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Savatey [412]
3 years ago
9

PLEASE HELP look at the pic for the question

Mathematics
1 answer:
Schach [20]3 years ago
8 0

Answer:

I believe 55

Step-by-step explanation:

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An engineer commutes daily from her suburban home to her midtown office. The average time for a one-way trip is 36 minutes, with
Ivanshal [37]

Answer:

57.93% probability that a trip will take at least 35 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 36, \sigma = 4.9

What is the probability that a trip will take at least 35 minutes

This probability is 1 subtracted by the pvalue of Z when X = 35. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{35 - 36}{4.9}

Z = -0.2

Z = -0.2 has a pvalue of 0.4207

1 - 0.4207 = 0.5793

57.93% probability that a trip will take at least 35 minutes.

3 0
3 years ago
Lindsey’s cookie recipe uses 1 1/2 cups of brown sugar to make 2 dozen cookies. Lexi wants to make only 1 dozen cookies. How muc
Xelga [282]

Answer:

3/4 cups

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Determining the Scale Factor of a Dilation Consider the dilation of pentagon ABCDE by a scale factor of If AB = 12, then A'B' A&
barxatty [35]
<h3>Answer:</h3>

<u>If AB = 12units, then</u>

  • A'B' = 1/2 × 12 = 6units.

<u>If C'D' = 5units, then</u>

  • CD = 2 × 5 = 10units.

5 0
3 years ago
An object moves along a coordinate axis so that its position at time t is given by s(t)=t3. Estimate its instantaneous velocity
Mademuasel [1]

If the position at time <em>t</em> is

<em>s(t)</em> = (1 m/s³) <em>t</em> ³

then the average velocity over <em>t</em> = 2 s and <em>t</em> = 2.001 s is

<em>v</em> (ave) = (<em>s</em> (2.001 s) - <em>s</em> (2 s)) / (2.001 s - 2 s)

<em>v</em> (ave) = ((1 m/s³) (2.001 s)³ - (1 m/s³) (2 s)³) / (2.001 s - 2 s)

<em>v</em> (ave) ≈ (8.01201 m - 8 m) / (0.001 s)

<em>v</em> (ave) ≈ 12.006 m/s

6 0
3 years ago
The times (in minutes) that several underwriters took to review applications for similar insurance coverage are 50, 230, 52, and
Helen [10]

Answer:

The median is located at the 2.5th position, which is halfway between the values 52 and 57.

Step-by-step explanation:

The Median is referred to as the Middle term of a set of Data when ordered in Ascending/Descending order.

Consider the numbers 50, 230, 52, and 57

Arranging them in an Ascending Order

50, 52, 57, 230

The number of data in the set is even.

Dividing the data into two halves (50, 52 and 57, 230)

The median is halfway between the two halves.

The median is located at the 2.5th position, which is halfway between the values 52 and 57.

3 0
4 years ago
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