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Mice21 [21]
3 years ago
8

what is the second term in a geometric sequence is 50. the forth term in the same sequence is 112.5 what is the common ratio in

this sequence
Mathematics
1 answer:
Ulleksa [173]3 years ago
7 0
The common ratio is 1.5 50 * 1.5 = 75, 75 * 1.5 = 112.5 etc.
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What is the axis of symmetry for the function (x)=5x^2+8?
Hunter-Best [27]

Answer:

x = 0

Step-by-step explanation:

There's no horizontal shift.

8 0
3 years ago
A manufacturer of college textbooks is interested in estimating the strength of the bindings produced by a particular binding ma
IrinaVladis [17]

Answer:

538 books should be tested.

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{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

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.

How many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?

n books should be tested.

n is found when M = 0.08

We have that \sigma = 0.72

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

0.08 = 2.575*\frac{0.72}{\sqrt{n}}

0.08\sqrt{n} = 2.575*0.72

\sqrt{n} = \frac{2.575*0.72}{0.08}

(\sqrt{n})^{2} = (\frac{2.575*0.72}{0.08})^{2}

n = 537.1

Rounding up

538 books should be tested.

6 0
3 years ago
The inverse of the function g(x)=x−65 can be written in the form g−1(x)=ax+b. What is the value of a?
Anna35 [415]

9514 1404 393

Answer:

  a = 1

Step-by-step explanation:

The slope of the inverse of a linear function is the inverse of the slope of the original function.

The slope of g(x) is the coefficient of x: 1.

The inverse of 1 is 1/1 = 1.

The slope of the function g^-1(x) is 1, so a=1.

_____

<em>Additional comment</em>

  g^-1(x) = x +65 . . . . . a=1; b=65

3 0
3 years ago
Find the area of the polygon.
ANEK [815]

<u>area</u><u> </u><u>=</u><u>1</u><u>5</u><u>c</u><u>m</u><u>²</u>

Answer:

Solution given:

Area of a given polygon [parallelogram]=

base*height=5*3=15cm²

3 0
3 years ago
Read 2 more answers
Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is
Katarina [22]

Answer:

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

or

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

or

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

or

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

7 0
3 years ago
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