PLEASE HELP!!
The batteries from a certain manufacturer have a mean lifetime of 860 hours, with a standard deviation of 70 hours. Assuming that the lifetimes are normally
distributed, complete the following statements.
(a) Approximately of the batteries have lifetimes between 790 hours and
930 hours.
Example
(b) Approximately 95% of the batteries have lifetimes between hours and
hours.

Answers

Answer 1

Answer:

A) 99.74%

B) 633.6 hours and 986.4 hours

Step-by-step explanation:

Solution :

Given that ,

mean =  u =810

standard deviation = sigma  = 90    

P(540< x <1080 ) = P[(540-810) /90 < (x - u   ) /  sigma < (1080-810) /90 )]

= P( -3< Z < 3)

= P(Z <3 ) - P(Z < -3)

Using z table    

=0.9987-0.0013

= 0.9974

answer=99.74%

(B)

middle 95% of score is

P(-z < Z < z) = 0.95

P(Z < z) - P(Z < -z) = 0.95

2 P(Z < z) - 1 = 0.95

2 P(Z < z) = 1 + 0. 95= 1.95

P(Z < z) = 1.95/ 2 = 0.975

P(Z <1.96 ) = 0.975

z  ±1.96    

Using z-score formula  

x= z * sigma  +  u

x= -1.96* 90+810

x= 633.6

Using z-score formula  

x= z * sigma  +  u

x=1.96* 90+810

x= 986.4

633.6 hours and 986.4 hours


Related Questions

Lakshmi donates 20% of her income to charity.
What fraction of her income does Lakshmi donate to charity

Answers

Answer:

1/5

Step-by-step explanation:

Answer:

as given 20%,

so 20% into fraction

20

100

=>1

5 is the answer

An equilateral triangle has on vertex at the origin, another on the x-axis, and the third in the quadrant. find the slope of each side

Answers

Answer:

0, - 1.732 , 1.732

Step-by-step explanation:

The slope of the line is the angle of the tangent from the positive X axis in counter clock wise direction.

The slope of line AB is

tan 180 = 0

The slope of line BC is

tan 300 = - 1.732

The sloe of line AC is

tan 240 = 1.732

Name the two solutions of (2x – 1)^2 = 25.

Answers

Answer:

3 & -2

Step-by-step explanation:

(2x – 1)^2 = 25

2x -1 = ±√25

2x -1 = ± 5

• 2x = 5+1

2x = 6

x = 3

• 2x = -5+1

2x = -4

x = -2

Answer:

Solution given:

(2x – 1)^2 = 25.

square root on both side

[tex]\sqrt{(2x-1)²}=\sqrt{25}[/tex]

2x-1=±5

Taking positive

2x-1=+5

2x=+5+1

x=6/2=3

Taking negative

2x-1=-5

2x=-5+1

x=-4/2

x=-2

The two Solution is x=-2 and x=3.

The half life of a drug in the bloodstream is 18 hours. What fraction of the original drug dose remains in 36 hours? in 72 hours?

Answers

Answer:

1/4 in 36 hours

1/8 in 72 hours

After 36 hours, 1/4 or 0.25 of the original drug dose remains.After 72 hours, 1/16 or 0.0625 of the original drug dose remains.

To determine the fraction of the original drug dose remaining after a certain time, we can use the concept of half-life. The half-life is the time it takes for half of the drug to decay or be eliminated from the bloodstream.

Given that the half-life of the drug is 18 hours, we can calculate the fraction of the original drug dose remaining after a certain number of hours.

After 18 hours (one half-life), half of the drug remains, which is equal to 1/2 or 0.5 of the original dose.

To find the fraction remaining after 36 hours (two half-lives), we can halve the remaining amount from the previous step:

(1/2) * (1/2) = 1/4 or 0.25

Therefore, after 36 hours, 1/4 or 0.25 of the original drug dose remains.

To find the fraction remaining after 72 hours (four half-lives), we can continue halving the remaining amount:

(1/2) * (1/2) * (1/2) * (1/2) = 1/16 or 0.0625

Therefore, after 72 hours, 1/16 or 0.0625 of the original drug dose remains.

In summary:

After 36 hours, 1/4 or 0.25 of the original drug dose remains.

After 72 hours, 1/16 or 0.0625 of the original drug dose remains.

To know more about fraction here

https://brainly.com/question/30154928

#SPJ2

Solve similar triangles (advanced)
Solve for X
X=?

Answers

Step-by-step explanation:

if x is from B to D then it's 12-2= 10

x= 10

find the vertex of y= x^2 + 6x-55

Answers

Answer: ( − 3 , − 64 )

Step-by-step explanation:

knowledge!

