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3 years ago

Which represents where f(x) = g(x)?

Mathematics

2 answers:

natali 33 [55]3 years ago

8 0

It's the first one. in order to have g(x)=f(x) they have to be equal when x is replaced with equal numbers.

Lyrx [107]3 years ago

3 0

The <em><u>correct answer</u></em> is:

f(2) = g(2) and f(0) = g(0)

Explanation:

If f(x) = g(x), this means the values of the functions are the same when using the same numbers. That means if we use 2 for x, then f(2) would need to be equal to g(2); if we use 0 for x, then f(0) would need to be equal to g(0). This is the case in this option, so this option is correct.

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Suppose a simple random sample of size nequals36 is obtained from a population with mu equals 74 and sigma equals 6. (a) Descri

OlgaM077 [116]

Part a)

The simple random sample of size n=36 is obtained from a population with

$\mu = 74$

and

$\sigma = 6$

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

Therefore the sampling distribution has a mean of

$\mu = 74$

The standard error of the means becomes the standard deviation of the sampling distribution.

$\sigma_ { \bar X } = \frac{ \sigma}{ \sqrt{n} } \\ \sigma_ { \bar X } = \frac{ 6}{ \sqrt{36} } = 1$

Part b) We want to find

$P(\bar X \:>\:75.9)$

We need to convert to z-score.

$P(\bar X \:>\:75.9) = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: 1.9) \\ = 0.0287$

Part c)

We want to find

$P(\bar X \: < \:71.95)$

We convert to z-score and use the normal distribution table to find the corresponding area.

$P(\bar X \: < \:71.95) = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: - 2.05) \\ = 0.0202$

Part d)

We want to find :

$P(73\:$

We convert to z-scores and again use the standard normal distribution table.

$P( \frac{73 - 74}{1} \:< \: z$

5 0

3 years ago

A rectangular garden is fenced on three sides with a wall forming the fourth

Sveta_85 [38]

Answer:

The dimensions are 5 m by 20 m.

Step-by-step explanation:

The area = length * width = 100 m^2.

2 times the width + the length = 30 m.

So we have the equations:

wL = 100

2w + L = 30

From the first equation:

L = 100/w so substituting in the second equation, we have:

2w + 100/w = 30

Multiply through by w:

2w^2 + 100 = 30w

2w^2 - 30w + 100 = 0 Divide by 2:

w^2 - 15w + 50 = 0

(w - 5)(w - 10) =

w = 5 or 10m.

So L = 100/5 or 100/10

= 20 or 10.

As it is rectangular then w = 5 and L = 20.

4 0

3 years ago

What is 10x² if value of x is 2?

zvonat [6]

Answer:

Step-by-step explanation:

8 0

3 years ago

6÷4/9=?

madreJ [45]

Answer:

27/2 which is 13.5

Step-by-step explanation:

Keep the 6 as it is, turn the division into multiplication, and turn the 4/9 to 9/4

(This is a fixed way to treat division)

Now multiply 6 by 9 so you’re left with 54/4

Simplify the fraction you’ll get 27/2. If you use a calculator you’ll get 13.5

Please mark as brainliest if it helped :)

3 0

3 years ago

What is the slope of the line that contains the points (7, -1) and (-2, 2) ?

IceJOKER [234]

Step-by-step explanation:

m = $\frac{y_{2}- y_{1} }{x_{2} -x_{1} }$

m = $\frac{2-(-1)}{(-2)-7}$

m = $\frac{3}{-9}$

m = $-\frac{1}{3}$

Please give me a brainliest answer

7 0

2 years ago