The number of years a Mars rover is expected to function on the surface of Mars is exponentially distributed with parameter λ = 0.25. If the company Budget Mars Explorer Inc. successfully lands a Mars rover on the planet Mars, what is the probability that it will be working for an additional 10 years after it last sent a communication to mission control?

Answers

Answer 1

Answer:

the probability that it will be working for an additional 10 years after it last sent a communication to mission control is 0.0821

Step-by-step explanation:

Given that;

years a Mars rover is expected to function on the surface of Mars λ = 0.25

probability that it will be working for an additional 10 years after it last sent a communication to mission control?

Now x is number of years a Mars rover function

f(x) = 0.25e^-0.25x , 0 < n < ∞

so

P( X>10 ) = ₁₀∫^∞ 0.25e^(-0.25n) dn

= e^(-0.25 × 10)

= e^(-2.5})

= 0.0821

therefore the probability that it will be working for an additional 10 years after it last sent a communication to mission control is 0.0821


Related Questions

please helppp ppppñpñp

Answers

Answer:

I tried my best to explain it, hope it helps!

Step-by-step explanation:

1. Solve for x.
(3x + 23)

Answers

Step-by-step explanation:

ummmmmmmmmmmmmmmmm i really wish i coud help but im not sure what is it i thik it mit be =3x+23

but i could be rong pls dont be mad if it is

Brendan just became a personal trainer and is finalizing his pricing plans. One plan is to charge $50 for the initial consultation and then $60 per session. Another plan is to charge $100 for the consultation and $50 per session. Brendan realizes that the two plans have the same cost for a certain number of sessions. After how many sessions will the pricing be the same?

Answers

Answer:

1700

Step-by-step explanation:

10 raise to power2 - 11 raise to power 2 + 4raise to power2​

Answers

10^2 = 100
11^2 = 121
4^2 = 16

100 - 121 + 16

116 - 121

-5

Answer:

-5

Step-by-step explanation:

100 - 121 + 16

Power of 2 just means to multiply the number by iteself. So 10×10, 11×11, 4×4.

Pls answer this! I will give you Brainliest!!!

Answers

Answer:

angle 3

Step-by-step explanation:

because a supplementary angle is an angle that equals 180 or just a straight line.

Answer:

its the one with 2

Step-by-step explanation:

Write an
equation for the line parallel to the given line that contains C.
C(- 4,6); y = 6/7x+6

Answers

Answer:

y = 6/7x +3.43

Step-by-step explanation:

Parallel lines have the same slope. To find the equation, you must use the same slope and plug in the coordinates into the y and x of the equation to get 6= (6/7)(-4) +b

You'll get 3.43 (rounded) for b

Then combine it all together to get the answer above! Hope that helps!

A cookie recipe for 60 cookies calls for 4 cups of flour. how much flour is needed to make 90 cookies that elevated, flat-topped landforms are shown in the above picture?

Answers

Answer:

6

Step-by-step explanation:

60/4=15

1 cup of flour=15 cookies

2 cups of flour= 30 cookies

3 cups of flour= 45 cookies

4 cups of flour= 60 cookies

5 cups of flour= 75 cookies

6 cups of flour= 90 cookies

You need 6cookies to do that

Please answer!!!!!!!!!!!!!

Answers

I need help as well
Ok so first solve for the 90 degree equation because you already know what degree it is. So 90- 18 then you divide by 8 and you get 9. X = 9

That means KLM is 184
And M is 84

M is 84 because a full triangle is 360 and if we have the other two degrees we subtract that from 360.
So 360-90=270
And 270-184=86!

Tell me if that makes sense and if you can please mark brainliest (idek how to spell at this point)

2 x 2 x 2 x 7 is the prime factorization of what number?? please help :(

Answers

Answer:

2×2×2×7

Step-by-step explanation:

if you multply 2×2 it is 4×2=8×7=56

backward is easy 7×2= 14×2= 28×2=56

2 × 2 × 2 × 7 is the prime factorization of the number 56.

Given that,
To determine the number whose prime factorization is given as 2 x 2 x 2 x 7.

