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blagie [28]
2 years ago
13

I need this ASAP. Pls help

Mathematics
1 answer:
worty [1.4K]2 years ago
7 0

Answer:

answer is below. you can use photo math

Step-by-step explanation:

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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
50 points help asap!
Luden [163]

Answer:

58 feet.

Step-by-step explanation

Since the angle given is across from the length we need to find and we are given the hypotenuse, we use sine.

Sin(46)=x/80 where x is the height of the triangle and 80 is the hypotenuse.

80sin(46)=x

x=57.55 or 58 feet.

8 0
2 years ago
Read 2 more answers
0.5757… as a fraction
Radda [10]

Answer:

Your answer is \frac{19}{33}

Step-by-step explanation:

That is kind of hard. I have used the internet to help create that repeating decimal to a fraction and got that as your answer.

7 0
2 years ago
Read 2 more answers
Janice and her dad are building a treehouse. Her dad bought a box of 155 nails for $3.10 and a box of 85 screws for $7.65. How m
Degger [83]
3.10/155= 0.02 } subtract = 0.07 more
7.65/85= 0.09 }
7 0
3 years ago
Read 2 more answers
Consider a manufacturing process called as turning (a type of machining process) that is used to manufacture cylindrical metal s
Sav [38]

Answer: 86.64%

Step-by-step explanation:

Let x be a random variable that represents the diameter of metal samples.

Given : Population mean : \mu=10

Standard deviation: s=0.50

Specified tolerance on the diameter is 0.75 mm.

i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75

Formula to find the z-score corresponds to x: z=\dfrac{x-\mu}{s}

At x= 0.75,  z=\dfrac{9.25-10}{0.50}=-1.5

z=\dfrac{9.25-10}{0.50}=1.5

Using standard normal table for z-value,

P-value : p(-1.5

∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%

6 0
3 years ago
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