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3 years ago

The set of life spans of an appliance is normally distributed with a mean

Mathematics

2 answers:

qaws [65]3 years ago

8 0

Answer:

24 months

Step-by-step explanation:

HACTEHA [7]3 years ago

5 0

Answer:

24 months

Step-by-step explanation:

Lifespan with z-score of -3 in the the set of normally distributed life spans of an appliance can be calculated using the equation:

$z=\frac{X-M}{s}$ where

X is the lifespan we are looking for

M is the mean life span of the appliance (48 months)

s is the standard deviation of the distribution of the life spans (8 months)

We have $-3=\frac{X-48}{8}$ that is

-24=X-48 and

X=24 months.

The life span of an appliance that has a z-score of -3 is 24 months.

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The amount of profit, p, you earn by selling knives,k, can be determined by:p=200k-500. A) determine the constraints on profit a

Marizza181 [45]

The only restraints on profit result from the restriction on the domain which in turn place a restriction on profit.

0≤k. Knives sold cannot be negative.

So the range of profit or p is:

p=[-500, +oo)

Profit increases as the number of knives sold increases. $200 more profit is gained by each sale of a knife.

4000=200k-500

4500=200k

k=22.5

Since k is for knives sold, it must be an integer value, so a $4000 profit is not possible. At 22, p=3900 and at 23, p=4100

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4 years ago

29.88÷0.36=? I don't know and I need help :(

Gwar [14]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

In ΔRST, r = 53 inches, ∠S=6° and ∠T=58°. Find the length of s, to the nearest inch.

yaroslaw [1]

Answer:

s = 6 inches

Step-by-step explanation:

Given:

r = 53 inches,

∠S = 6°

∠T = 58°.

Required:

Length of s

Solution:

Use Sine Rule

Thus:

$\frac{s}{Sin(S)} = \frac{r}{Sin(R)}$

<R = 180 - (58 + 6)

<R = 116°

r = 53 inches,

∠S = 6°

s = ?

Plug in the values

$\frac{s}{Sin(6)} = \frac{53}{Sin(116)}$

Multiply both sides by Sin(6)

$\frac{s}{Sin(6)} \times Sin(6) = \frac{53}{Sin(116)} \times Sin(6)$

$s = \frac{53 \times Sin(6)}{Sin(116)}$

$s = 6 inches$ (nearest inch)

7 0

3 years ago

t a gas station, 15 gallons of gas has a price of $17.55 and 18 gallons of gas has a price of $21.06. Write a direct variation e

yaroslaw [1]

Use constant of variation y =kx i.e
15 gallons k=>17.55
k gallons =17.55/15=1.17

18 gallons k=>21.06
k gallons =21.06/18=1.17

Therefore ans => y=1.17x

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3 years ago

Read 2 more answers

68. Solve: 46x - 10) = 8x + 40<br>A 0<br>B.5/2<br>ina<br>c. 23<br>D. 5

Artist 52 [7]

Solve: 4(6x - 10) = 8x + 40

A 0

B.5/2

c. 23

D. 5

<h3><u>Answer:</u></h3>

Option D

The solution to given equation is x = 5

<h3><u>Solution:</u></h3>

Given that we have to solve the given equation

4(6x - 10) = 8x + 40

Let us solve the above expression and find value of "x"

Multiplying 4 with terms inside bracket in L.H.S we get,

24x - 40 = 8x + 40

Move the variables to one side and constant terms to other side

24x - 8x = 40 + 40

Combine the like terms,

16x = 80

$x = \frac{80}{16} = 5$

Thus solution to given equation is x = 5

3 0

4 years ago