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4 years ago

Brainliest to first correct answer.

Mathematics

2 answers:

dsp734 years ago

8 0

Answer: D. L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

Step-by-step explanation: Since L1 and L3 are both perpendicular to L2, L4 is parallel to L1 if L1 is parallel to L3

Juliette [100K]4 years ago

6 0

Answer:

The correct option is D.

Step-by-step explanation:

It is given that L1 is perpendicular to L2, L2 is perpendicular to L3, and L3 is parallel to L4.

L1 ⊥L2, L2 ⊥ L3, L3║L4.

If one line perpendicular to second line and second line perpendicular to third line, then first and third line are parallel.

$L_1\perp L_2,L_2\perp L_3\Rightarrow L_1\parallel L_3$

Using transitive property of parallel lines.

$L_1\parallel L_3,L_3\parallel L_4\Rightarrow L_1\parallel L_4$

L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

Therefore the correct option is D.

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The population in the town of Huntersville is presently 38,300. The town grows at an annual rate of 1.2%. Find the population of

Basile [38]

Hi there! So the situation that we are talking about for this is compounding, because the population is growing.. The formula for compounding something is P(1 + r)^t, with P representing the initial amount, r representing the rate, and t representing the time in years. First off, let's add the rate into 1. 1.2% is 0.012 in decimal form. 1 + 0.012 is 1.012. Now, because we are looking for the population after 4 years. We raise 1.012 to the 4th power. 1.012^4 is 1.04887093274. It's a long decimal, but do not delete this number from your calculator. Now, we multiply that number by 38,300 in order to get 40,171.7567238 or 40,172 when rounded to the nearest whole number. There. The population of Huntersville will be 40,172 people in 4 years.

3 0

3 years ago

A consulting firm has received 2 Super Bowl playoff tickets from one of its clients. To be fair, the firm is randomly selecting

Soloha48 [4]

Answer:

Therefore the only statement that is not true is b.)

Step-by-step explanation:

There employees are 6 secretaries, 5 consultants and 4 partners in the firm.

a.) The probability that a secretary wins in the first draw

= $\frac{number \hspace{0.1cm} of \hspace{0.1cm} secreataries}{total \hspace{0.1cm} number \hspace{0.1cm} of \hspace{0.1cm} employees} = \frac{6}{15}$

b.) The probability that a secretary wins a ticket on second draw. It has been given that a ticket was won on the first draw by a consultant.

p(secretary wins on second draw | consultant wins on first draw)

= $\frac{p((consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)\cap( secretary\hspace{0.1cm} wins\hspace{0.1cm} on second \hspace{0.1cm}draw))}{p(consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)}$

= $\frac{\frac{5}{15} \times \frac{6}{14}}{\frac{5}{15} } = \frac{6}{14}$ .

The probability that a ticket was won on the first draw by a consultant a secretary wins a ticket on second draw = $\frac{6}{15}$ is not true.

The probability that a secretary wins on the second draw = $\frac{number \hspace{0.1cm} of \hspace{0.1cm} secretaries \hspace{0.1cm} remaining } { number \hspace{0.1cm} of \hspace{0.1cm} employees \hspace{0.1cm} remaining} = \frac{6 - 1}{15 - 1} = \frac{5}{14}$

c.) The probability that a consultant wins on the first draw =

$\frac{number \hspace{0.1cm} of \hspace{0.1cm} consultants \hspace{0.1cm} } { number \hspace{0.1cm} of \hspace{0.1cm} employees \hspace{0.1cm} } = \frac{5 }{15} = \frac{1}{3}$

d.) The probability of two secretaries winning both tickets

= (probability of a secretary winning in the first draw) × (The probability that a secretary wins on the second draw)

= $\frac{6}{15} \times \frac{5}{14} = \frac{1}{7}$

Therefore the only statement that is not true is b.)

5 0

3 years ago

What value for x satisfies the equation below? 12(x-2)+3x=13(x+12)+10x

inna [77]

Answer: Exact Form: x = − 45 /2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

8 0

3 years ago

AC = Round your answer to the nearest hundredth. 5 ? 35 B

Bingel [31]

Answer:2.87

Step-by-step explanation:sin =opp/hyp

Sin 35=ac/5

Cross multiply

Sin 35 x 5 = ac

0.5736 x 5 =ac

2.868=ac

Ac=2.87

3 0

3 years ago

A test for marijuana usage was tried on 170 subjects who did not use marijuana. The test result was wrong 8 times.a. Based on th

motikmotik

Answer:

a. 0.047

b. Unlikely.

Step-by-step explanation:

a. The probability of a test result being wrong for a person not using mrijuana = 8 / 170 = 0.047.

b. As the probability for a wrong result is < 0.05 we can say that the test is unlikely to be wrong.

6 0

3 years ago