Ask question

Ask question

All categories

3 years ago

9

What is the range of the function f(x) = |x| – 3? All real numbers b. All real numbers less than or equal to 3. C all real numbe

rs less than or equal to -3. D. All real numbers greater than or equal to -3

1 answer:

Lady bird [3.3K]3 years ago

5 0

D All real numbers greater than or equal to -3

You might be interested in

-81= −45−9n i need help please

miss Akunina [59]

-45 - 9n = -81

-9n = -81 + 45

-9n = -36

n = -36/-9

n = 4

Hope this helps you. :)

4 0

3 years ago

Read 2 more answers

Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n

konstantin123 [22]

Answer:

a) $P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

b) $P(13.848$ Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by $S^2$ and we select a random sample of size n from a normal population with a population variance $\sigma^2$ . And we define the following statistic:

$T = \frac{(n-1) S^2}{\sigma^2}$

And the distribution for this statistic is $T \sim \chi^2_{n-1}$

For this case we know that n =25 and $\sigma^2 = 6$ so then our statistic would be given by:

$\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2$

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

$P(S^2 > 9.1)$

And we can multiply the inequality by 4 on both sides and we got:

$P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

$P(3.462 < S^2$

If we multiply the inequality by 4 on all the terms we got:

$P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2$ And we can find this probability like this: $P(13.848$ And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

8 0

3 years ago

The area of a square piece of land is 784metersquared .What is the perimeter

Marta_Voda [28]

Answer:

112 m

Step-by-step explanation:

The area (A) of a square is

A = s² ( s is the length of side )

Here A = 784 , then

s² = 784 ( take the square root of both sides )

s = $\sqrt{784}$ = 28

Then

perimeter = 4s = 4 × 28 = 112 m

7 0

3 years ago

Read 2 more answers

find the volume of the following figure round your answer to the nearest tenth if necessary and make sure to use pi

Vikki [24]

Answer:

524cm^2

Step-by-step explanation:

Formula for Volume of sphere= 4/3 πr^2

We have,

r=5cm

Now,

Volume(v)=4/3 πr^2 = 4/3π 5^3= 4/3π 125 = 166.666666667π = 523.598775599

Rounding to the nearest tenth,

Volume=524cm^2

4 0

3 years ago

A- 13<br> B- 26 <br> C- 52<br> D- there is not enough information

NISA [10]

The answer is A, 13. Since we know line DB is a median (the middle), it tells us that line BC must equal line AB. Simply just do 26/2.

6 0

3 years ago