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Annette [7]
2 years ago
7

Find the 11th term of the geometric sequence 6, -18, 54,

Mathematics
1 answer:
horsena [70]2 years ago
8 0

Answer:

354294

Step-by-step explanation:

a₁ = 6 = 6 * (-3)⁰

a₂ = -18 = 6 * (-3)¹

a₃ = 54 = -18 * (-3) = 6 * (-3)²

a₁₁ = 6 * (-3)¹⁰ = 354294

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How do you find the exterior angle of a polygon?
trasher [3.6K]

The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.

The measure of each interior angle of an equiangular n-gon is.

If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

7 0
3 years ago
a backpack manufacturer produces an internal frame pack and an one hour and let y represent the number of external frame packs p
Flauer [41]
Are there answer choices i really dont under stand the question

7 0
3 years ago
In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 2.2 2.2​% with a standard deviation of 6.3 6.3​%.
Svet_ta [14]

Answer:

a) 0.625; b) 16.879; c) 8.442

Step-by-step explanation:

Since this is a normal distribution, we want the value of the mean, μ:  2.2; and the value of the standard deviation, σ:  6.3.

For the 40th percentile, we look in a z chart.  We want to find the value as close to 0.40 as we can get; this is 0.4013, and it corresponds to a z score of z = -0.25.

Our formula for a z score is z=\frac{X-\mu}{\sigma}.  Using our values, we have

-0.25 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(-0.25) = X-2.2

-1.575 = X-2.2

Add 2.2 to each side:

-1.575+2.2 = X-2.2+2.2

0.625 = X

For the 99th percentile, the value in the z chart closest to 0.99 is 0.9901, which corresponds to a z score of z = 2.33:

2.33 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(2.33) = X-2.2

14.679 = X-2.2

Add 2.2 to each side:

14.679+2.2 = X-2.2+2.2

16.879 = X

For the IQR, we find the values for the 75th percentile (Q3) and the 25th percentile (Q1).  The value in a z chart closest to 0.75 is 0.7486, which corresponds to a z score of z = 0.67:

0.67 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(0.67) = X-2.2

4.221 = X-2.2

Add 2.2 to each side:

4.221+2.2 = X-2.2+2.2

6.421 = X

The value in a z chart closest to 0.25 is 0.2514, which corresponds to a z score of z = -0.67:

-0.67 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(-0.67) = X-2.2

-4.221 = X-2.2

Add 2.2 to each side:

-4.221+2.2 = X-2.2+2.2

-2.021 = X

This makes the interquartile range

6.421--2.021 = 8.442

8 0
3 years ago
A 12 foot by 8 foot rug covers the hardwood floor of a room. The rug leaves a uniform
trapecia [35]

Answer: 2(12 × 8)

Step-by-step explanation:

The area of the rug will be gotten by multiplying the length by its width. This will be:

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= 96feet²

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= 2(12 × 8)

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4 0
3 years ago
Plot the x- and y-intercepts to graph the equation. y=−12x−3
Lisa [10]
X-intercept; -.25
y-intercept; -3
8 0
2 years ago
Read 2 more answers
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