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VMariaS [17]
4 years ago
15

if x is the first, or smallest, of three consecutive integers, express the sum of the integer and the third integer as an algebr

aic expression containing the variable x.
Mathematics
1 answer:
Scrat [10]4 years ago
5 0

Consecutive numbers differ by one. So, if x is the first, the three numbers are

x,\ x+1,\ x+2

The sum of the first and third integer is

x+(x+2)=2x+2

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What is a correct way to rewrite p m p n pmpn ?
Akimi4 [234]

Answer:

p^{4}m^{2}n^{2}

Step-by-step explanation:

collect like terms and multiply

(p×p×p×p)×(m×m)×(n×n)

5 0
3 years ago
Read 2 more answers
What is the results of adding these two equations?<br> 6x+2y=-2<br> 3x-2y=-5
Bess [88]

Answer:

x=-7/9, y=4/3. (-7/9, 4/3).

Step-by-step explanation:

6x+2y=-2

3x-2y=-5

-----------------

9x=-7

x=-7/9

6(-7/9)+2y=-2

-42/9+2y=-2

2y=-2-(-42/9)

2y=-2+42/9

2y=-18/9+42/9

2y=24/9

y=(24/9)/2

y=(24/9)(1/2)

y=24/18

y=4/3

5 0
3 years ago
The number of people arriving for treatment at an emergency room can be modeled by aPoisson process with a rate parameter of 5/h
saveliy_v [14]

Answer:

(a) The probability of having exactly four arrivals during a particular hour is 0.1754.

(b) The probability that at least 3 people arriving during a particular hour is 0.7350.

(c) The expected arrivals in a 45 minute period (0.75 hours) is 3.75 arrivals.

Step-by-step explanation:

(a) If the arrivals can be modeled by a Poisson process, with λ = 5/hr, the probability of having exactly four arrivals during a particular hour is:

P(X=4)=\frac{\lambda^{X}*e^{-\lambda}  }{X!} =\frac{5^{4}*e^{-5}  }{4!}=\frac{625*0.006737947}{24} =\frac{4.211}{24}=0.1754

The probability of having exactly four arrivals during a particular hour is 0.1754.

(b) The probability that at least 3 people arriving during a particular hour can be written as

P(X>3)=1-P(X\leq3)=1- (P(0)+P(1)+P(2)+P(3))

Using

P(X)=\frac{\lambda^{X}*e^{-\lambda}  }{X!}

We get

P(X>3)=1-P(X\leq3)=1- (P(0)+P(1)+P(2)+P(3))\\P(X>3)=1-(0.0067+ 0.0337+ 0.0842 + 0.1404 )\\P(X>3)=1-0.2650=0.7350\\

The probability that at least 3 people arriving during a particular hour is 0.7350.

(c) The expected arrivals in a 45 minute period (0.75 hours) is

EV=\lambda*t=5*0.75=3.75

8 0
3 years ago
Find all rational zeros and factor f(x) for<br> x^3 + 2x^2 -45x -126
alexdok [17]
The rational root are x= 7,-3,-6
You can find them by substituting y for 0
6 0
4 years ago
8. The number 501,800,000 expressed in scientific notation is 5.018 · 10-8.
Anna35 [415]
To solve this, we need to know what 501,800,000 is in scientific notation. We can figure out what <span>501,800,000 is in scientific notation by first figuring out what we're going to be multiplying by ten to the power of x. We're going to multiply 5.018 by 10 to the power of x because it 5.018 is the what happens when you put a dot after the first number and then get rid of all the zeroes after the last non-zero number (which is what scientific notation is about). Now we need to figure out what we need to multiply 5.018 by to get to </span>501,800,000. We need to multiply 5.018 by 10^{8} to get to 501,800,000, so <span>501,800,000 in scientific notation is 5.018 </span>· 10^{8}. Since we now see that the two values are not equal, the answer to the question is false. 
6 0
3 years ago
Read 2 more answers
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