Solve for s in the proportion.

Answer:

Explained below.

Step-by-step explanation:

The probability density function of lifetime in months of a transistor in a certain application is:

[tex]f(x)=0.4\cdot e^{-0.4x};x>0[/tex]

The probability density function suggests that the random variable X follows a exponential function with parameter λ = 0.4.

(a)

Compute the mean lifetime as follows:

[tex]\mu=\frac{1}{\lambda}=\frac{1}{0.40}=2.5[/tex]

Thus, the mean lifetime is 2.5 months.

(b)

Compute the standard deviation of the lifetimes as follows:

[tex]\sigma=\sqrt{\frac{1}{\lambda^{2}}}=\sqrt{\frac{1}{0.40^{2}}}=2.5[/tex]

Thus, the standard deviation of the lifetimes is 2.5 months.

(c)

The cumulative distribution function of the lifetime is:

[tex]CDF=1-e^{-0.40x}[/tex]

(d)

Compute the probability that the lifetime will be less than 6 months as follows:

[tex]P(X<6)=\int\limits^{6}_{0} {0.40\cdot e^{-0.40x}} \, dx[/tex]

               [tex]=0.40\times [\frac{e^{-0.40x}}{-0.40}]^{6}_{0}\\\\=-1\times [e^{-0.40\times6}-e^{-0.40\times0}]\\\\=-0.090718+1\\\\=0.909282\\\\\approx 0.9093[/tex]

Thus, the probability that the lifetime will be less than 6 months is 0.9093.

(e)

Compute the 60th percentile of the lifetime as follows:

[tex]P(X<x)=0.60\\\\\int\limits^{x}_{0} {0.40\cdot e^{-0.40x}} \, dx=0.60\\\\0.40\times [\frac{e^{-0.40x}}{-0.40}]^{x}_{0}=0.60\\\\-1\times [e^{-0.40\times x}-e^{-0.40\times0}]=0.60\\\\1-e^{-0.40x}=0.60\\\\e^{-0.40x}=0.40\\\\-0.40x=\ln(0.40)\\\\-0.40x=-0.916291\\\\x=2.2907275\\\\x\approx 2.3[/tex]

Thus, the 60th percentile of the lifetime is 2.3 months.

Answer: 10,000

Step-by-step explanation:Hope this helps!

Answer:

x = 3

y = − 2

Step-by-step explanation:

ayo the answer is 18.

Answer:

3+6+9

9+9= 18

Therefore 3+6+9=18

Answer:

P= 0.015x+60

Step-by-step explanation:

thats the right answer

If Cooper is a salesperson who sells computers at an electronics store. He makes a base pay amount of $60 per day regardless of sales and he earns a commission of 1.5% of the dollar amount of all sales that he makes. Then P = 0.015x + 60 is total pay.

Two or more expressions with an Equal sign is called as Equation.

Given that Cooper's base pay is $60 per day

He gets $60 even for not selling computers,

meaning P= 60 when x=0, which is the y-intercept.

Now if Cooper makes a commission of 1.5% for all sales,

His earning will be increased by 1.5%.

The percentage value should be changed to decimal value. By Dividing 1.5 by 100

1.5/100=0.015

The amount of money earned in a given day increases $0.015 for each $1 of sales made.

Here x, representing Cooper's total pay on a day on which he sells x dollars of worth computers.

P = 0.015x + 60

Hence P = 0.015x + 60 is the total pay of cooper .

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

Juan ate 5/8 his little brother ate 3/8

Step-by-step explanation:

Answer:

juan = 5/8

brother = 3/8

Answer:

-3x -3

If this is not the answer you are looking for plz let me know!!!

Answer:

-6x+8=14

Step-by-step explanation:

1/2*(-6x+8)-7 |+7

1/2*(-6x+8)=7 | ÷1/2

-6x+8=14

You mean sth like this?

Answer:

18

Step-by-step explanation:

(2) x 9

18

That's it

Byeeeee

Answer:

He got 42,000 subs in the 2 weeks.

Step-by-step explanation:

ANSWER:

42,000

SOLUTION:

44,000

- 2,000

42,000

Answer:

The letter E

Answer:

The correct answer is:

The data are continuous because the data can take on any value in an interval. (C)

Step-by-step explanation:

Discrete data are data that can take on certain limited values. There is a limit to what values can be assigned to such data. For example, the number of children in a school will just be whole numbers, either 20 or 50 or 55 or 108, etc, you cannot have 100.5 children. This makes it limited to the values it can take on, hence it is discrete

Continuous data, on the other hand, are data that can take on any value within a scale. The possibility of assigning a value is unlimited. for example height. The height can be 3m, 3.8m, 4.57m, etc, there's no limit to the possibility that a height can take. Other examples are; temperature, weight, acceleration, volume etc. In this example the volume of a room in cubic feet can be 30ft³, 50.6ft³, etc. The possibilities are endless, hence it is a continuous data.

Answer: {2, -9}

Step-by-step explanation: Think of these two binomials, x -2 and x + 9,

as two numbers that are multiplying together to equal zero.

In order for two numbers to multiply together to equal zero,

either one number or the other number must equal zero.

