A company introduced a much smaller variant of its tablet, known as the tablet junior. Weighing less than 11 ounces, it was about 50% lighter than the standard tablet. Battery tests for the tablet junior showed a mean life of 10.25 hours. Assume that battery life of the tablet junior is uniformly distributed between 7.5 and 13 hours.
(a)
Give a mathematical expression for the probability density function of battery life.
f(y) =

(b)
What is the probability that the battery life for a tablet junior will be 10.5 hours or less? (Round your answer to four decimal places.)
(c)
What is the probability that the battery life for a tablet junior will be at least 11.5 hours? (Round your answer to four decimal places.)
(d)
What is the probability that the battery life for a tablet junior will be between 8.5 and 10.5 hours? (Round your answer to four decimal places.)
(e)
In a shipment of 100 tablet juniors, how many should have a battery life of at least 12 hours? (Round your answer to two decimal places.)
tablet juniors

Answers

Answer 1

Answer:

showed a mean life of 10.25 hours. Assume that battery life of the tablet junior is uniformly distributed between

Step-by-step explanation:


Related Questions

Can someone help me? I’ll reward points + brainalist

Answers

Answer:

Step-by-step explanation:

The given box in both questions are cuboid.

Question 3:

Volume of cuboid = length * width * height

                              = 3 * 3 * 5 = 45 units.

Question 4:

Volume of cuboid = length * width * height

                              = 4 * 2 * 6 = 48 units

Which pair of angles are supplementary? Option 1 O Option 2 O Option 4 Option 3​

Answers

The answer for the following question is Option 3.

I WILL MARK BRAINIEST PLEASE HELP ASAP
used when 40 pieces of
The number of pens used varies directly with the number of pieces of paper needed. If 12 pens are
paper are needed, how many pens will be used when 240 pieces of paper are
needed?

Answers

Answer:

Step-by-step explanation:

12 pens are used when 40 pieces of paper are needed.

240 paper × (12 pens)/(40 paper) = 72 pens

Answer:

It’s 72 pens

Step-by-step explanation:

If that’s not correct put the question a bit better plz

Andy has 3 different sticker books filled with a variety of stickers. Her Grandma gave her 10 more stickers.

Write an expression (does not contain an equal sign) for the above situation.

Answers

Answer:

3x+10>10

Step-by-step explanation:

Answer:

3x+10

Step-by-step explanation:

The x is the sticker books because there could be any amount of stickers in there and the 10 is the new stickers.

3 pound of apples for $4.59.

Answers

Answer:

each apple would be $1.53

Answer:

$1.53 per pound of apple

Step-by-step explanation:

I'm assuming the question is what is the cost of 1 pound

Set up a equation:

3pounds/$4.59 = 1pound/x

Variable x = cost for one pound

3/4.59 = 1/x

Cross mulitply

3 × x = 4.59 × 1

3x = 4.59

Divide both sides by 3

3x ÷ 3 = 4.59 ÷ 3

x = 1.53

Please help me! This is due today!

Answers

Answer:

WX is 8

XY is 5

YZ is 8

ZW is 5

area is 40

Step-by-step explanation:

the image drawn does not connect the 4 listed point- when graphed correctly there are 4 point and they create a rectangle

WX is 8

XY is 5

YZ is 8

ZW is 5

area would be 8*5- 40

A company makes 150 bags.
23 of the bags have buttons but no zips.
35 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Answers

Answer:

66/150

Step-by-step explanation:

So the question asks the probabilty for buttons.

so we see that 23 has buttons so we discard for now,

35 has no buttons but a zip so we acknowledge it

49 has no buttons and no zips so we keep it too.

now we do 35+49 which is 84.

since there is 150 bags and 84 of those bags dont have buttons, the rest must do.

150-84=66

so there are 66 bags with buttons so we put this in a fraction -> 66/150

Tangent (non necessary for the question persay):

since we cant simplify you keep it as 66/150. If you are doing this on mathswatch, then remeber if there is a question like this next and you can simplify, simplify.

for this question it is not necessary.

Mathswatch users only:

Also a trick for mathswatch if you get it wrong, go to task bar, search the task name (it will be below search/taskbar) then type number press enter and you have 2 more turns. You can repeat this how many times you need to.

Thank you for reading, please rate 5star :)

have a good day.

The probability that the bag is selected at random have buttons is 11/25.

What is probability?

Probability is the chance of happning an event among all the events possible. It lies between 0 and 1. It is calculated by dividing number of items by total number of items.

How to calculate probability?

