Which is the best estimate for the sum 2/9 +10/11 ?

scoray [572]

Answer: 9/14

Explanation. First, you have to find the least common denominator. The least common denominator is the lowest number you can use on the denominator to create a set of equivalent fractions

7 and 2 can both go into 14
Whatever number you use to multiply to equal 14, you do the same to the top.
It would look like this.

2/14 + 7/14
Then you add.

2/14 + 7/14= 9/14
You can’t simplify this fraction so this is your answer. Hope this helped!

7 0

3 years ago

What is the total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months? ( I hate asking for help

antoniya [11.8K]

There is a formula for a loan : A = P * r * ( r + 1 ) ^n / (( r + 1 ) ^n - 1 ), where P is the loan and A is the monthly payment. So P = $4,250 and r = 0.1325 : 12 = 0.011. ( 13.25 % = 0.1325 and we divide it by 12, because the interest is compounded monthly ). A = 4,250 * 0.011 * 1.011^(24) / ( 1.011^(24) - 1 ) = 4,250 * 0.11 * 1.3 / 0.3 = 4,250 * 0.0477; A = $202.55. Finally we have to multiply this sum by 24 : the total finance charge: $202.55 * 24 = $ 4,861.20. Answer: D ) $4,861.20

6 0

3 years ago

Read 2 more answers

Find the value of x.

Shalnov [3]

Answer:

-11

Step-by-step explanation:

I think you do 5x-24=8x+9

5 0

2 years ago

Which dose not appear in an algebraic expression

slamgirl [31]

An equal sign.

If there was an equal sign kt would turn into an algebraic equation imstead of an expression.

Happy to help! Marking my answer as the Brainliest would really be aprreciated.

5 0

3 years ago

Ice cream usually comes in 1.5-quart boxes (48 fluid ounces), and ice cream scoops hold about 2 ounces. However, there is some v

Troyanec [42]

Answer:

(a) The expected value and standard deviation of the amount of ice cream served at the party are 54 ounces and 1.25 ounces respectively.

(b) The expected value and standard deviation of the amount of ice cream left in the box after scooping out one scoop are 46 ounces and 1.031 ounces respectively.

(c) Because the variance of each variable is dependent on the other.

Step-by-step explanation:

The random variable X and Y are defined as follows:

X = amount of ice cream in the box

Y = amount of ice cream scooped out

The information provided is:

E (X) = 48

SD (X) = 1

V (X) = 1

E (Y) = 2

SD (Y) = 0.25

V (Y) = 0.0625

(a)

The total amount of ice-cream served at the party can be expressed as:

X + 3Y.

Compute the expected value of (X + 3Y) as follows:

$E(X+3Y)=E(X)+3E(Y)\\= 48+(3\times2)\\=48+6\\=54$

Compute the variance of (X + 3Y) as follows:

$V(X+3Y) = V (X)+3^{2}V(Y)+2\times 3Cov (X,Y)\\=1+(9\times0.0625)+0\\=1.5625$

Then the standard deviation of (X + 3Y) is:

$SD(X + 3Y) =\sqrt{V(X + 3Y)}\\\sqrt{1.5625}\\=1.25$

Thus, the expected value and standard deviation of the amount of ice cream served at the party are 54 ounces and 1.25 ounces respectively.

(b)

The amount of ice-cream left in the box after scooping out one scoop is represented as follows:

X - Y.

Compute the expected value of (X - Y) as follows:

$E(X-Y)=E(X)-E(Y)\\=48-2\\=46$

Compute the variance of (X - Y) as follows:

$V(X - Y) =V(X)+V(Y)-2Cov(X,Y)\\=1+0.0625-0\\=1.0625$

Then the standard deviation of (X - Y) is:

$SD(X-Y) =\sqrt{V(X -Y)}\\\sqrt{1.0625}\\=1.031$

Thus, the expected value and standard deviation of the amount of ice cream left in the box after scooping out one scoop are 46 ounces and 1.031 ounces respectively.

(c)

The variance of the sum or difference of two variables is computed by adding the individual variances. This is because the variance of each variable is dependent on the others.

7 0

3 years ago