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
Nostrana [21]
3 years ago
7

When Hailey commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 21 minutes and a

standard deviation of 3.5 minutes. Out of the 211 days that Hailey commutes to work per year, how many times would her commute be between 19 and 26 minutes, to the nearest whole number?
Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer: 135 days

Step-by-step explanation:

Since the amount of time it takes her to arrive is normally distributed, then according to the central limit theorem,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 21 minutes

σ = 3.5 minutes

the probability that her commute would be between 19 and 26 minutes is expressed as

P(19 ≤ x ≤ 26)

For (19 ≤ x),

z = (19 - 21)/3.5 = - 0.57

Looking at the normal distribution table, the probability corresponding to the z score is 0.28

For (x ≤ 26),

z = (26 - 21)/3.5 = 1.43

Looking at the normal distribution table, the probability corresponding to the z score is 0.92

Therefore,

P(19 ≤ x ≤ 26) = 0.92 - 28 = 0.64

The number of times that her commute would be between 19 and 26 minutes is

0.64 × 211 = 135 days

You might be interested in
Factor the following equation to find its zeros. y = x² - 36
alukav5142 [94]

Answer:

x = 6, x = - 6

Step-by-step explanation:

Given

y = x² - 36

To find the zeros let y = 0, that is

x² - 36 = 0 ← x² - 36 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x² - 36 = 0

x² - 6² = 0

(x - 6)(x + 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 6 = 0 ⇒ x = - 6

3 0
3 years ago
What is the solution to y = x + 2 and y = 3x – 2 and how do you know? PLEASE HELPPPPP! THANK U!
Nutka1998 [239]

Answer:

(2,4)

Step-by-step explanation:

We have the system:

y=x+2

y=3x-2.

This is already setup for substitution.

I'm going to replace my first y with what the second y equals.

That is, I'm going to write 3x-2=x+2.

Time to solve the following for x:

3x-2=x+2

Subtract x on both sides:

2x-2= 2

Add 2 on both sides:

2x. = 4

Divide both sides by 2:

x. = 2

Now that we know x=2 and we have an equation that relates x to y: either y=x+2 or y=3x-2, doesn't matter which we use, we can find y.

So we y=x+2 with x=2 which means y=2+2=4.

So the solution, the intersection, is (2,4).

5 0
3 years ago
Read 2 more answers
Can y’all help me with this answer choice question plz
serg [7]

Answer:

G, 113.04

Step-by-step explanation:

To find the area of the head of the nail you need to use the*

> A= π*r^2* A equals area, π equals pi(3.14) and then you square your raidius, which is 6 in your case.

π*r^2

plug in your six as the *r

π*6*^2

solve 6^2=36 and multiply that by your π which is 3.14

3.14*36

=113.04

Hope that helped!! :)

3 0
3 years ago
Read 2 more answers
Elvira is comparing prices between two different suppliers of fresh lettuce. Val’s Veggies charges $250 for delivery plus $1.50
ad-work [718]

Answer:

61 bags of lettuce

Step-by-step explanation:

Let's create two equations representing the cost of bags of lettuce:

Val's Veggies: 250 + 1.50x = V

Sally's Salads: 100 + 4.00x = S

If you buy 60 bags of lettuce from either store, the answers will be equivalent:

If x = 60

250 + 1.50x = V

250 + 90 = V

340 = V

100 + 4.00x = S

100 + 240 = S

340 = S

Now that both equations are equivalent, all we need to do to tip the balance and make Val's Veggies cheaper is purchase one more bag of lettuce:

x = 61

250 + 1.50x = V

250 + 91.50 = V

341.50 = V

100 + 4.00x = S

100 + 244 = S

344 = S

Since V represents the price of a bag of lettuce at Val's Veggies and V is now less than S (Sally's Salads), Val's Veggies is now the cheaper option.

Therefore, 61 bags of lettuce must be purchased in order for Val's Veggies to be the cheaper option.

7 0
3 years ago
The owners added a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet ta
Brrunno [24]

Answer:

43100

Step-by-step explanation:

A rectangular one-story house covers an area of 3,700 square feet. The ceilings are 8 feet high. The owners add a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet high. What is the total volume of the interior of the house?

Volume = length x width x height

or volume =  area x height

Volume of the one- storey  = 3700 x 8 = 29600 square feet

Volume of the second floor = 50 x 30 x 9 = 13500 square feet

volume of interior = 29600 + 13500 = 43100 square feet

7 0
2 years ago
Other questions:
  • Cell phone company X charges $15 for 120 minutes.Cell phone Company Y charges $25.95 for 300minutes.Which company has the lowest
    13·1 answer
  • The real numbers between -1 and 1, inclusive. Use set builder notation
    8·1 answer
  • Plato math help please
    5·1 answer
  • What is 65,754.59 rounded to the nearest tenth
    8·2 answers
  • Solve for y: 1/3y+4=16
    7·2 answers
  • Does anyone get this
    15·2 answers
  • The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu
    15·1 answer
  • I am extremely confused about the length of line segment AB. Could I get some help? (I have attached an image to this post)
    10·1 answer
  • 14. Choose the best description of the polynomial:
    14·1 answer
  • Carolyn lives near two parks. Centennial Park is 2 km away and Canatara Park is 2,548 meters away. Canatara Park is located clos
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!