We have been given that company makes 150 bags out of which 23 of the bags have buttons but no zips and we have to calculate the probability that a bag chosen at random have buttons.

35 of the bags have zips but no buttons.49 of the bags have neither zips nor buttons.so we see that 23 has buttons so we discard for now, 35 has no buttons but a zip so we can say that it that 49 has no buttons and no zips so we keep it too.now we do 35+49 which is 84. Because there are  150 bags and 84 of those bags dont have buttons, the rest must do.

150-84=66, we got that there are 66 bags with buttons so we put this in a fraction= 66/150.

Probability=66/150

Hence the probability of getting a bag that has buttons is 66/150.

Learn more about probability at https://brainly.com/question/24756209

#SPJ2

9. Find the value of
the expression.
16 + 4 + (42 - 3) =

Answers

Answer:

59

Step-by-step explanation:

16 + 4 + (42 - 3) = 20 + 39 =59

Answer:

59

Step-by-step explanation:

16 + 4 + (42-3) = 59. Do parentheses first. (42-3) = 39. Which changes the equation to 16 + 4 + (39). 39 + 4 = 43. Then the equation changes to 16 + 43. These added together equal 59. Hope this helps!

PEMDAS= Parentheses, exponents, multiplication, division, addition, and then subtraction.

This is the order in which to solve these types of equations, which is why I did the parentheses first.

Jill traveled to Canada and bought a new lamp for $460 Canadian dollars. In U.S. dollars (to the nearest cent) this is equivalent to $__________. Use the table found on page 78 of your textbook.

Answers

It is 365,78 US$
I hope this answer helps you

find the diameter and of each circle. A) circumference = 118mm B) circumference = 1m

Answers

Okay so the formula for circumference is

C=(pi)(D)
or
C=(pi)(2)(r)

But since they gave us the diameter we are gonna have to use the first formula.

Now I don’t know if they want u to use 3.14 for pi or the actual number, so i’m gonna assume we are using the actual formula.

So the formula to be able to find the diameter of circle A is going to be:
118/pi.
So put that into your calculator and you get 37.5605mm or 37.56mm.
It depends on what place your instructor wants you to round to.

The formula for circle B is going to be:
1/pi.
So let us put that into our calculator and you get 0.318309mm etc. Or just 0.3183.

I believe that I am correct but if i’m not please correct me.

An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The mean lifetime of a random sample of 2000 new bulbs is found to have a mean lifetime of 1201 hours. Although the difference from the old mean lifetime of 1200 hours is quite small, the P-value is 0.03 and the effect is statistically significant at the 0.05 level. If, in fact, there is no difference between the mean lifetimes of the new and old designs, the researcher has:________

a. committed a type 1 error
b. committed a type 2 error
c. a probability of being correct, which is equal to the P-value
d. a probability of being correct, which is equal to 1-(P-value)

Answers

Answer:

a. committed a type 1 error

Step-by-step explanation:

The correct option is - a. committed a type 1 error

Reason -

Type 1 error occurs  when a true null Hypothesis is rejected

Type 2 error occurs when a false null Hypothesis is accepted

Now,

Let us state that,

The null hypothesis and alternate hypothesis is

H0 : There is no difference between the mean lifetimes of the new and old designs

H1 : There is a difference between the mean lifetimes of the new and old designs

Now,

As there is no difference between the mean lifetimes of the new and old designs.

⇒ The null hypothesis is true.

But p value suggests that null hypothesis should be rejected

We have committed a Type 1 error that is rejecting a true null hypothesis.

So,

The correct option is - a. committed a type 1 error

URGENT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ASAP

Answers

Answer:

I think its D). but im not pretty sure.

Step-by-step explanation:

based on the formula given:

area: 8 x 8: 64cm²

1/3 x (64) x 9 : 192cm³

Can a triangle be formed with the side lengths of 9 cm, 4 cm, and 13 cm?

Answers

Answer:

Yes it can it would be a scalene triangle! :D

Step-by-step explanation:

Help please !!!!!!!! asapppppp

Answers

Answer:

B

Step-by-step explanation:

1.sea surface to deck of sunken ship =24.7=29.5-4.8

2.zhip deck to ship deck =1.5 +24.7=26.2m

In AGE and OLD, GAE - LOD, and AE = OD. To prove that AGE and OLD are congruent by SAS, what other information is needed?​

Answers

You would need an included angle.

Solve the system of equations by using substitution or elimination. Show work to support your answer by typing in the box or using Scratchpad.
y = x + 2
y = 2x + 3

Answers

Jaksndhsjskdjdbdndndjdjdjxjxj

If you go out to eat, a good tip is $18 when the bill costs $100. What is this percent?

