answer.
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
Gala2k
2 months ago
8

While driving from his home to his workplace, Chris has to pass through two traffic lights. The general probability of getting a

red signal at the first traffic light (event A) is 36%. The general probability of getting a red signal at the second traffic light (event B) is 25%. The probability of Chris getting a red signal at both traffic lights is 9%.
Mathematics
2 answers:
AnnZ [12.3K]2 months ago
6 0
These occurrences are unlikely to take place!

I hope this is helpful
Svet_ta [12.7K]2 months ago
3 0
A and B are events that are independent of each other. To elaborate, the probability for event A is 0.36 (or 36%), while for event B it is 0.25 (or 25%). The probability of both events occurring together is 0.09 (or 9%). Therefore, the occurrence of the first traffic light being red does not affect the likelihood of the second light being red, demonstrating that A and B are indeed independent.
You might be interested in
day and night kennel charges $20 per day plus a food fee of $15 to board a pet. home away from home kennel charges $30 per day p
PIT_PIT [12445]
Let n denote the number of days and C the total cost; Charges by Day and Night kennel, C=15+20n Charges by Home Away from Home; C=5 + 30n The resulting system of equations would be; C=15+20n C=5+30n
8 0
1 month ago
Read 2 more answers
A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor. Find t
Inessa [12570]

Answer:

Area= 247 feet²

Volume= 1235 feet³

Step-by-step explanation:

The storage pod features a rectangular base measuring 19 feet by 13 feet, with a flat ceiling height of 5 feet above.

Calculating the area of the floor yields: length multiplied by width

Length = 19 feet

Width = 13 feet

Area = 19*13

Area = 247 feet²

The volume of the pod can be found by multiplying the area by the height

Height of the pod = 5 feet

Area = 247 feet²

Volume = 247*5

Volume = 1235 feet³

4 0
2 months ago
A new weight-watching company, Weight Reducers International, advertises that those who join will lose an average of 10 pounds a
Inessa [12570]

Answer:

The value calculated is Z = 2.53, which exceeds 1.96 at a significance level of 0.05

This leads to the rejection of the null hypothesis H₀

Thus, we accept the alternative hypothesis

This implies that individuals participating in Weight Reducers will lose more than 10 pounds

Step-by-step explanation:

Step(i):-

The size of the random sample 'n' = 50

The new weight-loss program, Weight Reducers International, claims that members will shed an average of 10 pounds within the initial two weeks, with a standard deviation of 2.8 pounds.

Population mean 'μ' = 10 pounds

Population standard deviation 'σ' = 2.8 pounds

Sample mean 'x⁻' = 9

Significance level ∝ = 0.05

Step(ii):-

Null hypothesis: H₀: μ < 10

Alternative hypothesis: H₁: μ > 10

Test statistic calculation

z= \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }

z= \frac{9 - 10}{\frac{2.8}{\sqrt{50} } } = \frac{-1}{0.395} = 2.53

The determined Z value is 2.53

In this case, the critical value Z is 1.96 at the 0.05 significance level

Step(iii):-

Calculated Z value of 2.53 is greater than 1.96 at a significance level of 0.05

Consequently, we reject the null hypothesis H₀

We accept the alternative hypothesis

Conclusion:-

We determine that individuals who sign up for Weight Reducers will experience a weight loss exceeding 10 pounds

6 0
2 months ago
Wes and Libbie each surveyed groups of students to find whether they would prefer going to an art museum or to the zoo. Wes foun
lawyer [12517]

Answer:

A.

Step-by-step explanation:

7 0
3 months ago
the volume of a cone is 3πx3 cubic units and its height is x units. which expression represents the radius of the cone’s base, i
Inessa [12570]
The volume provided is 3Pi(x^3) with a radius of x. To determine the volume of a cone, the formula used is V= [1/3]Pi(r^2)*height. By substituting, we get [1/3]Pi(r^2)x = 3Pi(x^3). This simplifies to (r^2)x = 9(x^3). Eventually, we find that r^2 = 9x^2, which leads to r = sqrt[9x^2] = 3x. <span>Answer: r = 3x</span>
7 0
2 months ago
Read 2 more answers
Other questions:
  • If a =5, 0, −1,find a vector b such that compab = 2.b = _______.
    6·1 answer
  • Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs \$3.25$3.25dollar
    15·2 answers
  • [GEOMETRY] If m∠DEG= 5x - 4 m∠GEF=7x - 8 m∠DEH= 9y + 5 find the values of x and y
    12·1 answer
  • Molly has a $2500 down payment saved for this purchase, and the dealer's $1500 Cash Allowance will come straight off her total.
    14·2 answers
  • As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than
    5·2 answers
  • Boxplots A and B show information about waiting times at a post office. Boxplot A is before a new queuing system is introduced a
    5·1 answer
  • Which is the graph of g(x) = 2x – 1 + 3?
    5·2 answers
  • The point (Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, StartFraction StartRoot 2 EndRoot Over 2 EndFraction)
    12·2 answers
  • Which of the equations below represents a line perpendicular to the x-axis?
    8·2 answers
  • Mike can stitch 7 shirts in 42 hours. He can stitch 1 shirt in hours, and in 1 hour he can stitch of a shirt.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!