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
tankabanditka [31]
3 years ago
6

The wait time for your local pizzeria to deliver food is normally distributed with µ = 40 minutes and σ = 3.5. What is the proba

bility the next pizza delivery will take over 47 minutes? 2.15% 13.6% 2.28% 4.56%
Mathematics
1 answer:
Scilla [17]3 years ago
7 0

Answer:

2.28%

Step-by-step explanation:

Given that:

µ = 40 minutes ; σ = 3.5.

x = > 47 minutes

Obtain the standardized score, Z

Zscore = (x - μ) / σ

P(x > 47) = (47 - 40) / 3.5

P(x > 47) = 7 / 3.5

P(x > 47) = 2

P(z > 2) = 0.02275

Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%

You might be interested in
Pete is saving up for a bike and knows he'll need to spend at least $220 to get the one he wants. He saves $45 each month. How l
prisoha [69]
220= 45*x. I hope you are satisfied with my answer.
4 0
4 years ago
22. An employee joined a company in 2017 with a starting salary of $50,000. Every year this employee receives a raise of $1000 p
Setler79 [48]

Answer:

(a) The recurrence relation for the salary is

S_{n+1}=1.05*S_n+1000\\\\S_0=50000

(b) The salary 25 years after 2017 will be $217044.85.

(c) S_n=1.05^nS_0+1000*\sum_{0}^{n-1}1.05^n

Step-by-step explanation:

We can define the next year salary S_{n+1} as

S_{n+1}=S_n+1000+0.05*S_n=1.05*S_n+1000

wit S0=$50000

If we extend this to 2 years from 2017 (n+2), we have

S_{n+2}=1.05*S_{n+1}+1000=1.05*(1.05*S_n+1000)+1000\\S_{n+2} =1.05^2*S_n+1.05*1000+1000\\S_{n+2}=1.05^2*S_n+1000*(1.05^1+1)

Extending to 3 years (n+3)

S_{n+3}=1.05*S_{n+2}+1000=1.05(1.05^2*S_n+1000*(1.05^1+1))+1000\\\\S_{n+3}=1.05^3S_n+1.05*1000*(1.05^1+1)+1000\\\\S_{n+3}=1.05^3*S_n+1000*(1.05^2+1.05^1+1)

Extending to 4 years (n+4)

S_{n+4}=1.05*S_{n+3}+1000=1.05*(1.05^3*S_n+1000*(1.05^2+1.05^1+1))+1000\\\\S_{n+4}=1.05^4S_n+1.05*1000*(1.05^2+1.05^1+1))+1000\\\\S_{n+4}=1.05^4S_n+1000*(1.05^3+1.05^2+1.05^1+1.05^0)

We can now express a general equation for S_n (salary at n years from 2017)

S_n=1.05^nS_0+1000*\sum_{0}^{n-1}1.05^n

The salary at 25 years from 2017 (n=25) will be

S_{25}=1.05^{25}S_0+1000*\sum_{0}^{24}1.05^i\\\\S_{25}=3.386*50000+1000*47.72=217044.85

8 0
4 years ago
8.546 rounded to the nearest hundredths
djverab [1.8K]

Answer:

the answer is 8500 as 4 is not greater than or equal to 5

6 0
1 year ago
Can somebody answer this? thankyu​
kvasek [131]

Answer:

1. 3, 12, 48, 192, 768               Ratio: x4

2. 8, 16, 32, 64, 128                Ratio: x2

3. 120, 60, 30, 15, 7.5             Ratio: ÷2

4. 5, 10, 20, 40, 80, 160          Ratio: x2

5.  1.3?, 4, 12, 36, 108, 324      Ratio: x3

Hope this helps!

I'm not sure about the first one on question 5 though.

8 0
3 years ago
I need help with This question it saids how would you compare 2.3 feet To 27.1 inches
Savatey [412]

Answer:

TOP RIGHT BOX

2.3 x 12 = 27.6

27.6 > 27.1

Step-by-step explanation:

First thing you need to do is make their units the same.

There are 12 inches in a foot so we convert 2.3 feet to inches by multiplying 2.3 by 12:

2.3 x 12 = 27.6

You can also approach it like this:

12in = 1 ft

2.3ft\times\dfrac{12inches}{1ft}=27.6

So if we compare the two then we know that:

27.6 > 27.1

8 0
3 years ago
Other questions:
  • What is the range of f(x) = 3x + 9?
    5·2 answers
  • A copy machine can duplicate 2400 copies in one hour how many copies can it make per minute
    6·2 answers
  • Which set is an example of like fractions? A. 2⁄1 and 2⁄3 B. 1⁄2 and 3⁄2 C. 7⁄4 and 4⁄7 D. 10⁄10 and 5⁄5
    7·2 answers
  • In 217,534,896,000,000 which digit is in the ten-billions place
    10·1 answer
  • Here are my answers for a & b I am unsure if they are OK and definitely I need help on part c & d
    15·1 answer
  • Fill in the missing work and justification for step 3 when solving 2(x + 1) = 10. Step Work Justification 1 2(x + 1) = 10 Given
    14·2 answers
  • If 50% of days are sunny and 50% of days are rainy, what is the ratio of sunny days to rainy
    5·2 answers
  • I need help asap if Simeón could help me in 3 more problems
    10·1 answer
  • A typewriter types 840 words in 2.4 hours. Working at the same rate, how many words will he type in 3.6 hours?
    6·2 answers
  • Chose the equation that best matches the line on the graph.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!