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oee [108]
3 years ago
8

Please help it's the SLOPE

Mathematics
1 answer:
Maksim231197 [3]3 years ago
3 0

Answer:

-  \frac{4}{5}

Step-by-step explanation:

Please see the attached picture.

slope \\  =  \frac{1 - ( - 3)}{ - 3 - 2}  \\  =  \frac{1 + 3}{ - 5}  \\  =  -  \frac{4}{5}

☆In the gradient formula,

(x1, y1) is the first coordinate and (x2, y2) is the second coordinate.

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The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There
KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5

We have to find the value of x such that the probability is 0.05

P(X > x)  = 0.05

P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05  

= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05  

=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83  

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0
3 years ago
I NEED HELP pLS What is the value of x? (only number values) *
Licemer1 [7]

Answer:

x=-1

Step-by-step explanation:

By adding the bottom lines you can get

2x+11 = x+10

Simplifying this gets you

x=-1

4 0
4 years ago
What is 1/2 a a decimal
Lena [83]

Answer:

0.5

Step-by-step explanation:

just divide 1 by half

5 0
3 years ago
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How do i multiply fractions with whole numbers (e.g. 20 2/6 x 6 3/6)?
Kipish [7]

Answer:

Step-by-step explanation:

you change it to an improper fraction for example 20 2/6x6 3/6

you gotta multiply the 6 in the 20 2/6 by 20 then add the 2 so it would be 122/6 do the same for the other and then you have 39/6 then multiply 122/6x39/6

8 0
3 years ago
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