answer.
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
Sergio039
2 months ago
3

The distribution of lengths of salmon from a certain river is approximately normal with standard deviation 3.5 inches. If 10 per

cent of salmon are longer than 30 inches, which of the following is closest to the mean of the distribution? 26 inches A 28 inches B 30 inches C 33 inches D 34 inches
Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
7 0

Response:

26

Detailed explanation:

AnnZ [12.3K]2 months ago
4 0

Answer:

The value closest to the distribution's mean is 30 inches ⇒ B

Step-by-step explanation:

The z-score formula is z = (x - μ)/σ, where x represents the score, μ denotes the mean, and σ signifies the standard deviation.

Given that the lengths of salmon from a specific river follow a normal distribution with a standard deviation of 3.5 inches:

∴ σ = 3.5 inches

Since 10 percent of salmon exceed 30 inches:

- It implies P(x > 30) = 10%.

∵ 10% is equal to \frac{10}{100} = 0.10.

∴ P(x > 30) = 0.10.

Utilize the normal distribution table to identify the z-score that correlates with 0.10 of the distribution's area.

∵ x = 26 inches.

- The x value is lower than 30, so the z-score will be negative.

∵ The z-score that corresponds to the area of 0.10 is -1.285.

- Insert this into the z-score formula stated above.

∴ -1.285 = (26 - μ)/3.5.

- Multiply both sides by 3.5.

∴ -4.4975 = 26 - μ.

- Add μ to both sides.

∴ μ - 4.4975 = 26.

- Add 4.4975 to both sides.

∴ μ = 30.4975.

- Round to the nearest whole number.

∴ μ ≈ 30.

∴ The closest value to the distribution's mean is 30 inches.

You might be interested in
Write the standard form of the line that contains a slope of -3/8 and passes through the point (5, -4). Include your work in you
zzz [12365]
The answer with the work has been provided previously.
6 0
1 month ago
Read 2 more answers
The sharks are fed three times a day. During the morning feeding , 2/15 tons of fish is fed. During the afternoon feeding, the w
zzz [12365]

Answer:

1/6 ton of fish is provided during the night feeding.

Step-by-step explanation:

The fish consumed in the morning is \dfrac{2}{15} tons, and the amount of fish served in the afternoon is \dfrac{1}{15} greater than in the morning. This means

\dfrac{2}{15} +\dfrac{1}{15}

Let’s represent the quantity of fish given at night as x, and if the total fish fed throughout the day equals \dfrac{1}{2}, we have

\dfrac{2}{15}+(\dfrac{2}{15} +\dfrac{1}{15})+x=\dfrac{1}{2}

By summing the numerators on the left side, we derive:

\dfrac{5}{15} +x=\dfrac{1}{2}

and subtracting \dfrac{5}{15} from both sides allows us to isolate x:

x=\dfrac{1}{2} -\dfrac{5}{15}

Since \dfrac{5}{15} =\dfrac{1}{3}, we derive

x=\dfrac{1}{2}-\dfrac{1}{3}

The common denominator for the fractions is 6; hence, we write the equation in the form

x=\dfrac{3}{6}-\dfrac{2}{6}

and simplifying the numerators results in:

\boxed{x=\dfrac{1}{6} }

which indicates the amount of tons fed during the night feeding.

7 0
1 month ago
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
babunello [11817]

Response:

Each associate incurs a cost of $700 daily for the client, meaning that 'a' associates will cost the client 700a dollars each day. For each partner, the charge is $1500 daily, so 'p' partners will accumulate a cost of 1500p dollars daily. The cumulative bill amounts to 700a + 1500p = $14100:

700a + 1500p = 14100

700a + 1500p = 14100

Given that there are a total of 11 lawyers assigned (associates and partners), the equation a + p must equal 11.

a + p = 11

a + p = 11

\underline{\text{Formulate System of Equations:}}

Formulate System of Equations:

​

700a + 1500p =

700a + 1500p = 14100

14100

a + p = 11

11

8 0
2 months ago
Terrence walks at a pace of 2 mi/h to the theater and watches a movie for 2 hours and 15 min he rides a bus back home at 40 mi/h
zzz [12365]

Solution:

Let x be the distance in miles from the house to the theater.

Total time taken for the trip =3.5-2.25=1.25 Hr

Then average speed =\frac{Distance}{Time}= \frac{2x}{1.25}\\

Terrence walks at a speed of 2 miles per hour to the theater and returns home at 40 miles per hour.

Thus, Average Speed =\frac{2+40}{2}= 21\\ mi/hr

Both average speeds must be equivalent. Hence, we can express this as:

\frac{2x}{1.25}=21\\
\\
2x=1.25*21\\
\\
x=13.125\\

Consequently, the distance from home is 13.125 miles.

4 0
2 months ago
.072 divided by 345.00 and round to the nearest tenth. Thank you!
Inessa [12570]
0.072 divided by 345

= \frac{0.072}{345} = 0.000208695652174 approximately 0.00020
3 0
1 month ago
Read 2 more answers
Other questions:
  • A chain weighs 10 pounds per foot. How many ounces will 4 inches weigh?
    9·2 answers
  • Which statement about the lines below is true?
    7·1 answer
  • Carlon plans to evaporate a number of gallons of water from 90 gallons of a 15% salt solution to make a 25% salt solution. which
    13·2 answers
  • The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism. Find the volume of each
    6·2 answers
  • Question: 2. Musah Stands At The Centre Of A Rectangular Field. He First Takes 50 Steps North, Then 25 Steps West And Finally 50
    15·1 answer
  • Which is the missing number: 9876, 6447, 2527, x?
    15·1 answer
  • Beth is using triangular shaped pieces to cover the front of a pillow. The base of each triangle is 9 inches and the height of
    11·2 answers
  • Assume that the distribution of weights of adult men in the United States is normal with mean 190 pounds and standard deviation
    11·1 answer
  • Inez says you can plot 4/0 on a number line, but Jeremiah says you cannot. Who is correct?
    7·1 answer
  • If today is your 15th birthday, how many seconds old are you? Show your work. Explain your process. (Calculate as if you were bo
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!