What is the factors?

Factors can be defined by splitting the value into multipliable values.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Prime factorization of the number are a multiplicable number that consists of the prime numbers only,
According to the question,
2 x 2 x 2 x 7  = 56

Thus,  2 × 2 × 2 × 7 is the prime factorization of the number 56.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ3


1a) How much does each person pay when 6 people share the cost of a meal
costing $100?

Answers

Answer:

16.66

Step-by-step explanation:

Answer:

16.6666666667

Step-by-step explanation:

you take 100 and divide it by 6 and you will get 16.6666666667 or if you round it you will get 17 dollars

equation 6x + 8y = 24. Determine the slope, y-intercept, and x-intercept and illustrate how you found each of these. Finally, explain what they represent in your word problem.

Answers

Answer:

slope is -6/8, y-int is 3, x-int is 4, this is found by setting the other variable to 0 and dividing -6 by 8 when you subtract 6x from the left side

Step-by-step explanation:

The slope is -3/4, y- intercept is 3 and x- intercept is 4.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Equation: 6x+ 8y= 24

As, the slope intercept form is

y = mx+ b

where m is the slope, b is the y- intercept.

Now, 6x+ 8y = 24

8y = 24- 6x

y = 24/8 - 6x/8

y = 3 - 3x /4

Thus, the slope is -3/4, y- intercept is 3.

Now, for x- intercept put y= 0

0 =3- 3x/4

3= 3x/4

x= 3 (4/3)

x= 4

Learn more about Equation here:

https://brainly.com/question/29657983

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Find the volume of the cylinder please

Answers

Answer:

105.m3

Step-by-step explanation:

PLEASEE HELPPPP PLEASEE thiss IS FOR MY FRIEND I BEGG YOUUU PLEASEEE

Answers

Answer:

Step-by-step explanation:

Why are you asking? Why isn't your friend?

The diagram assumes that the angle on the lower left of the triangle is a right angle. If it is not, then I don't think there is a way that this can be solved.

Tan(A) = opposite / adjacent

opposite = 7

Adjacent = 4

Tan(A) = 7/4 = 1.75

A = inverseTan (1.75)

A = 60.60 degrees

Evaluate h(-17) for the function null

Answers

Answer:

the answer is 49

Step-by-step explanation:

Help please if you get it right then you get brainliest

Answers

Answer:

C. Australia and Antarctica were a single landmass in the past.

Step-by-step explanation:

The most likely explanation for why the fossils of this plant are found on these two continents is that Australia and Antarctica were a single landmass in the past.

This evidence is vastly supported by the theory of plate tectonics originally, the theory of continental drift.

Plate tectonics proposes that all land masses were once joined together as a single supercontinent called Pangaea.

The region of Antartica and Australia were once joined as a single continental mass.

The plant must have developed together at that time.

When the continents moved apart, they still had the fossils.

please help me put :>

you are buying orange juice for $3.50 per container and have a gift card worth $5. the function f(x)=3.50x - 5 represents your total cost f(x) if you buy x containers of orange juice and use the gift card. How much would you pay for 4 containers of orange juice? ​

Answers

Answer:

You would pay 9 dollars because 4 times 3.5 is 14. If you subtract the 5 dollars from the gift card you're only paying 9 dollars out of pocket

Why is this statement false?
If a number has 2 and 4 as factors, then it has 8 as a factor.

Answers

Answer:

It is false

Step-by-step explanation:

It is false because 12 has the factors of 2 and 4 but 8 is not a factor of 12.

The statement is false. If a number has 2 and 4 as factors, it doesn't mean that it has 8 as a factor.

The fact that a number has 2 and 4 as factors, doesn't mean that the number will have 8 as a factor. For example, 4 and 12 have both 2 and 4 as factors but don't have 8 as a factor

Factors of 4 = 1, 2 and 4.Factors of 12 = 1, 2, 3, 4, 6 and 12.

Therefore, the fact that a number has 2 and 4 as factors doesn't mean that it has 8 as a factor.

