1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
raketka [301]
3 years ago
9

Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit

h 40 students. What is the probability that exactly 5 of them have blue eyes? 0 0.0573 0.1023 0.1165 0.9020
Mathematics
1 answer:
vovikov84 [41]3 years ago
7 0

Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 40 students

            r = number of success = exactly 5

           p = probability of success which in our question is % of people

                 having blue eyes, i.e; 8%

<em>LET X = Number of students having blue eyes</em>

So, it means X ~ Binom(n= 40,p=0.08)

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

        P(X = 5) =  \binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}

                      =  658008 \times 0.08^{5}  \times 0.92^{35}

                      = 0.1165

                

Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

You might be interested in
Jeremiah works 5 days a week. If he earns $225 a dat how much does he earn per week
Strike441 [17]

Answer: $1125

Step-by-step explanation:

He works five days a week so it would be 225 times 5 which equals 1125

8 0
4 years ago
Read 2 more answers
Simplify the expression.<br> The expression is<br> (5x+1/2)+(9x-2 1/2)
Alexxandr [17]
All you have to do here is combine like terms.
5x + 9x = 14x
.5 - 2.5 = -2

14x - 2
5 0
3 years ago
1 matrix question help (with picture)
Dominik [7]

Answer:

  a = 9/2

Step-by-step explanation:

In order for the equation to be true, the value of the scalar multiplier must be ...

  15/3 = -10/-2 = 35/7 = 5

So, you're solving ...

  (2/3)a + 2 = 5

  (2/3)a = 3 . . . . . . subtract 2

  a = 9/2 . . . . . . . . multiply by 3/2

3 0
3 years ago
Triangle QRS is dilated according to the rule DO,2 (x,y).
Gemiola [76]

The correct options about the dilation are; Options A, B and E

<h3>How to interpret Dilated Objects?</h3>

From the given information, find attached a dilated image.

The scale factor is 2

QRS → Q'R'S' = (x,y) → 2(x,y)

The coordinates of ∆QRS are; Q (-3, 3), R (2, 4) and S (-1, 1)

To get the coordinates of Q'R'S', we would multiply each coordinate of the original triangle by the scale factor of 2 since the dilation is from the origin. In other words, each vertex of QRS is multiplied by 2 to get each of the vertex of Q'R'S'.

2(x, y) = (2x, 2y)

The coordinates of ∆Q'R'S' becomes: Q' (-6, 6), R' (4, 8), S' (-2, 2)

To determine the statements that are true about the image ΔQ'R'S,

Starting with ΔABC, we would draw the dilation image of the triangle with a center at the origin and a scale factor of 2.

A) DO, 2 (x, y) = (2x, 2y)

A dilation about the origin with a scale factor 2 is described using the above notation.

Q' = 2(-3,3) = [2(-3), 2(3)] = (-6, 6)

R' (4, 8) = 2(2,4) = [2(2), 2(4)] = (4, 8)

S' (-2, 2) = 2(-1,1) = [2(-1), 2(1)] = (-2, 2)

Thus Option A is correct.

B) Side Q'S' lies on a line with a slope of -1

Q' (-6, 6)

S' (-2, 2)

coordinate (x, y)

Slope = m = (change in y)/(change in x)

m = (6-2)/[-6-(-2)]

m = 4/(-6+2) = 4/-4

m = -1

Option B is correct

c) QR is longer than Q'R'

Length of QR (-3 to 2) = 5

Length of Q'R' (-6 to 4) = 10

QR is not longer than Q'R'

Option C is false

d) The vertices of the image are closer to the origin than those of the pre-image.

From the diagram, the vertices of the preimage are closer to the origin than those of the dilation image.

Option D is False

e) The distance from Q' to the origin is twice the distance from Q to the origin.

The distance from Q' to the origin (6 to 0) = 6

The distance from Q to the origin (3 to 0) = 3

The distance from Q' to the origin = 2(the distance from Q to the origin)

Option E is correct.

Read more about Dilated Objects at; brainly.com/question/10253650

#SPJ1

8 0
2 years ago
What number times another number equals 56
GuDViN [60]
The factors of 56 include
1 by 56
2 by 28
4 by 14
7 by 8
6 0
3 years ago
Read 2 more answers
Other questions:
  • At the beginning of the month a store had balance og -$554 during the month
    11·1 answer
  • The measure of arc AB = ??? degrees
    5·1 answer
  • Compute each quotient. (a) x^2-625 ÷ x-25 (b) x^3+1 ÷ x+1 (c) x^3- ⅛ ÷ x- ½ (d) x^2- 0.01 ÷ x- 0.1
    6·1 answer
  • What percentage of 9th-grade boys are likely to be involved in drinking?
    7·2 answers
  • What is the positive root of the equation x^2 + 5x = 150?
    14·1 answer
  • Can anyone help ASAP , thank you .
    13·2 answers
  • Right answer gets brainlist
    14·2 answers
  • How the pic<br> is it nice or dumb
    15·2 answers
  • 01101 + 10010 help please
    7·1 answer
  • If a= 2ft and c= 11ft. Find the missing side of the right triangle
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!