(2x + 3)/5 = (x - 2)/3<br><br> What is x?

Find ln 5.1 to the nearest thousandth

LenKa [72]

Answer:

5.1.

Step-by-step explanation:

5.1 = 5.1000. You would then round down to find the nearest thousandth, which is 5.1.

Hope this helps!

8 0

3 years ago

Dylan place is a ladder against the wall. The base of the ladder is 5 feet from the wall. The latter is 12 feet long. How high w

Dvinal [7]

Answer:

13

Step-by-step explanation:

Equation: a^2 + b^2 = c^2

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2 also equals (the square root of 169 = c)

The square root of 169 = 13

C = 13

4 0

3 years ago

Which explanation uses the number line to show 5 + (-5) =0

Ray Of Light [21]

Answer:

+5 is right and - 5 is left

Step-by-step explanation:

I. If 5 + (-5) = 0

then 5 - 5 = 0

If 5 is on the right side

then -5 is on the left side

3 0

3 years ago

The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams

JulsSmile [24]

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that $\mu = 90, \sigma = 2$