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castortr0y [4]
3 years ago
9

Last​ year, a person wrote 126 checks. Let the random variable x represent the number of checks he wrote in one​ day, and assume

that it has a Poisson distribution. What is the mean number of checks written per​ day? What is the standard​ deviation? What is the​ variance?
Mathematics
1 answer:
Arisa [49]3 years ago
6 0

Answer:  The mean number of checks written per​ day  =0.3452

Standard deviation=0.5875

Variance  =0.3452

Step-by-step explanation:

Given : The total number of checks wrote by person in a year = 126

Assume that the year is not a leap year.

Then  1 year = 365 days

Let the random variable x represent the number of checks he wrote in one​ day.

Then , the mean number of checks wrote by person each days id=s given by :-

\lambda=\dfrac{126}{365}\approx0.3452

Since , the distribution is Poisson distribution , then the variance must equal to the mean value i.e. \sigma^2=\lambda=0.3452

Standard deviation : \sigma=\sqrt{0.3452}=0.5875372328\approx0.5875

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3 0
3 years ago
The scale drawing of a building has a width of 4 inches and a height of 8 inches. If the width of the actual building is 32 feet
kirill115 [55]
Hello!

First you have to find the scale

32 / 4 = 8

To get the actual building you multiply the scale building by 8 and change the units to feet

8 * 8 = 64ft

The answer is 64ft

Hope this helps!
6 0
2 years ago
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.
krok68 [10]

Answer:

option A: x + 1.5y ≤ 20

option C: x + 3y ≤ 36

option D: x ≥ 0

option H: y ≥ 0

Step-by-step explanation:

It says to assume x = the number of packages of pasta and y = the number of jars of pasta sauce.

Since the number of items can not be a negative number, we have x ≥ 0 and y ≥ 0.

Condition: He has $36, and can carry up to 20 pounds of food in his backpack.

Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

If he buys 'x' packs of pasta and 'y' jars of pasta sauce, then:-

Total cost = 1x + 3y ≤ 36 dollars.

and Total weight = 1x + 1.5y ≤ 20 pounds.

Hence, we have four inequalities:-

option A: x + 1.5y ≤ 20

option C: x + 3y ≤ 36

option D: x ≥ 0

option H: y ≥ 0

7 0
3 years ago
Please help!<br><br> Which line would be perpendicular?
givi [52]

Answer:

  • D. -2x + 2y = 1

Step-by-step explanation:

<u>When the line is given in standard form:</u>

  • ax + by = c, it has slope of -a/b

<u>Given line:</u>

  • 4x + 4y = 3

<u>It has a slope:</u>

  • m = -4/4 = -1

A line perpendicular to the given should have a slope m = 1 as negative reciprocal to the given

<u>Let's see which line has the slope of 1:</u>

  • 1. m = -(-1)/6 = 1/6 - NO
  • 2. m = -4/4 = -1 - NO
  • 3. m = -2/4 = -1/2 - NO
  • 4. m = -(-2)/2 = 1 - YES

Correct option is D

8 0
2 years ago
Find the values of m and n<br> Need help, thank you!!!
Wewaii [24]

Answer:

m=45 degrees

n=15 degrees

Step-by-step explanation:

m=45 degrees because other 2 angles in it's triangle =90+45=135 degrees

180 degrees in any triangle so m=180-135=45 degrees.

m+n=60 degrees so n=60-45=15 degrees

6 0
3 years ago
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