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
Strike441 [17]
3 years ago
5

Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4

.5 inches.
Calculate the range of horn lengths for the middle 99.7% of Texas longhorn cattle.

A.
51 in.–60 in.

B.
51 in.–69 in.

C.
60 in.–73.5 in.

D.
46.5 in.–73.5 in.
Mathematics
1 answer:
spin [16.1K]3 years ago
8 0

Answer:

D. 46.5 in.–73.5 in.

Step-by-step explanation:

We have been given that horn lengths of Texas longhorn cattle are normally distributed.

\text{The mean spread for horn lengths of Texas cattle } (\mu)=\text{60 inches}

\text{The standard deviation for horn lengths of Texas cattle } (\sigma)=\text{4.5 inches}

Since the empirical rule states that about 99.7% of the population lies within the 3 standard deviation. So according to normal distribution the range for the middle 99.7% of the values is: [\mu-3\sigma,\mu+3\sigma].

Upon substituting our given values we will get,

[60\text{ inches }-3*4.5\text{ inches },60\text{ inches }+3*4.5\text{ inches }]

[60\text{ inches }-13.5\text{ inches },60\text{ inches }+13.5\text{ inches }]

[46.5\text{ inches },73.5\text{ inches }]

Therefore, the range of horn lengths for the middle 99.7% of Texas longhorn cattle is 46.5 inches to 73.5 inches and option D is the correct choice.

You might be interested in
Given the following figure. What is the value of x
Nookie1986 [14]
Why?

Because if you draw a line from A to D to make a triangle AED, then triangle all angle add up equal 180.

3 0
3 years ago
Read 2 more answers
1) Twice a number decreased by four is 32.<br> What is the number?
jeyben [28]

Answer:

6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How do I find the x-intercept to this?<br><br> 9x + 12y= 36
Wewaii [24]
You can simply put the equation as 9x = 36 and divide by 9, then x = 4
4 0
3 years ago
Read 2 more answers
How many 3cm cubes can be put in a box 3cm long 6cm wide 12cm high?
lisov135 [29]

Answer:

8

Step-by-step explanation:

A cube is equal on all sides. Therefore the cubes must be 3cm x 3cm x 3cm. Therefore, each cube has an area of 27cm^3. The box that the cube has an area in is 3cm x 6cm x 12 cm which = 216cm^3. If you do 216cm^3/27cm^3 = 8 cubes

7 0
2 years ago
Read 2 more answers
Which of the following equations is an example of inverse variation between
Romashka [77]

For this case we have that by definition, a direct variation is given by:

y = kx

Where:

k: It is the constant of proportionality of the variables.

On the other hand, we have that the inverse variation is given by:

y = \frac {k} {x}

Where:

k: It is the constant of proportionality of the variables.

In this way, the correct option is: y = \frac {9} {x}

ANswer:

Option A

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following numbers can be expressed as non-terminating decimals? 8 over 9, 3 over 5, 1 over 6, 7 over 2 3 over 5 and
    7·1 answer
  • 1cm is equal to how much kilometers
    12·1 answer
  • Solve the following equation: 3x^3+5x^2-4x-4=0
    10·1 answer
  • Fitness Classes cost £6 per person. The table shows the number of people who go to the classes on Thursday, Friday and Saturday.
    8·1 answer
  • How to find the area of a square with radius 17 square root 2
    6·1 answer
  • Lins father is paying $20 for a meal. He has 15%-off coupon for the meal. After the discount, 7% sales tax is applied, How much
    11·1 answer
  • Solve this^ because I don’t know how
    7·1 answer
  • Find the Surface Area of the following figure.<br><br> a. 64 <br> b . 32
    14·2 answers
  • Use a factor tree to find the GCF of 32 and 80.
    5·1 answer
  • Type the integer that makes the following subtraction sentence true:<br> _____ − –99 = 3
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!