{:}\longrightarrow\sf x={\dfrac {-28}{-4}}

{:}\longrightarrow{\underline{\boxed{\bf x=7}}}

\therefore{\underline{\boxed{\bf (x,y)=(7,-1)}}}

6 0
3 years ago
Read 2 more answers
Bella wants to save for a vacation in three years and this vacation costs $2300. She deposits $2000 into a bank earning 5% inter
ddd [48]

Answer:

$2,323.2

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

A = P(1 + r/n)^nt

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2

5 0
3 years ago
7 less than a number k is 18​
Elena-2011 [213]

Answer:

k-7=18; k=25

Step-by-step explanation:

k(-7+7)=18+7\\18+7=25\\k=25

7 less than 25 (or K) is 18.

4 0
3 years ago
Read 2 more answers
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