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MariettaO [177]

3 years ago

14

Suppose researchers marked 800 turtles and later were able to trap a total of 300 individuals in that population, of which 150 w

ere marked. what is the estimate for total population size

1 answer:

aleksklad [387]3 years ago

8 0

The estimate for the total population size is 1600.

Setting up a proportion for this, we know that 150 out of our 300 turtle sample is marked; this is the first ratio for the proportion. We also know that we marked 800 of our total population, which we will call x:

150/300 = 800/x

Cross multiply:
150*x = 300*800
150x = 240000

Divide both sides by 150:
150x/150 = 240000/150
x = 1600

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(?,5) is on the line 4x-7y=1. Find the other half of the coordinate.

ludmilkaskok [199]

The coordinate is an ordered pair $(x,y)$ . We have a number, 5, for y, which we can substitute (plug-in) for y in the equation of the line and solve for x.

$4x-7y=1\\4x-7(5)=1\\4x=36\\x=9$

$(9,5)$

8 0

3 years ago

What is the slope of the line passing through the points (0,-5) and (4,2)?

alukav5142 [94]

Answer:

$\huge{ \boxed{ \tt{ \frac{ 7}{4} }}}$

Step-by-step explanation:

$\text{Let \: the \: points \: be \: A \: and \: B}$

$\sf{A \:( \: 0 \:, - 5 \: ) \longrightarrow{ \: (x1 \:, y1)}}$

$\sf{B(4 \:, 2) \: \longrightarrow{ \:( x2 \:, y2)}}$

$\underline{ \text{Finding \: the \: slope} }:$

$\boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1}}}$

$\sf{➳ \: Slope = \frac{2 - ( - 5)}{4 - 0}}$

$\sf{➳ \: Slope = \frac{ 2 + 5}{4} }$

$\sf{➳ \: Slope = \frac{7}{4} }$

$\text{Hope \: I \: helped!}$

$\text{Best \: regards!}$

~ $\text{TheAnimeGirl}$

3 0

4 years ago

2. What is an equation line that pass-cs through the point (3,-1) and h (4)

joja [24]

Y=mx+b
m=slope
b=y intercept
we are given (3,-1)
one solution is x=3 and y=-1 or
when x=3 then y=-1
also slope=2
so
y=2x+b
subsitue 3 for x and -1 for y and solve for b
-1=2(3)+b
-1=6+b
subtract 6
-7=b

y=2x-7 is equation

answer is number 4

5 0

3 years ago

Which of the following numbers has the correct number of significant digits for the sum of 4.0125 and 5.72?

sladkih [1.3K]

Answer:

the answer to your question is 9.73

6 0

2 years ago

Read 2 more answers

Solve each equation for 0≤x≤360<br> cos(x+45°)+cos(x-45°)= √2

andreev551 [17]

Answer:

0°

360°

Step-by-step explanation:

We want to solve the equation,

$\cos(x + 45) + \cos(x - 45) = \sqrt{2}$

We expand using trigonometric identities to get;

$\cos(x) \cos( 45) - \sin(x) \sin(45) + \cos(x) \cos( 45) + \sin(x) \sin(45) = \sqrt{2}$

$\frac{ \sqrt{2} }{2} \cos(x) - \frac{ \sqrt{2} }{2} \sin(x) + \frac{ \sqrt{2} }{2} \cos(x) + \frac{ \sqrt{2} }{2} \sin(x) = \sqrt{2}$

Simplify;

$\cos(x) - \sin(x) + \cos(x) + \sin(x) = 2$

Simplify;

$\cos(x) + \cos(x) = 2$

Add

$2\cos(x) = 2$

Divide by 2

$\cos(x) = 1$

Take cosine inverse;

In the

$x = \cos^{ - 1} ( 1) =0\degree$

Also in the 3rd quadrant cosine ratio is positive.

$x = 360-0= 360 \degree$

7 0

3 years ago