1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ne4ueva [31]
3 years ago
15

Andrew drives through 5 intersections with stoplights on his way to work. He records that he is stopped by a red light in 2 of t

he 5 intersections. If he uses this as his general probability of getting stopped at a red light on his way to or from work, how many times can he expect to be stopped at a red light over the next 40 times he drives through an intersection on his route? Andrew should expect to be stopped times.
Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0

Answer:

He should expect to be stopped a total of 16 times

Step-by-step explanation:

What the question is saying is that out of every 5 intersections, he would be stopped at 2.

Now, for forty times in which he passes through an intersection , we want to know the number of times in which he would be stopped

In this case we only need to multiply the probability by the number of times in which he passes an intersection and that would be 2/5 * 40 = 16 times

You might be interested in
Given the formula C = 2r, what does C stand for?
BaLLatris [955]
Circumference of a circle
6 0
3 years ago
Read 2 more answers
The height of tower a is 802 feet more than tower
igomit [66]

The height of tower A is 1016 feet and tower B is 212 feet.

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

Suppose , the height of tower B is h feet.

As the height of tower A is 802 feet more than tower  B , so the height of tower B will be : (h+802) feet

Given that, the two towers have a combined height of 1226 feet.

So, the equation will be...

h+(h+802)=1226\\ \\ 2h=1226-802\\ \\ 2h=424\\ \\ h= \frac{424}{2}=212

Thus, the height of tower B is 212 feet and height of tower A is (212+802) feet = 1016 feet.


5 0
3 years ago
Ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhh<br> eee
never [62]
HHGhHHhHGFfUIKKKjBvvA
5 0
3 years ago
Read 2 more answers
A sine function had an amplitude of 3, period of 6pi, horizontal shift of 3pi/2, &amp; vertical shift of -1.
Simora [160]

Answer: \bold{y=\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

f(x) = A sin (Bx - C) + D

  • amplitude = |A|
  • period =\dfrac{2\pi}{B}
  • phase shift =\dfrac{C}{B}
  • vertical shift = D

<u>A</u>

amplitude of 3 is given so  3 = |A| → A = ± 3, since it is stated that this is a positive function, then A = 3

<u>B</u>

period of 6π is given so 6\pi=\dfrac{2\pi}{B}\quad \rightarrow \quad B=\dfrac{2\pi}{6\pi}\quad \rightarrow \quad B=\dfrac{1}{3}

<u>C</u>

\text{phase shift is given as}\ \dfrac{3\pi}{2}\ \text{so}\ \dfrac{3\pi}{2}=\dfrac{C}{\frac{1}{3}}\quad \rightarrow\quad \dfrac{(\frac{1}{3})3\pi}{2}=C\quad \rightarrow\quad \dfrac{\pi}{2}=C

<u>D</u>

vertical shift of -1 is given so -1 = D


Now, substitute the values of A, B, C, and D into the formula (above):

f(x) = 3\ sin \bigg(\dfrac{1}{3}x - \dfrac{\pi}{2}\bigg) - 1


Next, solve when x = 2π

f(2\pi) = 3\ sin \bigg(\dfrac{1}{3}(2\pi) - \dfrac{\pi}{2}\bigg) - 1

        = 3\ sin \bigg(\dfrac{2\pi}{3} - \dfrac{\pi}{2}\bigg) - 1

        = 3\ sin \bigg(\dfrac{4\pi}{6} - \dfrac{3\pi}{6}\bigg) - 1

        = 3\ sin \bigg(\dfrac{\pi}{6}\bigg) - 1

        = 3\ \bigg(\dfrac{1}{2}\bigg) - 1

        =\dfrac{3}{2}-\dfrac{2}{2}

        =\dfrac{1}{2}

6 0
3 years ago
I really need help please
morpeh [17]

Step-by-step explanation:

GI = GI (common)

GJ=HI(given)

GH = JI(given)

so triangle GJL and triangle GHI are congruent by S.S.S axiom,

<J=<H (corresponding angle of congruent triangles are equal)

proved...

8 0
3 years ago
Other questions:
  • Find Surface Area...
    7·1 answer
  • 9/10 divide by -3/15 as a mixed number
    8·2 answers
  • Classify the angle pair as corresponding, alternate interior, alternate exterior, consecutive interior, consecutive exterior, ve
    5·1 answer
  • (NEED ASAP) In Step 2 A. Addition b. Subtraction c. Multiplication d. Division
    7·1 answer
  • How do I figure out which graph to make?
    5·1 answer
  • If the length o a football is 100 yards and the width is 53.3 yars,what is the area
    15·2 answers
  • Subtract -23 - (-15)
    13·2 answers
  • Solve the following proportion:<br> 15 X – 3<br> 3<br> 5. .<br> X=<br> Back<br> Next
    13·1 answer
  • The area of the four walls of a room is 156 m2. The breadth and height of the room are 8 m and 6 m
    5·1 answer
  • A family reunion will include a picnic. Hamburger buns come in packages of 8 and the hamburger patties come in packages of 20. H
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!