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
QveST [7]
3 years ago
7

Michelle drove a total of 57.8 kilometers on saturday. she drove 23.5 kilometers from her house to the park. her next stop was t

he library, which is 18.3 kilometers from the park. she drove 5.7 kilometers from the library to the grocery store. what is the distance from michelle's house to the grocery store.
Mathematics
1 answer:
muminat3 years ago
4 0
From the question, we can create the equation
57.8 = 23.5 + 18.3 + 5.7 + x
This equation says that the total distance traveled (57.8 km) is equal to all the distances she drove, plus the final distance back home.
Solving for x, we get that x = 10.3 km
You might be interested in
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.9 per year. a. Find t
VLD [36.1K]

Answer:

a) 9.52% probability​ that, in a​ year, there will be 4 hurricanes.

b) 4.284 years are expected to have 4 ​hurricanes.

c) The value of 4 is very close to the expected value of 4.284, so the Poisson distribution works well here.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

6.9 per year.

This means that \mu = 6.9

a. Find the probability​ that, in a​ year, there will be 4 hurricanes.

This is P(X = 4).

So

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 4) = \frac{e^{-6.9}*(6.9)^{4}}{(4)!}

P(X = 4) = 0.0952

9.52% probability​ that, in a​ year, there will be 4 hurricanes.

b. In a 45​-year ​period, how many years are expected to have 4 ​hurricanes?

For each year, the probability is 0.0952.

Multiplying by 45

45*0.0952 = 4.284.

4.284 years are expected to have 4 ​hurricanes.

c. How does the result from part​ (b) compare to a recent period of 45 years in which 4 years had 4 ​hurricanes? Does the Poisson distribution work well​ here?

The value of 4 is very close to the expected value of 4.284, so the Poisson distribution works well here.

5 0
3 years ago
A cell phone company charges a flat Rate of 4.75 per month with an additional charge .19 per minute. How many minutes did alexan
mote1985 [20]

Answer:The number of minutes that Alexandra talked on her cell phone is 120

Step-by-step explanation:

A cell phone company charges a flat rate of 4.75 per month with an additional charge 0.19 per minute. Assuming the total number of minutes of call made for the month is represented by x and the total cost of x minutes of call is y, then

y = 0.19x + 4.75

To determine how many minutes that Alexandra talked on her cell phone if his monthly bill was 27.55, we would substitute y = 27.55 into the equation. It becomes

27.55 = 0.19x + 4.75

0.19x = 27.55 - 4.75 = 22.8

x = 22.8/0.19 = 120 minutes.

8 0
3 years ago
A state official wants to know which party the voters in his state feel is best qualified to lead the country over the next 10 y
VARVARA [1.3K]

Answer:

1. B

2. C

Step-by-step explanation:

1. B

The sample of any set would be smaller version of a larger group. It is often a subset that contains some or all the characteristics of the main set, or the larger general population. The usage of samples comes into play in statistics when the population sizes of interest are too large for the test to contain all the needed members for it to take place. So, from this question, the sample size is the 325 questionnaires that were returned in the first place.

2. C

I thin the answer is survey with little bias since the voters know what they want. This is because while answering the survey, the voters know who they want to vote for upfront, and didn't need to gave their mind change by anyone on the survey.

7 0
2 years ago
The radius of the base of a metallic rod is 2 centimeters, and its height is 15 centimeters. What is the volume of this cylinder
Studentka2010 [4]
It is C because it’s right
7 0
2 years ago
Aaron is 63 inches tall. In oder to ride a roller coster at a amusement park,a person must ne be at 5 feet tall. Is Aaron tall e
NARA [144]
Yes, Aaron is 5'3. He is tall enough to ride the roller coaster.
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the nonpermissible value of x in 5x/6x+3
    9·1 answer
  • Sarah's craft project uses pieces of yarn that are 1/8 yard long. She has a piece of yarn that is 3 yards long. How many 1/8 yar
    6·1 answer
  • You use 4 gallons of water on 30 plants in your garden. At that rate, how much water will it take to water 45 plants?
    9·2 answers
  • What do you call a product of a square of a binomial?
    12·1 answer
  • Factored form of 16m^4-121
    14·1 answer
  • The points given in the table lie on a line. Find the slope of the line.
    9·1 answer
  • Guided Practice
    8·1 answer
  • Help if you love the boiz
    10·1 answer
  • PLEASE HELP you just have to help with a few
    12·1 answer
  • Pls help me do this question but pls don't get it wrong this is my attempt ​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!