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777dan777 [17]
2 years ago
4

The elevation we call sea level is actually the average level of the sea. This means that at average sea level, the elevation is

zero. In reality, the level of the sea rises and falls in what are called tides. Low tide is the point of lowest sea level in a tidal period. High tide is the point of highest sea level in a tidal period. The height above or below average sea level is called elevation. An elevation below sea level is considered a negative value, while an elevation above sea level is positive.
Winston lives near the ocean. He regularly brings an altimeter to the beach to measure the elevation of the ocean’s surface. You will use the data Winston gathered to complete tasks about the rising and falling of the ocean’s surface. When necessary, sketch a diagram of the situation on a separate sheet of paper to assist you.
On Monday at 1pm, when the ocean’s surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean’s surface. At 7 p.m. when the ocean’s surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean’s surface.

What was the net change in the elevation of the ocean’s surface from 1 p.m. to 7 p.m.?
Mathematics
1 answer:
Lapatulllka [165]2 years ago
3 0

Answer:

-4.6 ft

Step-by-step explanation:

The question is asking for the net change in the ocean's surface elevation, so we can ignore the parts of the question that mention his own elevation at the time of the measuring. We can see at 1, the elevation was 2.2, and at 7, the elevation was -2.4. The net change is the whole change over the period of time, so we just need to find the difference between the two. Adding them together gives you the distance from each elevation the sea's surface was, which is -4.6 ft as the elevation decreased

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Jankord Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks. Typically, 10 p
dimulka [17.4K]

Answer:

P(X 0.9619

Step-by-step explanation:

From the given information;

the probability of getting returned p = 0.1

If eight rings are sold today, what is the probability that fewer than three will be returned;

According to binomial distribution

Binomial distribution is the probability of success or failure of an outcome of an experiment under observation which is usually repeated several trials. Binomial experiments are random experiment with fixed number of repeated experiment. If we cannot predict before head, the outcome of an experiment , the experiment is called a random experiment.

So , using binomial distribution to determine the probability that fewer than three will be returned;

i.e

P(X \sum_{x=0}^{2}\binom{8}{x}(0.1)^{x}(1-0.1)^{8-x}

P(X 0.9619

8 0
2 years ago
Lyn invested $7,000 into a investment paying 3% interest, compounded semi-annually, twice a year. After five years, how much wou
gayaneshka [121]

Answer:

Option B.) $8,123.79

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=5\ years\\ P=\$7,000\\ r=0.03\\n=2  

substitute in the formula above  

A=\$7,000(1+\frac{0.03}{2})^{2*5}  

A=\$7,000(1.015)^{10}=\$8,123.79  

3 0
2 years ago
The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

24 + AC + 24 = 82

Collect like terms

AC = 82 - 24 - 24\\AC = 34

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

D = \frac{1}{2}AC

D = \frac{1}{2} * 34

D = \frac{34}{2}

D = 17

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

7 0
2 years ago
Read 2 more answers
I NEED HELP PLEASE, THANKS! :) Use the graph to determine the domain and range of the relation, and state whether the relation i
Mandarinka [93]

Answer:

Domain: All numbers greater than or equal to 0. By definition, the domain of a graph, is the possible x values.

Range: All real numbers. By definition, the range is all possible x values.

Not a function. A function has y value for every x value.

3 0
2 years ago
The figure shows two semicircles centered at G and H. Point B is on both semicircles. Line DF touches each circle at one point o
kondaur [170]

Answer:

bro you need to put a picture because you can only solve it like that

Step-by-step explanation:

do that

3 0
2 years ago
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