If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of the
new function?
• Shift 1 unit left
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
O A. g(x) = -3(x + 1)2
B. g(x) = -3x2 - 1
C. g(x) = (-3x + 1)2
D. 9(x) = -3(x - 1)

Answers

Answer:

C. g(x) + (-3x + 1)2

Step-by-step explanation:

did the test for it

How many terms are there in this expression? 3a + b - 4c
——-
3
6
5

Answers

There's 3 terms

3a-----1

+b -----2

-4c------3

ASAP A student population in a school was 972. Next year they are projected to have a 25% increase in student population. How many students will they have next year?

Answers

Answer:

3888

Step-by-step explanation:

Answer:

25% of 972= 243

243+972=1215 students

4x-3+2x-7+5x-1=58

What is x?

Answers

Answer:

69/11

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x−3+2x−7+5x−1=58

4x+−3+2x+−7+5x+−1=58

(4x+2x+5x)+(−3+−7+−1)=58(Combine Like Terms)

11x+−11=58

11x−11=58

Step 2: Add 11 to both sides.

11x−11+11=58+11

11x=69

Step 3: Divide both sides by 11.

11x /11  = 69/11

Answer:

x = 69/11

Step-by-step explanation:

4x - 3 + 2x - 7 + 5x - 1 = 58 collect like terms ↓

11x - 3 - 7 - 1 = 58

11x - 11 = 58 move the constant to the right-hand side and change its sign ↓

11x = 58 + 11 add the numbers ↓

11x = 69 then divide both sides of the equation by 11 ↓

x = 69/11 ;)

please do both of them THANK YOU

Answers

Answer:

4(3+x)

4x+12

Step-by-step explanation:

Hi there! I am Mizuki, and I'm just answering lol

Anyways, the answer for the first problem is 12 + 4x = 44

The answer for the second problem is 8

Work:

12 + 4x = 44

4x = 32

x = 8

Find the next term of the sequence 2, 8, 32, ...

Answers

the next term of sequence is 128

A car travels 374 miles in five hours and 30 minutes. how many miles does it travel per hour?

Answers

Answer:

the answer is 68 miles

Step-by-step explanation:

you would change 5 hours and 30 minutes to 330 minutes and then you would do 374/330 and 330/330 that would be 1.13333333333 and 1 next you would do 1.13333333333 times 60 and 1 times 60 and it would equal to 68 miles in 60 minutes or 1 hour

HELP ME FAST PLESSE!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Read below

Step-by-step explanation:

They want green

out of all spinner results 3 of them were green

it was spun 40 times total

3/40=0,075 to the nearest hundred is 0,08

3/41=0,0731 to the nearest hundred is 0,07

I'm not sure but it is probably one of these answers

Can you find the midpoint of AB​

Answers

Use the distance formula for the 2 points and then halve the answer
Use the distance formula for the two points!

Similar Triangles

You are visiting the Unisphere at Flushing Meadow Park in New York. To estimate the height of the stainless steel model of Earth, you place a mirror on the ground and stand where you can see the top of the model in the mirror. The Unisphere is 100 feet from the mirror and you are standing 4 feet from the mirror. If your height is 5.6 feet, what is the estimated height of the Unisphere? The diagram is not drawn to scale.

a. 140 feet
b. 22.4 feet
c. 2,240 feet
d. 71 feet

Please select the best answer from the choices provided

Answers

Answer:

A. 140 feet

Step-by-step explanation:

I calculated it logically

choose the correct set up to solve for x

Answers

Answer:

I think c

but I am not sure

Find the equation of the line that
is perpendicular to y = -2x + 1
and contains the point (8, 2).
[?]
y =
x+ [

Answers

Answer:

y=[tex]\frac{1}{2}x-2[/tex]

Step-by-step explanation:

Perpendicular lines have negative reciprocal gradients(slopes) so the slope of your new line would be 1/2. Then you use the point to find the new y-intercept

y=mx+b

2=[tex]\frac{1}{2}[/tex](8)+b

2=4+b

B=-2

y=[tex]\frac{1}{2}x-2[/tex]

What additional information is needed to prove the following triangles congruent by ASA?

Answers

Answer:

angle B = angle C

Step-by-step explanation:

______________

Step-by-step explanation:

hdjsje dhd d sis s. sjxjdns

Lil' HydroPhil owns five pieces of precious apparel and wants to choose two to wear to the awards show. He defines his precious apparel as: platinum nose ring, diamond shirt, titanium boots, suede pants, and beryllium hat. Assuming the selection is random and each has an equally likely outcome, determine the probability HydroPhil chooses a combination that includes the suede pants.

