which graph is the solution to the inequality below ? 3(x-5)<5x+7

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:

4

Step-by-step explanation:

Answer:

She missed 4 questions

Step-by-step explanation:

4/5=8/10=16/20

Answer:

-6

Step-by-step explanation:

just substitute -1 for x

15(-1)+9 = -15+9 = -6

Answer:

Slope W is 1/4, Slope Z is -4, Slope X is 1/4, Slope Y is -4

Step-by-step explanation: just did on edg and got it right

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:

2.56≥30

b≥12

Step-by-step explanation:

Answer:

1/8 of a cup

Step-by-step explanation:

The total amount of flour used in the recipe was 7/8 of a cup.

The recipe made 7 loaves. Each loaf has 1/7 of the total amount of flour.

1/7 * 7/8 = 1/8

Answer: 1/8 of a cup

Answer:

1/8

Step-by-step explanation:

Answer:

F=3x+2/2x

Step-by-step explanation:

Answer:

The ratio that is correct is 5/24.

The error that leads to the incorrect ratio is working with the different units of length.

Step-by-step explanation:

Here is the complete question:

A covered bridge is 8 yards long. In a painting for sale at a​ gallery, the bridge is 5 feet long. A customer wants to know the ratio of the length of the bridge in the painting to the actual length of the bridge. One salesperson says the ratio in simplest form is 5/8 Another salesperson says the ratio in simplest form is 5/24 Which ratio is​ correct? What error leads to the incorrect​ ratio?

Step-by-step explanation:

From the question,

A covered bridge is 8 yards long and in a painting at the gallery, the bridge is 5 feet long.

To determine the ratio of the length of the bridge in the painting to the actual length of the bridge,

First, we will convert both lengths to the same unit and then divide the length of the bridge in the painting by the actual length of the bridge.

Convert 8 yards to feet

1 yard = 3 feet

∴ 8 yards = (8 × 3) feet = 24 feet

The actual length of the bridge is 24 feet

The length of the bridge in the painting is 5 feet

Hence, the ratio of the length of the bridge in the painting to the actual length of the bridge is 5 feet ÷ 24 feet = 5/24

Hence, the ratio that is correct is 5/24.

The error that leads to the incorrect ratio is working with the different units of length (that is, not converting both length to the same unit before determining the ratio).

Answer:

(-6, 7)

Step-by-step explanation:

Answer: 2.4

hope this helps

Step-by-step explanation:

2.4 x 10=24

Answer:

0.1 days

calculated to 2.4 hours is 0.1 days hope this helps can I get brainliest

Step-by-step explanation:

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:

The answer is A) 1/8^2

Step-by-step explanation:

Both of the equations simplified equal 1/64.

Answer:

$6

Step-by-step explanation:

Each pack is $3

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

Answer:

D

Step-by-step explanation:

rational function is a quotient of two polynomial functions.

Rational function is y=x-3/x², which correct option(C)

A rational function is defineds as a polynomial divided by a polynomial.

Rational function [tex]y = \frac{x-3}{x^{2} }[/tex]

In above function have numerator is one degree polynomial and denominator second degree polynomial ,

Hence, it is rational function.

learn more about rational function

https://brainly.com/question/20850120

#SPJ2

Answer:

18%

Step-by-step explanation:

6840:38000*100 =

(6840*100):38000 =

684000:38000 = 18

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.

Answer:

563.76

here ya go

Answer:

563.76

Step-by-step explanation:

(8.59 x 104) - (3.2 x 103)

893.36 - 329.6

=563.76

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:

2

Step-by-step explanation:

Your expression would be 18÷b=

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:

16384

Step-by-step explanation:

=4^4*4^3

=(4*4*4*4)*(4*4*4)

=4*4*4*4*4*4*4

=4^7

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

6²[tex]x[/tex]−10

Step-by-step explanation:

wow-

Answer: 10,000

Step-by-step explanation:Hope this helps!

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