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Lisa [10]
3 years ago
13

What is the sum of 5 to the fourth power and 3 to the second power​

Mathematics
2 answers:
EleoNora [17]3 years ago
4 0

Answer:

634

Step-by-step explanation:

5^{4\\}=625

3²=9

625+9=634

liberstina [14]3 years ago
4 0
5 to the fourth power = 625
work: 5x5x5x5 = 625
3 to the second power = 9
3x3=9
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Let Y1 and Y2 be independent exponentially distributed random variables, each with mean 7. Find P(Y1 > Y2 | Y1 < 2Y2). (En
ArbitrLikvidat [17]

<em>Y</em>₁ and <em>Y</em>₂ are independent, so their joint density is

f_{Y_1,Y_2}(y_1,y_2)=f_{Y_1}(y_1)f_{Y_2}(y_2)=\begin{cases}\frac1{49}e^{-\frac{y_1+y_2}7}&\text{for }y_1\ge0,y_2\ge0\\0&\text{otherwise}\end{cases}

By definition of conditional probability,

P(<em>Y</em>₁ > <em>Y</em>₂ | <em>Y</em>₁ < 2 <em>Y</em>₂) = P((<em>Y</em>₁ > <em>Y</em>₂) and (<em>Y</em>₁ < 2 <em>Y</em>₂)) / P(<em>Y</em>₁ < 2 <em>Y</em>₂)

Use the joint density to compute the component probabilities:

• numerator:

P((Y_1>Y_2)\text{ and }(Y_1

=\displaystyle\frac1{49}\int_0^\infty\int_{\frac{y_1}2}^{y_1}e^{-\frac{y_1+y_2}7}\,\mathrm dy_2\,\mathrm dy_1

=\displaystyle-\frac17\int_0^\infty\int_{-\frac{3y_1}{14}}^{-\frac{2y_1}7}e^u\,\mathrm du\,\mathrm dy_1

=\displaystyle-\frac17\int_0^\infty\left(e^{-\frac{2y_1}7} - e^{-\frac{3y_1}{14}}\right)\,\mathrm dy_1

=\displaystyle-\frac17\left(-\frac72e^{-\frac{2y_1}7} + \frac{14}3 e^{-\frac{3y_1}{14}}\right)\bigg|_0^\infty

=\displaystyle-\frac17\left(\frac72 - \frac{14}3\right)=\frac16

• denominator:

P(Y_1

(I leave the details of the second integral to you)

Then you should end up with

P(<em>Y</em>₁ > <em>Y</em>₂ | <em>Y</em>₁ < 2 <em>Y</em>₂) = (1/6) / (2/3) = 1/4

5 0
3 years ago
I needddd helppppp. . . . . .
tankabanditka [31]

Answer:

F. 5:4

Step-by-step explanation:

Solve for a and c to find the ratio of a to c:

  • 2a = 3b
  • a = 3/2(b)
  • 6b = 5c
  • c = 6/5(b)

Now, we can use the value of a and c to find the ratio of a to c:

  • (3/2(b))/(6/5(b))
  • 3b/2 × 5/6b
  • 15b/12b
  • 5/4

F. 5:4 is the correct answer

8 0
4 years ago
Vinny is interviewing for a job. he wants his take-home pay to be at least $42,000$42,000. what is the least salary he can earn
Elena-2011 [213]

56,000 would be the answer. If you divide the 42,000 by 3 then add your quotient to the original number you get his salary before tax.


7 0
4 years ago
Read 2 more answers
Answer all for points
IceJOKER [234]

Answer:

1. If we drink 8 glasses, we are drinking 2 L of water, so we are exceeding 1 L of water per day.

2. We need 100 sections.

I used metric conversion to convert km to meters.

3. 230 mL  of lemonade per person

I used metric conversion to convert L to ML

Step-by-step explanation:

1.  250 mL  = 1 glass

We are drinking 8 glasses

8 glasses * 250 ml/ 1 glass = 2000 mL

1 L = 1000 mL

2000 mL * 1 L/1000 mL =2 L

If we drink 8 glasses, we are drinking 2 L of water, so we are exceeding 1 L of water per day.

I used metric convertsion to convert mL to liters.

Guardrails sections to be 5m long

Road length that needs a guardrail is .5 km.  We need to convert this to meters  1000 m = 1 km

.5km * 1000m / 1km = 500 meters

We have 500 meters that needs guardrails.

500 meters * 1 section/ 5 meters = 100 sections

We need 100 sections.

I used metric conversion to convert km to meters.


3.  6.9 L of lemonade to serve 30 people.  We want to serve ml

Convert L to mL

1L = 1000 ML

6.9 L * 1000 ml/1L = 6900 mL

We need to divide 6900 Ml by 30 people

6900mL/30 people = 230 mL  of lemonade per person

I used metric conversion to convert L to ML


5 0
3 years ago
Martin wants to build an additional closet in a corner of his bedroom. Because the closet will be in a corner, only two new wall
Gekata [30.6K]

The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.

  • <em>The equation for f(l) is: </em>f(l) = 1.5l<em>.</em>
  • <em>The desired length and width are 8m and 4m</em>

<em />

Given that:

l = 2w

Divide both sides by 2

w = 0.5l

<u>Equation of f(l)</u>

The sum of the length and the width is represented as: f(l).

So, we have:

f(l) = l + w

Substitute w = 0.5l

f(l) = l + 0.5l

f(l) = 1.5l

See attachment for the graph of f(l)

<u>The desired dimension</u>

From the question, we understand that the total length is 12m.

This means that:

f(l) = 12

So, we have:

1.5l = 12

Divide both sides by 1.5

l = 8

Recall that:

w = 0.5l

w = 0.5 \times 8

w = 4

Hence, the desired length and width are 8m and 4m, respectively.

Read more about linear equations at:

brainly.com/question/2263981

8 0
3 years ago
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