All categories

3 years ago

What's the 7th term in the geometric sequence

Mathematics

1 answer:

Marta_Voda [28]3 years ago

4 0

$a_{7} = 2 \times 5^{7 -1} = 2 \times 5^{6} = 2 \times 15,625 = 31,250$

You might be interested in

Which Expressions are equivalent to:<br> 3(2/3p + 3 - 1/3p - 5)<br> Picture is provided

Gennadij [26K]

Answer:

the answers are p - 6, 3 (1/3p + 3 - 5), and 3 (1/3p - 2)

3 0

3 years ago

Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable

notsponge [240]

Complete Question

ymposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 498 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use = 0.01.

a. What is the value of the sample test statistic? (Round your answer to two decimal places.)

b. Find the P-value of the test statistic. (Round your answer to four decimal places.)

Answer:

a) $Z=2.45$

b) $P Value=0.0073$

Step-by-step explanation:

From the question we are told that:

Probability of Wishart and Leach $P=21.4=>0.214$

Population Size $N=498$

Sample size $n=12$

Therefore

$P'=\frac{129}{498}$

$P'=0.2590$

Generally the Null and Alternative Hypothesis is mathematically given by

$H_0:P=0.214$

$H_a:=P>0.214$

Test Statistics

$Z=\frac{P'-P}{\sqrt{\frac{P(1-P)}{n}}}$

$Z=\frac{0.2590-0.214}{\sqrt{\frac{0.214(1-0.214)}{498}}}$

$Z=2.45$

Therefore P Value is given as

$P Value =P(Z\geq 2.45)$

$P Value =1-P(Z\leq 2.45)$

$P Value =1-0.99268525$

$P Value=0.0073$

7 0

2 years ago

Help me with geometry pls

Artist 52 [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

Trina's car uses 12 gallons of gas to travel 144 miles. If she has 6 gallons of gas in the tank, how much more gas will she need

PSYCHO15rus [73]

Answer: 14gallons

Step-by-step explanation:

12gallons/144miles = 1gallon/12miles

Therefore 6gallons = 12*6 = 72miles.

In order to cover 240miles, she will need 240/12 = 20gallons.

20-6 = 14gallons

She will need 14gallons of gas more.

3 0

3 years ago

Name the property shown by each statement.

vlada-n [284]

Most of these problems are the commutative property:

Addition
a + b = b + a

Multiplication
a * b = b * a

and the associative property:

Addition
(a + b) + c = a + (b + c)

Multiplication
(a * b) * c = a * (b * c)

There's also the Identity property:

Addition \ Subtraction:
a + 0 = a \ a - 0 = a

Multiplication \ Division:
a * 1 = a \ a / 1 = a

5 0

3 years ago