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2 years ago

What is the nth term rule of the linear sequence below 15, 7, -1, -9, -17

Mathematics

2 answers:

Amiraneli [1.4K]2 years ago

6 0

Answer:

the nth term rule of the linear sequence is -25.

Mars2501 [29]2 years ago

4 0

Answer:

8n+7

Step-by-step explanation:

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"Large Sample Proportion Problem. Surveys were conducted in multiple countries and respondents were asked if they felt political

melomori [17]

Answer: 0.0158

Step-by-step explanation:

Given : The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly.

According to the given information we have,

Sample size : n= 1000

Sample proportion: $\hat{p}=\dfrac{470}{1000}=0.47$

The standard error for proportion is given by :-

$S.E.=\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$S.E.=\sqrt{\dfrac{0.47(1-0.47)}{1000}}$

$S.E.=\sqrt{0.0002491}$

$S.E.=0.0157829021412\approx0.0158$

[Rounded to the nearest four decimal places.]

Hence, the standard error for the confidence interval = 0.0158

6 0

2 years ago

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point)

Rina8888 [55]

Answer:

$g(x)=x^2+4$ and $f(x)=\frac{8}{x}$

Step-by-step explanation:

If we want to express $y$ as $y=f(g(x))$ , this means that put the function $g(x)$ into $x$ of $f(x)$ to get $y$ .

The function $y$ is given as $y=\frac{8}{x^{2}+4}$

So we need to figure out a function $g(x)$ that we can put into another $f(x)$ to get $y$

If we let $g(x)=x^2+4$ and $f(x)=\frac{8}{x}$ , we can clearly see that putting g(x) into x of f(x) will give us $\frac{8}{x^2+4}$ , which is y.

Hence $g(x)=x^2+4$ and $f(x)=\frac{8}{x}$

3 0

2 years ago

Read 2 more answers

What is the adult to child ratio of 8:5 if 390 attend how many are children

AVprozaik [17]

1. 8+5=13

2. 13 x 3 x 10 = 13 x 30 = 390

Using the information above transform the ratio 8:5.

8 x 30 : 5 x 30

If you do this, you'll end up with the ratio:

240 : 150

This means that 240 adults attended whilst 150 children attended.

6 0

2 years ago

What is the value of f(4) in f(x)=3x-6

vodka [1.7K]

F(4) value is 6.
I believe it would work like this:
f(x) is being turned into f(4), so 4 would equal x. Put 4 into the equation 3x-6, and you get 12-6, which gives you 6. So the value of f(4) is 6. I hope this helps!

3 0

2 years ago

Write the slope intercept form of the equation of the line through the given points. (5,-1) and (-5,2)

Lelu [443]

Answer:

$y=-\frac{3}{10} x+\frac{1}{2}$ or $-\frac{3}{10}$

Step-by-step explanation:

first use the y2-y1/x2-x1 formula then use y=mx+b after

plug in 2 for y2 and -1 for y1

plug in -5 for x2 and 5 for x1

$\frac{2-(-1)}{-5-5}$ =

2+1=3

-5-5=-10

$-\frac{3}{10}$ is ur slope

_____________________

this is the y=mx+b formula *extra info ig*

i usually use the first point for this but u can use watever point u want

plug in 5 for x

plug in -1 for y

and plug -3/10 for m

-1=-3/10(5)+b

-3/10*5=-3/2

-1=-3/2+b

add -3/2 on both sides

-1+3/2=1/2

1/2=b and b is ur y-intercept

y=-3/10x+1/2

hope this helps

7 0

2 years ago