the time to failure of a rechargeable battery is exponentially distributed with a mean of 3 years. what is the probability that two batteries used sequentially will last more than 4 years? g

Answer:

26 for the first and 18 for the second.

Step-by-step explanation: 44-8=36. 36÷ 2=18. 18+8=26. So, you get 26 and 18 hours.

\(\\ \ast\bull\rm\longmapsto 8(4d+3)+8d\)

\(\\ \ast\bull\rm\longmapsto 32d+24+8d\)

\(\\ \ast\bull\rm\longmapsto 32d+8d+24\)

\(\\ \ast\bull\rm\longmapsto 40d+24\)

Answer:

15

Step-by-step explanation:

4 (Book per cost)+ 4.47 (Shipping Fee) = 8.75 cost of one book $132.75 Divided by $8.75 = 15 Books bought.

Answer: D 1+5=5+1

Step-by-step explanation: Commutative property of addition Changing the order of addends does not change the sum.

Answer:

2.5 hours

Step-by-step explanation:

The total amount of time studying by students who spent 1/2 an hour studying is the product of the number of students who spent 1/2 an hour studying by 1/2 an hour.

Hence, counting the number of dots on the point marked 1/2 gives the count of students who spent 1/2 an hour studying and multiply this number by 1/2.

Total amount of hours spent = 1/2 * 5 = 2.5 hours

Answer:

12 inches

Step-by-step explanation:

if it is a square then you do 3×4 to get the perimeter

The values that would represent those having type O blood are between 000 and 449, inclusive (Option 3).

The given study states that 45% of Americans have type O blood. This means that out of 100 individuals, 45 would have type O blood. When using a random number generator producing three-digit values from 000 to 999, we can determine which values represent those having type O blood.

Since 45% of Americans have type O blood, it implies that the probability of an individual having type O blood is 0.45. The random number generator produces equally likely values from 000 to 999, where each value has a probability of 1/1000.

To find the values representing those having type O blood, we need to consider the range of values that corresponds to the 45% probability. The inclusive range between 000 and 449 (Option 3) represents the values that have a probability less than or equal to 0.45. Therefore, the values between 000 and 449, inclusive, would represent those having type O blood.

To learn more about probability visit:

brainly.com/question/30034780

#SPJ11

The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

To learn more about simplification of expression link is here

brainly.com/question/14526172

#SPJ4

Answer: 20

Step-by-step explanation:

Answer:

elapsed time: 3 hours and 49 minutes

Step-by-step explanation:

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

consider joining our disc*rd server for unlimited hw help! we also have an active giveaway rn. code: RPEdT3erFm <3

Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Answer:

66 students

Step-by-step explanation:

To find how many played bass instruments, multiply 120 by 0.55

120(0.55)

= 66

So, 66 students played bass instruments

The value of b in Rhombus UVWX is 86 degrees.

In a rhombus, opposite angles are congruent, so we have:

Angle W = Angle U = 90 degrees (since UVWX is a rhombus)

Angle V = Angle X (opposite angles are congruent)

Using the fact that the sum of the angles in a quadrilateral is 360 degrees, we can write an equation in terms of b:

Angle U + Angle V + Angle W + Angle X = 360 degrees

Substituting the known values, we get:

90 + Angle V + 90 + Angle X = 360

Simplifying, we get:

Angle V + Angle X = 180

Substituting Angle V = 2b - 62 and Angle X = b - 16, we get:

2b - 62 + b - 16 = 180

Simplifying, we get:

3b - 78 = 180

Adding 78 to both sides, we get:

3b = 258

Dividing by 3, we get:

b = 86

Therefore, the value of b in rhombus UVWX is 86 degrees.

To know more about Rhombus .

https://brainly.com/question/29629002

#SPJ11

Answer:

Step-by-step explanation:

if it is an even degree polynomial then it can have imaginary roots =degree of polynomial.

if it is an odd degree polynomial (say 2n+1 degree) then it can have at the most 2n imaginary roots.

Answer:y = 4x-5.

