19) Solve the absolute value equation.

What is the kinetic energy of a 50-kg child running to catch the school bus at 2 m/s

aev [14]

Answer:

100 J

Step-by-step explanation:

The formula for kinetic energy is as follows:

$\boxed{KE= \frac{1}{2} mv²}$

where

KE= kinetic energy (J)

m= mass (kg)

v= velocity (m/s)

Given: m= 50 kg, v= 2 m/s

Substituting the given information into the formula:

KE

= ½(50)(2²)

= ½(50)(4)

= 100 J

7 0

2 years ago

Elena collects 112 specimens of beetle and records their lengths for an ecology research project. When she returns to the labora

pantera1 [17]

Answer:

The correct option is;

C. She should go back and remeasure all of her specimens again to find the error. If she can't do this, she should eliminate the outlier from the analysis, because this is an error in recording

Step-by-step explanation:

In order to minimize error in measurement, some valuable steps includes;

1) Perform a double check on all measurements to ensure that the measurements recorded are accurate

2) Ensure proper training before taking measurements

3) Measurements should only be taken under controlled conditions

4) Separate the entire population into smaller groups for proper recording

5) Have a second observer double check the records

7 0

3 years ago

A normal distribution has a mean of 137 and a standard deviation of 7. Find the z-score for a data value of 121. Incorrect Round

Neko [114]

Answer:

The z-score for a data value of 121 is -2.29.

Step-by-step explanation:

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:

$\mu = 137, \sigma = 7$