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Black_prince [1.1K]
3 years ago
9

The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665 Using a table of values,

how many terms are in this geometric series
Mathematics
2 answers:
vladimir1956 [14]3 years ago
8 0

Answer:

There are 5 terms in the series.

Step-by-step explanation:

S=a\frac{1-r^{n} }{1-r}\\a=-3\\r=6\\-4665=-3\frac{1-6^{n} }{1-6}\\1555=\frac{1-6^{n} }{-5}\\\-7775=1-6^{n}\\6^{n}=7776\\

Take logs to get n = 5

aleksley [76]3 years ago
6 0

Answer:

5

Step-by-step explanation:

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What is 1800 in its corresponding exponential form
pav-90 [236]

The formula for exponential form is:

e^x = y

Where, y in this case is 1800, e is exponential, and we are to find e^x.

e^x = 1800

To find for x, we have to multiply both sides with the natural log, ln.

ln (e^x) = ln (1800)

x ln e = ln (1800)

<span>ln e = 1 and by using the calculator,</span>

x = 7.496 = 7.5

<span>Therefore the exponential form of 1800 is e^7.5</span>

<span>ANSWER: </span>e^{7.5}

6 0
3 years ago
A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics e
professor190 [17]

Answer:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

df = n-1 = 15-1=14

The p value for this case would be given by:

p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

Step-by-step explanation:

Information given

n=15 represent the sample size

\alpha=0.05 represent the confidence level  

s^2 =16 represent the sample variance

\sigma^2_0 =25 represent the value that we want to  verify

System of hypothesis

We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \geq 25

Alternative hypothesis: \sigma^2

The statistic is given by:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

And replacing we got:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

df = n-1 = 15-1=14

The p value for this case would be given by:

p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

6 0
3 years ago
GIVING BRAINLIEST FOR BEST ANSWER!
natta225 [31]

Answer:

It would be A

Step-by-step explanation:

Fifteen Seventieths :D

7 0
2 years ago
Read 2 more answers
I need help thanks so much
Lerok [7]

Answer:

c. 1 \frac{3}{8} inches

Step-by-step explanation:

Since the paper clip is past the 1, the answer will be 1 and ___.

the mark in the middle of the 1 and 2 is one half (1/2)

the mark in between the 1 and 1/2 is 1/4

the mark between 1/4 and 1/2 is 1/8

there are three (3) 1/8 marks where the paperclip is

3 * 1/8 = 3/8

so your answer is 1 3/8

hope this helps:)

6 0
2 years ago
Imani spent half of her weekly allowance playing mini-golf. To earn more money, her parents let her wash the car for $4. What is
joja [24]

Answer:

$16

Step-by-step explanation:

This method is probbaly working backwards. I'm not sure.

12 - 4 = 8 (How much she was left with if she didn't wash the car for 4 dollars)

8 x 2 = 16 (They mentioned she spent half of her weekly allowance)

6 0
3 years ago
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