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
Tanya [424]
3 years ago
8

Task:

Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0

Answer:

318 days or 10.6 months,

No, because the time between august and december is 8 months and it would take 10 to complete the tunnel

Step-by-step explanation:

start by determining the slope:

subtract the remaining distance from the total distance to determine distance so far, then divide by time.

m = (3200 - 1700)/5

m = 1500/5

m = 300

y = mx + b

Plug in to solve for x.

3200 = 300x + 0

3200 = 300x

divide y by m. This is x. (this is known as inverse operation if you didnt know already.)

3200 = 300(10.6_)

You might be interested in
A company with a large fleet of cars wants to study the gasoline usage. They check the gasoline usage for 50 company trips chose
Nookie1986 [14]

Answer:

The 95% confidence interval is given by (25.71536 ;28.32464)

And if we need to round we can use the following excel code:

round(lower,2)

[1] 25.72

round(upper,2)

[1] 28.32

And the interval would be (25.72; 28.32)  

Step-by-step explanation:

Notation and definitions  

n=50 represent the sample size  

\bar X= 27.2 represent the sample mean  

s=5.83 represent the sample standard deviation  

m represent the margin of error  

Confidence =88% or 0.88

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Calculate the critical value tc  

In order to find the critical value is important to mention that we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 88% of confidence, our significance level would be given by \alpha=1-0.88=0.12 and \alpha/2 =0.06. The degrees of freedom are given by:  

df=n-1=50-1=49  

We can find the critical values in R using the following formulas:  

qt(0.06,49)

[1] -1.582366

qt(1-0.06,49)

[1] 1.582366

The critical value tc=\pm 1.582366  

Calculate the margin of error (m)  

The margin of error for the sample mean is given by this formula:  

m=t_c \frac{s}{\sqrt{n}}  

m=1.582366 \frac{5.83}{\sqrt{50}}=14.613  

With R we can do this:

m=1.582366*(5.83/sqrt(50))

m

[1] 1.304639

Calculate the confidence interval  

The interval for the mean is given by this formula:  

\bar X \pm t_{c} \frac{s}{\sqrt{n}}  

And calculating the limits we got:  

27.02 - 1.582366 \frac{5.83}{\sqrt{50}}=25.715  

27.02 + 1.582366 \frac{5.83}{\sqrt{50}}=28.325

Using R the code is:

lower=27.02-m;lower

[1] 25.71536

upper=27.02+m;upper

[1] 28.32464

The 95% confidence interval is given by (25.71536 ;28.32464)  

And if we need to round we can use the following excel code:

round(lower,2)

[1] 25.72

round(upper,2)

[1] 28.32

And the interval would be (25.72; 28.32)  

6 0
3 years ago
Help please this problem has been bugging me
qaws [65]

Answer:

-452 \frac{6}{7}

Step-by-step explanation:

You just subtract the new elevation from the original, -355 \frac{2}{7} - 97 \frac{4}{7} = -452 \frac{6}{7}

5 0
3 years ago
You and 3 friends go to the movies. Each movie ticket costs $6.25. If your mom gave you $20.00 and you bought popcorn for $3.50,
Sedaia [141]

Answer:

Change = \$10.25

Step-by-step explanation:

Given

Individuals = 4 <em>(You and 3 friends)</em>

Total = \$20.00

Movie = \$6.25 per individual

Popcorn = \$3.50

Required

Determine the change

First, we need to determine the total amount spent on movie ticket.

The question does not state whether I pay for my friend's ticket.

So, we'll work on what is obvious.

i.e

Amount\ Spent\ on\ Ticket = \$6.25

Add this amount to the amount spent on popcorn

Amount\ Spent =\$6.25 + \$3.50

Amount\ Spent =\$9.75

To get the Change, we have to deduct the total amount spent from the amount given by mom

Change = \$20 - \$9.75

Change = \$10.25

Hence:

The change is $10.25

7 0
3 years ago
Circle O has radius 3. Points M and N lie on circle O, and mZMON is 58
algol [13]

Find attached to the question, a hand drawn diagram of the circle.

Complete Question

Circle O has radius 3. Points M and N lie on circle O, and mMON is 58

degrees. What is the length of arc MN in radians?

Answer:

The length of arc MN in radians is 3.03687 radians.

Step-by-step explanation:

The formula for arc length =

s = rѲ

Where = = Arc length

r = radius

Ѳ = central angle in degree

In the question we were given the following values

r = radius = 3 units

Ѳ = central angle in degree = 58°

We were told to calculate arc length in radians

Therefore, we would convert 58° to radians using the formula

Degree ×  π/180

= 58 ×  π /180

= 1.012 radians.

Therefore, Arc length in radians =

S = rѲ

S = 3 × 1.0122909662 radians

= 3.0368728985 radians.

Approximately = 3.03687 radians.

Therefore, the length of arc MN in radians is 3.03687 radians.

4 0
3 years ago
Solve for exponential the value of X
atroni [7]

{\qquad\qquad\huge\underline{{\sf Answer}}}

The two triangles are right angled Triangles and they have one common angle. so the two triangles are similar to each other.

By using similarity, ratio of their corresponding sides must be equal as well~

\qquad \sf  \dashrightarrow \:  \cfrac{1}{2 + 1}  =  \cfrac{3}{x}

\qquad \sf  \dashrightarrow \:  \cfrac{1}{3}  =  \cfrac{3}{x}

\qquad \sf  \dashrightarrow \: x = 3 \times 3

\qquad \sf  \dashrightarrow \: x = 9 \:  \: units

4 0
2 years ago
Other questions:
  • Simplify (5y^6u^-7)*(5u^9v^-6)*(3v^5y)
    13·1 answer
  • Determine which function has the greatest rate of change over the interval [0, 2].
    10·1 answer
  • In a racing game, Austin has traveled 1,988 meters from the starting line. He's cruising with confidence when suddenly he slips
    6·1 answer
  • paulita reads an average of 20 pages each day. she has six days to read 100 pages . will she finish her reading in 6 days? Expla
    11·1 answer
  • 1. mandy is saving her money to buy a new Bike. The bike she wants is a Diamond back, which
    8·1 answer
  • [tex]\sqrt{49} <br> please answer correctly
    7·1 answer
  • Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.
    6·1 answer
  • If you convert 1/4 to a decimal, you will get .35 True or False<br> O True<br> O False
    12·2 answers
  • Topic : Geometry <br> Can someone tell me what Conic sections is in 4-8 sentences ?
    11·1 answer
  • Se quieren llenar 100 botellas de agua con una capacidad de 1/4lt ¿cuantos litros de agua son necesarias?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!