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
Snowcat [4.5K]
3 years ago
15

On September 17, 2008, high tide in Portland was at midnight. The water level at high tide was 10.3 feet; later, at low tide, it

was 0.3 feet. Assuming the next high tide is exactly at 12 noon and that the height of the water is given by a sine or cosine curve, find a formula for the water level in Portland as a function of time, where y is the water level in feet, and t is the time measured in hours from midnight.
Mathematics
1 answer:
____ [38]3 years ago
7 0
So the problem ask to calculate and formulate a function that could represent the water level in Portland if y is the water level and t is for time in hour so the possible answer would be that y=cosine(t)-0.3. I hope you are satisfied with my answer and feel free to ask for more
You might be interested in
A random sample of 20 recent weddings in a country yielded a mean wedding cost of $ 26,388.67. Assume that recent wedding costs
Makovka662 [10]

Answer:

a) 95% confidence interval for the mean​cost, μ​, of all recent weddings in this country = (22,550.95, 30,226.40)

.The​ 95% confidence interval is from $22,550.95 to $30,226.40.

b) For the interpretation of the result, option D is correct.

We can be​ 95% confident that the mean​ cost, μ​, of all recent weddings in this country is somewhere within the confidence interval.

c) Option B is correct.

The population mean may or may not lie in this​ interval, but we can be​ 95% confident that it does.

Step-by-step explanation:

Sample size = 20

Sample Mean = $26,388.67

Sample Standard deviation = $8200

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = 26,388.67

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population mean and standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 20 - 1 = 19.

Significance level for 95% confidence interval

(100% - 95%)/2 = 2.5% = 0.025

t (0.025, 19) = 2.086 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 8200

n = sample size = 20

σₓ = (8200/√20) = 1833.6

99% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 26,388.67 ± (2.093 × 1833.6)

CI = 26,388.67 ± 3,837.7248

99% CI = (22,550.9452, 30,226.3948)

99% Confidence interval = (22,550.95, 30,226.40)

a) 95% confidence interval for the mean​cost, μ​, of all recent weddings in this country = (22,550.95, 30,226.40)

.The​ 95% confidence interval is from $22,550.95 to $30,226.40.

b) The interpretation of the confidence interval obtained, just as explained above is that we can be​ 95% confident that the mean​ cost, μ​,of all recent weddings in this country is somewhere within the confidence interval

c) A further explanation would be that the population mean may or may not lie in this​ interval, but we can be​ 95% confident that it does.

Hope this Helps!!!

4 0
3 years ago
Help please :(??? I need an answer
Alecsey [184]

Answer:

C. $23 per day.

Step-by-step explanation:

The equation given is in slope-intercept form: y = mx + b, where m is the rate of change (slope).

In the given equation, m = 23, therefore, the rate of change is 23 units (in this case, dollars per day).

Hope this helps!

8 0
3 years ago
Slove for y . 3x+2y=-6
borishaifa [10]

Answer:

y = -(6+3x)/2

Step-by-step explanation:

♪\(*^▽^*)/\(*^▽^*)/

8 0
2 years ago
Mark used his debit card to buy groceries for $87 on Saturday and gas for $41 on Sunday. If his bank account balance is now $542
nirvana33 [79]

Answer:

414

Step-by-step explanation:

87+41=128

542-128=414

8 0
3 years ago
Read 2 more answers
Show that the following number is rational: 7.526262626... show all work, discrete math
Lemur [1.5K]

x=7.5\overline{26}\\10x=75.\overline{26}\\1000x=7526.\overline{26}\\1000x-10x=7526.\overline{26}-75.\overline{26}\\990x=7451\\x=\dfrac{7451}{990}

It can be expressed as a fraction with integer numerator and denominator, so it's a rational number.

6 0
3 years ago
Other questions:
  • Choose the point on the terminal side of -45°. (-3, -3) (4, -4) (5, 5) (-2, 2)
    5·2 answers
  • the top of a hill rises 105 feet above -191. What is the altitude of the top of the hill? (ft) , and how much higher is -125 tha
    8·1 answer
  • What do they call it mathematics
    15·1 answer
  • Jared has $32.He buys 5 packs of trading cards that cost $3 each and a display book that cost $3 each and a display book that co
    9·1 answer
  • A country will produce 3000 missiles this year. Each of the short-range missiles cost $200000 to produce. Each of the medium-ran
    9·1 answer
  • (-12,8), (9,1)<br> What is the point-slope form of the equation of the line?
    6·1 answer
  • Round 75,499 to the nearest thousand.
    11·2 answers
  • I have problems Understanding systems Variable like this example
    8·1 answer
  • Solve for x.<br><br> 2/5 x = 6/5
    6·2 answers
  • Find the unit rate for this situation. Please DO NOT use any extra spaces or
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!