Find the slope given the 2 points: (6, 1) & (12, 11)

The daily sales at a convenience store produce a normal distribution with a mean of $1,250 and a standard deviation of $125. The

timama [110]

Answer:

0.6844 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $1,250

Standard Deviation, σ = $125

We are given that the distribution of daily sales is a bell like shaped distribution that is a normal distribution.

Formula:

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

We have to find

P(sales less than $1,310)

$P( x < 1310) = P( z < \displaystyle\frac{1310 - 1250}{125}) = P(z < 0.48)$

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

$P(x < 1310) =0.6844= 68.44\%$

0.6844 is the probability that sales on a given day at this store are less than $1,310.

4 0

2 years ago

Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The

ExtremeBDS [4]

Answer:

800 kph
600 kph

Step-by-step explanation:

Equation

Let s represent the speed of the faster plane. Then its travel time is ...

time = distance/speed = 3600/s

travel time for the slower plane is ...

time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

3600/(s -200) -3600/s = 1.5

Solution

Multiplying by (2/3)s(s -200), we get ...

2400(s) -2400(s -200) = s(s -200)

s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

(s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

Conclusion

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

Check

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

6 0

2 years ago

A veterinarian divided 4/5 of a bottle of medicine equally among 4 sick cats. How much did she give each sick cat?

boyakko [2]

I think it’s 1/5 or 3 1/5

4 0

2 years ago

-2x+18-1x+4=34 Show your work

Ede4ka [16]

Answer:

x=-4

Step-by-step explanation:

-2x+18-1x+4=34

step 1 combine like terms

-2x+-1x=-3x

18+4=22

-3x+22=34

step 2 subtract each side by 22

-3x=12

step 3 divide each side by -3

x=-4

hope this helps (:

4 0

2 years ago

Read 2 more answers

Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.

Olin [163]

Answer:

WORDS: The value of x is 15.

EQUATION: x = 15

Step-by-step explanation:

1. AB is a straight line therefore angles AOF, FOG, and GOB total 180º

2. If ∠FOG = 90º, AOF + GOB = 90º by subtraction & substitution property

3. 5x - 15 + 2x = 90 (now solve) --> by substitution

4. 7x - 15 = 90 --> by C.L.T. or Combine Like Terms

5. 7x = 105 --> by C.L.T. or Combine Like Terms

6. x = 15 --> by inverse operations (division)

Hope this helps!

8 0

3 years ago