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Lostsunrise [7]
3 years ago
11

Can you guys help me answer question 1 and 2

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0
For 1 the answer is A. For 2 I can’t see the choices
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The Venn diagram displays the number of employees at United Accounting Firm, in hundreds, who travel to work by a given method a
Svetlanka [38]

Answer:

c

Step-by-step explanation:

if 3500 employees work at the firm, the you minus the total amount of employees taking either a car or the train from 3500 (3500-2300 = 1200)

3 0
3 years ago
Your office parking lot has a probability of being occupied of 1/3. You happen to find it unoccupied for nine consecutive days.
olasank [31]

Answer:

0.4

Step-by-step explanation:

Let X be the random variable that represents the number of consecutive days in which the parking lot is occupied before it is unoccupied. Then the variable X is a geometric random variable with probability of success p = 2/3, with probability function f (x) = [(2/3)^x] (1/3)

Then the probability of finding him unoccupied after the nine days he has been found unoccupied is:

P (X> = 10 | X> = 9) = P (X> = 10) / P (X> = 9). For a geometric aeatory variable:

P (X> = 10) = 1 - P (X <10) = 0.00002

P (X> = 9) = 1 - P (X <9) = 0.00005

Thus, P (X> = 10 | X> = 9) = P (X> = 10) / P (X> = 9) = 0.00002 / 0.00005 = 0.4.

6 0
3 years ago
What is the standard form of y=(x-4)^2-6
Ahat [919]

Answer:

standard form : 2x + y = -2

8 0
3 years ago
The solution to an inequality is (–∞, 6.5]. Is 6.5 a solution to the inequality? Explain your answer. The solution includes numb
Korvikt [17]

Answer:

Because a bracket is used, the solution includes 6.5

The solution includes numbers from negative infinity to 6.5

Step-by-step explanation:

we know that

If the solution for an inequality is (–∞, 6.5]

then

x\leq 6.5

The solution is all real numbers less than or equal to 6.5

so

Because a bracket is used, the solution includes 6.5

The solution includes numbers from negative infinity to 6.5


7 0
3 years ago
Read 2 more answers
Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and
Monica [59]

Step-by-step explanation:

We have got the lines :

y=ax+b\\y=cx+d

Both lines intercept the x-axis in the point :

I = (i_{1} ,i_{2})

In all point from x-axis the y-component is equal to 0.

I=(i_{1},o)

We replace the I point in the lines equations:

0=a(i_{1})+b \\0=c(i_{1})+d

From the first equation :

0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}

From the second equation :

0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}

Then i_{1}=i_{1}

Finally :

\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0
3 years ago
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