Step-by-step explanation:

Answer:

The width is 3

Step-by-step explanation:

24/8=3

Answer:

35

60

91%

Step-by-step explanation:

If a soil sample test gives a positive result, it is **91.7%** likely that the soil sample contains organic matter.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Positive results= 95%

Negative results= 5%

Now,

Positive result = 700 * 0.95 = 665

Negative result = 700 * 0.05 = 35

Similarly, for the soil samples that do not contain organic matter, we know that 20% of them will give a positive result and 80% will give a negative result. So, we can multiply 300 by 0.2 and 0.8 to get:

Positive result = 300 * 0.2 = 60

Negative result = 300 * 0.8 = 240

To fill in the missing value in the statement, we can use Bayes' theorem, which states that:

P(A|B) = P(B|A) * P(A) / P(B)

So, we have:

P(contains organic matter | positive result) = P(positive result | contains organic matter) * P(contains organic matter) / P(positive result)

P(positive result) = P(positive result | contains organic matter) * P(contains organic matter) + P(positive result | does not contain organic matter) * P(does not contain organic matter)

P(positive result) = 0.95 * 0.7 + 0.2 * 0.3

P(positive result) = 0.665 + 0.06

P(positive result) = 0.725

Plugging these values into Bayes' theorem, we get:

P(contains organic matter | positive result) = (0.95 * 0.7) / (0.725)

P(contains organic matter | positive result) = (0.665) / (0.725)

P(contains organic matter | positive result) = 0.9172

Therefore, by probability the answer will be 91.7%

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ7

The most apt description of expected value is: The long-term average outcome of an experiment.

Expected value refers to the long-term average outcome of an experiment. It is a mathematical concept that represents the average value of a random variable over an infinite number of trials.

In other words, it is the sum of all possible outcomes of an experiment, weighted by their probability of occurring.

Expected value is a crucial concept in probability theory and statistics, as it helps in predicting the likely outcome of an experiment or event. It is often used in decision-making processes, such as in finance and insurance, to calculate the potential risks and rewards associated with different options.

The other options listed in the question are not correct definitions of expected value. The standard deviation is a measure of the variability or spread of a random variable, while the best result and median are specific values that may or may not be related to the expected value.

What you should expect to happen in an experiment every time may be related to the expected value, but it is not a precise definition.

Overall, expected value is a fundamental concept in probability theory and statistics that represents the long-term average outcome of an experiment or event.

To know more about expected value refer here:

https://brainly.com/question/28197299#

#SPJ11

The least square regression line implies a mathematical equation that models the relationship between the dependent and independent variables. Hence, it may be used to predict a value of y if the corresponding x value is given. The least square regression line also called the best fit line, gives a mathematical relationship between variables in slope-intercept form.The predicted value of y or x if the corresponding value of either variable is given.

what is regression?

A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.

To know more about Regression

https://brainly.com/question/25987747

#SPJ4

The solution for this question is (10x-4) + (-7+ x) = (10x + x) + (-4 - 7) = 11x - 11

Why it is and what is expression in math?

(10x-4) + (-7+ x) = (10x + x) + (-4 - 7) = 11x - 11

Therefore, the missing values are:

The first missing value is "x", as we have combined the "10x" and "x" terms to get "11x".

The second missing value is "-11", as we have combined the "-4" and "-7" terms to get "-11".

Therefore, the final expression is: 11x - 11

In math, an expression is a combination of numbers, variables, and operations (such as addition, subtraction, multiplication, and division) that can be evaluated to produce a single value. An expression can contain constants (fixed numbers), variables (which represent unknown values), or a combination of both.

For example, "2 + 3" is an expression that represents the sum of 2 and 3, which can be evaluated to produce the value 5. Similarly, "4x - 2" is an expression that contains a variable (x) and represents the result of multiplying x by 4 and then subtracting 2.

