) If the pattern shown continues, how many black keys appear on a portable keyboard with 49 white keys? Suggestion: use equivale
nt ratios or a rate table to confirm your answer.
2 answers:
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Answer:
Step-by-step explanation:
Assuming a fair die is rolled.
- The sample space comprises 1, 2, 3, 4, 5, 6, with all results being equally probable.
Let X represent the collection of all outcomes. Let A represent a specific outcome.
<pThus, the probability of event A occurring is:
Considering that the set of all possible outcomes for a singular die roll is:
Notably,
Here,
since 8 is not included in the sample space. Therefore, rolling an 8 is impossible within the defined outcomes.
In other terms,
Response:
The loop's length is roughly 49.58 km.
Step-by-step details:
Given:
Duration to cycle the loop = 2 hours and 30 minutes
It is known that;
60 minutes = 1 hour
30 minutes = 0.5 hour
therefore, 2 hours and 30 minutes =
∴ Time to cycle the loop = 2.5 hours
Let 's' denote the cycling speed.
Denote the total loop distance as 'd'
From our understanding;
Distance equals speed times time.
Representing this as an equation we have;
Given:
If her speed increased by 1 km/hr, the time taken around the loop would decrease by 7 minutes.
As a result, we can say;
Speed =
The time then will be shortened by 7 minutes.
7 minutes = 0.12 hours
Consequently, time = 2.5 - 0.12 = 2.38
Again, Distance is calculated as speed times time.
This can be expressed with equations;
The distances are equivalent in both scenarios, thus we will determine speed by equating the equations.
So, Speed = 19.83 km/hr
Loop length (d) =
Therefore, the loop length is approximately 49.58 km.
Explanation:
Hello! Please remember to formulate complete questions to receive accurate answers. I will assume that the depicted function derives from:
This describes the equation of a parabola that opens upwards, with its vertex positioned at:
The graph below illustrates this function. What is true about the graphed function f(x)?
- It is accurate that the domain consists of all real numbers, as this is a polynomial function.
- It is also correct that the range includes all real numbers where y ≥ 5
- It is indeed true that this parabola opens upwards
- It is valid to say it does not intersect the x-axis
