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ANEK [815]
2 years ago
8

. A manager has just received the expense checks for six of her employees. She randomly distributes the checks to the six employ

ees. What is the probability that exactly five of them will receive the correct checks (checks with the correct names)?
Mathematics
1 answer:
Tcecarenko [31]2 years ago
3 0

Answer:

13,8%

Step-by-step explanation:

There are six employees and six cheks, so there are 36 (6x6) possible combinations so if we need to measure the probability that five of them receive the exact check  is only one for each one of them over the 36 possibilities, so 1/36 for one plus 1/36 the second and so on.  5/36 = 13,8%.

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Andrew has a fish tank in the shape of a rectangular prism, and he needs to know the volume of water necessary to fill the tank.
Alex

Answer:

The correct option is D.

Step-by-step explanation:

Domain is the set of all posible

The volume of a rectangular prism is

V=\text{Base area}\times height

where,

\text{Base area}=length\times width

Dimensions can not be negative. So, the width and volume are always positive.

From the graph it is noticed that

In interval (-\infty, -5), width and volume is negative, so (-\infty, -5) interval is not the domain.

In interval (-5,0), width is negative, so (-5,0) interval is not the domain.

In interval (0,3), volume is negative, so (0,3) interval is not the domain.

In interval (3,\infty), width and volume is negative, so (3,\infty) interval is not the domain.

Therefore the correct option is D.

3 0
2 years ago
Read 2 more answers
A one story home has a total square footage of 1,200. If 900sq ft of the home has a basement, and 300 sq ft has a slab foundatio
anastassius [24]

Answer:

it has 1200

Step-by-step explanation:

because 900+300=1200

8 0
1 year ago
Read 2 more answers
A dairy sells $3 and $5 ice creams. In one day they sell 50 ice creams earning a total of $180. How many of each type of ice cre
murzikaleks [220]
We are going to make simultaneous equations.
x will be our $3 ice cream and y will be our $5 ice cream

Equation1 ----            x + y = 50   (the sum of all the ice creams they sell)
Equation 2 ----          3x + 5y = 180  Sum of all the $3 and $5 ice creams is $180
Since we can't solve for both variables we will put one of the variables in terms of the other.
Take x+y=50 and subtract y from both sides.  (I could have done subtracted x - it did not matter).       Now we have x= ₋ y +50  (negative y +50)
Now I am going to take equation 2 and replace the x with -y +50

3 (-y +50) + 5y = 180   
Now I will use the distributive law on the 3 and what's in the parentheses:
-3y + 150 + 5y = 180
Now I will combine like terms (the -3y and the 5y)
2y + 150 = 180
Now subtract 150 from both sides of the equation
2y = 30
Divide both sides by 2
and get y= 15 They sold 15 ice creams that cost $5 each
Since equation 1  is  x+y=50 we can replace y with 15
x + 15 = 50    Now subtract 15 from both sides  x = 35
Since x represents the $3 ice creams, they sold 35 of those.
Check:
35 X 3 = $105
15 x 5  = +  <u>75
</u>               $180  

8 0
2 years ago
Assume 6 in every 2000 students at the local community college have to quit due to serious health issues. An insurance company o
Alexus [3.1K]
Given:

6 out of 2000 students quit community college due to serious health issues.
$10,000 insurance company offer
$60 per year

Based on the data, there are 6 students who will be given the $10,000 insurance per year. So they need

6 * 10,000 = $60,000 to make a break-even on their insurance offer

If a student pays $60 per year, they should have

$60,000 / $60 = 1,000 students who will pay per year to reach the break-even mark of their investment. If the number of students will exceed 1,000, the company will begin to earn. 
7 0
2 years ago
James has a desk job and would like to become more fit, so he purchases a tread walker and a standing desk which will allow him
Hitman42 [59]

Answer:

answer is

-0.245 \pm2.160(0.205)

Step-by-step explanation:

After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer.

Slope is -0.245

Sample size  n = 15

Standard error is 0.205

Confidence level 95

Sognificance level is (100 - 95)% = 0.05

Degree of freedom is n -2 = 15 -2 = 13

Critical Value =2.16 = [using excel = TINV (0.05, 13)]

Marginal Error = Critical Value * standard error

= 2.16 * 0.205

= 0.4428

-0.245 \pm2.160(0.205)

8 0
2 years ago
Read 2 more answers
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