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
lesya [120]
3 years ago
9

On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 483 pounds and a standard deviati

on of 70 pounds. The cow transport truck holds 5 cows and can hold a maximum weight of 2840. If 5 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 2840
Mathematics
1 answer:
Blababa [14]3 years ago
4 0

Answer: 0.0033

Step-by-step explanation:

Let x be a random variable that denotes the weights of cows.

Given: \mu = 483,\ \sigma=70

maximum weight can be hold= 2840 pounds.

Mean weight = \frac{2840}{5} = 568 pounds

The probability their total weight will be over the maximum allowed of 2840

= P(X>2840)

P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{568-483}{\dfrac{70}{\sqrt{5}}})\\\\=P(z>2.715)\\\\=1-P(z

Hence, the required probability = 0.0033

You might be interested in
A city planner is rerouting traffic in order to work on a stretch of road. The equation of the path of the old route can be desc
earnstyle [38]

Answer: D

Explanation:

The equation of a line in the point slope form is expressed as

y - y1 = m(x - x1)

where

m represents slope

x1 and y1 represents coordinates of the point that the line passes.

From the information given, the equation of the path of the old route is

y = 2x/5 - 4

Recall, the equation of a line in the slope intercept form is expressed as

y = mx + c

By comparing both equations,

slope, m = 2/5

If two lines are parallel, it means that they have the same slope. Given that the new route is to be parallel to the old route and will go through point (Q, P), then

m = 2/5

x1 = Q

y1 = P

The equation of the new route be

y - P = 2/5(x - Q)

5 0
1 year ago
The length of a rectangle is five times its width.
Marizza181 [45]

ANSWER

96 yd

EXPLANATION

Let the width of the rectangle be w, then, the length of the rectangle will be:

l = 5w

The area of a rectangle is calculated using the formula:

Area=l \times w

Area=5w \times w

Area=5 {w}^{2}

It was given that, the area of the rectangle is 320yd²

320=5 {w}^{2}

Divide both sides by 5.

64 =  {w}^{2}

Take square root of both sides to get:

w = 8yd

This means the length is

l = 5 \times 8 = 40yd

The perimeter of a rectangle is given by:

P=2(w+l)

We plug in the values to get:

P=2(40 + 8) = 2 \times 48 = 96yd

The perimeter is 96yd

5 0
3 years ago
They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm
elena-s [515]

Answer:

big pp is answer ok big pp is good hehe

7 0
3 years ago
Which line has a slope -2?
ivanzaharov [21]

Answer:

B) Line B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Calculate the value of 4321 (base 5) + 343 (base 5)​
AnnZ [28]

In the "1s" place,

1₅ + 3₅ = 4₅

In the "5s" place,

2₅ + 4₅ = (6)₅ = (5 + 1)₅ = 10₅ + 1₅ = 11₅

In the "25s" place, we carry the leading 1 from the "5s" place,

3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅

In the "125s" place, we carry over the 1 again,

4₅ + 1₅ = (5)₅ = (5 + 0)₅ = 10₅ + 0₅ = 10₅

Putting everything together,

4321₅ + 343₅ = 10214₅

8 0
3 years ago
Other questions:
  • Saleem wants to create a table of ratios that are equivalent to 2/3. He includes the ratios 4/5 and 5/6.
    5·2 answers
  • What is 9- negative 7?
    8·1 answer
  • What is the slope and y intercept of this graph
    7·1 answer
  • 36+42=6(6+?) what unknown number makes. the equation true ?
    9·1 answer
  • -pretty easy- I just don't know how to do it...
    10·1 answer
  • 1. MGSE7.G.4: A flower garden is circular. The diameter of the garden is 20 feet.
    12·1 answer
  • Max scored a 75% on his math test if there were 28 questions,How many questions did he get wrong?
    9·1 answer
  • Giving brainliest so no links
    12·2 answers
  • What is the slope of the line that passes through the points (2, -3) and (2,−13) ?Write your answer in simplest form.
    11·1 answer
  • If Jeremy drinks 1 1/2 quarts of coffee every 3 days, how many liters of coffee would Jeremy drink in 3 weeks? (1 quart = 0.946
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!