To know more about expression related question visit:

https://brainly.com/question/14083225

#SPJ1

Answer:

\( \frac{3}{2 } \times \frac{11}{4} \\ \frac{33}{8} \\ 4 \frac{1}{8} \)

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

Learn more about the volume of cuboid here:

https://brainly.com/question/29568631

#SPJ4

Answer:

4x +8= 20

2x+3= 9

Step-by-step explanation:

4 times 3 equals 12 and 12+8 = 20

2 times 3 is 6 and 6+3=9

Answer:

4x+8=20

2x+3=9

Step-by-step explanation:

I used substitution.

I substituted x with 3 so

4(3)+8=20

same with the other one,

2(3)+3=9

Hope this helped!

The Braille system uses two vertical columns of three dots each to represent characters. There are 8 possible combinations for each column, giving a total of 64 distinct Braille characters.

The Braille system of representing characters was developed by Louis Braille in the early nineteenth century. This system is used by blind people and consists of raised dots that represent characters. The positions for the dots are selected from two vertical columns of three dots each. At least one raised dot must be present to represent a character.

To determine the number of distinct Braille characters possible, we need to consider the number of ways we can arrange the dots in the two vertical columns. Each column has three dots, and we need to choose which of these three dots to raise to represent a character. This gives us a total of 2^3 = 8 possible combinations for each column.

Since we have two columns, we can multiply the number of possible combinations for each column to get the total number of distinct Braille characters. This gives us 8 x 8 = 64 possible characters.

Learn more about blind people here:

brainly.com/question/30490877

#SPJ11

The f(x) is given by a power series. f'(0) = 0, f''(0) = -2/3, so f has a local maximum at x=0. The Taylor series of f(1) approximated by 1-(1/3!)  with error less than 1/100. The differential equation is xy' + y = cos(x) has solution y(x) = sinx .

To find f'(0), we differentiate the power series term by term

f'(x) = ∑n=1^∞ (-1)^(n-1) x^(2n-1) / (2n)!

Then, we substitute x=0 to get

f'(0) = ∑n=1^∞ (-1)^(n-1) (0)^(2n-1) / (2n)! = 0

To find f''(0), we differentiate the power series for f'(x)

f''(x) = ∑n=1^∞ (-1)^(n-1) (2n-1) x^(2n-2) / (2n)!

Then, we substitute x=0 to get

f''(0) = ∑n=1^∞ (-1)^(n-1) (2n-1) (0)^(2n-2) / (2n)! = 0

Since f'(0) = 0 and f''(0) = 0,

f has a local maximum at x=0

To show that 1-(1/3!) approximates f(1) with error less than 1/100, we first note that

|f(1) - (1 - 1/3!)| = |∑n=2^∞ (-1)^(n-1) / (2n+1)!| ≤ ∑n=2^∞ 1/(2n+1)!

We can use the inequality 1/(n!) < 1/2^n to bound the series

∑n=2^∞ 1/(2n+1)! < ∑n=2^∞ 1/2^(2n-1) = 1/4

Therefore, |f(1) - (1 - 1/3!)| < 1/4, which is less than 1/100.

To show that y=f(x) is a solution to the differential equation xy' + y = cosx, we first find y'

y(x) = ∑n=0^∞ (-1)^n x^(2n) / (2n+1)!

y'(x) = ∑n=1^∞ (-1)^(n-1) x^(2n-1) / (2n)!

Then, we substitute y and y' into the differential equation

x ∑n=1^∞ (-1)^(n-1) x^(2n-1) / (2n)! + ∑n=0^∞ (-1)^n x^(2n) / (2n+1)! = cosx

We can simplify this equation by combining the series

∑n=0^∞ [(-1)^n x^(2n) / (2n+1)! - (-1)^n x^(2n+1) / (2n+2)!] = cosx / x

Recognizing the series on the left-hand side as the power series for sinx, we have

sinx / x = cosx / x

Therefore, y(x) = sinx is a solution to the differential equation.

To know more about differential equation:

https://brainly.com/question/2273154

#SPJ4

Answer:

239

Step-by-step explanation:

239 because do the answers in the parenthesis first then do the rest.