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2 years ago

Angles A and B are vertical angles. If mZA = 155 then what must be the measure of angle B?

Mathematics

1 answer:

ollegr [7]2 years ago

8 0

Answer:

Angle B is 155 degrees

Step-by-step explanation:

Vertical angles are congruent; they have the same angle measure.

$m\angle{A} = 155 \cong m\angle{B} = 155$

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Police estimate that 25% of drivers drive without their seat belts. If they stop 6 drivers at random, find the probability tha

Furkat [3]

Answer:

17.80% probability that all of them are wearing their seat belts.

Step-by-step explanation:

For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not. The drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers. So we use the normal probability distribution to solve this problem.

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.

Police estimate that 25% of drivers drive without their seat belts.

This means that 75% wear their seatbelts, so $p = 0.75$

If they stop 6 drivers at random, find the probability that all of them are wearing their seat belts.

This is $P(X = 6)$ .

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

$P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.1780$

17.80% probability that all of them are wearing their seat belts.

3 0

3 years ago

Read 2 more answers

What is the value of y when x = 43<br><br> PLS HELPP

Goryan [66]

Answer:

Hi there~

y=87

X side. Y side

1. 3

2. 5

3. 7

4. 9

5. 11

Step-by-step explanation:

We can see that ix x = 1 and y = 3, then that means 1+2

then its 2+3 then 3+4 and so on

So 43 + 44 = 87

So y should equal 87 :)

3 0

3 years ago

A gumball machine contains 300 grape flavored balls, 400 cherry flavored balls, and 500 lemon flavored balls. What is the probab

Svet_ta [14]

Answer:

Pr(of getting 1grape ball, 1 cherry ball and 1 lemon ball) =0.20832

Step-by-step explanation:

Let the grape falvored ball be represented by G,

Cherry flavored balls be C

Lemon flavored balls be L

the possible order of picks for getting 1grape ball, 1 cherry ball and 1lemon ball are; GCL or GLC or CGL or CLG or LGC or LCG

Pr(of getting 1grape ball, 1 cherry ball and 1 lemon ball)

= Pr(GCL) or Pr(GLC) or Pr(CGL) or Pr(CLG) or Pr(LGC) or Pr(LCG)

with replacement we have;

Probability = $\frac{number of required outcomes}{number of possible outcomes}$

= $\frac{300}{1200}*\frac{400}{1200}*\frac{500}{1200} +\frac{300}{1200}*\frac{500}{1200}*\frac{400}{1200} +\frac{400}{1200}*\frac{300}{1200}*\frac{500}{1200} \\ \\+\frac{400}{1200}*\frac{500}{1200}*\frac{300}{1200} +\frac{500}{1200}*\frac{300}{1200}*\frac{400}{1200} +\frac{500}{1200}*\frac{400}{1200}*\frac{300}{1200}$

= 0.03472 + 0.03472 +0.03472 + 0.03472 + 0.03472 + 0.03472

=0.20832

3 0

3 years ago

ECO algebra 1.

Ugo [173]

$1.\\Communicative\ proprety:\\\\a+b=b+a\\\\Answer:\\b.\ 18+30=30+18$

$1.\\y=mx+b\\\\m-a\ slope\\\\b-y-intercept\\-----------\\\\10y-5x=40\ \ \ /+5x\\10y=5x+40\ \ \ /:10\\y=0.5x+4\to m=0.5\ and\ b=4\\\\Answer:\\d.\ The\ y-itercept\ is\ 4\ and\ the\ slope\ is\ 0.5$

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3 years ago

Pleaseeeeee help me out quickkk solve for x

xxTIMURxx [149]

Answer:

x = 27.2

Step-by-step explanation:

Apply trigonometric function to solve for x.

Reference angle = 54°

Side length opposite to reference angle = 22

Hypotenuse = x

We would apply SOH:

Sin 54 = Opp/Hyp

Sin 54 = 22/x

x*sin 54 = 22

x = 22/sin 54

x = 27.1934955 ≈ 27.2 (nearest tenth)

8 0

3 years ago