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https://brainly.com/question/18729591

multiple (7s^5)(-1/5s^3​

Answers

Answer:

Is that a real equation?

Step-by-step explanation:

I need the correct answer please!!!​

Answers

Answer: 2² * 3=12 1,2,3,4,6,12.

A.

Step-by-step explanation: One such number should have 1,2,4,8,16,32 as factors. So 32 is one such number. Swapping 16 with 3,we have 2² * 3=12 1,2,3,4,6,12.

Answer:

IM JUST ANSWERING SO YOU CAN GIVE THE OTHER GUY BRAINLIEST :) UR WELCOME

oof caps

Step-by-step explanation:

Help ASAP plsssssssssssssssssssssss

Answers

Answer:

2/6

Step-by-step explanation:

There are 2 out of 3 on one half shaded so it is 2/6

can you please help​

Answers

Answer: D) Angle 6 and angle 16

==================================================

Explanation:

We have four lines that form 4 intersection points. Let's label these points A,B,C, and D. Check out the diagram below.

We can say that angle 1 is a corresponding angle to angle 9 because

a) The two angles are in the same position of their four corner configuration (both are in the north of each four corner configuration)b) the angles mentioned are at points that are adjacent to one another. Point A is adjacent to point D

Similarly, angles 4 and 12 are corresponding as well. They are both in the east quadrant and point A is adjacent to point B. A similar thing happens with angles 5 and 7.

In contrast, angles 6 and 16 are not corresponding angles. Yes they are both in the south quadrants of their four corner configuration, but point A is not adjacent to point C. Angle 6 corresponds to only angle 14 and angle 8, but not angle 16.

Last minute Help me out please and thank you

Answers

Answer:

10-132-×/÷647 answer hai bro

4 and 2 5ths + 2 and 2 3irds =

Answers

Answer:

The answer is 7.0666

Step-by-step explanation:

Find X (Show Your Work)
WILL MARK BRAINLIEST!

Answers

Answer:

its 8 cause 2 times x is 40 40+-40= 0 so 2 times 4 is 8

Step-by-step explanation:

Translate the sentence into an equation.

Seven less than the product of 2 and a number equals 3.
Use the variable b for the unknown number.

Answers

Answer:

2b - 7 = 3

Step-by-step explanation:

2b - 7 = 3

factorise al+am+bl+bm​

Answers

Step-by-step explanation:

bring the common ones together

al +bl +am +bm

l(a+b) +m(a+b)

(l+m) (a+b)

A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets costs $1.50 and the volunteer has $75 to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality.

Answers

Answer:

$7.35

Step-by-step explanation:

Let cost of blanket be $x

10x + 1.50 ≤ 75

10x ≤ 73.50

x ≤ 7.35

therefore, maximum amount for each blanket is $7.35

Natalia solved the problem
74
.
4
÷
12
=
6
.
2
. Complete the model with partial products to check Natalia's work using multiplication.

A large rectangle is broken into 4 smaller rectangles The top line is labeled 6 and 0.2. The left side is labeled 10 and 2. The rectangles are divided between those labels. The top left rectangle is labeled A. The top right rectangle is labeled B. The bottom left rectangle is labeled C. The bottom right rectangle is labeled D.

Part A
Drag values to the boxes to complete the partial products. Not all choices will be used.

0.4 1.2 2 4 6 12 20 60


The product for A =
.

The product for B =
.

The product for C =
.

The product for D =
.

Part B
Choose the words to complete the statement.

Natalia's work is
correct
, because the total of the partial products is
Choose...
as the dividend.

Answers

Answer:

The product for A = 60

The product for B = 2  

The product for C = 12

 

The product for D=0.4

Choose......correct, Choose.....the same

Step-by-step explanation:

I had the same question on a test and this is the correct answers. Hope this helped!

Can anybody help me on this plz I’ll make u the brainlyist if u help

Answers

Answer:

y=mx+b

y=2/3+12.65

PLZZ ANSWER FAST!!
Rewrite with a positive exponent.

x−4

Answers

Answer: [tex]\frac{1}{x^{4} }[/tex]

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