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2) As part of traffic accident investigations, the speed of a car involved can be approximately determined by checking actual sk

dezoksy [38]

a) The speed of car was 60 mph.

b) The speed of car was 45 mph.

Step-by-step explanation:

Given,

a = actual skid marks

p = test skid marks

Formula;

$s=30*\sqrt{\frac{a}{p}}\\$

a) a = 144 feet, p = 36 feet

Putting in formula;

$s = 30*\sqrt{\frac{144}{36}}\\\\s=30*\sqrt{4}\\\\s=30*2\\\\s=60$

The speed of car was 60 mph.

b) a = 153 feet, p = 68 feet

Putting in formula;

$s=30*\sqrt{\frac{153}{68}}\\\\s=30*\sqrt{2.25}\\\\s=30*1.5\\\\s=45$

The speed of car was 45 mph.

Keywords: substitution, speed

Learn more about substitution at:

#LearnwithBrainly

4 0

3 years ago

Hello :) how to do this question?

Ksivusya [100]

Answer:

5(x+4)(x+1)(x-3)

Step by step:

We know that the polynomial has 3 roots -4, -1, & 3.
Therefore the factors of the polynomial are (x+4), (x+1) and (x-3).
Since the coefficients of x^3 is 5

Thus final answer comes out to be

5(x+4)(x+1)(x-3)

Answered by GAUTHMATH

7 0

3 years ago

In one city, the probability that a person will pass his or her driving test on the first attempt is 0.68. Eleven people are sel

kolezko [41]

Answer:

0.0308 = 3.08% probability that among these 11 people, the number passing the test is between 2 and 4 inclusive

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they pass the test on their first attempt, or they do not. Each person is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In one city, the probability that a person will pass his or her driving test on the first attempt is 0.68.

This means that $p = 0.68$

Eleven people are selected at random from among those taking their driving test for the first time.

This means that $n = 11$

What is the probability that among these 11 people, the number passing the test is between 2 and 4 inclusive

This is

$P(2 \leq X \leq 4) = P(X = 2) + P(X = 3) + P(X = 4)$ .

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{11,2}.(0.68)^{2}.(0.32)^{9} = 0.0009$

$P(X = 3) = C_{11,3}.(0.68)^{3}.(0.32)^{8} = 0.0057$

$P(X = 4) = C_{11,4}.(0.68)^{4}.(0.32)^{7} = 0.0242$

$P(2 \leq X \leq 4) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0009 + 0.0057 + 0.0242 = 0.0308$ .

0.0308 = 3.08% probability that among these 11 people, the number passing the test is between 2 and 4 inclusive

6 0

3 years ago

The radius of the circle is 2 units

photoshop1234 [79]

Answer:

Diameter is basically double the radius, a physical representation of it is a full line that goes across the middle of the circle, if that makes sense. So you do 2 x 2 = 4 units

Hope that answers your question

8 0

3 years ago

For every 5 red beads there are 3 white beads. What is the ratio of red to white?

ivanzaharov [21]

5:3 5/3 5to3. It's because there are 5 red beds and 3 white beds... So 5 red beds to 3 white beds

3 0

3 years ago