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Luden [163]
2 years ago
9

Cory is a bird-watcher. He estimates that 30% of the birds he sees are American robins, 20% are dark-eyed juncos, and 20% are so

ng sparrows. He designs a simulation. Let 0, 1, and 2 represent American robins Let 3 and 4 represent dark-eyed juncos. Let 5 and 6 represent song sparrows. Let 7, 8, and 9 represent other birds The table shows the simulation results. According to the simulation, what is the probability that at least one of the next five birds he sees is a song sparrow?
A.)0.35
B.)0.2
C0.65
D.)0.5​

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
6 0

Answer: 0.65

Step-by-step explanation:

the probability is high

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Geometry question, need help!
Anna35 [415]

Answer:

x = 7.5

Step-by-step explanation:

We first labelled the diagram we get

DC = 8

AD = 10

CE = 6

BE = x

∴ AC =AD + DC = 18

∴ BC = BE + ED = x + 6

To Find :

BE = x =?

Solution:

Let DE || AC

In  Δ ABC and Δ DEC

∠A ≅ ∠D    …………..{corresponding angles ∵ DE || AB }

∠B ≅ ∠E      ..............{corresponding angles ∵ DE || AB }

∠C ≅ ∠C    ……….....{Reflexive Property}    

Δ ABC ~ Δ DEC ….{Angle-Angle-Angle  Similarity test}

If two triangles are similar then their sites are in proportion.

\frac{AB}{DE} =\frac{BC}{EC} =\frac{AC}{CD}\ \textrm{corresponding sides of similar triangles are in proportion}\\

On substituting the given values we get

∴ \frac{8}{18} = \frac{6}{6+x} \\\\8(6+x) = 6\times 18\\\\\textrm{using distributive property we get}\\48+8x=108\\8x=108-48\\x=\frac{60}{8}\\ \\x=7.5\\\\\therefore x =7.5

4 0
4 years ago
A conjecture and the flowchart proof used to prove the conjecture are shown.
pishuonlain [190]

Answer:

∠1 is supplementary to ∠3.

Step-by-step explanation:

Given information: ABCD is a parallelogram.

Prove: ∠1 is supplementary to ∠3.

Proof:

∠1 = ∠ADB

∠2 = ∠DBC

∠3 = exterior angle adjacent to angle D B C.

Statement                                         Reason

∠2 is supplementary to ∠3           Linear pairs

m∠2+m∠3=180°                             Definition of supplementary angles

m\angle 1=m\angle 2                            Alternative interior angles

m∠1+m∠3=180°                              Substitute property of equality

∠1 is supplementary to ∠3            Definition of supplementary angles

Hence proved.

3 0
4 years ago
A waiter's weekly salary can be modeled by the equation y = 0.2x + 300, where x is the amount spent by the customers in dollars
stich3 [128]

Answer:

C.

x=500$

y=0.2×500+300

y=100+300

y=400

I let 500$=x because they were spent by the customers

hope this helps you

have a great day :)

4 0
2 years ago
Read 2 more answers
What is the volume of the sphere shown below?
Nina [5.8K]

Answer:

Step-by-step explanation:

r = 12

V = 4*pi * r^3 / 3

V = 4 * 3.14 * 12^3 /3

V = 4 * 3.14 * 1728 / 3

V = 4 * 5425.92 /3

V = 21703.68/3

V = 7234.56

None of the answers look correct.

8 0
3 years ago
The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation
labwork [276]

Answer:

Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.

We know that radius is half of diameter.

\text{Radius = }\dfrac{\text{Diameter}}{2}

\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}

The equation for circle given the center and radius, can be represented as:

(x-a)^{2}+ (y-b)^{2} = r^{2}

Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.

Let us consider the following formula:

(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq

(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0

Hence, Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

4 0
3 years ago
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