All categories

2 years ago

Find the 9th term of the geometric sequence 2, -10 50 -250

Mathematics

1 answer:

tigry1 [53]2 years ago

7 0

Answer:

781250

Step-by-step explanation:

We first need to find the common ratio

-10 /2 = -5

50 / -10 = -5

The common ratio is -5

an = a (r) ^ (n-1)

a9 = 2 ( -5) ^(9-1)

= 2 (-5)^8

=781250

You might be interested in

A students work to simplify a radical is shown below. Select the statemmebt which best applies to rhe sample mathematical work

Citrus2011 [14]

Answer:

D. The work shown above is correct, and $y^5.\sqrt[4]{y^3}$ may not be simplified further.

Step-by-step explanation:

$\sqrt[4]{y^{23} } = \sqrt[4]{y^4 . y^4 . y^4.y^4.y^3}$

$\sqrt[4]{y^4. y^4.y^4. y^4.y^3} = y^5 . \sqrt[4]{y^3}$

When we simplify, we get

$\sqrt[4]{y^{23} } = y^5.\sqrt[4]{y^3}$

The answer: D. The work shown above is correct, and $y^5. \sqrt[4]{y^3}$ may not be simplified further.

Thank you.

4 0

2 years ago

Find the standard deviation for a data set that has a variance of 82.81.

igomit [66]

Answer:

Standard Deviation = 9.1

(Please vote me Brainliest if this helped!)

Step-by-step explanation:

Standard deviation = square root of variance

= $\sqrt{82.81}$ = 9.1

8 0

2 years ago

Help ????????????????????

Degger [83]

Answer:

first one is 90

second one is 108

Step-by-step explanation:

7 0

3 years ago

A quality analyst of a tennis racquet manufacturing plant investigates if the length of a junior's tennis racquet conforms to th

Burka [1]

Answer:

Confidence interval : $21.506$ to $24.493$

Step-by-step explanation:

A quality analyst selects twenty racquets and obtains the following lengths:

21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

So, sample size = n =20

Now we are supposed to find Construct a 99.9% confidence interval for the mean length of all the junior's tennis racquets manufactured at this plant.

Since n < 30

So we will use t-distribution

Confidence level = 99.9%

Significance level = α = 0.001

Now calculate the sample mean

X=21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

Sample mean = $\bar{x}=\frac{\sum x}{n}$

Sample mean = $\bar{x}=\frac{21+25+23+22+24+21+25+21+23+ 26+ 21+24+22+ 24+23+21+ 21+ 26+23+ 24}{20}$

Sample mean = $\bar{x}=23$

Sample standard deviation = $\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}$

Sample standard deviation = $\sqrt{\frac{(21-23)^2+(25-23)^2+(23-23)^2+(22-23)^2+(24-23)^2+(21-23)^2+(25-23)^2+(21-23)^2+(23-23)^2+(26-23)^2+(21-23)^2+(24-23)^2+(22-23)^2+(24-23)^2+(23-23)^2+(21-23)^2+(21-23)^2+(26-23)^2+(23-23)^2+(24-23)^2}{20-1}}$

Sample standard deviation= s = $1.72$

Degree of freedom = n-1 = 20-1 -19

Critical value of t using the t-distribution table $t_{\frac{\alpha}{2}$ = 3.883

Formula of confidence interval : $\bar{x} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}}$

Substitute the values in the formula

Confidence interval : $23 \pm 1.73 \times \frac{1.72}{\sqrt{20}}$

Confidence interval : $23 -3.883 \times \frac{1.72}{\sqrt{20}}$ to $23 + 3.883 \times \frac{1.72}{\sqrt{20}}$

Confidence interval : $21.506$ to $24.493$

Hence Confidence interval : $21.506$ to $24.493$

3 0

3 years ago

Read 2 more answers

The 5's in 7,595_<br>How many times less?

SpyIntel [72]

Answer:

it may be 79 or 7090 or

Step-by-step explanation

if u subtract 7595-55=7540

3 0

3 years ago