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3 years ago

Can somebody help me with solve this question

Mathematics

1 answer:

nexus9112 [7]3 years ago

7 0

Answer:

f⁻¹(y) = y^(-7/17)

Step-by-step explanation:

f(x) = x^(-17/7)

To find the inverse, switch x and y, and solve for y.

x = y^(-17/7)

x^(-7/17) = y

Therefore, f⁻¹(y) = y^(-7/17).

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180 product of a prime factor using indices

zvonat [6]

Start with 180.
Is 180 divisible by 2? Yes, so write "2" as one of the prime factors, and then work with the quotient, 90. 

Is 90 divisible by 2? Yes, so write "2" (again) as another prime factor, then work with the quotient, 45. 

Is 45 divisible by 2? No, so try a bigger divisor. 
Is 45 divisible by 3? Yes, so write "3" as a prime factor, then work with the quotient, 15 

Is 15 divisible by 3? [Note: no need to revert to "2", because we've already divided out all the 2's] Yes, so write "3" (again) as a prime factor, then work with the quotient, 5. 

Is 5 divisible by 3? No, so try a bigger divisor. 
Is 5 divisible by 4? No, so try a bigger divisor (actually, we know it can't be divisible by 4 becase it's not divisible by 2)
Is 5 divisible by 5? Yes, so write "5" as a prime factor, then work with the quotient, 1 

Once you end up with a quotient of "1" you're done. 

In this case, you should have written down, "2 * 2 * 3 * 3 * 5"

5 0

3 years ago

Read 2 more answers

FYI, I don't have many points.

zimovet [89]

Answer:

ok i see that question it would be 3

Step-by-step explanation:

6 0

3 years ago

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melisa1 [442]

2 root 10 bfngjtejrahtwhw

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2 years ago

Identify the zeros of the following function. f(h)=h(h-2)(2h-1)

Rina8888 [55]

{0, 2, 1/2}

f(h) = 0 when any set of parenthesis equals zero

1. h = 0

2. h - 2 = 0
add 2
h = 2

3. 2h - 1 = 0
Add 1
2h = 1
divide by 2
h = 1/2

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.

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