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Over [174]
3 years ago
8

Help please need to be done ASAP

Mathematics
1 answer:
storchak [24]3 years ago
5 0
Answer: 16, 3, 9, 80
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The probability that a civil servant own a car is 1/6,if two civil servants are selected at random.find the probability that
Elodia [21]

Answer:

The data we have is:

the probability that a civil servant own a car is 1/6

Two civil servants are selected at random.

a) The probability that each own a car.

Ok, here we have two events:

Person 1 haves a car.

Person 2 haves a car.

The probability of each of those events is the same, 1/6.

P1 = 1/6

P2 = 1/6

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities.

P = P1*P2 = (1/6)*(1/6) = 1/36.

b) Only one has a car.

Suppose that Person 1 has the car and Person 2 has not a car.

The probability for person 1 is 1/6.

And for person 2, is the negation of having a car:

So if we have prob of having a car = 1/6

Then the probability of not having a car is = 1 - 1/6 = 5/6.

Then we have:

P1 = 1/6

P2 = 5/6.

The joint probability is:

P = P1*P2 = (1/6)*(5/6) = 5/36.

But we also have the case where person 1 does not have a car, and person 2 does have one, then we have a permutation, and the actual probability is two times the obtained above.

P = 2*(5/36) = 10/36

4 0
3 years ago
Identify an equation in point-slope form for the line parallel to y = 1*-7 that
kakasveta [241]

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

y + 2 = 1 (x+3) ............> y + 2 = x + 3

<u><em>Explanation:</em></u>

<u>The general form of the equation of a line in point-slope form is:</u>

y - y₁ = m (x - x₁)

<u>where:</u>

m is the slope of the line

(x₁ , y₁) is a point that belongs to the line

<u>The general form of the equation of a line in slope-intercept form is:</u>

y = mx + c

<u>where:</u>

m is the slope

c is the y-intercept

<u>1- Getting the point:</u>

We are already given the point (-3 , -2) so we'll directly use it

<u>2- Getting the slope</u>

<u>We are given that our line is parallel to the line:</u>

y = 1x - 7

We know that parallel lines have equal slopes

<u>This means that:</u>

slope of the line we want = 1

<u>3- Getting the equation:</u>

Substitute with the point and slope in the above form to get the equation

<u>This is done as follows:</u>

y - y₁ = m (x - x₁)

y - (-2) = 1 (x - (-3))

y + 2 = 1 (x + 3)

y + 2 = x + 3

Hope this helps :)

4 0
2 years ago
I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!
morpeh [17]

Answer:

for b-10 the b=5    and b+10 b=4

Step-by-step explanation:

3 0
3 years ago
A rectangular airstrip measures 32.30 m by 210 m, with the width measured more accurately than the length. Find the area, taking
Bingel [31]

Answer: (d). Area = 6.8 × 10^3 m^2 (to 2 significant figure)

Step-by-step explanation:

The area to find rectangular is:

Area = length × breadth

Area = 32.30 × 210

Area = 6783 m^2

Area = 6.8 × 10^3 m^2 (to 2 significant figure)

5 0
3 years ago
Which of the following could be the equation of the graph shown below?
Mrac [35]

Answer:

According to the proposed interrogate, as well as the graph provided, the correct answers to such are identified as B. Y = -2x + 5 and C. 2x + y = 4.

Step-by-step explanation:

To evaluate such, a comprehension of linear Cartesian data is required:

Slope = rise/run. If there is a negative rise, the direction of the line is proportional to the left-hand side as it exponentially grows or augments in units.

Y-intercept: The peculiar point in which the linear data observed intersects the y-axis.

X-intercept: The peculiar point in which the linear data observed intersects the x-axis.

Since this is a negative linear, all negative slopes apply.

The interrogate states, “Check all that apply.” Thus, there may be more than one correct answer, shall such be disseminated.

A. Cannot be the answer as the line should have been a horizontal line contained within quadrants I and II on the Cartesian Plane.

B. Contains a negative slope, thus is disclosed as a correct answer.

C. This configuration is denoted in “Standard Form” or “General Form”. To convert this to “Slope-Intercept Form” the following must be executed mathematically:

2x + y = 4

Y = -2x + 4 <== Slope-Intercept Form (Contains a negative slope, thus considered a correct answer.

D. Likewise, this configuration is denoted in “Standard Form” or “General Form”. To convert this to “Slope-Intercept Form” the following must be executed mathematically:

X - y = 9

-y = -x + 9

Y = x - 9 <== Slope-Intercept Form (Cannot be considered as the correct answer, given the positive slope configuration, thus is marked out).

Thus far, as evaluated, the correct answers to the proposed interrogate, as according to the linear data provided in the Cartesian Plane is acknowledged, and henceforth disseminated, as B. Y = -2x + 5 and C. 2x + y = 4.

*I hope this helps.

8 0
2 years ago
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