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djverab [1.8K]
4 years ago
9

The probability of a randomly selected car crashing during a year in a certain country is 0.04780.0478. if a family has three th

ree ?cars, find the probability that at least one of them has a car crash during a year. is there any reason why the probability might be? wrong
Mathematics
1 answer:
BabaBlast [244]4 years ago
6 0
We now that the probability that one randomly selected car will crash in the year is <span>0.047800478.
If a family has three cars, this means that the probability that some of their car will crash in the next year is : 3 * the probability that one randomly selected car will crash = 3 * </span><span>0.047800478.  = 0.143401434</span>
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Which representation of a transformation on a coordinate grid preserves congruence?
Zepler [3.9K]

Answer:

Rotations, reflections and translations.

Step-by-step explanation:

Rotations, reflections and translations are transformations that preserve the both the angle measurements and the lengths of the sides, so congruence is preserved.

Dilations are transformations that keep the angle measurements, but the side lengths change, so the transformation is similar, not congruent.

3 0
3 years ago
write an equation of the line that is parallel to the given line and that passes through the given point. y=5/2x - 10; (-6,-29)
dlinn [17]
Write the standard form of a line, the slope is 5/2 since they are parallel and then replace the coordinates.
y-(-29) = 5/2 (x-(-6)) -> y=5/2x-14
6 0
3 years ago
Describe the graph of y=3/4x-12 as compared to the graph of y=1/x
Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function y=\frac{3}{4x-12} as compared to the graph of y=\frac{1}{x}.

We can write our transformed function as:

y=\frac{3}{4(x-3)}

y=\frac{3}{4}*\frac{1}{(x-3)}

Now let us compare our transformed function with parent function.

Let us see rules of transformation.  

f(x-a)\rightarrow\text{Graph shifted to the right by a units},

f(x+a)\rightarrow\text{Graph shifted to the left by a units},

Scaling of a function: a*f(x)

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0
4 years ago
How do I write y=2x-7 in function notation?
mrs_skeptik [129]
Thus is how you write y=2x-7 in a function notation. ANSWER:F(x)=2x-7.
5 0
4 years ago
Read 2 more answers
Evaluate f(x) = 2|x – 5| for f(–5) and f(0).
Elanso [62]

Answer:

f(–5) = 20, f(0) = 10

Step-by-step explanation:

f(-5):

f(-5) = 2|-5 -5|

f(-5) = 2|-10|

f(-5) = 2(10)

f(-5) = 20

f(0):

f(0) = 2|0 - 5|

f(0) = 2|-5|

f(0) = 2(5)

f(0) = 10

7 0
3 years ago
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