Answers

Answer:

The probability HydroPhil chooses a combination that includes the suede pants is 0.40

Step-by-step explanation:

Given

Let

[tex]P \to Platin um\ no se\ ri ng[/tex]

[tex]D \to Diamond\ shirt[/tex]

[tex]T \to Titanium\ boots[/tex]

[tex]S\to Suede\ pants[/tex]

[tex]B\to Beryllium\ hat[/tex]

Required

Probability of selecting a combination that has S

First, list out all possible combinations (A) of 2

[tex]A = \{PD, PT, PS, PB, DT, DS, DB, TS, TB, SB\}[/tex]

The sample size is:

[tex]n(A) = 10[/tex]

The combinations that has S are:

[tex]S \to \{PS, DS, TS, SB\}[/tex]

The size is:

[tex]n(S) = 4[/tex]

So, the probability that he choose the combination that has S is:

[tex]Pr = \frac{n(S)}{n(A)}[/tex]

[tex]Pr = \frac{4}{10}[/tex]

[tex]Pr = 0.40[/tex]

A) Do the following lengths form a right triangle? Prove it by SHOWING YOUR WORK. 0 6 8 9

Answers

Answer:

friend me on here and imma send you the link Step-by-step explanation:

PLEASE HELPPPPPPPPP MEEE!​

Answers

Let's calculate

4/15×285 + 3/20×320 = 124

124 students are participating in these exercises.

7 students is participating

A random sample of 12 families were asked how many kids they had. The data are given below. According to the US Census, families have on average 2.4 kids per family. What is the p-value for the alternative hypothesis that the average number of kids per family is different than the US Census value

Answers

Answer:

0.308

Step-by-step explanation:

Given the data:

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6

The sample mean and standard deviation :

Sample mean, xbar = (1+1+2+2+2+3+3+3+3+4+4+6) / 12 = 2.833

Sample standard deviation, s = 1.40 ( calculator)

Hypothesis :

H0 : μ = 2.4

H0 : μ ≠ 2.4

The test statistic :

(xbar - μ) ÷ (s/√(n))

(2.833 - 2.40) / (1.40/sqrt(12))

Test statistic = 1.0713

Using the Pvalue from Test score calculator :

df = n - 1 = 12 - 1 = 11

Pvalue(1.071, 11) two - tailed

= 0.3069

= 0.307

PLS HELP WITH THIS IN YHE RIGGHT ORDER I MARK YOU BRAINLIEST

Answers

Use Gauthmath it will have more people online to help you

Find the radian measure of 120 degrees.

Answers

Answer:

The radian :

[tex] \frac{2\pi}{3} [/tex]

3. Jane and Brittany have been saving up for their summer vacation. After how many days will
they have the same amount of money saves?

Answers

They will have the same amount of money saved in 4 days

https://www.amphi.com/cms/lib/AZ01901095/Centricity/Domain/4604/6th%20ELA%20website%20040620.pdf
I HELP FOR THIS ANSWER THIS ANSWERS
THIS FOR GRADE PLEASE HELP

Answers

Answer:

I tried but it said 4 0 4 e r r o r i d k why

Step-by-step explanation:

The sum of the angles of a polygon is 2160. How many sides does the polygon have?

Answers

Answer:

14 sides

Step-by-step explanation:

Sum of the interior angles of a polygon is given by the formula (n-2)180°. So (n-2)180° = 2160°. So the polygon has 14 sides.

what are some ways customers could get in financial trouble with credit cards? write in sentence or paragraph form

Answers

Wasting money on non important things

Answer:

the ways customers could get in financial trouble with thier credit cards are:

The Allure of Excessive Spending Interst Makes Paying Off the Balance Difficult. There's a chance you'll end up in debt.

You run the risk of damaging your credit score.

Minimum payments can give the impression of safety.

Credit Card Terms Can Be Confusing.

It's more difficult to keep track of spending, especially 

when using multiple credit cards.

Step-by-step explanation:

-

What is the value of x in the equation 25x = 16?
O A + 4
5
OB.
+4
oc. + 1
OD
NIH
clos
Reset

Answers

Answer:

C. ±4/5

Step-by-step explanation:

25x² = 16

25x² - 16 = 16 - 16

25x² - 16 = 0

25x² + 20x - 20x - 16 = 0

(25x² + 20x) + (- 20x - 16) = 0

5x(5x + 4) - 4(5x + 4) = 0

(5x - 4)(5x + 4) = 0

5x - 4 =0

5x + 4 = 0

[tex]x=-\frac{4}{5}[/tex]

[tex]x=\frac{4}{5}[/tex]

± is a symbol which represents addition and subtraction.

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