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tensa zangetsu [6.8K]
3 years ago
11

Consider the function below.

Mathematics
2 answers:
vovangra [49]3 years ago
5 0
An inverse function reverses (x, f(x)) to make it (f(x), x).

The 1st selection does that.
kobusy [5.1K]3 years ago
5 0

Answer:B

x q(x)

-2 -1

3 0

8 1

13 2

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In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=65°, and ZX = 4.8 feet. Find the length of YZ to the nearest tenth of a foot.
LiRa [457]

Answer:

Step-by-step explanation:

Mmmmmm shivam

6 0
2 years ago
13. The following data are the amounts of
Genrish500 [490]

3 Answers

  • Choice B) Billy misidentified the first quartile value
  • Choice C) Billy misidentified the median
  • Choice D) Billy misidentified the third quartile value

The correct box plot is shown below.

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

Explanation:

The first step when constructing a box plot is to sort the data from smallest to largest. That has already been done for us, so we can move to the next step.

For step 2, we need to find the median. This is the middle-most value. Write out all of the values on one horizontal line. Then cross off the first and last values. You'll end up with a smaller set, with two values tossed out. Repeat this process (cross off the first and last items) and keep doing this until you work your way toward the very middle position. There are 19 numbers in this list, which is an odd number, this means that the middle value is in slot 10 (note how 19/2 = 9.5 which rounds to 10). We have 9 values below the median and 9 values above the median. So 9+1+9 = 19 items total.

You should find that the value 55 is at slot 9, and at the very middle. So 55 is the median. Billy marked on the box plot that the median is at 50, so this is one mistake he made. Choice C is one of the answers

Note: the median is the vertical bar inside the box of the box-and-whisker-plot.

-----------------------------

Once you have the median, break the list into two halves like so:

L = {25,25,30,30,35,35,40,45,50}

U = {60,60,60,70,85,90,95,95,105}

L is the lower set of values smaller than the median, U is the upper set of values larger than the median. Set L and set U have 9 items each. Note the median of 55 is not part of set L nor is it part of set U either.

Repeat the process to find the median, but you'll do so on sets L and U separately. The median of set L is 35, so this is the value of Q1 or the first quartile.

The left edge of the box is the visual location of Q1. We can see that Billy marked Q1 at 30, but it should be at 35. So this is another mistake he made. Choice B is one of the answers

The median of set U is 85. We have four values below 85, and four values above 85 in set U. This makes Q3 to be 85. However, Billy marked the third quartile at 80 instead of 85. This is another mistake. Choice D is one of the answers.

--------------------------------

To summarize his 3 mistakes, they are:

  • He misidentified Q1  (Choice B)
  • He misidentified the median (Choice C)
  • He misidentified Q3 (choice D)

The good news is that he got the minimum correct because 25 is the smallest value. The min value is the left-most tip of the left whisker. The max is also in the correct location since 105 is the largest item. As you can probably guess, the max is located at the right-most tip of the right whisker.

See the attached image below to see how Billy should have drawn the box plot.

5 0
2 years ago
Answer the following questions about the standard normal random variable Z. (Use 4 decimal places in your answers to parts a. th
Mashcka [7]

Answer:

a) 0.6636

b) 0.0951

c) 0,9474    

d)  0.0047

e) 0.9957  

f)   0.1308  

Step-by-step explanation:

We look in tables z values and then we see carefully aereas inside normal curve

a) P[- 1.46 < z < 0.63 ]     point 1.46 from table 0.0721  this s th area from value -1.46 to the left . And the value  z = 0.63  corresond to the area 0.7357 which includes the area between 1.46 to the left tail, then we have to subtarct and get 0.6636 .

P[- 1.46 < z < 0.63 ] = 0.6636             66.36 %

b) P [ 0 < z < 1.31 ] we just need the area for point 1.31   that is 0.0951

P [ 0 < z < 1.31 ] = 0.0951                   9.51 %

c)  P [z > - 1.62  ] = 1 - 0.0526

P [z > - 1.62  ] = 0,9474                       94.74 %

d) P[z < - 2.6 ] =   0.0047                       0.47 %

e) P [ z < 2.63 ] = 1 - 0.0043

P [ z < 2.63 ] = 0.9957                         99.57 %

f) P [ -2.58 < z < -1.1 ]  =  0.1357 - 0.0049 =  

P [ -2.58 < z < -1.1 ]  =  0.1308              13.08 %

3 0
3 years ago
What does much more means in Math terms
viktelen [127]
Much more basically means subtract
7 0
2 years ago
F(x) = -3(x - 1)2 + 6 in standard form
sladkih [1.3K]

Answer:

Step-by-step explanation:

I think you mean f(x) = -3(x-1)^2+6. The ^ indicates an exponent.

f(x) = -3(x^2-2x+1) +6 = -3x^2+6x+3

7 0
2 years ago
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