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vagabundo [1.1K]
2 years ago
12

A number is written with the following factorization 2x2x2x4x5. Is this factorization is prime factorization? Explain why or why

not. If it is not correct, give the prime factorization of the number.
Mathematics
1 answer:
Ulleksa [173]2 years ago
3 0
The number 2*2*2*4*5 is not in its prime factorization because not all the factors are prime numbers. A prime number is a number that has no other factors except for 1 and itself.
4 is not a prime number, since it can be divided by 2. The number can be broken down into its prime factors by dividing by 2, and it becomes 2*2.

Therefore, the factorization of the number 2*2*2*4*5 can be broken down to 2*2*2*2*2*5.
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A 5 hour conference booking is required for an office party for 120 people which includes a buffet dinner. Hotel 5 has recently
SpyIntel [72]

Answer: I think that the cost now from hotel 5 would be $15.00.

Step-by-step explanation:

  5 hours = $5.00

  10 hours = $10.00

   15 hours = $15.00

   20 hours = $20.00

    25 hours = $25.00

5 0
2 years ago
Drainage tubing comes in large rolls. At your hardware store, you cut tubing to the lengths the customers want. You also provide
MrRa [10]

Answer: \frac{1}{36}\pi L

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

V=\pi r^2h

Where "r" is the radius and "h" is the height.

Make the conversion from inches to feet. Since 1\ ft=12\ in,you get:

(2\ in)(\frac{1\ ft}{12\ in})=\frac{1}{6}\ ft

So in this case you  can identify that:

r=\frac{1}{6}\\\\h=L

Then, substituting them into the formula and simplifying you get:

V=\pi(\frac{1}{6})^2L\\\\V=\frac{1}{36}\pi L

Therefore, the expression for the volume of L feet of drainage tubing, in cubic feet is:

\frac{1}{36}\pi L

4 0
1 year ago
Read 2 more answers
In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.
BaLLatris [955]

Answer:

Around 24 degrees

Step-by-step explanation:

*Make sure calculator is on degree mode*

Try to draw out triangle--it helps

Need to use law of sines... this is where an angle and the side that opposes it are equal to each other. For example, Angle U is equal to 9.7

\frac{sin\alpha }{4} = \frac{sin90}{9.7}

Multiply 4 and sin90 and then divide the product by 9.7

Use sin^{-1} on calculator to convert the answer into degrees

5 0
2 years ago
Data from 14 cities were combined for a​ 20-year period, and the total 280 ​city-years included a total of 107 homicides. After
leonid [27]

Answer:

P(0) =  0.6825

P(1) = 0.2607

Step-by-step explanation:

From the given information, the number of homicide is 107 and the total number of homicides per city –year is 280.

Let us denote the number of homicides per city-year as X.

The mean value, X is calculated as:

\begin{array}{c}\\{\rm{Mean}} = \frac{{107}}{{280}}\\\\ = 0.382\\\end{array}  

Mean=   107/280 = 0.382  

The mean number of homicides per city- year \left( {\lambda = \mu } \right)(λ=μ) is 0.382.

a. The probability that zero homicides is obtained is as below:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ -0.382}}{{\left( {0.382} \right)}^0}}}{{0!}}\\\\ = \frac{{\left( {0.6825 \right)\left( {\rm{1}} \right)}}{1}\\\\ = 0.6825\\\end{array}  

P(X=0) =  e  −0.382  (0.382)⁰​/1  

= (0.6825)(1) /1  

P(X=0) = 0.6825

Thus, the probability that zero homicides P(0) is 0.6825.

b. The probability that one homicides is obtained is as below:

\begin{array}{c}\\P\left( {X = 0} \right) = \frac{{{e^{ -0.382}}{{\left( {0.382} \right)}^0}}}{{0!}}\\\\ = \frac{{\left( {0.6825 \right)\left( {\rm{1}} \right)}}{1}\\\\ = 0.6825\\\end{array}  

P(X=1) =  e  −0.382  (0.382)¹​/1  

= (0.6825)(0.382)/1  

P(X=1) = 0.2607

Thus, the probability that zero homicides P(0) is 0.2607.

​

5 0
2 years ago
Which equation represents a proportional relationship that has a constant of proportionality equal to –10? y = x minus 10 y = x/
kicyunya [14]

Answer:

y=-10x

Step-by-step explanation:

y=-10x

y/x=-10

6 0
1 year ago
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