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4 years ago

Based on the pattern, what are the next two terms of the sequence? 7, 7/4 , 7/16 , 7/64, 7/256

Mathematics

1 answer:

IrinaVladis [17]4 years ago

5 0

Answer:

7/1024 and 7/4096

Step-by-step explanation:

4×4=16

4×16=64

4×64=256

4×256=1024

4×1024=4096

hope this helps!

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Find the area of triangle GHJ

iogann1982 [59]

Answer:

The area of this triangle would be 24.

Step-by-step explanation:

In order to find this, we need to first determine what to use as the base of the triangle. Since when we draw it, the line between G and H is a flat line, it is the easiest to use as a base. Finding the length of the base is easy because we are simply looking for the difference in the x values.

6 - -2 = 8 = base

Now that we have the base, we need to find the height. The height is always the perpendicular line from the 3rd point to the base line. In this case, this would just be the change in y from the other two.

5 - -1 = 6 = height

Now that we have those two distances, we can just use the triangle formula.

A = 1/2bh

A = 1/2(8)(6)

A = 24

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3 years ago

Willie found shirts at a back-to-school sale for $15.25 each. He also found jeans on sale for $32.95 per pair. He purchased 3 sh

Brilliant_brown [7]

Answer:

111.65

Step-by-step explanation:

$15.25 x 3 = $45.75

$32.95 x 2 = $65.9

Total: $111.65

8 0

3 years ago

Read 2 more answers

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz. An ornithologi

il63 [147K]

Answer:

The formula to generate 70% confidence interval is: $[\overline{x} - 0.013, \overline{x} + 0.013]$ , in which $\overline{x}$ is the sample mean.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.7}{2} = 0.15$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.15 = 0.85$ , so Z = 1.037.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.

This means that $\sigma = 0.04$ .

Sample of 10 birds:

This means that $n = 10$ .

The margin of error is of:

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.037\frac{0.04}{\sqrt{10}}$

$M = 0.013$

The lower end of the interval is the sample mean of $\overline{x}$ subtracted by M.

The upper end of the interval is the sample mean of $\overline{x}$ added to M.

Then, the formula to generate 70% confidence interval is: $[\overline{x} - 0.013, \overline{x} + 0.013]$ , in which $\overline{x}$ is the sample mean.

8 0

3 years ago

5x - 54 + 3x + 16 = 180<br><br> 3x +16 = 180<br><br> 5x - 54 = 3x + 16

Sloan [31]

Answer:

the answer sdhould be the third one

3 0

3 years ago

2 sin theta – 3 sin theta cos theta=0.425

bekas [8.4K]

Mark brainliest please

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6 0

3 years ago