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Brrunno [24]
3 years ago
12

Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height of a coffee table and

there are 4 legs on each table. He writes the expression 4(2x) + 4(x) to model his building plans. What does 4(x) represent?
Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0
In the expression 4(x), 4 represents the number of legs, and x represents the height of the coffee table.

Altogether this expression shows the total length of all legs from the coffee table and kitchen table combined.
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On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre
Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}

P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}

P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

3 0
3 years ago
Matt started doing extra chores around the house and his allowance changed from $30 per week to $40 per week. What is the percen
slega [8]

Answer:

33.3%

Step-by-step explanation:

Let's say the percent change is x%. Then the equation is:

30 + x% * 30 = 40

Subtract 30 from both sides:

x% * 30 = 10

Divide by 30:

x% = 10/30 = 1/3

Remember that % simply means "out of 100", so:

x/100 = 1/3

Multiply both sides by 100:

x = (1/3) * 100 = 33.3%

3 0
3 years ago
Read 2 more answers
N+5n-3c PLS anyone I need this for my test And I need it right now pls
iVinArrow [24]

<em><u>Answer:</u></em>

I'm assuming this is a <em>combining like terms</em> question, in which case the answer would be 6n - 3c.

<u><em>Step-by-step explanation:</em></u>

I'm guessing your teacher wants you to combine the like terms, and 1n plus 5n = 6n, minus 3c is the answer, which is 6n - 3c. If your teacher wanted you to solve for each variable, you can't do that because you don't have enough information, and there's an infinite number of solutions.

<em>Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your test. :)</em>

7 0
2 years ago
The difference of two numbers is 15. Five times the smaller is the same as 9 less than twice the larger. Find the numbers
Usimov [2.4K]

Answer:

x= -13

y= -28

Step-by-step explanation:

To find the two numbers, write a system of equations with x as one number and y as another:

x-y=15

5x=2y-9

Use substitution to substitute one equation into another. Then solve for the variable.

x=15+y into 5x=2y-9

becomes

5(15+y) = 2y-9

75+5y = 2y- 9

75+3y= -9

3y = -84

y= -28

To find x, substitute y= -28 into one equation.

x - (-28) = 15

x+28 =15

x = 15-28

x=-13




6 0
3 years ago
99 POINTS! If the area of the figure is 16 square centimeters, what is the height of the triangle?
erastovalidia [21]

Answer:

The height of the triangle is 3.2 cm.

Step-by-step explanation:

The area of the triangle = 16 cm^2

Base of the triangle = 10 cm

Height of the triangle = h cm

Area of the triangle = \frac{1}{2}\times Base\times height

16 cm^2=\frac{1}{2}\times 10 cm \times h

h = 3.2 cm

The height of the triangle is 3.2 cm.

8 0
3 years ago
Read 2 more answers
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