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3 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

Mathematics

1 answer:

VMariaS [17]3 years ago

6 0

Answer:

common ratio (r) =T2÷T1=T3÷T2

5÷10=5/2÷5

r= 1/2

a=10

tn=a.r *(n-1)

tn=10×1/2 *(n-1)

t6=10×1/2 *(6-1)

t6=5/16

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WILL GIVE BRAINLIEST 8+7-4

Korolek [52]

Answer:

Step-by-step explanation:

8 + 7 = 15.

15 - 4 = 11

Your answer would be 11.

4 0

3 years ago

Read 2 more answers

If x - 4 , x + 2 and 3x + 6 form a geometric sequence, find x.

Alex17521 [72]

Answer:

x =7

Step-by-step explanation:

Remark

A geometric sequence always has terms that are separated by a common ratio. For example 3 9 27 81 243 ....
Each term is multiplied by a common number and the term before it. In this case the common term is 3.
To get the next term after 9, you multiply 9 by 3.
To get the common ratio divide the second term by the first and then the third term by the second

Equation

(x + 2)/(x - 4) = (3x + 6)/ (x + 2)

Solution

I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.

(x + 2)/(x - 4) = 3(x + 2)/ (x + 2) Notice the two binomials on the right cancel.

(x + 2)/(x - 4) = 3/1 Cross multiply
(x + 2)*1 = 3*(x - 4) Remove the brackets on the right.
x + 2 = 3x - 12 Add 12 on both sides.
x + 2 + 12 = 3x - 12 + 12 Simplify
x + 14 = 3x Subtract x from both sides
14 = 3x - x
2x = 14 Divide by 2
x = 14/2
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3 years ago

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3 years ago

There are 210210210 students in a twelfth grade high school class. 909090 of these students have at least one sister and 1051051

BlackZzzverrR [31]

Answer:

(1) The value of P (A) is 0.4286.

(2) The value of P (B) is 0.50.

(3) The value of P (A ∩ B) is 0.2143.

(4) The the value of P (B|A) is 0.50.

(5) The events A and B are independent.

Step-by-step explanation:

The events are defined as follows:

A = a student in the class has a sister

B = a student has a brother

The information provided is:

N = 210

n (A) = 90

n (B) = 105

n (A ∩ B) = 45

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

The conditional probability of an event X provided that another event Y has already occurred is:

$P(X|Y)=\frac{P(A\cap Y)}{P(Y)}$

If the events X and Y are independent then,

$P(X|Y)=P(X)$

(1)

Compute the probability of event A as follows:

$P(A)=\frac{n(A)}{N}\\\\=\frac{90}{210}\\\\=0.4286$

The value of P (A) is 0.4286.

(2)

Compute the probability of event B as follows:

$P(B)=\frac{n(B)}{N}\\\\=\frac{105}{210}\\\\=0.50$

The value of P (B) is 0.50.

(3)

Compute the probability of event A and B as follows:

$P(A\cap B)=\frac{n(A\cap B)}{N}\\\\=\frac{45}{210}\\\\=0.2143$

The value of P (A ∩ B) is 0.2143.

(4)

Compute the probability of B given A as follows:

$P(B|A)=\frac{P(A\cap B)}{P(A)}\\\\=\frac{0.2143}{0.4286}\\\\=0.50$

The the value of P (B|A) is 0.50.

(5)

The value of P (B|A) = 0.50 = P (B).

Thus, the events A and B are independent.

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4 years ago

The lay in Burlington collected $3 930 in overdue fees last year. This year, the library

almond37 [142]

Answer:

We conclude that the percent of decrease = 20%

Step-by-step explanation:

Given

Original amount = $3930

Amount of decrease = $3930 - $3144 = $786

Using the formula

Percent of decrease = ( amount of decrease / orignal amount × 100 ) %

= ( 786 / 3930 × 100 ) %

= ( 0.2 × 100 ) %

= 20%

Therefore, we conclude that the percent of decrease = 20%

4 0

3 years ago