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3 years ago

Evaluate each expression.

Mathematics

1 answer:

Airida [17]3 years ago

3 0

1) 8 + 10 = 18
2) f / d
3) 8 + 7
4) 2 x 5

I hope this helps! Sorry if I did it incorrectly! ❤️ Have a nice day!

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What's the current yield of a 5.00 percent coupon corporate bond quoted at a price of 102.58?<br>

satela [25.4K]

I could be wrong but how I would answer is 5/100 and x/102.58 then cross multiply ? Which would be 102.58 x 5 = 512.9 and divided by 100 equals 5.129. Not sure but that’s how I would solve it.

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3 years ago

1/3x 6,000<br> helppp barely learning these

Ipatiy [6.2K]

Answer:

2000

Step-by-step explanation:

6000 / 3 = 2000

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3 years ago

Read 2 more answers

Which equation is equivalent to 16 Superscript 2 p Baseline = 32 Superscript p 3?.

Mrac [35]

The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

$2^{8p}=2^{5p+15}$

<h3>What is equivalent equation?</h3>

Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The given equation in the problem is,

$16^{2p}=32^{p+3}$

Write both the equation in the form of same base number as,

$(2^4)^{2p}=(2^5)^{p+3}$

The power of the power of a number can be written as product of both the numbers. Thus,

$(2)^{4\times2p}=(2)^{5\times(p+3)}\\2^{8P}=2^{5P+15}$

This is the required equation.

Now if the base is the same at both side of the expression, then the powers can be compared. Thus,

$8p=5p+15$

Solve it further to find the value of p as,

$8p-5p=15\\3p=15\\p=5$

Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

$2^{8p}=2^{5p+15}$

Learn more about the equivalent expression here;

brainly.com/question/2972832

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3 years ago

It takes 0.5 gallon of cream to make 1 pound of butter. How much cream would you need to make 2.5 pounds of butter?

Natasha_Volkova [10]

1.25 gallons

so we know 0.5 gallons makes 1 pound, and we know that there are at least 2 pounds of butter made.

so we know that there is 1 full gallon of cream used.

however, there is also .5 pounds of butter, so we need to find out the other half.

to do this, we need to split the .5 gallons of cream in half, making 0.25

then, we add 1 + 0.25 gallons to equal 1.25 gallons of cream needed to make 2.5 pounds of butter

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2 years ago

There are currently 16 teams in the National Football Conference (NFC). Of those teams, 11 have won at least one super bowl and

svp [43]

You are given 16 teams, 11 have won at least one super bowl and 5 have not.

A. The probability that both selected teams have won at least 1 super bowl is

$Pr(A)=\dfrac{C_{11}^2}{C_{16}^2}=\dfrac{\dfrac{11!}{2!(11-2)!}}{\dfrac{16!}{2!(16-2)!}}=\dfrac{\dfrac{10\cdot 11}{2}}{\dfrac{15\cdot 16}{2}}=\dfrac{55}{120}=\dfrac{11}{24}.$

B. The probability that neither selected team has won at least 1 super bowl is

$Pr(B)=\dfrac{C_{5}^2}{C_{16}^2}=\dfrac{\dfrac{5!}{2!(5-2)!}}{\dfrac{16!}{2!(16-2)!}}=\dfrac{\dfrac{4\cdot 5}{2}}{\dfrac{15\cdot 16}{2}}=\dfrac{10}{120}=\dfrac{1}{12}.$

C. The probability that at least one selected team has won at least 1 super bowl is

$Pr(C)=1-Pr(B)=1-\dfrac{1}{12}=\dfrac{11}{12}.$

D. to find the probability that the second team selected has won at least 1 super bowl given that the first team selected has not won a super bowl, consider such events:

P - the second team selected has won at least 1 super bowl;

Q - the first team selected has not won a super bowl.

Then

$Pr(P|Q)=\dfrac{Pr(P\cap Q)}{Pr(Q)}=\dfrac{\dfrac{5\cdot 11}{C_{16}^2}}{\dfrac{C_5^1\cdot C_{15}^1}{C_{16}^2}}=\dfrac{55}{75}=\dfrac{11}{15}.$

E. To find the probability that the second team selected has won at least 1 super bowl given that the first team selected has won at least 1 super bowl, consider events:

M - the second team selected has won at least 1 super bowl;

N - the first team selected has won at least 1 super bowl.

Then

$Pr(M|N)=\dfrac{Pr(M\cap N)}{Pr(N)}=\dfrac{\dfrac{11\cdot 10}{C_{16}^2}}{\dfrac{C_{11}^1\cdot C_{15}^1}{C_{16}^2}}=\dfrac{110}{165}=\dfrac{2}{3}.$

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3 years ago