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lora16 [44]
2 years ago
15

2. Company A packages roofing nails in boxes that are normally distributed with a mean of 276 nails and a standard deviation of

5.8 nails. Company B packages roofing nails in boxes that are normally distributed with a mean of 252 nails and a standard deviation of 3.4 nails. Which company is more likely to produce a box of 260 roofing nails? Explain your answer using z-scores.
Mathematics
1 answer:
Natali5045456 [20]2 years ago
6 0

Answer:

Company B

Step-by-step explanation:

We would use z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8

let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4

z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897 = -2.76

z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765 = 2.35

Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a z score of 2.35 compared to company A with a z score of -2.76.

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Find the 62nd term of the following sequence:<br> (-21, – 27, - 33, - 39,...)
iris [78.8K]

Answer:

-387

Step-by-step explanation:

First term (T1) = -21 = a

second term (t2) = - 27

common difference (d) = t2 - t1 = - 27 + 21 = - 6

Now

Tn = a + ( n - 1) d

T62 = - 21 + ( 62 - 1 ) - 6

= - 21 -366

= -387

8 0
2 years ago
5) February is a busy time at Charlie's Chocolate Shoppe! During the week before Valentine's Day, Charlie advertises that his ch
Zolol [24]

Answer:

a) C(n) = 450+0.60n where n

b) R(n) = 1.80n where n

c) P(n) = - 450 +1.20n

Step-by-step explanation:

Sale price of chocolates = $1.80 per chocolate

Fixed cost for the Chocolate Shoppe per week = $450

Cost to produce one chocolate = $0.60

Cost to produce n chocolates = $0.60\times n

a) Cost function to represent the total cost for the production of n chocolates :

C(n) = 450+0.60n where n

b) Revenue function to represent the revenue from the sale of n chocolates:

R(n) = 1.80n where n

c) Profit function to represent Charlie's profit from selling n chocolates:

Profit is nothing but revenue minus sales.

P(n) = R(n) - C(n) \\P(n) = 1.80n - 450 -0.60n\\P(n) = - 450 +1.20n

3 0
2 years ago
List two equivalent numbers to 0.50
ad-work [718]
1/2, 4/8. If in decimal form, you can also do 0.5 or 0.500
8 0
2 years ago
HELPP!!!
aalyn [17]

Answer:

The value that will create an equation with no solutions is 5x.

Step-by-step explanation:

No solution would mean that there is no answer to the equation. It is impossible for the equation to be  true no matter what value we assign to the variable.

To create a no solution equation, we can need to create a mathematical statement that is always false.  To do this, we need the variables on both sides of the equation to cancel each other out and have the remaining  values to not be equal.

Use distributive property on the left side first.

3(x - 4) = [blank] - 2x +7\\\\3x-12=5x - 2x +7\\\\3x-12=3x+7\\\\3x-12+12=3x+7+12\\\\3x=3x+19\\\\3x-3x=3x+19-3x\\\\0=19

Notice that we combined like terms first and then eliminated the variable from one side. When that  happened, the variable on the other side was eliminated as well, giving us a false result.

Since zero does not equal nineteen, we know we have an equation with no solution.

3 0
2 years ago
Is 2.346982105 an irracional number?
natima [27]

Answer:

Step-by-step explanation:

Yes. because In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers

3 0
2 years ago
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