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4 years ago

After how many places the decimal expansion of 13/40 will terminate?

Mathematics

1 answer:

mamaluj [8]4 years ago

7 0

Remember that $40 = 2\cdot 2\cdot 10$ .

So, dividing by 40 means dividing by 10, then by 2, then by 2 again.

So, we can go like this: let's divide by 10 first

$13 \div 10 = 1.3$

Then, we divide by 2:

$1.3 \div 2 = 0.65$

And by 2 again:

$0.65 \div 2 = 0.325$

So, the decimal expansion ends after 3 digits.

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BC = Round your answer to the nearest hundredth. ? C B 50° 7 А

umka21 [38]

Answer:

The answer is 8.34

U have to use the SOH CAH TOA method

In this case I used tan

so,

tan 50= BC/7

solve for BC= 7* tan 50= 8.34

6 0

3 years ago

A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From

lutik1710 [3]

Answer:

a) $z = 1.645$

b) The should sample at least 293 small claims.

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:

$\alpha = \frac{1-0.9}{2} = 0.05$

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 $1-0.05 = 0.95$ , so $z = 1.645$ , which means that the answer of question a is z = 1.645.

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.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

$M = 12, \sigma = 124.88$ . So

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

$12 = 1.645*\frac{124.88}{\sqrt{n}}$

$12\sqrt{n} = 205.43$

$\sqrt{n} = \frac{205.43}{12}$

$\sqrt{n} = 17.12$

$\sqrt{n}^{2} = (17.12)^{2}$

$n = 293$

The should sample at least 293 small claims.

8 0

3 years ago

Mr .scoot filled an above ground pool with water . He filled it to a height of 5 ft in 25 hours. What was the Raye at which he f

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In guessing 5 ft an hour

8 0

3 years ago

Read 2 more answers

Write the equation of the line perpendicular to + = that passes through (−,−). Write your answer in slope-intercept form.

Ad libitum [116K]

Answer:

y = 0.25x - 5

Step-by-step explanation:

Given line is 4x + y = 3

or y = -4x + 3

Comparing this with slope-intercept form y = mx + c :

slope of this line is -4

Product of slopes of perpendicular lines = -1

⇒ slope of a line perpendicular to this is $\frac{-1}{-4}$ = $\frac{1}{4}$ = 0.25

This line also passes through the point (-4,-6)

The equation of a line having slope m and passing through a point (h,k) is

y - k = m(x - h)

⇒ equation of line perpendicular to given line is y - (-6) = 0.25×{x - (-4)}

⇒ y + 6 = 0.25×(x + 4)

⇒ y + 6 = 0.25x + 1

⇒ y = 0.25x - 5

This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)

6 0

4 years ago

If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2

Finger [1]

The period of a sinusoid $\cos 2(x-c)$ is $\dfrac{2\pi}2=\pi$ , so any range such that $\mathrm{Xmax}-\mathrm{Xmin}=2\pi$ will give two complete periods.

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3 years ago

Read 2 more answers