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Molodets [167]
3 years ago
11

Correct & best answer ill get brainliest.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
4 0
The correct answer I believe in b
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The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
11111nata11111 [884]
(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes

(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)

Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes

(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%

With actual average time to walk to the bus stop being 10 minutes;

(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes

(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.

(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0

From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
8 0
3 years ago
What is the general term equation, an, for the arithmetic sequence 5, 1, â3, â7, . . . , and what is the 21st term of this seque
Valentin [98]
Hello :

the nth term ( general term  of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d , A1 : the first terme
A1 = 5    and : d = 1 - 5 = - 4    n = 21
A21 = 5 + (21 -1)(-4)
A21 = 5 - 80 = -75

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3 0
3 years ago
How does the measure of the pink inscribed angle compare with the measure of the blue intercepted arc? How do you know?
Goryan [66]

Answer:

The pink angle is half the angle subtended by the blue arc.

Step-by-step explanation:

Given

See attachment for circle

Required

Compare the pink angle to the blue arc

Let the pink angle be x and the angle subtended by the blue arc be y.

So, we have:

x \to angle at circumference

y \to angle subtended by arc

The relationship between x and y is:

y =2x

Make x the subject

x = \frac{1}{2}y

7 0
3 years ago
Rapper DaBaby drove at a speed of 45 mph in front of Coosa High School on his way home from North Carolina. What was his speed i
NeTakaya
To find the answer, set up an equation:
\frac{45 \: miles}{1 \: hour}  \times  \frac{1000 \: meters}{1 \: mile}  \times  \frac{1 \: hour}{3600 \: seconds}  =
Using this set up we can cross out the units that are on opposite sides of the proportion such as miles and hours, leaving us with the desired units of meters and seconds. Then calculate m/s by multiplying 45 by 1000 meters and then dividing that value by 3600 seconds.

The resulting answer is 45mph = 12.5 m/s
3 0
3 years ago
Read 2 more answers
Is (5x+6)/2=3-(4x+12) equivalent to 5/2x+3=3-(4x+12) ?
strojnjashka [21]

Answer:

-24/13, yes

Step-by-step explanation:

4 0
3 years ago
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