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ser-zykov [4K]
3 years ago
5

Bring the following fraction: а/a-10 to a denominator of 10-a

Mathematics
2 answers:
dsp733 years ago
8 0

Answer:

-a

-------

10-a

Step-by-step explanation:

a

----

a-10

Multiply the top and bottom by -1

-1*a

-------

-1(a-10)

-a

------

-a+10

Rewriting

-a

-------

10-a

WITCHER [35]3 years ago
8 0

Answer:

-a/(10-a)

Step-by-step explanation:

To get from a - 10 to 10 - a,  you just have to multiply by -1.

So fi you multiply both the top and bottom by -1, you'd get -a/(10-a).

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The Hogwarts Express train has reduced its one-way fare from 360 galleons to just 270 galleons. What is the percentage decrease
Likurg_2 [28]
<h3>Answer:   25% decrease</h3>

=======================================================

Work Shown:

A = old value = 360

B = new value = 270

C = percent change

C = (B-A)/A

C = (270-360)/360

C = -90/360

C = -0.25

C = -25%

The negative C value indicates we have a percent decrease.

Note how 25% of 360 = 0.25*360 = 90, meaning that the price has dropped by 90 galleons. And also note that 360-270 = 90 is that same figure of 90. This helps confirm the answer.

4 0
3 years ago
In Algebra, we learn about functions of various types. These functions are often seen in a progression from least complicated (l
Colt1911 [192]

All the equations can be graphed and solved by graphing. They can also be solved using various other methods

8 0
3 years ago
A SINGLE CARD IS DRAWN AT RANDOM FROM A STANDARD DECK OF 52 CARDS. FIND THE PROBABILITY OF DRAWING THE FOLLOWING CARDS. PLEASE R
erma4kov [3.2K]

Answer:

A. \frac{17}{52}

B. \frac{17}{52}

C. \frac{2}{13}

Step-by-step explanation:

A.

There are 52/4 diamonds in the deck and 4 '5's in the dech of cards

52/4 = 13 + 4 = 17

Therefore, you have a  \frac{17}{52} chance of drawing one of those cards.

B.

There are 13 hearts in the deck and 4 jacks. Therefore, your odds are the same : \frac{17}{52}

C.

There are 4 jacks in a deck of cards and 4 '8's in a deck of cards

Therefore your probability is \frac{8}{52} which simplifies to =\frac{2}{13}

<em>As per brainly guidelines I can only answer 3 questions in one answer</em>

7 0
1 year ago
Read 2 more answers
What is 5/11 in decimal form? (round your answer to the nearest hundredth.)?
natita [175]
5/11 in decimal form is .45
4 0
3 years ago
10. In a survey of 212 people at the local track and field championship, 72% favored the home team
igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error of the survey is:

M = \sqrt{\frac{\pi(1-\pi)}{n}}

The confidence interval can be written as:

\pi \pm zM

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that n = 212, \pi = 0.72

a. Find the margin of error for the survey.

M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Lower bound:

\pi - zM = 0.72 - 1.96*0.0308 = 0.6596

Upper bound:

\pi + zM = 0.72 + 1.96*0.0308 = 0.7804

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

7 0
3 years ago
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