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fomenos
2 years ago
14

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

probability that the sales on a given day at this store are less than $1,310 is:
Mathematics
1 answer:
timama [110]2 years ago
4 0

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.

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A photographer made a 5-inch by 8-inch print of a photo. He then made a 10-inch by 16-inch print of the same photo. Which scale
GREYUIT [131]

Answer:

A.

Step-by-step explanation:

5x8 enlarged to 10x16

10 is 5x2 and 16 is 8x2

7 0
2 years ago
Two cyclists leave city at same time, one going east and the other going west. The westbound cyclist bikes 3 mph faster than the
Bumek [7]

Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.

<u>Solution:</u>

Let us assume that x is speed of slower eastbound cyclist

So, x+3 will be the speed of faster westbound cyclist

We know that distance is the product of speed and time. That is,

\text{Distance}=\text{Speed}\times\text{Time}

West-bound DATA:

Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles

East-bound DATA:

Rate of speed = x mph ; time = 6 hrs. ; distance = 6x miles

On solving,

Distance apart = 162

\Rightarrow6x+18+6x = 162

\Rightarrow12x=162-18

\Rightarrow x=\frac{144}{12}\rightarrow x=12

So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be x+3=12+3=15 \text{ mph}

8 0
2 years ago
3q+4+9=-14 <br> what is Q
BlackZzzverrR [31]

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

\huge{3q+4+9=-14}

We can add 4 and 9 together.

\huge{3q+13=-14}

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

\huge{3q+13-13=-14-13}\\\huge{3q=-27}

We are reaching to the final step where we divide the whole equation by 3.

\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

5 0
3 years ago
The graph shows the cost per day of electricity over a seven-day period.
Darina [25.2K]
A. Negative. You’re welcome
5 0
2 years ago
Read 2 more answers
Which table represents a linear function? y=3,7,11,15 y=3,8,15,21 y=3,9,3,9 y=3,9,27,81?
steposvetlana [31]

The table that represents a linear function is y=3,7,11,15

<h3>How to determine the table?</h3>

For a table to represent a linear function, the table must have a constant rate of change i.e. a common difference

From the list of options, we have:

y=3,7,11,15

The difference between each y value is 4

i.e. 7 - 3 = 11 - 7 = 15 - 11 = 4

Hence, the table that represents a linear function is y=3,7,11,15

Read more about linear functions at:

brainly.com/question/4025726

#SPJ1

6 0
2 years ago
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