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Ket [755]
3 years ago
5

Unit Test

Mathematics
2 answers:
KIM [24]3 years ago
7 0

Answer:

C.

i and iii only

i. Hawaii

iii. Arizona, Nevada, and Utah

Step-by-step explanation:

hope this helps

Elza [17]3 years ago
6 0

Answer:

Its is C.i and iii only

Step-by-step explanation:

: )

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Solve the Equation |x-8|=16
choli [55]
|x-8| = 16
⇒ x-8= 16 or x-8= -16
⇒ x= 16+ 8 or x= -16+ 8
⇒ x= 24 or x= -8

Final answer: x= 24 or x= -8~
4 0
3 years ago
Read 2 more answers
Find the generating function for the sequence 1,1,1,2,3,4,5,6,....
marin [14]

Answer:

P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1[/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

1,1,1,2,3,4,5,6,...

the generating function would be

P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\

we can multiply P(x) by x to get

xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...

Note that

P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\   \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)

which for \mid x \mid < 1 can be rewritten as

(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}

8 0
3 years ago
What is mZG?<br>Enter your answer in the box. <br><br>FGH<br>(x-5)°<br>(3x+24)°<br>x°​
lapo4ka [179]

Answer:

The angle for G is 121°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so in order to find the angle of G, first, you hav eto find the value of x :

x + (x - 5) + (3x + 25) = 180°

5x + 20° = 180°

5x = 160°

x = 32°

Next, you have to find the angle of G :

G = 3x + 25

G = 3(32) + 25

G = 96° + 25°

G = 121°

5 0
3 years ago
An environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy
nydimaria [60]

Part A

Given info:

  • xbar = sample mean = 4.90 ppm
  • s = sample standard deviation = 1.12 ppm
  • n = 23 = sample size

Because n > 30 is not true, and we don't know the population standard deviation (sigma), this means we must use a T distribution.

The degrees of freedom here are n-1 = 23-1 = 22.

At 90% confidence and the degrees of freedom mentioned, the t critical value is roughly t = 1.717

Use a T distribution table or calculator to determine this. If you don't have a calculator for the task, then you can search out "inverse T calculator" and there are tons of free options to pick from.

The margin of error E is

E = t*s/sqrt(n)

E = 1.717*1.12/sqrt(23)

E = 0.400982

This is approximate and accurate to 6 decimal places.

The confidence interval is going to be xbar plus or minus that E value

L = lower bound = xbar - E = 4.90 - 0.400982 = 4.499018 = 4.50

U = upper bound = xbar + E = 4.90 + 0.400982 = 5.300982 = 5.30

The confidence interval in the format of (L, U) is (4.50, 5.30)

You could also express it as the format L < mu < U and it would be 4.50 < mu < 5.30; however, I'll stick to the first method.

<h3>Answer:  (4.50, 5.30)</h3>

=====================================================

Part B

Since we know sigma = 2.6 is the population standard deviation, we can use a Z distribution now.

At 90% confidence, the z critical value is roughly 1.645; use a table or calculator to determine this.

n = \left(\frac{z*\sigma}{E}\right)^2\\\\n \approx \left(\frac{1.645*2.6}{0.03}\right)^2\\\\n \approx 20325.254444 \\\\

Round this up to the nearest integer to get 20326. For min sample size problems, <u>always</u> round up.

<h3>Answer: 20326</h3>
6 0
2 years ago
How can you analyze the numerator and/or the denominator in a rational expression to locate the x-intercepts?
andre [41]

Answer:

x=0 for f(x)=\frac{P(x)}{Q(x)}, with Q(x) \neq 0.

Step-by-step explanation:

To obtain x-intercepts, we need to give certain value, specifically x=0.

However, in case of a rational function, we must make sure that x=0 doesn't makes the denominator null, beacuse in that case the function is undefined.

Therefore, for x-intercepts we must say

x=0 for f(x)=\frac{P(x)}{Q(x)}, with Q(x) \neq 0.

7 0
3 years ago
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