A. What is asked?

The lifetimes of 10,000 watch batteries are normally distributed the mean lifetime is 500 days the standard deviation is 60 days

Lelu [443]

Given:
μ = 500 days, the population mean
σ = 60 days, the population standard deviation

Therefore
μ + σ = 560
μ - σ = 440
μ + 2σ = 620
μ - 2σ = 380
μ + 3σ = 680
μ - 3σ = 320

The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
About 95% of the total area lies in x = (μ-2σ, μ+2σ)
About 99.7% of the total area lies in x = (μ-3σ, μ+3σ).

7 0

3 years ago

Please HElppppppppppppp meeeeeeee! I have less than 10 minutes!

attashe74 [19]

Answer:

A) 5 3/10

B) 785 3/20

Step-by-step explanation:

Hope this helps <3

you find a common denominator and then simplify all fractions to that common denominator. then, you add them up!

2 1/5 + 3 1/10

5 can fit into 10 twice so it becomes...

2 2/10 + 3 1/10 which equals

472 2/5 + 312 3/4

5 times 4 is 20

472 8/20 + 312 15/20

there is a remainder of 3 for the fractions so you put it over 20.

8 0

2 years ago

The recycling bin in the shape of a rectangular prism is 15.5 inches long, 8 inches wide and 7 inches high. The recycling bins n

Viktor [21]

Answer:

694 cubic inches

Step-by-step explanation:

Dimension of prism

Length = 15.5 inches

width = 8 inches

height = 7 inches

Volume of regular prism is given by area of base * height

area of base = length * width ( as bin is rectangular)

area of base = 15.5 * 8 square inches = 124 square inches

Volume of regular prism = area of base * height

= 124 * 7 cubic inches = 868 cubic inches

_________________________________________________

868 cubic inches is the full capacity of the recycling bin

it is given that recycling bins need to be emptied when it is 80% full

so we need to find the 80% capacity of recycling bin

80% capacity of recycling bin = 80/100 * full capacity of the recycling bin

= 0.8 * 868 cubic inches = 694.4 cubic inches

694.4 cubic inches is the amount needed before the recycle bin is ready to empty .

But question says answer should in nearest cubic inch

hence answer is 694 cubic inches

3 0

3 years ago

What is the reason for each step in the solution of the inequality?

Citrus2011 [14]

step 1: Given

step 2: Distributive Property

step 3: Combine Like terms

step 4: Subtraction Property of Order

step 5: Addition property of order

step 6: Division property of order

Step-by-step explanation:

We are given the inequality: $-38-3(x+5)>6x-17$

We need to match each step with the reasons.

The given steps are:

1.

−38−3(x+5)>6x−17

So, Reason for step 1: Given

2.

−38−3x−15>6x−17

So, Reason for step 2: Distributive Property

3.

−3x−53>6x−17

So, Reason for step 3: Combine Like terms

4.

−9x−53>−17

So, Reason for step 4: Subtraction Property of Order

5.

−9x>36

So, Reason for step 5: Addition property of order

6.

x<−4

So, Reason for step 6: Division property of order

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

7 0

2 years ago

There are 15 questions in this quiz. Im sorry if im putting too much pressure on yall

nika2105 [10]

Answer:

86

Step-by-step explanation:

i dont really kbow why but i think it 86

4 0

2 years ago

Read 2 more answers