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Svetradugi [14.3K]
3 years ago
12

A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability d

istribution below?
                     Probability Distribution

.45    |
.4      |                            ~
.35    |                            ~
.3      |                            ~
.25    |                            ~
.2      |                ~          ~          ~
.15     |                ~          ~          ~
.1       |    ~          ~          ~          ~          ~
.05    |    ~          ~          ~          ~          ~
0       |__~____~_____~_____~____~____
              1          2          3          4          5
                                 X
Answer Choices:  A. 0.2  B. 0.4   C. 1  D. 3
Mathematics
2 answers:
choli [55]3 years ago
8 0

The correct answer is D) 3.

The mean is 3

damaskus [11]3 years ago
5 0

Answer:

3

Step-by-step explanation:

Given that A project is graded on a scale of 1 to 5.

If the random variable, X, is the project grade, we have to find  the mean of the probability distribution below

Since X takes values as 1,2,3,4,5

from the picture given we find the frequency distribution of X

X    1    2     3     4    5     Total

f     2    4     8     4    2       20

fx    2    8    24   16  10      60

Mean =60/20 =3

Hence answer is 3

   

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Please help! ive been stuck on this for so long and i just keep getting frustrated can someone help walkme through this?
bagirrra123 [75]

For firework launched from height 100ft with initial velocity 150ft/sec, equation made is correct

(a) equation will be h(t) = -16t^2+150t+100

(b) Now we have to see when it will land. At land or ground level height h will be equal to 0. So simply plug 0 in h place in equation made in part (a)

0 = -16t^2 + 150t + 100

Now we have to solve this quadratic. We will use quadratic formula method to solve this equation.

t = \frac{-b \pm  \sqrt{b^2-4ac}}{2a}

a = -16, b = 150, c = 100.

Plugging these values in quadratic formula we get

t = \frac{-150 \pm  \sqrt{150^2-4(-16)(100)}}{2(-16)}

t = \frac{-150 \pm  \sqrt{22500+6400}}{-32}

t = \frac{-150 \pm  \sqrt{28900}}{-32}

t = \frac{-150+170}{-32}  = \frac{20}{-32} = -0.625

time cannot be negative so we will drop this answer

then t = \frac{-150-170}{-32}  = \frac{-320}{-32} = 10

So 10 seconds is the answer for this

(c) To make table simply plug various value for t like t =0, 2, 4, 6, 8 till 10. Plug values in equation mad in part (a) and find h value for each t as shown

For t =0 seconds, h = -16(0)^2+150(0)+100 = 100 feet

For t =2 seconds, h = -16(2)^2+150(2)+100 =336 feet

For t =4 seconds, h = -16(4)^2+150(4)+100 = 444 feet

For t =6 seconds, h = -16(6)^2+150(6)+100 = 424 feet

For t =8 seconds,h = -16(8)^2+150(8)+100 = 276 feet

For t =10 seconds, h = -16(10)^2+150(10)+100 = 0 feet

(d) Axis of symmetry is given by formula

x = \frac{-b}{2a}

t = \frac{-150}{2(-16)} =\frac{-150}{-32} = 4.6875

t = 4.6875 is axis of symmetry line

(e) x-coordinate of vertex is again given by formula

x = \frac{-b}{2a}

so t = 4.6875

then to find y coordinate we will plug this value of t as 4.6875 in equation made in part (a)

For t =4.6875, h = -16(4.6875)^2+150(4.6875)+100 = 451.563

so vertex is at (4.6875, 451.563)

(f) As the firework is launched so in starting time is t=0, we cannot have time before t=0 (negative values) practically. Also we cannnot have firework going down into the ground so we cannot have h value negative physically.

6 0
3 years ago
Find 6% of $5.65 and round the product to the nearest cent.
Leviafan [203]

Answer:

$0.34

Step-by-step explanation:

a = p*w

a = .06*5.65

a = 0.339

rounded = 0.34

hope this helps :)

8 0
3 years ago
This is a cross section of the design of a bookshelf.
Elanso [62]

Answer:

25 in

Step-by-step explanation:

a^{2} +b^{2} =c^{2} \\15^{2} +20^{2} =c^{2} \\225+400=c^{2} \\c^{2} =625\\c=\sqrt{625} \\c=25

6 0
3 years ago
A TV has a listed price of $695.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax incl
Brut [27]

Answer:

$749.89

Step-by-step explanation:

TV price = 100% = 695.95

Sales TAX = 7.75% = x

Total price = 107.75% = x dollars

1.0775 * 685.95 = 749.886125 ≈ 749.89

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0
2 years ago
Find the lateral surface area of the rectangular prism.
Arlecino [84]

Answer:

33

Step-by-step explanation:

Area of a rectangle is length * width

7 0
3 years ago
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