Answer:
<em>Step-by-step explanation:</em>
<em>Step 1. (The capture) Capture a sample total counted =958, and them back tagged counted=38,total tagged=56
</em>
<em>The idea is to estimate the proportion p = m/N of tagged =102.
</em>
<em>Step 2. (The recapture) After everything has settled down, capture a new sample of n fish. Count the number of tagged fish. Suppose that k of them are tagged.
</em>
<em>It is reasonable that, k/n would be a good estimante for p = m/N.
</em>
<em>Accordingly, for an estimate N of N, se solve the equation m/N= k/n.
</em>
Answer:
The answer is Tonya's phone had the greater initial trade-in value.
Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.
Step-by-step explanation:
Given
Tonya
Leo
Solving (a): The phone with greater initial value
The initial value is when x = 0. So, we have:
From Leo's table
By comparison;
i.e.
<em>So: Tonya's had the greater initial trade-in value</em>
Solving (b): The phone with lesser rate
An exponential function is:
Where:
For Tonya
For Leo, we have:
So, the equation becomes:
and
Solving , we have:
becomes
Divide both sides by 480
Take square roots
-- Leo's rate
By comparison; Leo's rate is slower i.e. 0.87 < 0.88
Answer:
X= 17
Step-by-step explanation:
According to graph, GMT time when the plane flew over the beacon was 9:24.
While looking closely at the graph on x axis , one will notice that each hour is divided into 5 parts and hence each part has 12 minutes. looking at y axis, one may find that each part on y axis resembles 20miles. Hence at 280 miles away from Bristol, The GMT time is 9:24.
<h3>What is a graph?</h3>
- In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
- The relationships between two or more items are frequently represented by the points on a graph.
- The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. Vertices (also known as nodes or points) make up a graph in this sense, which are connected by edges (also called links or lines).
- Undirected graphs, in which edges connect two vertices symmetrically, are distinguished from directed graphs, in which edges connect two vertices asymmetrically. One of the main topics of study in discrete mathematics is graphs.
Know more about graph numerical
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Answer:
C
Step-by-step explanation:
To solve this use the equation given in the problem and the value y = 50. Substitute y = 50 then solve for x by factoring.
Find two numbers which multiply to -100 and also add to -15. The numbers are -20 and 5.
So the factored form is (x-20)(x+5) = 0.
Set each factor equal to 0 and solve.
(x-20) = 0 so x = 20.
(x+5)=0 so x = -5.
This means the temperature is 20 degrees C or -5 degrees C. Only 20 is an option. The solutions is C.