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Gnoma [55]
4 years ago
10

What does the fraction 9/81 equal

Mathematics
2 answers:
boyakko [2]4 years ago
6 0
In order for you to get the answer you must divide. Find a number the goes into both 9 and 81. You're lucky 81 is a multiple of 9. So we can use 9. So 9/81 divided by 9.
9/9=1
81/9=9

So 9/81=1/9
nataly862011 [7]4 years ago
4 0
For you to get the answer, you must divide the fraction to a number which is called the least common factor. For this case, we divide both the numerator and the denominator with 9. It is done as follows:

9/9 / 81/9 = 1/9

<span>The fraction 9/81 is equal to 1/9.</span>
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One number is 18 more than three times another number. The difference in the numbers is 54. Find the numbers
Kruka [31]
The equations would be:
x=18+3y
x+y=54
(substitute x in the second equation with 18+3y)
18+3y+y=54
(combine like terms and solve for y)
y=9
(plug y into the second equation to find x)
x+9=54
x=45
8 0
4 years ago
PLEASE HELP!!!<br> The question is in the picture!! PLEASE HELP ASAP!!!
murzikaleks [220]

Answer:

Chief, I'm ngl, it might be C

Step-by-step explanation:

7 0
4 years ago
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Solve the following, where 0° &lt; θ &lt; 360°.<br> If cos θ=2/3 and tan θ&lt;0<br> Find θ.
Paraphin [41]

Answer:

The angle θ = 312°.

Step-by-step explanation:

0° < θ < 360°

If cos θ = 2/3 and tan θ < 0

As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.

cos θ = 2/3

θ = 312°

3 0
3 years ago
Of the 727 cases of SI, 203 received two doses of vaccine. Of 1,239 controls, 771 received two doses of vaccine for SI. What is
zysi [14]

Answer:

hello your question is incomplete below is the complete question

Case-Control Calculation Enter only numeric values into the answer line. Place a leading 0 before the decimal and remember to round to two decimal places. Note your answers for the next short essay question. Swine Influenza (SI) is a growing concern at the local Broncoville Health Department in Lawrence, Kansas. You are working for a pharmaceutical company which is developing a human vaccine against SI. You are in charge of testing the vaccine’s effectiveness. You need to determine if one or two doses of vaccine is required to provide immunity. You field test and collect the following information about the vaccine status of persons who did and did not contract SI after getting either one or two doses of vaccine. Develop a 2 x 2 table with the following information: Of the 727 cases of SI, 203 received two doses of vaccine. Of 1,239 controls, 771 received two doses of vaccine for SI. What is the likelihood of contracting SI with only one dose of vaccine?

1. Calculate the incidence of persons with one dose of vaccine for SI

2. Calculate the incidence of persons with two doses of vaccine for SI

3. Calculate the odds ratio of developing SI among those with one dose of vaccine for SI

answer : 1) ≈ 0.53 , (2)  ≈ 0.21,  (3)  ≈ 1.12

Step-by-step explanation:

cases of SI = 727

number of SI cases that received two doses of vaccine = 203

number of SI cases that received one dose of vaccine = 727 -203 = 524

controls = 1239

number of controls that received two doses of vaccine = 771

number of controls that received one dose of vaccine = 1239 - 771 = 468

I) The incidence of persons with one dose of vaccine for SI

= 524 / 992 = 0.528 ≈ 0.53

2) The incidence of persons with two doses of vaccine for SI = 203/974 = 0.208 ≈ 0.21

3) The Odds of SI in one dose group

=  524/468 = 1.119 ≈ 1.12

7 0
3 years ago
On the 1st of January 2014 Carol invested some money in the bank account. the account pays 2.5% compound interest per year on fi
stira [4]

Answer:

The initial amount invested into the account on 1st January 2014 was £23,360

Step-by-step explanation:

In order to calculate the initial deposit in question, we will have to make use of the formula for calculating compound interest:

Fv = Pv × (1 + r)^t ------ since it was compounded annually.

Where Fv = future value

Pv = present value

r = interest rate

t = time (years)

Here, r = 2.5% or 0.025

t = 1 year

Let x represent this initial deposit. Then at the end of the year(31st Dec 2014), we will have:

Fv = x × (1 + 0.025)^1

Fv = x × (1.025)

Fv = £1.025x

Therefore, the amount that will be in the account as at 31st Dec 2014 is = £1.025x.

Now, if the owner of the account then withdraws a sum of £1,000 from the account on the 1st of Jan 2015, then the balance that will be in the account after the withdrawal will be = £1.025x - 1000. This will now be the principal or present value that will accrue interest for the year - 2015.

Again, we were told that that the future value or the balance on the 1st of Jan 2016 will be £23,517. We will then once again use the compound interest formula, making the present value (1.025x - 1000) the subject of the formula so that we can solve for x. Once "x" is determined, then we have exposed the initial deposit that was made into the account on the 1st of January 2014.

Fv = Pv × (1 + r)^t

Here,

Fv = 23,517

Pv = 1.025x - 1000

r = 0.025

t = 1

23,517 = 1.025x - 1000 × (1 + 0.025)^1

23,517 = 1.025x -1000 × (1.025)

23,517 = 1.050625x - 1025

1.050625x = 23,517 + 1025

1.050625x = 24,542

Then making "x" the subject of the formula:

x = 24,542/1.050625

x = £23,360

Therefore, the initial deposit that Carole made into the account on 1st January 2014 was £23,360

3 0
4 years ago
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