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
Veseljchak [2.6K]
3 years ago
8

The weight, X, of cherry tomatoes selected at random from a very large bin at the local supermarket follows a Normal distributio

n with mean 3 oz. and standard deviation 2 oz. Suppose we pick 8 cherry tomatoes from the bin at random (independently) and put them in our bag. What is the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz (rounded to the nearest 0.01)?
Mathematics
1 answer:
Vesna [10]3 years ago
7 0

Answer: the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05

Step-by-step explanation:

Given that;

X has normal distribution has mean µ = 3

standard deviation σ = 2  

now

P( x< 4) = P( (x-µ)/σ /(3-4)/5)

= P( z < -0.5 )

= 0.3085  {from the z-table}

X has binomial distribution with n = 8 and p = 0.3085

so P(x=5)

P(x=5) = 8C₅(0.3085)⁵ (1 - 0.3085)⁸⁻⁵

= 0.0517  ≈ 0.05

Therefore the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05

You might be interested in
Write and solve an equation to find the value of x and the missing angle measures.
Oksana_A [137]

Answer:

Step-by-step explanation:

1). Since, both the angles are vertically opposite angles,

  Measure of both the angles will be same.

  6x = 30

   x = 5

2). Since, both the angles are the linear pair of angles,

   (4 + 5x)° + (x + 2)° = 180°

    6x + 6 = 180

    6x = 180 - 6

    x = \frac{174}{6}

    x = 29

    Therefore, (4 + 5x)° = 4 + 5(29)

                                     = 149°

    And (x + 2)° = (29 + 2)

                        = 31°

3). Since, both the angles are linear pair of angles,

    5x° + (3x + 12)° = 180°

    8x + 12 = 180

    8x = 180 - 12

    x = \frac{168}{8}

    x = 21

    Therefore, 5x° = 5(21)

                             = 105°

    (3x + 12)° = 3(21) + 12

                    = 75°

8 0
3 years ago
Determine the intercepts of the line.
Damm [24]
Y int.: (0,-1.2)
X int.: (-0.7,0)
6 0
3 years ago
3.
nikitadnepr [17]

i think the answer is linear I am not sure though

4 0
3 years ago
Write an exponential equation in the form y = abx whose graph passes through points (4, 8) and (6, 32).
Artist 52 [7]

Answer:

Option C.

Step-by-step explanation:

The general exponential equation is

y=ab^x

It is given that the graph of exponential function passes through points (4,8) and (6,32). It means the equation of exponential function must be satisfied by these points.

8=ab^4       ...(1)

32=ab^6       ...(2)

Divide equation (2) by equation (1).

\dfrac{32}{8}=\dfrac{ab^6}{ab^4}

4=b^2

Taking square root on both sides.

2=b

Put b=2 in (1).

8=a(2)^4

8=16a

\dfrac{8}{16}=a

0.5=a

Substitute a=0.5 and b=2 in the given general exponential equation.

y=0.5(2)^x

Therefore, the correct option is C.

8 0
3 years ago
Evaluate the follow expression
STatiana [176]
I see the answers,but where is the problem (equation that needs to be solved)
4 0
3 years ago
Other questions:
  • To join a sports club, every new member pays an initial amount in addition to the monthly charges. The formula
    11·1 answer
  • Hey someone please please help me with this please i am really bad at math
    12·1 answer
  • Here is Kwame’s work writing the expression 4-2(x + 5) using fewer terms.
    11·2 answers
  • Find the standard form of the following...<br> 26
    14·1 answer
  • Find sin0, csc0 and cot0 where 0 is the angle shown in the figure. Give exact values, not decimal approximations? Thank you in a
    12·1 answer
  • How much are 6 of these $40’s
    12·1 answer
  • The question is in da image! ty its from Khan academy btw if that helps :)
    10·2 answers
  • The Grade 8 students had a graduation dinner. They paid a flat rate of $125 for the use of the hall, plus $13 for each student w
    11·1 answer
  • 5 less than one third of c
    11·1 answer
  • Which column shows the individuals in the study?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!