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3 years ago

The sum of the square of a number and five times that number is no more than 46.

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

7 0

Answer:

Step-by-step explanation:

46/5 = 9.2

if you take the reverse of the square which is the square root of 9.2 you get about 3.

Thus proving that 3 squared times five is infact less then 46.

BabaBlast [244]3 years ago

4 0

Answer:

46/5 = 9.2

if you take the reverse of the square which is the square root of 9.2 you get about 3.

Thus proving that 3 squared times five is infact less then 46.

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R(x) = (500 + ax) (50 - bx)

o-na [289]

Answer:

−

500

−

√

250000

2500

−

100

1000

50000

Step-by-step explanation:

4 0

3 years ago

in a random sample of 200 people, 154 said that they watched educational television. fine the 90% confidence interval of the tru

melisa1 [442]

Answer:

[0.7210,0.8189] = [72.10%, 81.89%]

Step-by-step explanation:

The sample size is

n = 200

the proportion is

p = 154/200 = 0.77

Since both np ≥ 10 and n(1-p) ≥ 10

We can approximate this discrete binomial distribution with the continuous Normal distribution. As the sample size is large enough, not applying the continuity correction factor makes no significant difference.

The approximation would be to a Normal curve with this parameters:

Mean

p = 0.77

Standard deviation

$\bf s=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.77*0.23}{200}}=0.0298$

The 90% confidence interval for the proportion would be then

$\bf [0.77-z^*0.0298, 0.77+z^*0.0298]$

where $\bf z^*$ is the 10% critical value for the Normal N(0,1) distribution , this is a value such that the area under the N(0,1) curve outside the interval $\bf [-z^*,z^*]$ is 10%=0.1

We can either use a table, a calculator or a spreadsheet to get this value.

In Excel or OpenOffice Calc we use the function

NORMSINV(0.95) and we get a value of 1.645

The 90% confidence interval for the proportion is then

$\bf [0.77-1.645^*0.0298, 0.77+1.645^*0.0298]=[0.7210,0.8189]$

This means there is a 90% probability that the proportion of people who watch educational television is between 72.10% and 81.89%

If the television company wanted to publicize the proportion of viewers, do you think it should use the 90% confidence interval?

Yes, I do.

5 0

3 years ago

An arithmetic sequence "a" starts with 84, 77 define "a" recursively

sweet [91]

Answer:

First, let's define an arithmetic sequence:

In an arithmetic sequence, the difference between any two consecutive terms is always the same.

Then we can write it in a general way as:

aₙ = a₁ + (n - 1)*d

where:

aₙ is the n-th term of the sequence.

d is the constant difference between two consecutive terms.

a₁ is the initial term of our sequence.

Now in this case we know that the first terms of our sequence are:

84, 77, ...

Then we know the initial term of our sequence:

a₁ = 84.

And the value of d can be calculated as:

d = a₂ - a₁ = 77 - 84 = -7

Then the general way of writing this sequence is:

aₙ = 84 + (n - 1)*(-7)

And the recursion relation is:

aₙ = aₙ₋₁ - 7

So for the n-th term, we must subtract 7 of the previous term.

4 0

3 years ago

What are the coordinates of the point on the directed line segment from (-10, -5) to (5, 1) that partitions the segment into a r

Lera25 [3.4K]

if you make a graph and add the coordinates on the graph you can use that find out how it creates a ratio of 1:2

3 0

3 years ago

Subtract the following fractions. (Reduce answers to lowest terms.) 6/5-3/3 =

kogti [31]

Answer:

0.87 which is 13/15

Step-by-step explanation:

6/5 becomes 18/15

3/3 becomes 15/15

18/15-15/15 is 13/15

13 divided by 15 is about 0.87

8 0

3 years ago