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kirill [66]
2 years ago
13

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.9 years, and standard deviation of

0.9 years.
If you randomly purchase one item, what is the probability it will last longer than 9 years?
Mathematics
1 answer:
Darya [45]2 years ago
6 0

If you randomly purchase one item, the probability it will last longer than 9 years is; 11.12%

<h3>How to find the probability from z-score?</h3>

The formula for Z-score is;

z = (x' - µ)/σ

where;

x' = sample mean

µ = population mean

σ = standard deviation

Thus;

z = (9 - 7.9)/0.9

z = 1.22

From online p-value from z-score calculator, we have;

probability = 0.1112 = 11.12%

Read more about Z-score probability at; brainly.com/question/25638875

#SPJ1

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Rainbow [258]
X = 12 subtract then divide both sides
7 0
3 years ago
Find the general form, Ax2+Ay2+Dx+Ey+F=0, by identifying the coefficients A,D,E,&amp;F center:(0,1); r=1 (x-0)2+(y-1)2=1 x2+y2-2
siniylev [52]

Answer:

The value of A is 1, D is 0, E is -2 and F is 0.

Step-by-step explanation:

The given equation is

Ax^2+Ay^2+Dx+Ey+F=0             ...(1)

The standard form of the circle is

(x-h)^2+(y-k)^2=r^2

Where, (h,k) is the center of the circle and r is the radius.

(x-0)^2+(y-1)^2=1

x^2+y^2-2y+1-1=0

x^2+y^2-2y=0

It can be written as

x^2+y^2+0x-2y+0=0                          ....(2)

On comparing (1) and (2) we get.

A=1

D=0

E=-2

F=0

Therefore the value of A is 1, D is 0, E is -2 and F is 0.

6 0
4 years ago
Read 2 more answers
Inside a square with side length 10, two congruent equilateral triangles are drawn such that they share one side and each has on
Sphinxa [80]

Answer:

5 length

Step-by-step explanation:

The diagram attached shows two equilateral triangles ABC & CDE. Since both squares share  one side of the square  BDFH of length 10, then their lengths will be 5 each. To obtain the largest square inscribed inside the original square BDFH, it makes sense to draw two other equilateral triangles AGH & EFG at the upper part of BDFH with length equal to 5.

So, the largest square that can be inscribe in the space outside the two equilateral triangles ABC & CDE and within BDFH is the square ACEG.

4 0
4 years ago
A family buys 6 airline tickets online. The family buys travel insurance that costs ​$17 per ticket. The total cost is ​$1 comma
Sedbober [7]

Answer:

1020 = 6*(x+17)

x = 153

Step-by-step explanation:

1020 = 6*(x+17)

1020 - total

6 - number of tickets

x - one ticket price

17 - insurance

1020 = 6x + 102

1020 - 102 = 6x

918 = 6x

x = 918/6

x = 153

4 0
3 years ago
1. How do I find the slope of (2,4) (4,7)
Goshia [24]

Answer: 3/2

Step-by-step explanation:

Rise over run!!!

Subtract y values, divide that by the subtracted x values.

7-4/4-2= 3/2

4 0
3 years ago
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