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3 years ago

The quality control manager at a battery factory picks three batteries at random each day from the production line.

Mathematics

1 answer:

azamat3 years ago

6 0

Answer : 0.001

Step - by - step explanation :

If 90% of the batteries are produced perfectly which equals to . . . 90 / 100. That therefore means that 10 / 100 of the batteries are imperfect.

So it's 0.001 !

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Deposits $10 in an account that earns an interest rate of 5% compounded annually. What is the balance in the account at the end

d1i1m1o1n [39]

Compound Interest is calculated on the initial payment and also on the interest of previous periods.

So after 1 year w/ 5% interest, $10 -> $10*1.05 = $10.5
after 2 year, the total becomes $10.5*1.05 = $11.025

formula to calculate is 10*(1.05)^50 = $114.67

ans is A

8 0

3 years ago

2. To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. a. Would you

ANEK [815]

Answer:

Step-by-step explanation:

Size of the population, N = 4000

Size of the sample, n = 40

n/N = 40/4000 = 0.01

0.01 is less than 0.05 and hence we would not us the finite population correction factor in calculating the standard error of the mean.

Population standard deviation is σ = 8.2

So, the standard error of x’ using the finite population correction factor is give by

σ(x’) = √[(N - n)/(N - 1)] x (sigma/√n)

σ(x’) = √[(4000 - 40)/(4000 - 1)] x (8.2/√40)

σ(x’) = 1.29

Standard error of x’ without using the finite population correction factor is

σ(x’) = σ/√n

σ(x’) = 8.2/√40 = 1.2965

There is little difference between the two values of the standard error. So we can ignore the population correction factor.

Let the population mean be μ

Probability that the sample mean will be within =-2 of the population mean is

P(μ– 2 < x’ < μ + 2)

At x’ = μ – 2 , we have

z = (μ – 2 – μ)/1.2965

z = -1.54

at x’ = μ + 2, we have

z = (μ + 2 – μ)/1.2965

z = 1.54

So the required probability is

P(μ – 2 < x’ < μ + 2) = p(-1.54< z < 1.54)

P(μ – 2 < x’ < μ + 2) = p(z < 1.54) – p(z < -1.54)

P(μ – 2 < x’ < μ + 2) = 0.9382 – 0.0618

P(μ – 2 < x’ < μ + 2) = 0.8764

7 0

3 years ago

Paul is making loaves of raisin bread to sell at a fundraising event. The recipe calls for 1\3 cup of raisins for each loaf, and

azamat

39 divided by 4 equals 9 batches with 3/12 raisins left over

3 0

3 years ago

A minor league baseball team plays 128 games a seanson. If the tam won 16 more than three times as many games as they lost how m

tiny-mole [99]

Answer: The team won 100 games and losses 28 games

Step-by-step explanation:

Let the number of games won denoted by x and the games lost is denoted by y .

Given : A minor league baseball team plays 128 games in a season.

Team won 16 more than three times as many games as they lost.

Then, the system of equations, we have

$x+y=128-------(1)\\\\x=3y+16------------(2)$

We can rewrite equation (2) as $x-3y=16----------------(3)$

Now, Eliminate equation (3) from (1), we get

$y-(-3y)=128-16\\\\\Rightarrow\ 4y=112\\\\\Rightarrow\ y=\dfrac{112}{4}=28$

Substitute the value of y in (2), we get

$x=3(28)+16=84+16=100$

Hence, the team won 100 games and losses 28 games.

7 0

3 years ago

What is the missing constant term in the perfect square that starts with x^2+2x

DENIUS [597]

Answer:

Step-by-step explanation:

The constant term in a perfect square trinomial with leading coefficient 1 is the square of half the coefficient of the linear term.

(2/2)² = 1

The missing constant term is 1.

3 0

3 years ago

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