Answers

Answer:

This is a good tip and $18 is 18% of what the meal cost.

Step-by-step explanation:

On average the proper tip is 15% of the cost of your meal cost. In this case you have paid 18% of your meal cost.

Answer:

I think0.18

Step-by-step explanation:

Miguel is driving his motorboat across a river. The speed of the boat in still water is 13 mi/h. The river flows directly south at 5 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction? (Not drawn to scale)


a. 21 mi/h; 13.9 north of west
b. 13.9 mi/h; 21 south of west
c. 13.9 mi/h; 21 north of west
d. 21 mi/h; 13.9 south of west

Answers

Answer: B

Step-by-step explanation:

13.9 mi/h; 21 south of west

six bags of sunflower seeds cost 7.20 what is the proportionality of the situation

Answers

Answer:

$1.2:1 or $1.2 per bag of sunflower seeds

Step-by-step explanation:

To find the cost of each sunflower bag you would divide the cost by the amount of bags

7.20÷6 which is 1.2

Create and equivalent expression using the distributive property for 5(3s-2)

Answers

If I read your question right, an equivalent expression would be 15s-10 after distributing the 5.

which shape is a parallelogram

Answers

Answer:

the rectangel

Step-by-step explanation:

Answer:

rectangle

A parallelogram means it has alteast 2 pairs of equal sides, and the rectangle has to, 1 at the top and bottom which are the largest, and one the sides there is another one on the left and right which are smaller in size then the other one.  

A company is placing an order for boxed lunches for a meeting of its executive board. There are 10 members of the board and each will have one lunch. The company is getting the lunches from a restaurant that has 25 varieties of boxed lunches.

Required:
a. How many different ways are there for the company to place the lunch order for the 10 lunches?
b. How many ways are there for the company to place the lunch order if the 10 lunches purchased are all different?

Answers

Answer:

a) There are 93,367,432,000,000 ways to place the lunch order.

b) There are 11,861,676,000,000 ways for the company to place the lunch order if the 10 lunches purchased are all different.

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

a. How many different ways are there for the company to place the lunch order for the 10 lunches?

For each of the 10 lunches, there are 25 options. So

[tex]25^10 = 93,367,432,000,000[/tex]

There are 93,367,432,000,000 ways to place the lunch order.

b. How many ways are there for the company to place the lunch order if the 10 lunches purchased are all different?

The order is important, which means that the permutations formula is used to solve this question. So

[tex]P_{(25,10)} = \frac{25!}{(25-10)!} = 11,861,676,000,000[/tex]

There are 11,861,676,000,000 ways for the company to place the lunch order if the 10 lunches purchased are all different.

please help!!!
Find the lateral surface area of a cylinder with a diameter of 21 inches and a height of 15 inches.

Answers

Answer:

989.6inches^2

Step-by-step explanation:

A) Radius = You half the diameter so... 21/2

Radius = 10.5

Height = 15

A = 2 x pi x d/2 x h

B) 2 x pi x 21/2 x 15

A = 989.6inches^2

IF YOUR GOOD AT MATH PRESS ON THIS I NEED U BADLY

Answers

Answer:

3.50x+6.00 and 2(1.75+3.00)

Step-by-step explanation:

Can someone answer these 3? I’ll reward double points + brainalist

Answers

8. x =108 degree
9. x =14 degree
10. Area = 283.385cm2

3. An athlete jumped 7.7 feet, which was 2.3 feet
higher than the previous jumper. How high did
the previous athlete jump.​

Answers

Answer:

5.4 feet

Step-by-step explanation:

Hope this helped!!

Answer:

5.4 feet

Step-by-step explanation:

7.7-2.3=5.4 feet

Which of these statements are correct about two parallel lines in a coordinate plane? Select three that apply.

Answers

Answer:

Step-by-step explanation:

Help with both plz I’ll mark brainliest

Answers

Answer:

(1,6) is not a solution and I think the second one is: c I think

Step-by-step explanation:

Find the Area of the Shaded Region. Round to the nearest tenth if necessary.
tra 一
20 cm
16 cm

Answers

Answer:

420.53

Step-by-step explanation:

Split the half circle and rectangle, find the area : 320, then the semi circle: 100.53. add and your answer will be: 420.53

WILL MAKE BRAINLIEST PLS

what are the slopes of each line?

Answers

Question 3: A

Question 4: D

Question 5: B

Question 6: D

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