So for two binomials to multiply together to equal zero,

either one binomial or the other binomial must equal zero.

So we can split this problem up into two parts.

If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.

On the left, add 2 to both sides and we have x = 2.

On the right, subtract 9 from both sides and we have x = -9.

For our final answer we use set notation.

So our answer is {2, -9}.

Answer:

2 and -9

Step-by-step explanation:

x-2=0

x=2

x+9=0

x=-9

Answer: 15

Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.

780 is the answer. Hope this helps :)

Answer:

12 : 8, 18 : 12, 24 : 16, 30 : 20

Step-by-step explanation:

These are the four after 6:4. I didn't know which you needed.

Answer:

3:2

Step-by-step explanation:

If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.

6/2=3

4/2=2

The ratio is now simplified/equivalent to 3:2.

I hope this helps...have an amazing day c:

Answer:

the answer is a

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

According to this question, y varies directly with x. Mathematically, This means that:

y =kx

Where k is the constant variable

If y=30 and x=0.75, then k will be;

k = y/x

k = 30/0.75

k = 40

Since k = 40,

y = 40x

Therefore, when x=5.25, the value of y will be:

y = 40x

y = 40 × 5.25

y = 210.

Answer:

$6

Step-by-step explanation:

Each pack is $3

So therefore if you multiply 2($3) it is $6 for two packs

Answer:

1 sig fig = 1

2 sig fig = 13

3 sig = 126

4 sig fig 1258

Step-by-step explanation:

I think that's what you're asking but I'm not sure

Answer:

y = 1/6x - 8/3

Step-by-step explanation:

The equation of a line in slope-intercept form is.

y = mx + b

where m represents the slope and b, the y-intercept.

Rearrange y + 2 = 1/6 (x - 4)  into this form

distribute bracket and simplify.

y + 2 = 1/6x - 2/3

⇒ y = 1/6x - 2/3 - 2

⇒ y = 1/6x - 8/3 ← in slope-intercept form

Answer:

4

Step-by-step explanation:

Answer:

She missed 4 questions

Step-by-step explanation:

4/5=8/10=16/20

Answer:

103 at most and 87 at least

Step-by-step explanation:

95-8=87 seeds

95+8=103 seeds

Answer with step-by-step explanation:

Max: 25 + 3 = 28

Min: 25 - 3 = 22

Hope this helped!

Answer:

D=5 2/5 cups of sugar for 4 cups of flour

Step-by-step explanation:

I cross multiplied and man was that a lot of fractions

Answer:

[tex] x = \dfrac{1}{6} + \dfrac{i\sqrt{47}}{6} [/tex]   or   [tex] x = \dfrac{1}{6} - \dfrac{i\sqrt{47}}{6} [/tex]

Step-by-step explanation:

Use the quadratic formula.

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(4)}}{2(3)} [/tex]

[tex] x = \dfrac{1 \pm \sqrt{1 - 48}}{6} [/tex]

[tex] x = \dfrac{1 \pm \sqrt{-47}}{6} [/tex]

[tex] x = \dfrac{1}{6} \pm \dfrac{i\sqrt{47}}{6} [/tex]

[tex] x = \dfrac{1}{6} + \dfrac{i\sqrt{47}}{6} [/tex]   or   [tex] x = \dfrac{1}{6} - \dfrac{i\sqrt{47}}{6} [/tex]

Answer:

131

Step-by-step explanation:

Given that:

Median of a consecutive odd integers = 138

Greatest integer In dataset = 145

Least integer in dataset =

Since the integers are consecutive ;

Number of integers to greatest integer value : Greatest integer - median value = 145 - 138 = 7

Hence, 7 integers before the median value should give us the least integer value ;

138 - 7 = 131

CHECK:

131,132,133,134,135,136,137,138,139,140,141,142,143,144,145

Median = (n+1)/2 th term

Median = (15+1)/2 = 8th term = 138

Highest = 145

Least = 131

Answer:

131

Explanation:

It was in a Mathcounts competition

Answer:

$207

Step-by-step explanation:

Given the following :

Data:

X : Distance From Times Square (city blocks)

Y: Cost of a Room (dollars) (y)

The linear regression model generated for the data :

y = -7.8x + 246.3

y = predicted variable ; - 7. 8 = slope of model ; x = predictor variable ; 246.3 = intercept

Using the model:

The cost of a Room 5 block away :

x = 5

y = -7.8(5) + 246.3

y = - 39 + 246.3

y = $207.3

Answer:

The expression to represent the total shipping costs for x package is 6x.

Tommy will pay $ 12 in shipping and handling for 2 packages.

Step-by-step explanation:

Given that the shipping and handling charge for 1 package = $ 6

So, by using the elementary method, the shipping and handling charge for x package is $ 6x.

Hence, the required expression to represent the total shipping costs for x package is 6x.

For 2 package, x=2

So, the shipping and handling charge for 2 package

=6x2

=12.

So, Tommy will pay $ 12 in shipping and handling for 2 packages.

Answer:

the answer is x= 10

Step-by-step explanation:

Answer:

The answer is A) 1/8^2

Step-by-step explanation:

Both of the equations simplified equal 1/64.