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3 years ago

What function represents this arithmetic sequence? 32, 41, 50, . . .

Mathematics

1 answer:

slega [8]3 years ago

7 0

The correct answer is f(x) = 9x + 23.

In order to find the answer, first make two ordered pairs using x as what number it is in the sequence and y as the value. Therefore you have the following ordered pairs: (1, 32) and (2, 41). Given that, we can find the slope by using the slope formula below.

m (slope) = (y2 - y1)/(x2 - x1)

m = (41 - 32)/(2 - 1)

m = 9/1

m = 9

Now that we have a slope of 9, we can find the intercept using slope intercept form and a point. We'll use (1, 32) as the point.

y = mx + b

32 = 1(9) + b

32 = 9 + b

23 = b

Now that we have the slope and intercept, we can write the equation.

f(x) = 9x + 23

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According to a study conducted by an organization, the proportion of Americans who were afraid to fly in 2006 was 0.10. A rando

jeyben [28]

Answer:

Event is not unusual(p>0.05).

Step-by-step explanation:

Given that :

$p=0.10\\\\n=1100\\\\x=121$

#The sample proportion is calculated as:

$\hat p=\frac{x}{n}\\\\=\frac{121}{1100}\\\\=0.1100$

#Mathematically, the z-value is the value decreased by the mean then divided the standard deviation :

$z=\frac{\hat p- p}{\sqrt{\frac{p(1-p)}{n}}}\\\\\\\\=\frac{0.11-0.10}{\sqrt{\frac{0.10(1-0.10)}{1100}}}\\\\\\=1.1055$

#We use the normal probability table to determine the corresponding probability;

$P(X\geq 121)=P(Z>1.1055)\\\\=0.1314$

Hence, the probaility is more than 0.05, thus the event not unusual and thus this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased.

8 0

2 years ago

WILL GIVE BRAINLY TO RIGHT ANSWER!!

Rufina [12.5K]

Answer:

3y^20/x^4

Step-by-step explanation:

5 0

3 years ago

What are the zeros of 3x²(x+π)³(x-4)²

Aneli [31]

Hi again!

The zeros are the values of x. This is where the graph intersects the x - axis. In order to find the zeros, replace y with 0 and solve for x.

The answer is x = 0, -π, 4

I am not sure what grade are you or the level, but for me, they sometimes asked me to find their multiplicities as well

The multiplicity of a root is the number of times the root appears.

So, the answer are
x = 0 and the multiplicity of 2
x = -π and the multiplicity of 3
x = 4 and the multiplicity of 2

Good luck with your studies!

5 0

2 years ago

What is the rate of change (slope), given these two points (1,-3) and (7,-6)

nadezda [96]

Answer: -1/2

Step-by-step explanation: to find slope, use the equation (y2-y1) / (x2-x1)

(-6 - -3) / (7 - 1)

-3 / 6

= -1/2

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2 years ago

What value does the 3 represent n the number 16.344 ?

Maslowich

Answer:

Three hundred

Step-by-step explanation:

Because the whole number is sixteen thousand THREE HUNDRED forty four

7 0

2 years ago