100t^2 - 80t + 16 = 0

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

Please answer quick!

marysya [2.9K]

Answer:

The correct option is B

(-1)(1/2)(-1)(1)

Step-by-step explanation:

First thing to notice is that there is are two brackets with negative values, which means that the result must also be positive (or have two brackets with negative values).

Looking at the options, we can screen out options A and D, they have three brackets with negative values, and can't be chosen.

It is now between options B and C.

Option B, by inspection is simply 1/2

Option C is 12/4 = 3

The problem itself is 12/35

12/24 = 1/2

12/36 = 1/3

Since 12/35 is about 1/3, it is closer to 1/2 than 3, so 1/2 is the best option.

6 0

3 years ago

The bases of a right prism are rhombi with area A = 44 cm2. The height of the prism is h=2.3 dm. Find the volume V of the prism.

Allushta [10]

The volume is 1012 cm³.

The volume of a right prism is found by multiplying the area of the base and the height. First we need to convert the height to centimeters.

1 dm = 10 cm
2.3 dm = 2.3(10) = 23 cm

Now we have 44(23) = 1012 cm³

8 0

3 years ago

A light bulb consumes 960 watt hours per day how long does it take to consume 4320 watt hours

VARVARA [1.3K]

Since we need to determine how long it takes for the watt hours to consume 4320 watt hours, we would need to divide.

We would simply divide.

4320/950= 4.5

The 4.5 represents how long it would take for the light bulb to consume 4320 watt hours.

Therefore, the answer would be 4.5 days.

<u>Answer</u>

4.5 days

<u>Recap</u>

1. We read the problem and determined that in order to solve the problem we would need to divide.

2. We then divided 4320/960= 4.5

3. We came to the conclusion that 4.5 days would be the answer.

7 0

4 years ago

Which measure represents the standard deviation of the sample means and is used in place of the population standard deviation wh

Ksivusya [100]

The measure represents the standard deviation of the sample means and is used in place of the population standard deviation when the population parameters are unknown is; t-test.

<h3>Which measure is used when the population parameters are unknown?</h3>

A hypothesis test for a population mean when In the case that the population standard deviation, σ, is unknown, carrying out a hypothesis test for the population mean is done in similarly like the population standard deviation is known. A major distinctive property is that unlike the standard normal distribution, the t-test is invoked.