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xeze [42]
3 years ago
12

?can someone help meh

Mathematics
1 answer:
torisob [31]3 years ago
4 0

Answer:

Step-by-step explanation:

C

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what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …
Crazy boy [7]

Let

a1=768\\a2=480\\a3=300\\a4=187.5

Step 1

Find \frac{a2}{a1}

\frac{a2}{a1} =\frac{480}{768}

Divide by 96 numerator and denominator

\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\   \\ \frac{480}{768}=\frac{5}{8}

a2=a1*\frac{5}{8}

Step 2

Find \frac{a3}{a2}

\frac{a3}{a2} =\frac{300}{480}

Divide by 60 numerator and denominator

\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\   \\  \frac{300}{480}=\frac{5}{8}

a3=a2*\frac{5}{8}

Step 3

Find \frac{a4}{a3}

a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}

\frac{a4}{a3} =\frac{\frac{375}{2}}{300}  \\ \\  \frac{a4}{a3} =\frac{375}{600}

Divide by 75 numerator and denominator

\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\   \\ \frac{375}{600}=\frac{5}{8}

a4=a3*\frac{5}{8}

In this problem

The geometric sequence formula is equal to

a(n+1)=a(n)*\frac{5}{8}\\

For n\geq 1

therefore

the answer is

the common ratio for the geometric sequence above is \frac{5}{8}



6 0
3 years ago
Read 2 more answers
10. Write an inequality relating the measure of angle 1 to the measure of angle 2
patriot [66]
The two triangles are isosceles.

Both triangles have the equals sides equal to 6

Both ∠ 1 and the ∠2 are the opposite angles to the different side of their respective triangles.

The opposite side to ∠ 1 is shorter than the opposite side to ∠ 2, which implies that ∠1 is less than ∠2.

Then the inequality that relates those angles is

 ∠1 < ∠2   
3 0
3 years ago
In a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted o
Maksim231197 [3]

Answer:

324

Step-by-step explanation:

given that in a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?"

i.e. Sample proportion p=0.74\\q =1-p =0.26\\

Margin of error = 4% = 0.04

Confidence level =90%

Z critical value for 90% = 1.645

Margin of error = 1.645 * std error

Hence std error = \frac{0.04}{1.645} \\=0.0243

Std error is also equal to

\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.74(0.26)}{n} } =0.0243\\\sqrt{n} =18..05\\n = 325.83~324

Sample size should be 324.

The formula is sample size = (Z critical value)^2 (pq)/(Margin of error )^2

3 0
3 years ago
a segment has and endpoint at (-6, 8). The midpoint is at (-6, 2). What are the coordinates of the other endpoint?
Montano1993 [528]

Answer:

(-6,-4)

Step-by-step explanation:

The first endpoint of the line is (-6,8), we can call

x_1 = -6

and

y_1 = 8

Let the last endpoint have coordinates (x_2,y_2)

Also, the midpoint formula is:

(x_1+x_2)/2 , (y_1+y_2)/2

Now, plugging these values is the formula, we get:

(-6+x_2)/2 = -6

-6+x_2=-12

x_2=-12+6 = -6

x_2 = -6

Also

(8+y_2)/2=2

8+y_2=4

y_2=4-8=-4

y_2 = -4

The coordinates of the other endpoint is (-6,-4)

8 0
3 years ago
Find the Length of ST
vfiekz [6]

Step-by-step explanation:

Consider Similarity and enlargement

To get the enlargement factor,

Take the ratio result of any two similar sides. i.e

PQ/AB = 3.6/2 = 1.8

The enlargement factor is 1.8

To get ST, consider ED then multiply it by the enlargement factor. i.e

= 5 x 1.8

= 9

7 0
2 years ago
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