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The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is 400 days, with a standard d

Licemer1 [7]

Complete question :

The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is 400 days, with a standard deviation of 50 days. For a sample of 6000 new batteries, determine how many batteries will last: 360 and 460 days

Answer:

0.67307

Step-by-step explanation:

Given that :

Mean, m = 400

Standard deviation, s = 50

Sample size, n = 6000

Obtain the standardized score :

Zscore =(x - m) / s

For X = 360

P(x < 360)

Zscore =(360 - 400) / 50

Zscore = - 40 / 50

Zscore = - 0.8

P(Z < - 0.8) = 0.21186

For X = 460

P(x < 460)

Zscore =(460 - 400) / 50

Zscore = 60 / 50

Zscore = 1.2

P(Z < 1.2) = 0.88493

P(Z < 1.2) - P(Z < - 0.8)

0.88493 - 0.21186

= 0.67307

5 0

3 years ago

What is the image point of (-6,9)(−6,9) after a translation left 4 units and down 1 unit?

SIZIF [17.4K]

Answer:

(- 10, 8 )

Step-by-step explanation:

A translation of 4 left means subtract 4 from the x- coordinate

A translation of 1 down means subtract 1 from the y- coordinate

(- 6, 9 ) → (- 6 - 4, 9 - 1 ) → (- 10, 8 )

8 0

3 years ago

Plz help if possible can you show how you got the answer :)

Troyanec [42]

Answer:

4t(t+3), 5k²(2k-3), 4x²(2x-5), t=0 and t=1/3, y=0 and y=-2, n=0 and n=-7/4

Step-by-step explanation:

To factor these, we can factor out a constant and/or variable. For number 12, these terms have 4t in common (you can divide any term in the expression by 4t and have no remainder), so we can pull that out. This makes 4t(t+3) because if you distributed, you would end up with the same answer. The answer for 12 is 4t(t+3).

For 13, we do the same thing, except with 5k². When we pull this out of the equation, we end up with 5k²(2k-3), which is the factored expression.

For 14, we can take out 4x². This becomes 4x²(2x-5), the factored expression.

For 15, we actually have to solve, so we can take out a t. This is t(3t-1)=0. We can set both terms (one outside the parentheses and the other one inside the parentheses) equal to zero to solve. t=0, 3t-1=0. To solve the second equation for t, you use inverse operations and end up with t=1/3. The answers are 0 and 1/3.

For 16, we have to solve as well, so take out a 5y. 5y(y+2)=0. Solve for y again. 5y=0, y+2=0. y=0, y=-2 are the answers.

For 17, take out a 3n. 3n(7+4n)=0. Solve for n. 3n=0, 7+4n=0. n=0, n=-7/4 are the answers.

3 0

3 years ago

WILL GIVE BRAINLIEST!!!!!!!!!!!!!

Phantasy [73]

Writing the domain in words: negative infinity to three halves and three halves to infinity

So, Option A is correct.

Step-by-step explanation:

We need to find domain of the function: $f(x)=\frac{x-5}{2x-3}$

<u>Domain:</u>

The domain of function is defined as all the input values for which the function is defined.

In other words we can say that any value of x that makes the denominator zero is not considered as domain of function.

In the function given: $f(x)=\frac{x-5}{2x-3}$

if x= 3/2 then the denominator will be zero and the function will not be defined.

So, value of x should be x>3/2 or x<3/2

We can write domain as: (-∞,3/2)(3/2,∞)

3/2 can be written as three halves.

Writing the domain in words: negative infinity to three halves and three halves to infinity

So, Option A is correct.

Keywords: Domain of Function

Learn more about Domain of function at:

#learnwithBrainly

4 0

3 years ago

No files or links please!<br> graph y= -4/3 x+2 using the slope and y-intercept

ValentinkaMS [17]

Answer:

heres a graph

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Please help , Take your time , ​

Please help , Take your time ,